S = 2πr(r + h)
Find the total surface area of a cylinder with radius 3 and height 5.
Enter an exact answer in terms of pie

The rental car is getting approximately 37.56 miles per gallon.

To convert kilometers per liter (km/l) to miles per gallon (mpg), you can use the following conversion factor:

1 km/l ≈ 2.82475 mpg

Therefore, if your rental car is getting 13.3 km/l of gasoline, the equivalent value in miles per gallon would be:

13.3 km/l x 2.82475 mpg ≈ 37.56 mpg

So, your rental car is getting approximately 37.56 miles per gallon.

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Answer:

-32

Step-by-step explanation:

Let the number be x.

\(2(x+8)=-48 \\ \\ x+8=-24 \\ \\ x=-32\)

Answer:

The answer is (a²+1)(2a+1)

Answer:

x=25

because of similarity of triangles

\( \frac{x}{20} = \frac{15}{12} \)

GF || MN, then <F=<M and <G=<N and we have the similarity of triangles

Answer:

The Trench or The Mariana Trench is the deepest part of the ocean.

Answer:

B) trench

Step-by-step explanation:

The deepest part of the ocean is called the Challenger Deep and is located beneath the western Pacific Ocean in the southern end of the Mariana Trench

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Answer:

the answer to your question is 3

Answer:

A: 24

B: 3

C: -1

D: 12

Step-by-step explanation:

The total number of workers that were studied can be found to be 139,340,000.

The percent of workers unemployed would be 5. 4 %.

Percentage of unemployed men is 5. 6 % and unemployed women is 5. 1%.

Number of employed workers :

= 74,624,000 + 64, 716, 000

= 139,340,000

Percentage unemployed :

= ( 4, 209,000 + 3,314,000 ) / 139,340,000

= 5. 4 %

Percentage of unemployed men :

= 4,209,000 / 74,624,000

= 5.6 %

Percentage of unemployed women:

= 3,314,000 / 64, 716, 000

= 5. 1 %

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The full question is:

a. How many workers were studied?

b. What percent of the workers were unemployed?

c. Compare the percent unemployed for the men and the women.

Answer:

3 to 8

Step-by-step explanation:

There are 24 total shapes, 9 of which are circles. So we have the ratio 9 to 24, or 3 to 8.

Answer:

f(2)= -6

Step-by-step explanation:

use -3<x=<2 condition

Number of countries would west Virginia be expected to have is  18 countries

The number of campgrounds that North Dakota has = 465 campgrounds

The number of countries = 12 countries

The number of campgrounds that West Virginia has = 711 campgrounds

Given that the North Dakota was proportional to West Virginia in the number of campgrounds to counties.

The proportion will be

465 / 12 = 711 / x

Divide the terms

38.75 = 711 / x

x = 711 / 38.75

Divide the terms

x = 18.4

x ≈ 18 countries

Hence, number of countries would west Virginia be expected to have is  18 countries

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INFORMATION:

We have a graph and we must determine if it is a function using the vertical line test

STEP BY STEP EXPLANATION:

To determine it, we need to know that the vertical line test is a visual way to determine if a curve is a graph of a function or not.

If all vertical lines intersect a curve at most once then the curve represents a function.

Now, applying the vertical line test to our graph

We can see that all vertical lines intersect the graph at most once, so y is a function of x

ANSWER:

Yes

The  answer of this queation :∫ (4 + √x + x/x) dx = 4x + 2/3 x^(3/2) + x + C

where C = C1 + C2 + C3 is the constant of integration for the entire expression.

eparate integrals:

∫ 4 dx + ∫√x dx + ∫ x/x dx

The first two integrals can be easily integrated as follows:

∫ 4 dx = 4x + C1, where C1 is a constant of integration.

∫√x dx = 2/3 x^(3/2) + C2, where C2 is a constant of integration.

For the third integral, note that x/x simplifies to 1 for all nonzero x.

∫ x/x dx = ∫ 1 dx = x + C3, where C3 is a constant of integration.

Putting it all together, we have:

∫ (4 + √x + x/x) dx = 4x + 2/3 x^(3/2) + x + C

where the integration constant for the entire statement is C = C1 + C2 + C3.

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The solution to the equation given by M * M * M = 729 is 9

An equation is an expression that shows the relationship between two or more numbers and variables using mathematical operations. An equation can be linear, quadratic, cubic and so on, depending on the degree of the variable.

Given the equation:

M.M.M = 729

This gives:

M * M * M = 729

M³ = 729

Taking the cube root of both sides:

∛M³ = ∛729

M = 9

The solution to the equation is 9

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When creating a scatterplot, it is important to carefully consider which variable to place on the vertical and horizontal axes.

The vertical axis is commonly used to represent the response or dependent variable, while the horizontal axis is used for the explanatory or independent variable.

However, when dealing with a categorical variable, there is no inherent order or numerical relationship between the categories. Thus, it does not make sense to use either axis as a response or explanatory variable. In this case, the categorical variable should be placed on either axis based on what makes the most sense for the data being displayed.

If there is an explanatory variable and a response variable, the explanatory variable should be placed on the horizontal axis and the response variable on the vertical axis. This is because the explanatory variable is usually the variable that is being manipulated or controlled, while the response variable is the one that is being measured or observed.

Overall, the placement of variables on the axes of a scatterplot should be based on the nature of the data being displayed and the relationship between the variables being studied.

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Step-by-step explanation:

8 cm² is the correct answer for that question

Given:

Board Length = 3/4

6 equal pieces = 3/4 ÷6

= 3/4 × 1/6

= 1/4 × 1/2

= 1/8

Therefore each equal piece will be 1/8 feet long

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Queremos ver cuantos miembros hay en la familia, veremos que son 10 en total.

Primero conocemos al señor y la señora Mostaza, es decir, tenemos dos personas.

Luego se nos dice que tienen 6 hijos, entonces ahora tenemos:

6 + 2 = 8 personas en total.

Finalmente, sabemos que tanto el señor Mostaza como la señora Mostaza tienen un hermano, es decir, sumamos otras 2 personas para obtener:

8 + 2 = 10 personas en total.

Así podemos concluir que hay 10 personas en la familia.

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Answer:

Option A is correct.

The surveys are biased because people chose to respond or not.

Step-by-step explanation:

When humans are given the choice whether to participate in a poll like in this question, most often than not, the poll is biased.

This is because only the people or set of people who feel strongly the most about the subject matter of the poll will participate in the poll. This favours the group that disagrees as this group, if given the choice to express their opinion, will most likely be the set of people that will readily express their discontent.

Discontent is more visibly and strongly expressed in humans.

In order to remove this bias, people should have been chosen at random and their responses recorded.

The two other options are not absolutely correct, these are the reasons.

b. Because of the large sample size, the results are most accurate of all members of the community.

Like I expressed above, the base of the sample is flawed and biased as it will most likely favour a group of the population that don't agree with the law. So, no matter how large the sample is, that type of bias makes the poll unreliable.

c. The same sampling methods were used for both polls, demonstrating reliability.

The sampling method is biased, so, it doesn't matter if it is repeated for both polls. it most likely will not represent the correct general consensus about the new traffic law.

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The new dimension of the rectangular field are 45 ft by 120ft.

If the field has originally dimensions length L and width W, and we apply a scale factor K, then the new dimensions of the rectangle are:

lenght = K*L

width = K*W

In this case the original dimensions are:

L = 30ft

W = 80ft

And the scale factor is K = 1.5, then the new dimensions are:

L' = 1.5*30ft = 45ft

W' = 1.5*80ft = 120ft

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Answer:

The graph of G(x) is the graph of F(x) stretched vertically, flipped over the x-axis, and shifted 2 units up

Step-by-step explanation:

I like math.

The composite solid has a volume equal to 2268π cubic feet.

In this problem we have the case of a solid as a result of the combination of a cylinder and a hemisphere. The volume formulas for the cylinder and the hemisphere are, respectively:

Volume of cylinder

V = π · r² · h

Volume of hemisphere

V = (2π / 3) · r³

Where:

Volume of the composite solid:

V' = π · r² · h + (2π / 3) · r³

If we know that r = 9 ft and h = 22 ft, then the volume of the composite solid is:

V' = π · (9 ft)² · (22 ft) + (2π / 3) · (9 ft)³

V' = 2268π ft³

The volume of the composite solid is equal to 1053π cubic feet.

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The volume of the given figure is 1176 cubic cm.

The value of the figure is calculated by multiplying all three side areas. Volume is a measure of the amount of space that an object or a substance occupies. It is typically expressed in cubic units such as cubic meters (m³), cubic centimetres (cm³), or cubic feet (ft³).

The volume of the figure is calculated as,

Volume = 2 ( 15 x 6 + 20 x 6 + 20 x 18 )

Volume = 1176 Cubic cm

Hence, the volume of the figure will be equal to 1176 Cubic cm.

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To find the number of dimes and quarters, you have 17 dimes and 34 quarters in your pocket , when there are 51 coins in your pocket.

To solve this problem, we can set up a system of equations using the given information. Let's use "d" to represent the number of dimes and "q" to represent the number of quarters.

We know that there are 51 coins in total, so we can write the equation: d + q = 51.

We also know that the total value of the coins is $10.20, which can be expressed as 10d + 25q (since dimes are worth 10 cents and quarters are worth 25 cents). So our second equation is: 10d + 25q = 1020.

To solve this system of equations, we can use substitution or elimination. Let's use substitution:

Rearrange the first equation to solve for d: d = 51 - q.

Substitute this expression for d in the second equation: 10(51 - q) + 25q = 1020.

Simplify and solve for q: 510 - 10q + 25q = 1020.

Combine like terms: 15q = 510.

Divide both sides by 15: q = 34.

Now substitute this value back into the first equation to solve for d: d + 34 = 51.

Subtract 34 from both sides: d = 17.

Therefore, you have 17 dimes and 34 quarters.

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9514 1404 393

Answer:

  A: ∠WXZ = 87°; ∠ZXY = 73°

Step-by-step explanation:

Ray XZ divides the angle WXY into parts that have a sum equal to the whole.

  (7x-4)° +(5x+8)° = 160° . . . . . whole is sum of parts

  12x = 156 . . . . . . . . . . . . . divide by °, subtract 4

  x = 13 . . . . . . . . . . . . . . divide by 12

  ∠WXZ = (7x -4)° = (7·13 -4)° = (91 -4)° = 87° . . . . . matches choice A

Over the past few months, Brody has eaten 3 glazed donuts and 6 other donuts. we expect 1 to be glaized

Generally, Based on the data provided, it seems that Brody has eaten 3 glazed donuts out of a total of

3 + 6 = 9 donuts.

This means that 3/9, or approximately 1/3, of the donuts Brody has eaten are glazed.

So, if Brody eats 3 more donuts, we would expect 1/3 of them to be glazed,

or 3*(1/3)=1.

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Answer:

  15.62

Step-by-step explanation:

The length XY is found from the distance formula:

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((4 -(-8))² +(-6 -4)²) = √(12² +(-10)²) = √244

  d ≈ 15.62 . . . units

The length of XY is approximately 15.62 units.

Answer:

Width = 20 inches and Length = 32 inches

Area of rectangle = 640 feet²

Step-by-step explanation:

Perimeter of rectangle = 104 feet

Let width of rectangle = x

Length of rectangle = x+12

We need to find area of rectangle.

First we need to find value of x

The formula used to calculate perimeter of rectangle is: \(Perimeter= 2(Length+Width)\)

Putting values and finding x

\(Perimeter= 2(Length+Width)\\104 = 2(x+12+x)\\104=2(2x+12)\\104=4x+24\\4x=104-24\\4x=80\\x=\frac{80}{4}\\x=20\)

So, Value of x= 20

So, Width x= 20 inches

Length = x+12 = 20+12 = 32 inches

So, Width = 20 inches and Length = 32 inches

Now finding Area

The formula used is: \(Area=Length\times Width\)

Putting values and finding area

\(Area=Length\times Width\\Area=20\times 32\\Area=640 \ feet^2\)

Area of rectangle = 640 feet²

Answer: Andre should buy Car 2. Brainliest?

Step-by-step explanation:

To compare the gas mileage of the two cars, we need to find out how many miles each car can travel per gallon of gas.

For Car 1: y = 25x

This means that for every gallon of gas used (x), the car can travel 25 times that amount in miles (y). So, the gas mileage for Car 1 is 25 miles per gallon (mpg).

For Car 2: we can calculate the miles per gallon by dividing the total miles traveled by the number of gallons of gas used:

For 2 gallons of gas, the car can travel 60 miles. So, the gas mileage is 30 mpg (60 miles ÷ 2 gallons).

For 5 gallons of gas, the car can travel 150 miles. So, the gas mileage is 30 mpg (150 miles ÷ 5 gallons).

For 7 gallons of gas, the car can travel 210 miles. So, the gas mileage is 30 mpg (210 miles ÷ 7 gallons).

For 8 gallons of gas, the car can travel 240 miles. So, the gas mileage is 30 mpg (240 miles ÷ 8 gallons).

For 11 gallons of gas, the car can travel 330 miles. So, the gas mileage is 30 mpg (330 miles ÷ 11 gallons).

Therefore, Car 2 has a consistent gas mileage of 30 mpg.

From the above calculations, we can see that Car 2 has a better gas mileage compared to Car 1. Car 2 can travel 30 miles on a gallon of gas, while Car 1 can only travel 25 miles on a gallon of gas.

Therefore, Andre should buy Car 2 if he wants to get the best gas mileage. Car 2 can travel 5 more miles per gallon than Car 1.

Answer:

12.5cm

Step-by-step explanation:

Each side of the pentagonal  garden has a length of 2.5 cm.

A pentagon has 5 sides.

Since the garden has congruent sides, all its lengths are equal.

Therefore:

Distance Walked by Tanya

= 5 X 2.5

=12.5cm

Tanya has walked 12.5cm in total.

Answer:

1/64

Step-by-step explanation:

4^-3

=1/4^3

=1/64

The fraction form of 4^3 is 1/64.