The expression -25t+1250 represents the volume of liquid of a container after t seconds. The expression 50t+250 represents the volume of liquid of another container after t seconds. What does the equation -25t+1250=50t+250 mean in this situation?

The answer for this question would be K=-2J+28. I hoped I helped!

Answer:

K=-2J+28

Step-by-step explanation:

i took the k 12 test

Answer:

∠F = 80

Step-by-step explanation:

Let's find inner ∠D first, as you can see, it's a straight line but a line is in between, the outer angle is 120, and a straight line is 180, so 180 - 120 = 60. The inner ∠D is 60, now we can find ∠F, a triangle is 180:

40 + 60 + ∠F = 180

100 +∠D = 180

subtract 100 from both sides

∠F = 80

Answer:

The probability is 0.9421

Step-by-step explanation:

Here, we want to calculate the probability that the batch will be accepted

For it to be accepted, 3,4 or 5 of the items would pass inspection

let p be the probability of a single item

passing the inspection

This probability is 80% = 0.8

Let q be the probability of failing inspection = 2-0.8 = 0.2

The Bernoulli approximation of the probability distribution for 3 passing the inspection out of five will be;

5 C 3 0.8^3 0.2^2 = 0.2048

Next we calculate for 4 out of the five

That will be

5 C 4 0.8^4 0.2 = 0.4096

Finally we calculate for all 5

5 C 5 0.8^5 0.2^0 = 0.32768

So the probability that the batch will be accepted will be;

0.32768 + 0.4096 + 0.2048 = 0.94208

Using the binomial distribution, it is found that there is a 0.9421 = 94.21% probability that the batch will be accepted.

For each item, there are only two possible outcomes, either they pass inspection, or they do not. The probability of an item passing inspection is independent of any other item, hence the binomial distribution is used to solve this question.

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem:

The probability that the batch will be accepted is:

[tex]P(X \geq 3) = P(X = 3) + P(X = 4) + P(X = 5)[/tex]

In which:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{5,3}.(0.8)^{3}.(0.2)^{2} = 0.2048[/tex]

[tex]P(X = 4) = C_{5,4}.(0.8)^{4}.(0.2)^{1} = 0.4096[/tex]

[tex]P(X = 5) = C_{5,5}.(0.8)^{5}.(0.2)^{0} = 0.3277[/tex]

Then:

[tex]P(X \geq 3) = P(X = 3) + P(X = 4) + P(X = 5) = 0.2048 + 0.4096 + 0.3277 = 0.9421[/tex]

0.9421 = 94.21% probability that the batch will be accepted.

You can learn more about the binomial distribution at https://brainly.com/question/24863377

Answer:

$250

Step-by-step explanation:

$212.50 is 85% of the original price.

Therefore use the equation below to find out original price.

(original price) * 0.85 = 212.50

original price = 212.50 / 0.85 = 250

Answer:

250

Step-by-step explanation:

hope this helps

Answer:

no bro

Step-by-step explanation:

no

Answer:

Angle a is the smallest

Answer:

ok coool

Step-by-step explanation:

i have nothing

Answer:

-21

Step-by-step explanation:

We can use the opposite operation and subtract 4.3 from -16.9 to find out what w is. From that, we will get -21.

(I'm really sorry, I'm bad at explaining things but I hope this helped)

Answer:

28+12x

Step-by-step explanation:

The perimeter of a square is 4s where s is the side lenght. In your case s is 7+3x so the perimeter will be (28+12x).

Answer:

1% are 5 students

Step-by-step explanation:

21% is 96 then

1% is X

X = 1*96 / 21

X = 5

Answer:

bottom one

Step-by-step explanation:

9a-b-2a-10b      add like terms

7a-11b

Answer:

67 dollars and 20 cents

Step-by-step explanation:

2.10 per thumb cover

32x2.10=67.2

Answer:

if a six controller thumb cover cost 2.10 then you multiply 2.10 by 5 (because if you need 32 then you divide 32/6 and you get 5) 2.10 x 5 would equal 10.50 so that's your answer 10.50

Step-by-step explanation:

Answer:

[tex]y-4=\frac{5}{4} (x+2)[/tex]

Step-by-step explanation:

First you can find the slope of the line that would pass through those two points using the formula:

m = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

m = [tex]\frac{3-(-2)}{8-4}[/tex]

m=5/4

Now you can just plug the slope and one of the points into point-slope form for an equation of the line that will pass through both points. You can choose either point here: I'll just use the first one.

So,

[tex]y-4=\frac{5}{4} (x+2)[/tex]

(don't leave out the parentheses!)

Answer:

5 quarters

2 nickels

Step-by-step explanation:

Answer:

5 quarters and 2 nickels.

Step-by-step explanation:

One quarter is equal to 25. 25x5=125. So, it would be 5 quarters because you wouldn't be able to go any farther without going over. One nickel is 5 and if you have 2 nickels you get 10. 10+125=135. So, there will be 2 nickels and 5 quarters.

Hope this helped!

Answer:56/23

Step-by-step explanation:

23x +18-12=62

23x+6=62

23x=56

X=56/23

Answer:

x=4

Step-by-step explanation:

Group like terms

23x-12x+18=62

add similar elements

11x+18=62

subtract 18 from both sides

11x+18-18=62-18

simplify

11x=44

divide both sdies by 11

11x/11=44/11

simplify

x=4

Answer:2.99 on edge

Step-by-step explanation: i got the question wrong just for the answer hope this helps

Answer:

2.99 on edge

Step-by-step explanation:

Answer:

The customer send and receive 15 GB of data during the month.

Step-by-step explanation:

Given;

Monthly charge for 6 GB of data = $67.95

Additional charge for each additional GB of data over 6 GB = $8.95

Bill received by the customer = $148.50

Therefore, we have:

Total amount paid for additional GB of data over 6 GB = Bill received by the customer - Monthly charge for 6 GB of data = $148.50 - $67.95 = $80.55

Additional GB of data over 6 GB = Total amount paid for additional GB of data over 6 GB / Additional charge for each additional GB of data over 6 GB = $80.55 / $8.95 = 9 GB

Total data customer send and receive during the month = 6 GB + Additional GB of data over 6 GB = 6 GB + 9 GB = 15 GB

Therefore, the customer send and receive 15 GB of data during the month.

Answer:

              cvfgrtyukjmn

Step-by-step explanation:

Answer:

Length = 16 or -5 feet.

Width = 5 or -16 feet.

Step-by-step explanation:

Let the length of the concrete pad = l

Let the width of the concrete pad = w

Given the following data;

Area of concrete pad, a = 80ft²

Translating the word problem into an algebraic equation, we have;

[tex] l = 11 + w[/tex]

We know that, the area of rectangle, A = length * width

[tex] A = l*w[/tex]

Substituting the values into the equation, we have;

[tex] 80 = (11 + w)w[/tex]

Expanding the bracket, we have;

[tex] 80 = 11w + w^{2}[/tex]

[tex] w^{2} + 11w - 80 = 0[/tex]

*Solving the quadratic equation by using factorization method*

[tex] w^{2} + 16w - 5w - 80 = 0[/tex]

[tex] w(w + 16) - 5(w + 16) = 0[/tex]

[tex] (w - 5)(w + 16) = 0 [/tex]

Width, w = 5 feet or w = -16 feet.

Therefore, the width of the concrete pad is 5 feet or -16 feet.

To find its length, l;

[tex] l = 11 + w[/tex]

When w = 5 feet

[tex] l = 11 + 5[/tex]

Length, l = 16 feet

When w = - 16 feet

[tex] l = 11 + (-16)[/tex]

[tex] l = 11 - 16[/tex]

Length, l = -5 feet.

Hence, the dimensions of the concrete pad is 16 by 5 feet or -5 by -16 feet.

Answer:

f{3x}=6x-5

Step-by-step explanation:

There isn't really much to do: if you perform the division between function you get a new function:

[tex]h(x)=\dfrac{g(x)}{f(x)}=\dfrac{3x}{2x-5}[/tex]

Answer:

7. x=9, y=7 The first number is 9, and the second number will be 7.

8. h= $2.25 c= $1.19 The cost of each hotdog is $2.25, and the cost of each bag of chips is $1.19.

Step-by-step explanation:

7. First lets define the variables: x=first number; y=the second number

Now we set up a system of equations:

Eq. 1. 2x+y=25  Eq. 2. 3x-y=20

Now we solve (I'm going to use subsitution you can use wtv you are comfortable with)

1. 2x+y=25      1. y=25-2x

Subsitute.

2. 3x-y=20       2. 3x- (25-2x)=20

Simplify.

3x-25+2x=20        5x-25=20          5x=45      x=9

Now solve for y by subsituting x into one of the equations.

1. 2x+y=25      2(9)+y=25       18+y=25      y= 7

The first number is 9, and the second number will be 7.

8. Define the variables.

h= cost of a hotdog; c=cost of a bag of chips

System of Equations:

Eq. 1. 5h+3c=14.82 Eq. 2. 7h+6c=22.89

Now solve.

1. 5h+3c=14.82  2. 7h+6c=22.89

Using subsitution...

h=2.25 c=1.19

The cost of each hotdog is $2.25, and the cost of each bag of chips is $1.19.

Answer:

The boiling point of the liquid it 210.25°F

Step-by-step explanation:

Linear Modeling

Some real-life events can be modeled as linear functions. If we are in a situation where a linear model is suitable, then we need two sample points to build the model and predict unknown behaviors.

The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

[tex]\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

We are given the following points (H,A) where A is the altitude and P is the boiling point of a certain liquid: (8200,199.42) and (4700,206.07)

Applying the formula:

[tex]\displaystyle B-199.42=\frac{206.07-199.42}{4700-8200}(A-8200)[/tex]

Calculating:

[tex]\displaystyle B-199.42=\frac{6.65}{-3500}(A-8200)[/tex]

[tex]\displaystyle B-199.42=-0.0019(A-8200)[/tex]

[tex]\displaystyle B-199.42=-0.0019A+15.58[/tex]

[tex]\displaystyle B=-0.0019A+15.58+199.42[/tex]

The equation is:

[tex]\displaystyle B=-0.0019A+215[/tex]

Finally, we calculate the boiling point at A=2500 ft:

\displaystyle B=-0.0019*2500+215

B = 210.25°F

The boiling point of the liquid it 210.25°F

Answer:

n = 13

Step-by-step explanation:

[tex]a_{n}[/tex] = [tex]a_{1}[/tex] + (n - 1)d

[tex]a_{n}[/tex] = 3 + 7(n - 1) (for the first AP)

[tex]a_{n}[/tex] = 63 + 2(n - 1) ( for the second one)

3 + 7(n - 1) = 63 + 2(n - 1)

3 + 7n - 7 = 63 + 2n - 2

5n = 65

n = 13

Answer:

n = 13

Step-by-step explanation:

AP = 2, 10, 17 ...

AP1  = 63,65, 67

Find the general term of AP

L = a + (n - 1)*d

a = 2

d = 7

Find the general term of AP1

L = 63 + (n - 1)*d

a  = 63

d = 2

Equation to equate both of them

L = 3 + (n-1)7

L1 = 63 + (n - 1)*2

Equate L and L1

2 + (n - 1)*7= 63 + (n-1)*2           Subtract 3 from both sides

(n - 1)*7 = 63 - 3 + (n - 1)*2         Remove the brackets

7n - 7 = 60 + 2n - 2                   Combine the like terms on the right

7n -  7 = 58 + 2n                        Subtract 2n from both sides

7n - 2n -7 = 58                          Add 7 to both sides

5n = 58 +7                                Divide by 5

n =   65/5

n = 13

So the 13th term on each series is equal.

L_13 = 3 + (13 - 1)*7

L_13 = 3 + (12)*7

L_13 = 87

=====================

L'_13 = 63 + (13 -1 ) * 2

L'_13 = 63 + 12*2

L'_13 = 87

Answer: a I think

Step-by-step explanation:

9514 1404 393

Answer:

  (c)  0.275x-955000

Step-by-step explanation:

The amount exceeding 12,000,000 can be described by ...

  x - 12,000,000

Then 27.5% of that is ...

  0.275(x -12,000,000) = 0.275x -3,300,000

Adding 2,345,000 to that gives the expression ...

  2,345,000 +(0.275x -3,300,000) = 0.275x -955,000

Answer:

i think it's C.

Step-by-step explanation:

i really hope I'm right :/

Answer:

The percentage of assisted living residents had only depression

P(D) =0.32

Step-by-step explanation:

Explanation:-

Given  the percentage of assisted living residents who had both heart disease and depression was 9%

Let The event 'H' be the event of heart disease and 'D' be the event of depression

P(H ∩D) = 9% =0.09

The  percentage with only heart disease was 25%

P(H) = 0.25

The percentage with either condition was 48%.

P(H∪D) = 48%=0.48

By addition theorem on probability

       [tex]P(H UD) = P(H) +P(D) - P(H n D)[/tex]

              [tex]0.48 = 0.25 + P(D) -0.09[/tex]

            P(D) = 0.48 -0.16

            P(D) = 0.32  

The percentage of assisted living residents had only depression

P(D) =0.32