A cola container is in the shape of a right cylinder. The radius of the base is 4 centimeters, and the height is 12 centimeters. What is the volume of the container?


A. 225
B. 192
C. 136
D. 216

Answer:

16x^10+16x^8+4x^6

The expanded and simplified form of [tex](2x^3 + 4x^5)^2[/tex] is  [tex]4x^6 + 16x^8 + 16x^10[/tex].

when we combine all the like terms.

To expand and combine like terms for the expression [tex](2x^3 + 4x^5)^2,[/tex] we need to square each term inside the parentheses and then combine like terms.

Using the FOIL method (First, Outer, Inner, Last) to multiply the terms, we have:

[tex](2x^3 + 4x^5)^2 = (2x^3)^2 + 2(2x^3)(4x^5) + (4x^5)^2[/tex]

Simplifying each term:

[tex](2x^3)^2 = 4x^6\\2(2x^3)(4x^5) = 16x^8\\(4x^5)^2 = 16x^10[/tex]

Combining like terms, we have:

[tex](2x^3 + 4x^5)^2 = 4x^6 + 16x^8 + 16x^10[/tex]

Therefore, the expanded and simplified form of [tex](2x^3 + 4x^5)^2[/tex] is [tex]4x^6 + 16x^8 + 16x^10.[/tex]

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Full Question

Expand and combine like terms: (2x^3+4x^5)^2 by simplication.

(No graph needed)

Answer:

There is no mode (B)

Step-by-step explanation:

Answer:

[tex]y=\frac{3}{2}x+8[/tex]

Step-by-step explanation:

[tex]y=mx+b\\[/tex]

slope=m

[tex]y=-\frac{2}{3} x-1[/tex]

slope=[tex]-\frac{2}{3}[/tex]

slope=[tex]\frac{3}{2} ,(-4,2)[/tex]

[tex]y-y_{1} =m(x-1)\\\\y-_{2} =\frac{3}{2} (x-4)\\\\y-2=\frac{3}{2} x+6\\[/tex]

Add 2 to both sides

[tex]Answer:y=\frac{3}{2} x+8[/tex]

hope it helps!!

Answer:

y = -3x - 10

Step-by-step explanation:

Equation to represent the given table can be written in the slope-intercept form, y = mx + b.

m = slope = ∆y/∆x

Using the coordinates of any two pairs of values from the table, (0, -10) and (1, -13):

Slope (m) = [(-13 - (-10)]/[1 - 0] = -3/1

Slope (m) = -3

b = y-intercept = the value of y when x is 0 = -10

To write the equation, substitute m = -3 and b = -10 into y = mx + b.

Thus:

y = -3x + (-10)

y = -3x - 10

Answer:

36

Step-by-step explanation:

Answer:

x=36 is your answer

Step-by-step explanation:

Simplifying

x + 6 = 42

Reorder the terms:

6 + x = 42

Solving

6 + x = 42

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6' to each side of the equation.

6 + -6 + x = 42 + -6

Combine like terms: 6 + -6 = 0

0 + x = 42 + -6

x = 42 + -6

Combine like terms: 42 + -6 = 36

x = 36

Simplifying

x = 36

Answer:

12144 ways

Step-by-step explanation:

24×23÷22= 12144

Answer:

What is the slope of a line perpendicular to the line whose equation is 2x+y=3?

Step-by-step explanation:

-1/2

Step-by-step explanation:

perpendicular slopes are the opposite reciprical

so you basically flip it and change the sign

I hope this helps :)

Answer:B

Step-by-step explanation:

Answer:

The second one

4/5 is next to x

And the y intercept is NEGATIVE 6 or (-6)

Step-by-step explanation:

Answer:

a) 0.3333 = 33.33% probability that the low bid on the next intrastate shipping contract is below $25,000.

b) 0.1667 = 16.67% probability that the low bid on the next intrastate shipping contract is in excess of $28,000.

Step-by-step explanation:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distribution has two bounds, a and b.

The probability of finding a value lower than x is given by:

[tex]P(X < x) = \frac{x - a}{b - a}[/tex]

The probability of finding a value higher than x is given by:

[tex]P(X > x) = \frac{b - x}{b - a}[/tex]

Uniformly distributed between 23 and 29

This means that [tex]a = 23, b = 29[/tex]

(a) Find the probability that the low bid on the next intrastate shipping contract is below $25,000.

[tex]P(X < 25) = \frac{25 - 23}{29 - 23} = 0.3333[/tex]

0.3333 = 33.33% probability that the low bid on the next intrastate shipping contract is below $25,000.

(b) Find the probability that the low bid on the next intrastate shipping contract is in excess of $28,000.

[tex]P(X > 28) = \frac{29 - 28}{29 - 23} = 0.1667[/tex]

0.1667 = 16.67% probability that the low bid on the next intrastate shipping contract is in excess of $28,000.

Answer:

c. 80,360

Step-by-step explanation: multiply the number of cases they make each day by the amount of pastries each case contains

Answer:

5^-2

Step-by-step explanation:

When you multiply exponents, you can add them if they have like bases.

-4 + 2 = -2

Answer:

It would be x over 25

Answer:

radius is 9 m and diameter is 2 x9 = 18

Answer:

y = -3/4x -5 (G)

Step-by-step explanation:

Find the slope by using the slope formula. (It's hard to format here so look it up)

Basically, it is y2 - y1/x2 - x1

-5 - 1/ 0 + 8

-6/8 = -3/4

The slope is -3/4.

Plug in for y = mx + b

y (y coordinate) = -5

x (x coordinate) = 0

slope (m) = -3/4

-5 = -3/4(0) + b

-5 = 0 + b

b = -5

y = -3/4x -5

Answer:

980 students are freshmen.

Step-by-step explanation:

2800*.35=980

Answer:

3×2×1

Step-by-step explanation:

that is the answer

Answer:

see explanation

Step-by-step explanation:

The definition of factorial ! is

n! = n(n - 1)(n - 2) ...... × 3 × 2 × 1 , then

3! = 3 × 2 × 1

= 6

Answer:

The probability that tails and an even number do not occur together is 3/4.

Step-by-step explanation:

There are three outcomes in which tails occurs with an even number (2, tails), (4, tails), (6, tails). The probability of this event is 3/12 = 1/4 . The probability that tails and an even number do not occur together is 1 - 1/4 = 3/4.

Answer:

Sample answer for Edmentum

Step-by-step explanation:

Answer:

About 38,400,000,000 text

thirty eight billion + four hundred million

Step-by-step explanation:

Answer: the first box

Brainliest please

Step-by-step explanation:

25.09 is more than 25.018 because 0.09 is greater than 0.01

25.09-25.018=0.072

Answer:

You good? Also, 25.018 is heavier since it is closer tho the nearest ones and the fact it is a bigger decimal.

Step-by-step explanation:

    it's  the second one.

Answer:   -23, -8, 12

Step-by-step explanation:

f(x)=5x−8

When x=−3,

f(-3)=5(-3)−8 = -15-8 = -23

When x=0,

f(0)=5(0)−8 = -8

When x=4,

f(4)=5(4)−8 = 20-8=12

Answer:

[tex]p =\frac{1}{6}[/tex]

Step-by-step explanation:

Given

[tex]Polygons =\{Quadrilateral, Pentagon, Hexagon, Octagon, Nonagon, Decagon\}[/tex]

Required

Probability of assigning a nonagon

From the given set of polygons, there are 6 polygons in the set and 1 one of them is a nonagon

This means that:

[tex]n = 6[/tex] --- Total

[tex]Nonagons = 1[/tex]

So, the probability, p is:

[tex]p =\frac{Nonagons}{n}[/tex]

[tex]p =\frac{1}{6}[/tex]

Answer:

The answer is y=-1x+8 or you can write it this way y=-x+8 either way will work fine.

Step-by-step explanation:

y=mx+b

m=-1

y-y=m(x-x¹)

y-1=-1(x-7)

y-1=-1x+7

+1 +1

y=-x+8

I hope this helps:)

Answer:

12

13

89

Step-by-step explanation:

ez pz

Answer:

y < -4 + 5x

Step-by-step explanation:

add 12 with 16 by 20 it gives you 48 cubic inches

12 +16+20=48 cubic inches

what you need help woth owo

Answer:

G

Step-by-step explanation:

Answer:

The answer is H

Step-by-step explanation: