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3 years ago

Find the value of x. log 3 x=4

Mathematics

1 answer:

Ivenika [448]3 years ago

8 0

Answer:

The correct answer option is D. 81.

Step-by-step explanation:

We are given the following expression and we are to find the value of x:

$log _ 3 x = 4$

We can inverse $log _ 3 x$ and re-write it as $3^x$ .

Doing that, we will raise both the sides of the equation to the power of 3 to get:

$3 ^ { log 3 x } = 3 ^ 4$

x = 81

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A ball with mass m kg is thrown upward with initial velocity 28 m/s from the roof of a building 17 m high. Neglect air resistanc

Nutka1998 [239]

a. At its maximum height, the ball has zero vertical velocity, so

$-\left(28\dfrac{\rm m}{\rm s}\right)^2=2(-g)(y_{\rm max}-17\,\mathrm m)$

$\implies y_{\rm max}=57\,\mathrm m$

b. The ball's height in the air $y$ at time $t$ is given according to

$y=17\,\mathrm m+\left(28\dfrac{\rm m}{\rm s}\right)t-\dfrac g2t^2$

Solve for $t$ when $y=0$ :

$17+28t-4.9t^2=0\implies t\approx6.3\,\mathrm s$

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3 years ago

Kevin uses a coupon for 75% off one item. He only pays $3.00 for a train set. How much money was the train set originally?

oee [108]

Answer:

$12

Step-by-step explanation:

$3.00 is 25%

what about 100%

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5 0

3 years ago

For tax reasons, I need to create a rectangular vegetable patch with an area of exactly 32 sq. ft. The fencing for the east and

S_A_V [24]

Let the length of the north and south sides be x, then the length of the east and west side is 32/x.
The total fencing needed is the perimeter of the rectangle = 2x + 2(32/x) = 2x + 64/x
Cost of fencing the north and south sides is 2(2x) = 4x
Cost of fencing the east and west sides is 4(64/x) = 256/x
Total cost (C(x)) of fencing the vegetable patch is 4x + 256/x

For minimum cost dC/dx = 0
4 - 256/x^2 = 0
4x^2 - 256 = 0
x^2 = 64
x = 8

Therefore, the dimensions of the vegetable patch with the least expensive fence is
north and south sides = 8 ft
east and west sides = 32/8 = 4 ft

7 0

3 years ago

Solve for . Simplify your answer as much as possible.

ludmilkaskok [199]

Answer:

v=5.75

Step-by-step explanation:

7/8=v+3/10

first do cross multiplication to get

7×10=8(v+3)

70=8v+24

70-24=8v

46=8v

46÷8=v

v=5.75

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3 years ago

What is the answer for this algebra 1 question -2(-6r+6)<-12+8r

maksim [4K]

You would need to distribute the parenthesis. so the equation will be 12r-12<-12+8r

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3 years ago