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Monica [59]
3 years ago
6

Find the value of x and the value of y for which (x,23) and (18,y) ate the points on the graph y=0.5x+15

Mathematics
1 answer:
shutvik [7]3 years ago
8 0

Answer:

x=16; y=24

Step-by-step explanation:

for (x,23), 23=0.5x+15

x=16

for (18xy), y=0.5*18+15=24

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A vertical right circular cylindrical tank has height h=8 feet high and diameter d=6 feet. It is full of kerosene weighing 50 po
Mariana [72]

Answer:

The work done to  pump all of the kerosene from the tank to an outlet is W=45238.9\: J  

Step-by-step explanation:

The work is defined by:

W=\int dFdx (1)    

The force here will be the product between the volume and the kerosene weighing, so we have :

dF=\pi R^{2}dy*50

This force will be in-lbs.

Where R is the radius (3 feet)                    

Then using (1), we have:

W=\int \pi R^{2}dy*50(8-y)  

Here 8-y is a distance at some point of the tank. Now, to get the work done from the base to the top of the tank we will need to take integral from 0 to 8 feet.

W=\int_{0}^{8} \pi 3^{2}dy*50(8-y)

W=450\pi \int_{0}^{8}dy(8-y)

W=450\pi(\int_{0}^{8} 8dy-\int_{0}^{8} ydy)

W=450\pi(8y|_{0}^{8} -\frac{y^{2}}{2}|_{0}^{8})  

W=450\pi(8*8 -\frac{8^{2}}{2})

W=450\pi(64 -\frac{64}{2})

Therefore, the work done to  pump all of the kerosene from the tank to an outlet is W=45238.9\: J  

I hope it helps you!  

6 0
2 years ago
A triangle has 2 sides measuring 12cm and 4cm. What could be the possible lengths of the 3rd side. (Please explain in steps)​
katen-ka-za [31]

Answer:

Step-by-step explanation:

You have to use the triangle inequality theorem:

12cm, 4cm, xcm

x > 4cm - 12cm

x > -8cm

x < 12cm - 4cm

x < 8cm

-8cm < x < 8cm

5 0
3 years ago
Please answer this question!!
Aloiza [94]
To find the surface area of the rectangular prism you do.

2(lw + lh + wh).

2((26*18) + (26*8) + (18*8))

2(468 + 208 + 144)

2* 820

the answer is 1640cm^2

8 0
3 years ago
Solve using the quadratic formula<br><br> x² - 12x + 36=0
motikmotik

Answer:

6

Step-by-step explanation:

(-12)^2-4*1*36=0

144-144=0

x= -(-12)/2*1=

12/2=

6

x=6

4 0
3 years ago
Can a linear function be continuous but not have a domain and range of all real numbers
vovangra [49]
Yes. As long as it is linear, it will be continuous no matter the numbers. Now, I have no idea what a "real" number is, but I hope this helped. 
5 0
3 years ago
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