Answer:
Check Explanation
Step-by-step explanation:
a) S = 2ᵗ
For the first 9 months, we just put t = 0,1,2,3,4,5,6,7,8,9
t = 0
S = 2⁰ = 1 mm³
t = 1 month
S = 2¹ = 2 mm³
t = 2 months
S = 2² = 4 mm³
t = 3 months
S = 2³ = 8 mm³
t = 4 months
S = 2⁴ = 16 mm³
t = 5 months
S = 2⁵ = 32 mm³
t = 6 months
S = 2⁶ = 64 mm³
t = 7 months
S = 2⁷ = 128 mm³
t = 8 months
S = 2⁸ = 256 mm³
t = 9 months
S = 2⁹ = 512 mm³
Right after 9 months, the size of the tumour = 512 mm³
b) Average rate of change in size of the tumor during the first 9 months = [f(b) - f(a)]/(b - a) = (512 - 1)/(9-0) = 56.78 mm³
Answer:
Step-by-step explanation:
Two angles are alternate if they lie on the opposite sides of a transversal. The transversal is a line that cuts through two parallel horizontal lines. If the alternate angles are inside the two parallel lines, they are alternate interior angles. If the alternate angles are outside the two parallel lines, they are alternate exterior angles.
From the information given, angles 4 and 6 are called alternate interior angles. Therefore, the options that apply are:
1) They're on opposite sides of the transversal.
2) They're inside the two lines crossed by the transversal.
Interior
Answer:
Step-by-step explanation:
The formula for the volume of a cylinder is
V = πr²h
Data:
V = 20 000 gal
h = 34.5 ft
Calculations:
I assume the gasoline tank is lying on its side, so we are asked to find the diameter of the tank.
(a) Convert the volume to cubic feet
V= 20 000 gal × (1 ft³/7.48 gal) = 2674 ft³
(b) Calculate the radius of the tank
V = πr²h
r² = V/(πh) = 2674/(π × 34.5) = 24.67 ft²
r = √24.67 = 4.967 ft
(c) Calculate the diameter of the tank
d = 2r = 9.934 ft
(d) Calculate the length of the measuring pole
l = d + 1 = 9.934 + 1 = 
Answer:
$38.50 per hour
Step-by-step explanation:
10% = 0.1
0.1 × 35.00 = 3.50
35.00 + 3.50 = 38.50
Hello : let A(6,-1) B(-3,-1)<span>
the slope is : (YB - YA)/(XB -XA)
(-1+1)/(-3+6) = 0
the slope is : 0 ...(answer : </span>B.) 0 )
