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antiseptic1488 [7]
3 years ago
14

How do you simplify that question? For algebra 1.

Mathematics
1 answer:
motikmotik3 years ago
7 0
\left( \sqrt{x^{-3}} \right)^5 =  \left( \sqrt{ \frac{1}{x^3} } \right)^5= \frac{1}{ (\sqrt{x^3})^5 } = \frac{1}{ \sqrt{x^{15}} } = \frac{1}{x^7 \sqrt{x} }


<span>Explanation for the last step:</span>
\sqrt{x^{15}}= \sqrt{x^{14}*x}= \sqrt{x^{14}}* \sqrt{x} =x^{ \frac{14}{2} }* \sqrt{x} =x^7 \sqrt{x}

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A car traveling at a certain speed will travel 76 feet per second. How many miles will the car travel in 3.1 hours if it maintai
liubo4ka [24]
Keeping in mind that, there are 5280 feet in 1 mile, and 60 minutes in an hour and 60 seconds in each minute, thus 60*60 seconds in an hour, or 3600 seconds.

\bf \cfrac{76~\underline{feet}}{\underline{sec}}\cdot \cfrac{mile}{5280~\underline{feet}}\cdot \cfrac{3600~\underline{sec}}{hr}\implies \cfrac{76\cdot 3600~mile}{5280~hr}&#10;\\\\\\&#10;\cfrac{570~mile}{11~hr}\approx 51.\overline{81}\frac{mile}{hr}\\\\&#10;-------------------------------\\\\&#10;\textit{how many miles does it do in 3.1hrs?}\quad \cfrac{570}{11}\cdot 3.1
6 0
3 years ago
Which of the following lines is not parallel to the graph of y=4x+7. y-4x=9 4x-y=8 . 4y-x=8 8x-2y=8
DENIUS [597]

y = 4x + 7

This equation is in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. The slope of this line is 4. Parallel lines have the same slope, thus a line not parallel to this line will not have a slope of 4. Let's check which of these lines does not have a slope of 4.

y - 4x = 9

y = 9 + 4x (add 4x to both sides)

y = 4x + 9 (switch the constant and x-term)

This line has a slope of 4.

4x - y = 8

-y = 8 - 4x (subtract 4x from both sides)

y = -8 + 4x (divide both sides by -1)

y = 4x - 8 (switch the constant and x-term)

This line has a slope of 4.

4y - x = 8

4y = 8 + x (add x to both sides)

y = 8/4 + x/4 (divide both sides by 4)

y = x/4 + 2 (simplify and switch constant and x-term)

This line has a slope of 1/4. It is thus not parallel to the line y = 4x + 7.

Answer:

4y - x = 8

5 0
3 years ago
The measure of angle B is 839, and the measure of angle C is 420.
Usimov [2.4K]

Answer: C. 55 degrees

8 0
2 years ago
Help me please by solving and showing the steps:)
Lorico [155]

Answer:

-\frac{3\sqrt[3]{t} }{2}

Step-by-step explanation:

1: Write g(t) as y, resulting in y=-\frac{8}{27}t^3

2: Interchange the variables y and t, resulting in t=-\frac{8}{27}y^3

3: Multiply both sides by 27, resulting in 27t=-8y^3

4: Divide both sides by -8, resulting in -\frac{27t}{8}=y^3

5: Find the cube root of both sides, resulting in \sqrt[3]{-\frac{27t}{8} }=y

6: Apply a radical rule, resulting in -\sqrt[3]{\frac{27t}{8} } =y

7: Apply another radical rule, resulting in -\frac{\sqrt[3]{27t} }{\sqrt[3]{8} } =y

8: Simplify the denominator, resulting in  -\frac{\sqrt[3]{27t} }{2} =y

9: Apply yet another radical rule, resulting in -\frac{\sqrt[3]{27}\sqrt[3]{t}   }{2} =y

10: Simplify \sqrt[3]{27}, resulting in -\frac{3\sqrt[3]{t}   }{2} =y

3 0
2 years ago
A flower shop acquired 80 new customers last year. Costs in the marketing and sales areas were the following:
icang [17]

Using proportions, it is found that the Customer Acquisition Cost was of $1,215.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount.

In this problem, the customer acquisition cost is the spending in sales divided by the number of customers added.

80 customers were added, considering costs of 1200 + 9000 + 87000 = $97,200, hence:

97200/80 = $1,215.

More can be learned about proportions at brainly.com/question/24372153

5 0
1 year ago
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