The carnival fundraiser at Westville Elementary School raised $300 on Friday. On Saturday, the carnival will raise 480 percent of that amount. Which statements are true about the amount of money that the carnival will raise on Saturday? Check all that apply.

The answer will be less than $300 because 100 is less than 480.
The answer will be greater than $300 because 480 is greater than 100.
(100)(3) = 300, so 480(3) is the amount of money that the carnival will raise on Saturday.
480 + 300 is the amount of money that the carnival raised on Saturday.
The carnival raised $780 on Saturday.
The carnival raised $1,440 on Saturday.

Answer:

a

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

We know that the volume of a cylinder is given by the formula:

\(V=\pi r^2h\)

And we want to find the expression that represents the volume when the radius is (x+8) and the height is (2x+3).

So, let's substitute (x+8) for r and (2x+3) for h. This yields:

\(V=\pi (x+8)^2(2x+3)\)

Let's expand.

Expand the square term first. We can use the perfect square trinomial pattern, which is:

\((a+b)^2=a^2+2ab+b^2\)

Here, our a is x and b is 8. So:

\(V=\pi (x^2+2(x)(8)+(8)^2)(2x+3)\)

Simplify:

\(V=\pi (x^2+16x+64)(2x+3)\)

Expand further. This time, we will use the distribute property. So:

\(V=\pi ((x^2+16x+64)(2x)+(x^2+16x+64)(3))\)

Multiply:

\(V=\pi((2x^3+32x^2+128x)+(3x^2+48x+192))\)

Combine like terms:

\(V=\pi((2x^3)+(32x^2+3x^2)+(128x+48x)+(192))\)

Add:

\(V=\pi(2x^3+35x^2+176x+192)\)

Distribute the π:

\(V=2\pi x^3+35\pi x^2+176\pi x+192\pi\)

So, our answer is C.

And we're done!

Answer:

C

Step-by-step explanation:

V=πr²h

V=π(x^2+64)h

V=π(x^2+64)(2x+3)

V=π(2x^3+3x^2+128x+192)

C: 2πx³+ 35πx²+176πx+192π

Answer:

891.75 sq.ft is the area of the polygon

Step-by-step explanation:

9.2^2 + 10^2= 184.64

√184.64= 13.59 feet

area of regular octagon=A=2(1+√ 2)a^2

A= 2(1+√2)13.59^2

A=891.75 sq.ft(approx)

The correct answer to the given question is "True."

Cross-sectional design involves the systematic collection of responses to a consumer survey instrument from one or more samples of respondents at one point in time. The main purpose of the cross-sectional design is to gather information about a population at a specific time or period. Cross-sectional research is frequently used in psychology, epidemiology, marketing research, and other fields. The word "systematic" is used in the question, which implies a methodical or orderly procedure. Cross-sectional design gathers information through a systematic and organized method. Therefore, it is true that cross-sectional design involves the systematic collection of responses to a consumer survey instrument from one or more samples of respondents at one point in time.

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It seems that you are referring to the exponential growth formula which is:

N(t) = N₀ * (1 + r)^t

Where:
N(t) is the number of individuals at time t
N₀ is the initial number of individuals (in this case, 25 alive in 1955)
r is the growth rate
t is the time period (in years)

In this problem, we have:
N₀ = 25 individuals (alive in 1955)
N(t) = 500 individuals (existed in 2013)
t = 2013 - 1955 = 58 years

We need to solve for r. To do that, rearrange the formula:

r = [(N(t) / N₀)^(1/t)] - 1

Plug in the given values:

r = [(500 / 25)^(1/58)] - 1

r ≈ 0.029

So, the answer is (d) 0.029.

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Answer:

115

Step-by-step explanation:

Answer:

after discount sales price is rs 1997 which is 85 % of market price the market price = 1997/85×100 = 2350 ans.

Answer: -2,2

Step-by-step explanation:

The graph of the equation is added as an attachment

From the question, we have the following parameters that can be used in our computation:

y = 3x

The above expression is a linear equation

A linear equation is represented as

y = mx + c

Where

Slope = m and y-intercept = c

This means that

y = 3x has a slope of 3 and a y-intercept of 0

Next, we plot the graph

See attachment for the graph of the equation

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The probability that a randomly chosen unsatisfactory screen came from Philips is approximately 0.4444.

What is probability ?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.

Let's call the probability that a screen came from Philips "P".

know that 55% of the screens came from Corning Inc. and the rest came from Philips, so:

P = 1 - 0.55 = 0.45

We also know that the probability of getting an unsatisfactory screen from Corning Inc. is 1%, while the probability of getting an unsatisfactory screen from Philips is 4%:

P(unsatisfactory | Corning Inc.) = 0.01

P(unsatisfactory | Philips) = 0.04

Using Bayes' theorem, the probability that a randomly chosen unsatisfactory screen came from Philips can be calculated as:

P(Philips | unsatisfactory) = P(unsatisfactory | Philips) * P(Philips) / [P(unsatisfactory | Philips) * P(Philips) + P(unsatisfactory | Corning Inc.) * P(Corning Inc.)]

Substituting the values we have:

P(Philips | unsatisfactory) = 0.04 * 0.45 / [0.04 * 0.45 + 0.01 * 0.55] = 0.444444... or approximately 0.4444

Therefore, the probability that a randomly chosen unsatisfactory screen came from Philips is approximately 0.4444.

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The probability that a randomly chosen unsatisfactory screen came from Philips is 46.48%.

Let's call P(Philips) the probability that a randomly chosen screen came from Philips, and P(Unsatisfactory | Philips) the probability that a screen is unsatisfactory given that it came from Philips. Then we can use Bayes' theorem to find P(Philips | Unsatisfactory), the probability that a screen came from Philips given that it is unsatisfactory.

Bayes' theorem states:

P(A | B) = P(B | A) * P(A) / P(B)

where A and B are events, P(A | B) is the conditional probability of A given B, P(B | A) is the conditional probability of B given A, P(A) is the probability of A, and P(B) is the probability of B.

In this case,

A = "the screen came from Philips"

B = "the screen is unsatisfactory"

So:

P(Philips | Unsatisfactory) = P(Unsatisfactory | Philips) * P(Philips) / P(Unsatisfactory)

We are given:

P(Unsatisfactory | Philips) = 4% = 0.04

P(Philips) = 45% = 0.45 (since 55% came from Corning Inc.)

P(Unsatisfactory) = P(Unsatisfactory | Corning Inc.) * P(Corning Inc.) + P(Unsatisfactory | Philips) * P(Philips)

= 1% * 55% + 4% * 45% = 0.55% + 1.8% = 2.35%

So:

P(Philips | Unsatisfactory) = 0.04 * 0.45 / 0.0235 = 46.48%

So the probability that a randomly chosen unsatisfactory screen came from Philips is 46.48%.

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Answer: 1.5 bananas per sundae

Step-by-step explanation:

There was a total of 6 bananas used in making 4 sundaes.

To find the number of bananas used per sundae, you should divide the number of bananas by the number of sundaes.

= No. of bananas / No. of sundaes

= 6 / 4

= 1.5 bananas per sundae

a. The equation of a straight-line model relating cost (y) to the average length of hospital stay (x) is: D. y = β0 + β1x. b. Based on the given information, the least squares prediction equation on the printout is: Y = 11 + 1|x|.

In the given printout, the least squares prediction equation is represented as:

y = 11 + 1|x|

The equation can be broken down as follows:

The term "y" represents the predicted value of the cost (y).

The constant term "11" represents the y-intercept or the value of y when x is zero.

The term "1" represents the coefficient of the average length of hospital stay (x), indicating the change in y for a unit change in x.

The term "|x|" represents the absolute value of x. This indicates that the relationship between y and x is not a simple linear relationship but may vary based on the positive or negative value of x.

Overall, this equation suggests that the predicted cost (y) is determined by adding a constant value of 11 to the product of 1 and the absolute value of x.

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Answer:

1. 25+5c

2. -8y-16

3. (m+1)^9

4. -6a-15

5. 4y+12z

6. (2a+3b)^4

7. 23c

8. 8y+7x

9. 14a+16

10. 16m+16n

\(\mathsf\blue{♧ANSWER♧}\)

Area = length × width

\( \mathsf \green{4 \frac{1}{2} \times 2 \frac{1}{4} }\)

\( \orange \implies \mathsf \green{ \frac{9}{2} \times \frac{9}{4} }\)

\( \orange \implies \mathsf \green{ \frac{81}{8} = 10.125}\)

\( \mathsf \blue{10.125 \: square \: units}\)

Answer:

15.00 ≤ 1.39x

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The firm will shut down in the short run due to the inability to cover total costs with the marginal cost (MC) below both the average total cost (ATC) and the marginal revenue (MR). Thus, the correct option is :

(c) shut down in the short run.

To analyze the firm's situation, we need to consider the relationship between costs, revenues, and profits.

Option a. "maximize its profit by producing in the short run" is not correct because the firm is experiencing losses. When MC is below ATC, it indicates that the firm is making losses on each unit produced.

Option b. "minimize its losses by producing in the short run" is also not correct. While producing in the short run can help reduce losses compared to not producing at all, the firm is still unable to cover its total costs.

Option d. "realize a loss of $5 per unit of output" is not accurate based on the given information. The exact loss per unit of output cannot be determined solely from the given data.

Now, let's discuss why option c. "shut down in the short run" is the correct choice.

In the short run, a firm should shut down when it cannot cover its variable costs. In this scenario, MC is equal to AVC at $8, indicating that the firm is just able to cover its variable costs. However, MC is below both ATC ($12) and MR ($7), indicating that the firm is unable to generate enough revenue to cover its total costs.

By shutting down in the short run, the firm avoids incurring further losses associated with fixed costs. Although it will still incur losses equal to its fixed costs, it prevents additional losses from adding up.

Therefore, the correct option is c. "shut down in the short run" as the firm cannot cover its total costs and is experiencing losses.

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The following statements are true:

The general least-squares problem is to find an x that makes Ax as close as possible to b.

If b is in the column space of A, then every solution of Ax = b is a least-squares solution.

Any solution of \(A^TAX = A^Tb\) is a least-squares solution of Ax = b.

What is matrix?

In mathematics, a matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns. Matrices are used in many areas of mathematics, including linear algebra, calculus, and statistics.

The first statement is false. A least-squares solution of Ax = b is a vector x that minimizes the Euclidean norm ||b - Ax||, not necessarily making it smaller than any other norm.

The second statement is true. If b is in the column space of A, then Ax = b has at least one solution, and any solution is also a least-squares solution.

The third statement is true. Any solution of \(A^TAX = A^Tb\) can be written as \(x = (A^TA)^{-1}A^Tb\), and it is a least-squares solution of Ax = b because \((A^TA)^{-1}A^T\) is the left-inverse of A (if A has full column rank), and \((A^TA)^{-1}A^Tb\) is the projection of b onto the column space of A.

The fourth statement is false. A solution of \(A^TAX = A^Tb\) is not necessarily a solution of Ax = b, so it cannot be a least-squares solution of Ax = b.

The fifth statement is false. A least-squares solution of Ax = b is a vector x that satisfies the normal equation \(A^TA x = A^Tb\), not necessarily Ax = b. Moreover, x is the orthogonal projection of b onto Col A only if A has full column rank, in which case the projection matrix is \(A(A^TA)^{-1}A^T.\)

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Complete question : let a be an m x n matrix and b be a vector in rm. which of the following is/are true? (select all that apply)

A least-squares solution of Ax = b is a vector such that ||b - Ax|| ≤ b - Ax|| for all x in Rº.

The general least-squares problem is to find an x that makes Ax as close as possible to b.

If b is in the column space of A, then every solution of Ax = b is a least-squares solution.

Any solution of\(A^TAX = A^Tb\) is a least-squares solution of Ax = b.

A least-squares solution of Ax = b is a vector x that satisfies Ax = b, where is the orthogonal projection of b onto Col A.

Answer:

A

Step-by-step explanation:

Because it can only lift 2,200 pounds and that means it can lift 2,200 - 0 Pounds

Answer: 55.56 < 55.65

Step-by-step explanation:

The tenth place is bigger than the other number, and since the whole number is the same, then it would be the less than sign

Answer:

<

Step-by-step explanation:

the number on the right is more than the number on the left so the open part will be on the right

thanks for points have a blessed day :)

Answer:

0.071, 0.54, 75%

Step-by-step explanation:

75% is 0.75, so it’s 0.071, 0.54, then 75% hope that helps and have a great day!

Answer:

76.4%

Step-by-step explanation:

Total area of flag:

LW = (37)(28) = 1036

Total area of red:

LW = (12 + 21)(12 + 12) = (33)(24) = 792

Percent of red:

792/1036 * 100% = 76.4%

Answer:

→(37×28) unit²=1036unit²

→[{2×(12×12)}+{2×(21×12)}]

=[{2×144}+{2×252}]

=[288+504]=792unit²

→(792/1036)×100=0.7645×100=76.45%

76.45% is the right answer.

Answer:

x = -1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

3x + 4y = -3

x = -2y - 1

Step 2: Solve for y

Substitution

Step 3: Solve for x

Answer:

67 mph

Step-by-step explanation

A method you'd want to remember is r = d/t, or rate equals distance divided by time.

Since the Morris family drove 368.5 miles in 5.5 hours, you'd divide the distance by 5.5.

(368.5/5.5) = 67 miles per hour.

So their average rate is 67 miles per hour.

There are 10 cars with 4 doors and red color.

Given:

So,

Therefore, there are 10 cars with 4 doors and red color.

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In order to calculate the time it will take for Andrew to settle the loan, we can use the formula for compound interest. So, it will take Andrew approximately 5.22 years to settle the loan.

The formula is given as A = P(1 + r/n)^(nt), Where: A = the final amount, P = the principal (initial amount borrowed), R = the annual interest rate, N = the number of times the interest is compounded in a year, T = the time in years.

We know that Andrew borrowed R200 000 from a bank at an annual interest rate of 5.25% compounded quarterly and that he will make repayments of R6 000 at the end of every 3 months.

Since the first repayment will be made 3 months from now, we can consider that the initial loan repayment is made at time t = 0. This means that we need to calculate the value of t when the total amount repaid is equal to the initial amount borrowed.

Using the formula for compound interest: A = P(1 + r/n)^(nt), We can calculate the quarterly interest rate:r = (5.25/100)/4 = 0.013125We also know that the quarterly repayment amount is R6 000, so the amount borrowed minus the first repayment is the present value of the loan: P = R200 000 - R6 000 = R194 000

We can now substitute these values into the formula and solve for t: R194 000(1 + 0.013125/4)^(4t) = R200 000(1 + 0.013125/4)^(4t-1) + R6 000(1 + 0.013125/4)^(4t-2) + R6 000(1 + 0.013125/4)^(4t-3) + R6 000(1 + 0.013125/4)^(4t)

Rearranging the terms gives us: R194 000(1 + 0.013125/4)^(4t) - R6 000(1 + 0.013125/4)^(4t-1) - R6 000(1 + 0.013125/4)^(4t-2) - R6 000(1 + 0.013125/4)^(4t-3) - R200 000(1 + 0.013125/4)^(4t) = 0

Using trial and error, we can solve this equation to find that t = 5.22 years (rounded to 2 decimal places). Therefore, it will take Andrew approximately 5.22 years to settle the loan.

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Answer:

Step-by-step explanation:

the answer and steps are down below to check it out have a wonderful wonderful day and  apologize if the answer is wrong