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3 years ago

Simplify (6x^-2)^2 (0.5x)^4 Show your work PLEASE HELP THANK YOU!

Mathematics

1 answer:

goldenfox [79]3 years ago

6 0

Use Multiplication Distribute Property: (xy)^a = x^ay^a

6^2(x^-2)^2(0.5x)^4

Simplify 6^2 to 36

36(x^-2)^2(0.5x)^4

Use this rule: (x^a)^b = x^ab

36x^-4(0.5x)^4

Use the Negative Power Rule: x^-a = 1/x^a

36 × 1/x^4(0.5x)^4

Use the Multiplication Distributive Property: (xy)^a = x^ay^a

36 × 1/x^4 × 0.5^4x^4

Simplify 0.5^4 to 0.0625

36 × 1/x^4 × 0.0625x^4

Simplify

2.25x^4/x^4

Cancel x^4

2.25

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○ + ○ + ○= 30 ○ + ¤¤ + ¤¤= 18 ¤¤ - ☆☆= 2 ☆ + ○ × ¤= ? What is the ?

Shtirlitz [24]

○ + ○ + ○= 30

○ + ¤¤ + ¤¤= 18

¤¤ - ☆☆= 2

☆ + ○ × ¤= ?

○ =10

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☆☆= 2 so ☆ = 1

○ + ○ + ○ = 10 + 10 + 10 = 30 ...correct

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3 years ago

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mars1129 [50]

Answer:

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Step-by-step explanation:

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3 years ago

Lucky Charms are sold in boxes with an advertised mean weight of 20.5 oz. The standard deviation is known to be 2.25 oz. A consu

Alinara [238K]

Answer:

Set of hypothesis.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 20.5 oz

Sample mean, $\bar{x}$ = 20.4 oz

Sample size, n = 50

Population standard deviation, σ = 2.25 oz

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 20.5\text{ oz}\\H_A: \mu < 20.5\text{ oz}$

We use One-tailed z test(left tailed) to perform this hypothesis.

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{20.4 - 20.5}{\frac{2.25}{\sqrt{50}} } = -0.3142$

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4 years ago

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4 0

3 years ago

A phone company offers to monthly plans. Plan a cost $23 plus an additional $.08 for each minute of calls. Plan B cost $19 an ad

Anettt [7]

Answer:

The indifference point is 100 minutes.

Step-by-step explanation:

Giving the following information:

Plan a cost $23 plus an additional $.08 for each minute of calls.

Plan B cost $19 an additional $.12 for each minute of calls.

First, we need to establish the total cost formula for each plan:

Plan A= 23 + 0.08*x

Plan B= 19 + 0.12*x

x= number of minutes

Now, to calculate the indifference point, we equal both formulas and isolate x:

23 + 0.08x = 19 + 0.12x

4 = 0.04x

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The indifference point is 100 minutes.

Prove:

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Plan B= 19 + 0.12*100= $31

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3 years ago