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kogti [31]
2 years ago
6

Please help me and we should use laws of exponents​

Mathematics
1 answer:
elena55 [62]2 years ago
6 0

Answer:

3.b

(\frac{8}{3})^{2x+1} *(\frac{8}{3})^{5} =(\frac{8}{3}) ^{x+2}\\\\(\frac{8}{3})^{2x+1 +5} =(\frac{8}{3}) ^{x+2}\\\\\\2x +6 = x+2\\x = -4

i hope question 3.a. is 5^x ÷ 5^-3 = 5^5

3.a.

\frac{5^x}{5^{-3}} = 5^5\\\\5^ {x+3} = 5^5\\\\x+3 = 5\\x =2

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These two triangles are similar .Find side lengths a and b .The two figures are not drawn to scale
ziro4ka [17]

Answer:

a = 6, b = 22.5

Step-by-step explanation:

One triangle is 2.5 times bigger than the other.

9*2.5=22.5 which means b = 22.5

15/2.5=6 which means a = 6

7 0
2 years ago
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A rectangular tank that is 5324 ft cubed with a square base and open top is to be constructed of sheet steel of a given thicknes
marishachu [46]

Answer:

Side of 22 and height of 11

Step-by-step explanation:

Let s be the side of the square base and h be the height of the tank. Since the tank volume is restricted to 5324 ft cubed we have the following equation:

V = s^2h = 5324

h = 5324 / s^2

As the thickness is already defined, we can minimize the weight by minimizing the surface area of the tank

Base area with open top s^2

Side area 4sh

Total surface area A = s^2 + 4sh

We can substitute h = 5324 / s^2

A = s^2 + 4s\frac{5324}{s^2}

A = s^2 + 21296/s

To find the minimum of this function, we can take the first derivative, and set it to 0

A' = 2s - 21296/s^2 = 0

2s = 21296/s^2

s^3 = 10648

s = \sqrt[3]{10648} = 22

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4 0
3 years ago
What is the graetest commom factor for 6 and 36
Zarrin [17]

Answer:

The greatest common factor of 6 and 36 is

6

Hope it will help :)

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zheka24 [161]

Step-by-step explanation:

9.1k=64.7

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64.7/9.1=7

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9.1(7)=64.7

Multiply 9.1 and 7=63.7

63.7=64.7

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