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3 years ago

Which expression is equivalent to 32 + 16?

Mathematics

1 answer:

almond37 [142]3 years ago

6 0

Answer:

all we have to do is find a expression that equals 48. 8(4+2)=48. 8(24+8)=256. 7(4+2)=42. 7(24+8)=224. Therefore, the expression that is equivalent to 32+16 is 8(4+2).

Step-by-step explanation:

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What is the true solution to the equation below?

jarptica [38.1K]

Answer:

Step-by-step explanation:

some rules of logarithmic function

$ln(a) - ln(b)=ln(\frac{a}{b})$

$e^{ln(a)}=a$

$ln(a)^{n}=nln(a)$ vice-versa $nln(a)=ln(a)^{n}$

If ㏑(a) = ㏑(b), then a = b

∴ $2ln(e^{ln(2x)})-ln(e^{ln(10x)})=ln(30)$

Use the 2nd rule to simplify it

$e^{ln(2x)}=2x\\e^{ln(10x)}=10x\\$

2㏑(2x) - ㏑(10x) = ㏑(30)

Use the 3rd rule in the 1st term

∵ 2㏑(2x) = ㏑(2x)² = ㏑(4x²)

∴ ㏑(4x²) - ㏑(10x) = ㏑(30)

- Use the 1st rule with the left hand side

$ln(4x^{2})-ln(10x)=ln(\frac{4x^{2}}{10x})\\\\ln(\frac{4x^{2}}{10x})=ln(30)\\\\ \frac{4x^{2}}{10x}=\frac{2x}{5}=\frac{2}{5}x\\\\ ln(\frac{2}{5}x)=ln(30)$

Use the 4th rule

$\frac{2}{5} x = 30$

Multiply both sides by 5

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- Divide both sides by 2

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3 years ago

if you flip a coin and roll a 6-sided die, what is the probability that you will flip a tails and roll a 2 ?

REY [17]

Answer:

5/12

Step-by-step explanation:

I was on Khan Academy, and it said that the answer is 5/12 by 1/2 times 5/6.

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