What is the slope of the line that passes through the points (8, 7) and (4, 5)
write in simplest form

The coordinates of the midpoint are (-1, 3.5) and the distance of AC is 26.25 units.

We know that for a segment whose endpoints are (x₁, y₁) and (x₂, y₂), the coordinates of the midpoint are:

( [x₁ + x₂]/2, [y₁ + y₂]/2)

In this case, the endpoints are:  (3, -9) and (-5, 16), then the midpoint is:

M = ( [3 - 5]/2, [-9 + 16]/2)

M = (-1, 3.5)

The distance between two points (x₁, y₁) and (x₂, y₂) is:

d = √( (x₁ - x₂)^2 + (y₁ - y₂)^2)

So here the distance is:

d = √( (3 + 5)^2 + (-9 - 16)^2) = 26.25 units.

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Answer: -2/5 |x+1| +3=  13-2x/5

Step-by-step explanation:

    −2÷5(x+1)+3

Fraction  

5

−2

​

 can be rewritten as −

5

2

​

 by extracting the negative sign.

−

5

2

​

(x+1)+3

Use the distributive property to multiply −

5

2

​

 by x+1.

−

5

2

​

x−

5

2

​

+3

Convert 3 to fraction  

5

15

​

.

−

5

2

​

x−

5

2

​

+

5

15

​

Since −

5

2

​

 and  

5

15

​

 have the same denominator, add them by adding their numerators.

−

5

2

​

x+

5

−2+15

​

Add −2 and 15 to get 13.

−

5

2

​

x+

5

13

​

Answer:

Domingo 12 de abril

Step-by-step explanatio

El primer dia Lunes fueron 2 horas Martes fueron 30 munitos mas, ya son 2:30  Miercoles fueron otros 30 minutos mas, son 3 horas. Jueves y Vierns es una hora mas, porque cada dia es 30 minutos. que ya son 4 horas. y el sabado son 30 mas, y el domingo el practica 5 horas

The expression for the word problem can be written as x + 12 = 5 ( x - 32).

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that in 12 years I will be five times as old as I was 32 years ago. The expression in the mathematical form will be calculated as:-

x + 12 = 5 ( x - 32 )

Here, x will be the present age.

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The volume of Prism B is approximately 1717.

To find the volume of Prism B, we need to use the information provided and the concept of similarity between the prisms.

Prism A and Prism B are similar, their corresponding sides are proportional.

Let's assume the scale factor between Prism A and Prism B is 'k'. This means that each side of Prism B is 'k' times larger than the corresponding side of Prism A.

Since the surface area is directly proportional to the square of the side length, we can write the following equation:

\((k * side length of Prism A)^2\)= surface area of Prism B

Plugging in the values we have, we get:

\((k * sqrt(588))^2 = 768\)

Simplifying the equation:

\(k^2 * 588 = 768\)

Dividing both sides by 588:

\(k^2 = 768 / 588\)

\(k^2 ≈ 1.306\)

Taking the square root of both sides:

k ≈ sqrt(1.306)

k ≈ 1.143

Now, we can find the volume of Prism B. Since volume is directly proportional to the cube of the side length, we have:

Volume of Prism B =\(k^3 *\) Volume of Prism A

Volume of Prism B ≈ \((1.143)^3 * 1052\)

Volume of Prism B ≈ 1717

The volume of Prism B is approximately 1717.

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The distance that Bucky walked is 25.908 meters

What is distance ?
Distance is a numerical measurement of how far apart two objects or points are in space. It is a scalar quantity, which means that it is defined only by its magnitude and not by its direction. Distance can be measured using various units, such as meters, feet, kilometers, miles, and so on, depending on the system of measurement being used.

Distance is an important concept in mathematics, physics, and other fields that deal with spatial relationships. It is often used to describe the length of a path traveled by an object or the separation between two objects in space.

According to the question:
To convert feet to meters, we can use the conversion factor 1 foot = 0.3048 meter.

The distance that Bucky walked is given as 85 feet. To find the distance in meters, we can multiply the number of feet by the conversion factor:

Distance in meters = 85 feet x 0.3048 meter/foot

Simplifying this expression, we get:

Distance in meters = 25.908 meters

Therefore, Bucky walked 25.908 meters.

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Answer:0.02

Step-by-step explanation:

The key words in this problem is that you are compounding continuously, so that would be a equals p e to the r t power to show you that formula, and so when it says you have 2500 in the account e to the .4 excuse me, 0.0475 t Power is equal to, it says, doubling the investment, and so you just have to think about your doubling the investment you're going to take 2500 times to do it. The first thing i would do, then, is to divide the 2500 over which actually cancels out this 2500 point so you're. Looking at e to the .0475 t, power is equal to 2 right, 4.75 percent, so to solve for t want to natural log, both sides- i forgot my t in there so to solve for t natural log of 2 divided by 0475, so it takes about 14.593 Years or, however, you're supposed around it says: 2 decimals soul be 14.59 years all right, so on number 2, this time they give you the formula for ph is equal to negative log of the hydrogen plus atoms ions. So, basically, what they want you to do is take 1.7 plugging them, for the ph is equal to negative log of let's just call it h, and we have to solve for h now. So the first thing you want to do is to divide that negative 1.7. Over to undo log base 10, this would take 10 to that power and that's your answer not sure exactly where they want you to round says the nearest one hundredth would be .02, so the h plus items is equal to 0.02.

Answer:

B) x > 8

Step-by-step explanation:

1-Step: Combine like terms by subtracting 9 on both sides : 17-9 < X

8 < X

2- Step: flip the signs (Since 8 is less than X, Then X is greater than X)

X > 8

Answer:214.29

Step-by-step explanation:600 divided by 2.8

possibly the answer

The following Answer is:

12,100

Using the principle of common difference , we can observe that the distance moved per roll increases by a constant amount of centimeters . Hence, the distance moved in the 5th roll is 180 cm

Setting up a proportional relationship :

The common difference between each roll can be obtained thus :

d2 - d1 = d3 - d2 = d4 - d3

60 - 20 = 100 - 60 = 140 - 100

40 = 40 = 40

Hence, the common difference = 40

The distance obtained on the fifth roll :

d(5) = d(4) + common difference

d(5) = 140 + 40

d(5) = 180

Therefore, the distance obtained on the fifth roll is 180 cm

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Answer:

2

Step-by-step explanation:

-6 divided by a positive number would make it a positive number welcome

Answer:

It should be five units

Step-by-step explanation:

I graphed this situationa and measured the length so 5 units is the best option here

Answer: A.

Step-by-step explanation:

Answer:

2°C

Step-by-step explanation:

5 × ( - 2 ) - 4 × ( - 3 ) = - 10 + 12 = 2

The temperature on the 5th day is 2°C .

At the price of 20/7 dollars, it should sell your skateboards so that there is neither a shortage nor a surplus.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be one degree.

To calculate the price should sell your skateboards for so that there is neither a shortage nor a surplus we would have to make the following calculation as;

q (sales) = q (supply)

−4p + 50 = 3p − 30

-4p - 3p = -30 - 50

-7p = -20

p = 20/7

At the price of 20/7 dollars it should sell your skateboards so that there is neither a shortage nor a surplus.

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Answer:

\(f^{-1}\)(x)=\(\sqrt{x+3}\)  , - \(\sqrt{x+3}\)

Step-by-step explanation:

Answer:

the answers would be: A, C, and E

Step-by-step explanation:

Answer:

A,C,E Are the answers

Step-by-step explanation:

Its a,c,e because 5.40 divided by 2 gallons is 2.70. Its C because 3.38 divided by 1.25 gallons is 2.70. Its E because 2.03 divided by 0.75 is 2.70.

Answer:

13.3-1.7=11.6

Step-by-step explanation:

Answer: So, the speed that minimizes fuel flow is 400 km/h.

Step-by-step explanation:

To determine the speed that minimizes fuel flow, we need to find the vertex of the parabola represented by the equation f = 0.0048v^2 - 0.96v + 64. The vertex of a parabola in the form of y = a(x - h)^2 + k is (h, k).

To find h, we can use the formula h = -b / (2a) = -(-0.96) / (2 * 0.0048) = 400

To find k, we can substitute h and v = 400 into the original equation:

f = 0.0048(400)^2 - 0.96(400) + 64 = 64

So, the speed that minimizes fuel flow is 400 km/h.

Answer:

9/50

Step-by-step explanation:

18 % have 7 rooms

18 % means 18 out of 100

18/100

Divide top and bottom by 2

9/50

After evaluating the limit we get the answer as 3/5.

Given the expression is : limₓ₋₋₎₀ cos 2x ₋ cos 4x/1-cos2xcos4x

= limₓ₋₋₎₀  cos2x - (2cos²2x ₋ 1)/1-cos2x(2cos²2x - 1)

= limₓ₋₋₎₀  -2cos² + cos2x +1/₋2cos³2x + cos2x + 1

let u =cos2x that is, u → 0

= limu₋₋₎₁  -2u²+u+1/₋2u³+u+1

= limu₋₋₎₁  2u + 1/2u²+2u+1

= 2+1/2×1² + 2 × 1 +1

= 3/2+2+1

= 3/5

hence we get the value as 3/5.

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An example of a geometric formula that contains pi(π) is the formula for the circumference of a circle, which is

C = 2πr. This formula is used to calculate the distance around a circle.

A geometric formula is a mathematical equation that describes a relationship between geometric figures or their properties.

Geometric formulas are used to calculate the area, perimeter, volume, surface area, and other properties of shapes such as circles, triangles, rectangles, spheres, cubes, and cylinders. For example, the formula for the area of a triangle is

A = 1/2 b×h, where b is the base of the triangle and h is its height.

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The main answer to this question is that there could be several reasons why an experiment may not produce significant results even if the research hypothesis is true.

One possible explanation could be that the sample size used in the experiment was too small, which could have resulted in insufficient statistical power to detect the true effect of the independent variable on the dependent variable. Another explanation could be that there were extraneous variables that were not controlled for in the experiment, which could have influenced the results and made it difficult to detect the true effect of the independent variable.

it is important to consider all possible factors that may affect the results of an experiment and to take steps to minimize their impact. This includes ensuring that the sample size is appropriate, controlling for extraneous variables, and using appropriate statistical tests to analyze the data. By doing so, researchers can increase the likelihood of obtaining significant results that accurately reflect the effects of the independent variable on the dependent variable.

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Ummm...person...you do know  we need to see the graph, not the answers, right?

Answer:

Step-by-step explanation:

It's the-9 one

Using the distributive property 4 (3 + 4x - 2y) is equal to (12 + 16x - 8y).

The distributive property of multiplication is one of the mathematical properties.

The distributive property states that multiplying a factor by the sum of two or more numbers or addends will yield the same result as multiplying each number separately by the same factor and adding the products together.

The implication of the distributive property is that 4 (3 + 4x - 2y) is of equal value as (12 + 16x - 8y).

4 (3 + 4x - 2y)

= (3 x 4) + (4x x 4) - (2y x 4)

= (12 + 16x - 8y)

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This is close to the given circumference of 35 4, so our answer of 17 1/2 inches for the diameter is reasonable.

The formula for the circumference of a circle is:

C = πd

where C is the circumference, d is the diameter, and π is approximately equal to 22/7.

In this problem, we are given that the circumference is 35 4 inches. Substituting these values into the formula, we get:

35 4 = (22/7) d

To solve for d, we can cross-multiply and simplify:

d = (35 4) x (7/22)

d = 35/2

d = 17 1/2

Therefore, the approximate diameter of the circle is 17 1/2 inches. We can check this answer by plugging it back into the formula for the circumference:

C = πd

C = (22/7) x (17 1/2)

C ≈ 55.0

This is close to the given circumference of 35 4, so our answer of 17 1/2 inches for the diameter is reasonable.

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Answer:

To three decimal places, The process capability index is 0.167

Step-by-step explanation:

We have to find the process capability index,

Upper specification = 16.5 ounces,

Lowe specification = 15.5 ounces

Mean = 16.0 ounces

Standard Deviation = S = 1 ounce

process capability index = (upper specification - lower specification)/6S

process capability index = (16.5 - 15.5)/6(1)

= 1/6

Process capability index = 1/6 = 0.16666667

To 3 decimal places, we get,

Process capability index = 0.167

For the normal approximation to be valid, the sample size should be at least 30, which means that n should be greater than or equal to 30.

Assuming that the probability that each spin points up or down is 0.5, and we have n spins, then the probability of exactly n of them pointing up is given by

P(n) = (n C n) * (0.5)^n = (0.5)^n, where (n C n) is the number of ways to choose n items out of n, which is simply 1.

If n is large, the probability can be approximated using the normal distribution with mean and variance given by

μ = np = n * 0.5σ² = np(1 - p) = n * 0.25T he probability can be approximated as:

P(n) ≈ N(μ, σ) = N(np, sqrt(np(1 - p))), where N is the normal distribution with mean np and variance np(1 - p). Additional conditions for the approximation to be valid:

Therefore, for the normal approximation to be valid, the sample size should be at least 30, which means that n should be greater than or equal to 30.

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