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professor190 [17]
2 years ago
10

This sphere has a radius of 3 cm. What is the surface area of the sphere?

Mathematics
1 answer:
Oduvanchick [21]2 years ago
5 0
Hope this helps! Mark brainly please!

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Solve the following logarithmic equations.<br> ln(x^6) = 36
Hoochie [10]

Answer:

The solution is x = e⁶

Step-by-step explanation:

Hi there!

First, let´s write the equation

ln(x⁶) = 36

Apply logarithm property: ln(xᵃ) = a ln(x)

6 ln(x) = 36

Divide both sides of the equation by 6

ln(x) = 6

Apply e to both sides

e^(ln(x)) = e⁶

x = e⁶

The solution is x = e⁶

Let´s prove why e^(ln(x)) = x

Let´s consider this function:

y = e^(ln(x))

Apply ln to both sides of the equation

ln(y) = ln(e^(ln(x)))

Apply logarithm property: ln(xᵃ) = a ln(x)

ln(y) = ln(x) · ln(e)         (ln(e) = 1)

ln(y) = ln(x)

Apply logarithm equality rule: if ln(a) = ln(b) then, a = b

y = x

Since y = e^(ln(x)), then x =e^(ln(x))

Have a nice day!

8 0
3 years ago
Each of the following tables defines a relationship between an input x and an output y. Which of the relationship respresent fun
sveticcg [70]

Answer:

wat

Step-by-step explanation:

nose

6 0
3 years ago
A class is going on a field trip to see a movie. Each ticket is $10.00. The number of students, n, who will receive a $10.00 tic
o-na [289]
10 n = C

Finding the total would simply be multiplying the cost of the tickets by number of students.
8 0
3 years ago
Read 2 more answers
Suppose that $2000 is invested at a rate of 2.6% , compounded semiannually. Assuming that no withdrawals are made, find the tota
EleoNora [17]

Answer:

$2,589.52

Step-by-step explanation:

A = P(1 + \dfrac{r}{n})^{nt}

We start with the compound interest formula above, where

A = future value

P = principal amount invested

r = annual rate of interest written as a decimal

n = number of times interest is compound per year

t = number of years

For this problem, we have

P = 2000

r = 0.026

n = 2

t = 10,

and we find A.

A = $2000(1 + \dfrac{0.026}{2})^{2 \times 10}

A = $2589.52

8 0
3 years ago
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A second game uses spinner B. A player must spin a Wto win. Explain how to find the experimental probability of spinning a W.
Volgvan

Answer:

sorry foe being late

Step-by-step explanation:

8 0
3 years ago
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