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2 years ago

2 Points

Mathematics

2 answers:

DerKrebs [107]2 years ago

6 0

Answer:13.1

Step-by-step explanation:find the area. r squared times pi and then multiply that by 60/360

Ne4ueva [31]2 years ago

4 0

Answer: A=52.3

Step-by-step explanation:

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3^x= 3*2^x solve this equation

kompoz [17]

In the equation

$3^x = 3\cdot 2^x$

divide both sides by $2^x$ to get

$\dfrac{3^x}{2^x} = 3 \cdot \dfrac{2^x}{2^x} \\\\ \implies \left(\dfrac32\right)^x = 3$

Take the base-3/2 logarithm of both sides:

$\log_{3/2}\left(\dfrac32\right)^x = \log_{3/2}(3) \\\\ \implies x \log_{3/2}\left(\dfrac 32\right) = \log_{3/2}(3) \\\\ \implies \boxed{x = \log_{3/2}(3)}$

Alternatively, you can divide both sides by $3^x$ :

$\dfrac{3^x}{3^x} = \dfrac{3\cdot 2^x}{3^x} \\\\ \implies 1 = 3 \cdot\left(\dfrac23\right)^x \\\\ \implies \left(\dfrac23\right)^x = \dfrac13$

Then take the base-2/3 logarith of both sides to get

$\log_{2/3}\left(2/3\right)^x = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x \log_{2/3}\left(\dfrac23\right) = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x = \log_{2/3}\left(3^{-1}\right) \\\\ \implies \boxed{x = -\log_{2/3}(3)}$

(Both answers are equivalent)

8 0

2 years ago

Can some one solve this

Roman55 [17]

Well, first you have to convert to one unit... then simplify
D:H
150m:16500cm
150m:160m
150:160
30:33
10:11

7 0

3 years ago

If LM = 4x, MN = x + 1, and LN = 6, what is MN?

Ilia_Sergeevich [38]

The value of the MN is 2 according to the assumption on the number line.

According to the statement

We have to find that the value of the MN with the help of the value of the x.

So, For this purpose, we know that the

A number line is a horizontal line that has equally spread number increments.

Now,

Assuming that L, M, and N are points on a number line with L < M < N,

According to the assumption, the equation become

4x + x+1 = 6

5x +1 =6

5x =5

x = 1.

Now, the value of the MN become:

MN = x + 1

MN = 1 + 1

MN = 2.

So, The value of the MN is 2 according to the assumption on the number line.

Learn more about number line here

brainly.com/question/4727909

#SPJ9

7 0

1 year ago

Wesley jogs 10 miles each weeks. Then he jogs 20 miles each week for 3 weeks how many miles does Wesley jog in 5 week?

Kruka [31]

I think he would jog 80 miles in 5 weeks
20+20+20+10+10=80

6 0

3 years ago

Diego is 59.5 inches tall. His brother is 40.125 inches tall. How much taller than his brother is Diego?

Paha777 [63]

Answer:

Hello!!

Diego is 59.5 inches tall. His brother is 40.125 inches tall. How much taller than his brother is Diego?

Diego is 19.375 inches taller than his brother.

Step-by-step explanation:

$59.5-40.125=19.375$

Hope this helps!!

6 0

2 years ago