Answer:
a) find the value of y when x is equal to 4.
Step-by-step explanation:
The formula for the surface area of a prism is
A = 2 (wh + wl + lh)
where A is the surface area
w is the width
l is the length
h is the height
w = 8 x 2 = 16
l = 6 x 2 = 12
h = 4 x 2 = 8
substitute to the given formula
A = 2 ( (16 x 12) + ( 16 x 8 ) + ( 12 x 8) )
A = 832 sq cm is the surface area of the new rectangular prism
Step-by-step explanation:
Close. You correctly set up the integrals. When integrating e²ˣ:
∫ e²ˣ dx
½ ∫ 2 e²ˣ dx
½ e²ˣ + C
So the coefficient should be ½, not 2.
[eˣ − ½ e²ˣ]₋₁⁰ + [½ e²ˣ − eˣ]₀¹
[(e⁰ − ½ e⁰) − (e⁻¹ − ½ e⁻²)] + [(½ e² − e) − (½ e⁰ − e⁰)]
1 − ½ − e⁻¹ + ½ e⁻² + ½ e² − e − ½ + 1
-e⁻¹ + ½ e⁻² + ½ e² − e + 1
Answer:
a. 18 dollars per hour
b. 16 dollars per hour
Step-by-step explanation:
for a, 18 is the slope of y=18x, meaning spongebob earns 18 dollars per hour
for b, since it seems like squidward earns 32 dollars every 2 hours, it can be guessed that he earns 16 dollars per hour, since 32/2 = 16
