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Kryger [21]
2 years ago
5

Please help me I don’t understand

Mathematics
1 answer:
andrezito [222]2 years ago
7 0

angle 5 and angle 4 are exterior angles

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Suppose that a large mixing tank initially holds 400 gallons of water in which 70 pounds of salt have been dissolved. Pure water
Setler79 [48]

Answer:

Step-by-step explanation:

Given that a large mixing tank initially holds 400 gallons of water in which 70 pounds of salt have been dissolved. Pure water is pumped into the tank at a rate of 4 gal/min, and when the solution is well stirred, it is then pumped out at the same rate.

Let Q(t) be the quantity of salt at time t.

Q(0) = 70 pounds

Inflow of water = outflow = 4 gal/min

So resulting volume of tank at time t = 400 gallons

Rate of change of salt = inflow - outflow

= 0 - \frac{Q(t)}{400}

i.e. \frac{dQ}{dt} =\frac{-Q(t)}{400}

This is a variable separable equation

\frac{dQ}{Q}=-\frac{dt}{400} \\ln Q = {-\frac{t}{400}} +C\\Q = A e^{-\frac{t}{400}}

Use when t =0 Q = 70

A =70

So A(t) = Q(t) = 70 e^{-\frac{t}{400}} and

A(0) = Q(0) = 70 lbs.

7 0
2 years ago
PLZ HELP ME I NEED THIS FAST
goblinko [34]
The answer is D :) II hope that this helps and if you need a bigger description I can help
7 0
2 years ago
Which line represents the direct variation equation y = 1/2x?
Verdich [7]

Answer:

C.

Step-by-step explanation:

y = 1/ x must pass through the origin because when x = 0, y = 0.

So its either B or C.

A positive slope rises to the right ( 1/2  is positive), so its C.

You can also see that the slope of C is 1/2 because it passes through the points (0.0) and (2, 1).

7 0
3 years ago
Read 2 more answers
5,25,125 find 10th term
anastassius [24]

Answer:

9765625

Step-by-step explanation:

There is a common ratio between consecutive terms , that is

r = 25 ÷ 5 = 125 ÷ 25 = 5

This indicates the sequence is geometric with n th term

a_{n} = a₁r^{n-1}

where a₁ is the first term and r the common ratio

Here a₁ = 5 and r = 5 , then

a₁₀ = 5 × 5^{9} = 5 × 1953125 = 9765625

6 0
3 years ago
Carmen measured a room to be 10 1/2 feet by 12 5/8 feet. what is the area of the room written as a decimal?
kipiarov [429]

Area = l * w

A = 10 1/2 * 12 5/8

A = 21/2 * 101/8 = 2121/16

A = 132.56 ft²


8 0
3 years ago
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