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artcher [175]
2 years ago
11

Please help ASAP I’m really dumb, I’ll give u 5 stars, thank u, and make u brainliest ToT

Mathematics
1 answer:
Lina20 [59]2 years ago
3 0
Usually I just use slope calculator hope that helps
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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
What is the surface area of a cylinder with a diameter of 8 and a height of 18?Express the answer in terms of pi
viktelen [127]

Step-by-step explanation:

diameter: 8

radius: 4

height: 18

A=2\pi rh+2\pi r^2\\A=2\pi(4)(18)+2\pi(4)^2\\A=2\pi(72)+2\pi(16)\\A=144\pi+32\pi\\A=176\pi

4 0
3 years ago
Please please use explanation with answer
KIM [24]

Answer:

\large\boxed{\theta=-\dfrac{\pi}{4}+k\pi\ or\ \theta=k\pi}\ for\ k\in\mathbb{Z}

Step-by-step explanation:

\tan^2\theta+\tan\theta=0\\\\\tan\theta(\tan\theta+1)=0\iff\tan\theta=0\ \vee\ \tan\theta+1=0\\\\\tan\theta=0\Rightarrow \theta=k\pi\ \text{for}\ k\in\mathbb{Z}\\\\\tan\theta+1=0\qquad\text{subtract 1 from both sides}\\\\\tan\theta=-1\Rightarrow\theta=-\dfrac{\pi}{4}+k\pi\ \text{for}\ k\in\mathbb{Z}

5 0
3 years ago
Factor the trinomial or state that it is prime 4y²+54y-90
lidiya [134]
4y^2+54y-90=\\&#10;2(2y^2+27y-45)=\\&#10;2(2y^2+30y-3y-45)=\\&#10;2(2y(y+15)-3(y+15))=\\&#10;2(2y-3)(y+15)
6 0
3 years ago
Read 2 more answers
Normal Distribution quiz?
Leno4ka [110]
Area under ALL probability distribution curves is 1.0, because all possible outcomes are taken into account.
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3 years ago
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