Answer:
Bob's typing speed is 39 words per minute.
Bill's typing speed is 58 words per minute.
Step-by-step explanation:
<u>Given : </u>
Bill can type 19 words per minute faster than bob. their combined typing speed is 97 words per minute.
<u>To Find : </u>
Bobs typing speed
<u>Solution : </u>
Let the bobs typing speed is x
According to the given question :
Bobs typing speed is x
Bill's typing speed is 19+x
Their combined speed is 97 words per minute.
<u>Solving value x : </u>
x + 19+x = 97
2x + 19 = 97
2x = 97 - 19
2x = 78
x = 78/2
x = 39
Bobs typing speed = 39
Bill's typing speed 39 + 19 = 58
Hence, Bobs speed is 39 words per minute.
Answer:
x=27
Step-by-step explanation:
The sum of the angles of a triangle is 180 degrees
90 + x+23 + x+13 = 180
Combine like terms
126 +2x = 180
Subtract 126 from each side
126-126 +2x=180-126
2x =54
Divide by 2
2x/2 = 54/2
x = 27
Y= x/8 rate is 1 to 1/8
hope it helps!!
Answer:
Step-by-step explanation:
Given the definite integral 
, we to evaluate it. Using integration by substitution method.
Let u = 1-2x⁵ ...1
du/dx = -10x⁴
dx = du/-10x⁴.... 2
Substitute equation 1 and 2 into the integral function and evaluate the resulting integral as shown;
![= \dfrac{-1}{10} \int\limits {\dfrac{du}{u^5} } \\\\= \dfrac{-1}{10} \int\limits {{u^{-5}du } \\= \dfrac{-1}{10} [{\frac{u^{-5+1}}{-5+1}] \\\\= \dfrac{-1}{10} ({\frac{u^{-4}}{-4})\\\\](https://tex.z-dn.net/?f=%3D%20%5Cdfrac%7B-1%7D%7B10%7D%20%5Cint%5Climits%20%7B%5Cdfrac%7Bdu%7D%7Bu%5E5%7D%20%7D%20%20%5C%5C%5C%5C%3D%20%5Cdfrac%7B-1%7D%7B10%7D%20%5Cint%5Climits%20%7B%7Bu%5E%7B-5%7Ddu%20%7D%20%20%5C%5C%3D%20%5Cdfrac%7B-1%7D%7B10%7D%20%5B%7B%5Cfrac%7Bu%5E%7B-5%2B1%7D%7D%7B-5%2B1%7D%5D%20%20%5C%5C%5C%5C%3D%20%5Cdfrac%7B-1%7D%7B10%7D%20%28%7B%5Cfrac%7Bu%5E%7B-4%7D%7D%7B-4%7D%29%5C%5C%5C%5C)
substitute u = 1-2x⁵ into the result
Hence
