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mestny [16]
3 years ago
11

what is the volume, in cubic inches, of a rectangular prism with a height of 5 inches, a width of 15 inches, and a length of 2 i

nches
Mathematics
1 answer:
nlexa [21]3 years ago
5 0

Answer:

150 in^3

Step-by-step explanation:

5 * 15 * 2 = 150

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The speed(S) of a car varies partly directly as its mass(M) and partly directly as the quantity (Q) of fuel in it. When the spee
weeeeeb [17]

Answer:

S varies partly directly as M and Q.

S=C.

S=KMQ+C.

For the first one...

speed=80,m=220,Q=30.

80=K20×30+C.

80=600K+C......(I).equation one.

For the second one....

speed=60,m=300,Q=40.

60=K300×40+C.

60=12000K+C.....(ii). equation two.

Minus eqtn(I) from eqtn(ii).

80=600K+C.

- 60=12000K+C.

K=0.01754~0.018.

Substitute K=0.018 into eqtn(I).

80=600K+C

80=600×0.018+C.

80=10.8+C.

C=80-10.8=69.2.

The relation is S=0.018MQ+69.2

when speed is 100 and mass is 250 find the volume.

100=0.018×250×Q+69.2.

100=4.5Q+69.2.

4.5Q=100-69.2

4.5Q=30.8.

Q=30.8/4.5.

Q=6.8~7litres.

6 0
3 years ago
3. A charity had a stall at a fair selling crafts and cakes to raise money.
AveGali [126]

15% of £70= £10.5

Expenditure =£24+£10.5=£34.5

Net amount raised =gross amount - Expenditure

=£70-£34.5=£35.5

3 0
3 years ago
I got stuck on this question.<br> Use long division to solve
Phantasy [73]

Answer:

  5x² +19x +76 +310/(x-4)

Step-by-step explanation:

The process is straightforward. Find the quotient term, multiply it by the divisor and subtract from the dividend to get the new dividend. Repeat until the dividend is a constant (lower-degree than the divisor).

The tricky part with this one is realizing that there is no x-term in the original dividend, so that term needs to be added with a 0 coefficient. The rather large remainder is also unexpected, but that's the way this problem unfolds.

__

Unlike numerical long division, polynomial long division is simplified by the fact that the quotient term is the ratio of the highest-degree terms of the dividend and divisor. Here, the first quotient term is (5x^3)/(x) = 5x^2.

8 0
3 years ago
suppose that a water fountain produces a stream of water that follows the shape of a parabola. assigning the origin of a coordin
Readme [11.4K]

The quadratic regression equation for the stream of water is y=-0.139x^{2} +1.667x {parabola}

     

Given that the water stream produced by fountain is parabola

Vertex of parabola is (6,5) , parbola is facing downward,axis of symmetry of parabola is x=6 and parabola passes through (0,0)

according to symmetry the third point on the parabola is (12,0)

General equation for a parabola⇒ Y=-4aX^{2}

⇒(y-5)=-4a(x-6)^{2}    { as the Vertex of parabola is (6,5) }

⇒(y-5)=-4a(x^{2} +36-12x)

subtituting (0,0) in the equation to get the value of a

⇒-5=-4a(36)

⇒ a=\frac{-5}{144}                      

equation of parabola⇒(y-5)=-4( \frac{5}{144})(x-6)^{2}

Therefore,The quadratic regression equation for the stream of water is y=-0.139x^{2} +1.667x

Learn more about parabola here:

brainly.com/question/21685473

#SPJ4              

                                 

                                       

3 0
2 years ago
Tino and Kate are tailors sewing buttons on shirts . Each shirt needs 8 buttons . Together, the tailors attach 80 buttons . If t
Crazy boy [7]
If each shirt needs eight buttons you find out what times (×) Eight equals (=) 80
8×10=80
So Eight buttons per shirt
So together they made 10 shirts
but they ask how many Timor made so you do 10 ÷ 2= 5

Timor Made Five (5) Shirts
8 0
3 years ago
Read 2 more answers
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