The numbers to complete the pattern are 125, 216, 343.
The complete pattern is 1, 8, 27, 64, 125, 216, 343.
Hope this helps.
<span> f(x) = x^2 + 4x − 1 and g(x) = 5x − 7
</span>(fg)(x) = (x^2 + 4x − 1)(5x − 7)
(fg)(x) = 5x^3 + 20x^2 - 5x - 7x^2 - 28x + 7
(fg)(x) = 5x^3 + 13x^2 - 33x + 7
answer is C. third choice
(fg)(x) = 5x^3 + 13x^2 - 33x + 7
To find how much she needs of every ingredient, multiply every ingredient by 2/3.
Butter: 2•2/3=4/3=1&1/3 cups
Marshmallows: 24•2/3=16 oz
Cereal: 13•2/3= 26/3=8&2/3 cups
Answer:
48 yd^3.
Step-by-step explanation:
Volume of a pyramid = 1/3 * height * area of the base.
The area of the triangular base = 1/2 * height * base = 1/2*6*8
= 24 yd^2.
So the volume of the figure
= 1/3 * 6 * 24
= 2*24
= 48 yd^3.
Answer:
a) 10 pieces of 2/3 pound can be made.
b) 0.54 pounds of wax is left over.
Step-by-step explanation:
Total amount of clear wax available = 
pounds
So, the maker has in total 4.5 pounds of wax
Now, The weight of each piece = 
pounds
To find the number of pieces that can be made out of 4.5 pounds of wax,
let that number = n
So, 
or, n = 
So, nearly 6 pieces can be made completely out of the clear wax
Left over amount of wax = Total weight - Weights of the pieces made
= 4.5- 6(0.66)
= 0.54 pounds
Hence, 0.54 pounds of wax is left over
