Simplify. Write each answer in scientific notation. 15. (6 ˣ 10^-5)^3
19. 3 ˣ 10^-2 / 8 ˣ 10^-1
20. 4.1 ˣ 10^-4 / 1.28 ˣ 10^-5
21. 1.91 ˣ 10^3 / 5 ˣ 10^-4

Answers

Answer 1

Answer: Scientific notation is always supposed to be

(a number between 1 and 10) x 10^whatever power.

15. (6 x 10⁻⁵)³

The 'cube' works on everything inside the parentheses ...
the 6 and the 10⁻⁵ .

So this thing is (6)³ x (10⁻⁵)³ .

That's (216) x (10⁻¹⁵) . After cleaning up, it's 2.16 x 10⁻¹³ .

19. 3 ˣ 10⁻² / 8 ˣ 10⁻¹

This mess can be written in a slightly different way,
and it may be clearer to you that way:

(3/8) x (10⁻²/10⁻¹)

The 3/8 is 0.375 .
The second factor is 10⁻¹ .

So we have 0.375 x 10⁻¹ . After cleanup, it's 3.75 x 10⁻² .

20. 4.1 ˣ 10⁻⁴ / 1.28 ˣ 10⁻⁵

Write it like this: (4.1/1.28) x (10⁻⁴/10⁻⁵)

The first part is 4.1/1.28 = 3.203125 .

The second part is (10⁻⁴/10⁻⁵) = 10¹

So it boils down to 3.203125 x 10¹ .

21. 1.91 ˣ 10³ / 5 ˣ 10⁻⁴

Write it like this: (1.91/5) x (10³/10⁻⁴)

First part: 1.91/5 = 0.382

Second part: (10³/10⁻⁴) = 10⁷

Put um together: 0.382 x 10⁷ . After cleanup: 3.82 x 10⁶ .

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My grandparents have four grandchildren. The product of the ages of the four grandchildren is 67 184. The youngest grandchild is younger than 10, and is also 30 years younger than the oldest grandchild.Determine all possibilities for the ages of my grandparents’ grandchildren.

Answers

Answer:

The possible ages of the four grandchildren are a = 4, b = 19, c = 26, and d = 34

Step-by-step explanation:

The given parameters are;

The number of grandchildren in the family = 4

The product of the ages of the four grand children = 67184

The age of the youngest grandchild < 10

The age of the oldest grandchild = 30 + The age of the youngest grandchild

Let a represent the age of the youngest grandchild, and let b, and c represent the ages of the other two intermediate grandchild

Therefore, we have;

a < 10

The age of the oldest grandchild = a + 30 < 10 + 30

∴ The age of the oldest grandchild < 40

The product of the ages of the four grandchildren = a × b × c × (a + 30) = 67184

The factors of 67184 that are between 1 and 40 are;

1, 2, 4, 8, 13, 16, 17, 19, 26, 34, 38

Taking a = 8, we have;

The age of the oldest grandchild × The age of the youngest grandchild = a × (a + 30) = 8 × 38 = 342

Therefore. a × b = 67184/(a × (a + 30) = 196.44

Therefore, a ≠ 8

For a = 4, we have the age of the oldest grandchild = a + 30 = 4 + 30 = 34

The age of the oldest grandchild × The age of the youngest grandchild = a × (a + 30) = 4 × 34 = 136

Therefore. a × b = 67184/(a × (a + 30) = 494

We find that the other factors of 67184, which are 19 and 26 have a product of 494

Therefore, the possible ages of the four grandchildren are a = 4, b = 19, c = 26, and d = 34

To give, 4 × 19 × 26 × 34 = 67,184.

Sean has 1/5 of a cupcake and 1/5 of a large cake. are the wholes the same?

Answers

yes they are because its the same two numbers.

Yes they are the same...

Name the property illustrated. 5 + 7 + 9 = 5 + 9 +7

Answers

The Commutative Property, since they both have the same solution.

Thanks for your question! Please choose my answer as the brainliest so I can help you with all your questions!

That is the Commutative Property of Addition because they add up to the same exact thing here is an example a + b = b + a

Evaluate u+ xy for u=9, x=9, y=7

Answers

u+xy
On replacing for u, x and y.
=9+9*7
=9+63
=72

Whats the formula for finding fun differential

Answers

Answer:

A team's run differential is determined by subtracting the total number of runs (both earned and unearned) it has allowed from the number of runs it has scored.

Step-by-step explanation:

In baseball, run differential is a cumulative team statistic that combines offensive and defensive scoring. Run differential is calculated by subtracting runs allowed from runs scored. Run differential is positive when a team scores more runs than it allows; it is negative when a team allows more runs than it scores.

Given f(x) = 3x – 5, what is f(–4)?A.7

B.-6

C.one-third

D.-17