Answer:
Step-by-step explanation:
For this case we need to find the following integral:
And for this case we can use the substitution 
from here we see that 
, and if we solve for x we got 
, so then we can rewrite the integral like this:
And if we distribute the exponents we have this:
Now we can do the integrals one by one:
And reordering the terms we have"
And rewriting in terms of x we got:
And that would be our final answer.
To change a decimal to a fraction you need to first place the decimal over 1. Next, for each number behind the decimal, you will multiply by a multiple of 10. Since there are 2 numbers behind the decimal, it's 100. Therefore,
92.96 x 100 = 9296
1 x 100= 100
Your new fraction is 9296/100. Now we simplify it. I'm going by 2's so it may take a bit.
Simplifying it twice by 2's your answer would be:
2324/25
Answer:
4.5 miles per hour is her rate in miles per hour
Step-by-step explanation:
We want to convert 20 ft per second to miles per hour
If she jogs 20 ft in 3 seconds , then in one second , she will jog 20/3 ft
So convert 20/3 ft/second to miles per hour
Mathematically;
1 mile = 5280 feet
So one feet = 1/5280 mile
1 hour = 3600 seconds
1 second = 1/3600 hour
So, to go from miles/hour to ft/second ; we shall multiply by 1/5280 and divide by 1/3600
Hence; we have;
(20/3 * 1/5280)/1/3600
= 20/3 * 1/5280 * 3600/1
= 4.4545 which is 4.5 miles per hour
Write the equations,
10 c + 5 f = 6900
5c + 3f = 3660
Double,
10c + 6f = 7320
Subtract,
f = 7320 - 6900 = 420
10 c = 6900 - 5f = 6900 - 2100 = 4800
c = 480
Answer: Cheeseburger 480 calories, fries 420 calories
Check:
10 (480) + 5 (420) = 4800 + 2100 = 6900 good
5(480) + 3(420) = 2400 + 1260 = 3660 good
Percent error=|
| times 100
(note the || is absolute value, means that whatever the result is inside, it is made positive)
predicted value=261
actual value=293
subsitute
percent error=|
| times 100
so using pemdas
do parenthasees first
|
|
|-0.12|
absolute value
0.1226
time 100
0.1226 times 100=12.26
answer is 12.26%
answer is B
