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givi [52]
3 years ago
11

Help with my homework Evaluate the exponent expression for a = 1 and b = –2.

Mathematics
1 answer:
Snowcat [4.5K]3 years ago
7 0

Answer:

  -1/16

Step-by-step explanation:

Put the values where the variables are and do the arithmetic.

1 to any power is 1, so you can ignore all of the 'a' factors. That leaves ...

  1/(2b^3) = 1/(2(-2)^3) = 1/(2(-8)) = -1/16

___

A calculator can help you figure this out.

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2 points
natima [27]

Answer:

4.9 feet

Step-by-step explanation:

First, we need to determine the height of the building using the following:

L^2 = H^2 + B^2

Where

H = Height of the building

L = Length of the first ladder = 20ft

B = Distance from the base of the building = 10ft

So, we have:

20^2 = H^2 + 10^2

400 = H^2 + 100

H^2 = 400 - 100

H^2 = 300

H = \sqrt{300

Next, is to determine the distance of the new ladder from the base of the building (B) using Pythagoras theorem using:

L_2^2 = H^2 + B_2^2

Where

L_2 = 18 --- Length of the second ladder

H = \sqrt{300 ----- Height of the building

So, we have:

18^2 = \sqrt{300}^2 + B_2^2

324 = 300 + B_2^2

B^2_2 = 324 - 300

B^2_2 = 24

Solving for B2, we have:

B_2 = \sqrt{24

B_2 = 4.9

8 0
3 years ago
Jose scored 562 points on his first math test so far this semester he must score at least 650 points how would an inequality to
Ira Lisetskai [31]
650-562=88
ANS= Jose need to score 88 points to get an A
6 0
3 years ago
What is the percent of the number 2 in the number 625
Tpy6a [65]
Write 2/625 and then multiply the result by 100%:  200%/625 can be re-written as  8% / 25 by dividing both 200 and 625 by 25.

8% / 25 can be thought of as "eight twenty-fifths of 1 percent.  (ANSWER)

Using my calculator, I found that 2/625 is 0.0032.  Mult. that by 100% results in 0.32.  Note that 8/25 = 0.32.
5 0
3 years ago
Which expression is equivalent to 1/8x- 1/2?
pychu [463]
This is done by factoring.  1/8 is smaller than 1/2, so we can factor a 1/8 out of 1/2.  This is what that looks like: \frac{ \frac{1}{2} }{ \frac{1}{8} }, because factoring after all is a form of division.  When we divide a fraction by a fraction, we bring the lower fraction up and flip it to multiply, giving us this: \frac{1}{2} * \frac{8}{1}.  This of course reduces to 4.  So when we factor out 1/8, what we will have then is \frac{1}{8} (x-4), choice D from above.
6 0
3 years ago
Which of the following lines are parallel to 2Y - 3X = 4?
dimulka [17.4K]

Answer:

B. Y = 6/4 X

Step-by-step explanation:

Well to find its parallel line we need to put,

2y - 3x = 4 into slope-intercept.

+3x to both sides

2y = 3x + 4

Now we divide everything by 2,

y = 3/2x + 2

So a line that is parallel to the given line will have the same slope but different y intercept, meaning we can cross out choices A and C.

To check look at the image below ↓

<em>Thus,</em>

<em>answer choice B. Y = 6/4 X is correct.</em>

<em />

<em>Hope this helps :)</em>

4 0
3 years ago
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