Simplify the expression.

StartFraction 0.5 (negative 14 + 12.6) over 9.32 + (negative 7.92) EndFraction

Answers:

Each answer has 7 as the base and a fraction as an exponent.

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Explanation:

One useful rule here is that [tex]\sqrt[n]{x^m} = x^{m/n}[/tex]. The fraction m/n is the exponent for the base x. Note how the index of the root (n) becomes the denominator of the fraction m/n. So for example if we had n = 3, then we'd be dealing with a cube root.

For part a), we have x = 7, m = 1 and n = 5 to get

[tex]\sqrt[n]{x^m}=x^{m/n}\\\\\sqrt[5]{7^1}=7^{1/5}\\\\\sqrt[5]{7}=7^{1/5}\\\\[/tex]

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Part b) is the same idea

We would find that

[tex]\sqrt[n]{x^m}=x^{m/n}\\\\\sqrt[7]{7^1}=7^{1/7}\\\\\sqrt[7]{7}=7^{1/7}\\\\[/tex]

Then apply the reciprocal to both sides. This is the same as raising both sides to the exponent -1

[tex]\sqrt[7]{7}=7^{1/7}\\\\\left(\sqrt[7]{7}\right)^{-1}=\left(7^{1/7}\right)^{-1}\\\\\frac{1}{\sqrt[7]{7}}=7^{1/7*(-1)}\\\\\frac{1}{\sqrt[7]{7}}=7^{-1/7}\\\\[/tex]

You could also use the rule that x^(-y) = 1/(x^y) when dealing with negative exponents.

In the second to last step shown above, I used the rule (x^y)^z = x^(y*z) on the right hand side.

Answer:

Gary bikes farther to get to school

Answer:

−22

Answer: 3

Step-by-step explanation:

-5 = 3y - 14

-5 + 14 = 3y -14 + 14

9 = 3y

9/3 = 3y/3

3 = y

Answer:

-5 = 3y-14

+14      +14

----------------

9 = 3y

--    ---

3     3

3 = y

Step-by-step explanation:

Answer:

Example 2:

Step-by-step explanation:

The domain is the set of x -coordinates, {0,1,2} , and the range is the set of y -coordinates, {7,8,9,10} . Note that the domain elements 1 and 2 are associated with more than one range elements, so this is not a function.

Answer:

18. What is the y-intercept of the line BC?

b) -3

Answer:

C

Step-by-step explanation:

It intercepts the horizontal line between -2 and -3, so that means that it is not a whole number. Therefore, the only answer possible is -2.3.

Answer: 16p^8q^4r^8 The yellow one

Step-by-step explanation:

Step 1: Use Multiplication Distributive Property: (xy)^a = x^a y^a. So 4^2p^2(q^3)(r^4)^2

Step 2: Simplify 4^2 to 16. So 16p^2(q^3)^2(r^4)^2

Step 3: Use Power Rule: (x^a)^b=x^ab. So 16p^2q^6(r^4)^2

Step 4: Use Power Rule: (x^a)^b=x^ab. So the answer is 16p^2q^6r^8. The yellow one

Answer:

yes both are the distance of 99mm

Answer:

yes

Step-by-step explanation:

they are equal in length

Answer:

C

Step-by-step explanation:

The degrees of a triangle add up to 180.

Angle C is already 90 degrees therefore angle A + angle B = 90 degrees.

Angle A is equal to sinA=1/2.

sinA=1/2 is equal to 30 degrees if you press 2nd, sin (1/2) into the calculator. You may also know this if you have memorized the values of trig.

90-30=60.

That leaves you with 60 degrees for angle B.

Answer:

by using Pythagoras law

p²+b²=h²

14²+x²=50²

x²=50²-14²

x=√2340=48ft is your answer

Answer:

The distributive property.

Step-by-step explanation:

The distributive property is when you distribute a number to different numbers in a parentheses. For example...

2*x would be 2x, and 2*4 would be 8.

Answer:

The value of x is 6.66

Step-by-step explanation:

For answer refer to the attachment

Related Information :-

There are 4 similarity conditions,

Answer:

4

Step-by-step explanation:

The line must have the same slope as the original in order to be considered parallel, which in this case is 4.

Answer:

C. 9

Step-by-step explanation:

the answer cant be 7 its not marked on the line

it would not be 8 because the circle is not closed therefore its not equal to wich means 8 it not right

10 is not the least amount it could be

Answer:

y (is less than or equal to) 3

Step-by-step explanation:

i hope this helps :)

The value of the inequality will be : y ≥ -10 .

Given ,

y-5 ≥ -15

Here,

y-5 ≥ -15

To solve the given inequality,

Take -5 from LHS to RHS of inequality,

y ≥ -15 + 5
y≥ -10

Thus the value of y will be equal to or greater than -10 .

Know more about inequality,

https://brainly.com/question/28984017

#SPJ6

Answer:

6/4 and can be simplified as 3/2

Step-by-step explanation:

Answer:

Possible

plz give brailiest

Step-by-step explanation:

Area of the square:

a^2: 4^2=16in^2

Area of the circle:

πr^2: π(4.5)^2= 63.6

Area of white part:

63.6 - 16 = 47.6

Probability of landing on square:

16/63.6 = 0.25

Probability of landing on white part:

63.6/16 = 3.975

Answer:

f(x)=-2x^2+32x-114

Step-by-step explanation:

Answer:

f(x) = -2x^2 + 142

Step-by-step explanation:

f(x) = -2(x - 8)^2 + 14

f(x) = -2(x)^2 - (-2)(-8)^2 + 14

f(x) = -2x^2 - (-2)(64) + 14

f(x) = -2x^2 - (-128) + 14

f(x) = -2x^2 + 128 + 14

f(x) = -2x^2 + 142

Answer:

Yes

Step-by-step explanation:

If i got it wrong my bad

Answer:

Yes. ( I don't know if they want the answer I'm thinking ). : )

Step-by-step explanation:

Answer:

4.6 miles for 5 days.

Step-by-step explanation:

37 - 14 = 23

23 divided by 5 = 4.6

Answer:

A. -80x + 24

Step-by-step explanation:

- 8( 10x - 3 )

- 8( 10x )

= - 80x

- 8 ( - 3 )

= 24

- 80x + 24

Remember, when you multiply a negative number with another negative number it will become positive

Hope this helps dude

Answer:

C

Step-by-step explanation:

Positives are bigger than negatives, so the highest is 4 and the lowest is Negative 6.

Answer:

c is the answer

Step-by-step explanation:

because when the number is negative it's lowe than a positive number and the answer "c" has the first number as a positive which that number is the greatest out of all of them in that answer

Answer:

The answer is 64

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

12 + (8 x (4 + 3) + 2) - 6

= 12 + ( 8 x 7 + 2 ) - 6

= 12 + ( 56 + 2 ) - 6

= 12 + 58 - 6

= 70 - 6

= 64