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Mnenie [13.5K]
3 years ago
9

Evaluate the definite integral

Mathematics
1 answer:
Georgia [21]3 years ago
7 0
\displaystyle\int_{x=9}^{x=10}x\sqrt{x-9}\,\mathrm dx

Let y=x-9, so that x=y+9 and \mathrm dx=\mathrm dy. The integral is then equivalent to

\displaystyle\int_{y=0}^{y=1}(y+9)\sqrt y\,\mathrm dy=\int_0^1(y^{3/2}+9y^{1/2})\,\mathrm dy=\dfrac{32}5
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Elle is buying new flooring for her kitchen
const2013 [10]

Answer:

The total area of the two rooms is 188.25 square feet

Step-by-step explanation:

Given:

Area of the kitchen = 132 square feet.

Dimension of the Laundry room =  8 1/3 feet by 6 3/4 feet.

To Find:

The total area of the two rooms = ?

Solution:

Area of the two rooms   =  Area of the kitchen + Area of the laundry room

Area of the two rooms   =    132 +  Area of the laundry room

Area of the laundry room  =(8 \frac{1}{3}) \times (6 \frac{3}{4})

Area of the laundry room  =\frac{25}{3} \times \frac{27}{4}

Area of the laundry = \frac{675}{12}

Area of the two rooms   =    132 +  \frac{675}{12}

Area of the two rooms   = 132 + 56.25

Area of the two rooms   = 188.25 square feet

3 0
3 years ago
SOLVE FOR X<br><br> -5x + 9 = 24
boyakko [2]

Answer:

<u>x = -3</u>

Step-by-step explanation:

-5x + 9 = 24

move the nine to the other side

-5x = 15

divide

x = -3

7 0
3 years ago
Six year old students at an elementary school we’re giving a 20 yard Headstart in a race the graph shows how far the average stu
Alexxx [7]
The answer is going to be (D)
3 0
3 years ago
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A teachers desk is 5.5 meters long a students desk is 220 centimeters long what is the difference in the length in centimeters b
Mama L [17]

so if 5.5 is in meter let change it to cm because the question want us to give the answer in cm.

1cm = 0.01meter

to \: turn \: meters \: into \: \\  cm \: we \: have \: to \: multiply \:  by \: 100

now we multiply 5.5 times 100 which is equal to 550.

next we subtract 550 - 220= 330.

finally, the difference between a teacher and student is 330cm .meaning the teacher's desk is 330 cm longer or taller than the student.

7 0
3 years ago
How to divide 9 by 3960.0
aleksandr82 [10.1K]
3936/9=440 if that is what you meant
5 0
3 years ago
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