2 years ago

What is the LCM of 120 and 150

Mathematics

1 answer:

Mrac [35]2 years ago

4 0

The LCM of 120 and 150 is 600

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Find the equivalent exponential expression. [(-4)^5]^3

Sunny_sXe [5.5K]

Answer:

$-4^{15}$

Step-by-step explanation:

Given expression:

$\left[(-4)^5\right]^3$

$\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:$

$\implies (-4)^{(5 \times 3)}$

$\implies (-4)^{15}$

$\textsf{Apply exponent rule} \quad (-a)^n=-a^n,\:\: \textsf{ if }n \textsf{ is odd}:$

$\implies -4^{15}$

4 0

1 year ago

Determine the value of x to the nearest thousandth in the equation 8(2)^x+3=48

solong [7]

You probably mean either

$8\cdot2^x + 3 = 48$

$8\cdot2^{x+3} = 48$

Write 8 = 2³, so that in the first interpretation,

$8\cdot2^x = 2^3 \cdot 2^x = 2^{x + 3}$

and in the second,

$8\cdot2^{x+3} = 2^3 \cdot 2^{x+3} = 2^{x + 6}$

Then in the first interpretation, we have

$2^{x + 3} + 3 = 48 \implies 2^{x + 3} = 45 \implies x + 3 = \log_2(45) \implies x = \log_2(45) - 3 \approx \boxed{2.492}$

Otherwise, the second interpretation gives

$2^{x + 6} = 48 \implies x + 6 = \log_2(48) \implies x = \log_2(48) - 6 \approx -0.415$

8 0

2 years ago

Which is closest to -1? -0.28, -4/5, -1/5, -0.82

faust18 [17]

Answer:

-1/5

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

In the equation y = -x/4 what is the unit rate?

stepladder [879]

0.25 is going to be the unit rate when -x in the equation is considered to be 1

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2 years ago

What is the circumference of the circle is the top is 6

kaheart [24]

C = d × pi
C = 6 × 3.14
C = 18.84

7 0

3 years ago

What is the LCM of 120 and 150​

What is the LCM of 120 and 150