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3 years ago

Find the product. (y^2)^5 · y 8

Mathematics

2 answers:

storchak [24]3 years ago

7 0

(y^2)^5 *y^8 = y^10 *y^8 = y^18

hope this will help you

Lelu [443]3 years ago

6 0

Answer:

The product of given expressions is $y^{18}$ .

Step-by-step explanation:

The given expression is

$(y^2)^5\cdot y^8$

Use the properties of exponent to find the product.

$(y^2)^5\cdot y^8=y^{10}\cdot y^8$ $[\because (x^m)^n=x^{mn}]$

$(y^2)^5\cdot y^8=y^{10+8}$ $[\because x^mx^n=x^{m+n}]$

$(y^2)^5\cdot y^8=y^{18}$

Therefore the product of given expressions is $y^{18}$ .

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katie collected 470 cans the first week of the school project. The second week she collected 105 less than the first week. How m

valentinak56 [21]

Answer:

Katie collected 365 cans in the second week.

Step-by-step explanation:

Because Katie collected 470 cans in the first week, and 105 less in the second week, we know to subtract 105 from 470, which gives us 365 cans.

8 0

3 years ago

For a population with a mean of u = 40 and a standarddeviation of o = 8, find the z-score corresponding toeach of the following

ivann1987 [24]

Solution:

Given the mean and standard deviation;

$\mu=40,\sigma=8$

The z-score formula is;

$z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}$

(a)

$\begin{gathered} x=34,n=1 \\ \\ z=\frac{34-40}{\frac{8}{\sqrt{1}}} \\ \\ z=-0.75 \end{gathered}$

(b)

$\begin{gathered} x=34,n=4 \\ \\ z=\frac{34-40}{\frac{8}{\sqrt{4}}} \\ \\ z=-1.5 \end{gathered}$

(c)

$\begin{gathered} x=34,n=16 \\ \\ z=\frac{34-40}{\frac{8}{\sqrt{16}}} \\ \\ z=-3 \end{gathered}$

5 0

1 year ago

2 tenths is equal to____ fifths

Sunny_sXe [5.5K]

To solve this, it is easiest to set up a proportion, letting x represent the number that we don't know.

2/10 = x/5

Now, we can use cross products to simplify this proportion. Cross products sets the products of the numerator and denominator of separate fractions equal to one another. It results in the equation:

(5)(2) = (10)(x)

Let's multiply out these numbers to further simplify the equation.

10 = 10x

Finally, we have to divide both sides by 10, to get our variable x alone

x = 1

Therefore, 2 tenths is equal to 1 fifth.

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3 years ago

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juin [17]

Answer:

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Step-by-step explanation:

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allochka39001 [22]

Answer:

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3 years ago