1.
a. 12d² -6d
b. 6c^5 + 8c^4 -10c³
c. correct
2.
a. correct
b. correct
c. 12r^8-6r^4 + 9r^2, then multiply the rest by -1
3. correct
4. x² + 10
5. d=4, -1/3

It is prime because it has no common factors in 5a^2 and b.
The answer is
A<span>
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Answer:
first equation : 3y + 6×=12
second equation : 4y + 8x = 16
Step-by-step explanation:
first equation
3y + 6× = 12
now take the common ,
3( y + 2x ) = 12
so, y + 2x = 4
second equation
4y + 8x = 16
4 ( y + 2x ) = 16
so, y + 2x = 4
two lines with same equation have infinitely many solution . these two equations are the same so there are infinitely many solution .
<h2>
Answer with explanation:</h2>
Let
be the population mean lifetime of circulated $1 bills.
By considering the given information , we have :-

Since the alternative hypotheses is two tailed so the test is a two tailed test.
We assume that the lifetime of circulated $1 bills is normally distributed.
Given : Sample size : n=50 , which is greater than 30 .
It means the sample is large so we use z-test.
Sample mean : 
Standard deviation : 
Test statistic for population mean :-


The p-value= 
Since the p-value (0.0433834) is greater than the significance level (0.02) , so we do not reject the null hypothesis.
Hence, we conclude that we do not have enough evidence to support the alternative hypothesis that the average lifetime of a circulated $1 bill differs from 18 months.
Hello!
The volume of a cylinder is found by using the formula: V = πr²h.
The problem has given us the height of the cylinder, which is 14.7 centimeters, and the diameter which is 10.5 centimeters. The volume of a cylinder requires the radius, so therefore, to find the radius, divide the diameter by half, and that will give the radius.
R = 10.5 / 2
R = 5.25 centimeters
With that radius and the height, we can find the volume of the cylinder.
V = π(5.25)²(14.7)
V = 27.5625(14.7)π
V = 405.17π, 1272.23 (multiplied by 3.14), 1272.88 (multiplied by π)
Therefore, the volume of this cylinder is 1272.88 centimeters³.