g Suppose that a large mixing tank initially holds 500 gallons of water in which 50 pounds of salt have been dissolved. Another brine solution is pumped into the tank at a rate of 3 gal/min, and when the solution is well stirred, it is then pumped out at a slower rate of 2 gal/min. If the concentration of the solution entering is 2 lb/gal, determine a differential equation (in lb/min) for the amount of salt A(t) (in lb) in the tank at time t > 0. (Use A for A(t).)

Answer:

(2x+2y+7)(x+y+7)

Step-by-step explanation:

I suspect this is what you are expected to do.

Define z=x+y

2z^2+9z+7

2z^2+2z+7z+7

2z(z+1)+7(z+1)

(2z+7)(z+1)

(2x+2y+7)(x+y+7)

Answer:

19.35?

Step-by-step explanation:

Answer:

[tex]-1.5x - 3.5y =- 31.5[/tex]

Step-by-step explanation:

Given

AB: [tex]-7x + 3y = -21.5[/tex]

[tex]PQ(x_1,y_1) = (7,6)[/tex]

Required

Determine the equation of PQ

First, we calculate the slope of AB:

[tex]-7x + 3y = -21.5[/tex]

Make 3y the subject

[tex]3y = 7x - 21.5[/tex]

Make y the subject

[tex]y = \frac{7}{3}x - \frac{21.5}{3}[/tex]

An equation has the general form:

[tex]y = mx + b[/tex]

Where m = slope

So:

[tex]m = \frac{7}{3}[/tex] -- Slope of AB

From the attached diagram, we can see that PQ is perpendicular to AB.

This means that, the relationship between their slope is:

[tex]m_2 = -\frac{1}{m_1}[/tex]

Substitute 7/3 for m1

[tex]m_2 = -\frac{1}{7/3}[/tex]

[tex]m_2 = -\frac{3}{7}[/tex]

The equation of PQ is then calculated as:

[tex]y - y_1 = m(x - x_1)[/tex]

Where

[tex]m = m_2 = -\frac{3}{7}[/tex]

and

[tex]PQ(x_1,y_1) = (7,6)[/tex]

So, we have:

[tex]y - 6 = -\frac{3}{7}(x - 7)[/tex]

Multiply both sides by 7

[tex]7(y - 6) = -\frac{3}{7}(x - 7)*7[/tex]

[tex]7y - 42 = -3(x-7)[/tex]

Open bracket

[tex]7y - 42 = -3x + 21[/tex]

Collect Like Terms

[tex]3x + 7y = 42 + 21[/tex]

[tex]3x + 7y = 63[/tex]

Divide through by -1/2

[tex]-\frac{1}{2}(3x + 7y) = -\frac{1}{2}*63[/tex]

[tex]-1.5x - 3.5y =- 31.5[/tex]

The equation of PQ is: [tex]-1.5x - 3.5y =- 31.5[/tex]

Answer:

B. -1.5x − 3.5y = -31.5

Step-by-step explanation:

Got it right on the test. ; )

Answer:

the meaning of 1, 1.5 is that 1.5 is the oil sad and the 1 is the vinegar.

Step-by-step explanation:

Answer:

d=-8

Step-by-step explanation:

-8 × -4=+32 ....always remember a positive number and negative number equals a negative number and negative number times a negative number is a positive number

Answer:

-8

Step-by-step explanation:

Answer:

hmm...Umm not sure what that is You are talking about

Answer:

which equation?? mmmmm.........

Answer:

C) x = -2 ± [tex]\sqrt{7}[/tex]

Step-by-step explanation:

3x² + 12x - 9 = 0

divide through by 3

x² + 4x - 3 = 0

add 3 to each side

x² + 4x = 3

divide 4 in half and square it; add it to each side of equation

x² + 4x + 4 = 3 + 4

(x + 2)² = 7

x + 2 = [tex]\sqrt{7}[/tex]

x = -2 ± [tex]\sqrt{7}[/tex]

Answer:

D. a + 2 = 5

Step-by-step explanation:

apples + 2 more = 5 total

Answer:

question 5) 43

question 6) 38

question 3) 107

question 4) 82

Step-by-step explanation:

question 5 and 6 add up to 90 so 90-47=43

and questions 3 and 4 add up to 180 so, 180-73=107

qnd 52+46 =98 so 180-98=82

Answer:

Step-by-step explanation:

3(-2)-15+2 = -6-15+2 = -21+2 = -19

Answer: -19

Step-by-step explanation:

3(-2)-15+2

Multiply the 3 and -2 because of the parenthesis first:-6-15+2

Next just put the negative numbers together:-21+2

Then just do -21+2=-19

Answer:

3 and 4!!

hope this helps!!!

Answer:  Equation that represents this situation is 5(x+17) = 1495,

Price of one ticket is 282

Step-by-step explanation:

Here x represents the price of one ticket,

Also, a person bought travel insurance that costs $17 per ticket.

Hence, the total cost of a person = x + 17

⇒ The total cost of 5 person = 5 ( x + 17 )

But, According to the question,

5 ( x + 17 ) = 1495

⇒ x + 17 = 299

⇒ x = 299 - 17

⇒ x = 282

Hence, the price of one ticket = $ 282

Answer:

If 24 juice boxes=12$

Then one box=24÷12=2

One box is 2$

Step-by-step explanation:

:)

Step-by-step explanation:

the answer is

[tex]x = \sqrt{3} [/tex]

Answer:

equivalent

Step-by-step explanation:

i just know

Answer:

8.96

Step-by-step explanation:

Answer:

350:75?

fraction form: 350/70  

Step-by-step explanation:

Answer:

The cost of the t-shirt would be $19.20 with a 20% discount and the amount discounted is $4.80

Step-by-step explanation:

24*0.8 = $19.20

Answer:

Step-by-step explanation:

The discount is:

price × discount

We can substitute the discount of 20% for 0.2 and multiply to find the amount of money taken away which gives us the remaining amount or the amount you pay.

$19.20

Answer:

I don't speak Spanish so sorry can't help

m=s(q_2-q_1)

m/s=q_2-q_1

q_2=m/s  +  q_1

[tex] \tt \dashrightarrow m = s(q_2 - q_1) [/tex]

[tex] \tt \dashrightarrow \dfrac{m}{s} = q_2 - q_1[/tex]

[tex] \tt \dashrightarrow \dfrac{m}{s} + q_1= q_2[/tex]

[tex] \tt \dashrightarrow q_2 = \dfrac{m}{s} + q_1[/tex]

[tex] \large \underline{\boxed{\bf{q_2 = \dfrac{m}{s} + q_1}}}[/tex]

Hence, value of [tex] \tt q_2 = \dfrac{m}{s} + q_1[/tex]

Answer:

3/4 i think

Step-by-step explanation:

Answer:

0.75

Step-by-step explanation:

slope=(y_2-y_1)/(x_2-x_1)

slope=(6-3)/(7-3)

slope=(3)/(4)

slope=0.75

Answer:

equation 80

Step-by-step explanation:

sana makatulong ❤❤

Answer: I think its, Algebraic expression​

Step-by-step explanation:

A mathematical phrase involving at least one variable and sometimes numbers and operation symbols.

Answer:

The answer to this question is algebraic expression.

Step-by-step explanation:

Got it right on edge 2020!!!

Hope this helps!!!

Answer:

m = 5

Step-by-step explanation:

.........................

Answer:

Mean:8

Median:8.5

Mode:9,4

Step-by-step explanation:

Mean Steps:

mean(5,9,7,12,6,4,10,8,14,9,4)

To find the mean of the set 5,9,7,12,6,4,10,8,14,9,4 first add the members together.

5+9+7+12+6+4+10+8+14+9+4=88

The mean (average) of the set 5,9,7,12,6,4,10,8,14,9,4 is found by dividing the sum of its members by the number of the members, in this case 11.

88/11 = 8

Mode Steps:

Mode(5,9,7,12,4,10,8,14,9,4)

The mode of a set is the value that appears most often. The mode can have more than one value if two or more values appear the same number of times and more times than any other values in the set.

mode(5,9,7,12,4,10,8,14,9,4)

Putting the numbers in order can make it easier to find the mode because values that appear more than once will be next to each other.

4,4,5,7,8,9,9,10,12,14

In this case the mode has more than one value because 9 and 4 both appear 2 times, more often than any other values.

mode(4,4,5,7,8,9,9,10,12,14)=9,4

Answer:

Step-by-step explanation:

Answer:

7x+5

Step-by-step explanation: