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2 years ago

Five times the sum of a number and 6

Mathematics

1 answer:

Aleks04 [339]2 years ago

6 0

5(x+6) is the answer you are looking for. x represents a number

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Find the exact volume of a sphere with a radius of 6 inches

ladessa [460]

Answer:

904.778 in.

Step-by-step explanation:

Formula for volume of sphere:

4/3×(3.1426)×(radius)^3

=904.778 inches

4 0

2 years ago

Simplify<br> 5т — п — 5п + 2

grigory [225]

Answer:

5t-4n+2

Step-by-step explanation:

n-5n=-4n

5t-4n+2

8 0

2 years ago

Help me out 7th grade math

Dmitrij [34]

Answer:

x=9

Step-by-step explanation:

5+18=23

50-23=27

27/3=9

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2 years ago

PLEASE HELP! DUE TODAY :))

Aleonysh [2.5K]

Step-by-step explanation:

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2 years ago

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