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natka813 [3]
1 year ago
9

Which equation justifies why seven to the one third power equals the cube root of seven?

Mathematics
1 answer:
Rudiy271 year ago
4 0

The equation that  justifies why seven to the one third power equals the cube root of seven is seven to the one third power all raised to the third power equals seven to the one third times three power equals seven

<h3>How to solve an equation?</h3>

using indices law,

\sqrt[n]{x}  = x^{1 / n}

Therefore, let's justify

7^{1/3}  = \sqrt[3]{7}

Hence, the justification is as follows;

(7^{1 /3}) ^{3} =(7^{1/3})^{3}  = 7

Therefore, the justification of is that seven to the one third power all raised to the third power equals seven to the one third times three power equals seven

learn more on equation here: brainly.com/question/13426221

#SPJ1

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Factor completely<br> x^2 - 3x - 28
lbvjy [14]

Answer:

(x-7)  (x+4)

Step-by-step explanation:

x^2 - 3x - 28

What two numbers multiply to -28 and add to -3

-7*4 = -28

-7+4 = -3

(x-7)  (x+4)

5 0
2 years ago
Read 2 more answers
Determine whether the relation is a function: {(6, 1), (8, –3), (6, 7)}.
ICE Princess25 [194]

Hello there! The answer would be the first one, or No. At least one output results in two inputs.

When dealing with functions: you must remember that x does not repeat. So, lets look at the relation given, {(6, 1), (8, –3), (6, 7)}. You can see that x does repeat, so this is not a function. This eliminates second and fourth option choices. Out of the options A and C, A would be your choice since x is the input value and y is the output value, and there are two input values.

Hope his helps and have a  great day!

5 0
3 years ago
Katrina drinks 0.5 gallons of water per day which expression shows how to find the number of cups of water she drinks in a week
kobusy [5.1K]

Answer:

56 cups of water

Step-by-step explanation:

Katrina drinks 0.5 gallons of water per day

We have 7 days in a week, hence, the number of gallons of water she drinks per week is calculated as:

1 day = 0.5 gallons

7 days = x

Cross Multiply

1 day × x = 7 days × 0.5 gallons

x = 7 days × 0.5 gallons/1 day

x = 3.5 gallons

Note that 16 cups = 1 gallon

The number of cups of water she drinks per week is

1 gallon = 16 cups

3.5 gallons = x

Cross Multiply

1 gallons × x = 3.5 gallons × 16 cups

x = 3.5 gallons × 16 cups/1 gallons

x = 56 cups

Therefore, Katrina drinks 56 cups of water in a week

3 0
2 years ago
The coffee Lily likes is composed of 97.3% water and 2.7% cocoa. The coffee John likes is composed of 96% water and 4% cocoa. Ho
mestny [16]

30 ounces of the coffee John likes consists of

  • 0.96\cdot30=28.8 ounces of water
  • 0.04\cdot30=1.2 ounces of cocoa

To this mixture we're adding x ounces of water, so that the new mix has a total volume of 30+x ounces and matches the composition of the coffee Lily likes. This means it would consist of

  • 0.973\cdot(30+x)=28.8+x ounces of water
  • 0.027\cdot(30+x)=1.2 ounces of cocoa (same amount of cocoa as before because pure water is being added)

Solve for x:

0.973(30+x)=28.8+x\implies29.12+0.973x=28.8+x

\implies0.39=0.027x

\implies x\approx14.4

###

Just to confirm: the new mixture consists of

  • 28.8+14.4=43.2 ounces of water
  • 1.2+0=1.2 ounces of cocoa

giving a total volume of 43.2+1.2=44.4 ounces of coffee, and \dfrac{43.2}{44.4}\approx0.973, as required.

4 0
3 years ago
1) Simplify the following expressions: a) sin²108° + sin² 18° ​
abruzzese [7]

Note that

108° = 90° + 18°

so

sin(108°) = sin(90° + 18°) = sin(90°) cos(18°) + cos(90°) sin(18°) = cos(18°)

Then

sin²(108°) + sin²(18°) = cos²(18°) + sin²(18°) = 1

by the Pythagorean identity.

8 0
2 years ago
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