Answer: 31 is a prime number because only 1 times itself equals 31. no other two factors equal 31 as a product.
Step-by-step explanation:
Answer:
I agree with both of them because they are both correct
Step-by-step explanation:
See attachment for complete question;
Slope (m) is calculated using the following formula:

Where


From the attachment, we have the following:
Triangle A


So:


<em>In this case, Mai is correct:</em>
Triangle B


So:



<em>In this case, Elena is also correct:</em>
Well one similarity is that since you have to multiply, integer rules still apply and that you can also multiply variables. A difference is that with fractions, you have to make a number into an improper fraction rather than just the regular way which would most likely be the whole number with a decimal.
Answer:
volume of cone = 1/3 volume of cylinder
according to the question, volume of cylinder =
V =

diameter = 3 inches
radius = 3/2 inches
height = 8 inches
V = 22.7 * (3/2)²* 8
V = 22.7 * 9/4 * 8
V = 22.7 * 18
maximum volume a cone can have = 1/3 of cylinder
Volume of cone = 1/3 * 22.7 * 18
= 22.7 * 6
= 132.6
Answer:
f(g(7)) = 22
Step-by-step explanation:
First find the general form of the new equation, f(g(x)):
f(x)=3x + 2
g(x)=x - 1/3
f(g(x)) = 3(x - 1/3) + 2
You can simplify that, or alternatively just plug in 7 now and solve:
f(g(7)) = 3(7 - 1/3) + 2
f(g(7)) = 3(20/3) + 2
f(g(7)) = 20 + 2
f(g(7)) = 22