Find how fast it travels in one hour:
460 miles / 2 hours = 230 miles per hour.
A) Multiply the speed per hour by the number of hours:
230 x 8 = 1840 miles in 8 hours.
B) 230 x 20 = 4,600 miles in 20 hours.
C) 460 miles / 2 hours = 230 miles per hour.
Answer:
5 cups
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Answer:
![\lim_{x \to 0} \frac{12xe^x-12x}{cos(5x)-1}=-\frac{24}{25}](https://tex.z-dn.net/?f=%5Clim_%7Bx%20%5Cto%200%7D%20%5Cfrac%7B12xe%5Ex-12x%7D%7Bcos%285x%29-1%7D%3D-%5Cfrac%7B24%7D%7B25%7D)
Step-by-step explanation:
Notice that
, which is in indeterminate form, so we must use L'Hôpital's rule which states that
. Basically, we keep differentiating the numerator and denominator until we can plug the limit in without having any discontinuities:
![\frac{12xe^x-12x}{cos(5x)-1}\\\\\frac{12xe^x+12e^x-12}{-5sin(5x)}\\ \\\frac{12xe^x+12e^x+12e^x}{-25cos(5x)}](https://tex.z-dn.net/?f=%5Cfrac%7B12xe%5Ex-12x%7D%7Bcos%285x%29-1%7D%5C%5C%5C%5C%5Cfrac%7B12xe%5Ex%2B12e%5Ex-12%7D%7B-5sin%285x%29%7D%5C%5C%20%5C%5C%5Cfrac%7B12xe%5Ex%2B12e%5Ex%2B12e%5Ex%7D%7B-25cos%285x%29%7D)
Now, plug in the limit and evaluate:
![\frac{12(0)e^{0}+12e^{0}+12e^{0}}{-25cos(5(0))}\\ \\\frac{12+12}{-25cos(0)}\\ \\\frac{24}{-25}\\ \\-\frac{24}{25}](https://tex.z-dn.net/?f=%5Cfrac%7B12%280%29e%5E%7B0%7D%2B12e%5E%7B0%7D%2B12e%5E%7B0%7D%7D%7B-25cos%285%280%29%29%7D%5C%5C%20%5C%5C%5Cfrac%7B12%2B12%7D%7B-25cos%280%29%7D%5C%5C%20%5C%5C%5Cfrac%7B24%7D%7B-25%7D%5C%5C%20%5C%5C-%5Cfrac%7B24%7D%7B25%7D)
Thus, ![\lim_{x \to 0} \frac{12xe^x-12x}{cos(5x)-1}=-\frac{24}{25}](https://tex.z-dn.net/?f=%5Clim_%7Bx%20%5Cto%200%7D%20%5Cfrac%7B12xe%5Ex-12x%7D%7Bcos%285x%29-1%7D%3D-%5Cfrac%7B24%7D%7B25%7D)
Answer:
The correct option is B.
Step-by-step explanation:
In a program the variables are defined as
int a, b =2;
float c = 4.2;
The given statement is
a = b * c
a = 2 * 4.2
a = 8.4
It is given that variable a is an integer. So, only integer value can be stored in a.
a ≈ 8
It means 8 will be stored in a. Therefore the correct option is B.
I’ll give you the awnser from them all, but the show your work from just one. Hopefully you can figure it out. If not, reply with specific things you don’t understand and Ill try to talk it out with you. I struggled alot with this stuff when I was in your age too.
5) The answer is x = 3/4 or x= 0.75
12) x = 4
15) x = 2
Reasoning:
All m