Find the slope of the line passing through (6,8) and (-10,3)

Answer:

2.8m²

Step-by-step explanation:

p = F / A

A = F / p

A = 84 / 30

A = 2.8m²

Among the mean, mode, and median, the unique one is the b. mode.

The mode is the data value that occurs many times more than other data values.

Unlike the mean that shows the average value of all the data values, the mode occurs more.  While we compute the mean by dividing the total data value by the number of data items, the mode is not computed but found as the most frequent data value.

Similarly, the median can be computed when two values occur as the middle values.

Thus, among the three measures of central tendency, the mean, the median, and the mode, the mode is the most unique since it is not computed.

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The reasonable domain for this function is \((x > 0)\) .

The collection of all feasible values for the independent variable is referred to as a function's domain.

When we substitute different values for the independent variable from the domain, the dependent variable's range refers to the set of all conceivable values for that variable.

Let the width of the rectangle be x units.

Thus as per given information length becomes x+4 units.

It is given, the area of rectangle can be expressed by the equation

\(y=x^{2} +4x\)

Now let's find domain of this function.

clearly x cannot be zero and x cannot be negative because x represents the width of the rectangle and the width of a rectangle cannot be zero or negative.

Therefore the domain of the function is

\((0,\infty)\) or x>0 .

Therefore the domain is given by the thirds option (c) x>0 .

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Answer:

290 square inches

Step-by-step explanation:

A=2(wl+hl+hw)=2·(5·5+12·5+12·5)=290

Answer:

x = 6.24

Step-by-step explanation:

x =

Tan32° = OPP/ADJ

Tan32° = x/10

0.624 = x/10

cross-multiply

x = 6.24

The value of the variable is 1. 40

we need to know that algebraic expressions are described as expressions that are made up of term, variables, constants, factors and coefficients.

these algebraic expressions are also made up of arithmetic operations.

These arithmetic operations are listed as;

From the information given, we have that;

7.5x/11=4.8/5

cross multiply the values, we get;

7.5x(5) = 4.8(11)

multiply the values

37. 5x = 52. 8

Divide both sides by the coefficient of x, we get;

x = 1. 40

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Answer:

Solution given:

The opposite of -1.5 is 1.5

note:

Just multiply by - or change its sigh .

By using Pythagoras theorem we get the height of the roof of dog house is 21 inches.

The Pythagoras theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. 

This theorem is named after the Greek philosopher Pythagoras, who lived around 570 BC. born. 

According to the question:

Given, Hypotenuse(h) = 29 inches

           Base(b) = 40/2 = 20 inches

Using Pythagoras theorem, we get

h² = b² + p²

⇒ 29² = 20² + p²

⇒ p² = 29² - 20²

⇒ p² = 841 - 400

⇒ p² = 441

⇒ p = √441

⇒ p = 21

∴ The height of the roof of dog house is 21 inches.

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Answer:

A

Step-by-step explanation:

The value of the impulse will be 30 Newton-second. And the value of the momentum will be 30 kg-m/s.

A strong and ignorant passion or drive to act is known as an impulse.

A traveling body's momentum is measured as the combination of its mass and velocity.

A 6.00 N force acts for 5.00 seconds on a 1.50 kg mass.

Then the impulse is given as

Impulse = Force x Time

Impulse = 6 x 5

Impulse = 30 N-sec

Then the value of the momentum will be

P = m x dv

We know

F = ma

6 = 1.5a

a = 4 m/s²

Then the velocity will be

dv = a x t

dv = 4 x 5

dv = 20 m/s

Then the momentum will be

P = 1.5 x 20

P = 30 kg-m/s

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The length of the fence must be 618cm

The volume that it can hold is 1,909,620 cm³

First, the fence is just equal to the circumference of the cylinder, remember that the circumfernce of a circle of diameter D is:

C = П*D

Here we use П = 3, then:

C = П*206cm

C = 3*206cm = 618cm

Now the volume, for a cylinder of diameter D and height H, the volume is:

V = П*(D/2)²*H

Replacing the values that we know we will get:

V = 3*(206cm/2)²*60cm = 1,909,620 cm³

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The vertex of point A' in the dilated triangle A'B'C' is (6, 4.5).

1. Start by calculating the distance between the vertices of the original triangle ABC:

  - Distance between A(4, 3) and B(3, -2):

    Δx = 3 - 4 = -1

    Δy = -2 - 3 = -5

    Distance = √((-\(1)^2\) + (-\(5)^2\)) = √26

  - Distance between B(3, -2) and C(-3, 1):

    Δx = -3 - 3 = -6

    Δy = 1 - (-2) = 3

    Distance = √((-6)² + 3²) = √45 = 3√5

  - Distance between C(-3, 1) and A(4, 3):

    Δx = 4 - (-3) = 7

    Δy = 3 - 1 = 2

    Distance = √(7² + 2²) = √53

2. Apply the scale factor of 1.5 to the distances calculated above:

  - Distance between A' and B' = 1.5 * √26

  - Distance between B' and C' = 1.5 * 3√5

  - Distance between C' and A' = 1.5 * √53

3. Determine the coordinates of A' by using the distance formula and the given coordinates of A(4, 3):

  - A' is located Δx units horizontally and Δy units vertically from A.

  - Δx = 1.5 * (-1) = -1.5

  - Δy = 1.5 * (-5) = -7.5

  - Coordinates of A':

    x-coordinate: 4 + (-1.5) = 2.5

    y-coordinate: 3 + (-7.5) = -4.5

4. Thus, the vertex of point A' in the dilated triangle A'B'C' is (2.5, -4.5).

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Answer:

Imma guess around 350 cubic inches

Step-by-step explanation:

I'm just going off of my hand compared to my basketball

Answer:

About 433.526 inches^3

Step-by-step explanation:

Goal: Calculate the volume of a Basketball as accurately as possible. Objective 1: Calculate the volume of a basketball.

Step One: Find the radius of the basket ball inflated at 8 PSI. To do this we used a string to measure the circumference of the basket ball arriving at a measurement of 29 inches. Next we inserted that number into the formula C = 2πR where C= circumference and R= Radius. We found that where C= 29inches, R= 4.615 inches.

Solve with Volume of a ball or sphere = 4/3*pi*radius

Answer:

15.8 cm²

Step-by-step explanation:

Please see attached photo for diagram.

We'll begin by calculating the angle A. This can be obtained as follow:

B = 56°

C = 78°

A =?

A + B + C = 180 (Sum of the angle in triangle)

A + 56 + 78 = 180

A + 134 = 180

Collect like terms

A = 180 – 134

A = 46°

Next, we shall determine the value of b by using the sine rule. This can be obtained:

Side opposite angle C (c) = 7.2 cm

Angle C = 78°

Angle B = 56°

Side opposite angle B (b) =?

b/Sine B = c/sine C

b/Sine 56 = 7.2/Sine 78

Cross multiply

b × Sine 78 = 7.2 × Sine 56

Divide both side by Sine 78

b = 7.2 × Sine 56 / Sine 78

b = 6.1 cm

Finally, we shall determine the area of the triangle. This can be obtained as follow:

Side opposite angle C (c) = 7.2 cm

Side opposite angle B (b) = 6.1 cm

Angle A = 46°

Area (A) =?

A = ½bcSineA

A = ½ × 6.1 × 7.2 × Sine 46

A = 15.8 cm²

Therefore, the area of the triangle is 15.8 cm²

Answer:

I think 10

Step-by-step explanation:

because 4 times 10 is 40 and 4 side so 10 for each side

The dimensions of the rectangle are 4.63 inches and 8.63 inches respectively.

Given the following data:

Translating the word problem into an algebraic equation, we have;

\(W = L + 4\)

To find the dimensions of the rectangle:

Mathematically, the area of a rectangle is given by the formula;

\(Area = LW\)

Substituting the values into the formula, we have;

\(40 = L(L+4)\\\\40 =L^2+ 4L\\\\L^2+ 4L -40=0\)

Solving the quadratic equation by using the quadratic formula, we have the following values;

L = 4.63 or −8.63

Length, L = 4.63 inches.

For the width:

\(W = L + 4\)

\(W = 4.63 + 4\)

W = 8.63 inches

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Answer:

a. Randomization, blocking, placebo, comparative, double-blind

Step-by-step explanation:

1. Randomization is the process of assigning the subjects in an experiment to any of the treatment groups. This was applied in this experiment when the researcher randomly divided the men and the women into treatment and control groups.

2. Blocking is introduced in an experiment in order to remove nuisance factors. The researcher introduced blocking in this experiment when he divided the men and women on the basis of gender.

3. The Placebo is the inert powder that was given to a group. It has no effect on the participants who receive it.

4. Comparative research compares the result from two groups. This is seen in this research hen the researcher compares the scores between the groups.

5. A double-blind experiment is one where neither the subjects nor the test administrators know which groups receive a treatment. This factor is present in this test.  

Answer:

first number −8 second number −15

Step-by-step explanation:

n+n−7=−23

Combine like terms.

2n−7=−23

Add 7 to each side and simplify.

2n=−16

Divide each side by two and simplify.

n=−8

Now solve for each number.

n−8−=−8 1st number

n −7 2nd number

-8−7

-15

Step 6. Check. Is −15 seven less than −8?

−8−7−=-15

−15=−15✓

Is their sum −23?

−8+(−15)=−23

−23=−23✓

Step 7. Answer the question.

The numbers are −8 and −15.

The numbers are −8 and −15.

It is given that a number is 7 less than another number and the sum of both numbers is -23.

We have to find the value of both of the numbers.

What is algebra ?

Algebra is the branch that deals with various symbols and the arithmetic operations such as multiplication , division , etc.

As per the question ;

One number is seven less than the other.

Let's assume 1st number is x.

The 2nd number will be x - 7.

Given ;

Sum of both numbers = -23

i.e.,

x  + (x −7) = −23

2x−7 = −23

2x = -23 + 7

2x = −16

x = −8

So ;

The numbers will be ;

1st number = −8

and

2nd number = x − 7

= - 8 - 7

= -15

Thus , the numbers are −8 and −15.

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The central angle measure, x, for the Baseball slice in the circle graph is 50.4 degrees.

Given that, a survey was conducted in which 2400 people were asked to name their favorite sport to watch and the table below shows their answers: Sport percentage of people are:

Football 29%

Soccer 9%

Baseball 14%

Basketball 8%

Hockey 8%

Other 32%

We need to find the central angle measure, x, for the Baseball slice in the circle graph.

For this, we need to use the formula that gives the central angle measure in degrees for a sector of a circle:

Central angle measure = (Percentage/100) × 360°

Now, using the above formula, we can calculate the central angle measure for each sport as shown below:

Football: (29/100) × 360° = 104.4°

Soccer: (9/100) × 360° = 32.4°

Baseball: (14/100) × 360° = 50.4°

Basketball: (8/100) × 360° = 28.8°

Hockey: (8/100) × 360° = 28.8°

Other: (32/100) × 360° = 115.2°

The sum of all central angle measures should be 360°, which is the measure of a full circle.

So we can check if the calculations are correct: 104.4° + 32.4° + 50.4° + 28.8° + 28.8° + 115.2° = 360°

We see that the sum is indeed 360°, so the calculations are correct. The central angle measure for the Baseball slice is 50.4°.

Therefore, the central angle measure, x, for the Baseball slice in the circle graph is 50.4 degrees.

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Answer:

Step-by-step explanation:

The first friend would get $60,000

The second friend would get $15,000

The third friend would get $30,000

The linear speed of the wheel is v=175.84 inches inches per second.

The radius of the wheel (r) is 7 inches.

We know the circumference of a circle is given by: \(\pi\times2r\)

Therefore the circumference of the wheel is \(\pi\times2\times 7\) inches

= \(14\pi\) inches

The wheel revolves at 4 revolutions per second.

Hence the wheel will go forward \(4\times14\pi\) inches in one second

That is, \(56\pi\) inches in one second.

Use the value \(\pi = 3.14\)

\(56\times 3.14\) inches

175.84 inches

Hence, the linear speed of the wheel is v=175.84 inches inches per second.

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Answer:

fruit

Step-by-step explanation:

can you help me with my question Complete the following sentence: After we explained why we needed her in the play, she and joined our rehearsal A quaffed B. acquiesced C vengeance D. wreaked

Answer:

15.6%

Step-by-step explanation:

The formula for the percent of change is

Original - new/ original

So

(74-64)/ 64 = 0.1562

Make that a percent

15.6%

The ratio between the amount of problems she finished and the problems she still had left is given by the division between those amount. Since this ratio is 9:4, if we call the amount of homework she still has left as x, we have the following relation

Solving for x, we have

She still has 20 problems left to solve. The total amount of problems is given by the sum between the problems she already finished and the problems left to solve, then, the total amount of problems is

65 problems.

Answer:

In the notation t(x):

t = name of the function

x = domain or input value

t(x) = is a range (or output) value y for a given x.

The symbol "t(x)" is read as the value of t at x, or simply t of x.

Answer:

$44

Step-by-step explanation:

Hello!

It said that 7 cameras cost $308, right?

If each camera costs the same, it means that 7 cameras with the same value equal $308.
If we use this in an equation, and if x is a variable we want to solve, it would be:

7x = 308.

If 7x = 308, it would be

308/7 =

44.

So, $44 is the answer.

Answer:

  x < -8

Step-by-step explanation:

Eliminate parentheses

  3 -2x +5 < -4x -8

Add 4x-8 to both sides

  2x < -16

Divide both sides by 2

  x < -8

Answer: 0.0622009569378

Step-by-step explanation:

If the circle is dilated by a factor of 2, the equation of the circle is: C. (x + 3)² + (y - 2)² = 18.

In Mathematics and Geometry, the standard form of the equation of a circle is represented by the following mathematical equation;

(x - h)² + (y - k)² = r²

Where:

By critically observing the graph of this circle, we have the following parameters:

By substituting the given parameters into the equation of a circle formula, we have the following;

(x - h)² + (y - k)² = r²

(x - (-3))² + (y - 2)² = 3²

(x + 3)² + (y - 2)² = 9.

By dilating with a scale factor of 2, we have:

(x + 3)² + (y - 2)² = (9 × 2)

(x + 3)² + (y - 2)² = 18

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The checkboxes are denoted by brackets ([]) for checked and 'x' for unchecked states, respectively.

The fertilizing techniques that would be most effective for each example are as follows:

1. Farm with numerous workers and sensitive crops:

a. UDP (Unchecked )

b. Precision management (Checked)

2. A gardener raising produce for a family:

a. UDP (Checked).

b. Precision management (Unchecked )

3. Company that delivers corn to 10 states:

a. UDP (Unchecked)

b. Precision management (Checked)

Please note that the checkboxes are denoted by brackets ([]) for checked and 'x' for unchecked states, respectively.

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The value of tan 2π/3 without calculator is -√3.

The value of tan 2π/3 without calculator is calculated by applying trig identities as follows;

the value of π = 180 degrees

So we can replace the value of π in the function with 180 degrees as follows;

tan ( 2π / 3) = tan (2 x 180 / 3)

tan (2 x 180 / 3) = tan (2 x 60)

tan (2 x 60) = tan (120)

tan (120) if found in the second quadrant, and the value will be negative since only sine is positive in the second quadrant.

tan (120) = - tan (180 - 120)

= - tan (60)

= -√3

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