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3 years ago

Simplify. (-3ab^3)^4

Mathematics

1 answer:

SVEN [57.7K]3 years ago

8 0

Answer:

$\large\boxed{(-3ab^3)^4=81a^4b^{12}}$

Step-by-step explanation:

$\text{Use}\\\\(xy)^n=x^ny^m\\\\(x^n)^m=x^{nm}\\---------------------\\\\(-3ab^3)^4=(-3)^4(a)^4(b^3)^4=81a^4b^{3\cdot4}=81a^4b^{12}$

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Answer:

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3 years ago

Clara has 9 pounds of apples. She needs 1 1/4 pounds to make one apple pie. If she sets aside 1.5 pounds of apples to make apple

Mamont248 [21]

She can make 6 pies.

Subtract 9-1.5=7.5

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3 years ago

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Step-by-step explanation:

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3 years ago

Please Help me Due today

Helen [10]

Answer:

Strong positive correlation

Step-by-step explanation:

The given scatterplot, where the data points are sloping upward:

The stronger the association of the two variables, the closer the Pearson correlation coefficient, r, will be to either +1 or -1 depending on whether the relationship is positive or negative, respectively.

If the value of the correlation coefficient is 0 < r < 1 then there is a positive linear trend and the data points are scattered around the line of best fit; the smaller the absolute value of r, the less well the data can be visualized by a single linear relationship. The closer the value of r to 0 the greater the variation around the line of best fit.

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3 years ago

Tyrone leaves city A on a moped traveling toward city B at 19 miles per hour. At the same time, Tina leaves city B on a bicycle

RoseWind [281]

Answer:

3.5 hours

Step-by-step explanation:

Lets establish two equations, one for Tyrone's and other for Tina's position on the route, which is 119 miles long. Lets take city A as the mile 0 and city B as mile 119.

So, when Tyrone stars he is in mile 0, and each hour that passes he moves 19 miles. If x is the number of hours since he left, we can say his position in terms of x is:

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g(x) = 119 - 15x

As we want them to meet, it means their position is the same, being both functions equal for some x:

f(x) = g(x)

19x = 119 - 15x

Summing 15x in both sides:

19x + 15x = 119

34x = 119

Dividing both sides by 34:

x = 119/34 = 3.5

So, they meet after 3.5 hours.

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3 years ago