Find the slope of the line that passes through (8,4) and (6,5)

A simple random sample are numbers equally likely to be chosen from a large population of numbers.

This is defined as the total number of people or variables present in an area over a given period of time.

Numbers are usually chosen at random from a large population for different reasons and are referred to as simple random sample because they have an equal probability of being chosen.

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A condition that is impossible to satisfy has no solution.

Mathematics can be a powerful tool for solving many problems, but there are some issues that can't be solved.

In particular, any condition that is impossible to satisfy, such as the logical statement ‘this statement is false’, has no solution in mathematics. This is because the statement can’t be proven true or false, and so it can’t be solved.

An unsolvable condition is one that cannot be solved using any combination of logical and mathematical steps.

This means that no matter how much time and effort is put in, a solution to the problem cannot be discovered.

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Using the expressions for (s-t)(x) and (s+t)(x) and evaluation (s⋅t)(-1) would gives 1.

Consider that the function s and t are defined for all real numbers x as follows

The given functions are;

s(x) = 2x - 2

t(x) = 3x

therefore, we have;

(s - t)(x) = (2x - 2) - 3x

           = -x - 2

           = -(x + 2)

(s + t)(x) = (2x - 2) + 3x

            = 5x - 2

Now, (s . t)(x) = (2x - 2)(3x)

           = 6x² - 6x

(s . t)(-1) = 6(-1)² - 6(-1)

           = 6 + 6 = 1

Hence, the value of the expression (s⋅t)(-1) would give 1.

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The value of mixed numbers 8(4/10) to decimals is 8.4.

To convert the  8(4/10) to a decimal, we need to add the whole number part (8) to the fractional part (4/10) in decimal form. In general, to convert a mixed number to a decimal, we can follow the same procedure by adding the whole number part to the decimal equivalent of the fractional part.

The decimal equivalent of a fraction can be found by dividing the numerator by the denominator. So, we need to divide the numerator (4) by the denominator (10), which gives us 0.4. Therefore, the mixed number 8(4/10) in decimal form is:

8 + 0.4 = 8.4

So the mixed number 8(4/10) is equal to 8.4 in decimal form.

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The mising angles are:

Angles ∠3 and ∠4 share the same right angled triangle, with the length of base 18 and hypotenuse of 22. We will try to find the size of angle ∠3 with sinus approach. We know that:

sin ∠3 = side opposite of angle ∠3 / hypotenuse

sin ∠3 = 18 / 22

sin ∠3 = 0.818

∠3 = 54.1°

∠3 + ∠4 + 90° = 180°

54.1° + ∠4 + 90° = 180°

∠4 = 35.9°

Angles ∠5 and ∠6 share the same right angled triangle. We will use the same approach to find the size of angle ∠6:

sin ∠6 = side opposite of angle ∠6 / hypotenuse

sin ∠6 = 19 / 33

sin ∠6 = 0.5757

∠6 = 35.15°

∠5 + ∠6 + 90° = 180°

∠5 + 35.15° + 90° = 180°

∠5 = 54.85°

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Answer: 7/25 or 28%

Step-by-step explanation:

28 (cherry) + 19 (strawberry) + 20 (orange) + 33 (lemon) = 100 (total)

so p(cherry), or the probability of getting cherry, is 28/100 (7/25)

that as a percent is 28%

Answer:

x = 1

y = 1

Step-by-step explanation:

3x + 2y = 5

3x - 2y = 1 (subtract these equations)

––––––––––––

4y = 4

divide by two

y = 1

input y = 1 the other equations

3x + 2 = 5

simplify

3x = 3

x = 1

Answer:

3x+2y=5.......(1)

3x-2y=1.........(2)

subtracting equation 1 by 2

3x+2y=5

3x-2y=1.

- +. =-

_________

3x-3y+2y-(-2y)=5-1

2y+2y=4

4y=4

y=4/4=1answer

adding equation 1 &2 we get

3x+2y=5

3x-2y=1

+

________

3x+3x+2y-2y=5+1

6x=6

x=6/6=1

:.x=1&y=1

Answer:

Find the circumference of the semicircle:

Find the outer perimeter:

Answer:

the answer is 108

Step-by-step explanation:

please stop deleting my answer and i am right i was researching it you need to multiply and add the 10+8x6

if i tell you the truth i dont even know

Answer:

12

Step-by-step explanation:

Answer:

1) 12 boxes

2) 3, 6, 12

3) 12

4) 110 degrees

Step-by-step explanation:

1) Count the rectangles. Multiply the length of the rectangle in boxes to the width of rectangle in boxes.

Length: 4 boxes

Width: 3 boxes

4 x 3 = 12

12 boxes

2)

10% of 30 is 0.1 times 30.

0.1 x 30 = 30/10 = 3

20% of 30 is 0.2 times 20.

0.2 x 30 = 30/5 = 6

40% of 30 is 0.4 times 20.

0.4 x 30 = 30/2.5 = 12

3) Count the cubes. Reminder there are 2 boxes you cannot see.

Top Layer: 2

Middle Layer: 4

Back Bottom Layer: 4

Front Bottom Layer: 2

2 + 4 + 4 + 2 = 12

4) I cannot see the semicircle clearly, but I do know that a circle is 360 degrees. A semicircle, half of a circle, is 180 degrees.

180/18 (The angle of each section)

10

11 Sections

10 x 11 = 110

Considering the definition of an equation and the way to solve it, Hailey's age is 18 years.

An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.

The members of an equation are each of the expressions that appear on both sides of the equal sign while the terms of an equation are the addends that form the members of an equation.

The solution of a equation means determining the value that satisfies it. In this way, by changing the unknown to the solution, the equality must be true.

To solve an equation, keep in mind:

Being "x" the age of the youngest child, then you have:

On the other hand, you know that the sum of their ages is 66. Then, the equation is:

x + x + 1 + x + 2 + x + 3 = 66

Solving:

4x + 6 = 66

4x = 66 - 6

4x = 60

x= 60 ÷ 4

x= 15

Remembering that "x + 3" is Hailey's age, then her age is calculated as: x+3= 15 +3= 18

Finally, Hailey's age is 18 years.

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Yes, there will be a collision between Speedy Sue's car and the slow-moving van in the tunnel. The collision will occur at a distance of approximately 146.5 meters into the tunnel, and the time of the collision will be around 7.72 seconds.

To determine whether there will be a collision, we need to calculate the time it takes for Speedy Sue to reach the van and compare it with the time it takes for the van to exit the tunnel.

First, we calculate the time it takes for Sue to reach the van. The relative velocity between Sue and the van is (33.0 m/s - 5.40 m/s) = 27.6 m/s. Using the formula time = distance / velocity, the time it takes for Sue to reach the van is approximately 175 m / 27.6 m/s ≈ 6.34 seconds.

Next, we calculate the time it takes for the van to exit the tunnel. The distance the van needs to travel to exit the tunnel is the sum of the distance from its initial position to the end of the tunnel and the distance Sue needs to travel to reach the end of the tunnel. The total distance is 175 m + 175 m = 350 m. The velocity of the van is 5.40 m/s. Using the formula time = distance / velocity, the time it takes for the van to exit the tunnel is approximately 350 m / 5.40 m/s ≈ 64.81 seconds.

Since 6.34 seconds is less than 64.81 seconds, Sue will collide with the van before it exits the tunnel. To determine the distance into the tunnel where the collision occurs, we subtract the distance Sue travels in 6.34 seconds from the initial distance between Sue and the van. The distance Sue travels is (33.0 m/s - 1.90 m/s^2 * 6.34 s^2 / 2) * 6.34 s ≈ 146.5 meters.

Therefore, the collision between Sue's car and the van will occur at a distance of approximately 146.5 meters into the tunnel, and the time of the collision will be around 7.72 seconds.

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Answer:

I think D. 6 days

Step-by-step explanation:

let me know if im wrong..

Answer:

C

Step-by-step explanation: no

Answer: Im pretty sure its a bar graph.

Step-by-step explanation:

Answer:

i believe the answer is c

Step-by-step explanation:

Answer:

c) 45/60

Step-by-step explanation:

Given problem,

→ 5/6 × 9/10

Let's solve the problem,

→ 5/6 × 9/10

→ (5 × 9)/(6 × 10)

→ 45/60

Hence, option (c) is correct.

Answer:

I think the answer should be two and a half pieces

Answer: the perimeter of the garden is 24 and the area of the garden is 32

Step-by-step explanation:

Perimeter: 4 + 4 + 8 + 8 = 24

Area: 4 x 8 = 32

We can fit 25 notebooks on the space.

Now, According to the question:

The width of the notebook is 2/5

The length of the space is 10 inches.

To find the number of the notebooks can put there divide 30 by 2/3

Number of the books : \(\frac{10}{\frac{2}{5} }\) = 10 × \(\frac{5}{2}\)

=> 50/2 = 25

The number of the notebook is 25

We can fit 25 notebooks on the space.

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Answer:

0.18432

Step-by-step explanation:

Calculated using Desmos Graphing calculator.

Solve from left to right, paying order to order of operations, and you will get your answer.

Answer:

x = 4, y = 5.

Step-by-step explanation:

4x-2=3y-1

y+3=3x-4

Rearranging:

4x - 3y =  1       (A)

-3x + y = -7      (B)

Multiply  B by 3:

-9x + 3y = -21   (C)
Adding A and C:

-5x = -20

x = 4

Substitute for x in equation A:

4(4) - 3y = 1

3y = 15

y = 5.

The sum of the angle measures of the polygon is 540°, the value of x is 5.

The sum of the angle measures of the polygon is 540°.

We know that the sum of the interior angles of a polygon of n sides = (n – 2) × 180°. = 3× 180°= 540°

If a polygon has x sides, then the sum of its angle measures can be found using the formula:

Therefore, for a polygon with x sides, the equation becomes:

⇒(x-2) * 180° = 540°

Solving for x, we get:

⇒x = (540° + 360°) / 180° + 2

⇒x = 3 + 2

⇒x = 5

So, the polygon has 5 sides.

Therefore, the value of  x is 5.

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Answer:

Dilation. a transformation in which a figure grows larger. Dilation may be with respect to a point (dilation of a geometric figure) or with respect to the axis of a graph (dilation of a graph). Center of Dilation. the center of dilation is a fixed point in the plane.

Step-by-step explanation:

Step-by-step explanation:

Given that

To find

So, according to the question

we have,

         (0,40) and (15,70)

We have to find the equation of line

So, we know that

               y = mx + c, ---------------(1)

From graph,

           c = 40 and

           m = slope (we have to find it)

We kwon the slope of any two point

      m = \(\frac{y_2-y_1}{x_2-x_1}\)

Where,

        x₁ = 0 , and y₁ = 40

        x₂ = 0 , and y₂ = 40        

So,

      m = \(\frac{y_2-y_1}{x_2-x_1}\)

      m = \(\frac{70-40}{15-0}\)

      m = \(\frac{30}{15}\)

      m = 2

Now putting the all values in equation (1)

We will get,

               y = mx + c, ---------------(1)

               y = 2x + 40

Answer:

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To solve the integral ∫(9x + 11)e^x dx using integration by parts, we'll follow the formula:

\(∫u v' dx = uv - ∫v u' dx\)

Let's assign u = 9x + 11 and v' = e^x. We can find the derivatives:

u' = 9

\(v = ∫e^x dx = e^x\)

Now, we can substitute these values into the integration by parts formula:

\(∫(9x + 11)e^x dx = u v - ∫v u' dx\\= (9x + 11) e^x - ∫e^x * 9 dx\\= (9x + 11) e^x - 9 ∫e^x dx\\= (9x + 11) e^x - 9e^x + C\)

Therefore, the solution to the integral ∫(9x + 11)e^x dx using integration by parts is (9x + 11)e^x - 9e^x + C, where C is the constant of integration.

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