Step-by-step explanation:
e^(x+h) is always larger than e^x.
so the minimum function value in that interval is e⁴.
and the maximum function value in that interval is e⁶.
e⁴ = 54.59815003... ≈ 54.60
e⁶ = 403.4287935... ≈ 403.43
Assuming that both triangles are an exact copy of one another, it is safe to assume that 3y-7 is equal to 41. Set up an equation
3y-7=41
Add 7 to both sides
3y=48
Divide both sides by 3
y=16
Now to find PN.
Based on what we know, we can assume that MP = PN. Let's make some equations!
MP = 17x-8 PN = 11x+4
17x-8 = 11x+4
Subtract 11x from both sides
6x-8 = 4
Add 8 to both sides
6x = 12
Divide by 2
x=2
Substitute 2 in for x in the equation for PN
11(2)+4
Multiply 11 by 2
22+4 = 26
PN = 26
Answer:
3520.176 feet per minute
Step-by-step explanation:
First, we must convert 40 miles per hour (mph) to miles per minute (mpm):
40 mph = 40 miles/hour / 60 minutes/hour = 0.6667 miles per minute
Next, we convert miles per minute to feet per minute by multiplying 5280 ft per mile:
0.6667 mpm = 0.6667 miles/minute * 5280 ft/mile = 3520.176 feet per minute
All the sides of a cube are always the same.
Area = 12 in x 12 in = 144 in^2
Volume = 12 in x 12 in x 12 in = 1728 in^3
Hence, you can confirm all the side of this cube is 12 in.
