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VMariaS [17]
3 years ago
15

Choose the correct simplification of the expression (−2x 8y)(9x − 3y).−18x2 78xy − 24y218x2 78xy − 24y2−18x2 − 78xy 24y2−18x2 72

xy − 24y2
Mathematics
1 answer:
Sedbober [7]3 years ago
3 0
The last one -18x2 72xy -24y2
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A large storage tank holds 2900 m3 of a liquid mixture that has 112% of the density of water. The tank is in an empty warehouse
frez [133]

Answer:

Part a) The height that the liquid forms equals 2.56 feet.

Part b) The number of trucks required are 361.

Step-by-step explanation:

When all the liquid mixture is spilled from the storage  tank it will accumulate over the floor space.

Thus we infer

V_{spilled}=V_{accumulated}

where

V_{spilled} is spilled volume of mixture = 2900m^{3}

V_{accumulated} is accumulated volume over the floor

Since the floor is smooth thus we conclude that the accumulated volume will form a prism of liquid with height 'h'

Thus  

V_{accumulated}=Area\times h=40000\times h

Equating both the volumes we get

40000\times h=2900m^{3}\times \frac{35.314ft^{3}}{m^{3}}=102412.533ft^{3}\\\\\therefore h=\frac{102412.533}{40000}=2.56 feet

Thus the height formed by the liquid equals 2.56 feet.

Part b)

We know that the basic relation between density, mass and volume is

Mass=density\times volume

Since it is given that the density of the liquid is 112% the density of water thus we have

density_{liquid}=1.12\times density_{water}\\\\density_{liquid}=1.12\times 1000=1120kg/m^3

Thus the weight of the volume of liquid is

mass=2900\times 1120=3248000kg

Now since it is given that 1 truck can carry 9000 kg of liquid thus by proportion the number of trucks need to carry 3248000 kilograms of liquid equals

n=\frac{3248000}{9000}=360.88\approx 361  

4 0
4 years ago
Quick Fix Inc. repairs bikes. Their revenue, in dollars, can be modeled by the equation y = 400 + 220x, where x is the number of
Sholpan [36]
The break even point is that where the total cost is equal to the total revenue. To determine the number of hours in which Quick Fix Inc. will have a breakeven, we have to equate the two equations and solve for the value of x,
                              400 + 220 x = 20x² + 160
The values of x from the equation are 12 and -1. Since, we do not have a negative for the number of hours, our answer is 12 hours. 
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3 years ago
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The relation {(-1, 4), (2, 7), (3, 7)} is a function. True False
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False...........................
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8-5x =2x + 20 <br> Simplify<br> I’ll give brainliest
kobusy [5.1K]

Answer:

X= - 12/7 i hope it is helpful have a nice day if you want steps i will show you

6 0
3 years ago
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Find the SUM on a compound interest basis on $10,000 for 2 years at 7% pa (with explanation)
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Answer:

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A=P(1+r)t

Follow the steps of the formula.

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