Simplify the expression and write your answer as a power

Step by step explanation :

The two points are ,

We can find the midpoint by finding the median of x coordinate and y coordinate .

[tex]\tt\to Midpoint = \bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)\\\\\tt\to Midpoint =\bigg(\dfrac{-3+1}{2},\dfrac{-5-3}{2}\bigg)\\\\\tt\to Midpoint = \bigg( \dfrac{-2}{2},\dfrac{-8}{2}\bigg) \\\\\sf\to\boxed{\orange{\tt Midpoint = (-1,-4)}}[/tex]

Answer:

A

Hope that helps!

Step-by-step explanation:

Answer:

7 2/5 cups

Step-by-step explanation:

4 x 9 = 36

36/5 = 7.2

Answer:

638 in week

Step-by-step explanation:

4100×0,08=328

328+310=638

Answer:

1

Step-by-step explanation:

any thing times 1 is 1

Answer:

The total work done in pulling the bucket to the top of the well is approximately 3,139.1 ft·lb

Step-by-step explanation:

The given parameters are;

The mass of the bucket, W = 3.6 pounds

The depth of the well, h = 78 feet deep

The mass of water in the bucket = 38 ponds

The rate at which the water is pulled up = 2.9 feet per second

The rate at which water is leaking from the bucket, [tex]\dot m[/tex] = 0.1 pounds per second

We separate and find the work done for lifting the bucket and the water individually, then we add the answers to get the solution to the question as follows;

The work done in lifting bucket empty from the well bottom, [tex]W_b[/tex] = W × h

∴  [tex]W_b[/tex] = 3.6 pounds × 78 feet = 280.8 ft-lb

The work done in lifting bucket empty from the well bottom, [tex]W_b[/tex] = 280.8 ft-lb

The time it takes to lift the bucket from the well bottom to the top, 't', is given as follows;

Time, t = Distance/Velocity

The time it takes to pull the bucket from the well bottom is therefore;

t = 78 ft./(2.9 ft./s) ≈ 26.897

The time it takes to pull the bucket from the well bottom to the top, t ≈ 26.897 s

The mass of water that leaks out from the bucket before it gets to the top, m₂, is therefore;

m₂ = [tex]\dot m[/tex] × t

∴ m₂ = 0.1 lbs/s × 26.897 s = 2.6897

The mass of the water that leaks, m₂ = 2.6897 lbs

The mass of water that gets to the surface m₃ = m - m₂

∴ m₃ = 38 lbs  - 2.6897 lbs ≈ 35.3103 lbs

Given that the water leaks at a constant rate the equation representing the mass of the water as it is lifted can b represented by a straight line with slope, 'm' given as follows;

The slope of the linear equation m = (38 lbs - 35.3103 lbs)/(78 ft. - 0 ft.) = 0.03448[tex]\overline 3[/tex] lbs/ft.

Therefore, the equation for the weight of the water 'w' can be expressed as follows;

w = 0.03448[tex]\overline 3[/tex]·y + c

At the top of the well, y = 0 and w = 38

∴ 35.3103 = 0..03448[tex]\overline 3[/tex] × 0 + c

c = 35.3103

∴ w = 0.03448[tex]\overline 3[/tex]·y + 35.3103

The work done in lifting the water through a small distance, dy is given as follows;

(0.03448[tex]\overline 3[/tex]·y + 38) × dy

The work done in lifting the water from the bottom to the top of the well, [tex]W_{water}[/tex], is given as follows;

[tex]W_{water} = \int\limits^{78}_0 {0.03448\overline 3 \cdot y + 35.3103 } \, dy[/tex]

[tex]\therefore W_{water} = \left [ {\dfrac{0.03448\overline 3 \cdot y^2}{2} + 35.3103 \cdot y\right ]^{78}_0[/tex]

[tex]W_{water}[/tex] = (0.034483/2 × 78^2 + 35.3103 × 78) - (0.034483 × 0 + 38 × 0)  ≈ 2,859.1

The work done in lifting only the water, [tex]W_{water}[/tex] ≈ 2,859.1 ft-lb

The total work done, in pulling the bucket to the top of the well, W = [tex]W_b[/tex] + [tex]W_{water}[/tex]

∴ W = 2,859.1 ft.·lb + 280.8 ft.·lb ≈ 3,139.1 ft·lb

The total work done, in pulling the bucket to the top of the well, W ≈ 3,139.1 ft·lb.

Answer:

0.3913 = 39.13% probability that the student did not attend class regularly given that (s)he did not receive an above average grade

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

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

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Did not receive an above average grade.

Event B: Did not attend class regularly.

Probability of an student not receiving an above average grade:

100 - 40 = 60% of 70%(attend class regularly).

100 - 10 = 90% of 100 - 70 = 30%(do not attend class regularly).

So

[tex]P(A) = 0.6*0.7 + 0.9*0.3 = 0.69[/tex]

Did not receive an above average grade and did not attend class regularly:

90% of 30%. So

[tex]P(A \cap B) = 0.9*0.3 = 0.27[/tex]

Find the probability that the student did not attend class regularly given that (s)he did not receive an above average grade

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.27}{0.69} = 0.3913[/tex]

0.3913 = 39.13% probability that the student did not attend class regularly given that (s)he did not receive an above average grade

Step-by-step explanation:

the the number on the top corner is adding zeros so 6.3 / 10/3 the answer is for that 6.30

Answer:

10 cups

Step-by-step explanation:

Answer:

10 cups

Step-by-step explanation:

10 × 2 = 20

20÷2= 10

Reverse the numbers in the table to get:

(52,20) (67.5,25) and (64,30)

The answer would be (52,20)

The ordered pair can be expected will be (52, 20). Then the correct option is B.

Let the function f is given as

y = m(x + a) + c

Then the inverse function of the function f will be given by swapping x with y and y with x.

The cost table shows the average cost, a(x), of producing x number of earbuds. When verifying that a function represented in another table is the inverse of the given cost function.

(2, 20), (a(x), 52), (25, 30), (67.5, 84)

The ordered pair of the inverse function is given as,

(20, 2), (52, a(x)), (30, 25), (84, 67.5)

The ordered pair can be expected will be (52, 20). Then the correct option is B.

More about the inverse function is given below.

https://brainly.com/question/2541698

#SPJ6

Answer:

Divide the number of students who participate in the after school program by the number of students in the sample. Multiply by 100 to find the percentage.

Step-by-step explanation:

Use the random sample to make an inference about the sample and population.

Answer:

The radius is 12.

Step-by-step explanation:

You're given the center and a point on the circle. The point and the center both have an x-coordinate of -5, so there is no horizontal distance between them. The distance is only in the vertical direction. The distance from 8 to -4 is 12. Since this is the distance from the center to a point on the circle, this equals the radius.

Answer:

proved

Step-by-step explanation:

hope it helped!!!

Answer:

[tex] 18,432\pi \: {in}^{3} [/tex]

Step-by-step explanation:

Base diameter of cylinder = 48 in

So, base radius (r) = 48/2 = 24 in

Height of oil filled in the can (h) = 32 in

Volume of portion of the can that is filled with oil

[tex] = \pi {r}^{2} h \\ \\ = \pi \times (24)^{2} (32) \\ \\ =18,432\pi \: {in}^{3} [/tex]

Answer:

$80.24

Step-by-step explanation:

Answer:

A. 2x + 5(2x + 6) = 12x + 30

Step-by-step explanation:

Infinitely many solutions means the two sides of the equation will be equal to each other, so B and D can be eliminated. Distribute for A and C to check

A. 2x + 5(2x + 6) = 12x + 30

    2x + 10x + 30 = 12x + 30

    12x + 30 = 12x + 30

C. 2(x + 5) + 2 = 6x + 2(x + 2)

    2x + 10 + 2 = 6x +2x + 4

     2x + 12 = 8x + 4

You only get the same equation for A, therefore A is the correct answer

Answer: 54

Step-by-step explanation:

Answer:

The answer is "0.898"

Step-by-step explanation:

Using the command in any cell that is" =CORREL(I5:I14, J5:J14)" throughout the I5:I14 its value is the creativity scores that is the J5:J14 which is the value of the performance of the score, that gets the correlation coefficient that is equal to 0.897886. Hence, the correlation of the coefficient = 0.898

mary is the 4th childs nam,e

Answer:

area of shaded region =(6×4)²-4(π6²)=123.61in²

Answer:

area of shaded region (6x4)²-4(6²)=123.61in²

s

Answer:

x=5

Step-by-step explanation:

The pythagorean theorem stats a^2+b^2=c^2. We are already given the values of the two legs of the triangle so we need to solve for the length of the hypotenuse (the longest part of the triangle). To do so, you put in 3 and 4 as a and b so you get 3^2+4^2=c^2. After squaring both numbers you get 16+9=c^2. Then you add 16 and 9 to get 25=c^2. To get rid of the power of 2, we square root both sides to get rid of the exponent. Since 25 is a perfect square, you get c=5 which means that the x value eqals 5.

Answer:

442

Step-by-step explanation:

624-183= 442 he needs to drive 442 miles more

Answer:

vertical angles is the answer

Answer: 128

Step-by-step explanation:

day 1: 1

day 2: 2

day 3: 4

day 4: 8

day 5: 16

day 6: 32

day 7: 64

day 8: 128

ALSO.

you can solve it by doing 2 to the power of 8

2^8 is the expression

Mr. Reed DATA:

rate = 40 mph ; time = x 4.5 hrs ; distance = 40x miles

-----

Mrs. Reed DATA:

rate = 60 mph ; time = x hrs ; distance = 60x - 210 miles

------

Equation:

40x = 60x -210

-20x = -210

x = 10.5 hrs

x-3.5 = 7 hrs (Mr. Reed's time)

Answer:

Step-by-step explanation:

= 4 + (-2)/ -3 + 3

= 4 - 2/ -3 + 3

= 2/0 If the denominator is 0, the value is undefined.

Answer:

2/0, which would be undefined.

Step-by-step explanation:

Answer:

Thanksgiving, median = 17

New year's eve, median = 8

Thanksgiving, IQR = 12

New year's eve, IQR = 10

THANKSGIVING has greater variability

Step-by-step explanation:

The median value of a box plot is the line which lies in the middle of the box :

From the plot, the best estimate :

Thanksgiving, median = 17

New year's eve, median = 8

THE Interquartile range, IQR is the difference between the upper quartile and lower quartile values, Q3 - Q1 ;

Lower quartile = the starting point of the box

Upper quartile = the endpoint of the box

From the plot ; Best estimate :

Thanksgiving :

Q1 = 12 ; Q3 = 24

IQR = Q3 - Q1 = 24 - 12 = 12

New year's eve :

Q1 = 5 ; Q3 = 15

IQR = Q3 - Q1 = 15 - 5 = 10

Thanksgiving :

Range = Maximum - Minimum

Range = (29 - 5) = 24

New year's eve:

Range = Maximum - Minimum

Range = 22 - 3 = 19

Hence, Thanksgiving has greater variability