Pretty sure it’s d(all of the above)
Answer:
The average rate of change of f(x) is greater than g(x) on the interval [0,3]
Step-by-step explanation:
:)) Hope it helps!!
Answer:
the larger room needs 132 sq. ft more of carpet
Step-by-step explanation:
14*18 = 252 sq. ft
10*12 = 120 sq. ft
252 - 120 = 132 sq. ft
Answer:
C
Step 4
Step-by-step explanation:
The given steps and justifications are:
Given
Step 2
Distributive property of multiplication over addition
Step 3
Commutative property of multiplication
<em>This justification is not correct. </em>
<em>This justification is not correct. This is rather the inverse property</em>
<em>This justification is not correct. This is rather the inverse propertyTherefore step 3 has an incorrect justification.</em>
Step 4: 11x−40=10x+45
Associative property of addition
Step 5: x−40=45
Subtraction property of equality
Step 6: x=85
Addition property of equality
Remark
The easiest way to do this is to find the radius of both spheres . That gives you the scale factor. The answer to the next two parts might surprise you.
Step one
Find the volume of the small sphere.
V = 4/3 pi r^3
V = 250 yards^3
pi = 3.14
r = ???
Sub and solve
250 = 4/3 pi * r^3 Multiply both sides by 3/4 to get rid of the fraction on the right.
250 * 3/4 = pi * r^3
187.5 = pi r^3 Divide by pi
187.5 / pi = r^3
59.71 = r^3 Take the cube root of both sides.
cube root (59.71) = cube root(r^3)
r = 3.91
Step 2
find the radius of the large sphere.
I'm just going to give you the answer. Follow the above steps to confirm it.
V = 686 cubic yards
pi = 3.14
r = ??
r = cube root (514.5/3.14)
r = 5.472
Step 3
Find the ratio
r_large/r_small = 5.472/3.91 = 1.3995
I'm going to leave the Area calculations to you
The area ratios should come to 1.96 (about)
The volume ratios should come to 1:2.74
