17. Alex spent $125 to have a party. He
purchased a cake for $35 and spent
the rest of his money on 10 pizzas. Alex
used the equation 10p + 35 = 125 to
find the price, p, of one pizza. How
much did Alex pay for each pizza?
A
$16.00
B
$15.00
$9.00
D
$8.00

Answer:

x=3

Step-by-step explanation:

This is a vertical line.

Vertical lines are of the form x=  since the x value does not change

x=3

We can integrate this S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx over the given interval (1.1 to 4.4) to find the surface area.

We can evaluate the integral using numerical methods or a calculator to find the final answer.

We have,

To find the surface area of the revolution about the x-axis of the function f(x) = 5√x over the interval (1.1 to 4.4), we can use the formula for the surface area of revolution:

S = ∫(a to b) 2πy√(1 + (f'(x))²) dx

In this case,

f(x) = 5√x, so f'(x) = (d/dx)(5√x) = 5/(2√x).

Let's calculate the surface area:

S = ∫(1.1 to 4.4) 2π(5√x)√(1 + (5/(2√x)²) dx

Simplifying the expression inside the integral:

S = ∫(1.1 to 4.4) x 2π(5√x)√(1 + 25/(4x)) dx

Next, we can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.

To find the surface area of revolution about the x-axis of the function

f(x) = 5√x over the interval (1.1 to 4.4), we need to evaluate the integral:

S = ∫(1.1 to 4.4) 2π(5√x)√(1 + 25/(4x)) dx

Let's calculate the integral:

S = 2π ∫(1.1 to 4.4) (5√x)√(1 + 25/(4x)) dx

To simplify the calculation, let's simplify the expression inside the integral first:

S = 2π ∫(1.1 to 4.4) (5√x)√((4x + 25)/(4x)) dx

Next, we can distribute the square root and simplify further:

S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx

Thus,

We can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.

We can evaluate the integral using numerical methods or a calculator to find the final answer.

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Answer:

can we get a picture

Step-by-step explanation:

The present value (PV) of the investment today is approximately $2,965.05.

To find the present value (PV) of the investment today, we need to calculate the present value of each individual contribution and then sum them up. We can use the formula for the present value of an annuity to do this calculation.

The formula for the present value of an annuity is given by:

PV = C * [(1 - (1 + r)^(-n)) / r]

Where:

PV = Present Value

C = Cash flow per period

r = Interest rate per period

n = Number of periods

In this case, the cash flow per period (C) is $500, the interest rate per period (r) is 10.5% (or 0.105), and the number of periods (n) is 20 years.

Let's plug in these values into the formula and calculate the present value (PV):

PV = $500 * [(1 - (1 + 0.105)^(-20)) / 0.105]

Using a calculator, we can evaluate the expression inside the brackets:

PV = $500 * [(1 - 0.376889) / 0.105]

Simplifying further:

PV = $500 * [0.623111 / 0.105]

PV = $500 * 5.930105

PV = $2,965.05

Therefore, the present value (PV) of the investment today is approximately $2,965.05.

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Answer:

6

Step-by-step explanation:

Plato

Micahs money will be gone within about 13 weeks. He will, however, still have $5 left over.

The volume of a solid formed by revolving the region bounded above by the line is (932π/15)

To use the disk method, we need to integrate over the axis of revolution, which is the y-axis in this case. We can break the solid into vertical disks of thickness dy.

The radius of each disk is given by the distance between the y-axis and the curve \(x = y^2 - 1\). So the radius is:

\(r = y^2 - 1\)

The height of each disk is the difference between the y-coordinate of the top curve y = 3 and the y-coordinate of the bottom curve y = 1. So the height is:

h = 3 - 1 = 2

The volume of each disk is then:

\(dV = \pi r^2h dy\)

Substituting r and h, we have:

\(dV = \pi (y^2 - 1)^2 (2) dy\)

To find the total volume, we integrate over the range of y from 1 to 3:

\(V = \int_{1}^{3} \pi(y^2 - 1)^2 (2) dy\)

This integral can be simplified by expanding the squared term:

\(V = \int_{1}^{3} \pi (y^4 - 2y^2 + 1) (2) dyV = 2\pi \int_{1}^{3}(y^4 - 2y^2 + 1) dyV = 2\pi [(1/5)y^5 - (2/3)y^3 + y]^3_1\)

V = \(2\pi [(1/5)(3^5 - 1^5) - (2/3)(3^3 - 1^3) + (3 - 1)]\)

V = 2π [(1/5)(242) - (2/3)(26) + 2]

V = 2π [(242/5) - (52/3) + 2]

V = 2π [(726/15) - (260/15) + 30/15]

V = 2π [(466/15)]

V = (932π/15)

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Note: The full question is

Use the disk method or the shell method to find the volumes of the solids generated by revolving the region bounded by the graphs of the equations about the given lines. y = 1, y = 3, x = y^2 - 1.

Answer:

Choice 3

Step-by-step explanation:

A line of best fit always goes through the pattern of points.

Answer:

D

Step-by-step explanation:

your welcome!!!!!!! :D :)

If x and y be  i.i.d. unif(0, 1), then the covariance of x + y and x - y is zero.

Yes, x y are x y independent studysoup.

Here  x and y be i.i.d. unif(0, 1)

The i.i.d stands for independent and identically distributed

unif means that the uniformly distributed

Here x and y are i.i.d unif (0,1)

The covariance is defined as the relationship between the two random variables . Therefore, variance of one variable is equal to the change in another variable

Here we have to find the covariance of x + y and x - y

According to the properties of covariance

Cov(x+ y, x - y) = Cov (x, x) + Cov(y, x) - Cov(x, y) - Cov(y, y) = 0

Because Cov(x, x) = Cov (y, y)

Cov(y, x) = Cov(x, y)

Therefore, the covariance of x+y and x - y is 0.

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The required graph has been attached below that represents the inverse equation f(x) = 4x-1.

To graph the inverse equation f(x) = 4x - 1, we can follow these steps:

Replace f(x) with y:

y = 4x - 1

Switch the x and y variables: x = 4y - 1

Solve for y:

y = (x + 1) / 4

The graph of the original function f(x) = 4x - 1 is a line with a slope of 4 and a y-intercept of -1.

The graph of the inverse function is the reflection of this line over the line y = x, which means that the x and y coordinates of each point are swapped.

To plot points for the inverse function, we can choose some values of x and find the corresponding values of y using the equation y = (x + 1) / 4. For example:

x y

-3 -1/4

-2 0

-1 1/4

0 1/4

1 1/2

2 3/4

3 1

Therefore, the graph of the inverse equation f(x) = 4x - 1 is a line that passes through the points (-3, -1/4), (-2, 0), (-1, 1/4), (0, 1/4), (1, 1/2), (2, 3/4), and (3, 1).

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9514 1404 393

Answer:

  27/36

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that the tangent relation is ...

  Tan = Opposite/Adjacent

  tan C = AB/CB

  tan C = 27/36

Answer:

63 answers

Hope this helps :p

The total number of questions to be answered correctly so that 75% of answers are correct is 63.

∵ To pass the assessment, the percentage of questions to be answered correctly = 75.

That means, for every 100 questions, the number of correct answers required = 75

∴ For 1 question, the number of correct answers required= 75/100

                                                                                         =3/4

But, the total number of questions in the assessment = 84

∴ For 84 questions, the number of correct answers required = 3/4×84

                                                                                                     = 63

Hence, the total number of questions to be answered correctly so that 75% of answers are correct is 63.

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Answer:

The z-score is a statistical measure that describes how far a sample estimate is from the population parameter in standard deviation units. It is calculated by taking the difference between the sample estimate and the population parameter, and dividing it by the standard deviation of the sampling distribution of the estimate. The resulting z-score can be used to calculate the probability of observing a sample estimate as extreme or more extreme than the one obtained, assuming the null hypothesis is true.

In this case, the sample estimate is the proportion of individuals who watch television primarily through streaming services, which is 70%, and the population parameter is the proportion of all individuals who watch television primarily through streaming services, which is 56%. The sample size is 350. The null hypothesis is that there is no difference between the sample and population proportions, and the alternative hypothesis is that the sample proportion is greater than the population proportion.

To calculate the z-score, we need to determine the standard error of the sampling distribution of the proportion. The standard error is a measure of the variability of sample estimates due to random sampling variation. It is calculated by taking the square root of the population proportion times one minus the population proportion, divided by the sample size. In this case, the standard error is:

standard error = sqrt[(0.56 * (1 - 0.56)) / 350] = 0.028

The z-score can now be calculated as:

z-score = (0.7 - 0.56) / 0.028 = 5.19

This z-score is quite large, indicating that the sample estimate is more than 5 standard errors away from the population parameter. This suggests strong evidence against the null hypothesis, as the probability of observing a sample estimate as extreme or more extreme than the one obtained is very low, assuming the null hypothesis is true.

In other words, the result of observing a sample proportion of 70% or above is highly unlikely to have occurred by chance alone, assuming that the true population proportion is 56%. This result provides evidence in support of the alternative hypothesis, which states that the sample proportion is greater than the population proportion.

Answer:

false

a rhombus only has 4 equilateral sides and a square has 4 equilateral sides and all interior angles are right angles therefore that question is false

The probability that in a given race, her finishing time will be between 75 and 78 seconds, using the normal distribution, is of:

0.4772 = 47.72%.

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation for the finishing times are given as follows:

\(\mu = 75, \sigma = 1.5\)

The probability that in a given race, her finishing time will be between 75 and 78 seconds, is the p-value of Z when X = 78 subtracted by the p-value of Z when X = 75, hence:

X = 78:

Z = (78 - 75)/1.5

Z = 2

Z = 2 has a p-value of 0.9772.

X = 75:

Z = (75 - 75)/1.5

Z = 0

Z = 0 has a p-value of 0.5.

0.9772 - 0.5 = 0.4772 = 47.72%.

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The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer: 1331

Step-by-step explanation:

11^3 = 121 * 11 = 1331

Answer:

A.  \(f(n) =0.2n+4.8\)

B. The y intercept is 4.8

Step-by-step explanation:

Given

\(a_n= 5 + 0.2(n-1)\)

Solving (a): Write as a function.

To do this, we simply substitute f(n) for \(a_n\)

\(a_n= 5 + 0.2(n-1)\) becomes

\(f(n)= 5 + 0.2(n-1)\)

Open Bracket

\(f(n) = 5 + 0.2n-0.2\)

Collect Like Terms

\(f(n) =0.2n-0.2 + 5\)

\(f(n) =0.2n+4.8\)

B. The y intercept.

To get the y intercept, we set n to 0

i.e

\(f(0) =0.2 * 0+4.8\)

\(f(0) =0+4.8\)

\(f(0) =4.8\)

Hence, the y intercept is 4.8

Answer: B

Step-by-step explanation:

'Product' means to multiply, in this case, we are multiplying 50 and n.

Answer:

i think b

Step-by-step explanation:

The option that corresponds to a synthetic division for the expression (5x^2+9x-6)/(x+2) is B: -2 | 5 9 -6

On solving the provided question we can say that ordinary number the answer is  1.495 x 10^0

An ordinary number, also known as a standard form number or a decimal number, is a number that is written in the familiar base-10 format, with a whole number part and a fractional part separated by a decimal point.

A) 5.1 x 10¹ as an ordinary number is 51.

B) To work out the value of (1.7 x 10¹) × (8.5 x 10-²), we first need to multiply the two numbers:

(1.7 x 10¹) × (8.5 x 10-²) = 1.7 x 8.5 x 10¹ x 10-² = 14.95 x 10-1

To express the answer in standard form, we need to move the decimal point to the left so that there is only one non-zero digit to the left of it. 14.95 x 10-1 is 1.495 x 10^0. So the answer is 1.495 x 10^0

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Answer:

1.c

2.c

here is your answer

Answer:

if you asking 9th question so answer is...

(b) is the correct answer.

I guess this may help you...

The graph of the function \(f(x) = (9/4)x^2\) is a symmetric upward-opening parabola.

Overall, the graph represents a quadratic function with a positive leading coefficient, resulting in an upward-opening parabolic curve. The graph has been attached.

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Answer: 165 miles

Step-by-step explanation: In order to figure out the answer, you must do 55 x 3 because he drove for 3 hours at 55 mph so you could break it up and go 50 x 3 to equal 150 and 5 x 3 to equal 15 and add those to get 165.

Answer:

The answer is 165miles

Step-by-step explanation:

\(distance = speed \times time\)

d=55×3

d=165 miles

Answer:

\( \sqrt{ {13.5}^{2} - {8.6}^{2} } = \sqrt{108.29} = 7 \sqrt{2.21} = \frac{7}{10} \sqrt{221} \)

V = (1/2)(8.6)(.7√221)(22.4) = 1,002.33 square meters

The closest answer is 1,001.73 square meters.

The number of extra tables that you need to double the original seating capacity will be 7.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The seating capacity y for a banquet hall is represented by y = 8x + 56, where x is the number of extra tables you need.

If the no extra table is there. Then the value of 'y' will be

y = 8 (0) + 56

y = 56

Then the number of extra tables do you need to double the original seating capacity will be

8x + 56 = 2 × 56

8x = 56

x = 7

Then the number of extra tables that you need to double the original seating capacity will be 7.

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Answer: where is the answer choices

Step-by-step explanation:

Answer:

Its 2 on the x axis

Step-by-step explanation: