Answer:
The artist used 8.6 inches more of silver wire
Step-by-step explanation:
Perimeter of the square
P = 4*a
P = 4*a = 40 in
a = 10 in
Each side of the square has a length of 10 in
The diameter of the circle is equal to the length of the side of the square
Diameter = 10 in
Perimeter of the circle
P_c = 2*π*radius = π*diameter
P_c = (3.14)*10 in = 31.4 in
Inches of silver wire (square) = 40 in
Inches of copper wire (circle) = 31.4 in
40- 31.4 in = 8.6 in
Answer:
We conclude that:
h(f(-1)) = -2
∴ option D i.e. -2 is correct.
Step-by-step explanation:
Given
f(x) = 4x² - 1
g(x) = 1/2x + 5
h(x) = 2(x - 4)³
To determine
h(f(-1)) = ?
In order to determine h(f(-1)) first we need to determine f(-1).
substitute x = -1 in the function f(x) = 4x² - 1
f(-1) = 4(-1)² - 1
f(-1) = 4(1) - 1
f(-1) = 4-1
f(-1) = 3
so
h(f(-1)) = h(3)
now substitute h = 3 in the function h(x) = 2(x - 4)³
h(x) = 2(x - 4)³
h(3) = 2(3 - 4)³
h(3) = 2(-1)³
h(3) = 2(-1)
h(3) = -2
Thus,
h(f(-1)) = h(3) = -2
Hence, we conclude that:
h(f(-1)) = -2
∴ option D i.e. -2 is correct.
it cannot be simplified, only rounded. THis rounded as a fraction is "7 7/10"
Answer:
y=640-3x
Step-by-step explanation:
The total amount of ounces in the bucket is 640, and it decreases by 3 each minute. For example, if you plug in 3 for x into that equation (which would represent 3 minutes), you would lose 9 ounces of water, which makes sense in the terms of the equation.
