PLEASE HELP worth 50 point !!!!!!!

The x coordinates are 3 and -5. They add to 3+(-5) = -2

Cut this in half to get -2/2 = -1

The x coordinate of the midpoint is x = -1

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The y coordinates are 2 and 5. They add to 2+5 = 7.

Then we cut this in half to get 7/2 = 3.5

The y coordinate of the midpoint is y = 3.5

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Overall, the midpoint is (-1, 3.5)

Answer:

Let me give you an example of a segment addition problem that uses three points that asks the student to solve for x but has a solution x = 20.

First, I assumed values for each x, y and z and then manipulated their coefficients to get the total at the end of each equation.

20 + 10 +30 = 60

40 + 0 + 40 = 80

40 + 10 = 50

Then exchangeing these numbers into values and we have the following equation.

x + 2y + 3z = 60

2x + 4z = 80

2x + z = 50

If you will solve them manually by substituting their variables into these equations, you can get

x = 20

y = 5

z = 10

Step-by-step explanation:

The possible outcomes in the sample space of this experiment are

{(h,1),,(h,2),(h,3),(h,4),(h,5),(h,6),(t,1),(t,2),(t,3),(t,4),(t,5),(t,6)}

Jo flips a coin sample space for a coin = {h, t}

and rolls a 6-sided die sample space for a die = {1,2,3,4,5,6}

at a time coin is tossed and the die is rolled

the possible outcomes in the sample space of this experiment are

{(h,1),,(h,2),(h,3),(h,4),(h,5),(h,6),(t,1),(t,2),(t,3),(t,4),(t,5),(t,6)}

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Answer:

the blue one but not sure

Answer:

the third one i think

Step-by-step explanation:

Answer:

only if the denominator(the number you're going to divide it with) is negative for example : 5÷-3. Note : it only works in division!!!!!!!!!

Answer:

it would be a negative

Step-by-step explanation:

(+-) cancels itself out to be 0 and (-) is negative so adding a negative to 0 will give you a negative. Hope this helps (:

Answer:

let us consider x for both +,-

Step-by-step explanation:

(+x-x)+(-x)

0-x

-x

so the answer should be in negative

Answer:

a = 2b - z

Step-by-step explanation:

2(z+a) = 4b

z + a = 4b/2

z + a = 2b

a = 2b - z

The surface area of a cone is given by the formula:

S = πl + πr^2

Solving for l, we can start by isolating l on one side of the equation:

S - πr^2 = πl

Dividing both sides by π:

(S - πr^2) / π = l

Therefore, the length l can be found by subtracting the product of π and r^2 from the surface area S, and dividing the result by π.

Answer:

Solve for x: x=1/3y+1

Solve for Y: Y=3x-3

Step-by-step explanation:

The log 8(1) = 0Let x = log4(x) Evaluate (1024)We know that the logarithm of a number in a given base is the power to which the base must be raised to get the number.

For example, if the base is 2, then log2(8) = 3 because 23 = 8.

Using this definition, we can justify the statement log8(1) = 0 as follows:log8(1) = 0 because 80 = 1. This means that the power to which 8 must be raised to get 1 is 0.

Therefore, log8(1) = 0.Next, we have:x = log4(x) This means that 4 to the power of x equals x. We can solve for x as follows:4x = x4x - x = 0x(4 - 1) = 0x = 0 or x = 1Plugging in x = 1, we get:log4(1) = 1

This is true because 41 = 1. Finally, we can evaluate (1024) as follows:(1024) = (210)10 = 210·10 = 210+1 = 211This is true because 210 is the base-2 logarithm of 1024. Therefore, (1024) = 211.

Now, we need to write a mathematical equation to justify the statement ln(17) ≈ 2.832. To do this, we need to know the definition of the natural logarithm function, denoted as ln(x).

The natural logarithm of a positive number x is the logarithm of x in the base e, where e is a mathematical constant approximately equal to 2.71828. Therefore, we have ln(17) ≈ 2.832 because e2.832 ≈ 17.

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(a) The number of ways that the event can occur is 6.

(b) Probabilities are :

1) 1/2, 2) 1/6 and 3) 1/3.

(a) Given a bag of different shapes.

Total number of shapes = 6

So, if we select one shape from random,

total number of ways that the event can occur = 6

(b) Number of squares in the bag = 3

Probability of choosing a square = 3/6 = 1/2

Number of circles in the bag = 1

Probability of choosing a circle = 1/6

Number of stars in the bag = 2

Probability of choosing a star = 2/6 = 1/3

Hence the required probabilities are found.

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Answer:

6677766666

Step-by-step explanation:

5tettrhfhyyf was a good relationship is a different person and then use it for the same thing to do in the same thing as possible but you should not be afraid of the person is not a bad person than the other person than the difference between the difference and what you want and you know it would

Using Heron's formula, the area of the porch is 294 squared feet

To calculate the area of the porch, we need to use Heron's formula which is given as;

Heron's formula is a mathematical formula used to calculate the area of a triangle when the lengths of all three sides are known. It is named after the ancient Greek mathematician Heron of Alexandria. The formula is:

Area = sqrt(s(s-a)(s-b)(s-c)),

where s is the semi-perimeter of the triangle (s = (a+b+c)/2) and a, b, and c are the lengths of the three sides.

Substituting the values into the formula;

s = (21 + 28 + 35) / 2

s = 84 / 2

s = 42

Using the value of s

A = √42(42 - 21)(42 - 28)(42 - 35)

A= 294

The area is 294 ft²

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Answer:

5. -2 > x

6. 4 \(\leq\) x

7. 0 \(\geq\) x

8. -3 < x

Step-by-step explanation:

Answer:

Step-by-step explanation:

Width = w

triple the width = 3*w = 3w

Length = 7 yards longer than triple the width = 3w + 7

Perimeter = 438 yards

2*(length +width) = 438

2*(3w+ 7 + w) = 438       {Combine like terms}

2 * (4w + 7)     = 438

     2*4w +2*7 = 438       {Use distributive property}

         8w + 14 = 438          {Subtract 14 from both side}

                  8w = 438 - 14

                  8w = 424          {Divide both sides by 8}

                    w = 424/8

                     w = 53 yards

Length = 3*53 +7 = 159 + 7 = 166 yards

Width = 53 yards

Length = 166 yards

Answer:

\({ \tt{27 = {3}^{3} }} \\ { \tt{}} \sqrt[4]{27} = {27}^{ \frac{1}{4} } \\ { \tt{ = {3}^{3( \frac{1}{4}) } }} \\ = { \tt{ {3}^{ \frac{3}{4} } }} \\ { \boxed{ \bf{a = 3 \: \: and \: \: k = \frac{3}{4} }}}\)

The number is given by the equation A = 18

Numbers that divide an original number evenly or precisely are known as its factors. A factor is a whole number that can divide a larger number in two equal parts. A factor is a number that divides another number, leaving no remainder

Given data ,

Let the inequality be represented as A

Now , the value of A is

15 < A < 20   be equation (1)

The number lies between 15 and 20

when A = 18

The factors of 18 = 1 , 2 , 3 , 6 , 9 , 18

So , the number 18 has the prime factors as 2 and 3

Hence , the number is A = 18

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The correct option is the fourth one, the slope and y-intercept are different.

Here we have the linear equation:

3x - 5y = 4

We know that it is dilated by a scale factor of 5/3, so let's find the dilation.

We can rewrite the linear equation as:

-5y = 4 - 3x

y =  (3/5)x - 4/5

Now let's apply the dilation:

y = (5/3)*[ (3/5)x - 4/5]

y = x - 4/3

Then we can see that the slope and the y-intercept are different, the correct option is 4.

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Answer:

Step-by-step explanation:

Hope this helps u!!!

Answer:  (0,3) in the top right corner

There is only one solution to this system of equations.

The graph is shown below.

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

Explanation:

Because we're given a list of choices, we can plug in each (x,y) coordinates into each equation. The goal is to see if we get true or equations or not. True equations have the same number on both sides after fully simplifying.

Let's try (x,y) = (4,1) and we'll plug this into the first equation.

\(y = \sqrt{9-x}\\\\1 = \sqrt{9-4}\\\\1 = \sqrt{5}\\\\\)

The last equation is false, so the first equation must be false for those x,y values. We don't need to check the other equation. We have enough to rule out any answer choice involving (4,1). So that means we can cross off the two answer choices on the left side.

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

Let's try (x,y) = (0,3) in the first equation

\(y = \sqrt{9-x}\\\\3 = \sqrt{9-0}\\\\3 = \sqrt{9}\\\\3 = 3\\\\\)

We get a true equation. So far, so good.

Now we need to check the other equation

\(x+2y = 6\\\\0+2*3 = 6\\\\6 = 6\\\\\)

That works as well. Therefore, the point (0,3) is confirmed to be a solution to this system. Since the top right corner is the only thing remaining that has (0,3), this must be the final answer. So we can stop here.

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

For the sake of completeness, let's try (8,1)

\(y = \sqrt{9-x}\\\\1 = \sqrt{9-8}\\\\1 = \sqrt{1}\\\\1 = 1\\\\\)

Looking good so far. Now the second equation

\(x+2y = 6\\\\8+2*1 = 6\\\\10 = 6\\\\\)

which is false. The point (8,1) must make both equations true in order for it to be considered a solution. Therefore, we rule out (8,1). If you didn't check (4,1) earlier, then ruling out (8,1) will let you cross off the top left corner answer choice.

A quick way to find the solution(s) is to graph the two curves and see where they cross. They intersect at (0,3) which is the only solution of this system. See below.

Answer:

At (-2,0) gradient is -4 ; At (2,0) gradient is 4

Step-by-step explanation:

For this problem, we simply need to take the derivative of the function and evaluate when y = 0 (when crossing the x-axis).

y = x^2 - 4

y' = 2x

The function y = x^2 - 4 cross the x-axis when:

y = x^2 - 4

0 = x^2 - 4

4 = x^2

2 +/- = x

Hence, this curve crosses the x-axis twice, once at (-2,0) and again at (2,0).

The gradient at these points are as follows:

y' = 2(-2) = -4

y' = 2(2) = 4

Cheers.

Answer:

\((x,y) => (2.5x,2.5y)\)

Step-by-step explanation:

Given

See attachment for ABCD and A'B'C'D'

Required

Determine the dilation rule

Using AB and A'B' as points of references;

\(AB = (-1,2)\ to\ (2,1)\)

\(A'B' = (-2.5,5)\ to\ (5,2.5)\)

The dilation factor (k) is calculated as:

\(k = \frac{A'B'}{AB}\)

This gives:

\(k = \frac{(-2.5,5)}{(-1,2)} \ or\ k = \frac{(5,2.5)}{(2,1)}\)

Factorize

\(k = \frac{2.5*(-1,2)}{(-1,2)} \ or\ k = \frac{2.5*(2,1)}{(2,1)}\)

\(k = 2.5 \ or\ k = 2.5\)

Hence, the scale factor is 2.5

The dilation rule is:

\((x,y) => k(x,y)\)

\((x,y) => 2.5(x,y)\)

\((x,y) => (2.5x,2.5y)\)

The polar equation for the orbit of Halley's comet is r = (18.09 AU)/(1 + 0.97*cos(theta)), where r represents the distance from the sun to the comet, and theta represents the angle between the major axis of the ellipse and the line connecting the sun and the comet.

The maximum distance from the comet to the sun occurs when theta is equal to 0 or 180 degrees, resulting in r = 36.18 AU.

To derive the polar equation, we start with the general equation for an ellipse in polar coordinates: r = (a*(1 - e²))/(1 + e*cos(theta)), where a is the semi-major axis and e is the eccentricity.

Given that the major axis of Halley's comet is 36.18 AU and the eccentricity is 0.97, we can substitute these values into the equation to obtain r = (18.09 AU)/(1 + 0.97*cos(theta)).

This equation represents the polar equation for Halley's comet.

The maximum distance from the comet to the sun occurs when the cosine term is equal to -1, resulting in r = 36.18 AU.

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Answer:

Step-by-step explanation:

Answer:

She would have to work 5 hours to make $105.

Step-by-step explanation:

First Step: Find Unit Rate

189/9 = 21

9/9 = 1

Every 1 hour she gets paid $21.

Step 2: Find how much she needs to work to get paid $105

105/21 = 5

Vertical lines do not have positive slopes or negative slopes. They have undefined slopes.

Now, According to the question :

What is Vertical line?

A vertical line is a line, parallel to y-axis and goes straight, up and down, in a coordinate plane. Whereas the horizontal line is parallel to x-axis and goes straight, left and right.

Is a vertical line positive or negative?

The slope of a line can be positive, negative, zero, or undefined. A horizontal line has slope zero since it does not rise vertically (i.e. y1 − y2 = 0), while a vertical line has undefined slope since it does not run horizontally (i.e. x1 − x2 = 0).

Hence, Vertical lines do not have positive slopes or negative slopes. They have undefined slopes.

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We can say with 99% confidence that the true average number of sick days an employee who is 49 years old will take per year is between 0.85 and 3.30 sick days.

To find the 99% confidence interval for the average number of sick days an employee will take per year, given the employee is 49, we first need to calculate the predicted value of sick days for an employee who is 49 years old using the estimated regression line:

Sick Days = 14.310162 - 0.2369(Age)

Sick Days = 14.310162 - 0.2369(49)

Sick Days = 2.073273

So, we predict that an employee who is 49 years old will take an average of 2.07 sick days per year.

Next, we need to calculate the 99% confidence interval using the formula:

CI = predicted value ± t-value (α/2, n-2) × standard error

where α = 0.01 (since we want a 99% confidence interval), n = 10 (from the sample size), and t-value (α/2, n-2) is the critical value from the t-distribution table with α/2 = 0.005 and n-2 = 8 degrees of freedom.

Looking up the t-value in the table, we find t(0.005,8) = 3.355.

Plugging in the values, we get:

CI = 2.073273 ± 3.355 × 1.682207/√10

CI = 2.073273 ± 2.228079

CI = (0.845194, 3.301352)

Therefore, we can say with 99% confidence that the true average number of sick days an employee who is 49 years old will take per year is between 0.85 and 3.30 sick days

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Full Question:  The personnel director of a large hospital is interested in determining the relationship (if any) between an employee's age and the number of sick days the employee takes per year. The director randomly selects ten employees and records their age and the number of sick days which they took in the previous year. Employee 1 2 5 3 4 5 6 7 8 9 10 Age 30 50 40 55 30 28 60 25 30 45 Sick Days 7. 4 3 2 9 10 0 8 5 2

The estimated regression line and the standard error are given.

Sick Days=14.310162−0.2369(Age).

se=1.682207

Find the 99% confidence interval for the average number of sick days an employee will take per year, given the employee is 49. Round your answer to two decimal places.