A line that passes through [-7,3] and [-6,-1]

PLEASE HELP 30 POINTS Wendell is looking over some data regarding the strength, measured in Pascals (Pa), of some building mater

jarptica [38.1K]

Logarithmic functions and exponential functions are inverse and opposite of one another

The logarithmic function is $y = \log_2(x)$ , and the length at 8 pascals is 3 units

<h3>How to determine the logarithmic function</h3>

The exponential function is given as:

$f(x) = 2^x$

Express f(x) as y

$y = 2^x$

Swap the positions of x and y

$x = 2^y$

Take the logarithm of both sides

$\log(x) = \log(2^y)$

Apply the rule of logarithm

$\log(x) = y\log(2)$

Divide both sides by log(2)

$y = \frac{\log(x)}{\log(2)}$

Apply the change of base rule of logarithm

$y = \log_2(x)$

When the strength is 8 pascals, we have:

$y = \log_2(8)$

Express 8 as 2^3

$y = \log_2(2^3)$

So, we have:

$y =3 \log_2(2)$

Evaluate log 2 base 2

$y =3$

Hence, the logarithmic function is $y = \log_2(x)$ , and the length at 8 pascals is 3 units

Read more about logarithmic and exponential functions at:

brainly.com/question/11464095

7 0

2 years ago

The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is 2l + 2w = 16, where l

Papessa [141]

2l + 2w = 16

2(l + w) = 16

l + w = 8

Lengths could be any numbers greater than 0 and less than 8

0 < l < 8

5 0

3 years ago

Read 2 more answers

How many 1 inch cubes do you need to fill a cube with an edge length of 7/12 foot

grigory [225]

Answer:

[you need 343 1 inch cubes]

Step-by-step explanation:

A foot has 12 inches. So if the edge length is 7/12 of a foot, that means that the edge length is 7 inches.

——————

[volume of a cube if the edge length is L, is L x L x L or L cubed]

A one inch cube has an edge length of 1. That means the volume of this cube is 1 x 1 x 1 = 1 inch cubed

——————

This big cube, has an edge length of 7 inches. So the volume is 7 x 7 x 7 = 343 inches cubed.

To find how many 1 inch cubes do you need to fill a 7 inch cube, you divide 343 by 1:

343/1=343 so you need 343 1 inch cubes.

6 0

3 years ago

In triangle ABC, what is m angle C

Degger [83]

Answer:

83.5 degrees

Step-by-step explanation:

first, find x:

x+5x-13+4x=180

10x=193

x=19.3

Then, substitute that value for c:

5*19.3-13

=83.5 degrees

4 0

2 years ago

Find the distance between the points (7,23) and (3,-3), rounded to the hundredths place

Molodets [167]

Answer:

26.31

Step-by-step explanation:

Use distance formula

d = $\sqrt{(x_{2}-x_{1)^{2} + (y_{2}-y_ ^{1)^2} } }$

substitute in points and solve

d = $\sqrt{(7-3)^2 + (23-(-3))^{2} }$

d = $\sqrt{4^{2}+26^{2} }$

d = $\sqrt{16 + 676}$

d = $\sqrt{692}$

d = 26.30589288

d = 26.31 rounded

5 0

3 years ago