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2 years ago

Which is the solution to 5^x=8^x-7

Mathematics

1 answer:

Levart [38]2 years ago

3 0

Answer:

C) 30.9702

Step-by-step explanation:

Take log of both sides:

In5^x = In8^x - 7

Rewrite it using the laws of log:

xIn5 = (x - 7)In8

x / (x - 7) = ln 8 / ln 5

x / (x - 7) = 1.292

x = 1.292x - 9.044

1.292x - x = 9.044

x = 9.044 / 0.292

Thus, x = 30.9702

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Please help !!!

rewona [7]

What's up? A, C, E is all the answers best of luck with your studies

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3 years ago

A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a velocity of 43 ft/s. Its height

Lina20 [59]

Answer:

Instantaneous Velocity at t = 1 is 20 feet per second

Step-by-step explanation:

We are given he following information in the question:

$y(t)=43t-23t^{2}$

B) Instantaneous Velocity at t = 1

$y(1) = 43(1)-23(1)^2 = 20$

A) Formula:

Average velocity =

$\displaystyle\frac{\text{Displacement}}{\text{Time}}$

1) 0.01

$y(1 + 0.01)=y(1.01) = 43(1.01)-23(1.01)^{2} = 19.9677\\\\\text{Average Velocity} = \dfrac{y(1.01)-y(1)}{1.01-1} =\dfrac{19.9677-20}{1.01-1}= \dfrac{-0.0323}{0.01} = -3.230000 \text{feet per second}$

2) 0.005 s

$y(1 + 0.005)=y(1.005) = 43(1.005)-23(1.005)^{2} = 19.984425\\\\\text{Average Velocity} = \dfrac{y(1.005)-y(1)}{1.005-1} =\dfrac{19.984425-20}{1.005-1} = -3.1150000 \text{feet per second}$

3) 0.002 s

$y(1 + 0.002)=y(1.002) = 43(1.002)-23(1.002)^{2} = 19.993908\\\\\text{Average Velocity} = \dfrac{y(1.002)-y(1)}{1.002-1} =\dfrac{19.993908-20}{1.002-1} = -3.0460000 \text{feet per second}$

4) 0.001 s

$y(1 + 0.001)=y(1.001) = 43(1.001)-23(1.001)^{2} = 19.996977\\\\\text{Average Velocity} = \dfrac{y(1.001)-y(1)}{1.001-1} =\frac{19.996977-20}{1.001-1} = -3.0230000 \text{feet per second}$

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3 years ago

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Annette [7]

Answer:

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Step-by-step explanation: hope that helped a little and could i get a brainlist thing...

10 is

y with the thing on top is 5

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4 years ago

What term should be added to create a perfect square trinomial ??

12345 [234]

Yes you are correct. You take half of the x coefficient 18 to get 9, then you square 9 to get 81

x^2+18x+81 is a perfect square trinomial which factors to (x+9)^2

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3 years ago

Choose the division equation that represents the fraction shown 1/7

hoa [83]

Answer:

1÷7 is the answer

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3 years ago

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