Answer:
2.68 pints
Step-by-step explanation:
The fraction of white paint is 1 -3/5 = 2/5, so the quantity of white paint is ...
(2/5)(6.7 pints) = 2.68 pints
Kimberly used 2.68 pints of white paint.
12:9. 12 red and 9 white to create the shade of pink. I hope this helps:)
Answer:
Vertex: 5/2, -49/4
X intercept: (6,0), (-1,0)
Y intercept: (0.-6)
Step-by-step explanation:
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Question:
What is the following product?
(√14 - √3) (√12 + √7)
Answer:
2√42 + 7√2 - 6 - √21
Step-by-step explanation:
Given.
(√14 - √3) (√12 + √7)
Required
Product
(√14 - √3) (√12 + √7)
We start by opening the brackets
√14(√12 + √7) -√3(√12 + √7)
√(14*12) + √(14*7) - √(3*12) - √(3*7)
Expand individual brackets
√(2*7*2*6) + √(2*7*7) - √(3*3*4) - √(3*7)
= √(2*2*7*6) + √(2*7*7) - √(3*3*4) - √(3*7)
= √(4*42) + √(2*49) - √(9*4) - √(3*7)
Split Roots as follows
= √4 * √42 + √2 * √49 - √9 * √4 - √21
Take square root of perfect squares
= 2 * √42 + √2 * 7 - 3 * 2 - √21
= 2√42 + 7√2 - 6 - √21
Hence, the result of the product (√14 - √3) (√12 + √7) is 2√42 + 7√2 - 6 - √21
We're given an arithmetic sequence 
that starts with 
and a common difference between terms of 
. Recursively, this sequence is given by
We can find an explicit formula for the 
-th term 
:
and so on, with the general pattern of
We're given that the sum of the first 
consecutive terms is
Recall that
So we solve for :
(there are two solutions, but only one is a positive integer)
