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2 years ago

5

Jerome takes a math course and a science course for summer school. For every 4 hours Jerome spends studying math, he studies sci

ence for 3 hours. If Jerome spent a total of 49 hours studying last week, then how long did he study math?

1 answer:

Vikentia [17]2 years ago

8 0

Jerome studied 28 hours of Math

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Applying properties of Exponents in exercise,use the properties of exponents to simplify the expression.See example 1.

evablogger [386]

Answer: a) 15625, b) 0.2, c) 625, d) 0.008.

Step-by-step explanation:

Since we have given that

a) $(5^2)(5^3)$

As we know that

$a^m\times a^n=a^{m+n}$

So, it becomes,

$5^2\times 5^3=5^{2+3}=5^6=15625$

(b) $(5^2)(5^{-3})$

So, it becomes,

$5^2\times 5^{-3}=5^{2-3}=5^{-1}=\dfrac{1}{5}=0.2$

(c) $(5^2)^2$

As we know that

$(a^m)^n=a^{mn}$

So, it becomes,

$5^{2\times 2}=5^4=625$

(d) $5^{-3}$

$a^{-m}=\dfrac{1}{a^m}\\\\5^{-3}=\dfrac{1}{5^3}=\dfrac{1}{125}=0.008$

Hence, a) 15625, b) 0.2, c) 625, d) 0.008.

4 0

2 years ago

Help Please. Can't seem to understand how to do this. I have tried and watch over 5 videos. Can't seem to get it.

Snezhnost [94]

Answer:

The solutions are the following:

z=2(cos(π6)+isin(π6))=√3+12i

z=2(cos(2π3)+isin(2π3))=−1+i√3

z=2(cos(7π6)+isin(7π6))=−√3−12i

z=2(cos(5π3)+isin(5π3))=1−i√3

<em>hope this helps!! :) --Siveth</em>

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2 years ago

(e+3)(e-5) expanded and simplified

Zarrin [17]

Step-by-step explanation:

$(e + 3)(e - 5) \\ e \times e + e \times ( - 5) + e \times e + e \times 3 \\ { e}^{2} + ( - 5e) + {e}^{2} + 3e \\ {2e}^{2} + ( - 2e)$

In this type of math equation, you have to multiply all members from the first part with the second part.

Expanded:

$e \times e+e \times (-5)+e \times e+e \times 3$

simplified:

${2e}^{2} + ( - 2e)$

8 0

2 years ago

A recipe for 10 servings of raspberry sorbet calls for 2 cups of water, 1ż cups of granulated sugar, and 4 cups of

ehidna [41]

Answer:

$\huge\boxed{\sf 320\ servings = 4\ gallons}$

Step-by-step explanation:

1 gallon = 16 cups (STANDARD)

For 10 servings:

10 servings = 2 cups of water

10 servings = 2 / 16 gallons

10 servings = 0.125 gallons

<u>For 320 servings:</u>

10 servings = 0.125 gallons

Multiply both sides by 32

10 * 32 servings = 0.125 * 32 gallons

320 servings = 4 gallons

$\rule[225]{225}{2}$

Hope this helped!

<h3>~AH1807</h3>

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3 years ago

Read 2 more answers

Which scatterplot shows a linear association?

algol [13]

A linear association is when the shape of the scatter plot is a straight line.

Therefore, the answer would be C, as you had it, because it is showing the data in a straight line.

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2 years ago

Read 2 more answers