I have to redo this test and I'm stuck on this question. Please help and please show work.

A jug has a maximum capacity of 14 liters. is filled to 60% of its capacity, and then poured out at a rate of 60 mL/s. Which of

ZanzabumX [31]

Answer:

W(x) = 3.4 L - (25/1000)(L/s)*x

Step-by-step explanation:

it a tip

W(x) = 3.4 L - (25/1000)(L/s)*x

The maximum of the jug is 4 L.

now, the jug is 85% filled, then the amount of water in the jug is:

(85%/100%)*4L = 0.85*4L = 3.4L

Now, we pour 25 mL each second, so we could write a linear equation as:

W(x) = 3.4L - (25ml/s)*x

where x is the number of seconds that passed since the beginning,

But we want to write this in Liters, we have that:

1L = 1000mL.

Then 1mL = (1/1000) L

then we can write 25 mL as:

25m L = 25*(1/1000) L = (25/1000) L

Then we can write the equation as

W(x) = 3.4 L - (25/1000)(L/s)*x

which is the amount of water remaining in the jug after x seconds.

7 0

2 years ago

Which algebraic function has a smaller rate of change than the equation?<br><br> f(x)=2x−9

vredina [299]

It will be the second option i believe

4 0

2 years ago

Show that from any subset of 51 numbers taken from {1, 2, 3, ..., 100}, there exists a pair of elements such that one divides an

Sunny_sXe [5.5K]

Consider the 50 odd numbers 1,3, 5, ..., 99.

For each one, form a box containing the number and all powers of 2 times

the number.

So the first box contains {1,2,4,8, 16,..}

the next box contains {3,6,12,24,48, ...}

Then among the 51 numbers chosen, the pigeonhole principle tells us that there are two that are contained in the same box. They must be of the form $2^{m} k$ and $2^{n} k$ with the same odd number k. So one will divide the other.

<h3>What is pigeonhole principle?</h3>

According to the pigeonhole principle, if n items are placed in m containers, with n > m, at least one container must contain more than one item.

For example, if you have three gloves (and none of them are ambidextrous/reversible), you must have at least two right-handed gloves or at least two left-handed gloves, because there are three objects but only two categories of handedness to put them into.

To learn more about pigeonhole principle from the given link

brainly.com/question/13982786

#SPJ4

4 0

1 year ago

Let f be the function given by f(x)=x³−3x². What are all values of c that satisfy the conclusion of the Mean Value Theorem of di

FromTheMoon [43]

Answer:

The values are <em>c = 2 </em>

Step-by-step explanation:

The Mean Value Theorem states that if a function is continuous on a closed interval [a, b] and differentiable on the open interval (a, b), then there exists a point c in (a, b) such that

f'(c) = (f(b) - f(a)) / (b - a)

Therefore,

f(x) = x³ - 3 x² is a function that is continuous on [0, 3] and differentiable on (0, 3), so there exists at least one c in (0, 3) such that

f'(c) = (f(3) - f(0)) / (3 - 0) = (0 - 0) / 3 = 0

where

f'(x) = 3 x² - 6 x,

f(3) = 0

f(0) = 0

Thus, since f'(0) = 3 c² - 6 c = 0, which only has <em>one solution</em> in (0, 3), namely <em>c = 2</em> ( since the other solution, c = 0, is not in the open interval).

4 0

3 years ago

Please solve this problem:

BARSIC [14]

2x+3y=18
subtract 2x from both sides
3y= -2x+18
divide by 3 on both sides
y=-2/3x+6

8 0

2 years ago