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LuckyWell [14K]
3 years ago
10

Bye how much more coffe is in the dads mug

Mathematics
1 answer:
Wewaii [24]3 years ago
8 0
152. (How i got it) 6x6x6=216. 4x4x4= 64. 216-64= 152
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Need some help with indefinite integrals pleasee
goldenfox [79]
Observe that (x^2+2x+2)'=2x+2.

You have that \int \frac{2x}{x^2+2x+2}\; dx=\int \frac{2x+2-2}{x^2+2x+2}\; dx=\int \frac{2x+2}{x^2+2x+2}\; dx+\int \frac{1}{x^2+2x+2}\; dx=I_1+2I_2.

To compute I_1 you set y=x^2+2x+2, so dy=2x+2\; dx. Therefore, I_1=\int \frac{1}{y}\; dy=\ln |y|=\ln |x^2+2x+2|=\ln (x^2+2x+2).

For I_2 observe that x^2+2x+2=(x+1)^2+1. Let y=x+1. Then dy=dx and I_2=\int \frac{1}{y^2+1}=\arctan y=\arctan (x+1).

So, \int \frac{2x}{x^2+2x+2}=\ln (x^2+2x+2)+2\arctan (x+1)+c.
8 0
4 years ago
Plot A shows the number of hours ten girls watched television over a one-week period. Plot B shows the number of hours ten boys
ziro4ka [17]

The true statement is both the mean and median are greater for Plot A than for Plot B..

<h3>What is the true statement?</h3>

Mean is the average of a data set. Median is the number at the center of a dataset arranged in either ascending or descending order.

Mean for plot A = (3 + 4 + 4 + 5 + 5 + 6 + 6 + 7 + 7 + 10) / 10 = 5.7

Median for plot A = (5 + 6) / 2 = 5.5

Mean for plot B = (3 + 4 + 4 + 5 + 5 + 5 + 6 + 6 + 6 + 7) / 10 = 5.1

Median for plot B =  5

To learn more about mean, please check: brainly.com/question/25842202

#SPJ1

3 0
2 years ago
If n + 2, 5, and 9 represent the lengths of the sides of a triangle then &lt; n
sattari [20]

Answer:

n>2      (see below)

Step-by-step explanation:

Triangle side rule says    n+2   + 5   must be greater than 9

    n+2   +5  > 9

    n > 2      

      (but it must be less than 12   o/w   5 + 9 will not be greater than n+2)  

   

6 0
2 years ago
Plzzzz helppppppppppppppp
GarryVolchara [31]

Answer:

ok

Step-by-step explanation:

5 0
3 years ago
The length of the Kentucky Derby horse race is 10 furlongs. How long is the race in miles?
Marta_Voda [28]

Answer:

2.5 miles

Step-by-step explanation:


7 0
3 years ago
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