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2 years ago

6

A 100-point math test contained true/false questions worth 3 points each and short answer questions worth 11 points each. If the

re are 4 true/false questions, how many short answer questions are there?

1 answer:

TiliK225 [7]2 years ago

3 0

Answer:

8

Step-by-step explanation:

100 - 12 (true or false) = 88

88/11 = 8

Hope this helps!!

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Water is pumped into a tank at a rate of r (t)=30(1−e− 0.16t) gallons per minute, where t is the number of minutes since the pum

Vlad1618 [11]

Answer:

The total volume of the water in the tank after 20 minutes = 1220 gallons

Step-by-step explanation:

Rate of water pumped into the tank r (t) = 30 (1 - $e^{-0.16 t}$ )

Initial volume of water in the tank = 800 gallons

The water in the tank after 20 minutes = Initial volume of water in the tank + Volume of water being pumped in the tank

$V_{total} = V_{i} + V_{pump}$

$V_{pump}$ = $\int\limits^a_b {r(t)} \, dt$

Where a = 0 , b = 20

Put the value of r (t) in above equation we get

$V_{pump}$ = $\int\limits^a_b {30 (1 - e^{-0.16t} )} \, dt$

$V_{pump}$ = $30 [ t + \frac{e^{-0.16t} }{0.16} ]$

$V_{pump}$ = $30[ (20- 0) + \frac{1}{0.16}(e^{-0.16 (20)}- e^{0} )$

$V_{pump}$ = 420 gallon

Now, total volume in the tank

$V_{total} = V_{i} + V_{pump}$

$V_{total} = 800 + 420$

$V_{total} = 1220 \ gallon$

Therefore the total volume of the water in the tank after 20 minutes = 1220 gallons

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2 years ago

Which is the largest decimal? Please explain.<br> 0.267<br> 0.530000<br> 0.407<br> 0.000011

Slav-nsk [51]

The largest is 0.530000 because it is closest to 1. The 5 is the largest in the tenths place.

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2 years ago

Find one value of xxx that is a solution to the equation (2x+3) 2 −6x−9=0

vesna_86 [32]

(2x+3) ^2 −6x−9=0

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Foil

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Combine like terms

4x^2 +6x=0

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2x(2x+3)=0

2x=0 2x+3=0

x=0 2x=-3

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2 years ago

Write an equation to represent the following: Three consecutive integers add up to 11 more than the smallest.

mr Goodwill [35]

Answer:

Step-by-step explanation:

First we have to assume the smallest integer.

Let,

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So, the other two integers are-

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Allushta [10]

20X0.3= 6
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