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2 years ago

What is the slope of y=0.75x+1 in fraction form Will give brainliest

Mathematics

1 answer:

djyliett [7]2 years ago

8 0

Answer:

Slope = 0.75

Step-by-step explanation:

Slope is coefficient of x

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If a fire is burning a building and it takes 2 hours to put it out using 2000 gal./min., what minimum diameter cylindrical tank

strojnjashka [21]

Answer:

The minimum diameter of the cylindrical tank needed to store the quantity needed to put out the fire is approximately 58.415 feet.

Step-by-step explanation:

A gallon equals 0.134 cubic feet. First, we determine the amount of water ( $Q$ ), measured in cubic feet, needed to put out the fire under the assumption that water is consumed at constant rate:

$Q = \dot Q \cdot \Delta t$ (1)

Where:

$\dot Q$ - Volume rate, measured in feet per minute.

$\Delta t$ - Time, measured in minutes.

If we know that $\dot Q = 2000\,\frac{gal}{min}$ and $\Delta t = 120\,min$ , then the amount of water is:

$Q = \left(2000\,\frac{gal}{min} \right)\cdot (120\,min) \cdot \left(0.134\,\frac{ft^{3}}{gal} \right)$

$Q = 32160\,ft^{3}$

And the diameter of the cylindrical tank based on the capacity found above is determined by volume formula for a cylinder:

$Q = \frac{\pi}{4}\cdot D^{2}\cdot h$ (2)

Where:

$D$ - Diameter, measured in feet.

$h$ - Height, measured in feet.

If we know that $Q = 32160\,ft^{3}$ and $h = 12\,ft$ , then the minimum diameter is:

$D^{2} = \frac{4\cdot Q}{\pi\cdot h}$

$D = 2\cdot \sqrt{\frac{Q}{\pi\cdot h} }$

$D = 2\cdot \sqrt{\frac{32160\,ft^{3}}{\pi\cdot (12\,ft)} }$

$D \approx 58.415\,ft$

The minimum diameter of the cylindrical tank needed to store the quantity needed to put out the fire is approximately 58.415 feet.

8 0

2 years ago

3 6/12 + 3 9/12. ..

Ludmilka [50]

Answer:

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Describe two methods for converting a mixed number to a decimal

uysha [10]

R example: 6 1/2 = 13/2 = 6.5

For the first example, six and a half is equal to thirteen halves, which is then equal to six point five. To do this, the rule to turn a mix number into a fraction is by multiplying the 2 with the 6 and then add the answer to 1, which gives 13/2 (Remember to always give the same denominator). Finally, thirteenth halves is equal to six point five (because when you divide 13 by 2, you get 6 and one left over. To continue dividing, add a 0 , and so 10 goes into 2 is five. so the decimal is 6.5

4 0

3 years ago

The difference between 22 and x

lukranit [14]

Answer:

22-x

Step-by-step explanation:

you dont know what x is, so you would just do 22-x

3 0

3 years ago

What is the equation of this line in slope-intercept form?<br> (-1,5) (1,-1)

enot [183]

Answer:

y=-3x+2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-1-5)/(1-(-1))

m=-6/(1+1)

m=-6/2

m=-3

y-y1=m(x-x1)

y-5=-3(x-(-1))

y-5=-3(x+1)

y=-3(x+1)+5

y=-3x-3+5

y=-3x+2

4 0

2 years ago