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kramer
3 years ago
5

Look at the graph shown below:

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
3 0

Answer:

A

Step-by-step explanation:

y=3/4x+4 best represents the line shown below. Because the slope of this graph is 3/4, and the y-intercept is positive 4. Remember that slope=rise/run. You can find the slope very easily by counting, 3 upwards and 4 rightwards.

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A class consists of 17 men and 14 women. An exam is given andstudents are ranked according to their performance. Assume notwo st
notsponge [240]

Answer:

3.18%

Step-by-step explanation:

(14/31) X (13/30)X (12/29) X (11/28) = 0.0318 = 3.18%

5 0
3 years ago
What's the factors for 375,66,33
gizmo_the_mogwai [7]
The factors of

375: 1; 3; 5; 15; 25, 75, 125, 375

66: 1; 2; 3; 6, 11, 22, 33, 66

33: 1, 3, 11, 33
3 0
3 years ago
The terminal velocity of a person falling through air is about 100Km/hr. The acceleration due to gravity is 10ms−2. Use this inf
Aleonysh [2.5K]

The question here is how long does it take for a falling person to reach the 90% of this terminal velocity. The computation is:

The terminal velocity vt fulfills v'=0. Therefore vt=g/c, and so c=g/vt = 10/(100*1000/3600) = 36,000/100,000... /s. Incorporating the differential equation shows that the time needed to reach velocity v is 

t= ln [g / (g-c*v)] / c. 

With v=.9 vt =.9 g/c,

t = ln [10] /c = 6.4 sec.

8 0
3 years ago
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.

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2 years ago
Cho hàm số f(x,y)= x +√(1+x^2+y^2). Tính f'(x,y)=?
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