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kifflom [539]
2 years ago
13

Help me please someone

Mathematics
2 answers:
Genrish500 [490]2 years ago
8 0

Answer:

A.

Step-by-step explanation:

Nikolay [14]2 years ago
8 0
Your answer is A have a good day!
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An aquarium with a square base has no top. There is a metal frame. Glass costs 8 dollars/m^2 and the frame costs 7 dollars/m. Th
Irina-Kira [14]
Given that the volume of the aquarium is 20m^3.

Volume = Area of Base x height

Area of Base = Volume / height = 20/h

Given that the aquarium has a square base.

Area of square = l^2

Thus, the length of the base of the aquarium is \sqrt{area \ of \ base} = \sqrt{ \frac{20}{h} }

The frame is to cover 8 sides with the length equal to the length of the base and 4 sides with the length of the height.

Thus, the total perimeter of the frame is given by 8\sqrt{\frac{20}{h}}+4h= \sqrt{64\left(\frac{20}{h}\right)}+4h = \sqrt{\frac{1,280}{h}}+4h

Area of the four side faces of the aquarium is 4 times the length of the base times the height = 4\times\sqrt{ \frac{20}{h} }\times h=\sqrt{16\left(\frac{20}{h}\right)h^2}=\sqrt{320h}

Total area to be covered by grass is the base and the four side faces and is given by \frac{20}{h}+\sqrt{320h}

Cost of the entire metal frame = 7\left(\sqrt{\frac{1,280}{h}}+4h\right)= \sqrt{49\left(\frac{1,280}{h}\right)}+7(4h) = \sqrt{\frac{62,720}{h}}+28h

Cost of the entire grass = 8\left(\frac{20}{h}+\sqrt{320h}\right)=\frac{160}{h}+\sqrt{64(320h)}=\frac{160}{h}+\sqrt{20,480h

Therefore, total cost in terms of the height, h, is given by

C=\sqrt{\frac{62,720}{h}}+28h+\frac{160}{h}+\sqrt{20,480h
3 0
3 years ago
Ce Powered by MathXL - Inv. 2 - Thinking With Mathematical ... Copy 4
MAVERICK [17]

Answer:

y=640-3x

Step-by-step explanation:

The total amount of ounces in the bucket is 640, and it decreases by 3 each minute. For example, if you plug in 3 for x into that equation (which would represent 3 minutes), you would lose 9 ounces of water, which makes sense in the terms of the equation.

7 0
3 years ago
Find the 10th term of the sequence if the explicit function/formula is f(n)=100+10n
Nutka1998 [239]

Answer:

The 10th term of the sequence is 200.

Step-by-step explanation:

Given that,

The sequence is as follows :

f(n)=100+10n

We need to find 10th term of the sequence.

Put n = 10 in the given expression.

f(10)=100+10(10)

= 100 + 100

= 200

Hence, the 10th term of the sequence is 200.

8 0
2 years ago
. Find the value of x. If necessary, round to the nearest tenth. 6.9 in. 9.7 in. 11.7 in. 13.7 in.
solong [7]
I think the answer is -12
7 0
3 years ago
A study is done on the population of a certain fish species in a lake. Suppose that the population size P(1) after years is give
Andre45 [30]

Answer:

  • Growth
  • 22%

Step-by-step explanation:

<u>Given function:</u>

  • P(t) = 400(1.22)^{t}

<u>Initial population size is when t = 0</u>

  • P(0) = 400(1.22)⁰ = 400(1) = 400

<u>The multiple of 1.22 is applied every year, so the ratio of change is:</u>

  • 1.22 = 122% = 100% + 22%

This is an exponential growth which represents 22% annual growth.

5 0
3 years ago
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