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3 years ago

Plss help im bad at math:v 100 points!

Mathematics

1 answer:

vlabodo [156]3 years ago

5 0

$\mathbb{MY \: ANSWER}$

35.A

36.C

37.B

38.B

39.D

Step-by-step explanation:

Hope it helps

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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)

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2 years ago

What is 40 3/4 as a decimal

soldier1979 [14.2K]

Answer:

40.75

Step-by-step explanation:

3/4 = 0.75

40 + 0.75= 40.75

4 0

3 years ago

Please help this is due in 5 minutes

Brilliant_brown [7]

1st one Explains Wht it is and y.

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3 years ago

A number is no less than 13. On a number line

Gennadij [26K]

Answer:

greater than or equal to 13 line with closed dot going to the right

Step-by-step explanation:

13●·------> but put the closed dot on the 13

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2 years ago

Find the area for the figure below. Use 3.14 for pi.

Akimi4 [234]

Answer:

1228.31 mm^2

Step-by-step explanation:

The area for the circle is

(20^2*3.14)/2

The area for the rectangle

30*20

Total area

1228.31

6 0

3 years ago

Plss help im bad at math:v​ 100 points!

Plss help im bad at math:v 100 points!