The cheerleaders want to raise money to go to camp, so they decide to sell spirit ribbons. They will earn 50¢ for each ribbon that they sell. However, they have to purchase the ribbons first for a total cost of $75. Use the table below to figure their total profit from selling ribbons.
What is the total profit after selling 0 ribbons?
Answers
Using a linear function, we have that:
The rule is P(x) = 0.5x - 75.The total profit after selling 0 ribbons is of -$0.75.What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.For this problem, when x increases by 10, the profit increases by 5, hence the slope is:
m = 5/10 = 0.5.
Then:
P(x) = 0.5x + b.
When x = 10, P(x) = -70, hence:
-70 = 0.5(10) + b
b = -75.
Hence:
The rule is P(x) = 0.5x - 75.The total profit after selling 0 ribbons is of -$0.75.More can be learned about linear functions at https://brainly.com/question/24808124
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Related Questions
an agricultural field test compares two varieties of corn, silver queen and country gentlemen. the researches takes 10 plots and divides each of these plots in half. each plot has a similar amount of sun light, shade, quality of soil and irrigation. the variety of corn is randomly chosen for each half of a plot. after the harvest, the yield of corn is measured for each half plot at each location. the yield from silver queen was compared to the yield of country gentlemen. note: differences were taken by taking silver queen - country gentlemen the 95% confidence interval for the mean is (-0.223, 0.988). what can we expect will be the p-value for a two sided test using this data? group of answer choices the p-value should be smaller than 0.95. the p-value should be higher than 0.95. the p-value should be higher than 0.05. the p-value should be smaller than 0.05.
Answers
Based on the given information, we can expect the p-value for a two-sided test using this data to be smaller than 0.05. This is because the 95% confidence interval for the mean does not contain 0, which indicates that there is a statistically significant difference between the yield of silver queen and country gentlemen.
A p-value is a measure of the evidence against the null hypothesis (which in this case would be that there is no difference between the two corn varieties). The smaller the p-value, the stronger the evidence against the null hypothesis and the more likely we are to reject it. In general, if the p-value is smaller than the chosen significance level (usually 0.05 or 0.01), we reject the null hypothesis and conclude that there is a significant difference between the two groups being compared.
Therefore, in this case, we can expect the p-value to be smaller than 0.05 and conclude that there is a significant difference in the yield of silver queen and country gentlemen.
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Which of the following is/are true? (select all that apply) Invertible matrices are square. If A and B are invertible non matrices, that AB⊤ is invertible. Every square matrix is invertible. If B and C are inverses of a matrix A, then B=C. Elementary matrices are invertible. Question 2 Let A=[12−451−1] and B=[10−4131−3]. Find an elementary matrix E such that EA = B. E=[1201]E=⎣
⎡100210001⎦
⎤E=[1−201]E=⎣
⎡100−210001⎦
⎤ 0.4pts None of the choices is correct.
Answers
The elementary matrix E that transforms A into B is:
E = [1 0 0]
[0 1 -2]
[0 0 1]
Regarding the first question, the following statements are true:
Now, for the second question, to find an elementary matrix E such that EA = B, we need to perform elementary row operations on A.
Let's calculate the row operations required to transform A into B:
Multiply the second row of A by 2 and add it to the first row.
New A: [1 0 1]
[0 1 -2]
[0 0 1]
2. Multiply the third row of A by -1 and add it to the first row.
New A: [1 0 0]
[0 1 -2]
[0 0 1]
Therefore, the elementary matrix E that transforms A into B is:
E = [1 0 0]
[0 1 -2]
[0 0 1]
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i need help fast please
Answers
Answer:
C ) 1/8 * 8 * 8 * 8 * 8 * 8 * 8 * 8
If p/q=q/r then prove that p3+q3+r3=(1/p3+1/q3+1/r3)p2q2r2
Answers
Hope you could understand.
If you have any query, feel free to ask.
Expanding the given expression and substituting the given values of \(\dfrac{p}{q}\) with \(\dfrac{q}{r}\) proves that the given equation
Correct response:
\(The \ expression \ p^3 + q^3 + r^3 \ is \ equal \ to \ \left(\dfrac{1}{p^3} + \dfrac{1}{q^3} +\dfrac{1}{r^3} \right) \cdot p^2 \cdot q^2 \cdot r^2 \ by \ subtituting\)
\(\dfrac{p}{q} = \dfrac{q}{r}\)
Method used to prove that the expression are equalThe given relation is;
\(\dfrac{p}{q} = \mathbf{\dfrac{q}{r}}\)
The given equation is presented as follows;
\(p^3 + q^3 + r^3 = \mathbf{\left(\dfrac{1}{p^3} + \dfrac{1}{q^3} + \dfrac{1}{r^3} \right) \cdot p^2 \cdot q^2 \cdot r^2}\)
Expanding the right hand side gives;
\(\dfrac{p^2 \cdot q^2 \cdot r^2}{p^3} + \dfrac{p^2 \cdot q^2 \cdot r^2}{q^3} + \dfrac{p^2 \cdot q^2 \cdot r^2}{r^3} = \mathbf{ \dfrac{q^2 \cdot r^2}{p} + \dfrac{p^2 \cdot r^2}{q} + \dfrac{p^2 \cdot q^2 }{r}}\)
\(\dfrac{q^2 \cdot r^2}{p} + \dfrac{p^2 \cdot r^2}{q} + \dfrac{p^2 \cdot q^2 }{r} = \mathbf{ \dfrac{q}{p} \cdot q \cdot r^2 + \dfrac{p}{q} \cdot p \cdot r^2+\dfrac{q}{r} \cdot p^2 \cdot q }\)
\(\dfrac{q}{p} \cdot q \cdot r^2 + \dfrac{p}{q} \cdot p \cdot r^2+\dfrac{q}{r} \cdot p^2 \cdot q } = \dfrac{r}{q} \cdot q \cdot r^2 + \dfrac{q}{r} \cdot p \cdot r^2+\dfrac{p}{q} \cdot p^2 \cdot q } = \mathbf{ r^3 + q \cdot p \cdot r + p^3}\)
From the given relation, we have;
p·r = q²
Therefore;
q·p·r = q × q² = q³
Which gives;
r³ + q·p·r + p³ = r³ + q³ + p³
Which gives;
\(\left(\dfrac{1}{p^3} + \dfrac{1}{q^3} + \dfrac{1}{r^3} \right) \cdot p^2 \cdot q^2 \cdot r^2 = p^3 + q^3 + r^3\)
By symmetric property, therefore;
\(\underline{p^3 + q^3 + r^3 = \left(\dfrac{1}{p^3} + \dfrac{1}{q^3} +\dfrac{1}{r^3} \right) \cdot p^2 \cdot q^2 \cdot r^2}\)Learn more about the substitution and properties of equality here:
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Your yard is the shape of a trapezoid you go to the store to find fertilizer please help
Answers
your answer is 1725 hope that helped
1. The temperature in Lafayette , Louisiana is 5°C at 5 am in the morning. If the temperature keeps
on decreasing by 3°C every hour, what will be the temperature in Lafayette by 4 pm at night?
Answers
Answer:
-28° C
Step-by-step explanation:
First, find how many hours are between 5 am and 4 pm:
This will be 11 hours
Then, multiply 11 by -3 since it decreases by 3 each hour:
11(-3)
= -33
Then, subtract 33 from 5
5 - 33
= -28
So, it will be -28° C by 4 pm
frustrated freight may never reach the intended recipient T/F
Answers
True, Frustrated Freight is any freight or shipment that it has been halted from moving.
Generally speaking, the elements that make a bundle quit moving or being shipped to the normal beneficiary are issues to do with marking, bundling, as well as making.
Frustrated Freight alludes to products that can't be conveyed to the expected beneficiary because of different reasons like an erroneous location, beneficiary inaccessibility, or harm during travel.
This can prompt the shipment never arrive at its expected objective, causing disillusionment for the shipper and beneficiary, and possibly bringing about monetary misfortunes.
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can someone write me the equation please???
Answers
Hope this helps
air is being pymped into a spherical balloon at a rate of 4.5 cubic feet per minute. find the rate of change of the the radius when the radius is 2 feet.
Answers
When the radius is 2 feet, the rate of change of the radius is approximately 0.089 ft/min (rounded to three decimal places).
To find the rate of change of the radius when the radius is 2 feet, and air is being pumped into a spherical balloon at a rate of 4.5 cubic feet per minute, we can use the following steps:
Determine the volume formula for a sphere: V = (4/3)πr³.
Differentiate the volume formula with respect to time (t) to find dV/dt: dV/dt = d((4/3)πr³)/dt.
Apply the chain rule: dV/dt = (4/3)π(3r²)(dr/dt).
Simplify the equation: dV/dt = 4πr²(dr/dt).
Solve for the rate of change of the radius (dr/dt): dr/dt = dV/dt / (4πr²).
Plug in the given values: dV/dt = 4.5 cubic feet per minute and r = 2 feet.
Calculate the rate of change of the radius (dr/dt): dr/dt = 4.5 / (4π(2²)).
Simplify and compute the answer: dr/dt = 4.5 / (16π).
When the radius is 2 feet, the rate of change of the radius is approximately 0.089 ft/min (rounded to three decimal places).
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The Hernandez family is on a road trip. They have been driving for 3 1/2 hours. They have listened to 4 CDs of equal length.
Part A
How long was each CD?
Part B
If the family has 1 hour of their drive left, how many CDs will they be able to listen to in the final hour?
Answers
Part A: The length (number of hours) of each CD is 0.875 hours.
Part B: The Hernandez family can listen each for 0.875 hours
Given that,
The Hernandez family is on a road trip. They have been driving for 3 1/2 hours. They have listened to 4 CDs of equal length.
What is an equation?
An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Part A
Let the length (number of hours) of each CD be x.
Now, x = 7/2 = 3.5/4 = 0.875
= 0.875 hours
Part B
If the family has 1 hour of their drive left, still they can listen 4 CDs.
Therefore, the Hernandez family can listen each for 0.875 hours.
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lisa and daisy work at a hair salon. the salon charges $18 fir a hair styling session with lisa and $12 for a session with daisy. the income on a certain day is projected to be $216. this situation can be represented by the equation 18x+12y=216, where x is the number of lisa's customers and y is the number of daisy's customers would lisa need to serve to attain the projected income if daisy calls in sick that day?
Answers
Lisa would need to serve 12 customers to attain the projected income if Daisy calls in sick that day
What is linear function ?
A linear function is a mathematical function that can be represented by a straight line on a graph. It has the form of:
y = mx + b
where m is the slope of the line, which determines how steeply the line rises or falls, and b is the y-intercept, which is the point where the line crosses the y-axis.
According to the question:
If Daisy calls in sick, then Lisa will be the only stylist at the salon, and all customers will go to her. Let's use x to represent the number of Lisa's customers. Then the income generated by Lisa's customers can be represented by the equation:
18x = projected income
We can solve for x by dividing both sides of the equation by 18:
x = projected income / 18
Substituting the given projected income of $216, we get:
x = 216 / 18 = 12
Therefore, Lisa would need to serve 12 customers to attain the projected income if Daisy calls in sick that day.
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Using limits Find this integral. [xex ex dx Find the area bounded by the curve }=xe* and the lines x = 0 and x = 2 area = + Leave your answer in terms of e. ) + c [2] [2] Find this integral. 1. x cos 4x dx = ) + c [2] Find the area bounded by the curve y = x cos 4x for 0 ≤ x ≤ area =
Answers
Evaluating the integral gives us an answer in terms of e. For the second question, finding the area bounded by the curve y = x cos 4x for 0 ≤ x ≤ 2 involves calculating the definite integral of x cos 4x over the given interval.
For the first integral, xex ex dx, we can use the limit definition of the integral to evaluate it. Applying the integral definition, we have:
∫[xex ex dx] = lim(n→∞) [∑(i=1 to n) (x_i * ex_i/n * ex_i/n) Δx]
By simplifying and taking the limit as n approaches infinity, we can compute the integral. The resulting answer will be in terms of e.
For the second question, finding the area bounded by the curve y = x cos 4x for 0 ≤ x ≤ 2, we need to calculate the definite integral of x cos 4x over the interval [0, 2]. The definite integral represents the area under the curve between the given bounds. Evaluating this integral will give us the desired area.
To find the definite integral, we can use integration techniques such as substitution or integration by parts to simplify the expression and then evaluate it over the interval [0, 2].
The resulting value will represent the area bounded by the curve y = x cos 4x for 0 ≤ x ≤ 2.
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when going from a 95% confidence interval for a parameter to a 90% confidence interval, the width of the confidence interval will: a. increase b. decrease c. stay the same d. vary depending on the data
Answers
When moving from a 95% confidence interval to a 90% confidence interval, the width of the interval will decrease. (option b).
To understand this, let's consider a simple example. Suppose we want to estimate the mean height of all high school students in a particular region. We take a sample of 100 students and calculate the mean height to be 65 inches, with a 95% confidence interval of (63, 67) inches. This means that if we were to repeat this process many times, we would expect the true population mean height to be within this interval 95% of the time.
Now, if we were to calculate a 90% confidence interval instead, we would obtain a narrower interval because we are now willing to accept a greater risk of being wrong.
It is important to note that the width of the confidence interval depends on the sample size and the variability of the data.
As the sample size increases or the variability decreases, the confidence interval will become narrower. Conversely, as the sample size decreases or the variability increases, the confidence interval will become wider.
Hence the correct option is (b)
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if an > 0 and lim n→[infinity] an + 1 an < 1, then lim n→[infinity] an = 0.
T/F
Answers
The statement is true. If a sequence {an} satisfies the condition an > 0 and lim n→∞ (an + 1)/an < 1, then the limit of the sequence as n approaches infinity, lim n→∞ an, is equal to 0.
To prove the statement, we use the limit comparison test. Let's assume that lim n→∞ (an + 1)/an = L, where L < 1. Since L < 1, we can choose a positive number ε such that 0 < ε < 1 - L. Now, there exists a positive integer N such that for all n ≥ N, we have (an + 1)/an < L + ε. Rearranging the inequality, we get an + 1 < (L + ε)an.
Now, let's consider the inequality for n ≥ N:
an + 1 < (L + ε)an < an.
Dividing both sides by an, we get (an + 1)/an < 1, which contradicts the given condition. Hence, our assumption that lim n→∞ (an + 1)/an = L is incorrect. Therefore, the only possible limit for the sequence {an} as n approaches infinity is 0, and hence the statement is true.
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Does this triangle have a hypotenuse of 39 feet long?
Answers
9514 1404 393
Answer:
no — the hypotenuse is about 33.5 ft long
Step-by-step explanation:
The hypotenuse (h) is given by the Pythagorean theorem.
h² = 15² +30² = 225 +900 = 1125
h = √1125 ≈ 33.54
The hypotenuse of this triangle is not 39 feet long.
_____
Additional comment
You can estimate the hypotenuse based on the relative side lengths. Here the short side is 1/2 the length of the long side. This means the hypotenuse will be longer than the long side by an amount between ...
0.4(1/2)² = 0.1
and
0.5(1/2)² = 0.125
times the length of the long side. That is, the additional length will be between 3 and 3.75 feet, so the hypotenuse will be shorter than 33.75 feet.
WILL GIVE BRAINLIEST PLS HELP
Solve for y in terms of w, x, and z.
x=zyw
y=
Answers
Answer:
y= x/zw
Step-by-step explanation:
Isolate the variable by dividing each side by the factors that dont contain the variable
x=zyw /zw
y=x/zw
Using the Table below find the common difference. Write the number in
the answer box. Only write the number!
х
3
5
7
9
у
1
5
9
13
Find a 15
Type the number answer in the blank provided.
Answers
Answer:
9
Step-by-step explanation:
The diagonals of a square is 12cm each calculate the area
Answers
Given
The diagonals of a square is 12cm each calculate the area
Solution
From the properties of a square
All sides are equal
Let each side be x
Using pythagoras
\(\begin{gathered} 12^2=x^2+x^2 \\ 12^2=2x^2 \\ 144=2x^2 \\ divide\text{ both sides by 2} \\ \frac{144}{2}=\frac{2x^2}{2} \\ x^2=72 \\ x=\sqrt{72} \\ x=6\sqrt{2} \\ \end{gathered}\)Now
\(\begin{gathered} Area\text{ of a square =}x\times x \\ Area\text{ of a square = 6}\sqrt{2}\times6\sqrt{2} \\ Area\text{ of a square=6}\times6\times\sqrt{2}\times\sqrt{2} \\ Area\text{ of a square =36}\times\sqrt{4} \\ Area\text{ of a square =36}\times2 \\ The\text{ area of the square is 72cm}^2 \end{gathered}\)The final answer
The diagonals of a square is 12cm, the area will be
\(72cm^2\)
let x1 and x2 be independent random variables. suppose the mean and variance of x1 are 2 and 4, respectively. suppose, the mean and variance of x2 are 3 and 5, respectively. what is the mean and variance of: a. y
Answers
Answer:
The mean and variance of a y is 5 and 9 respectively.
Step-by-step explanation:
Let x1 and x2 be independent random variables.
Suppose the mean and variance of x1 are 2 and 4, respectively. Suppose, the mean and variance of x2 are 3 and 5, respectively. We need to find the mean and variance of y.
Mean of y,
The mean of y is given by the sum of the means of x1 and x2.
Mean of y = Mean of x1 + Mean of x2
Mean of y = 2 + 3
Mean of y = 5
Thus, the mean of y is 5.
Variance of y,
The variance of y is given by the sum of the variances of x1 and x2.
Variance of y = Variance of x1 + Variance of x2
Variance of y = 4 + 5
Variance of y = 9
Thus, the variance of y is 9.
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PLEASE HELP ASAP!!!!!! DON'T KNOW IF THIS IS THE RIGHT ANSWER 100 points
Answers
Answer: I think it is the first one
Step-by-step explanation:
Answer:
I'm pretty sure it's x^2 - 4x
Step-by-step explanation:
A water hose discharge water at a rate of 180 gallons for every 12 minutes. Which graph has a slope that best represents this rate?
Answers
Answer:
D
Step-by-step explanation:
I guess because the line has to get to 12 minutes by 180 on the y axis so the only possible one for that to happen with is D
Answer:
graph D
Step-by-step explanation:
it shows 90 gallons in 6 minutes- which is the same rate as 180 gallons in 12 minutes
Oregon has 190 golf courses with a population of 4,301,089. How many golf courses does Oregon have per 100,000 people? Round to the nearest whole number.
Answers
Oregon has 5 golf course per 100,000 people.
How to perform butterfly method of multiplication?The butterfly method for adding or subtracting fractions is:
Write the fractions side by side as you normally would, but this time draw two wings along the diagonals formed by the numerator of one fraction and the denominator of the other fraction.
Multiply the numbers in each wing as shown by the wings, which resemble a multiplicand.
To give it a body, join the lower halves of the wings together to form a loop that resembles a body. Then, multiply the two denominators it joins to place the result within the body.
Adjust the numbers in the antennas in accordance with how fractions are being altered, then add or subtract the resulting value from the body number.
If required, simplify or minimize the outcome.
Given that the golf course for 4301089 people is 190.
4201089 = 190
100000 = x
Using the butterfly method for multiplication we have:
x = 190 * 100000 / 4201089
x = 5
Hence, Oregon has 5 golf course per 100,000 people.
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how far away would you need to place the ladder
Answers
Answer:
Step-by-step explanation:
far away
Answer:3 inches
Step-by-step explanation:
What is i^34?
A. -1
B. -i
C. 1
D. 1
Answers
Answer:
A.-1 all you had to do was look up the answer
Step-by-step explanation:
help I can’t do basic math skjsjdmdmx
Answers
Answer:
2/8 which simplifies to 0.111111
Step-by-step explanation:
£240 is divided between Sara, Gordon & Malachy so that Sara gets twice as much as Gordon, and Gordon gets three times as much as Malachy. How much does Gordon get? (Quick Pls)
Answers
Explanation:
Sarah gets twice as much as Gordon and Gordon gets three times as much as Malachy, which means that Malachy gets 1 part of the money, Gordon gets 3 parts because he has three times as much as Malachy, and Sarah gets 6 because she gets twice as much as Gordon. As a ratio from Sarah to Gordon to Malachy its 6:3:1. All of that adds up to £240. If u add 6+3+1 it gives you 10. 240/10 is £24. And Gordon has 3 parts so you do 3x24 which gives you £72
Answer:
£72
Step-by-step explanation:
let Malachy amount be x then Gordon's is 3x and Sara is 2 × 3x = 6x
Then
x + 3x + 6x = 10x = £240 ( divide both sides by 10 )
x = £24
Gordon gets 3x = 3 × £24 = £72
PLEASE help me need solution please
Answers
Answer:
The answer is letter B
Step-by-step explanation:
-5x^2+3x+10
-25x+3x(-5)+10
-25x-15+10
-40+10
30
9514 1404 393
Answer:
A. f(x) = x^2 -3x -10
Step-by-step explanation:
You can easily determine the correct equation by looking at a couple of table values.
The y-value for x=0 is -10, which is the constant in the quadratic formula. (eliminates choices B and C)
The y-value for x=1 is -12, which is the sum of coefficients in the quadratic formula. For choice A, the sum of coefficients is 1 -3 -10 = -12. For choice D, the sum of coefficients is 1 +3 -10 = -6. The value for choice D does not match the table, but the value for choice A does.
The function that represents the table is ...
f(x) = x^2 -3x -10
_____
Additional comments
If you don't have equations to test, and you want to write your own equation, there are a couple of ways to do that. One is to look at the differences of y-values, and the differences of those.
The sequence of y-values shown is ...
30, 18, 8, 0, -6, -10, -12
The sequence of differences of these numbers, starting with 18-30 = -12 is ...
-12, -10, -8, -6, -4, -2
The sequence of differences of these numbers is ...
2, 2, 2, 2, 2
The fact that they are constant tells you a quadratic (degree = 2) will describe the table.
We can find the coefficients a, b, c in the quadratic formula f(x) = ax^2 +bx +c as follows. First, we define d1 as the first of the sequence of differences (-12), and d2 as the value of the second differences (2). And we'll let x0 and y0 be defined as the first of the x-values (-5) and y-values (30).
The formulas for the coefficients (a, b, c) can be found from ...
a = (d2)/2 = 2/2 = 1
b = (d1) -a(2·(x0) +1) = -12 -1(2·(-5) +1) = -12 +9 = -3
c = y0 -x0(a·x0 +b) = 30 -(-5)(1·(-5) +(-3) = 30 -40 = -10
As we noted above, the y-value corresponding to x=0 is also this c value. When the table includes x=0 and x=1, those can be used to simplify the finding of the formula coefficients.
These computations tell us f(x) = x^2 -3x -10, as above.
__
If you have to do this again, it might be useful to make a note of the expressions for 'a', 'b', and 'c' that we showed here, along with the definitions of the variables we used in them.
__
Another way to find the formula for f(x) is to make use of a calculator or spreadsheet capable of quadratic regression. Give it three (x, y) pairs from the table, and it can tell you the formula coefficients. This is illustrated by the attachment.
DIVIDING POLYNOMIALS:
Use Synthetic Division To Find p(3)=x^4 - 6x^3 - 4x^2 - 6x - 2.
just plug the three into the places where the "X" is and thats how you show your work:)
like this: (3)^4 - 6(3)^3 - 4(3)^2 - 6(3) - 2 = -137
ANSWER : -137
Answers
Answer:
Step-by-step explanation:
Predict the number of times you roll an odd number or a two when you roll a six-sided number cube 300 times.
Answers
Answer:
The probability of rolling an odd number or a two on a six-sided die is 1/2 + 1/6 = 2/3. This means that if you roll a six-sided die 300 times, you can expect to roll an odd number or a two approximately 200 times
Step-by-step explanation:
Answer: 400 TIMES
Step-by-step explanation:
1/6 +1/2
4/6
2/3
PLEASE HELP ME IM VERY CONFUSED ALSO PLEASE DO IT CORRECTLY
Answers
Answer:
i think the answer is a. or b.
Step-by-step explanation: