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3 years ago

What is the product? (3a^2b^4)(-8ab^3)

Mathematics

2 answers:

topjm [15]3 years ago

7 0

Answer:

-24a^3 b^7

Step-by-step explanation:

(3a^2b^4)(-8ab^3)

Step 1: Multiply the coefficients

= -24a^2. b^4. a. b^3

Step 2: Using the exponent rule : a^m.a^n = a^(m +n)

If we have to the same base, we can add the powers.

Applying the rule, we get

= -24.a^(2 +1).b^(4 +3)

= -24a^3 b^7.

Answer is -24a^3 b^7.

Hope this will helpful.

Thank you.

sdas [7]3 years ago

5 0

-24a^3b^7 you multiply the two numbers and add the exponents.

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Redwood hope this helps

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3 years ago

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liberstina [14]

Answer:

the only solution is 0

Step-by-step explanation:

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3 years ago

Read 2 more answers

Suppose that public opinion in a large city is 55% in favor of increasing taxes to support renewable energy and 45% against such

Harman [31]

Answer:

The approximate probability that more than 360 of these people will be against increasing taxes is P(Z> 0.6-0.45)

√0.45*0.55/600

The right answer is B.

Step-by-step explanation:

According to the given data we have the following:

sample size, h=600

probability against increase tax p=0.45

The probability that in a sample of 600 people, more that 360 people will be against increasing taxes.

We find that P(P>360/600)=P(P>0.6)

The sample proposition of p is approximately normally distributed mith mean p=0.45

standard deviation σ=√P(1-P)/n=√0.45(1-0.45)/600

If x≅N(u,σ∧∧-2), then z=(x-u)/σ≅N(0,1)

Now, P(P>0.6)=P(P-P > 0.6-0.45)

σ √0.45*0.55/600

=P(Z> 0.6-0.45)

√0.45*0.55/600

8 0

4 years ago

The data list shows the scores of ten students in Mr. Smith's math class. 61, 67, 81, 83, 87, 88, 89, 90, 98, 100 What is the st

cluponka [151]

Answer:

12.3

Step-by-step explanation:

Step 1

We find the mean

The data list shows the scores of ten students in Mr. Smith's math class. 61, 67, 81, 83, 87, 88, 89, 90, 98, 100

Mean = Sum of terms/Number of terms

Number of terms = 10

Mean = 61 + 67 + 81 + 83 + 87 + 88 + 89 + 90 + 98 + 100/10

Mean = 844/10

Mean = 84.4

Step 2

Standard deviation

The formula for sample standard deviation =

√(x - Mean)²/n - 1

= √[(61 - 84.4)² + (67 - 84.4)² + (81 - 84.4)² + (83 - 84.4)² + (87 - 84.4)² + (88 - 84.4)² + (89 - 84.4)² + (90 - 84.4)² + (98 - 84.4)² + (100 - 84.4)²]/10 - 1

=√ 547.56 + 302.76 + 11.56 + 1.96 + 6.76 + 12.96 + 21.16 + 31.36 + 184.96 + 243.36/10 - 1

= √1364.4/9

= √151.6

= 12.31259518

Approximately to the nearest tenth = 12.3

The standard deviation = 12.3

6 0

3 years ago

Find the distance between the points (-1,-2) and (5,2). Simplified radical form.

frozen [14]

Answer:

2 $\sqrt{13}$

Step-by-step explanation:

Using the distance formula,

$\sqrt{( x_{2}-x_{1} )^2+(y_{2} -y_{1})^2 }$

We just need to plug in the numbers.

So $\sqrt{(-1-5)^2+(-2-2)^2}$

Then we simplify it to

$\sqrt{(-6)^2+(-4)^2} , to \sqrt{36+16}$

Finally, we get

$\sqrt{52}$ , which is $2\sqrt{13}$ when simplified.

3 0

3 years ago