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Reptile [31]
2 years ago
10

Pleaase help me because i really need it

Mathematics
2 answers:
MrMuchimi2 years ago
5 0

Answer:

B and C are both correct

Step-by-step explanation:

18/6 = 3

h¹⁰/h¹² = h⁽¹⁰⁻¹²⁾ = h⁻² = 1/h²

the a⁻⁴ term remains unchanged and = 1/a⁴

3a⁻⁴h⁻² = \frac{3}{a^4h^2}

GarryVolchara [31]2 years ago
4 0

Answer:

C is the answer.

Step-by-step explanation:

3a-4 h-2

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An open-top box with a square base is to have a volume of 4 cubic feet. Find the dimensions of the box (in ft) that can be made
Lemur [1.5K]

Answer:

The dimension of box=2ft\times 2ft\times 1ft

Step-by-step explanation:

We are given that

Volume of box=4 cubic feet

Let x be the side of square base and h be the height of box

Volume of box=lbh=x^2h

4=x^2h

h=\frac{4}{x^2}

Now, surface area of box,A=x^2+4xh

A=x^2+4x(\frac{4}{x^2})=x^2+\frac{16}{x}

\frac{dA}{dx}=2x-\frac{16}{x^2}

\frac{dA}{dx}=0

2x-\frac{16}{x^2}=0

2x=\frac{16}{x^2}

x^3=8

x=2

\frac{d^2A}{dx^2}=2+\frac{32}{x^3}

Substitute x=2

\frac{d^2A}{dx^2}=2+\frac{32}{2^3}=2+4=6>0

Hence, the area of box is minimum at x=2

Therefore, side of square base,x=2 ft

Height of box,h=\frac{4}{2^2}=1 ft

Hence, the dimension of box=2ft\times 2ft\times 1ft

5 0
2 years ago
What is the volume of the prism below? 12 in 16 in 9 in
Inga [223]

Answer:

1728 units cubed

Step-by-step explanation:

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5 0
2 years ago
For every 144 light bulbs produced, 6 are defective. Find the number of defective light bulbs that could be expected out of 720.
Lelu [443]
You are going to get the rate of the detects.
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If there are 720 light bulbs, then the number of detects will be
720 light bulbs * 1/19 detects per light bulb = 37. 89 ≈ 38 detects
7 0
3 years ago
Read 2 more answers
ms.tran has 1/3 of a tank of gas in her car.if the tank holds 14 1/3 gallons sbout how much does she have?
Paraphin [41]

(1/3) of (14-1/3)  =  (1/3) x (43/3) = (43/9) = about <em>(4 and 7/9) gallons</em>.

3 0
3 years ago
Write 8.92x10^9 in standard notation.
Mandarinka [93]
8920000000.
Since the problem is asking for a positive 10^9 power, the final number with be greater than 8.92
7 0
2 years ago
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