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Answer:

Step-by-step explanation:

Values from the given set satisfying the above solution:

Correct choice is c.

Answer:

The first option, V ≈ 1607.7 in²

Step-by-step explanation:

Find the volume of the given cylinder.

\(\begin{center}\framebox{\parbox{4cm}{\textbf{Volume of a Cylinder:}\\[2ex]The volume of a cylinder with radius $r$ and height $h$ is given by the formula:\\[2ex]\center{$V = \pi r^2 h$} \\ \\}}\end{center}\)

Given:

r = 8 in

h = 8 in

π = 3.14

Find:

V = ?? in³

\(\hrulefill\)

Now solving,

Substitute the given values into the formula:

=> V = (3.14)(8)²(8)

Using a calculator to simplify:

=> V = 1607.68 in²

Rounded to the nearest tenth:

∴ V ≈ 1607.7 in²

Thus, the first option is correct.

Answer:

24,300,000

Step-by-step explanation:

Answer:

The guests ate 8 1/2 cups of snack mix.

Step-by-step explanation:

First that find how much is 12 3/4.

12 3/4 = 12,75 cups of snack mix

Let's see how much is 2/3 of 12,75.

To find 2/3 we can divide 12,75 by 3 and multiply the result by 2.

(12,75 : 3) x 2 = 8,5 cups of snack mix.

8,5 = 8 1/2

I hope this is helpful. Please do me Brainliest.

Answer:b c

Step-by-step explanation:

Answer: 9 days.

Step-by-step explanation: 27 / 3

The algebraic expression that shows number of days is x = 9.

An algebraic expression is consists of variables, numbers with various mathematical operations,

Given that,

Number of cans of cat food eaten by Pooky in one day = 3 cans.

Total number of cans = 27.

To find the algebraic equation, for this problem,

Let 27 cans of food last for x days,

The required value of x can be,

x = 27 / 3

x = 9

The required expression is x = 9.

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Answer:

10

Step-by-step explanation:

(5+3)2 - (3)3 * 2

(8)2 - (3 * 3 * 3) * 2

64 - 27 * 2

64 - 54

=10

Answer = 10

The area of the rectangular figures obtained by the multiplication of the dimensions expressed as fractions are presented as follows;

A fraction is a representation of proportion or part of a whole, presented as a value with a numerator value part located above a denominator.

1) The number of (1/2) of a yard, n, that are in 1 yard can be found by dividing 1 yard by (1/2) yard by dividing by a fraction as follows;

n = (1 yard)/((1/2) yard) = 1/(1/2) = 1 × 2/1 = 2

2) The number of (1/3) yard lengths, n, that are in 1 yard can be found similarly as follows;

n = (1 yard)/((1/3) yard) = 1/(1/3) = 1 × 3/1 = 3

3. The dimensions of each unit rectangle in the model are;

Height = (1/2) yard

Width = (1/3) yard

A 1 square yard area, A is therefore;

A = (2 height lengths) × (3 width lengths)

A = (2 × (1/2) yard) × (3 × (1/3) yard) = (1 yard) × (1 yard) = 1 square yard

4. (4/6) square yard is the product of the (1/2) yard and (4/3) yard, which is represented by the top row or four rectangles, therefore;

(4/6) square yard which is 4 rectangles covers less area than 1 square yard which covers 6 rectangles.

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Answer:

Step-by-step explanation:Laila has 4 donuts she then gives her 3 friends 2/3 of each donut.How much of the donuts did Laila give to her friends?

Answer:

Tricia travels at a rate of 50 miles per hour

Step-by-step explanation:

Answer:

75 miles per hour

Step-by-step explanation:

150 divided by 2 is 75

Answer: 6,319,635,444

Step-by-step explanation: add both numbers together then round up

Answer:

add both number and round

Step-by-step explanation:

Answer:

ospe4mhe is taht he iaoe

Answer:

Synecdoche means in which a part of something is substituted for the whole (as hired hand for "worker")

Here are the pairs matched with their products:

- (-5)(4.2) matches with -21

- (-7)(-3) matches with 21

- (2.5)(-9) matches with -22.5

Pairs (4) and (5) do not have corresponding products in the given options.

Explanation

The angles ABD and DBC are supplementary since they form a straight line. That means they add to 180 degrees.

(angle ABD) + (angle DBC) = 180

(134) + (2x) = 180

2x = 180-134

2x = 46

x = 46/2

x = 23

Answer: x=23 and the angle relation used was supplementary angles

Step-by-step explanation:

first, you know that angle abd is 134 so you subtract that from 180 and divide it by 2 because angle cbd is 2x and you know they equal 180 because they make a straight line.

Answer:

-8

Step-by-step explanation:

In the expression (-8)(10-5-8), the -8 is right next to the (10-5-8), so the -8 would multiply the rest of the expression.

Some examples: 2(3)  = 2 × 3

6(2 + 4) = 6 × (2 + 4)

6(1 - 2(3)) = 6 × (1 - 2 × 3)

(-7)(9 - 4 - 7) = (-7) × (9 - 4 - 7)

Answer:

3 quarts.

Step-by-step explanation:

The wall is 20 feet by 15 feet. That means the area of the wall is 20 * 15 = 300 feet squared. Since one quart of paint covers 100 square feet, they will need to purchase 300 / 100 = 3 quarts of paint.

Hope this helps!

Answer:

y= -4

Step-by-step explanation:

Equation: 3-4y= 19

Step 1: subtract 3 from both sides of the equation.

3-3-4y =19 -3

The 3's cancel out on the left side and on the right side you are left with 16.

Step 2: divide both sides by -4.

-4y÷-4= 16÷ -4

The -4's cancel out on the left side and on the right side you are left with -4.

y= -4

Answer:y=-4

Step-by-step explanation:

3-4y=19 Step One: subtract 3 on both sides to remove 3 on the left

-4y=16 Step Two: divide each side by negative 4 to leave y on it's own

y=-4 Your answer

Very easy, hoped this helps! :)

Answer:

Bus is the preferred transportation for 25 residents.

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

20 divided 60% = 12

Answer:

82.5 ft²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = \(\frac{1}{2}\) h (b₁ + b₂)

where h is the perpendicular height and b₁, b₂ the parallel bases

Here h = 7.5, b₁ = 7 and b₂ = 15 , then

A = \(\frac{1}{2}\) × 7.5 × (7 + 15) = 0.5 × 7.5 × 22 = 82.5 ft²

Answer:

135 ft^2 (first answer choice)

Step-by-step explanation:

Convert the length of the 7 yd base to feet:  21 ft.

Then the average length of the trapezoid is (15 ft + 21 ft)/2 = 36/2 ft = 18 ft.

The area of the trapezoid is then (average length)(height), or

A = (18 ft)(7.5 ft) = 135 ft^2 (first answer choice)

Answer:

Step-by-step explanation: you would have to cut the shape in to two then multiply the base x width x length

Answer:

185 + 0.03x = 275 + 0.025x

Step-by-step explanation:

0.03x - 0.025x = 275 - 185

0.005x = 90

Divide both sides by 0.005

x = 90/0.005

x=18000

Answer:

i hope it helps

Step-by-step explanation: 24/9

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Answer:

To find the first four terms of the series, we can substitute the values of n from 1 to 4 in the given formula and simplify:

n=1: -4(2/3)^0 = -4(1) = -4

n=2: -4(2/3)^1 = -4(2/3) = -8/3

n=3: -4(2/3)^2 = -4(4/9) = -16/9

n=4: -4(2/3)^3 = -4(8/27) = -32/27

So the first four terms of the series are -4, -8/3, -16/9, -32/27.

To determine if the series converges or diverges, we need to find the common ratio r, which is the ratio of any term to its preceding term:

r = (-4(2/3)^n) / (-4(2/3)^(n-1)) = 2/3

Since the absolute value of the common ratio is less than 1, the series converges.

To find the sum of the series, we can use the formula for the sum of an infinite geometric series:

S = a / (1 - r)

where a is the first term and r is the common ratio. Substituting the values we found:

S = -4 / (1 - 2/3) = -4 / (1/3) = -12

So the sum of the infinite geometric series is -12.

Answer:

a)  The first four terms of the series are:

    -4, -8/3, -16/9, -32/27

b)  The series converges.

c)  The sum of the infinite geometric series is -12.

Step-by-step explanation:

Given infinite geometric series:

\(\displaystyle \sum^{\infty}_{n=1} -4 \left(\dfrac{2}{3}\right)^{n-1}\)

Therefore, the formula for the nth term of the sequence is:

\(a_n=-4 \left(\dfrac{2}{3}\right)^{n-1}\)

where:

Calculate the first four terms of the series by substituting the n-values 1 through 4 into the nth term formula.

\(a_1 = -4 \left(\dfrac{2}{3}\right)^{1-1} = -4 \left(\dfrac{2}{3}\right)^{0}=-4\)

\(a_2 = -4 \left(\dfrac{2}{3}\right)^{2-1}= -4 \left(\dfrac{2}{3}\right)^{1}=-\dfrac{8}{3}\)

\(a_3 = -4 \left(\dfrac{2}{3}\right)^{3-1}= -4 \left(\dfrac{2}{3}\right)^{2}=-4 \left(\dfrac{4}{9}\right)=-\dfrac{16}{9}\)

\(a_4 = -4 \left(\dfrac{2}{3}\right)^{4-1}= -4 \left(\dfrac{2}{3}\right)^{3}= -4 \left(\dfrac{8}{27}\right)=-\dfrac{32}{27}\)

A geometric series converges if the absolute value of its common ratio is less than 1. As r = 2/3 and |2/3| < 1, the series converges.

Use the infinite geometric series sum formula to find sum of the infinite series.

\(\boxed{\begin{minipage}{5.5 cm}\underline{Sum of an infinite geometric series}\\\\$S_{\infty}=\dfrac{a}{1-r}$,\;\;for\;$|r| < 1$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term. \\ \phantom{ww}$\bullet$ $r$ is the common ratio.\\\end{minipage}}\)

Substitute a = -4 and r = 2/3 into the formula to find the sum of the infinite series:

\(\begin{aligned}\implies S_{\infty}&=\dfrac{-4}{1-\frac{2}{3}}\\\\ &=\dfrac{-4}{\frac{1}{3}}\\\\&=-4 \cdot \dfrac{3}{1}\\\\&=-\dfrac{12}{1}\\\\&=-12\end{aligned}\)

Therefore, the sum of the given infinite geometric series is -12.