An elevator travels 117 feet in 6.5 seconds what is the elevators speed

An elevator travels 117 feet in 6.5 seconds what is the elevators speed in a unit rate

2 months ago

Solution 1

Guest Guest #3319
2 months ago

you would have to do out the equation of 117 divided by 6.5 which would give you 18 feet per second

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What logarithmic equation has the same solution as x-4=2^3
Solution 1

What logarithmic equation has the same solution as x-4=2^3

Solution:

x-4=2³

x-4=2*2*2

x-4=8

TO solve for x, Let us add 4 on both sides

x-4+4=8+4

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So, x=12

But, x=12 is not a logarithmic equation and there are no options

So, an equation like, x=㏒  10^{12}

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So, x=㏒  10^{12}  =12

So, logarithmic equation like x=log  10^{12}  has same solution as x-4=2³

Solution 2

Answer:

log (x+2)+log\,2=log\,28 is required lograthmic equation.

Step-by-step explanation:

Given: Given equation, x - 4 = 2³

To find: Logarithmic function whose solution is same as given equation.

First we find the solution of given Equation.

consider,

x - 4 = 2³

x - 4 = 8        ( ∵ 2³ = 2×2×2 = 8 )

x = 8 + 4       ( Transposing 4 to RHS )

x = 12

Now we find the logarithmic equation whose solution is also x = 12.

( There exist many such equations )

Lets say one of them is,

log (x+2)+log\,2=log\,28

Now we find its solution to check if it is same or not.

log\,((x+2)\times2)=log\,28   (using lograthmic rule,log\,m\times n=log\,m+log\,n)

⇒ 2 × ( x + 2 ) = 28  (using lograthmic rule, log_{a}\,x=log_{a}\,y \implies x=y )

⇒ 2x + 4 = 28

⇒ 2x = 28 - 4     (transposing 4 to RHS)

⇒ 2x = 24          (transposing 2 to RHS)

x=\frac{24}{2}

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Two lines, C and D, are represented by the equations given below: Line C: y = x + 14 Line D: y = 3x + 2 Which of the following shows the solution to the system of equations and explains why?
Solution 1

The solution for the given system of equations are (6, 20).

What is a linear system of equations?

A system of linear equations is a set of two or more equations involving two or more variables. All of the equations must be considered at once in order to find the solution, which is any pair of values that makes each equation true independently.

The given system of linear equations are y=x+14 -----(i) and y=3x+2 -----(ii).

From equation (i) and (ii), we get

x+14=3x+2

3x-x=14-2

2x=12

x=6

Substitute x=6 equation (i), we get

y=20

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To learn more about the linear system of an equations visit:

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Solution 2

Answer:

(6, 20), because both lines pass through this point

Step-by-step explanation:

We see that both equations are equal to y.  This means we can set the two equations equal to each other:

x+14 = 3x+2

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Subtract 2 from each side:

14-2 = 2x+2-2

12 = 2x

Divide both sides by 2:

12/2 = 2x/2

6 = x

Substitute this into the first equation:

y = x+14

y = 6+14

y = 20

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