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Aleksandr [31]
2 years ago
8

Simplify (5n^4)^−3. Assume n ≠ 0.

Mathematics
1 answer:
tekilochka [14]2 years ago
6 0
Since the exponent (-3) is negative, flip the expression to: 1/(5n^4)^3.

Notice how the negative exponent becomes positive as you flip it.

Now evaluate the powers in the denominator: 1/((5^3)(n^4)^3

I separated the constant (5) from the variable (n) to show you how the powers are evaluated.

1/(5x5x5)(nxnxnxn)(nxnxnxn)(nxnxnxn)
—-> the power four means that there are 4 multiples of n in the parentheses. The power 3 corresponds to how many groups.

1/(125)(n^12)

= 1/125n^12
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You are hiking and trying to determine how far away the nearest cabin is, which happens to be due north from your current positi
Damm [24]

Answer:

Cabin is 567 yards away...

Step-by-step explanation:

The angle  21.2° is also the angle of the upper interior angle of the triangle (near the cabin)

Use the tan function:

opposite = 220 yards

adjacent = x

tan(21.2°) = (opposite / adjacent)

tan(21.2°) = 220 yards/x

x * tan(21.2°) = 220 yards

x = 220 yards/ tan(21.2°)

x= 220/ 0.388

x =  567 yards.

Cabin is 567 yards away...

6 0
2 years ago
Archie can walk 1 mile in 1/3 hour. How far can walk in 3 hours explain how you found the answer​
egoroff_w [7]

Answer: 9

Step-by-step explanation:

We know that he can walk one mile in 1/3 of an hour. We can divide 3 by 1/3.

3/(1/3) When dividing by a fraction, we multiply its reciprocal instead.

3*3=9. This means that he can walk 9 miles in 3 hours.

7 0
2 years ago
You just found a positive trend line showing a strong relationship between homework scores and test scores for five students. Ex
Scrat [10]

The positive trend among the homework scores and the test scores would reveal that if a student does well in homework, he is likely to do well in exams. This can be explained in the sense that the homework will serve as the practice for the student before finally taking the exam.

8 0
2 years ago
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URGENT!! Please help Find the values of y=c(x) 3 square x, for x = 0, 0.008, 0.027, 0.064, 0.125, 0.216, 0.343, 0.512, , 0.729 a
mojhsa [17]

Answer:

We have

$y=c(x)=\sqrt[3]{x} $

\text{for } x = 0, 0.008, 0.027, 0.064, 0.125, 0.216, 0.343, 0.512, 0.729 \text{ and } 1

We have 10 points to find:

\text{Point A}(0, 0)

\text{Point B}(0.008, 0.2)

\text{Point C}(0.027, 0.3)

\text{Point D}(0.064, 0.4)

\text{Point E}(0.125, 0.5)

\text{Point F}(0.216, 0.6)

\text{Point G}(0.343, 0.7)

\text{Point H}(0.512, 0.8)

\text{Point I}(0.729, 0.9)

\text{Point J}(1, 1)

4 0
2 years ago
Find the hcf of 144 and 180. if it is expressed in the form 13m-3, find the value of m​
BaLLatris [955]

Answer:

Step-by-step explanation:

To find the HCF of 144 and 180

By using product of prime method

Firstly express 144 as a product of it prime and express 180 as a product of it prime

140=2×2×2×2×3×3

180=2×2×3×3×5

Common factor =2×2×3×3

36

in term of m

m=36

13m-3

To find m

Substitute for m when m=36

13(36)-3=

465

8 0
2 years ago
Read 2 more answers
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