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Eduardwww [97]
3 years ago
14

6-4 Homework G

Mathematics
1 answer:
Westkost [7]3 years ago
5 0

Answer: Distance of earth from star = 24.78\times10^{14}\text{ miles}

Step-by-step explanation:

Given: A certain star is 4.2 \times 10^2 light years from the Earth.

One light year is about 5.9 \times 10^{12} miles.

Distance of earth from star = 4.2\times10^2\times 5.9\times10^{12}

=4.2\times5.9\times10^2\times10^{12}\text{ miles}\\\\=24.78\times10^{2+12}\text{ miles}\\\\=24.78\times10^{14}\text{ miles}

Hence, Distance of earth from star = 24.78\times10^{14}\text{ miles}

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quadrant 3

Step-by-step explanation:

Cuz x and y are in the negative if they’re both less than 0

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3 years ago
Five tickets to a baseball game cost 60 dollars how much does 2 tickets cost
LUCKY_DIMON [66]

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3 years ago
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Marcos make his famous salad Jackson by mixing 5 1/4 ounces of olive oil with one and a half ounces of vinegar. How much vinegar
Anika [276]

Answer:

8 ounces of vinegar

36 ounces of dressing

Step-by-step explanation:

Marco makes his famous salad Jackson by mixing 5 1/4 ounces of olive oil with 1 1/2 ounces of vinegar.

Olive oil                 Vinegar

5 1/4                           1 1/2

28                                x

Write a proportion:

\dfrac{5\frac{1}{4}}{28}=\dfrac{1\frac{1}{2}}{x}\\ \\5\dfrac{1}{4}\cdot x=28\cdot 1\dfrac{1}{2}\ [\text{Cross multiply}]\\ \\\dfrac{21}{4}x=28\cdot \dfrac{3}{2}\\ \\\dfrac{21 x}{4}=42\\ \\x=42\div \dfrac{21}{4}\\ \\x=42\cdot \dfrac{4}{21}\\ \\x=2\cdot 4\\ \\x=8\ ounces

Marco will make

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8 0
3 years ago
Complete the recursive formula of the arithmetic sequence - 1, - 13, - 25, - 37
barxatty [35]

Answer:

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Step-by-step explanation:

Recursion is a process in which each step of a pattern depends on the step or the previous steps. So a recursive sequence is a sequence where terms are defined using one or more previous terms that are given.

So a recursive formula allows you to find any term in an arithmetic sequence using a function of the previous term, where each term is the sum of the previous term and the common difference.

So, in this case you can see the common difference of all the terms by doing the following calculations between a term and its previous value:

-13-(-1)=-13+1=-12

-25-(-13)=-25+13=-12

-37-(-25)=-37+25=-12

The common difference is -12

So, <u><em>the recursive formula is aₙ=aₙ₋₁ -12   where each term is the same to the previous term minus 12.</em></u>

7 0
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