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timofeeve [1]
3 years ago
9

What does the value 3 represent in this exponential equation?

Mathematics
1 answer:
Mashcka [7]3 years ago
6 0

Answer:

The base

Step-by-step explanation:

Just did it

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Wendell is looking over some data regarding the strength, measured in Pascals (Pa), of some building materials and how the stren
Slav-nsk [51]

The logarithmic model for the length when the strength is of 8 Pascals is given by:

  • f^{-1}(8) = \log_{2}{8} = \log_2{2^3} = 3
  • That is, the length is of 3 units.

<h3>What is the function?</h3>

The strength in Pascals for a building of length x is given by:

f(x) = 2^x

To find the length given the strength, we apply the inverse function, that is:

2^y = x

\log_{2}{2^y} = \log_2{x}

y = \log_2{x}

Hence, when the strength is of 8 Pascals, x = 8, and the length is given by:

f^{-1}(8) = \log_{2}{8} = \log_2{2^3} = 3

You can learn more about logarithmic functions at brainly.com/question/25537936

6 0
2 years ago
A young sumo wrestler goes on a special diet to gain weight.
Ilia_Sergeevich [38]

Answer:

10.8 kg

Step-by-step explanation:

w = 80 + 5.4t

At time 0, when he starts the diet, his initial weight is

w = 80 + 5.4(0)

w = 80

80 kg.

After 2 months, t = 2. His weight is

w = 80 + 5.4t

w = 80 + 5.4(2)

w = 80 + 10.8

w = 90.8

90.8 kg.

His gain in 2 months was 90.8 kg - 80 kg = 10.8 kg

Answer: 10.8 kg

8 0
3 years ago
Read 2 more answers
the length of a rectangle is 2 cm less than five times the width. the area of the rectangle is 16 cm^2. find the length and widt
ahrayia [7]
<span>length = L
</span>width = w

L = (5w-2) cm

w(5w-2)=16 \\ 5w^2-2w-16=0 \\ D=b^2-4ac=(-2)^2-4*5*(-16)=324 \\ w_{1,2}= \frac{-bб \sqrt{D} }{2a}  \\ w_1= \frac{2- \sqrt{324} }{2*5}= \frac{2-18}{10}=-1.6 \ \ \O \\ w_2=  \frac{2+18}{10}=2 cm

width = 2 cm
length = 5w-2 = 5*2-2 = 8 cm
8 0
3 years ago
He<br> Find the volume of this cylinder. Use 3 for pi<br> V = ?
Alborosie

Answer:

30in^3

Step-by-step explanation:

3x1^2x10=

3x1x10=

30

30in^3

3 0
2 years ago
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2 to the power of -3 simplified
blsea [12.9K]

Answer:

= 1/8 or 0.125

Step-by-step explanation:

5 0
3 years ago
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