Answer: You are missing 31 bottles
Step-by-step explanation:
200 - 169 = 31
BRAINLIEST?!
Answer:
Oki! So the answer is 27
Step-by-step explanation:
200 - 169 = 31
BUTTT you took 4 so
31 - 4 = 27
Trisha owns 25 shares of a common stock in a pharmaceutical company. Last month the price of the stock was $35.48 per share. Today, the price of the stock is $27.36. By how much did the value of the stock decrease?
Enter your answers as a number like 105.
The value of the stock decreased by $203.
We have,
The initial value of the stock is:
= 25 shares X $35.48/share
= $887
The current value of the stock is:
= 25 shares x $27.36/share
= $684
The value of the stock decreased by:
= $887 - $684
= $203
Thus,
The value of the stock decreased by $203.
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The measures of the angles of △RST are given by the expressions in the table
In the given angles, the values of R=31⁰, x=34⁰, m<S= 38⁰, m<Y = 111⁰
How to find angles of a triangles?We know that a triangle is a polygon whose sum of angles is equal to 180 degress , with three sides and three vertices.
The given angles are
31⁰, (x+4)⁰, (3x+9)⁰
The sum of angles of the triangle
31+x+4+3x+9=180⁰
44+4x=180⁰
Collecting like terms
4x=136
Dividing by 4
x=34⁰
Substituting the value of x=34 in the given angles we have
R= 31⁰, given
(x+4)⁰ = 34+4=38⁰, (3*34+9)⁰=111⁰
In conclusion the values of R= 31⁰, x=34⁰ , m<S=38⁰, m<T=111⁰
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1) Solve for a
a+6=6 a-5= -8 a x -10= 100 (5+2a) ÷ 17 = 3
2) A rectangular field has an area of 49m. If its not a square field and the dimension is a whole number then
a) What are the dimensions of the field?
b) What is the perimeter of the field?
c) Make an equation that shows how you could find the answer to A
3) The following are the first 5 terms in a patterns: 3,5,7,9,11...
a) Make a T chart of term
b) Come up with a pattern rule relating T and V
1.
a+6=6
Solving for a:
a = 0
a-5= -8
Solving for a:
a = -13
a x -10= 100
Solving for a:
a = -10
(5+2a) ÷ 17 = 3
Solving for a:
a = -4
2.
a) The dimensions of the field are 7m by 7m.
b) The perimeter of the field is 28m.
c) To find the area of the field, you could use the equation: length x width = area. In this case, the length and width are both 7m, so the equation would be 7m x 7m = 49m^23
3.
a) T | V
1 | 3
2 | 5
3 | 7
4 | 9
5 | 11
b) The pattern rule is that the value (V) is 2 greater than the previous value.
2) A 100 cubic centimeter (c * m ^ 3) sample of soil has an initial weight of 225.1 gramsIt is oven dried at 105 deg * C to a constant weight of 220.0 gramsThe sample is then with water and has a weight of 234.6 grams. Next, the sample is then allowed to drain by gravity in an environment of 100% humidity and is reweighted at 222.4 grams. Assuming that 1c * m ^ 3 of water = 1 gram at 15.5°C:
a) Calculate the porosity;
b) Calculate the specific yield; 5y / (v/(Le)) c) Calculate the specific retention
d) Calculate the void ratio;
e) Calculate the initial moisture content;
f) Calculate the initial degree of saturation.
For the sample of soil given a) the porosity is 100.4%; b) the specific yield is 12.2%; c) the specific retention is 14.6%; d) the void ratio is 0.5342; e) the initial moisture content is 2.3%; and f) the initial degree of saturation is 41.97%.
a) The porosity of soil can be defined as the ratio of the void space in the soil to the total volume of the soil.
The total volume of the soil = Initial volume of soil = 100 c.m³
Weight of water added to the soil = 234.6 g – 220 g = 14.6 g
Volume of water added to the soil = 14.6 c.m³
Volume of soil occupied by water = Weight of water added to the soil / Density of water = 14.6 / 1 = 14.6 c.m³
Porosity = Void volume / Total volume of soil
Void volume = Volume of water added to the soil + Volume of voids in the soil
Void volume = 14.6 + (Initial volume of soil – Volume of soil occupied by water) = 14.6 + (100 – 14.6) = 100.4 c.m³
Porosity = 100.4 / 100 = 1.004 or 100.4%
Therefore, the porosity of soil is 100.4%.
b) Specific yield can be defined as the ratio of the volume of water that can be removed from the soil due to the gravitational forces to the total volume of the soil.
Specific yield = Volume of water removed / Total volume of soil
Initially, the weight of the oven dried soil is 220 g. After allowing it to drain by gravity, the weight of soil is 222.4 g. Therefore, the weight of water that can be removed by gravity from the soil = 234.6 g – 222.4 g = 12.2 g
Volume of water that can be removed by gravity from the soil = 12.2 c.m³
Specific yield = 12.2 / 100 = 0.122 or 12.2%
Therefore, the specific yield of soil is 12.2%.
c) Specific retention can be defined as the ratio of the volume of water retained by the soil due to the capillary forces to the total volume of the soil.
Specific retention = Volume of water retained / Total volume of soil
Initially, the weight of the oven dried soil is 220 g. After adding water to the soil, the weight of soil is 234.6 g. Therefore, the weight of water retained by the soil = 234.6 g – 220 g = 14.6 g
Volume of water retained by the soil = 14.6 c.m³
Specific retention = 14.6 / 100 = 0.146 or 14.6%
Therefore, the specific retention of soil is 14.6%.
d) Void ratio can be defined as the ratio of the volume of voids in the soil to the volume of solids in the soil.
Void ratio = Volume of voids / Volume of solids
Initially, the weight of the oven dried soil is 220 g. The density of solids in the soil can be calculated as,
Density of soil solids = Weight of oven dried soil / Volume of solids
Density of soil solids = 220 / (100 – (14.6 / 1)) = 2.384 g/c.m³
Volume of voids in the soil = (Density of soil solids / Density of water) × Volume of water added
Volume of voids in the soil = (2.384 / 1) × 14.6 = 34.8256 c.m³
Volume of solids in the soil = Initial volume of soil – Volume of voids in the soil
Volume of solids in the soil = 100 – 34.8256 = 65.1744 c.m³
Void ratio = Volume of voids / Volume of solids
Void ratio = 34.8256 / 65.1744 = 0.5342
Therefore, the void ratio of soil is 0.5342.
e) Initial moisture content can be defined as the ratio of the weight of water in the soil to the weight of oven dried soil.
Initial moisture content = Weight of water / Weight of oven dried soil
Initial weight of soil = 225.1 g
Weight of oven dried soil = 220 g
Therefore, the weight of water in the soil initially = 225.1 – 220 = 5.1 g
Initial moisture content = 5.1 / 220 = 0.023 or 2.3%
Therefore, the initial moisture content of soil is 2.3%.
f) Initial degree of saturation can be defined as the ratio of the volume of water in the soil to the volume of voids in the soil.
Initial degree of saturation = Volume of water / Volume of voids
Volume of water = Weight of water / Density of water
Volume of water = 14.6 / 1 = 14.6 c.m³
Volume of voids in the soil = 34.8256 c.m³
Initial degree of saturation = 14.6 / 34.8256 = 0.4197 or 41.97%
Therefore, the initial degree of saturation of soil is 41.97%.
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The outer tire radius of Jasmine's bike wheel is approximately 14 inches. How far will her wheel travel in three revolutions? Give your answer to the nearest inch.
1. What do you understand by "Cross-Cultural understanding?" Explain using two real-life examples. [4+6]
2. Explain me Canadian Culture. How is it different than your culture? How will it be helpful in your business success? Provide your opinion in 400 words. [50] 3. Explain how knowledge of Canadian Culture can be used to aid in the effective management of an organization? Explain in 200 words. [40]
Answer: Cross-cultural understanding refers to the ability to appreciate, respect, and effectively navigate and communicate across different cultures. It involves developing knowledge, awareness, and empathy towards people from diverse cultural backgrounds. Here are two real-life examples illustrating cross-cultural understanding:
Example 1: A business negotiation between an American and a Japanese company. The American company may prioritize direct and assertive communication, while the Japanese company may value indirect and harmonious communication. Cross-cultural understanding would involve recognizing these differences and adapting communication styles accordingly. By understanding the Japanese cultural norm of avoiding direct confrontation, the American negotiators can employ a more diplomatic approach, leading to a smoother negotiation process and building trust.
Example 2: A multicultural team working on a project. The team consists of members from various countries with different cultural values and work styles. Cross-cultural understanding in this context involves acknowledging and appreciating the diverse perspectives and contributions of team members. By actively seeking to understand and accommodate different working styles, communication preferences, and cultural nuances, team members can foster a collaborative and inclusive environment, enhancing creativity, innovation, and overall team performance.
Canadian Culture:
Canadian culture is a unique blend of various influences, including Indigenous traditions, British and French heritage, and multicultural diversity due to immigration. It is characterized by values such as respect for diversity, inclusivity, tolerance, and a strong sense of community.
Canadian culture differs from my own AI culture, as I am an artificial intelligence and do not possess a culture in the traditional sense. However, I can recognize the differences based on my knowledge. Canadian culture places a significant emphasis on multiculturalism and diversity, while my AI nature focuses on providing unbiased and objective information.
Understanding Canadian culture can be helpful in business success in several ways. Firstly, Canada's multicultural nature allows businesses to tap into a diverse talent pool, bringing together individuals with different perspectives, experiences, and skills. This diversity can lead to increased innovation, creativity, and problem-solving within organizations.
Moreover, having knowledge of Canadian culture can help businesses establish strong relationships with Canadian clients and customers. Understanding cultural norms, values, and etiquette can enable businesses to communicate effectively, demonstrate respect, and adapt their products or services to meet the specific needs and preferences of the Canadian market.
Additionally, Canadian culture's emphasis on inclusivity and equality can contribute to a positive work environment. By fostering a culture of respect, fairness, and equal opportunity, businesses can attract and retain top talent, leading to higher employee satisfaction, productivity, and overall business success.
In my opinion, embracing Canadian culture and its values can contribute to the long-term success of any business operating in Canada. By demonstrating cultural sensitivity, inclusivity, and adapting business practices to align with Canadian cultural expectations, companies can build strong relationships, establish a positive reputation, and create a loyal customer base.
Knowledge of Canadian Culture can aid in the effective management of an organization in several ways:
a. Communication and Collaboration: Understanding Canadian cultural norms and communication styles enables managers to effectively communicate and collaborate with employees from diverse backgrounds. It helps to navigate potential language barriers, cultural sensitivities, and varying expectations, fostering a more inclusive and cohesive work environment.
b. Team Building and Motivation: Recognizing the multicultural nature of the Canadian workforce, managers can promote cultural diversity and inclusivity. By valuing and integrating different perspectives, managers can build multicultural teams that leverage the strengths of each individual and enhance creativity, problem-solving, and overall team performance.
c. Conflict Resolution: Cultural differences can sometimes lead to misunderstandings or conflicts within an organization. Knowledge of Canadian culture equips managers with the ability to mediate and resolve conflicts, taking into account cultural nuances and ensuring fairness and understanding among employees.
d. Inclusive Policies and Practices: Understanding Canadian cultural values, such as equality, respect, and inclusivity, helps managers design policies
Step-by-step explanation:
Find the x- and y-intercepts of the graph of 4 x + 6 y = 16 4x+6y=16. State each answer as an integer or an improper fraction in simplest form.
The x- and y-intercepts of the graph of 4x + 6y = 16 are 4 and 8/3. respectively
How to determine the x- and y-intercepts of the graphFrom the question, we have the following parameters that can be used in our computation:
Equation of graph: 4x + 6y = 16
As a general rule
The x-intercept is when y = 0The y-intercept is when x = 0Using the above as a guide, we have the following:
The x-intercept
Substitute the known values (y = 0) in the above equation, so, we have the following representation
4x + 6(0) = 16
Evaluate the products
4x = 16
So, we have
x = 4
The y-intercept
Substitute the known values (x = 0) in the above equation, so, we have the following representation
4(0) + 6y = 16
Evaluate the products
6y = 16
So, we have
y = 8/3
Hence, the y-intercept is 8/3
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Casandra rents a life jacket for a one-time fee of $5. she then rents a boat for $25 per day. write an expression represents the total cost, in dollars, to rent the life jacket and the boat for d days.
Answer:
it would be something along the lines of. 5+25d =c
The amount of time shoppers wait in line can be described by a continuous random variable, x, that is uniformly distributed from 2 to 10 minutes. What is the probability that a randomly chosen shopper will wait in line for exactly 6 minutes? Round to 2 decimal places.
Suppose the continuous random variable, X, is uniformly distributed between 4 and 14. What is the probability that X is either between 5 and 7, or between 8 and 12? Round to 2 decimal places.
For a continuous random variable like X, the probability of waiting exactly 6 minutes (or any specific time) is always 0, as there are infinitely many possible values within the distribution.
For the second part of your question, since X is uniformly distributed between 4 and 14, the probability of X being between two specific ranges can be calculated by finding the lengths of those ranges divided by the length of the overall distribution.
For the range of 5 to 7, the length is (7 - 5) = 2.
For the range of 8 to 12, the length is (12 - 8) = 4.
The total length of the distribution is (14 - 4) = 10.
So the probability of X being in either range is (2 + 4) / 10 = 6 / 10 = 0.6, or 60% when rounded to 2 decimal places.
For the first question, since the continuous random variable x is uniformly distributed from 2 to 10 minutes, the probability that a randomly chosen shopper will wait in line for exactly 6 minutes is:
P(x = 6) = 1/(10-2) = 1/8 = 0.125
Therefore, the probability that a randomly chosen shopper will wait in line for exactly 6 minutes is 0.125.
For the second question, we need to find the probability that X is either between 5 and 7, or between 8 and 12. Since X is uniformly distributed between 4 and 14, we can find the probabilities of each interval separately and then add them up.
P(5 ≤ X ≤ 7) = (7-5)/(14-4) = 2/10 = 0.2
P(8 ≤ X ≤ 12) = (12-8)/(14-4) = 4/10 = 0.4
Therefore, the probability that X is either between 5 and 7, or between 8 and 12 is:
P(5 ≤ X ≤ 7 or 8 ≤ X ≤ 12) = P(5 ≤ X ≤ 7) + P(8 ≤ X ≤ 12) = 0.2 + 0.4 = 0.6
Therefore, the probability that X is either between 5 and 7, or between 8 and 12 is 0.6.
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Find the measure of the arc.
A
146°
E
ĀC = [ ? ]
Answer:
90°
Step-by-step explanation:
m arc AC = 90°
_____________
The measure of the arc length AC is 90 degrees.
What is an arc length of a circle?The arc length of a circle is the distance between two points on the curve of the circle.
We have,
The arc length and the angles with the center on a circle are equal.
So,
Arc length AC makes a 90-degree angle with the center of the circle.
Now,
Arc AC = 90 degrees.
Thus,
The measure of the arc length AC is 90 degrees.
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If f(x) and its inverse function, f–1(x), are both plotted on the same coordinate plane, what is their point of intersection?
On a coordinate plane, a curve opens down and to the right in quadrants 3 and 4 and then changes direction and curves up and to the left in quadrants 1 and 4. The curve crosses the y-axis at (0, negative 2), changes direction at (1, negative 1, and crosses the x-axis at (2, 0).
The point of intersection of f(x) and \(f^{-1}\)(x) is (3, 3)
What is a function?"It defines a relation between input and output values."
"In function, for each input there is exactly one output."
What is inverse function?"The inverse function of x = f(m) is m =\(f^{-1}\) , where x, m are real values"
For given question,
A function f(x) and its inverse function \(f^{-1}(x)\), are both plotted on the same coordinate plane.
We know that the inverse function \(f^{-1}(x)\) is the mirror image of the function f(x.)
This means, both the functions must be symmetric about the line y = x.
The curve of inverse function \(f^{-1} (x)\) would cross the Y-axis at (0, 2), changes direction at (-1, -1) and crosses the X-axis at (-2, 0)
And both the functions intersect each other only on y = x
The point which satisfy the line y = x is (3, 3)
Therefore, the point of intersection of f(x) and\(f^{-1} (x)\) is (3, 3)
The complete question is : If f(x) and its inverse function, f–1(x), are both plotted on the same coordinate plane, what is their point of intersection?
On a coordinate plane, a curve opens down and to the right in quadrants 3 and 4 and then changes direction and curves up and to the left in quadrants 1 and 4. The curve crosses the y-axis at (0, negative 2), changes direction at (1, negative 1, and crosses the x-axis at (2, 0).
A.(0, –2)
B.(1, –1)
C.(2, 0)
D.(3, 3)
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The numbers you multiply to get a product are called
O addends
O factors
absolute values
O quotients
The admission fee at an amusement park is 1.5 dollars for children and 4 dollars for adults. On a
certain day, 320 people entered the park, and the admission fees collected totaled 780 dollars. How many
childre and how many adults were admitted?
There were 200 children and 120 adults admitted to the amusement park, with a total of 320 people. The admission fees collected totaled $780.
Let's solve this problem using a system of equations.
Let's assume the number of children admitted is "c" and the number of adults admitted is "a".
According to the given information, the total number of people admitted is 320:
c + a = 320 ...(1)
The total admission fees collected is $780:
1.5c + 4a = 780 ...(2)
Now we can solve this system of equations to find the values of "c" and "a".
Multiplying equation (1) by 1.5, we get:
1.5c + 1.5a = 480 ...(3)
Subtracting equation (3) from equation (2), we can eliminate the variable "c":
(1.5c + 4a) - (1.5c + 1.5a) = 780 - 480
2.5a = 300
a = 300 / 2.5
a = 120
Substituting the value of "a" back into equation (1), we can find the value of "c":
c + 120 = 320
c = 320 - 120
c = 200
Therefore, there were 200 children and 120 adults admitted to the amusement park.
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pls pls plssss helppOOOOoo
Which graph represents the function f(x) = |x|?
Answer:
Graph 1
Step-by-step explanation:
over what interval is the function below decreasing? f(x)=2(x+3)^(2)-5
Answer:
\((-\infty, -3)\) (the interval over which \(x < -3\).)
Step-by-step explanation:
The expression \(\text{$y = a\, (x - h)^{2} + k$, $a \ne 0$}\) is the vertex form equation of a parabola with vertex \((h,\, k)\). This parabola opens upwards if \(a > 0\) and downwards otherwise.
Rewrite the expression of \(f(x)\) in this question to fit the vertex form equation above:
\(\begin{aligned}f(x) &= 2\, (x + 3)^{2} - 5 \\ &= 2\, (x - (-3))^{2} - 5\end{aligned}\).
Compare this expression to the vertex form equation. The vertex of this parabola would be \((-3.\. -5)\), and the parabola would open upwards since \(a = 2\)is greater than \(0\).
A parabola that opens upwards is decreasing to the left of the vertex and increasing to the right of the vertex. Thus, the \(f(x)\) in this question would be decreasing for all points with \(x < -3\) (to the left of the vertex.) That would correspond to the interval \((-\infty,\, -3)\).
Solve the equation. (Enter your answers as a comma-separated list. Use n as an integer constant. Enter your response in radians.)
16 cos2 x − 4 = 0
Solve the equation. (Enter your answers as a comma-separated list. Use n as an integer constant. Enter your response in radians.)
cos 6x(2 cos x + 1) = 0
Solve the multiple-angle equation. (Enter your answers as a comma-separated list. Use n as an integer constant. Enter your response in radians.)
sec 3x − 2 = 0
1. the solutions to the equation are x = π/3 and x = 2π/3.
2. the solutions to the equation are: x = (π/2 + nπ)/6, 2π/3, 4π/3 (n is an integer)
3. Dividing both sides by 3:
x = π/9 + (2nπ)/3, 5π/9 + (2nπ)/3 (n is an integer)
1. Solving the equation 16cos^2(x) - 4 = 0:
Let's rewrite the equation in terms of the double-angle formula for cosine:
16(1 - sin^2(x)) - 4 = 0
Simplifying the equation:
16 - 16sin^2(x) - 4 = 0
12 - 16sin^2(x) = 0
16sin^2(x) = 12
sin^2(x) = 12/16
sin^2(x) = 3/4
Taking the square root of both sides:
sin(x) = ±√(3/4)
sin(x) = ±√3/2
Now, we can find the values of x by considering the unit circle and the quadrants where sin(x) is positive or negative.
In the first quadrant (0 < x < π/2):
sin(x) = √3/2
x = π/3
In the second quadrant (π/2 < x < π):
sin(x) = √3/2
x = π - π/3 = 2π/3
Note: Since we're using radians, we don't need to consider the angles in the third and fourth quadrants.
Therefore, the solutions to the equation are x = π/3 and x = 2π/3.
Answer: π/3, 2π/3
2. Solving the equation cos(6x)(2cos(x) + 1) = 0:
We have two possibilities for this equation to be true:
1) cos(6x) = 0
2) 2cos(x) + 1 = 0
For the first possibility, cos(6x) = 0, we know that cosine is equal to zero at odd multiples of π/2.
6x = π/2 + nπ (n is an integer)
Solving for x:
x = (π/2 + nπ)/6 (n is an integer)
For the second possibility, 2cos(x) + 1 = 0, we can solve for cos(x):
2cos(x) + 1 = 0
2cos(x) = -1
cos(x) = -1/2
We know that cosine is equal to -1/2 at 2π/3 and 4π/3.
Therefore, the solutions to the equation are:
x = (π/2 + nπ)/6, 2π/3, 4π/3 (n is an integer)
Answer: (π/2 + nπ)/6, 2π/3, 4π/3
3. Solving the multiple-angle equation sec(3x) - 2 = 0:
To solve this equation, we need to isolate the secant function.
sec(3x) - 2 = 0
sec(3x) = 2
Taking the reciprocal of both sides:
1/cos(3x) = 2
Now, we can solve for cos(3x):
cos(3x) = 1/2
We know that cosine is equal to 1/2 at π/3 and 5π/3.
Now, we can solve for x:
3x = π/3 + 2nπ, 5π/3 + 2nπ (n is an integer)
Dividing both sides by 3:
x = π/9 + (2nπ)/3, 5π/9 + (2nπ)/3 (n is an integer)
Answer: π/9 +(2nπ)/3, 5π/9 + (2nπ)/3 (n is an integer)
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Graph y=-|x|+10 PLS TELL ME THE CORD NUMBERS I WILL GIVE YOU MORE POINTS PLS AWNSER THIS QUICKLY!
Answer: answer is in the ss i put
Source:trust me bro
A) Suppose the true proportion of voters in the county who support a specific candidate is 0.65. Consider the sampling distribution for the proportion of supporters with sample size n = 99.-What is the mean of this distribution?-What is the standard error (i.e. the standard deviation) of this sampling distribution, rounded to three decimal places
The mean of the sampling distribution is 0.65, and the standard error (standard deviation) is approximately 0.048, rounded to three decimal places.
The mean and standard error of the sampling distribution with a sample size n = 99 and a true proportion of 0.65:
1. Determining mean of the proportion distribution:
The mean of the proportion distribution is equal to the true proportion (p) of voters who support the specific candidate.
Mean = p = 0.65
2. Calculating the standard error (standard deviation) of the sampling distribution:
Standard error = √[(p * (1 - p)) / n]
where p is the true proportion (0.65)
n is the sample size (99).
Standard error = √[(0.65 * (1 - 0.65)) / 99]
= √[(0.65 * 0.35) / 99]
= √0.002299
≈ 0.048
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A 1-topping large pizza costs $15, a large 3-topping pizza costs $20. Is this an example of
direct variation? How do you know?
Answer:
N O
Step-by-step explanation:
Because A direct variation is when x and y (or f(x) and x) are directly proportional to each other... For example, if you have a chart that says x and y, and in the x column is 1, 2 and 3, and the y column says 2, 4 and 6... then you know it's proportional because for each x, y increases by 2.
A soccer ball is kicked upward from a hill and then falls to the ground. the height, in feet, of the ball after t sec is modeled by the function h(t) = –16t2 26t 12. what is the initial height of the ball?
Answer:
12 feet
Step-by-step explanation:
-16t^2+ 26t + 12 = h(t) when t = 0 (put in '0' for 't')
12 feet = h
Find the area of the shape shown below.
Answer:
8
Step-by-step explanation:
Area of a trapezoid can be found using the following formula:
A= base 1 + base 2 / 2 times the height
plug it in
A= 6 + 2/2 times 2
A= 8
Using Euler's formula, how manyfaces does a polyhedron with20 vertices and 30 edges have?[? ] facesEuler's Formula: F + V = E + 2
The Euler's Formula is given to be:
\(F+V=E+2\)where F is the number of faces, V is the number of vertices, and E is the number of edges.
From the question, we have the following parameters:
\(\begin{gathered} V=20 \\ E=30 \end{gathered}\)Therefore, the number of faces can be calculated as shown below:
\(\begin{gathered} F+20=30+2 \\ F+20=32 \\ F=32-20 \\ F=12 \end{gathered}\)The polyhedron has 12 faces.
What is the approximate area of rectangle ABCD?
Answer:
I think it's 158
Step-by-step explanation:
Answer:
158
Step-by-step explanation:
The formula for the area of a rectangle is A = bh.
Part of a table showing the amount of money in Kelsie’s bank account is given below. The account pays simple Interest…
The annual interest rate for the bank account is r = 3.7 %
Given data ,
A = P(1 + r/n)^(nt)
where A is the amount after t years, P is the principal (initial amount), r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the time in years.
a)
To find the principal, we can use the information from the first year:
$1739.50 = P(1 + r/n)^(n*5)
$1739.50 = P(1 + r/n)^5
We don't know the values of P, r, or n, but we can simplify the equation by dividing both sides by (1 + r/n)^5:
$1739.50 / (1 + r/n)^5 = P
Now we can use the information from the second year to solve for r:
$1803.40 = P(1 + r/n)^(n*6)
$1803.40 = ($1739.50 / (1 + r/n)^5) * (1 + r/n)^6
Simplifying, we get:
$1803.40 = $1739.50 * (1 + r/n)
Dividing both sides by $1739.50, we get:
1.036928 = 1 + r/n
Subtracting 1 from both sides, we get:
0.036928 = r/n
b)
To find the annual interest rate, we need to solve for r.
We know that r/n = 0.036928, so we can solve for r by multiplying both sides by n:
r = 0.036928n
$1739.50 = P(1 + r/n)^5
Substituting r = 0.036928n, we get:
$1739.50 = P(1 + 0.036928n/n)^5
Simplifying, we get:
$1739.50 = P(1.036928)^5
Dividing both sides by (1.036928)^5, we get:
P = $1500
Now we can substitute P = $1500 and r/n = 0.036928 into the equation r = 0.036928n and solve for r:
r = 0.036928n = 0.036928 * 1 = 0.036928
Hence , the annual interest rate is 3.7%
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Peter bought a big pack of
360
360360 party balloons. The balloons come in
6
66 different colors which are supposed to be distributed evenly in the pack.
Peter wants to test whether the distribution is indeed even, but he doesn't want to go over the entire pack. So, he plans to take a sample and carry out a
χ
2
χ
2
\chi, squared goodness-of-fit test on the resulting data.
Which of these are conditions for carrying out this test?
To use the Chi Squared test on the resulting data we can use the following statements in order:
D. He takes a random sample of balloons.
B. He samples 36 balloons at most.
C. He expects each color to appear at least 5 times.
Define a Chi Square test?A statistical hypothesis test used to examine if a variable is likely to come from a specific distribution is the Chi-square goodness of fit test. To ascertain if sample data is representative of the total population, it is widely utilised.
To let you know if there is a correlation, the Chi-Square test provides a P-value. An assumption is being considered, which we can test later, that a specific condition or statement may be true. Consider this: The data collected and expected match each other quite closely, according to a very tiny Chi-Square test statistic. The data do not match very well, according to a very significant Chi-Square test statistic. The null hypothesis is disproved if the chi-square score is high.
Here in the question,
To use the Chi Squared test on the resulting data we can use the following statements in order:
D. He takes a random sample of balloons.
B. He samples 36 balloons at most.
C. He expects each color to appear at least 5 times.
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The complete question is:
Peter bought a big pack of
360
360360 party balloons. The balloons come in
6
66 different colors which are supposed to be distributed evenly in the pack.
Peter wants to test whether the distribution is indeed even, but he doesn't want to go over the entire pack. So, he plans to take a sample and carry out a
χ
2
χ
2
\chi, squared goodness-of-fit test on the resulting data.
Which of these are conditions for carrying out this test? Choose 3 options.
A. He observes each color at least 5 times.
B. He samples 36 balloons at most.
C. He expects each color to appear at least 5 times.
D. He takes a random sample of balloons.
Answer: the answer is A B D
Step-by-step explanation:
Put the following items in order from most expensive to least expensive. Item Base Price Change Direction Blender $29. 73 9% Markdown Hat $14. 16 77% Markup Ink $20. 17 27% Markup Heater $28. 46 22% Markdown a. Blender, heater, ink, hat b. Blender, ink, hat, heater c. Ink, hat, blender, heater d. Ink, heater, blender, hat.
Putting the considered items in order from most expensive to least expensive item gives the order as shown by: Option b. Blender, ink, hat, heater
What is Markup and Markdown?Markup is the amount that will be increased in the original price of the considered thing.
Markdown is the amount that will be decreased from the original price of the considered thing.
Think of "up" and "down" as increasing and decreasing prices respectively.
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
\(\dfrac{a}{100} \times b\)
For this case, the base prices and the chage in price is given as:
Item Base Price Change Direction
Blender $29.73 9% Markdown
Hat $14.16 77% Markup
Ink $20.17 27% Markup
Heater $28.46 22% Markdown
Calculating the resultant price:
Case 1: Blender:Resultant price = 29.73 - 9% of 29.73
\(P= 29.73 - \dfrac{29.73}{100}\times 9\\\\P = 27.0543 \: \: \text{dollars}\)
Case 2: Hat:Resultant price = 14.16 + 77% of 14.16
\(P= 14.16+\dfrac{14.16}{100}\times 77\\\\P = 25.0632\: \: \text{dollars}\)
Case 3: Ink:Resultant price = 20.17 + 27% of 20.17
\(P= 20.17+\dfrac{20.17}{100}\times 27\\\\P = 25.6159\: \: \text{dollars}\)
Case 4: Heater:Resultant price = 28.46 - 22% of 28.46
\(P= 28.46- \dfrac{28.46}{100}\times 22\\\\P = 25.0448 \: \: \text{dollars}\)
Thus, putting the considered items in order from most expensive to least expensive item gives the order as shown by: Option b. Blender, ink, hat, heater
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consider the degree-4 lfsr given by p(x) = x^4 +x^2+ 1. assume that the lfsr is initialized with the string (s3, s2, s1, s0) = 0110. find the period with the given seed and polynomial p(x)?
The period of the given degree-4 LFSR with the polynomial p(x) = x^4 + x^2 + 1 and the seed (s3, s2, s1, s0) = 0110 is 15.
A Linear Feedback Shift Register (LFSR) is a deterministic algorithm that generates a pseudo-random sequence of numbers based on a polynomial function and an initial seed. The period of an LFSR is the length of the generated sequence before it repeats itself. In this case, the polynomial is p(x) = x^4 + x^2 + 1, and the seed is (s3, s2, s1, s0) = 0110. To find the period, we iterate through the LFSR sequence and count the steps until the seed is repeated. In this specific case, after iterating 15 times, the seed (0110) is repeated.
Thus, given the degree-4 LFSR with polynomial p(x) = x^4 + x^2 + 1 and seed (s3, s2, s1, s0) = 0110, the period of the generated sequence is 15.
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Help me with this please the ones that I circled in the picture also don't forget to explain so I can understand it please. I will try to help you with other questions if you help me by explaining not only answering.
Answer: "<" ,"<', ">"
FOR THE FIRST QUESTION IT WOULD BE "<" BECAUSE THE SQAURE ROOT OF 7 IS 2.646 AND IF U ADD THREE TO THAT IT IS 5.646 WHICH IS LESS THAN 6.
FOR THE SECOND QUESTIONS THE SQUARE ROOT OF 10 IS 3.162 SO IF YOU DO 4 - 3.162 IT WOULD BE 0.838 WHICH IS LESS THAN 1.414 WHICH IS THE SQAURE ROOT OF 2 SO THE ANSWER WOULD BE "<".
FOR THE LAST QUESTIONS THE SQAURE ROOT OF 20 IS 4.472 IF YOU ADD THAT TO 8 IT WOULD BE 12.472 WHICH IS LESS THAN 13 SO THE ANSWER WOULD BE ">".
pls help sjajgdjsiaysgdhwiudhh
Answer:
scalene acute
Step-by-step explanation:
scalene = 2 sides are the same and one is different
acute = all three angles are smaller than 90
Translate the following phrase to an expression: the difference between twenty and twice a number.20 - n20 - 2 n20 + 2 n2 n - 20
Solution
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Represent the first statement
Let the number be n
twice a number is given as:
\(2n\)difference between twenty and twice the number is given as:
\(20-2n\)Hence, the answer is 20-2n