Find the other endpoint of the line segment with the given endpoint and midpoint
Endpoint: (3,5)
Midpoint: (7, -2)

Answer:

I think this is the correct solution

Total amount paid over the next year including the initial down payment and finance charge = $856

The difference between paying in cash for the laptop and this financial arrangement = $106

Cost of laptop=$750

Down payment=$150

Finance charges = $25

Remaining amount =$600

Amount for 1 month including 13.5 % interest=600/12*13.5/100+600/12

                                                                       =$56.75

Total amount paid over the next year including the initial down payment and finance charge =  56.75*12+150+25 = $ 856

The difference between paying in cash for the laptop and this financial arrangement = $106

Benefits of financing laptop:

A costly laptop can be yours without having to pay in full.

Bank loans and conventional credit card services are not required.

Numerous retailers provide rewards, flexible payment plans, zero-interest rates, and other benefits.

Downsides of financing laptop:

It's dangerous to borrow money because late payments might result in fees and excessive interest rates.

A credit score may suffer if there is no interest charged.

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the answer is: 1° equation

2° equation

3° equation

and the 4° equation

Answer:

#1) -3 feet

#2) 5hours

Step-by-step explanation:

#1) you need to find the rate of change- feet per minute

To find the rate, divide -12 feet by 4 minutes (the twelve in negative because it decreases, almost like subtraction)

-12/4= -3 feet per minute.

Now, multiply by amount of minutes- -3x1=  -3 feet in 1 minute

#2) To find the maount of degrees each hour,

divide 10 degrees by 2 degrees per hour.

10/2=5 hours

Hope this helps :)- please give me brainliest!!

Answer:

The perimeter of a rectangle is equal to 2L + 2W, where L = the length of the rectangle and W = the width of the rectangle. So, one equation is

2L + 2W = 60

From the info given in the problem, we also know that L = 4W. Therefore, we can use the Substitution Method to re-write the first equation as:

4W + 2W = 60

You should be able to solve this equation for W. Once you find W, you can then calculate L.

Step-by-step explanation:

Answer:

Step-by-step explanation:

See attached diagram (not to scale).

All given details reflected.

a) Find the measure of XZ using the law of cosines:

b) Now using the law of sines find the measure of angle X:

The bearing of Z from X is:

Answer:

x = 13/12

Step-by-step explanation:

explain on image

The velocity vector for wind blowing at 10 km/hr toward the northeast can be represented as \((v_x, v_y)\) =  (7.071, 7.071) km/hr.

To find the velocity vector for wind blowing at 10 km/hr toward the northeast, we need to break down the velocity into its x and y components. Since the wind is blowing toward the northeast, we can consider it as a combination of motion in the positive x-direction and positive y-direction.

The magnitude of the velocity is given as 10 km/hr. Since the wind is blowing at an angle of 45° with the positive x-axis (northeast direction), we can use trigonometry to determine the x and y components of the velocity. The x-component (\(v_x\)) can be calculated as\(v_x\) = magnitude * cos(angle) = \(10 * \left(\frac{{\sqrt{2}}}{2}\right)\)= 10 * 0.7071 ≈ 7.071 km/hr.

Similarly, the y-component (\(v_y\)) can be calculated as \(v_y\) = magnitude * sin(angle) = \(10 * \left(\frac{{\sqrt{2}}}{2}\right)\) ≈ 7.071 km/hr. Therefore, the velocity vector for wind blowing at 10 km/hr toward the northeast is (\(v_x, v_y\)) = (7.071, 7.071) km/hr.

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The upper class limits are- 29, 39, 49, 59, 69, 79, 89

The lower class limits are- 20, 30, 40, 50, 60, 70, 80

The class midpoints are- 24.5, 24.5, 44.5, 54.5, 64.5, 74.5, 84.5

The class boundaries are- 29.5, 39.5, 49.5, 59.5, 69.5, 79.5

And the number of individuals included in the summary is 84.

Here, we are given the following dataset-

Age (yr) when          Frequency

award was won

20-29                       27

30-39                       32

40-49                       15

50-59                       3

60-69                       5

70-79                        1

80-89                       1

Upper class limit is the largest data value that can go in a class.

Thus, the upper class limits are- 29, 39, 49, 59, 69, 79, 89

Lower class limit is the smallest data value that can go in a class.

Thus, the lower class limits are- 20, 30, 40, 50, 60, 70, 80

The class midpoint is the average of the upper and lower limits of a class. Class midpoint = (upper limit + lower limit)/ 2

Thus, the class midpoints are- 24.5, 24.5, 44.5, 54.5, 64.5, 74.5, 84.5

Class boundary is the midpoint of the upper class limit of a class and the lower class limit of the previous class.

Thus, the  class boundaries are- 29.5, 39.5, 49.5, 59.5, 69.5, 79.5

Frequency gives us the number of individuals/ objects belonging to a particular class.

Thus, the number of individuals included in the summary = 27 + 32 + 15 + 3 + 5 + 1 + 1 = 84

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complete question:

Identify the lower class limits, upper class limits,

class width, class midpoints, and class boundaries for

the given frequency distribution. Also identify the

number of individuals included in the summary.

Age (yr) when

award was won

20-29

30-39

40-49

50-59

60-69

70-79

80-89

Frequency

27

32

15

3

5

1

1

Answer:

Either 36.35 or 16.00173

Step-by-step explanation:

the reason im saying its either is due to not remembering whether do divide by inverse cosine to get on other side of equal sign or to just divide the cosine as is.

IF you are supposed to use inverse cosine:

16.00173

IF NOT:

36.35182

The value of prime numbers c in the equation is c = 2.

What is prime numbers?

Those greater than one are known as prime numbers. They simply have two variables, the number itself and factor 1.

We have given that a - b = c requires all of the integers to be positive prime numbers,

c can only have one outcome, which is 2.

                 \(e.g., 13 - 11 = 7 - 5 = 2.\)

Hence in the given prime numbers c in the equation is c = 2.

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Answer:

the probaility of choosing a red shirt is 1

The equation of the parabola that models the flight of the ball is y = ax^2 + 25, where a can be any non-zero real number.

The equation of the parabola that models the flight of the ball can be expressed in the standard form: y = ax^2 + bx + c.

Since the ball is kicked from the origin, the equation simplifies to y = ax^2 + c.

To find the values of a and c, we can use the given information. The ball reaches a maximum height of 25 feet, which means the vertex of the parabola is at the point (0, 25). This gives us c = 25.

Now we need to determine the value of a. Since the maximum height occurs at the vertex, the x-coordinate of the vertex is 0. Additionally, we know that the ball hits the ground 100 feet from where it was kicked. The x-coordinate at that point is 100. Therefore, we can use the vertex form of the parabola equation, which is x = -b/2a, to find a.

Substituting the known values, we have 0 = -b/2a, which implies b = 0. Therefore, a can be any non-zero value.

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The values of r and s is -1 and -4 respectively.

Given that:-

coordinates of j are (-8,-5)

coordinates of l are (6,-11)

coordinates of k are (r-4,2s)

Also, k is the mid-point of jl.

We have to find the values of r and s.

We know that, for  (x,y) and (z,w), the mid-point is ((x+z)/2, (y+w)/2).

Here,

(x,y) = (-8.-5)

(z,w) = (6,-11)

(r-4,2s) = ((x+z)/2,(y+w)/2)

Hence,

(r-4,2s) = ((-8+6)/2,(-5-11)/2)

(r-4,2s) = (-1,-8)

Comparing the coordinates, we get:-

r - 4 = -1

r = -1+4 =3

2s = -8

s =-8/2 = -4

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Answer:

15/3=45/x

We move all terms to the left:

15/3-(45/x)=0

Domain of the equation: x)!=0

x!=0/1

x!=0

x∈R

We add all the numbers together, and all the variables

-(+45/x)+15/3=0

We add all the numbers together, and all the variables

-(+45/x)+5=0

We get rid of parentheses

-45/x+5=0

We multiply all the terms by the denominator

5*x-45=0

We add all the numbers together, and all the variables

5x-45=0

We move all terms containing x to the left, all other terms to the right

5x=45

x=45/5

x=9

Step-by-step explanation:

Answer:

17.3

Step-by-step explanation:

sin(30)=0.5

0.5*20=100

20*20+x*x=100

x=17.3

Answer:

38 units

Step-by-step explanation:

EP = FP , then

4y + 2 = 2x → (1)

GQ = FQ , then

4y + 4 = 3x - 1 ( subtract 4 from both sides )

4y = 3x - 5 → (2)

substitute 4y = 3x - 5 into (1)

3x - 5 + 2 = 2x ( subtract 2x from both sides )

x - 3 = 0 ( add 3 to both sides )

x = 3

substitute x = 3 into (1)

4y + 2 = 2(3) = 6 ( subtract 2 from both sides )

4y = 4 ( divide both sides by 4 )

y = 1

Then

EP = 4y + 2 = 4(1) + 2 = 4 + 2 = 6 = FP

GQ = 4y + 4 = 4(1) + 4 = 4 + 4 = 8 = FQ

PQ is a midsegment and is half the length of EG

PQ = x + 2y = 3 + 2(1) = 3 + 2 = 5 , so

EG = 2 × 5 = 10

Then summing the parts for perimeter (P)

P = 6 + 6 + 8 + 8 + 10 = 38

Step-by-step explanation:

a fraction is x/y.

so, now we need to put the numbers in as defined. yes, and then simplify.

140 students, 60 are male. that means 140 - 60 = 80 are female.

a)

60/80 = 6/8 = 3/4

b)

80/60 = 8/6 = 4/3

c)

60/140 = 6/14 = 3/7

d)

140/80 = 14/8 = 7/4

Answer: -2

Hope this helps :)

Therefore, the straight horizontal line labeled f(x) represents where f(x) is equal to 4.

Based on the given information, the function f(x) is represented by the straight horizontal line that crosses the y-axis at (0, 4). The point (0, 4) on the y-axis indicates that when x is 0, the value of f(x) is 4. Since the line is horizontal, it maintains a constant value of 4 for all values of x.

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answer: 1

step-by-step explanation:  n + 8 = 9

therefore 9-8 = 1

The solution to the equation n+ 8 = 9 is 1 from the set {0,1,17,72} n = 1 satisfy the provided equation.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a linear function in terms of n:

n + 8 = 9

Subtract 8 both side:

n + 8 – 8 = 9 – 8

n = 1

From the set, we can see the element 1 is the solution to the given equation.

Thus, the solution to the equation n+ 8 = 9 is 1 from the set {0,1,17,72} n = 1 satisfy the provided equation.

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a) Smallest possible weight of the bag of potatoes is 24.5 kg.

What is Rounding number?

Rounding is the process of simplifying a number while maintaining a value that is near to the original.

Given that;

The weight of the potato is 25 kg.

Now,

Since, The weight of the potato is 25 kg.

For rounding number;

24.5 ≈ 25

Thus,  

a) Smallest possible weight of the bag of potatoes is 24.5 kg.

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The equation of the graph or function y=-1/9x²

From the given instruction we obtain a parabola with an x-coordinate equal to the midpoint of I of the endpoints of the base or −6+6/2 =0

And y-coordinate equal to the midpoint of the y-coordinates of the vertex and an endpoint of the base or 4+(−4)/2=0

So the vertex is (0,0)

From the function y=x² above graph is the reflection about x-axis

so we have y=−ax²

So, to find "a" we will put (6,-4) in equation 1 we get

-4=-a(6)²

a=1/9

Hence, the equation of the graph is y=-1/9x²

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The equation of line that passes through the point (6, -1) & is parallel to the line represented by 8x + 3y = 15, in standard form is: 8x + 3y = 45.

Equation of a line in standard form is:

Ax + By = C

where A, B & C are constants.

As the required line is parallel to the given line, that is 8x + 3y = 15, the slope of the required line will be same as that of the given line.

Slope intercept form of a line is:

y = mx + b

where, m is slope of the line, b is a constant.

Re-writing the equation of the given line in slope-intercept form:

⇒ 3y = -8x + 15

⇒ y = (-8/3)x + 5

⇒ slope = m = -8/3

Now as the required line is parallel to the given line, hence its slope-intercept form will be

y = (-8/3)x + b

As the line passes through the point (6, -1),

⇒ -1 = (-8/3)×6 + b

⇒ b = 15

Hence, the slope-intercept form of the required line is

y = (-8/3)x + 15

Re-writing it in standard form, the equation comes out to be

8x + 3y = 45

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Answer:

D) \(1 < x\leq 4\)

Step-by-step explanation:

1 is not included, but 4 is included, so we can say \(1 < x\leq 4\)

Answer:

-1.5533

Step-by-step explanation:

-89 degrees x Pi/180 degrees

=-0.49444444444Pi rad

=-1.5533430342 rad

The length of the two points (-1 , 2) and (2 , 5) forming a hypotenuse to a right triangle is 4.2 units.

Here we have been given 2 points (-1,2) and (2,5).

Two find a right triangle with a hypotenuse from these two points, we will first plot these points in the Cartesian plane.

Let A be (-1 , 2) and B be (2 , 5)

After this, we will join these points to make the hypotenuse AB.

The best way to proceed after this is to trace out a line from point B parallel to the Y-axis and a line from point B parallel to the X axus.

The intersection of these 2 points will obviosly be a right angle.

Hence, we get out right triangle ABC where C is (2 , 2)

Now we need to use sides AC and BC to find the distance between A and B.

This can be done using the Pythogaras Theorem which states

the sum of squares of perpendicular and base = square of the hypotenuse

Hence we get

AC² + BC² = AB²

AC is clearly the difference between the x coordinates of A and C which gives us

2 - (-1) = 2 + 1 = 3

Similarly, BC is the difference between the Y-coordinates of B and C which is

5 - 2 = 3

Hence

AB² = 3² + 3²

or, AB² = 9 + 9 = 18

or AB = √18

or, AB = 4.2 units.

The length of the two points (-1 , 2) and (2 , 5) is 4.2 units.

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The smallest possible inside length of the cubical steel tank that can hold 275 liters of water is approximately 0.640 meters.

The side length of the cube is found by converting the volume of water from liters to cubic meters, as the unit of measurement for the side length is meters.

Given that the volume of water is 275 liters, we convert it to cubic meters by dividing it by 1000 (1 cubic meter = 1000 liters):

275 liters / 1000 = 0.275 cubic meters

Since a cube has equal side lengths, we find the side length by taking the cube root of the volume. In this case, we find the cube root of 0.275 cubic meters:

∛(0.275) ≈ 0.640

Rounded to the nearest 0.001 meters, the smallest possible inside length of the tank is approximately 0.640 meters.

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