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A fish tank has a base, B, with an area, in square inches, modeled by B(x) = 2x^2 + 6x + 4. The height, H, in inches, is modeled by H(x) = x + 3. Find the equation that models the fish tank’s volume, V, in cubic inches.A. V(x) = 2x^2 + 7x + 7

B. V(x) = 2x^2 + 5x + 1

C. V(x) = 2x^3 + 12x^2 + 22x + 12

D. V(x) = 2x^3 + 8x^2 + 10x + 4

Answers

Answer 1

Answer:

Answer:

C. V(x) = 2x^3 + 12x^2 + 22x + 12

Step-by-step explanation:

The volume of a fish tank is the multiplication of the area of the base by the height.

In this question:

Area of the base: $B(x) = 2x^(2) + 6x + 4$

Height: $H(x) = x + 3$

Volume:

$V(x) = B(X)*H(x) = (2x^(2) + 6x + 4)(x + 3) = 2x^(3) + 6x^(2) + 4x + 6x^(2) + 18x + 12 = 2x^(3) + 12x^(2) + 22x + 12$

So the correct answer is:

C. V(x) = 2x^3 + 12x^2 + 22x + 12

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Answers

Answer:

d. w is 5.5 units

Step-by-step explanation:

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AC is a straight segment as shown in the diagram below. If the distance between points A and C is 67 miles, determine the distance between points A and B.

Answers

Final answer:

Without additional information such as the location of point B along line segment AC, or the distances from B to either A or C, it is impossible to determine the distance between points A and B based on the provided details.

Explanation:

The problem here is lacking some necessary information to accurately determine the distance between points A and B. Given that AC is a straight line segment and the distance between A and C is 67 miles, we still need further details to conclude the distance from A to point B, such as knowing the position of point B along segment AC, or the distances from B to either A or C. Without these specifics, it's impossible to determine the distance between points A and B based upon the given information.

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Find the measure of AB *

14 cm
24 cm
10 cm
140 cm

Answers

Answer:

10 cm

Step-by-step explanation:

Because it is a parrallogram and by its property it will be 10

Lena is on a two week bicycle trip. After 5 days she had ridden 212 miles. Express Lena’s rate as a unit rate

Answers

Answer:

42.4 miles per day

Step-by-step explanation:

212 miles ÷ 5 (days) = 42.4 miles

which means Lena can go at the rate of

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The number line below represents which combined inequality?number line with a closed circle on negative 4 and 3 with shading in between

x greater than or equal to −4 and x less than or equal to 3
x greater than or equal to −4 or x less than or equal to 3
x less than or equal to −4 and x greater than or equal to 3
x less than or equal to −4 or x greater than or equal to 3

Answers

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This is because of the fact that it is in between.

Answer:

Step-by-step explanation:

X greater or equal to -4 and X less than or equal to 3

Answer number one

The label on William's muffin said that one serving provided 11 grams of protein, which is 22% of the recommended dailyamount. What is the total recommended daily amount of protein?

Answers

Answer: 50 grams

Step-by-step explanation:

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