For this case we have the following expression:
The first thing you should know for this case, is that by power properties we have:
Every number raised to zero is equal to unity.
We then have to rewrite the expression:
Answer:
The given expression is equal to:
option 4.
4n² - 15n + 14<span> is always the product of two numbers, for it to be prime number, one of these factors must be either 1 or -1.
Case n - 2 = 1
That would be n = 3
Then </span>4n² - 15n + 14<span> = 5 , which is prime.
Case n - 2 = -1
That would be n = 1
Then </span>4n<span>² - 15n + 14 = 3, which is also prime.
Case 4n - 7 = 1
That would be n = 2 and that makes other factor (n-2) zero so it's not prime
Case 4n-7 = -1
That would be n = 3/2 which is not integer, so </span>4n<span>² - 15n + 14 will not be interger.
For any other n values, </span>4n<span>² - 15n + 14 will be composite number since it is product of two factors.
Therefore we are left with n = 1 and n = 3; only two values of n.</span>
Answer:
<u><em>6 quarts</em></u>
Step-by-step explanation:
60% 3 gallons = 1.8 gallons of broth
water = 0% broth
1.8=1.2+0.4x
0.6=0.4x
x=1.5
1.5 gallons = 6 quarts
Answer:
32centimeters
Step-by-step explanation:
4 sides are in a sqaure and all of them are equal so
8 times 4 is 32
Answer:
Both will be at the same page after 6.5 days and the page number will be 180.
Step-by-step explanation:
Let after x days Nora and Lila will be at the same page.
Nora is on page 128 and plans to read 8 pages per day until the next club meeting.
After x days Nora will be at the page number = 128 + 8x
Similarly, Lila is on page 102 and she reads 12 pages per day.
After x days Lila will be on page number = 102 + 12x
Since after x days they will be at the same page
Therefore, 128 + 8x = 102 + 12x
12x - 8x = 128 - 102
4x = 26
x = 
x = 6.5 days
Page number they will be on = 128 + 8(6.5)
= 128 + 52
= 180
Both will be at the same page after 6.5 days and the page number will be 180.
