MATHEMATICS HIGH SCHOOL

A tank holding 600 liters of milk is leaking. Each week it loses 60 liters of milk. Let M be the liters of milk remaining in the tank after leaking for t weeks.Is M a linear function or an exponential function?

Why?

Answers

Answer 1
Answer: linear, because the tank will eventually be empty. In about 10 weeks
Answer 2
Answer:

Final answer:

The liters of milk remaining in the tank after leaking for t weeks is represented by an exponential function. An exponential function is a mathematical function in which the independent variable appears as an exponent.

Explanation:

The function that represents the liters of milk remaining in the tank after leaking for t weeks is an exponential function. An exponential function is a mathematical function in which the independent variable appears as an exponent. In this case, the liters of milk lost each week is constant, so the amount of milk remaining in the tank is decreasing exponentially over time.

Formula for exponential decay: M = P * (1 - r)^t, where M is the amount of milk remaining, P is the initial amount of milk, r is the rate of decay, and t is the number of weeks.

In this case, the initial amount of milk, P, is 600 liters and the rate of decay, r, is 60/600 = 0.1 (10%). So the exponential function that represents the liters of milk remaining after t weeks is M = 600 * (1 - 0.1)^t.

Learn more about Exponential decay here:

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Given B is between A and C, find the value of x if AB = 22, BC = 16x, and AC = 182.

Answers

Answer:

10

Step-by-step explanation:

Since we know that B is between A and C, it doesn't matter where B is, but, we are sure that AB plus BC equals AC. In an equation:

AB+BC=AC

We know that AB is 22, BC is 16x, and AC is 182. Substitute:

22+16x=182

Now, find the value of x. Subtract 22 from both sides:

16x=160

Divide both sides by 16:

x=10

So, the value of x is 10.

And we're done!

Answer:

x=10

Step-by-step explanation:

Start with:

AB+BC=AC

Substitute in your values.

22+16x=182

Subtract 22 from both sides of the equation.

16x=182-22

Combine like terms.

16x=160

Divide by the coefficient of x, which in this case is 16.

x=10

K³-4j+12 when k=8, j=2​

Answers

k³-4j+12 = (8)³ - 4(2) + 12
= 512 - 8 + 12
= 516


Therefore, the value of the expression k³-4j+12 when k=8 and j=2 is 516.

Jenny rented a bike from Danielle's Bikes.It cost $13 plus $3 per hour. If Jenny paid
$34, then she rented the bike for how
many hours?

Answers

The answer is 7 cuz 34-13=21/3=7

Answer:

7 hours

Step-by-step explanation:

34 minus 13, the original price to buy the bike. That equals 21, 21 divided by 3, equals 7, because every hour, 3 dollars is spent.

A group of 25 students want to see a drake concert. Tickets for members of drakes fan club cost $20 and tickets for no members cost $25. The total cost for tickets is $550

Answers

If you would like to know how many of each type of ticket were sold, you can calculate this using the following two equations:

a ... the number of drakes fan club tickets
s ... the number of no members tickets

$550 = a * $20 + s * $25 ... 550 = 20 * a + 25 * s
a + s = 25 ... a = 25 - s
__________________
550 = 20 * a + 25 * s

550 = 20 * (25 - s) + 25 * s

550 = 20 * 25 - 20 * s + 25 * s

550 - 20 * 25 = 5 * s

550 - 500 = 5 * s    /5

s = 50 / 5 

s = 10 tickets

a = 25 - s = 25 - 10 = 15 tickets

Result: There were 15 drakes fan club and 10 no members tickets sold.

Given the length of three sides of a triangle, which is a right triangle?

Answers

You need to give more info bro

Isolating variables abx=cy the variable is x. [please show me how)

Answers

abx = cy

We want to get rid of 'ab', and it is being multiplied to 'x', so we divide it to both sides.

x = (cy)/(ab)
abx=cy\nx=(cy)/(ab)
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