Task: Use the following situation to answer Parts A and B Instructions At noon, a tank contains 100 gallons of water. The table shows the input and output of water from pipes A, B, and C. The pipes begin operating simultaneously at noon. A B C Pipe Flow IN (gallons per minute) a (2) = 172 6(2) = 80 Flow OUT (gallons per minute) c (2)=30r Complete each of the 2 activities for this Task. Activity 1 of 2 Let T (2) represent the amount of water in the tank x minutes after all of the pipes A, B, and C are opened. Which of the following functions represents T (x)? O A T (2) = 100 + a(z) +b(2) - c(x) OCT (x) = 100 + a (x) +b(2) + c(2) OBT () = a (x) + b() +(2) ODT (2) = a (x) +b(x) - c(:) Activity 2 of 2 Using the equation, after how many minutes will the tank be empty?​

Answer:

27

Step-by-step explanation:

The area of the triangle is 30.9 square units.

We have,

From the figure,

Height = Distance between (-2, 6) and (-2, 0).

Base = Distance between (-2, 0) and (7, -5).

To find the distance between two points in a Cartesian coordinate system, use the distance formula:

Distance = [tex]\sqrt{((x_2 - x_1)^2 + (y_2 - y_1)^2)[/tex]

Height:

Distance = √((-2 - (-2))² + (0 - 6)²)

Distance = √(0² + (-6)²)

Distance = √(0 + 36)

Distance = √36

Distance = 6

Base:

Distance = √((7 - (-2))² + (-5 - 0)²)

Distance = √((7 + 2)² + (-5)²)

Distance = √(9² + (-5)²)

Distance = √(81 + 25)

Distance = √106

Distance ≈ 10.3

Now,

The area of the triangle.

= 1/2 x base x height

= 1/2 x 10.3 x 6

= 10.3 x 3

= 30.9 square units

Thus,

The area of the triangle is 30.9 square units.

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Answer:

3:5

Step-by-step explanation:

take the biggest common factor which would be 6 in this case, and just divide the two out by that. 3:5

Answer:

2 to the power of 7

Step-by-step explanation:

add the powers when it is multiplication

Answer:

The answer is A because A has 9 zeroes behind 3.5

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[tex]18 {c}^{3} - 50c = 0 [/tex]

[tex]2c(9 {c}^{2} - 25) = 0 [/tex]

[tex]2c(3c + 5)(3c - 5) = 0[/tex]

_________________________________

[tex]2c = 0[/tex]

[tex]c = 0[/tex]

_________________________________

[tex]3c + 5 = 0[/tex]

[tex]c = - \frac{5}{3} \\ [/tex]

_________________________________

[tex]3c - 5 = 0[/tex]

[tex]c = \frac{5}{3} \\ [/tex]

Done...

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The only zero of the equation 0=18c³−50c is c = 0, as it makes the equation true when substituted.

value is a zero of the equation 0 = 18c³ - 50c,

putting in the value for c

If c = 0:

0 = 18(0)³ - 50(0)

0 = 0 - 0

0 = 0 (True)

If c = 2:

0 = 18(2)³ - 50(2)

0 = 18(8) - 100

0 = 144 - 100

0 = 44 (False)

If c = -1:

0 = 18(-1)³ - 50(-1)

0 = 18(-1) + 50

0 = -18 + 50

0 = 32 (False)

only c = 0 is a zero of the equation 0 = 18c³ - 50c.

The equation 0 = 18c³ - 50c has only one zero, which is c = 0, as it satisfies the equation when substituted.

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Answer:

Jared is 14 years old

Step-by-step explanation:

Answer:

The answer is

[tex] \huge \frac{5}{2} \\ [/tex]

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]

From the question the points are

(-9, 2) and (1, 27)

We have

[tex]m = \frac{27 - 2}{1 - - 9} = \frac{25}{1 + 9} = \frac{25}{10} = \frac{5}{2} \\ [/tex]

We have the final answer as

[tex] \frac{5}{2} \\ [/tex]

Hope this helps you

Answer and Step-by-step explanation:

Solution:

Given:

Let A is the event of a person over 50 diagnosed by health service.

B1 is the event that an adult over 50 actually has diabetes.

B2 is the event that an adult over 50 does not have diabetes.

P (B1) = 8% = 0.08

And P (B2) = 1 – P (B1)

                  = 1 – 0.08

                  = 0.92

Correctly diagnose of all persons with diabetes= 95%

P (A/B1) = 0.95

Incorrectly diagnose of all persons without diabetes=   2%

P (A/B2) = 0.02

(a) ) the community health service will diagnose an adult over 50 as having diabetes.

P (B1) P (A/B1) = (0.08) (0.95) = 0.076

P (B2) p (A/B2) = (0.92) (0.02) =0.0184

P (B1) P (A/B1) + P (B2) p (A/B2) =  0.076 + 0.0184

                                                     = 0.0944

(b)  A person over 50 diagnosed by the health service as having diabetes actually has the disease.

By using formula:

P (B1/A) = P (B1) P (A/B1) / P (B1) P(A/B1) + P (B2) P (A/B2)

Put all the given values:

= (0.08) (0.95) / (0.08) (0.95) + (0.92) (0.02)

=0.076 / 0.076 + 0.0184

=0.076 / 0.0944

= 0.8050

Using conditional probability, it is found that there is a:

a) 0.0944 = 9.44% probability that the community health service will diagnose an adult over 50 as having diabetes.

b) 0.8051 = 80.51% probability that a person over 50 diagnosed by the health service as having diabetes actually has the disease.

Conditional Probability

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

Item a:

The percentages of a positive test is:

Hence:

[tex]P(A) = 0.95(0.08) + 0.02(0.92) = 0.0944[/tex]

0.0944 = 9.44% probability that the community health service will diagnose an adult over 50 as having diabetes.

Item b:

From item a, [tex]P(A) = 0.0944[/tex].

The probability of both a positive test and having the disease is:

[tex]P(A \cap B) = 0.95(0.08)[/tex]

Hence, the conditional probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.95(0.08)}{0.0944} = 0.8051[/tex]

0.8051 = 80.51% probability that a person over 50 diagnosed by the health service as having diabetes actually has the disease.

A similar problem is given at https://brainly.com/question/14398287

Answer:

nucleic acid

Step-by-step explanation:

Answer:

1) x = 3/2  2)  x = 6  3) x = 3

Step-by-step explanation:

For Number 1:

4(x+8)−4=34

Step 1: Simplify both sides of the equation.

4(x+8)−4=34

(4)(x)+(4)(8)+−4=34(Distribute)

4x+32+−4=34

(4x)+(32+−4)=34(Combine Like Terms)

4x+28=34

Step 2: Subtract 28 from both sides.

4x=6

Step 3: Divide both sides by 4.

4x/4 = 6/4

x = 3/2

For Number 2:

2/3(9+x)=−5(4−x)

Step 1: Simplify both sides of the equation.

6 + 2/3x = −20+5x

Step 2: Subtract 5x from both sides.

−13 /3 x+6=−20

Step 3: Subtract 6 from both sides.

-13/3x = -26

Step 4: Multiply both sides by 3/(-13)

x = 6

For Number 3:

−3(x+4)+15=6−4x

Step 1: Simplify both sides of the equation.

−3(x+4)+15=6−4x

(−3)(x)+(−3)(4)+15=6+−4x(Distribute)

−3x+−12+15=6+−4x

(−3x)+(−12+15)=−4x+6(Combine Like Terms)

−3x+3=−4x+6

−3x+3=−4x+6

Step 2: Add 4x to both sides.

−3x+3+4x=−4x+6+4x

x+3=6

Step 3: Subtract 3 from both sides.

x+3−3=6−3

x = 3

Answer:

A is the Answer.

Step-by-step explanation:

You multiply x with 2x ( Gives you 2x^2 ) then -1 with 2x ( Gives you -2x ) then -8 with x ( Gives you -8x ) then -1 with-8 ( Gives you +8 ), finally you add the two x's ( not x^2 ). Your fibal answer will be 2x^2 - 10x +8.

Hope this helps.

Answer:  Eventually you memorize these measurements if you are in cullinary arts.

Step-by-step explanation:

Chart attached, I hope!

Answer: p = 4n

Step-by-step explanation:

To find the perimeter of a shape, you need to add the length of the 4 sides. A square's 4 sides are equal. Therefore, you add n+n+n+n which is the same as 4n.

Answer:

P = n4

Step-by-step explanation:

in order to find the perimeter of an object you must add up all the sides. since we are dealing with a square all the sides are n. so in conclusion, 4 times n would you get you the perimeter, P.

Answer:

2/121, 1/121

Step-by-step explanation:

Problem 1:

We have the following letters in the bag:

P R O B A B I L I T Y

There is a total of 11 letters.

If we select B, we have a 2/11 chance to get it. If we then replace it and select A, we have a 1/11 chance to select it.

Thus we have a (2/11) * (1/11) chance to get that combination,

Which is 2/121.

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Problem 2

We have the following letters in the bag:

P R O B A B I L I T Y

There is a total of 11 letters. If we select P, we have a 1/11 chance to get it. If we then replace it and select L, we have a 1/11 chance to select that.

Thus we have a (1/11) * (1/11) chance to get that combination,

Which is 1/121.

Answer:

Step-by-step explanation:

Easiest way would be to substitute points into the given equations and plot your answers.

E.g. if you substitute points into your first equation you get:

If x = 0, y = -4(0) +2 = 2

If x = 1, y = -4(1) +2 = -2

If x = -1, y = -4(-1) +2 = 6

Etc.

Second equation:

If x = 0, y= -(0) -1 = -1

If x = 1, y = -1 -1 = -2

If x = -1, y = -(-1) -1 = 0

Pretty much just plug in values for x into the equations to find y.

Once you have your points, draw a line :)

Where the two lines intercept would be the solution.

Answer:

90×0.7

Step-by-step explanation:

I think this is the correct answer.

100-30=70

70=0.7

EF = JK

FG = KL

LJ = GE

Here you go.

Answer:

Step-by-step explanation:

Total student=50

35 -> j.

25 -> r.

16-> j.+r.

35-16=19 students joined j.

25-16=9 joined r.

50-19+9

50-28=22

Awnser is 22

It will be nice if you give me brainliest. Good luck!

Answer:

C. -3

Step-by-step explanation:

First, you would subtract 2m on both sides in the first equation, to get 6m = -6. Since you wan to find 3m, just divide -6 by 2 to get -3.

Answer:

0.000000093

Step-by-step explanation:

Theres seven zeros after the decimal

Answer:

A' (2, -1)

Explanation:

The object's point A has a coordinate of (-2, 4).

The translation rule states that you:

- Add the x coordinate by 4 (x + 4)

- Subtract the y coordinate by 5 (y - 5)

Substitute the rule to point A's coordinate (x = -2 and y = 4).

(-2 + 4 , 4 - 5) = (2, -1)

Notice that the image's point A has moved four steps to the right and down by five steps from the original object.

Answer:

43/2

Step-by-step explanation:

Evaluate 12 - (3 y)/2 + y (2 y - 4/y) where y = 3:

12 - 3 y/2 + y (2 y - 4/y) = 12 - 3×3/2 + 3 (2×3 - 4/3)

Hint: | Express -3×3/2 as a single fraction.

-3×3/2 = (-3×3)/2:

12 + (-3×3)/2 + 3 (2×3 - 4/3)

Hint: | Multiply 2 and 3 together.

2×3 = 6:

12 - (3×3)/2 + 3 (6 - 4/3)

Hint: | Multiply -3 and 3 together.

-3×3 = -9:

12 + (-9)/2 + 3 (6 - 4/3)

Hint: | Put the fractions in 6 - 4/3 over a common denominator.

Put 6 - 4/3 over the common denominator 3. 6 - 4/3 = (3×6)/3 - 4/3:

12 - 9/2 + 3 (3×6)/3 - 4/3

Hint: | Multiply 3 and 6 together.

3×6 = 18:

12 - 9/2 + 3 (18/3 - 4/3)

Hint: | Subtract the fractions over a common denominator to a single fraction.

18/3 - 4/3 = (18 - 4)/3:

12 - 9/2 + 3 (18 - 4)/3

Hint: | Subtract 4 from 18.

| 1 | 8

- | | 4

| 1 | 4:

12 - 9/2 + 3×14/3

Hint: | Express 3×14/3 as a single fraction.

3×14/3 = (3×14)/3:

12 - 9/2 + (3×14)/3

Hint: | Cancel common terms in the numerator and denominator of (3×14)/3.

(3×14)/3 = 3/3×14 = 14:

12 - 9/2 + 14

Hint: | Put the fractions in 12 - 9/2 + 14 over a common denominator.

Put 12 - 9/2 + 14 over the common denominator 2. 12 - 9/2 + 14 = (2×12)/2 - 9/2 + (2×14)/2:

(2×12)/2 - 9/2 + (2×14)/2

Hint: | Multiply 2 and 12 together.

2×12 = 24:

24/2 - 9/2 + (2×14)/2

Hint: | Multiply 2 and 14 together.

2×14 = 28:

24/2 - 9/2 + 28/2

Hint: | Add the fractions over a common denominator to a single fraction.

24/2 - 9/2 + 28/2 = (24 - 9 + 28)/2:

(24 - 9 + 28)/2

Hint: | Evaluate 24 + 28 using long addition.

| 1 |  

| 2 | 8

+ | 2 | 4

| 5 | 2:

(52 - 9)/2

Hint: | Subtract 9 from 52.

| 4 | 12

| 5 | 2

- | | 9

| 4 | 3:

Answer: 43/2

Answer: 7(g + 3g) , 7g + 7(3g) , and 28g

Step-by-step explanation: I got it wrong and it showed me the answers so here you go

Answer:

B

Step-by-step explanation:

THe answer is b because you have to divide 3 by whatever the answer is so just divide all answers until you get one thats 120 so b

Answer:

B.40 words

Step-by-step explanation:

120÷3=40

40×3=120

Answer:

x=12

Step-by-step explanation:

collect the x stuff on one side

2/3 x + 1/6 x = 9 + 1

5/6 x = 10

x = 12

Answer:

x=12

Step-by-step explanation:

first, you need to get the variable to one side

the easiest way to do it and not deal with negatives would be this way:

2/3x - 1 = 9 - 1/6x

+1/6x            +1/6x           in order to do this you must first convert the 2/3 to 4/6

to then get

5/6x - 1 = 9

then solve it like normal

5/6x - 1 = 9

       +1     +1

5/6x = 10

/ 5/6   /5/6

x=12