Answer:
\(m=1\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)Step-by-step explanation:
Step 1: Define
Point (-9, 3)
Point (-5, 7)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute [SF]: \(m=\frac{7-3}{-5+9}\)Subtract/Add: \(m=\frac{4}{4}\)Divide: \(m=1\)Earth has a diameter of 7,926 miles. What is its diameter in kilometers? (1 mile = 1.6 kilometers)
A. 49,553 km
B. 120,586 km
C. 1,392,650 km
D. 12,682 km
The diameter of Earth in kilometers is approximately 12,682 km, making option D the correct answer.
To convert the diameter of Earth from miles to kilometers, we can multiply the given diameter in miles by the conversion factor of 1.6 kilometers per mile.
Given that Earth's diameter is 7,926 miles, we can calculate its diameter in kilometers as follows:
Diameter in kilometers = Diameter in miles × Conversion factor
Diameter in kilometers = 7,926 miles × 1.6 kilometers/mile
Diameter in kilometers = 12,681.6 kilometers
Rounding this value to the nearest whole number, we get 12,682 kilometers.
Therefore, the correct answer is option D: 12,682 km.
Option A: 49,553 km is not the correct answer. It is not consistent with the given diameter of Earth.
Option B: 120,586 km is also not the correct answer. It is not consistent with the given diameter of Earth.
Option C: 1,392,650 km is significantly larger than the actual diameter of Earth and is not a plausible value.
In conclusion, the diameter of Earth in kilometers is approximately 12,682 km, making option D the correct answer.
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Help... A store owner collected data about the number of customers who came to the store in a day, y, for several days compared to the high temperature for that day, x. He found that the correlation coefficient was −0.76.
Answer:
Decreased
Strong negative
Step-by-step explanation:
The correlation Coefficient is used to show the strength and type of relationship which exists between the dependent and independent variable. The correlation Coefficient value ranges from - 1, to 1. With values closer to either - 1 or 1 depicting a strong relationship while those closer to 0 represents weak relationship. And correlation Coefficient of 0 indicates that no relationship exiata at all. Depending in the sign, that is positive or negative, positive sign means positive relationship while a negative sign represents a negative association. Positive association is interpreted as, for every increase in A, Variable B also increase and vice versa. For negative association, When A increases, B decreases and vice versa
Determining the location of a terminal point given the signs of Determine the quadrant in which the terminal side of 0 lies. (a)sine < 0 and cot 0 < 0 (Choose one) (b) cos > 0 and esce < 0 (Choose one) quadrant I quadrant II quadrant III quadrant IV ?
Based on the given information, the terminal side of angle 0 lies in quadrant III.
To determine the quadrant in which the terminal side of angle 0 lies based on the given information, we can analyze the signs of the trigonometric functions:
(a) Since sine < 0 and cotangent < 0, we can determine the quadrant as follows:
Sine < 0 implies that the y-coordinate (vertical component) of the point on the unit circle corresponding to angle 0 is negative.
Cotangent < 0 implies that the x-coordinate (horizontal component) of the point on the unit circle corresponding to angle 0 is negative.
In quadrant III, both the x and y-coordinates are negative. Therefore, quadrant III is the correct answer in this case.
(b) The information provided in this option is incorrect. "esce" is not a recognized trigonometric function, and "cos > 0" does not provide enough information to determine the quadrant.
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HELP WILL GIVE BRAINLIEST!!!!!
Answer:
D
Step-by-step explanation:
For sure, it cannot be easily explained. Plus you need this answer now. CORRECT AND CHECKED!
Can someone help me plz
Answer:
what are you looking for in this picture.tell me and ill answer in tbe coments
Step-by-step explanation:
A swimmer is training for a upcoming meet he swims 10 laps the first day each day he increases the number of laps he swims by 5 which best describes the function
10+5=15
He swam 15 laps the second day
Pls please help me with this no links please
Answer:
m∠C to the nearest degree is 10 degrees.
Step-by-step explanation:
tan(Θ)=opposite/adjacent
The side opposite to angle C is AB , and the side adjacent to angle C is AC.
tan(Θ)=AB/AC
tan(Θ)=2/11
Using a calculator, you'll find that m∠C=10.3≈10 degrees.
Find the probability P(0.21 distribution.
The probability of the value of (0.21) distribution using the normal distribution table is: 0.3166
What is Probability?
Calculating the likelihood of experiments happening is one of the branches of mathematics known as probability. We can determine everything from the likelihood of receiving heads or tails when tossing a coin to the likelihood of making a research blunder, for instance, using a probability. It is crucial to grasp this branch's most fundamental concepts in order to fully comprehend it, including the formula for computing probabilities in equiprobable sample spaces, the likelihood of two events joining together, the probability of the complementary event, etc.
In the question, we have
Probability of (0.21 < z <1.28)
= P(z < 1.28) - P(z < 0.21)
Probability of value for z
= 1.28 using z table is 0.8997
=> P(z < 1.28)
= 0.8997
probability of value for z = 0.21
Now, find the value of the probability using the normal distribution table:
using the z table of 0.21; we get:
The value of z is: 0.5832
=> P(z < 0.21) = 0.5832;
The value of Probability of (0.21 < z <1.28)
= Probability of (z < 1.28) - Probability of (z < 0.21)
= 0.8997 - 0.5832
= 0.3165
~ 0.3166
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You are standing on top of a 50 foot cliff over looking a pond. The angle of depression from you to the pond is 47 degrees. How far is the horizontal distance from the pond. Round your answer to the nearest tenth
Answer: 97
Step-by-step explanation: hope this is right.
\(y=10(0.91) x\)
The simplified form of the linear equation y =10(0.91)x is y = 9.1x.
To solve the equation y = 10(0.91)(x), we can simplify the expression on the right side of the equation.
First, we can multiply 10 and 0.91:
y = 9.1x
Now, we have a simple linear equation in the form y = mx, where m represents the slope of the line. In this case, the slope is 9.1.
This equation represents a line with a slope of 9.1 and a y-intercept of 0. The value of y depends on the value of x. For each increase of 1 in x, y will increase by 9.1.
To find specific solutions, you can substitute different values for x and solve for y. For example:
If x = 1, then y = 9.1(1) = 9.1
If x = 2, then y = 9.1(2) = 18.2
The equation y = 9.1x represents a line that increases at a rate of 9.1 units in the y-direction for every 1 unit increase in the x-direction. The line passes through the origin (0,0) and has a positive slope, indicating a positive relationship between x and y.
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The complete question:
Solve: y = 10(0.91)x
Please help me with this!!!
Answer:
Its the first one.
Step-by-step explanation:
Just subtitue in values, the only one that works is the first one.
15 points!
Create your OWN word problem
create word problem for 7 x 4
create word problem for 45 ÷ 9
create word problem for 6 x 8
Answer:
1. Evan has 7 boxes. There are 4 onions In Each Box. How Many Onions are there in total?
2. There are 45 sweets Being Packed in 9 boxes.
How many sweets are there in each Box?
3. There are 6 students. Each student gets 8 problems for Homework.
How many Problems Do all of the students get?
I hope this helped!
Answer:
Step-by-step explanation:
Jackie had brought cookies to share with her friends. there were 7 people (including herself) that she wanted to give each flavor cookie to. if there are four flavors of cookie, how many cookies did she bring?
paxton made party bags for his family and friends attending his birthday party. he made 45 small bags to put in containers for his friends to grab. he could only fit 9 bags in each container. how many containers will paxton need?
Vix had 6 markers in their pencil bag. they wanted to see if their markers will die out at a certain amount of lines. Vix drew 8 lines with each color to start. how many lines did vix draw total?
Peter wants to save $3100 in nine months by depositing $1010 at the end of every three months into a savings account. What effective rate of interest does his saving account have to earn?
2: How long will it take to build up a fund of $17000 by saving $360 at the end of every month at 2.7% compounded monthly?
Answer in MONTHS round properly.
1.The amount of Interest Earned will be; $157.17.
2. It will take 7.8 years to to build up a fund of $17000 by saving $360 at the end of every month at 2.7% compounded monthly
Simple Interest is the amount of return that someone receives on the amount invested in a bank or in a business. The annual interest rate can be defined as the invested amount.
1. From the interest rate on the principal amount, we can find the annual interest earning.
Principal = $3,100
Therefore, Rate of simple interest = 2.7% per year
Now, to define the total time period.
Time period = 18 months
Time period = 18 / 12
Time period = 1.5 years
Now finding the Total interest earning.
Interest Earned = $3,100 x 2.7% x 1.5
Interest Earned = $157.17
2. Now we have \(A = P(1 + r/n)^{n\times t}\)
Where A is the amount, P is the principal,r is the rate of interest,
Substituting the given 360 = 17000 (1 + 0.027/365)^(365×t)10000/3000
= (1.000073972)^(365×t)10/3
= (1.000073972)^(365×t)in the formula we get,
\(360 = 17000 (1 + 0.027/365)^{365t}10000/3000\\ = (1.000073972)^{365t}10/3\\ = (1.000073972)^{365t}\)
Taking the natural log;
ln(10/3) = ln(10/3)/365 × ln(1.000073972)t
= 7.8 years (approx)
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question allistair throws a biased six-sided dice. the probability of getting a 6 with this dice is 0.4. the other numbers are equally probable. if he throws the dice 3 times, what is the probability that he gets 5, 3, and 2 in this order?
The probability that he gets 5, 3, and 2 in this order is 0.92, 0.52, and 0.32 respectively.
The possibility of rolling a 6 with these dice is 0.4, according to the question. The possibility of rolling a 1 through 5 on the dice is also the probability of not obtaining a 6.
a) Chance of receiving 5:
P(6) + Q(6) = 5
Q(6) = 5 - P(6)
Q(6) = 5 - 0.4
Q(6) = 4.6
The probability of obtaining 5 to 5 is 4.6 overall.
The probability of receiving one is,
P(1) + P(2) + P(3) + P(4) + P(5) = 4.6
The first five numbers have an equally likely probability.
P(1) = 4.6 ÷ 5
P(1) = 0.92
b) Probability of getting 3:
P(6) + Q(6) = 3
Q(6) = 3 - P(6)
Q(6) = 3 - 0.4
Q(6) = 2.6
The probability of obtaining 3 to 5 is 2.6 overall.
The probability of receiving one is,
P(1) + P(2) + P(3) + P(4) + P(5) = 2.6
The first five numbers have an equally likely probability.
P(1) = 2.6 ÷ 5
P(1) = 0.52
c) Probability of getting 2:
P(6) + Q(6) = 2
Q(6) = 2 - P(6)
Q(6) = 2 - 0.4
Q(6) = 1.6
The probability of obtaining 2 to 5 is 1.6 overall.
The probability of receiving one is,
P(1) + P(2) + P(3) + P(4) + P(5) = 1.6
The first five numbers have an equally likely probability.
P(1) = 1.6 ÷ 5
P(1) = 0.32
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How many ways can a coach select a starting team of one center, two forwards, and two guards if the basketball team consists of three centers, five forwards, and three guards
There are 90 ways that a coach can select a starting team of one center, two forwards, and two guards if the basketball team consists of three centers, five forwards, and three guards.
To determine the number of ways to select a starting team, we first need to choose one center out of three centers, which can be done in 3 ways.
Then we need to choose two forwards out of five forwards, which can be done in 5C2 ways, where 5C2 represents the number of combinations of 2 items that can be chosen from a set of 5 items.
Finally, we need to choose two guards out of three guards, which can be done in 3C2 ways.
Using the multiplication principle, the total number of ways to select a starting team is:
3 x 5C2 x 3C2 = 3 x 10 x 3 = 90
Therefore, there are 90 ways.
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What volume of ice cream could fit inside
this cone?
Answer:
about 89.91 cubic cm
Step-by-step explanation:
\( \frac{1}{3} \pi( {3}^{2} ) \sqrt{ {10}^{2} - {3}^{2} } \)
\( \frac{1}{3} \pi(9) \sqrt{100 - 9} \)
\(3\pi \sqrt{91} = 89.91\)
In a farm there are ducks and rabbits. In total the sum is 24 animals. If we add all the legs we get 88. How
many rabbits are there in the farm?
please show your working
THANKS for your helping ✨✨
Answer:
There are 20 rabbits.
Step-by-step explanation:
Let D be the number of ducks on the farm and R be the number of rabbits. We get the equation:
D + R = 24
Ducks have 2 legs and rabbits have 4. We know there are 88 legs in total, so we get the equation:
2D + 4R = 88
Rewriting the first equation, we get:
D = 24 - R
Substituting this into the second equation, we get:
2(24 - R) + 4R = 88
Solve for R:
48 - 2R + 4R = 88
2R = 40
R = 20
So there are 20 rabbits and 4 ducks on the farm, with a total of 88 legs.
The Mathletes Club is printing t-shirts for its 15 members. The printing company charges a certain amount for each shirt plus a setup fee of $20.
If the t-shirt order costs a total of $162.50, how much does the company charge for each shirt?
Answer:
it is $10.83
Step-by-step explanation:
leah has 28 more marbles than dan. 1 3 of the number of marbles leah has is equal to 4 5 of the number of marbles that dan has. find the number of marbles that leah has.
The number of marbles that Leah has is: 48 marbles
Information about the problem:
Leah = xDan = x - 281/3 x = 4/5 (x-28)To solve this problem we must establish the equation, isolate the variable following the rules of clearance and solve the operations:
What is adding goes to the other side of the equality by subtracting.What is multiplying goes to the other side of the equality by dividing.Solving the equation we have:
1/3 x = 4/5 (x-28)
Simplifying the equation we have:
5(1x) = 3*[4*(x-28)]
5x = 12(x-28)
5x = 12x-336
336 = 12x-5x
7x = 336
x = 336/7
x = 48
Leah = x
Leah = 48
Dan = x - 28
Dan = 48-28
Dan = 20
What is an equation?An equation is the equality between two algebraic expressions, which have at least one unknown or variable.
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You buy a loaf of bread for 1. 49 and a bottle of honey for 1. 99 how much will you spend in all?
Answer:
You are going to spend $3.48 in total.
Step-by-step explanation:
You need to add the two numbers together.
1.49+1.99=$3.48
You are going to spend $3.48 in total. (I'm assuming we aren't supposed to include tax)
Help please with this omg
Answer:
A ∪ B = {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}
A ∩ B = {5}
Step-by-step explanation:
A ∪ B means all the elements in sets A and B without repetition
A ∩ B means the common elements in the two sets A and B
∵ Set A = {5, 6, 7, 8, 9, 10}
∵ Set B = {2, 3, 4, 5, 11, 12, 13}
→ To Find A ∪ B, write all the elements in the two sets but don't
repeat the common element
∵ 5 is a common element in the two sets
∴ Don't repeat it in A ∪ B
∴ A ∪ B = {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}
→ To find A ∩ B, write the common elements in the two sets
∵ 5 is the only common element in the two sets
∴ A ∩ B = {5}
Would Diagonal FH be considered perpendicular to side FE?
Diagonal FH bisect angles EFG and EHG and the angle FEH is congruent to angle FGH.
Why is the triangle congruent?
Congruent triangles are two triangles that are the same size and shape. Two congruent triangles remain congruent even if we flip, turn, or rotate one of them. Two triangles must have the same angles and, as a result, must be congruent if their sides are the same.We need to check all the statements that are applicable for the diagram.
1) EFGH is a rectangle.
The above statements is not true in general. EFGH is a quadrilateral with opposites sides are equal, it may be rectangle in some cases but it is not always be a rectangle.
2). EFGH has 4 congruent sides.
The above statement is also false. EFGH has two opposite sides are congruent.
3). Diagonal FH bisect angles EFG and EHG.
The above statement is true. Triangle EFH and FGH both are isosceles triangles and hence they both have equal angles for the equal sides. Thus, it is true in all cases.
4). Diagonal FH is perpendicular to side Fe.
The above case is not true in general.
5). Angle FEH is congruent to angle FGH.
Yes, the above statement is the correct one, because both the triangles are congruent to each other.
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The complete question is -
Triangle FGH is the image of isosceles triangle FEH after a reflection across line HF. Select all the statements that are a result of corresponding parts of congruent triangles being congruent
Determine if the following functions are increasing or decreasing, and compare their rates of change. A. Both functions are increasing and have different rates of change. B. Both functions are decreasing and have different rates of change. C. Both functions are increasing and have the same rate of change. D. Both functions are decreasing and have the same rate of change.
Both functions are decreasing and have the same rate of change.
========================================================
Explanation:
The slope intercept form is y = mx+b
m = slopeb = y interceptThe first equation y = -2x-3 has slope m = -2, which is the rate of change.
--------------------
Let's find the slope of the line through (0,0) and (3,-6)
\((x_1,y_1) = (0,0) \text{ and } (x_2,y_2) = (3,-6)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{-6 - 0}{3 - 0}\\\\m = \frac{-6}{3}\\\\m = -2\\\\\)
Or you can use the shortcut that m = y/x = -6/3 = -2. This shortcut only works when the line goes through the origin. We divide the nonzero x,y values.
The slope of the second line is the same as the first line's slope.
Both lines have the same rate of change.
Both lines are decreasing due to the negative slope value.
Visually, each line goes downhill as we move from left to right.
--------------------
Side note: Both lines have the same slope (-2), but different y intercepts. This makes the lines parallel.
In which choice is y a nonlinear function of x?
A 5 4
x y = +
B y x = + 10
C 3 2 4
x y x + = −
D 2 5 3 y x
The choice where y is a nonlinear function of x is option C: x y x + = −.
In this equation, the relationship between x and y is not a simple direct proportion or linear function. The presence of the exponent on x indicates a nonlinear relationship.
As x increases or decreases, the effect on y is not constant or proportional. Instead, it involves a more complex operation, in this case, the squaring of x and then subtracting it. This results in a curved relationship between x and y, which is characteristic of a nonlinear function.
Nonlinear functions can have various shapes and patterns, including curves, exponential growth or decay, or periodic behavior.
These functions do not exhibit a constant rate of change and cannot be represented by a straight line on a graph.
In contrast, linear functions have a constant rate of change and can be represented by a straight line.
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Consider the following expression. +9x+5y+26y Select all of the true statements below
Answer:
9x + 31y
Step-by-step explanation:
9x + 31y is the most simplified version of your expression! I believe your question is missing some information but I would love to help in any way I can. Here is how I simplified +9x + 5y + 26y into its simplest form.
Step 1: Add like terms (Add the numbers together with the same terms)
9x + ( 5y + 26y)
Step 2: After adding like terms, you'll be left with 9x + 31y
9x + 31y
Answer:
9x + 31y
Step-by-step explanation:
9x + 31y is the most simplified version of your expression! I believe your question is missing some information but I would love to help in any way I can. Here is how I simplified +9x + 5y + 26y into its simplest form.
Step 1: Add like terms (Add the numbers together with the same terms)
9x + ( 5y + 26y)
Step 2: After adding like terms, you'll be left with 9x + 31y
9x + 31y
A triangular prism is 12 meters long and has a triangular face with a base of 8 meters and a height of 9 meters. What is the volume of the triangular prism?
The volume of the triangular prism is 216 cubic meters.
To find the volume of a triangular prism, we need to multiply the area of the triangular base by the length of the prism.
Calculate the area of the triangular base.
The base of the triangular face is given as 8 meters, and the height is 9 meters. We can use the formula for the area of a triangle: area = (1/2) * base * height.
Plugging in the values, we get:
Area = (1/2) * 8 meters * 9 meters = 36 square meters.
Multiply the area of the base by the length of the prism.
The length of the prism is given as 12 meters.
Volume = area of base * length of prism = 36 square meters * 12 meters = 432 cubic meters.
Adjust for the shape of the prism.
Since the prism is a triangular prism, we need to divide the volume by 2.
Adjusted Volume = (1/2) * 432 cubic meters = 216 cubic meters.
Therefore, the volume of the triangular prism is 216 cubic meters.
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What are the values of the function when x=-2 and when x=4
Answer:
g(-2) = 0
g(4) = -4
Step-by-step explanation:
The outputs of each inequality are the numbers directly next to the parentheses. If an "x" value lies within a particular inequality, the values of the function are the corresponding output.
Remember, the "greater than or equal to" sign (≤) indicates that the "x" value can be equal to the number on the left. The "greater than" symbol (<) indicates that the number to the right cannot satisfy the inequality.
x = -2 lies within the inequality -2 ≤ x < 4. All "x" values that fall within this range are g(x) = 0. Therefore, g(-2) = 0.
x = 4 lies within the inequality 4 ≤ x < 10. All "x" values that fall within this range are g(x) = -4. Therefore, g(4) = -4.
nineteen less than a number is 25 write the equation
Answer:
6
Step-by-step e
.A poll of 1031 U.S. adults split the sample into four age groups: ages 18-29, 30-49, 50-64, and 65+. In the youngest age group, 60% said that they thought the U.S. was ready for a woman president, as opposed to 37% who said "no, the country was not ready" (3% were undecided). The sample included 258 18- to 29-year olds.
The 90% confidence interval is (___%,___%)
(Round to one decimal place as needed.)
The 90% confidence interval for the proportion of young adults who think the U.S. is ready for a woman president is (55.5%, 64.5%).
Given that 60% of the 258 young adults said the U.S. is ready for a woman president.
we have p = 0.60.
Since we want a 90% confidence interval, the z-score is 1.645 (corresponding to a 90% confidence level).
CI = 0.60 ± 1.645 × √(0.60 (1 - 0.60)) / 258)
Calculating the expression inside the square root:
√(0.60(1 - 0.60)) / 258) ≈ 0.025
Now, substituting the values:
CI = 0.60 ± 1.645× 0.025
Calculating the values inside the interval:
CI = (0.60 - 1.645 × 0.025, 0.60 + 1.645× 0.025)
= (0.555, 0.645)
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State GCF of following monomials 18m5n4 and 45m3n6
Answer:
9m³n⁴
Step-by-step explanation:
18m^5n^4 = 2×3² m^5n^4
45m^3n^6 = 3²×5 m^3n^6
GFC = 3² m³n⁴ = 9m³n⁴