A line contains points M(1, 3) and N(5, 0). What is the slope of MN?

​

Answer: See explanation

Step-by-step explanation:

A. What is the total amount to be paid at the time of the purchase?

This will be the selling price of the stereo with the tax and the deferral. This will be:

= $1052.75 + $40

= $1092.75

B) What is the amount of each monthly payment?

Each monthly payment will be gotten by dividing the total payment to be made by 12. This will be:

= $1092.75 / 12

= $91.06

After using the elimination method we get the value of y as 2.

Given we have the following set:

2x + 4y = 6

3x + 5y = 7

Solving simaltanious equation by elimination

2x + 4y = 6 -------------(I)

3x + 5y = 7 ---------------(II)

To eliminate x, multiply equation (I) by (-3) and equation (II) by 2. Then add the two equations. Now, 'x' will be eliminated and we can find the value of 'y'.

(I) *(-3)             -6x  - 12y = -18

(II)*2                  6x +  10y  = 14    {Now add}              

                               - 2y  = -4

                                  y = -4/-2

y = 2

Hence after eliminating x we get the value of y as 2.

Learn more about Elimination method here:

brainly.com/question/28405823

#SPJ9

\((\stackrel{x_1}{-4}~,~\stackrel{y_1}{-4})\hspace{10em} \stackrel{slope}{m} ~=~ - \cfrac{3}{4} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{- \cfrac{3}{4}}(x-\stackrel{x_1}{(-4)}) \implies y +4= -\cfrac{3}{4} (x +4) \\\\\\ y+4=-\cfrac{3}{4}x-3\implies {\Large \begin{array}{llll} y=-\cfrac{3}{4}x-7 \end{array}}\)

Answer:

y = -3/4x - 7

Step-by-step explanation:

Given: slope = m = -3/4

Plug this value into the standard slope-intercept equation of y = mx + b.

y = -3/4x + b

To find b, we want to plug in a value that we know is on this line: in this case, point (-4, -4). Plug in the x and y values into the x and y of the standard equation.

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

To find b, multiply the slope and the input of x(-4)

-4 = 3 + b

Now, subtract 3 from both sides to isolate b.

-7 = b

Plug this into your standard equation.

y = -3/4x - 7

This is your equation.

Learn more with another example:

https://brainly.com/question/27643891

Answer:

RC,\α is a rigid motion.

Here C, is the rotacenter which is the fixed point and around C all other points move in a fixed distance by the definition of rotation.

the motion follows in a circularmanner with C as the center.

consider a point Q which changes to Q1 after rotation by an angle\alpha

Step-by-step explanation:

When considering rotational motion and subsequently rotational mechanics every point on the body must have same angular velocity and angular acceleration. If the body is not rigid different points on the body will have different angular velocity and angular acceleration.

The total amount paid is the sum of the cost of the repair and the tax paid.

Given that tax is 7%, the amount of tax payed is

7/100 * 380 = 26.6

Total = 380 + 26.6 = 406.60

The total amount paid is $406.60

Well Molly is in debt or in the negatives meaning she doesn't have enough money to buy whatever.

If m/n is the probability that you do not eat green candy after you eat a red candy, then m + n is 6.

A bag contains 8 green candies and 4 red candies. If you eat five candies, there are relatively prime positive integers m and n so that m/n is the probability that you do not eat green candy after you eat a red candy. Below list the ways to accomplish this ordering along with their respective probabilities:

GRRRR : \(\frac{8}{12}\times\frac{4}{11} \times\frac{3}{10} \times\frac{2}{9} \times\frac{1}{8}\)

GGRRR : \(\frac{8}{12}\times\frac{7}{11} \times\frac{4}{10} \times\frac{3}{9} \times\frac{2}{8}\)

GGGRR : \(\frac{8}{12}\times\frac{7}{11} \times\frac{6}{10} \times\frac{4}{9} \times\frac{3}{8}\)

GGGGR : \(\frac{8}{12}\times\frac{7}{11} \times\frac{6}{10} \times\frac{5}{9} \times\frac{4}{8}\)

GGGGG : \(\frac{8}{12}\times\frac{7}{11} \times\frac{6}{10} \times\frac{5}{9} \times\frac{4}{8}\)

The sum is \(\frac{8\times3\times4(2+14+42+70+70)}{12.11.10.9.8}\)

Probability that you do not eat green candy after you eat a red candy =\(\frac{1}{5}\)

so m = 1 and n = 5

m + n =6

To know more about Probability.

https://brainly.com/question/16506016

#SPJ4

Answer:

Step-by-step explanation:

Answer:

I THINK ONE IS C

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Choose two points on the line and find the slope. For example, let's use coordinates (0,2) and (5,4).

Use the slope formula to find the slope between these points.

y2-y1/x2-x1

4-2/5-0 = 2/5

Slope of the new line is 2/5.

With the slope, compare the two fractions. Set them up side by side and cross multiply. Whichever one gives you the larger number is the larger fraction. Larger slopes are going to be steeper. So, C is right.

Refer to my picture to see what I mean by cross multiplying.

Answer:

The volume of the sphere is 2,143.57

Step-by-step explanation:

The formula for finding the volume of the sphere is

V = \(\frac{4}{3}\)π\(r^{3}\)

"r" represents the radius of the sphere. So put the value of it in the formula.

V = (\(\frac{4}{3}\))(3.14)(\(8^{3}\))

V =  (\(\frac{4}{3}\))(3.14)(512)

Multiply all of them and you will get:

2143.57333333 or 2,143.57 which is the volume of the sphere

Answer:

answer B would be the answer due to the amount of the space is shaded.

The domain of the function f(x) = -3x + 2 is (-∞, +∞), representing all real numbers, and the range is (-∞, 2], representing all real numbers less than or equal to 2.

The function f(x) = -3x + 2 is a linear function defined by a straight line. To determine the domain of this function, we need to identify the range of values for which the function is defined.

The domain of a linear function is typically all real numbers unless there are any restrictions. In this case, there is no explicit restriction mentioned, so we can assume that the function is defined for all real numbers.

Therefore, the domain of the function f(x) = -3x + 2 is (-∞, +∞), which represents all real numbers.

Now, let's analyze the range of the function. The range of a linear function can be determined by observing the slope of the line. In this case, the slope of the line is -3, which means that as x increases, the function values will decrease.

Since the slope is negative, the range of the function f(x) = -3x + 2 will be all real numbers less than or equal to the y-intercept, which is 2.

Therefore, the range of the function is (-∞, 2] since the function values cannot exceed 2.

For more such question on function. visit :

https://brainly.com/question/11624077

#SPJ8

The solution is, the value of the variables are x = 40 and, y = 160.

Notice that "x" and "3x+20" are supplementary angles so their sum is 180°

(x) + (3x + 20) = 180

4x + 20 = 180

4x = 160

x = 40

To solve for "y", you have 2 options: either notice that "x" and "y-20" are supplementary angles so their sum is 180° or notice that "3x + 20" and "y - 20" are vertical angles so are equal to each other. I am going to solve using the first option because it is less work.

(x) + (y - 20) = 180°

40 + y - 20 = 180

y + 20 = 180

y = 160

Answer: x=40, y=160

The solution is, the value of the variables are x = 40 and, y = 160.

To learn more on angle click:

brainly.com/question/28451077

#SPJ1

complete question:

Find the value of each variable

The probability that it is raining and the flight is delayed is 0.011, or approximately 0.011 rounded to the nearest thousandth.

Let's use the formula for calculating the probability of the intersection of two events: P(A and B) = P(A) × P(B|A), where P(B|A) is the probability of event B occurring given that event A has occurred.

Let A be the event that it is raining, and B be the event that the flight is delayed. We are looking for P(A and B).

We know that:

P(A) = 0.1 (the probability that it will rain)

P(B) = 0.11 (the probability that the flight will be delayed)

P(not A and not B) = 0.88 (the probability that it will not rain and the flight will leave on time)

We can use the complement rule to find P(A or B):

P(A or B) = 1 - P(not A and not B)

P(A or B) = 1 - 0.88

P(A or B) = 0.12

Now we can use the formula for the intersection of two events:

P(A and B) = P(A) × P(B|A)

We know that P(A) = 0.1, and we need to find P(B|A), the probability of the flight being delayed given that it is raining.

We can use Bayes' theorem to find P(B|A):

P(B|A) = P(A and B) / P(A)

P(B|A) = (P(A) × P(B|A)) / P(A)

P(B|A) = P(B and A) / P(A)

We can rearrange this to get:

P(A and B) = P(B|A) × P(A)

Substituting the values we know:

P(B|A) = P(A and B) / P(A)

0.11 = P(A and B) / 0.1

P(A and B) = 0.11 × 0.1

P(A and B) = 0.011

Therefore, the probability that it is raining and the flight is delayed is 0.011, or approximately 0.011 rounded to the nearest thousandth.

to know more about probability

brainly.com/question/30034780

#SPJ1

Answer: 2.68

Step-by-step explanation: 0.4 + 0.68 + 1.6

Answer:

(x + i) (x - i)

Step-by-step explanation:

The expression x^2 + 1 is a sum of squares, which means that it cannot be factored using real numbers. However, it can be factored using complex numbers.

To factor x^2 + 1, we can use the fact that i^2 = -1, where i is the imaginary unit.

We can rewrite x^2 + 1 as:

x^2 + 1 = x^2 - (-1)

Now, we can use the difference of squares formula to factor x^2 - (-1):

x^2 - (-1) = (x + i)(x - i)

Therefore, the factored form of x^2 + 1 is:

(x + i)(x - i)

Answer:

y + 5 = 3y - 1

2y = 6, so y = 3

4x - 2 = x + 10

3x = 12, so x = 4

the volume of the spherical globe with a radius of 9 inches is approximately 3053.63 cubic inches.

What is globe?

A globe is a three-dimensional, spherical representation of the Earth or another celestial body, such as a planet or a moon. It is typically made of a hollow sphere of material, such as paper, plastic, metal, or glass, with a map of the Earth or the celestial body printed or drawn on its surface.

Globes are often used as educational tools to help people visualize and understand the geography, topography, and other features of the Earth or other planets. They can be used in classrooms, museums, or other settings to teach geography, astronomy, or other related subjects.

Globes can also be decorative objects, used to add visual interest to a room or office. They come in a variety of sizes, styles, and designs, ranging from small desktop globes to large, ornate globes mounted on stands.

The formula for the volume of a sphere is V = (4/3)πr³, where V is the volume, π is the mathematical constant pi (approximately 3.14), and r is the radius of the sphere.

Using this formula and substituting the given radius of 9 inches, we can calculate the volume of the globe as follows:

V = (4/3)πr³

V = (4/3)π(9³)

V = (4/3)π(729)

V = 3053.63 cubic inches (rounded to two decimal places)

Therefore, the volume of the spherical globe with a radius of 9 inches is approximately 3053.63 cubic inches.

It's important to note that the volume of a sphere is a measure of the amount of space inside the sphere, so the volume represents the maximum amount of material that can fit inside the sphere. This calculation may be useful in a variety of contexts, such as designing packaging or calculating the capacity of a container.

To know more about radius visit :-

https://brainly.com/question/27696929

#SPJ1

Answer:

x = 22

Step-by-step explanation:

Let's name the triangle ABC. (A being the top left corner, B = (103 - x)°, C = 2x°)

Find angle A.

180° - (6x - 7)° [adjacent angles on a straight line]

= 180° - 6x° + 7°

= (187 - 6x)°

Make an equation. In this case we have all the angles of the triangle. We can make an equation of A + B + C = 180° and then solve for x.

(187 - 6x)° + (103 - x)° + 2x° = 180°

290° - 5x° = 180°

-5x° = 180° - 290°

-5x° = -110°

x° = 22°

x = 22

Answer:

60 miles

Step-by-step explanation:

Since 1 inch on the map equals 20 miles, you just have to multiply 3 by 20.

3x20=60

Answer:

1296

Step-by-step explanation:

2^4⋅3^4

= 16 * 81

= 1296

Answer:

$2,200.89

Step-by-step explanation:

hope this helps.

Answer:

C & D

Step-by-step explanation:

A. = 48 cubic units

B. = 48 cubic units

C. = 64 cubic units

D. = 44 cubic units

The only rectangular prism that does not have a volume of 48 cubic units is C and D, which has a volume of 64 and 44 cubic feet respectively.

A prism is a three-dimensional solid object with two identical ends. It is made up of flat faces, identical bases, and equal cross-sections. The prism's faces are parallelograms or rectangles without bases.

To find the volume of each rectangular prism, you can use the formula V = lwh, where V is the volume, l is the length, w is the width, and h is the height.

Rectangular prism with length of 8 feet, width of 2 feet, and height of 3 feet.

V = (8)(2)(3) = 48 cubic feet

Rectangular prism with length 6 feet, width of 2 feet and height of 4 feet.

V = (6)(2)(4) = 48 cubic feet

Rectangular prism with length of 4 feet, width of 4 feet and height of 4 feet.

V = (4)(4)(4) = 64 cubic feet

Rectangular prism with length of 11 feet, width of 2 feet and height of 2 feet.

V = (11)(2)(2) = 44 cubic feet

Thus, the only rectangular prism that does not have a volume of 48 cubic units is C and D.

For more details regarding prism, visit:

https://brainly.com/question/29722724

#SPJ3

Answer:

The person has a higher average speed, so the person moves faster than the bird.

Step-by-step explanation:

We have to work with the measures in the same units, i am going to use distance in kilometers and time in minutes.

A certain species of birds migrates 24,000 miles in 90 days.

24000 miles = 24000*1.61 = 38640 kilometers.

90 days = 90*24*60 minutes = 129 600 minutes.

Average speed is distance divided by time, so

38640/129600 = 0.298 kilometers per minute.

A person can speed walk 40 kilometers in 100 minutes.

40/100 = 0.4 kilometers per minute

0.4 > 0.298, so the person moves faster.

An autonomous differential equation with equilibrium solutions at y=0 and y=3, and y' > 0 for 0 < y < 3 and y' < 0 for -inf < y < 0 and 3 < y < inf is dy/dx = 3y(1-y).

An autonomous differential equation is a type of ordinary differential equation that does not depend on any other variable but time. It has a single variable, usually denoted as y, and a single independent variable, usually denoted as t or x. An autonomous differential equation with equilibrium solutions at y=0 and y=3, and y' > 0 for 0 < y < 3 and y' < 0 for -inf < y < 0 and 3 < y < inf is dy/dx = 3y(1-y). This equation will have two equilibrium solutions at y=0 and y=3. The derivative of the equation, y’, is greater than 0 for 0 < y < 3, which means that the equation is increasing in this range. The derivative of the equation is less than 0 for -inf < y < 0 and 3 < y < inf, which means that the equation is decreasing in this range. This equation is a type of logistic equation and is often used to model population growth. It is also used to describe other phenomena such as the spread of an epidemic or the number of species in an ecosystem. Using the initial conditions y(0) = 2 and y(1) = 3, we can calculate the values of y at other time points using the equation dy/dx = 3y(1-y). At t=0.5, the value of y is y(0.5) = 2.5; at t=1.5, the value of y is y(1.5) = 2.875; and at t=2.5, the value of y is y(2.5) = 2.9375.

Learn more about equation here

https://brainly.com/question/29657992

#SPJ4

A. x² - 200 gives the amount of money the interior designer will make decorating the house as a function of hours he works.

B. He will earn 1,875 if he works for 50 hours.

C. The difference quotient is equal to 2x.

The solution has been obtained by using functions.

What is a function?

Function is a kind of relation, or rule, that associates a single input with a single, predetermined output.

We are given two functions

f(x) = 49x² – 200

which represents the amount of money he earns per room decorated

g(x) = (1/7)x

which represents the number of rooms the interior designer decorates

A. The amount of money the interior designer will make decorating the house as a function of hours he works will be given by evaluating f(x) in g(x).

So,

f(g(x)) = 49((1/7)x)² – 200

f(g(x)) = x² - 200

B. Since, the house requires 50 hours of work, this means that x = 50.

Substituting this in f(g(x)) = x² - 200, we get

f(g(50)) = 50² - 200

f(g(50)) = 1,875

C. The difference quotient for the function is as follows

\(\lim_{h \to \ 0}\frac{f(x+h) -f(x)}{h}\)

\(\lim_{h \to \ 0}\frac{(x+h)^{2}-200-x^{2}+200}{h}\)

\(\lim_{h \to \ 0}\frac{x^{2} + 2xh + h^{2}-x^{2}}{h}\)

= 2x

Hence, x² - 200 gives the amount of money and he earns 1,875 if he works for 50 hours. The difference quotient is equal to 2x.

Learn more about function from the given link

brainly.com/question/2253924

#SPJ1

We can conclude that the same ratio of dimes to quarters is not maintained.

Let

x represent the number of dimes

y represent the number of quarters

We know that;

Suri's coin purse

x = 6, y = 4

The ratio of dimes  to quarters is;

x/y = 6/4

For Martha's coin purse

x = 5 and y = 3

The ratio of dimes  to quarters is;

x/y = 5/3

Compare the ratios;

6/4 = 5/3

Cross multiply to get;

18 ≠ 20

Thus, we conclude that the ratios are not equal.

Read more about Algebra Word Problems at; https://brainly.com/question/13818690

#SPJ1

Answer:

B. 1,500’

Step-by-step explanation:

Given;

dimension of the rectangular house, = 35’ x 40’

The actual total linear footage of lumber needed = 35’ x 40’ = 1,400'

The rough estimate should be greater than the actual estimate in 100s;

rough estimate = 1,400' + 100' = 1,500'

Therefore, the rough estimate of the total linear footage of lumber needed is 1,500'.