All categories

3 years ago

Write the expression as a power. 3^12 * 27

Mathematics

1 answer:

11Alexandr11 [23.1K]3 years ago

3 0

<h3>Answer: 3^15</h3>

Work Shown:

3^12 * 27

3^12 * 3^3

3^(12+3)

3^15

I used the rule a^b*a^c = a^(b+c) on the third step.

You might be interested in

Emiliana pays 6% sales tax on a cupcake that costs 3 dollars. How much does the sales tax add to the purchase price?

Gala2k [10]

Answer:3.06

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Everett and Marie are going to make brownies for their family reunion. They want to make 4 times the amount the recipe makes. If

denis-greek [22]

8/3 cups or 2 2/3
2/3 × 4/1 = 8/3
if u divide 3 into 8 it gives u 2 times with 2 places left
the 2 places equal 2/3
2 whole OR 6/3 + 2/3 = 8/3 OR 2 and 2/3

3 0

3 years ago

To estimate the quotient 98.3 divides by 52.6 Brady used compatible numbers 100 dived by 5 =20. Is his estimate reasonable ? Exp

marissa [1.9K]

No, not reasonable.

98.3 divides by 52.6

Brady used compatible numbers 100 divided by 5 =20

He should've used 100 divided by 50 = 2

7 0

3 years ago

Factor 140c + 28 - 14a to identify the equivalent expressions.

Feliz [49]

Answer:

The answer to your question are letters A, C and D.

Step-by-step explanation:

To factor this polynomial we need to look for the common factor of the three terms.

To find it, get the greatest common factor

140 28 14 2

70 14 7 2

35 7 7 5

7 7 7 7

1 1 1

Greatest common factor = 2 x 7 = 14

Factor the polynomial

140c + 28 - 14a = 14 ( 10c + 2 - a)

Factor only 7 7(20c + 4 - 2a)

Factor only 2 2 (70c + 14 - 7a)

8 0

3 years ago

An appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W. From pre

Shtirlitz [24]

Answer:

Null Hypothesis, $H_0$ : $\mu \leq$ 250 W

Alternate Hypothesis, $H_A$ : $\mu$ > 250 W

Step-by-step explanation:

We are given that an appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W.

They take a sample of 20 microwave ovens and find that they consume a mean of 257.3 W.

Let $\mu$ = mean power consumption of microwave ovens.

So, Null Hypothesis, $H_0$ : $\mu \leq$ 250 W

Alternate Hypothesis, $H_A$ : $\mu$ > 250 W

Here, null hypothesis states that the mean power consumption of microwave ovens is no more than 250 W.

On the other hand, alternate hypothesis sates that the mean power consumption of microwave ovens is more than 250 W.

The test statistics that would be used here is One-sample z test statistics as we know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

Hence, this would be the appropriate hypotheses to determine if the manufacturer's claim appears reasonable.

5 0

3 years ago