Answer:
n=3
Step-by-step explanation:
What is the GCF for 282, 540, and 28
Are angles 1 and angle 4 vertical? Are angles 3 and angle 5 vertical?
Answer:
All of them are not vertical angles.
Step-by-step explanation:
Because they are not directly vertical from each other.
a house painter uses 0.7 gallons of paint for a wall that is 140 square feet. How much paint in gallons does she need to be able to cover 1900 square feet
Answer:
9.8 gallons
Step-by-step explanation:
1900÷140=13.5714285714
round up to 14
0.7x14=9.8
Just question 10 please
a. The minimum point is located at x = 2 and y = -4. The coordinates is (2,-4).
b. The equation of the line of symmetry of the graph is x = 2.
c. The solutions are approximately x = 1.3 and x = 2.7.
d. 2x²-4x+3=0 has no solutions because when 2x²-4x is graphed, the graph never intersects the x-axis at the y-value of 3. Therefore, the equation 2x²-4x+3=0 has no solutions.
What is equation of the line of symmetry?The equation of the line of symmetry is the equation of a line that passes through the center of a geometric figure such that it divides the figure into two equal parts. The equation of the line of symmetry is usually expressed in the form of y = mx + b, where m is the slope of the line and b is the y-intercept. The slope of the line of symmetry is always equal to the opposite reciprocal of the slope of the original line, and the y-intercept is equal to the midpoint of the two end points of the original line. For example, if the equation for a line is y = 4x + 2 then the equation for the line of symmetry that would pass through the midpoint of the line would be y = -1/4x + 3, where 3 is the midpoint of the two end points of the original line. The line of symmetry is an important concept in geometry, as it divides a figure into two equal halves, allowing us to easily identify the center of the figure. It is also useful in calculus, as the line of symmetry helps us to calculate the area under the graph of a function. It is also used in other branches of mathematics, such as trigonometry and statistics.To learn more about line of symmetry refer to:
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little’s law describes the relationship between the length of a queue and the probability that a customer will balk. group startstrue or false
The given statement "Little’s law describes the relationship between the length of a queue and the probability that a customer will balk" is false.
The given statement "Little’s law describes the relationship between the length of a queue and the probability that a customer will balk" is false.
What is Little's Law?
Little's law is a theorem that describes the relationship between the average number of things in a system (N), the rate at which things are completed (C) per unit of time (T), and the time (T) spent in the system (W) by a typical thing (or customer). The law is expressed as N = C × W.What is meant by customer balking?Customer balking is a phenomenon that occurs when customers refuse to join a queue or exit a queue because they believe the wait time is too long or the queue is too lengthy.
What is the relationship between Little's Law and customer balking?
Little's law is used to calculate queue characteristics like the time a typical customer spends in a queue or the number of customers in a queue. It, however, does not address customer balking. Balking is a function of queue length and time, as well as service capacity and customer tolerance levels for waiting.
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what are the solutions of x^2-2x+37=0
Answer: x=1±6i
Step-by-step explanation:
\(\displaystyle\\x^2-2x+37=0\\\\D=(-2)^2-4(1)(37)\\\\D=4-148\\\\D=-144\\\\\sqrt{D}=\sqrt{-144} \\\\\sqrt{D}=\sqrt{12^2(-1)} \\\\\sqrt{D}=12\sqrt{-1} \\\\\sqrt{D}=12i\\\\x=\frac{-(-2)б12i}{2} \\\\x=\frac{2б12i}{2}\\\\x=\frac{2(1б6i)}{2} \\\\x=1б6i\)
Answer:
\(x=1\pm6i\)
Step-by-step explanation:
\(x^2-2x+37=0\\x^2-2x+1+36-36=0-36\\(x-1)^2=-36\\(x-1)^2=i^2\cdot6^2\\x-1=\pm6i\\x-1+1=\pm6i+1\\x=1\pm6i\)
Natasha invests $600 in a different bank, she gets $60 after two years workout the interest rate that the bank pay
Answer:
hope this helps....... anyways try this
you are treating a 50-year-old man that was involved in a fire. he suffered 25% 2nd-3rd degree burns to the anterior chest, neck and face. he has singed nasal hairs, and you identify stridor on your primary survey. pulse oximetry is 88% on a 100% non-rebreather mask. a burn center is 45 miles away. the next most appropriate step prior to transfer is:
A 100% non-rebreather mask has a pulse oximetry reading of 88%. There is a burn centre 45 miles distant. the best course of action to do after transferring a serious burn side.
A 50-year-old man who was injured in a fire is being treated by you. He sustained 25% 2nd–3rd degree burns to his face, neck, and anterior chest. He has burned nasal hairs, and your initial survey reveals stridor.
Any damage that exceeds 10% in size should be treated in a similar manner, although significant burns are classified as those that encompass 25% or more of the total body surface area. Rapid evaluation is essential. Any blaze can be managed using the general strategy for a significant burn. The most crucial things are to take a thorough history.
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The mass of a sesame seed is 0.0046 g. The mass of a pollen grain is 0.000000000513 g. About how
many times greater is the mass of a sesame seed than the mass of a pollen grain?
a) 1x 107
b) 1 x 106
c) 4 x 10-3
d) 5 x 10-10
Pls help!!! I will do anything!!! I am being timed
A pollen grain's mass is 1 x 106 times smaller than that of a sesame seed. A pollen grain weighs 0.000000000513 g, whereas a sesame seed weighs 0.0046 g. When you calculate the ratio between the two masses, you can tell how much of a difference there is in mass.
A pollen grain weighs a tiny fraction of the mass of a sesame seed. A pollen grain weighs 0.000000000513 g, whereas a sesame seed weighs 0.0046 g. As a result, a sesame seed has a mass that is 1 x 106 times higher than a pollen grain.
When you calculate the ratio between the two masses, you can see how much the two masses differ.
It is amazing how different in size a sesame seed and a pollen grain are. A pollen grain is so minute that it cannot be seen, unlike a sesame seed, which can be seen with the unaided eye. A sesame seed is astonishingly larger than a pollen grain—over a million times larger—which illustrates the size contrasts between the two.
A sesame seed's bulk is evidence of how nutritious it is. Sesame seeds are a nutrient-rich food that are rich in proteins, minerals, and good fats. A pollen grain, on the other hand, is primarily made up of carbohydrates and has no nutritional value .A huge disparity in mass exists between pollen grains and sesame seeds. A sesame seed weighs 1 x 106 times more than a pollen grain, and this enormous disparity in mass illustrates the huge difference between the two.
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a video store charges
$10 for a rental card
plus $2.50 per video
game rented.
a. write an equation to
model the situation
b. What will be the total
cost if you decide to rent
20 video games?
c. How many video
games will you be able
to rent if you had $260?
Answer:
a. 10 + 2.50x
b. 60
c. 100
Step-by-step explanation:
a. 10 + 2.50x
b. 10 + 2.50(20)
= 10 + 50
= 60
c. 260 = 10 + 2.50x
250 = 2.50x
250/2.50 = x
x = 100
Let F(x,y)=x2y3i+x3y2j 1. Show that is conservative. If so, find the function f such that F=∇f 2. Use this fact to evaluate ∫CF⋅dr where C is defined by r(t)=, 0≤t≤1
The value of the provided integral is\(\( \frac{1}{3} \).\)
To determine if the vector field \(\( F(x, y) = x^2y^3\mathbf{i} + x^3y^2\mathbf{j} \)\) is conservative, we need to check if it satisfies the condition of being the gradient of a scalar function. In other words, we need to verify if there exists a scalar function f(x, y) such that \(\( \nabla f = F \).\)
1. To check if F is conservative, we need to calculate its partial derivatives with respect to x and y :
\(\[ \frac{\partial F}{\partial x} = 2xy^3 \quad \text{and} \quad \frac{\partial F}{\partial y} = 3x^2y^2 \]\)
Since these partial derivatives are equal, the vector field F is conservative.
2. Now, to find the function f , we integrate F with respect to x to obtain f(x, y) :\(\[ f(x, y) = \int F \cdot dx = \int x^2y^3 \, dx = \frac{1}{3}x^3y^3 + g(y) \]\)
Here, g(y) is an arbitrary function of y . To find g(y) , we differentiate f with respect to y and compare it with the y -component of F :
\(\[ \frac{\partial f}{\partial y} = x^3y^2 + g'(y) = 3x^2y^2 \]\)
Equating the corresponding terms, we get g'(y) = 0 . This implies that g(y) is a constant.
Thus, we can write the function f as:
\(\[ f(x, y) = \frac{1}{3}x^3y^3 + C \]\)
Where C is the constant of integration.
Now, we can evaluate the line integral of \(\( F \cdot dr \)\) over the curve C , where C is defined by \(\( r(t) = \langle t, t^2 \rangle \) for \( 0 \leq t \leq 1 \).\)
We can use the fact that F is conservative to evaluate this line integral using the scalar function f :
\(\[ \int_C F \cdot dr = f(r(1)) - f(r(0)) \]\)
Substituting the values of r(1) and r(0) :
\(\[ r(1) = \langle 1, 1 \rangle \quad \text{and} \quad r(0) = \langle 0, 0 \rangle \]\)
We can now calculate the line integral:
\(\[ \int_C F \cdot dr = f(1, 1) - f(0, 0) = \left(\frac{1}{3}(1)^3(1)^3 + C\right) - \left(\frac{1}{3}(0)^3(0)^3 + C\right) = \frac{1}{3} + C - C = \frac{1}{3} \]\)
Therefore, the value of the line integral of \(\( F \cdot dr \) over the curve \( C \) is \( \frac{1}{3} \).\)
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Rob made a scale drawing of a summer camp. He used the scale 17 centimeters : 6 meters.
The actual length of the sand volleyball court is 18 meters. How long is the volleyball court in
the drawing?
Answer:
the volleyball court would be 51 centimeters
Answer:
51 centimeters.
Step-by-step explanation:
My bad if I got it wrong but I'm pretty sure thats the answer
13 POINTS!!!
In ΔABC, c = 4.2 inches, ∠C=24° and ∠A=115°. Find the area of ΔABC, to the nearest 10th of an square inch.
Answer:
12.9 \(in^{2}\)
Step-by-step explanation:
So to find the area of this triangle, you will need to use the equation
Area = \(\frac{1}{2}\)c*b*sin(A) = \(\frac{1}{2}\)a*b*sin(C)
Here, we have ∠A, ∠C, and side c
We can use the fact that \(\frac{a}{sin(A)} = \frac{b}{sin(B)} = \frac{c}{sin(C)}\) so solve for the other variables we do not have.
First we can find the other angle B. Since ∠A + ∠B + ∠C = 180°,
∠B = 180° - ∠A - ∠C, which is ∠B = 180° - 115° - 24° = 41°
Now that we have all three angles, we can solve for the sides
Since we only have side c, we will manipulate the equation with c and one of the others to solve for a or b. Let's solve for side b first.
Since \(\frac{b}{sin(B)} =\frac{c}{sin(C)}\), solving for b would give us \(b=\frac{csin(B)}{sin(C)}\). Then plugging in our values we get \(\frac{4.2sin(41)}{sin(24)}\)= 6.77 = b
Now we can solve for the remaining side, a, using the same method.
Since \(\frac{a}{sin(A)} =\frac{b}{sin(B)}\), solving for a would give us \(a=\frac{bsin(A)}{sin(B)}\). Then plugging on our values we get \(\frac{6.77sin(115)}{sin(41)}\)= 9.36 = a
Now that we have all our angles and sides, we can plug in our numbers to either of our area equations ⇒
Area =\(\frac{1}{2}\)c*b*sin(A)= \(\frac{1}{2}\)(4.2)(6.77)sin(115) = 12.9\(in^{2}\) or \(\frac{1}{2}\)a*b*sin(C) = \(\frac{1}{2}\)(9.36)(6.77)sin(24) = 12.9\(in^{2}\)
10. Line k is graphed below. Write an equation for line m that is perpendicular to line k (there are multiple correct answers). у *
To find the equation for line m, that is perpendicular to line k, we will take the steps below:
First, find the slope of line k from the graph given
To find the slope, locate the coordinates of any given 2 points from the line.
we have;
(4, 0) and (0, 3)
From the points above:
x₁= 4 y₁=0 x₂=0 y₂=3
slope = y₂-y₁ /x₂- x₁
substitute the values of the coordinate into the formula above
slope = 3 - 0 / 0 -4
= 3/ -4
= - 3/4
slopes of perpendicula equations are given by;
m₁m₂= -1
let m₁ be slope of k and m₂ be slope of m
(-3/4)m₂ = -1
multiply both-side of the equation by -4/3
m₂ = 4/3
The above is the slope of line M
Next, is to find the intercept of line M
y=mx + b
Find the greatest possible error for each measurement. 1 1/4
Answer:
12 should be 1 as in 1 foot. 1' 1/4"
Step-by-step explanation:
Mrs. Dudley is organizing a breakfast party for her office of 240 employees. She wants to
buy enough donuts so that everyone can have 2. If donuts come in boxes of 12, how many
boxes does she need to buy?
Answer:
40 boxes
Step-by-step explanation:
Total donuts needed = number of employers x 2 = 240 x 2 = 480
Number of boxes = total number of donuts needed ÷ 12 = 480 ÷ 12 = 40
the issues surrounding the levels and structure of executive compensation have gained added prominence in the wake of the financial crisis that erupted in the fall of 2008. based on the 2006 compensation data obtained from the securities and exchange commission (sec) website, it was determined that the mean and the standard deviation of compensation for the 524 highest paid ceos in publicly traded u.s. companies are $10.82 million and $10.25 million, respectively. an analyst randomly chooses 46 ceo compensations from 2006 for analysis. true or false: the sampling distribution of the sample mean is approximately normally distributed.
The central limit theorem tells us that the distribution of the sample mean will be approximately normal if the sample size is sufficiently large. This information can be used to calculate the standard error and construct confidence intervals.
The sampling distribution of the sample mean is approximately normally distributed.
This statement is true. When the sample size is large\((n ≥ 30),\) the sampling distribution of the sample mean is approximately normally distributed. The sample mean is the mean of the sample's measurements, while the sampling distribution of the sample mean is the distribution of all possible sample means with a particular sample size.The central limit theorem guarantees that the sampling distribution of the sample mean is approximately normal if the sample size is large enough. This is due to the fact that the distribution of the population is not necessary. This theorem allows us to use the normal distribution in inferential statistics, making it an important theorem in statistics. When the sample size is less than 30, it is appropriate to use the t-distribution instead of the normal distribution because the t-distribution takes into account the extra uncertainty generated by the smaller sample size.The sampling distribution is critical to statistical inference because it helps us estimate population parameters by making inferences based on sample statistics. For instance, suppose we want to know the mean salary of all the employees in a firm. We could take a random sample of employees and calculate their average salary.
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You need a new mat to place under your dogs water bowl. The mat has a diameter of 24 inches and the water bowl has a diameter of 8 inches. What is the approximate space of the mat not covered by the water bowl?
Answer:
200.96
Step-by-step explanation:
So, we have to find the area of both.
The area for the mat is
(pi)12^2=3.14x144. However, since it is HALF a circle, we divide it by two.
So, 226.08
Next, the water bowl.
(3.14)4^2=50.24.
226.08-25.12=200.96
I may be wrong!
what is the unit rate for each size of peanut butter regular size $per. oz. regular size 16 oz price 3.36
You see in the table given in the exercise, that a Regular size of peanut butter has 16 ounces and it costs $3.36.
In order to calculate the unit rate of this regular size, you must divide $3.36 by 16 ounces.
Let be "r" the unit rate for the Regular size. This is:
\(\begin{gathered} r=\frac{3.36dollars}{16ounces} \\ \\ r=0.21\frac{dollars}{ounce} \end{gathered}\)According to the table, the Family size has 40 ounces and it costs $7.60.
Let be "f" the the unit rate for the Family size.
Dividing $7.60 by 40 ounce, you get that the value of "f" is the following:
\(\begin{gathered} f=\frac{7.60dollars}{40ounces} \\ \\ f=0.19\frac{dollars}{ounce} \end{gathered}\)Based on the results obtained, you can determine that Family size is the better buy.
The answers are
Regular: $0.21 dollars per ounce.
Family size: $0.19 dollars per ounce.
Family size is the better buy.
what is the smallest numerical value that a poisson random variable can be?
A Poisson random variable represents the number of occurrences of an event in a fixed interval of time or space. It is a discrete random variable, which means that it can only take on integer values, starting from zero. Therefore, the smallest numerical value that a Poisson random variable can be is zero.
This means that there is a possibility that the event will not occur at all during the given interval. For example, if we are counting the number of customers who visit a store in an hour, it is possible that no customers show up during that hour, resulting in a Poisson random variable of zero.
However, the probability of this occurring depends on the average rate of the event occurring, which is denoted by the parameter λ in the Poisson distribution. The larger the value of λ, the smaller the probability of a Poisson random variable being zero.
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One number is four more than a second number. Two times the first number is 10 more than four times the second number
Call the first number "x" and the second number "y". So the first number is 3.
From the problem statement, we know:
x = y + 4 (the first number is four more than the second number)
2x = 4y + 10 (two times the first number is 10 more than four times the second number)
Now we can solve for one of the variables in terms of the other, and then substitute that expression into the other equation to solve for the other variable. Let's use the first equation to solve for x:
x = y + 4
Substitute this expression for x into the second equation:
2x = 4y + 10
2(y + 4) = 4y + 10
Distribute the 2:
2y + 8 = 4y + 10
Subtract 2y from both sides:
8 = 2y + 10
Subtract 10 from both sides:
-2 = 2y
Divide both sides by 2:
-1 = y
Now we know that the second number is -1. We can use the first equation to find the first number:
x = y + 4
x = -1 + 4
x = 3
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Someone explain please
Answer:
SA = 94 ft²
Step-by-step explanation:
To find the surface area of a rectangular prism, you can use the equation:
SA = 2 ( wl + hl + hw )
SA = surface area of rectangular prism
l = length
w = width
h = height
In the image, we are given the following information:
l = 4
w = 5
h = 3
Now, let's plug in the information given to us to solve for surface area:
SA = 2 ( wl + hl + hw)
SA = 2 ( 5(4) + 3(4) + 3(5) )
SA = 2 ( 20 + 12 + 15 )
SA = 2 ( 47 )
SA = 94 ft²
If this answer helped you, please leave a thanks!
Have a GREAT day!!!
Please need answers please
Answer:
The absolute value is the distance between a number and zero. The distance between −13 - 13 and 0 0 is 13 13 . −1⋅13 - 1 ⋅ 13. Multiply −1 - 1 by 13 13 .
Step-by-step explanation:
Happy to Help 13
Write and solve an inequality to determine the values that x can be so the area of the rectangle shown is at least 27 centimeters squared.
Given:
Width of the rectangle =3 and length of the rectangle = 4+x.
Consider the area of the rectangle.
\(A=lw\)Substitute l=4+x and w=3 in the formula.
\(A=3(4+x)\)\(A=12+3x\)\(A=3x+12\)
The area of the rectangle is at least 27 centimeters squared.
\(A\le27\)Substitute A=12+3x in the inequality, we get
\(3x+12\le27\)The inequality is
\(3x+12\le27\)Subtracting 12 from both sides of the inequalities, we get
\(3x+12-12\le27-12\)\(3x\le15\)Dividing both sides by 5, we get
\(\frac{3x}{3}\le\frac{15}{3}\)\(x\le5\)Hence the solution is
\(x\le5\)True or False: A multiple regression is called "multiple" because it has several dependent variables.
Answer:
FALSE is the answer for your question
6 cm
63 cm
the area of the rectangle
Answer:
Area of a rectangle is length *width
Therefore the area is 378cm square
an = a, .m-1 5. For the series (5 + 10 + 20 + ... + 20480): Calculate the 10th term in this series. =? a = ? Calculate the sum of the given series. Sn a,(1-r") 1=r
We can find the common ratio with the following formula:
\(r=\frac{a_{n+1}}{a_n}\)In this case, we have the following:
\(\begin{gathered} r_1=\frac{a_2}{a_1}=\frac{10}{5}=2 \\ r_2=\frac{a_3}{a_2}=\frac{20}{10}=2 \end{gathered}\)we can see that the common ratio is r = 2. Then, we have the following formula for the sequence:
\(\begin{gathered} a_n=a_1\cdot r^{n-1} \\ a_1=5 \\ r=2 \\ \Rightarrow a_n=5\cdot2^{n-1} \end{gathered}\)Now, to find the 10th term,we make n = 10:
\(\begin{gathered} n=10 \\ \Rightarrow a_{10}=5\cdot2^{10-1}=5\cdot2^9=5\cdot512=2560 \end{gathered}\)therefore, the 10th term is 2560
The sum of the series can be calculated with the formula:
\(\begin{gathered} S_n=\frac{5(1-2^n)}{1-2}=-5(1-2^n) \\ \end{gathered}\)Write down letters of the circled points and order them by least to greasiest. You will spell a word that describes y way to compare quantities
One way to compare quantities is with fractional numbers that represent quantities using divided numbers.
What is a fraction?Fractional number is a mathematical concept that refers to a quantity divided by another quantity. Common fractions are made up of: numerator, denominator and dividing line between them (horizontal or oblique bar).
The denominator "b" expresses the number of equal parts that represent the unit.The numerator "a" indicates how many of them are taken.Some examples of fractional numbers are:
\(\frac{1}{2}\)\(\frac{2}{4}\)\(\frac{3}{4}\)\(\frac{50}{100}\)Note: This question is incomplete because there is some information missing. However I can answer it based on my general prior knowledge.
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Answer:
The word is RATIO.
Step-by-step explanation:
Your problem is incomplete. However, I came across the same problem and solved it (Lesson 23, question 220c). Use the coordinates ONLY from the previous question and compare from there.
what 800x21 let go 50 points it easy
Answer:
16800
Step-by-step explanation:
800
* 21
---------
Multiply: 800*1=800
Multiply: 800*2=1600
Add: 16800+800=16800
Answer:
16800
Step-by-step explanation:
800
* 21
---------
Multiply: 800*1=800
Multiply: 800*2=1600
Add: 16800+800=16800
PLEASE HELP
Order the following numbers from greatest to least. 8.4, 25/3,√72, 35/4
Using greater than sign or number line, we can show the numbers from greatest to least as 35/4 > √72 > 25/3 > 8.4
How is the number arranged from greatest to leastTo arrange numbers from greatest to least, you would first find the largest number and place it at the beginning of the list. Then, you would compare the remaining numbers and place the next largest number after the first. You would continue this process until all of the numbers are arranged in order from largest to smallest.
In this problem, we can arrange the number from greatest to least and assigning the greater than sign to show the decrease in number. We dan also use the concept of number line to show how the numbers are placed.
From the data given,
35/4 > √72 > 25/3 > 8.4
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