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Lana71 [14]
3 years ago
9

Which can be used to solved the expression (r^-4)^3

Mathematics
1 answer:
Oksana_A [137]3 years ago
3 0

Answer:

The expression is equal to 1 over 12 factors of r

Multiplying the exponents will create an equivalent expression.

Step-by-step explanation:

We are given the following in the question:

(r^-^4)^3

<h3>Properties of exponent: </h3>

(x^m)^n=x^m^n

x^-^a=\frac{1}{x^a}

Thus, we can simplify the given expression as:

(r^-^4)^3

= r^-^1^2

= \frac{1}{r^1^2}

Thus, the correct answer is:

Option 2) The expression is equal to 1 over 12 factors of r

Option 4) Multiplying the exponents will create an equivalent expression.

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What is the value expression to 3 1/4 - 1 7/8 =show how?
Andrei [34K]
3 1/4 - 1 7/8
First, subtract the whole numbers (3 - 1 = 2):           
= 2 1/4 - 7/8
Convert 1/4 to 2/8:
= 2 2/8 - 7/8
Borrow 1=8/8 from the 2:
= 1 10/8 - 7/8
Subtract 7/8 from 10/8:
= 1 3/8

The answer is 1 3/8

Alternatively, use improper fractions:
3 1/4 = 13/4 = 26/8
1 7/8 = 15/8
26/8 - 15/8 = 11/8 = 1 3/8
3 0
3 years ago
9. A car dealership offers a loan with 4% interest for 48 months, and you plan to purchase a car for $20,000. You can afford a d
Lady bird [3.3K]

SOLUTION

Since you can afford a down payment of $2,500, the remaining money needed to purchase the car becomes

\begin{gathered} 20,000-2,500 \\ =17,500 \end{gathered}

Now, we will find the simple interest on $17,500 for 48 months, which is 4 years. This becomes

\begin{gathered} I=\frac{PRT}{100} \\ I=\frac{17,500\times4\times4}{100} \\ I=2,800\text{ dollars } \end{gathered}

(a) What will your monthly payment be? $

We will add this interest to the $17,500 and divide by 48 months to get the monthly payment. This becomes

\begin{gathered} 17,500+2,800=20,300 \\ \frac{20,300}{48}=422.91666 \\ =422.92 \end{gathered}

Hence, the answer is $422.92

(b) How much will you pay in total for the car? $

To get this, we add the $20,300 (that we divided by 48 months), to the initial down payment made. This becomes

\begin{gathered} 20,300+2500 \\ =22,800 \end{gathered}

Hence, the answer is $22,800

(c) How much will you pay in interest over the life of the loan? $

We have initially found the interest as 2,800 dollars.

Hence the answer is $2,800

4 0
1 year ago
If c(x)=4x-2 and d(x)=x^2+5 , what is (c o d) (x)
Nookie1986 [14]

Answer:

4x² + 18

Step-by-step explanation:

note that (c ○ d )(x) = c(d(x))

To evaluate substitute x = d(x) into c(x), that is

c(d(x))

= c(x² + 5)

= 4(x² + 5) - 2

= 4x² + 20 - 2

= 4x² + 18

3 0
2 years ago
Find the volume of the sphere. <br> Either enter an exact answer in terms π or use 3.14 for π
Lunna [17]

The equation for volume of a sphere is (4/3)(pi)(r)^3. So you would plug in he radius 9 into the equation. It would simplify to equal (4/3)(pi)(729). It simplifies further to equal (972)(pi)

6 0
3 years ago
Evaluate the expression 1/2x - 2/3y when x = 4 and y = -3
ollegr [7]

Answer:

-1

Step-by-step explanation:

Equation: 1/2x-2/3y

Swap out the x and y with the numbers.

1/2 x 4/1 -2/3 x -3

Solve.

2-3

-1

3 0
3 years ago
Read 2 more answers
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