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The coordinates of the other endpoint, K is (-6, 31)

Given that, the midpoint of JK is point L at (–1, 8). One endpoint is J(4, –15).

A midpoint of a line segment is the point on a segment that bisects the segment into two congruent segments.

We know that, the formula to find the midpoint of line segment is (x, y) = [(x1+x2)/2, (y1+y2)/2].

Let the coordinates of the other endpoint be (x, y)

Now, (-1, 8) = [(4+x)/2, (-15+y)/2]

-1 = (4+x)/2 and 8 = (-15+y)/2

⇒ -2=4+x and 16= -15+y

⇒ x=-6 and y=31

Therefore, the coordinates of the other endpoint, K is (-6, 31)

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Answer:

Step-by-step explanation:

In each case, you can use the given formula to find the surface area. The area of the triangular base (B) is ...

  A = 1/2bh

where b is the base of the triangle, and h is the height of the triangle perpendicular to that base.

You will notice that B is multiplied by 2 in the area formula, because there is a triangular base at either end of the prism. That means we can save some work by not multiplying by 1/2, and then by 2.

__

For figures 1, 3, 4, the triangle is a right triangle, so the base and height make up two of the three sides of it. The perimeter is finished by adding the length of the hypotenuse. That sum is then multiplied by the "height" of the prism (distance between bases) to find the lateral area as part of the area formula (Ph).

In figure 3, the triangle is equilateral, so the perimeter is not the sum of the base and height and a third side. In the attached spreadsheet, we have used a value "rest of perimeter" to make the sum be the right value for use in computing the value of Ph. For figure 3, that is 6+6-5.2=6.8. Then the sum 6 +5.2 +6.8 is 18, the proper perimeter for that figure.

__

The idea here is to let a spreadsheet do the tedious work of applying the same formula to different sets of numbers. The areas are ...

__

By way of example, we can "show work" for problem 1:

1. S = Ph +2B

  S = (4 +3 +5)(8) +2(1/2)(4)(3) = 12(8) +12 = 96 +12 = 108 . . . cm^2

The number of phone calls she should expect after a week = 35

For given question,

We have given an equation,  y = 30(0.92) + d

where y is the number of phone calls after d days.

We need to find the number of phone calls she should expect after a week.

We know that, 1 week = 7 days

So,  the number of phone calls would be,

⇒ y = 30(0.92) + d

⇒ y = 30(0.92) + 7

⇒ y = 34.6

⇒ y ≈ 35

So, guest may receive 35 phone calls

Therefore, the number of phone calls she should expect after a week = 35

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Answer:

1 positive solution (and 1 negative)

the greatest solution is about 2.87

Step-by-step explanation:

so, it is

x² + 2x + 7 = 21

x² + 2x - 14 = 0

the general solution to such a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = 2

c = -14

x = (-2 ± sqrt(2² - 4×1×-14))/(2×1) =

= (-2 ± sqrt(4 + 56))/2 = (-2 ± sqrt(60))/2 =

= (-2 ± sqrt(4×15))/2 = (-2 ± 2×sqrt(15))/2 =

= -1 ± sqrt(15)

x1 = -1 + sqrt(15) = 2.872983346... ≈ 2.87

x2 = -1 - sqrt(15) = -4.872983346...

Answer:

average temperatures on mars, then you get the hottest temperatures...

Step-by-step explanation:

Answer:

It will take 3.65 seconds at the rate it's being poured.

Step-by-step explanation:

The calculations below show that Z-score of 10 is –1.25; Z-score of 20 is 1.25; Z-score of 12 is –0.75; Z-score of 17 is 0.50; and Z-score of 16 is 0.25.

The following notations and formulas will be used in these calculations:

Mean = (sum of the values) / n

Variance = ((Σ(x - mean)^2) / (n - 1)

SD = Standard deviation = Variance^0.5

Z-score = (x - Mean) / SD

Where;

n = number of values = 5

x = each value

Therefore, we have:

Mean = (10 + 20 + 12 + 17 + 16) / 5 = 15

Variance = ((10-15)^2 + (20-15)^2 + (12-15)^2 + (17-15)^2 + (16-15)^2) / (5-1) = 64 / 4 = 16

SD = Standard deviation = Variance^0.50 = 16^0.5 = 4

Z-score of 10 = (10 – 15) / 4 = –1.25

Z-score of 20 = (20 - 15) / 4 = 1.25

Z-score of 12 = (12 - 15) / 4 = –0.75

Z-score of 17 = (17 - 15) / 4 = 0.50

Z-score of 16 = (16 - 15) / 4 = 0.25

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Answer:

4th Graph

Step-by-step explanation:

Step 1: Find (f + g)(x)

-x² + 3x + 5 + x² + 2x

3x + 5 + 2x

5x + 5

Step 2: Graph

Answer:

option d on edge trash

Step-by-step explanation:

The advantage of using the work sampling approach during a training needs assessment is that the assessor : sees the work actually being done , the correct option is (d) .

In the question ,

it is asked about the advantage of using the work sampling approach during the training .

we know that Assessing need special skills and experience to be competent.

Generally,  evaluators or assessors need to  have interpersonal skills and  communicates effectively with students.

So , During the training if the work sampling approach is used then assessor will see the work actually being done before hand .

Therefore , the advantage is that the will see the work actually being done .

The given question is incomplete , the complete question is

The advantage of using the work sampling approach during a training needs assessment is that the assessor:

(a) sees the results of each person doing the work

(b) does not get heavily involved with any job

(c) actually does each job

(d) sees the work actually being done

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Answer:

Yes, Mae Ling would make $637 in a work week if she sold $4800.

Step-by-step explanation:

We know that Mae Ling earns $325 per week plus sales commissions of 6.5%, if we express this would be:

\(Earnings = $325+0,065x\)

Where  refer to sales. Also 0.065 is the decimal expression of 6.5%.

Now, we just need to replace the amount sold and calculate her weekly earnings:

\(Earnings = $325+0,065($4800)= $637\)

Therefore, Mae Ling would make $637 in a work week if she sold $4800.

Answer:

d seems like the only one that would be correct

Step-by-step explanation:

lmk if this is wrong

We consider 4 pigs for comparison of the smartest animal in Animal farm in which Snowball would be the smartest.

There are several pigs running for the title of the farm's brightest animal. The choice of pigs actually relies on how one defines "smart."

It is demonstrated that pigs are smarter than other animals: "With their superior understanding it was obvious that they should assume the leadership" (p. 16). The pigs avoid hard labour by taking over the management of the farm. This is not perceived as sinister at this point in the book.

We consider 4 pigs for comparison of the smartest animal in Animal farm

Squealer, Old Major, Napoleon, Snowball.

I think Snowball would have the greatest IQ of these four pigs, and Napoleon would have the lowest if one were to try to rate their level of intelligence using a technique like an IQ test. On the other hand, if "smartness" were determined by actual success, Napoleon would come out on top and Snowball would come in last.

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Answer:

80 degrees

Step-by-step explanation:

The sum of the interior angles of any quadrilateral is 360 degrees. Adding up the known measures gives you 95 + 123 + 62 = 280. Then you can subtract that from 360. 360 - 280 = 80. So x has to be 80 degrees.

Mr. Adams divides 183 markers equally among the 24 students in his class. To find the least number of extra markers in the box, divide the total markers (183) by the number of students (24). The result is 7 with a remainder of 15. So, the least number of extra markers in the box is 15.

Mr. Adams divides 183 markers equally among the 24 students in his class, which means each student gets 7 markers. However, since 7 does not divide evenly into 183, there will be some markers left over. To determine the least number of extra markers in a box, we need to find the remainder when 183 is divided by 24.
Using long division, we get:

   24 | 183
       -----
         7  6
         -----          
This means that there are 6 markers left over that Mr. Adams puts in a box. Therefore, the least number of extra markers in a box is 6.
Mr. Adams divides 183 markers equally among the 24 students in his class. To find the least number of extra markers in the box, divide the total markers (183) by the number of students (24). The result is 7 with a remainder of 15. So, the least number of extra markers in the box is 15.

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Answer:

86

Step-by-step explanation:

This is because the angles should add up to 180. So 32 + 64 is 96. Then you subtract 96 from 180 to get 86.

(a) Total number of trips = 270

(b) There are 33 different visits that could make.

We have the information:

There are 18 major sea islands in the queen Elizabeth islands of Canada. There are 15 major lakes in Saskatchewan, Canada.

Let us say that A indicates the major sea Islands and B indicates the major lakes.

Taking both the cases as events, we will use multiplication principle.

Based on the information, the event A occurs in m ways and the event B will occur in n ways. So, the two events will occur in m×n ways.

(a) A × B = 18 × 15

Total number of trips = 270

(b) |A| = 18

|B| = 15

A ∩B = θ         (as we cannot visit both an island and lake)

Addition Principle: There are |A| + |B| ways to choose an element form

A ∪ B , when A and B are the finite sets with A ∩B = θ

|A ∪ B| = |A| + |B| = 18 + 15 = 33

Thus, There are 33 different visits that could make.

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Answer:

63 Full loads of laundry

Step-by-step explanation:

We have been told in the question that  1 3/5 oz or 8/5 oz of detergent is used for a full load of laundry.

So,

1 full load of laundry requires 8/5 oz of detergent

Then,

x full loads of laundry require 100 oz of detergent

100 = 8/5x

x = 100 * 5/8

x = 63 Full loads of laundry (to the nearest whole number)

Answer:

the answer is $6

Step-by-step explanation:

This is because there are 1000g in 1kg, so 500g is half of that and half of 12 is 6.

Problem 11

---------------

Work Shown:

The surface area of a 3D sphere is 4pi*r^2. So a hemisphere has surface area 2pi*r^2 since we cut the surface area in half.

Plug in r = 6 (half of the diameter 12) and we get 2pi*r^2 = 2pi*6^2 = 72pi

Now consider the circle with radius r = 6. Its area is pi*r^2 = pi*6^2 = 36pi

Add the two areas and we get 72pi+36pi = 108pi

Lastly, use your calculator to get 108pi = 108*3.1415926535898 = 339.292006587699 which rounds to 339

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

Problem 12

---------------

Explanation:

Look at where the "0" in the bottom sliding portion lines up with the number scale above. That "0" is between 19 and 20 mm. So you could argue that 19.2 and 19.5 are both valid answers, but I think 19.5 is the better answer since the tickmark seems to be right in the middle (more or less).

Step-by-step explanation:

surface area of hemisphere =3πr²

=3*3.14(6)²

=339.12m²

diameter of pipe= 19.5mm

Answer:

question 11 is d   and question 12 is g   hope it helps

Step-by-step explanation:

subtract 24.65from 75              

add both fractions

The solution to the compound inequality is (-∞, -3] or (-2, ∞)which means x can take any value less than or equal to -3 or any value greater than -2.

To find the solution to the compound inequality 4(x + 1) > -4 or 2x - 4 ≤ -10, we need to solve each inequality separately and then combine the solutions.
1. Solve the first inequality, 4(x + 1) > -4:
  - First, distribute the 4 to the terms inside the parentheses: 4x + 4 > -4.
  - Next, isolate the variable by subtracting 4 from both sides: 4x > -8.
  - Divide both sides by 4 to solve for x: x > -2.
2. Solve the second inequality, 2x - 4 ≤ -10:
  - Add 4 to both sides: 2x ≤ -6.
  - Divide both sides by 2 to solve for x: x ≤ -3.

Now, we combine the solutions:
  - The solution to the first inequality is x > -2, which means x is greater than -2.
  - The solution to the second inequality is x ≤ -3, which means x is less than or equal to -3.
In interval notation, we represent these solutions as (-∞, -3] ∪ (-2, ∞).

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Solving for t,

Answer:

SSS

Step-by-step explanation:

BOTH THE TRIANGLES HAVETHE SAME MARKING ON EACH SIDE

THESE MARKING REPRESENT THE LENGTH OF THE SIDE

Answer:

SSS

Step-by-step explanation:

We will have the following:

Answer:

Step-by-step explanation:

24+3y=56 solve for y, subtract 24 from each side

3y=32 divide each side by 3

y=32/3

Answer:

y=32/3

Step-by-step explanation:

let the number be y, then

24+3y=56 solve for y, subtract 24 from each side

3y=32 divide each side by 3

y=32/3

The markup rate of 35% means that the retailer wants to add 35% of the cost to the selling price in order to make a profit.

First, let's calculate the markup amount:

Markup = 35% * $2.27 = $0.7955

Next, let's calculate the selling price:

Selling price = Cost + Markup = $2.27 + $0.7955 = $3.07

Therefore, the selling price of the toy is $3.07.

The probability that the sample proportion is between 0.2 and 0.42 can be calculated using the standard normal distribution.

To calculate the probability, we need to assume that the sample proportion follows a normal distribution. This assumption holds true when the sample size is sufficiently large and the conditions for the central limit theorem are met.

First, we need to calculate the standard error of the sample proportion. The standard error is the standard deviation of the sampling distribution of the sample proportion and is given by the formula sqrt(p(1-p)/n), where p is the estimated proportion and n is the sample size.

Next, we convert the sample proportion range into z-scores using the formula z = (x - p) / SE, where x is the given proportion and SE is the standard error. In this case, we use z-scores of 0.2 and 0.42.

Once we have the z-scores, we can use a standard normal distribution table or a statistical software to find the corresponding probabilities. The probability of the sample proportion falling between 0.2 and 0.42 is equal to the difference between the two calculated probabilities.

Alternatively, we can use the z-table to find the individual probabilities and subtract them. The z-table provides the cumulative probabilities up to a certain z-score. By subtracting the lower probability from the higher probability, we can find the desired probability.

In conclusion, the probability that the sample proportion is between 0.2 and 0.42 can be calculated using the standard normal distribution and z-scores. This probability represents the likelihood of observing a sample proportion within the specified range.

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Answer:

7,569

Step-by-step explanation:

\((87)^{2} \\ = {(90 - 3)}^{2} \\ = {90}^{2} - 2 \times 90 \times 3 + {3}^{2} \\ = 8100 - 540 + 9 \\ = 8100 + 9 - 540 \\ = 8109 - 540 \\ = 7,569\)

Answer:

125

Step-by-step explanation:

125x5=625

125x8=1000