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2 years ago

5

Evaluate the expression for = −3 and = 5. r^{-4} s^2

2 answers:

Zanzabum2 years ago

6 0

If r = -3 and s = 5:
(r^-4)(s^2) = (-3^-4)(5^2) = (1/81)(25) = 25/81

Butoxors [25]2 years ago

5 0

If r = -3 and s = 5:
(r^-4)(s^2) = (-3^-4)(5^2) = (1/81)(25) = 25/81

If r = 5 and s = -3:
(r^-4)(s^2) = (5^-4)(3^2) = (1/625)(9) = 9/625

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How many feet long is the fence ?

grandymaker [24]

Answer:

50 feet long

Step-by-step explanation:

Use the Pythagorean theorem to find the value of the missing side. The pythagoreon theorem only works with right triangles such as this one.

a²+b²=c²

Where a and b are length of legs (sides) of a triangle. And c is the length of the hypotenuse. The hypotenuse is the side across from the right angle.

We know by looking at the image posted in the question, that one leg of the triangle is 14 feet. And another leg is 48 feet. (Length of picnic area) (length of campground)

14²+48²=c²

Simplify

196+2304=2500

Find square root of 2500

√(2500)=50

So 14²+48²=50²

The missing side is 50 feet long. The fence is 50 feet long.

Attached is another example.

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2 years ago

1/4 + 1/3= {Khan Academy btw}

zmey [24]

Answer: $\frac{7}{12}$

Step-by-step explanation:

$\frac{1}{4} +\frac{1}{3}=\frac{(1)(3)+(4)(1)}{(4)(3)} =\frac{3+4}{12} =\frac{7}{12}$

5 0

2 years ago

Find the sum of the following infinite geometric series, if it exists. 2 + 6 + 18 + 54 +… Does not exist 23,567 25,982 29,034

Sladkaya [172]

Option A: The sum for the infinite geometric series does not exist

Explanation:

The given series is $2+6+18+54+.......$

We need to determine the sum for the infinite geometric series.

<u>Common ratio:</u>

The common difference for the given infinite series is given by

$r=\frac{6}{2}=3$

Thus, the common difference is $r=3$

<u>Sum of the infinite series:</u>

The sum of the infinite series can be determined using the formula,

$S_{\infty}=\frac{a}{1-r}$ where $0$

Since, the value of r is 3 and the value of r does not lie in the limit $0$

Hence, the sum for the given infinite geometric series does not exist.

Therefore, Option A is the correct answer.

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3 years ago

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scZoUnD [109]

Answer:

C

Step-by-step explanation:

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2 years ago

Do these measurements create a triangle? true or false?

Alborosie

Answer:

Question 9: False

Question 10: False

Step-by-step explanation:

The third side is always greater than the other two sides.

<u>Question 9</u>

a = 6, b = 6, c = 5

Since the third side is the smallest, it would not create a triangle.

<u>Question 10</u>

a = 7, b = 2, c = 5

Since the third side is the smallest, it would not create a triangle.

4 0

2 years ago

Read 2 more answers