Answer:
The answer is
<h2>

</h2>
Step-by-step explanation:
<h3>

</h3>
First of all add 4 to both sides of the inequality to make 2x stand alone
That's
<h3>

</h3>
Divide both sides of the inequality by 2 inorder to find x
That's
<h3>

</h3>
We have the final answer as
<h3>

</h3>
Hope this helps you
To answer this item, note that what needs to be done is to substitute -4 to all x's in the equation. That is,
F(x) = 2^x
will become,
F(-4) = 2^(-4) = 1/16 or 0.0625
1st problem:
Use the Pythagorean theorem:
a^2+b^2=c^2
49+361=c^2
c^2=410
c=20.24
The answer is 20m
2nd problem:
First calculate the height using the Pythagorean theorem:
a^2+b^2=c^2
20^2+b^2=625 (i got 20 {radius} by half-ing the base edge length)
400+b^2=625
b^2=225
b=15
Next, solve for the volume:
V=a^2*h/3
V=40^2*15/3
V=1600*5
V=8000
The answer is the second choice or B.
Two pair of numbers are said to be relatively prime if there is no integer greater than 1, that divides them both.
Consider the given pair of the numbers to identify which pair is relatively prime.
1. Consider 42 and 77
7 is the number which divides 42 and 77 both. Therefore, they are not relatively prime.
2. Consider 34 and 55
Since, there is no number greater than 1, which divides both the numbers. So, they are relatively prime numbers.
3. Consider 45 and 102
3 is the number divides 45 and 102 both. Therefore, they are not relatively prime.
4. Consider 99 and 123
3 is the number divides 99 and 123 both. Therefore, they are not relatively prime.
Therefore, Option B is the correct answer.
Answer:
Kevin
Step-by-step explanation: