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3 years ago

Alex bought a new aquarium. He is in the process of setting it up. The aquarium is in the shape

Mathematics

1 answer:

KengaRu [80]3 years ago

4 0

Answer:

39.00%

Step-by-step explanation:

Given

Dimension: 36⅞ by 19 by 24⅝

Volume of Water = 6039in³

Required

What percent of the volume of the aquarium is filled with water?

First, we need to calculate the volume of the aquarium.

This is calculated by multiplying the dimensions of the aquarium

Volume = 36⅞ * 19 * 24⅝

Volume = 295/8 * 19 * 197/8

Volume = 1104185/64

Volume = 17252.89

The percent filled with water is calculated using the following formula:

%Percent = (Volume of water * 100%)/(Volume of aquarium)

%Percent = (6039 * 100%)/(17252.89)

%Percent = (603900%)/(17252.89)

%Percent = 39.00% (approximated)

Hence, the water occupies 39.00% of the aquarium

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If c(x)=4-2 and d(x)=x^2+5x, what is (c•d)(x)?

Viefleur [7K]

<span>1)What is f(3) if f(x) = -5x3 + 6x2 - x - 4?
a. -74
b. -88
c. 74
d. 182
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f(3) = -5(27) + 6(9) - 7
f(3) = -135 + 54 - 7 = -88
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f(x + 1) = 6(x^3 + 3x^2 + 3x + 1) - 3(x^2 + 2x + 1) + 4x + 4 - 9
f(x + 1) = 6x^3 + 18x^2 + 18x + 6 - 3x^2 - 6x - 3 + 4x + 4 - 9
f(x + 1) = 6x^3 + 15x^2 + 16x - 2
(d.)
3)What is 3[f(x + 2)] if f(x) = x3 + 2x2 - 4?
a. x3 + 8x2 + 20x + 12
b. 3x3 + 12x2 + 18x + 6
c. 3x3 + 24x2 + 60x + 36
d. 3x3 + 18x2 + 24x + 60
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f(x + 2) = x^3 + 6x^2 + 12x + 8 + 2x^2 + 8x + 8 - 4
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b. x - 3
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d. x + 8
2|....1....-3....-10....24
.......1.....-1.....-12....0
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a. x - 2
b. x - 3
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What is 13+5i really need help

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Answer:

Step-by-step explanation:

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3 years ago

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3 years ago

The measure of the angle of depression from the top of a 270 m building tweet park bench on the ground is 63° 43’.How far Where

Norma-Jean [14]

Answer:

547 m

Step-by-step explanation:

Given :

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The distance of park bench from the building, d is given by :

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