Order the set of numbers from least to greatest : 2.71 , 2 3/4 and 5 , 5/2​

The value of x that makes sense in this context is; 32.

The dimensions of the new garden is; 64 by 16.

The expression that represents the problem statement is;

x² = (2x)(x – 16)

Expanding the bracket gives us;

x² = 2x² – 32x

x² - 32x = 0

x(x - 32) = 0

Thus; x = 0 or x = 32

x can't be 0 and as such the value of x is 32.

Thus;

The length of the new garden is; l = 2x = 64.

The width of the new garden is; w = x - 16 = 32 - 16 = 16

The dimensions of the new garden are therefore; 64 by 16

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Answer:

y = -3/1x + 2

Step-by-step explanation:

1. Find the slope

The points I will use are (-1,5) and (0,2), where x1 = -1, y1 = 5, x2 =0, and y2 =2.

y2-y1/x2-x1

2-5/0-(-1) = -3/1

2. Find the y-intercepy

y = mx + b

You can use any x or y point. I'll use (-1,5)

m= slope, which is -3/1

5= -3/1(-1) +b

5= 3 + b

Subtract 3 from 5 and 3 to get 2=b.

3. Rewrite in slope-intercept form

y = -3/1x + 2

Answer:

7 tickets?

Step-by-step explanation:

srry if its wrong. i suck at math

Answer:

Reciprocal

Multiplicative inverse

Additive inverse

Answer:

The payment for driving 80 miles is $78

Step-by-step explanation:

Mathematical model

Mathematical models are used in disciplines like natural sciences and engineering, among many others.

The data provided in the question allows building a model for the charges of the car rental, knowing there are two fees:

A fixed charge of $50

A variable charge or $0.35 per mile driven.

Part A

Using m as the number of miles driven for the day, the model for the payment for the car rental is:

P(m)=50+0.35m

Part B

Find the payment if the car is driven m=80 miles:

P(80)=50+0.35*80

P(80)=50+28=78

The payment for driving 80 miles is $78

If area of "square-field" is 40000 ft square, and Mr. Blackburn is putting a fence diagonally in field, then the length of fence be is 282.84 ft.

The area of the square-field is = 40000 ft²,

We equate this with area formula,

We get,

⇒ (side)² = 40000,

⇒ side = 200,

substituting the side-length as 200 ft, in the diagonal formula,

we get,

⇒ Length of diagonal of field is = (side)√2,

⇒ Length of diagonal of field is = (200)√2,

⇒ Length of diagonal of field is ≈ 282.84 ft.

Therefore, the length of the fence of the field is 282.84 ft.

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Answer:

3(2x + 7) = 6(x +4) - 3

<=> 6x + 21 = 6x + 24 - 3

<=> 21 = 21

=> this problem is infinite solution

Step-by-step explanation:

Answer:

Segment QU is congruent to segment TU

Step-by-step explanation:

Observations from the given picture,

1). QT║RS

2). QU ≅ TU

3). m∠QUR = m∠TUS

From these observations 2nd observation is the answer required.

Segment QU is congruent to segment TU

Answer:

10

Step-by-step explanation:

PEMDAS

The percent increase in the cost of the uniform from last year to this year is 25%.

To find the percent increase in the cost of the uniform from last year to this year, we need to calculate the difference between the two prices, divide it by the original price, and then multiply by 100 to express the result as a percentage.

The difference between this year's price and last year's price is:

$65 - $52 = $13

The original price (last year's price) is $52.

So the percent increase in the cost of the uniform is:

percent increase = (difference / original price) x 100

percent increase = ($13 / $52) x 100

percent increase = 0.25 x 100

percent increase = 25%

Therefore, the percent increase in the cost of the uniform from last year to this year is 25%.

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Answer:

134

Step-by-step explanation:

2³×16¾×2º​

go to 2³ x 67/4 x 1 any non zero expression raised to the power of 0 equals 1

multiplied 1 to both sides 2³ x 67/4 then go to 2³ x 67/ 2^2

then your left with 2 x 67 = 134

Answer:

3x + 5y = -2 is x= −5 /3 y+ −2 /3

2x - y = 3 is x= 1 /2 y+ 3 /2

Step-by-step explanation:

im pretty sure the answer is C

The maximum revenue is $4000000, we have to determine the price \(p\) that maximizes the revenue and calculate the maximum revenue as well.

For finding the price \(p\) that maximizes the revenue, we can apply the following steps:

Find the first derivative of \(R(p)\).

\(R'(p) = -8p + 8000\)

Find the critical points of \(R(p)\).

To find the critical points, we will equate the first derivative to zero.

(R'(p) = -8p + 8000 = 0\

)Solving this equation for p,\(-8p + 8000 = 0\)\(8p = 8000\)p = 1000

Therefore, p = 1000 is the critical point.

heck the nature of critical points for maxima/minima

To check the nature of critical points, we will find the second derivative of \(R(p)\).

\(R''(p) = -8\)At p = 1000,\(R''(1000) = -8 < 0\)

Therefore, p = 1000 is a point of maximum revenue.

The maximum revenue is given by\(R(1000)

= -4 \times 1000^2 + 8000 \times 1000\)\(R(1000)

= -4 \times 1000000 + 8000000\)\(R(1000)

= 4000000\)

Therefore, the maximum revenue is $4000000.

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Answer:

10%

Step-by-step explanation:

with 99% confidence, the difference in proportions of marriages ending in divorce in the first year between Los Angeles and New York falls within the interval (-0.030171, 0.050171).

To construct a confidence interval for the difference in proportions between Los Angeles and New York marriages that end in divorce in the first year, we can use the formula for the confidence interval for the difference between two proportions:

CI = (p1 - p2) ± z * sqrt((p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2))

where:

p1 and p2 are the sample proportions of marriages that made it past the first year in Los Angeles and New York, respectively.

n1 and n2 are the sample sizes for Los Angeles and New York, respectively.

z is the z-score corresponding to the desired confidence level. For a 99% confidence level, z ≈ 2.576 (obtained from the standard normal distribution table).

Let's calculate the confidence interval step by step:

p1 = 196/200 = 0.98 (proportion in Los Angeles)

p2 = 194/200 = 0.97 (proportion in New York)

n1 = 200 (sample size in Los Angeles)

n2 = 200 (sample size in New York)

z = 2.576 (for a 99% confidence level)

Substituting these values into the formula:

CI = (0.98 - 0.97) ± 2.576 * sqrt((0.98 * (1 - 0.98) / 200) + (0.97 * (1 - 0.97) / 200))

CI = 0.01 ± 2.576 * sqrt((0.98 * 0.02 / 200) + (0.97 * 0.03 / 200))

CI = 0.01 ± 2.576 * sqrt(0.000098 + 0.000145)

CI = 0.01 ± 2.576 * sqrt(0.000243)

CI = 0.01 ± 2.576 * 0.015590

CI ≈ 0.01 ± 0.040171

CI ≈ (-0.030171, 0.050171)

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Answer:

Slope = 5/2

Step-by-step explanation:

Constant c is found by integrating f(x) over its range and setting it equal to 1/(6/θ + 25/2). Moment estimator for e is E(X).

To find the value of the constant c, we need to use the fact that the total area under the probability density function f(x) is equal to 1. So we have

∫(-1/θ, 5/θ) c(1+θx) dx = 1

Integrating with respect to x, we get

[cx + (θ/2) x^2] | (-1/θ, 5/θ) = 1

Plugging in the limits of integration, we get

[c(5/θ - (-1/θ)) + (θ/2)(5/θ)^2 - (θ/2)(-1/θ)^2] = 1

Simplifying, we get

c(6/θ) + (25/2) = 1

Solving for c, we get

c = 1/(6/θ + 25/2)

The moment estimator for e is the sample mean of e raised to a certain power. In this case, we want to find the moment estimator for e, so we need to find the first moment of e. We have

E(X) = ∫(-1/θ, 5/θ) x f(x) dx

Plugging in the expression for f(x), we get

E(X) = ∫(-1/θ, 5/θ) x c(1+θx) dx

Integrating with respect to x, we get

E(X) = [c/2 x^2 + (cθ/3) x^3] | (-1/θ, 5/θ)

Plugging in the limits of integration and simplifying, we get

E(X) = (55c/6)θ

So the moment estimator for e is

e^ = (1/n) ∑(i=1 to n) Xi

where Xi are the observed values of X.

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--The given question is incomplete, the complete question is given

" Consider the probability density function f (x)=c(1+θx), -15x51 (a) Find the value of the constant c. (b) What is the moment estimator for e?"--

0.0668 is the probability that 16 randomly selected packages will have a sample mean weight in excess of 16.075 ounces.

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes. Statistics is the study of events that follow a probability distribution. It is based on the likelihood that something will occur. The justification for probability serves as the main foundation for theoretical probability. For instance, the theoretical chance of getting a head when tossing a coin is 12. The probability is calculated by dividing the total number of possible outcomes by the number of possible ways the event could occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood of an event by the likelihood that it won't.

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Answer:

11

Step-by-step explanation:

if the some of a number is an restrocal is 122 upon 11 find the integers value of x let the number bees two values of x i e 11 and 1 upon 11 are possible hence required in future value of x is 11

Answer:

$21.81

Step-by-step explanation:

add the reduced number to the new number

Answer:

21.81

Step-by-step explanation:

add 1.05 to 20.76

The midline theorem in Geometry claims that cutting along the midline of a triangle creates a segment that is parallel to the base and half as long.

It is a theorem used in coordinate geometry and calculus. If P1(x1, y1) and P2(x2, y2) are the coordinates of a line, then the midpoint formula is given as Midpoint = [(x1 + x2)/2, (y1 + y2)/2]

Property of the midpoint theorem are:

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Answer:

\(x\leq 2\)

Step-by-step explanation:

Since the bot is filled in it is going to include \(\leq\) or \(\geq\)

Since the arrow is pointing to numbers below 2, 2 must be bigger. This is the answer:

\(x\leq 2\)

1. The present value of the security is approximately $7,224.45.

2. The annual interest rate they must earn is approximately 14.75%.

3. The present value of the investment is approximately $825.05 and the future value is approximately $1,319.41.

4. The most expensive car they can afford if financed for 48 months is approximately $21,875.88 and if financed for 60 months is approximately $25,951.46.

1. To calculate the present value of a security that will pay $14,000 in 20 years with an annual interest rate of 3%, we can use the formula for present value:

Present Value = \(\[\frac{{\text{{Future Value}}}}{{(1 + \text{{Interest Rate}})^{\text{{Number of Periods}}}}}\]\)

Present Value = \(\[\frac{\$14,000}{{(1 + 0.03)^{20}}} = \$7,224.45\]\)

Therefore, the present value of the security is approximately $7,224.45.

2. To determine the annual interest rate your parents must earn to reach a retirement goal of $1,300,000 in 19 years, we can use the formula for compound interest:

Future Value =\(\[\text{{Present Value}} \times (1 + \text{{Interest Rate}})^{\text{{Number of Periods}}}\]\)

$1,300,000 = \(\[\$260,000 \times (1 + \text{{Interest Rate}})^{19}\]\)

\(\[(1 + \text{{Interest Rate}})^{19} = \frac{\$1,300,000}{\$260,000}\]\)

\(\[(1 + \text{{Interest Rate}})^{19} = 5\]\)

Taking the 19th root of both sides:

\(\[1 + \text{{Interest Rate}} = 5^{\frac{1}{19}}\]\\\\\[\text{{Interest Rate}} = 5^{\frac{1}{19}} - 1\]\)

Interest Rate ≈ 0.1475

Therefore, your parents must earn an annual interest rate of approximately 14.75% to reach their retirement goal.

3. To calculate the present value and future value of the investment with different cash flows and a 12% annual interest rate, we can use the present value and future value formulas:

Present Value = \(\[\frac{{\text{{Cash Flow}}_1}}{{(1 + \text{{Interest Rate}})^1}} + \frac{{\text{{Cash Flow}}_2}}{{(1 + \text{{Interest Rate}})^2}} + \ldots + \frac{{\text{{Cash Flow}}_N}}{{(1 + \text{{Interest Rate}})^N}}\]\)

Future Value = \(\text{{Cash Flow}}_1 \times (1 + \text{{Interest Rate}})^N + \text{{Cash Flow}}_2 \times (1 + \text{{Interest Rate}})^{N-1} + \ldots + \text{{Cash Flow}}_N \times (1 + \text{{Interest Rate}})^1\)

Using the given cash flows and interest rate:

Present Value = \(\[\frac{{150}}{{(1 + 0.12)^1}} + \frac{{150}}{{(1 + 0.12)^2}} + \frac{{150}}{{(1 + 0.12)^3}} + \frac{{250}}{{(1 + 0.12)^4}} + \frac{{350}}{{(1 + 0.12)^5}} + \frac{{500}}{{(1 + 0.12)^6}} \approx 825.05\]\)

Future Value = \(\[\$150 \times (1 + 0.12)^3 + \$250 \times (1 + 0.12)^2 + \$350 \times (1 + 0.12)^1 + \$500 \approx \$1,319.41\]\)

Therefore, the present value of the investment is approximately $825.05, and the future value is approximately $1,319.41.

4. To determine the maximum car price that can be afforded with a $5,000 down payment and monthly payments of $300, we need to consider the loan amount, interest rate, and loan term.

For a 48-month loan:

Loan Amount = $5,000 + ($300 \(\times\) 48) = $5,000 + $14,400 = $19,400

Using an APR of 9% and end-of-month payments, we can calculate the maximum car price using a loan calculator or financial formula. Assuming an ordinary annuity, the maximum car price is approximately $21,875.88.

For a 60-month loan:

Loan Amount = $5,000 + ($300 \(\times\) 60) = $5,000 + $18,000 = $23,000

Using the same APR of 9% and end-of-month payments, the maximum car price is approximately $25,951.46.

Therefore, with a 48-month loan, the most expensive car that can be afforded is approximately $21,875.88, and with a 60-month loan, the most expensive car that can be afforded is approximately $25,951.46.

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Answer:

A. 1,112

Step-by-step explanation:

The manufacturer needs to sell approximately 1,112 chairs to realize a profit of $24,850.

Option A is the correct answer.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example: so

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Let's start by finding the profit per chair:

So,

Profit per chair = Selling price - Production cost

= $55.75 - $16.91

= $38.84

Next, we need to determine how many chairs the manufacturer needs to sell to make a profit of $24,850:

Profit = Profit per chair x Number of chairs sold - Overhead costs

$24,850 = $38.84x - $18,340

$43,190 = $38.84x

x = 1,112.49

Rounding to the nearest whole number, the manufacturer needs to sell approximately 1,112 chairs to realize a profit of $24,850.

Therefore,

The manufacturer needs to sell approximately 1,112 chairs to realize a profit of $24,850.

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