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2 years ago

Solve -12 = z ÷ 3 for z.

Mathematics

2 answers:

Tasya [4]2 years ago

6 0

Answer:

z=−36

Step-by-step explanation:

Andrew [12]2 years ago

3 0

Answer:

-4 i think

Step-by-step explanation:

divide -12 by 3 to get -4

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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

3 0

3 years ago

Select all equations that have infinitely many solutions.

Wewaii [24]

Answer: 4x-8x, t-8=t hope this helps!

Step-by-step explanation:

3 0

2 years ago

2(-2x + 2) + x + 3 = 37

Pavel [41]

Answer:

x=-10 is your answer

Step-by-step explanation:

2(-2x+2)+x+3=37

-4x+4+x+3=37

-4x+4+x=34

-4x+x=30

-3x=30

x=-10

7 0

2 years ago

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There are s swimmers in the swimming club. The club bought 15 swimming caps to split among its members. Write an expression that

vivado [14]

Answer:

15/s

Step-by-step explanation:

15 caps ÷ s = 15/s caps per swimmer

6 0

2 years ago

The volume of a cone is 339.12 if the radius is 6 meters calculate the height

Natali5045456 [20]

Answer:

9 meters

Step-by-step explanation:

V = 1/3 * pi * r^2 * h

339.12 = 1/3 * pi * 6^2 * h

h = 3 * (339.12)/(36 pi)

h = 9 meters

3 0

3 years ago

Read 2 more answers