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zvonat [6]
3 years ago
8

Assume that the radius r of a sphere is expanding at a rate of 50 cm/min. Determine the rate of change in surface area at t = 2

min, assuming that r = 20 at t = 0
Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
4 0
Hay if you neeed help look up math papa  this wedsite will realy help you
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
Mrs. Mott called two companies about getting new uniforms for the soccer team. The first company she called charges $70 per unif
Fittoniya [83]

Answer:

For less than 7 uniforms.

Step-by-step explanation:

The first company she called charges $70 per uniform.

So, the cost of x uniforms will be $70x.

The second company she called charges $280 plus $30 per uniform.

So, the cost of x uniform will be $(280 + 30x).

Now, if the total cost of purchasing x number of uniforms from the first company is less than that from the second company then, we can write the inequality equation as  

70x < 280 + 30x

⇒ 70x - 30x < 280

⇒ 40x < 280

⇒ x < 7

Therefore, for less than 7 uniforms the cost from the first company will be less than the cost from the second company. (Answer)

5 0
3 years ago
Simplify.<br> 8^15 : 8^-3<br> asap please
torisob [31]

Answer:

8^1^5 = 3.5184372e+13\\8^-^3=0.001953125.

Step-by-step explanation:

hope this helps.

3 0
2 years ago
Read 2 more answers
Find the value of x?
jekas [21]
Hello!
The left triangle have two same side length so the two bottom angles are the same which is (180-56)/2=62
See the left triangle bottom right angle and the right triangle bigger angle have the sum of 180 degree so the bigger angle=180-62=118
The right triangle also have two same sides so they also have same angle degree so x=(180-118)/2=31
Have a great day!
4 0
3 years ago
You roll a 6 sided cube, what is the probability of rolling a multiple of 2 or a number greater than 3?
vova2212 [387]
The probability of rolling a multiple 2 or a number greater than 3 is 1/3
7 0
3 years ago
Read 2 more answers
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