I need answers for number 1.

The polygon which on rotated gives the given cylinder is a rectangle with dimensions 10 inches × 9 inches.

Given a cylinder with the diameter of the base 18 inches and the height of the cylinder 10 inches.

This cylinder is formed by rotating some polygon around YZ.

The polygon must be a rectangle which has the height or the length equal to the height of the cylinder.

So length = 10 inches

The width of the rectangle will be half of the diameter.

Width = 18/2 = 9 inches

Hence the rotated polygon is a rectangle with length 10 inches and width 9 inches.

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Answer:

22 is the jsksnenekeond snLL

Answer: The answer is B

Step-by-step explanation:

Answer:

36 people would order chicken.

Step-by-step explanation:

Case I: (50 People in Total)

Total Number of People Ordering=8+10+18+14=50

Percentage of People ordering chicken=people ordering chicken/total number of people=18/50=0.36%

Case II: (100 People in Total)

Number of People ordering chicken=percentage of people ordering chicken x total number of people=0.36 x 100=36

The formula to solve Euler's Formula for e, which relates the number of vertices v, the number of edges e, and the number of faces f, of a polyhedron is e = v + f - 2.

Euler's Formula, v − e + f = 2, is a relationship between the number of edges e, the number of vertices v, and the number of faces f in a polyhedron. The formula can be rearranged to solve for e which is e = v + f - 2. This formula can be used to find the number of edges in a polyhedron when the number of vertices and faces are known. Therefore, this formula is used to calculate the number of edges in a polyhedron. The formula states that the number of vertices, minus the number of edges, plus the number of faces is always equal to 2.

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Rafael will take 75 minutes to run 10 miles at the same rate.

Solution:

We know that Rafael can run 4 miles in 30 minutes.

So, we can find his pace, as follows:

30 minutes/ 4 miles = 7.5 minutes per mile.

So, for 10 miles he will take 7.5* 10 = 75 minutes.

Hence, it will take Rafael 75 minutes to run 10 miles.

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Answer:

Perpendicular refers to that which has a right angle in relation to the intersection of two lines or planes. ... As seen in the Cartesian plane, what defines a line as perpendicular is its point of intersection with another line.

Step-by-step explanation:

Answer:

Can't read it.

Answer:

answer = profit 14.166%

the total amount of money in the account after 6 years is approximately $3,617.08.

What is simple interest?

A quick and simple way to figure out interest on money is to use the simple interest technique, which adds interest at the same rate for each time cycle and always to the initial principal amount. Any bank where we deposit our funds will pay us interest on our investment. One of the different types of interest charged by banks is simple interest. Now, before exploring the idea of basic curiosity in further detail,

a. The formula for the amount A after t years, with an initial principal P, an annual interest rate r, and n times compounded per year is given by:

\(A = P(1 + r/n)^nt\)

In this case, P = $3000, r = 0.025 (2.5% expressed as a decimal), n = 2 (compounded semiannually), and t is the number of years. So the function A(t) can be written as:

\(A(t) = 3000(1 + 0.025/2)^2t\)

b. To find the total amount of money in the account after 6 years, we need to evaluate A(6):

\(A(6) = 3000(1 + 0.025/2)^{(16)\)

≈ $3,617.08

Therefore, the total amount of money in the account after 6 years is approximately $3,617.08.

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Answer:

Left box:  1/2n

Right box = 2n - 22

Step-by-step explanation:

Since we want one-half the number and n represents the unknown number, we have 1/2n on the left-hand side of the equation.

Thus, you want to put 1/2n in box on the left.

Twice the number and 22 less than this is given by:  y: 2n - 22 less than this means we subtract.  Thus, we have 2n - 22 as the numerator on the right hand side of the equation.

Thus, you want to put 2n - 22 in the box on the right.

The single transformation that maps a onto triangle b is a rotation of 180 degrees across the common vertex of triangles a and b

From the figure, we have the following highlights

The above highlights mean that the single transformation that maps a onto triangle b is a rotation of 180 degrees across the common vertex of triangles a and b

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Answer:

24

Step-by-step explanation:

5+5+7+7

Answer:

24 feet

Step-by-step explanation:

7 times 2 is 14

5 times 2 is 12

14 plus 12 is 24

The required white effective interest rate is 0.71% more than his nominal interest rate.

Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.

Here,

White Effective interest R,
\(R=(1+i/m)^m)-1\\R=(1+0.1362/4)^4)-1\\R =0.1433*100=\)
R = 14.33 percent

So

Difference in interest = 14.33%-13.62%
                                    =0.71%

Thus, the required white effective interest rate is 0.71% more than his nominal interest rate.

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Answer:

no photo

Step-by-step explanation:

we need a photo to decide if answer is correct or not

The probability of having 7 boys in a family with 7 children is 1 out of 128, as there is only one favorable outcome out of 128 total possible outcomes.

To find the probability, we need to calculate n(E) and n(S).

In this case, event E represents the scenario where all 7 children are boys. The sample space S consists of all possible permutations of boys and girls for the 7 children, which is 2^7 = 128.

This is because each child has 2 possibilities (boy or girl), and we multiply these possibilities for all 7 children.

Since event E includes only one specific outcome (all boys), n(E) is equal to 1. Therefore, both n(E) and n(S) are 1 and 128, respectively. The probability of having 7 boys is given by n(E)/n(S) = 1/128.

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The chance that the hospital will run out of sleeping pills on any given day is 0.5000 (or 0.5000 with four decimal places).

To calculate the chance that the hospital will run out of sleeping pills on any given day, we can use the normal distribution and Z-score.

First, let's calculate the Z-score using the formula:

Z = (X - μ) / σ

Where:

X = consumption rate per day (1,155 pills)

μ = average consumption rate per day (1,155 pills)

σ = standard deviation (81 pills)

Z = (1,155 - 1,155) / 81

Z = 0

Now, we need to find the probability associated with this Z-score. However, since the demand for sleeping pills can be considered continuous and not discrete, we need to calculate the area under the curve from negative infinity up to the Z-score. This represents the probability of not running out of sleeping pills.

We discover that the region to the left of a Z-score of 0 is 0.5000 using a basic normal distribution table or statistical software.

To find the probability of running out of sleeping pills, we subtract this probability from 1:

Probability of running out of sleeping pills = 1 - 0.5000

Probability of running out of sleeping pills = 0.5000

Therefore, on any given day, the hospital has a 0.5000 (or 0.5000 with four decimal places) chance of running out of sleeping tablets.

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When the p-value for the difference between the observed experimental outcomes and the expected outcome is less than 5 percent (< 0.05), the experimental results a  to be statistically significant and different from the expected outcome.

The P value is defined as the probability of obtaining a result equal to or more extreme than what was observed. The P stands for probability. The p-value represents the probability of the occurrence of a given event. To put it more simply the p-value refers to the percentage of experiments in which the sample differences are larger or smaller than an observed value.

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Answer:

(2, 3)

Step-by-step explanation:

Use substitution method

heres the answer for your question

Answer:

Step-by-step explanation:

f(x) = - x + 6

g(x) = 4x - 6

In order to find g(f(x)) substitute f(x) into g(x) that's for every x in g(x) replace it with f(x)

That's

We have the final answer as

Hope this helps you

Answer:

Step-by-step explanation:

i ate my dog than did the math

19 cars will pass the intersection in 1 hour.

Division is used to split a number into equal parts.

Given is that 57 cars pass through an intersection in 3 hours.

It is given that 57 cars pass through an intersection in 3 hours.

So, we can write that in 1 hour, the number of cars that will pass are -

{x} = 57/3

{x} = 19

Therefore, 19 cars will pass the intersection in 1 hour.

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1 - x - x² - x³ - x⁴ - x⁵ - x⁶ can be shown generating number of ways considering number of die rolls as infinite series and showing that expression is equivalent to the generating function.

To show that (1 - x - x² - x³ - x⁴ - x⁵ - x⁶)-¹ is the generating function for the number of ways a sum of r can occur if a die is rolled any number of times, we'll follow these steps:

1. Identify the generating function for a single die roll.
2. Consider the infinite series representing any number of die rolls.
3. Show that the given expression is equivalent to the generating function.

Step 1: For a single die roll, the possible outcomes are 1, 2, 3, 4, 5, and 6. The generating function representing this is:
F(x) = x + x²+ x³ + x⁴+ x⁵+ x⁶

Step 2: To consider any number of die rolls, we want to find the generating function that represents the sum of outcomes for an infinite number of rolls. This is the sum of the geometric series with a common ratio F(x), so the infinite series is:

G(x) = 1 + F(x) + F(x)² + F(x)³ + ...

Step 3: To show that the given expression is equivalent to the generating function, we want to show that G(x) = (1 - x - x² - x³- x⁴- x⁵ - x⁶)-¹.

We know that the sum of an infinite geometric series is:

Sum = 1 / (1 - r)

Here, r = F(x), so the sum of the series G(x) is:

G(x) = 1 / (1 - F(x))

Now, substitute F(x) from Step 1:

G(x) = 1 / (1 - (x + x²+ x³+ x⁴+ x⁵ + x⁶))

G(x) = 1 / (1 - x - x² - x³- x⁴- x⁵- x⁶)

Thus, we have shown that (1 - x - x²- x³ - x⁴ - x⁵ - x⁶)-¹ is the generating function for the number of ways a sum of r can occur if a die is rolled any number of times.

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We must solve for x using the addition principle, the equation is as follows

In conclusion, the answer is x = -9

An equation that makes it easier to find the amount of gas left in the tank, x, if we know the car had traveled d miles is x = 16 - (d / 30)

A.) To determine the number of gallons left in the tank when the car has traveled a certain distance on the highway, we need to use the gas mileage of 30 miles per gallon.

1.) When the car has traveled 90 miles, we can calculate the number of gallons left using the equation:

Gallons left = Total gallons - (Distance traveled / Gas mileage)

= 16 - (90 / 30)

= 16 - 3

= 13 gallons left.

2.) When the car has traveled 246 miles, we can apply the same equation:

Gallons left = 16 - (246 / 30)

= 16 - 8.2

≈ 7.8 gallons left.

B.) To write an equation that makes it easier to find the amount of gas left in the tank (x) when the car has traveled a certain distance (d) miles, we can use the gas mileage of 30 miles per gallon. The equation is:

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The expression x to the power of 3 times x to the power of 3 times x to the power of 3 is not equivalent to an expression x to the power of 3 times 3 times 3.

For given question,

We have been given a statement 'x to the power of 3 times x to the power of 3 times x to the power of 3 '

We can write above statement in expression form as,

x³ × x³ × x³

Now, we simplify above expression.

We know that the product rule of exponents states that, 'To multiply expressions with the same base, add the exponents while keeping the base the same.'

So, x³ × x³ × x³ = \(x^{3+3+3}\)

⇒  x³ × x³ × x³ = \(x^{9}\)                    ....................................(1)

Also, we have been given a statement that 'x to the power of 3 times 3 times 3'

We can write above statement in expression form as,

\(x^{3\times 3\times 3}\)

Now we simplify above expression.

By power of a product rule of exponents,

\(x^{3\times 3\times 3}=x^{27}\)                           .....................................(2)

From (1) and (2),

x³ × x³ × x³ ≠ \(x^{3\times 3\times 3}\)

Therefore, the expression x to the power of 3 times x to the power of 3 times x to the power of 3 is not equivalent to an expression x to the power of 3 times 3 times 3.

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The value of the expressions will be:

1. -13.

2. 4

3. -9

4. 27

5. 0

It should be noted that this is an expression. In this case:

minus × minus = plus

plus × minus = minus

1. (-15) - (-2)

= -15 + 2

= -13

2. (-3( - (-7)

= -3 + 7

= 4

3. 4 - 13

= -9

4. 5 - (-22)

= 5 + 22

= 27

5. (-15) - (-15)

= -15 + 15.

= 0

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