What is the value of x?

The equation y = - 2x + 4 matches the line

How to find the equation?

The line passes through two points .

\((x_1, y_1) = (2, 0)\\\\(x_2, y_2) = (0, 4)\)

We know that slope (m) is given by,

\(m =\frac{y_2 -y_1}{x_2 -x_1} \\\\m =\frac{4-0}{0-2} \\\\m= -\frac{4}{2} \\\\m= -2\)

We know the slope- intercept form of an equation is:

y = mx+ c    ----(1)

Let us substitute the point  \((x_1, y_1)\)  and m in (1)

y = mx+ c

0 = -2(2) +c

c = 4

Let us substitute c and m in (1)

The slope- intercept form of the equation is:

y = -2x + 4

To learn more about slope - intercept form, refer:

https://brainly.com/question/1884491

#SPJ13

Answer:20 = (3.5+4.5)h2

Step-by-step explanation: I just did it on imagine math

The height of the trapezoid is 5 feet

What is a trapezoid?

The Trapezoid is a 4 sided polygon. Two sides of the shape are parallel to each other and they are termed as the bases of the trapezoid. The non-parallel sides are known as the legs or lateral sides of a trapezoid.

There are three types of trapezoids , and those are given below:

The area of the Trapezoid is given by

Area of Trapezoid = ( ( a + b ) h ) / 2

where , a = shorter base of trapezium

b = longer base of trapezium

h = height of trapezium

Given data ,

The area of the trapezoid = 20 feet²

The length of the shorter base = 3.5 feet

The length of the longer base = 4.5 feet

Let the height of the trapezoid be = h

Now ,

The area of the trapezoid is given by the equation A = ( ( a + b ) h ) / 2

Substituting the values of A , a and b , we get

20 = ( 3.5 + 4.5 ) h / 2

Solving for h , we get

h = ( 20 x 2 ) / ( 3.5 + 4.5 )

h = 40 / 8

h = 5 feet

Therefore , the height h is 5 feet

Hence , the height of the trapezium is 5 feet

To learn more about trapezium click :

https://brainly.com/question/12221769

#SPJ1

The formula for the average rate of change to get is:

average rate of change = (y2 - y1) / 5

What is the average rate of change?

The average rate of change means the average rate at which one quantity is changing with respect to something else changing.

To find the average rate of change of a function f(x) over an interval [a, b], we can use the formula:

average rate of change = (f(b) - f(a)) / (b - a)

In this case, we are given the function f(x), but we don't have a formula for it. Instead, we are given the interval [2, 7] over which we want to find the average rate of change. So, we can use the values of the function at x = 2 and x = 7 to compute the average rate of change.

Let's assume that we have the function f(x) and evaluate it at x = 2 and x = 7 to get:

f(2) = y1

f(7) = y2

Then, we can use the formula for the average rate of change to get:

average rate of change = (f(7) - f(2)) / (7 - 2) = (y2 - y1) / 5

So, to find the average rate of change of f(x) over the interval 2 ≤ x ≤ 7, we need to know the values of f(2) and f(7). If these values are given or can be calculated, we can use the formula above to find the answer.

Hence,  the formula for the average rate of change to get is:

average rate of change = (y2 - y1) / 5.

To learn more about the average rate of change visit:

https://brainly.com/question/8728504

#SPJ1

To estimate the justified trailing price-to-earnings ratio (P/E) for the acquisition target, we need to consider various factors such as the dividend growth rate, required rate of return (Ke), dividend payout ratio, net profit margin.The estimated justified trailing P/E ratio for the acquisition target is approximately 15.354.

To estimate the justified trailing P/E (Price-to-Earnings) ratio for the acquisition target, we can use the Dividend Discount Model (DDM) approach. The justified P/E ratio can be calculated by dividing the required rate of return (Ke) by the expected long-term growth rate of dividends. Here's how you can calculate it:
Step 1: Calculate the Dividend Per Share (DPS):
DPS = Trailing EPS * Dividend Payout Ratio
DPS = $5.67 * 75.0% = $4.2525
Step 2: Calculate the Expected Dividend Growth Rate (g):
g = Dividend Growth Rate * ROE
g = 3.5% * 15.1% = 0.5285%
Step 3: Calculate the Justified Trailing P/E:
Justified P/E = Ke / g
Justified P/E = 8.1% / 0.5285% = 15.354
Therefore, the estimated justified trailing P/E ratio for the acquisition target is approximately 15.354. This indicates that the market is willing to pay approximately 15.354 times the earnings per share (EPS) for the stock, based on the company's growth prospects and required rate of return.

Learn more about dividend payout ratio here
https://brainly.com/question/31965559

#SPJ11

Answer:

R=42

Step-by-step explanation:

hoped this helps :D

Answer:

answer: 2

Heres the answer lol!

Answer: C

Step-by-step explanation:

Answer:

a) \(p \geq 60\,ft^{2}\), b) \(w \geq 36\,ft\), c) \(1\,qt \leq q \leq 2\,qt\), d) \(0.70\cdot p + 0.10\cdot w + 8\cdot q \leq 65\)

Step-by-step explanation:

In this question we proceed to translate each sentence into mathematical language and, more specifically, inequations:

a) At least 60 square feet of plywood for the surface

Let \(p\) the surface area of plywood, measured in square feet, and the inequation is:

\(p \geq 60\,ft^{2}\) (Eq. 1)

b) At least 36 feet of wood planks for the frame of the dog house

Let \(w\) the total length of wood planks, measured in feet, and the inequation is:

\(w \geq 36\,ft\) (Eq. 2)

c) Between 1 and 2 quarts of paint

Let \(q\) the total capacity of paint, measured in quarts, and the inequation is:

\(1\,qt \leq q \leq 2\,qt\) (Eq. 3)

d) Han's budget is $ 65. Plywood costs $ 0.70 per square foot, planks of wood cost $ 0.10 per foot and paint costs $ 8 per quart.

Dimensionally speaking, we understand that cost equals unit cost multiplied by physical variable (i.e. Area, length or capacity). Let \(p\), \(w\) and \(q\) the surface area of plywood, the total length of wood planks and the total capacity of paint, respectively. The sentence is represented by the following inequation:

\(0.70\cdot p + 0.10\cdot w + 8\cdot q \leq 65\) (Eq. 4)

Write an inequality to represent each constraint(material and cost)

Plywood:

plywood ≥ 60 square feet

Planks:

planks ≥ 36 feet

Paints

1 quarts ≤ paints ≤ 2 quarts

Inequality to represent cost constraint

Plywood = $0.70

planks of wood = $0.10

paint costs $8

Total cost = $65

0.70 × p + 0.10 × pw + 8 × Pa ≤ 65

0.70p + 0.10pw + 8pa ≤ 65

Read more:

https://brainly.com/question/11067755

We will see that the linear equation that passes through the two given points is:

y = 4x + 28

So the y-intercept is y = 28.

First, we need to find the linear equation that passes through the two given points. Remember that for a line that passes through two points (x₁, y₁) and (x₂, y₂), the slope is:

m = (y₂ - y₁)/(x₂ - x₁)

Here our line passes through (-8,-5) and (10, 67), then the slope is:

m = (67 + 5)/(10 + 8) = 4

So we can write:

y = 4*x + b

To find the value of b we can use the point (-8,-5), replacing these values we get:

-5 = 4*-8 + b

-4 + 4*8 = b

28 = b

So the y-intercept is 28.

Learn more about linear equations:

https://brainly.com/question/1884491

#SPJ1

The equation of line which contains points (2,4) and (0,-2) will be y = 3x - 2.

It is given that a line contains points (2,4) and (0,-2).

We have to find out the equation of the line.

What is the equation of line in slope intercept form ?

The equation of line in slope intercept form is y = mx + c , where m is the slope and c is the y-intercept.

As per the question ;

Line contains points (2,4) and (0,-2)

We know that slope intercept form of line is ;

y = mx + c

∴  (2,4) and (0,-2) must satisfy the equation because the line contains them.

So ,

For x = 2 and y = 4 ;

the equation y = mx + c becomes ;

4 = 2m + c ------ ------ ------ ---- (1)

Also ;

For x = 0 and y = -2 ;

the equation y = mx + c becomes ;

-2 = 0 + c

or

c = -2

Put the value of c in equation 1 ;

i.e.,

4 = 2m - 2

2m = 6

or

m = 3

So ,

the equation of line which contains points (2,4) and (0,-2) will be ;

y = (3 × x) - 2

y = 3x -2

Thus , the equation of line which contains points (2,4) and (0,-2) will be y = 3x - 2.

To learn more about slope intercept form of line click here ;

https://brainly.com/question/25100483

#SPJ4

Answer:

50

Step-by-step explanation:

15 is 30% of 50

Astronauts brought back 500 lbs rock samples from the moon they brought back 227 kilograms of sample. The correct option is D.

Who, in brief, is an astronaut?

As the astronaut brought 550 lbs sample,

2.20lbs = 1 kg.

1 lbs = 1/2.20

1 lbs = 0.45

so, 500 lbs nearly implies 227kgs.

Thus, the correct option is D.

Learn more about Astronauts

brainly.com/question/11244838

#SPJ4

Let's consider a right triangle with an angle θ such that sin θ = x. By definition,  To prove the identity cos(sin^⁻¹x) = √(1 - x^2), we can use the properties of trigonometric functions and inverse trigonometric functions.

Let's consider a right triangle with an angle θ such that sin θ = x. By definition, sin^⁻¹x represents the angle whose sine is x. In the triangle, the side opposite to θ has length x, and the hypotenuse has length 1.

Using the Pythagorean theorem, we can find the length of the adjacent side, which is √(1 - x^2). This represents the cosine of the angle θ.

Therefore, we have cos(sin^⁻¹x) = √(1 - x^2), which proves the given identity.

To elaborate further, we can use the definition of sine and cosine in terms of the sides of a right triangle. The sine of an angle θ is defined as the ratio of the length of the side opposite to θ to the length of the hypotenuse. In this case, sin θ = x.

Using the Pythagorean theorem, we find that the length of the adjacent side is √(1 - x^2). This length represents the cosine of the angle θ.

Thus, we have cos(sin^⁻¹x) = √(1 - x^2), demonstrating the validity of the given identity.

Learn more about Pythagorean theorem here:

https://brainly.com/question/14930619

#SPJ11

The mathematical term best defined as two lines that intersect each other at 90° angles is "perpendicular lines." Perpendicular lines are lines that meet or cross each other at right angles (90°).

When two lines are perpendicular, their slopes are negative reciprocals of each other.

The mathematical term that is best defined as two lines that intersect each other at 90° angles is "perpendicular".

When two lines are perpendicular, they form four right angles where they intersect.

In geometry, perpendicular lines are very important, as they are used in many different types of proofs and calculations.

For similar question on angles.

https://brainly.com/question/21025121

#SPJ11

The equation will be: 4.65r + 4.95p = 874.80

The total cost of gas will be sum of the individual costs of both the types of gas. Firstly, calculating cost of regular and premium gas followed by forming the equation.

The total cost of regular gas = Amount of regular gas × Cost of regular gas per gallon

The total cost of regular gas = 4.65 × r

The total cost of premium gas = Amount of premium gas × Cost of premium gas per gallon

The total cost of regular gas = 4.95 × p

We are given overall spending = 874.80

Forming the equation -

Total cost of regular gas + total cost of premium gas = overall spending on gas

4.65r + 4.95p = 874.80

Hence, the equation that models the situation is 4.65r + 4.95p = 874.80.

Learn more about equations -

https://brainly.com/question/27985546

#SPJ4

a. Shade the complement of the intersection of A and B.

b. Shade the complement of the union of A and B.

c. Shade the union of the intersection of A and C with B.

a) To shade the area representing the event (A∩B)', we start by shading the intersection of A and B. Then, we take the complement of this shaded area, which includes all the regions outside of A∩B.

b) To shade the area representing the event (A∪B)', we first shade the union of A and B. Then, we take the complement of this shaded area, which includes all the regions outside of A∪B.

c) To shade the area representing the event (A∩C)∪B, we start by shading the intersection of A and C. Then, we shade the region representing the union of this intersection with B.

Please note that as a text-based platform, I cannot directly show you a visual representation of the Venn diagrams. It would be helpful to refer to a Venn diagram or use an online tool to visualize the shaded areas accurately.

To know more about Venn diagrams refer here:

https://brainly.com/question/14344003

#SPJ11

Answer: ≈ 185.73009

Step-by-step explanation:

area of square: \(length^{2}\)

area of circle: \(\frac{radius^{2} * \pi }{y}\)

length: 15

radius = diameter/2

radius: 5

area of square - area of circle =  area between square and circle:

\(15^{2} - \frac{5^{2} * \pi }{2} = 225 - \frac{25\pi}{2}\) ≈ 185.73009

hope it helps!

Please mark as brainliest.

Answer:

38

Step-by-step explanation:

Count the unit squares for each side, starting from the left it's 7, 10, 7, 2, 2, 6, 2, and 2

Now add them together:

7 + 10 + 7 + 2 + 2 + 6 + 2 + 2 = 17 + 9 + 8 + 4 = 26 + 12 = 38

Answer: 38 units

Step-by-step explanation: Perimeter is asking for the total length of all the sides that make up a figure. The top border is 10 units, the two outer sides are 7 each (14 in total), if you add all the downward facing edges you get another 10 units, and the two inside sides are 2 units each (4 in total).

10+14+10+4 = 38

Answer:

f(6) = -2(6)² + 6(6) + 1

f(6) = -72 + 36 +1

f(6) = -35

Answer:

−107

Step-by-step explanation:

−107 just did it

Answer:

Step-by-step explanation:

X/5+x/2=14, solve for x

x/5 + x/2 = 14

7/10x = 14

x = 14 : 7/10

x = 14 × 10/7

x = 20

------------------

check

20/5 + 20/2 = 14

4 + 10 = 14

14 = 14

the answer is good

False. If the means of two groups are the same, it does not necessarily mean that the underlying distributions of the two groups are the same.

The statement is false. While the means of two groups provide information about the central tendency of the data, they do not provide a complete description of the underlying distributions. Two groups can have the same mean but exhibit different distributions in terms of shape, spread, or other characteristics.

For example, consider two groups: Group A and Group B. Group A has a normal distribution centered around the mean, while Group B has a bimodal distribution with two distinct peaks. Despite having the same mean, the distributions of Group A and Group B are fundamentally different.

The mean only represents the average value and does not capture the full picture of the data. Other statistical measures such as variance, skewness, and kurtosis provide information about the shape, spread, and symmetry of the distributions, respectively. To determine if the underlying distributions of two groups are the same, additional analyses such as hypothesis testing or graphical comparisons are necessary. Therefore, having the same means does not guarantee that the underlying distributions of the two groups are the same.

Visit here to learn more about bimodal distribution :

brainly.com/question/12503475

#SPJ11

Answer:

Step-by-step explanation:

4 - 2(x + 7) = 3(x + 5)                  Remove the brackets.

4 - 2x - 14 = 3x + 15                    Combine

-2x- 10 = 3x + 15                         Add 2x to both sides

- 10 = 2x + 3x + 15                      Combine

-10 = 5x + 15                               Subtract 15 from both sides

-10 - 15 = 5x                                Combine the left side      

-25 = 5x                                       Divide by 5

-25/5 = 5x/5

x = - 5    

The approximate chances of a randomly selected number from the given range being prime is approximately c. 1 / (2.30). Therefore, the answer is option c. 1/(2.3).

To determine the approximate chances that a randomly selected integer from the range of 2 to 10,000,000,000 is prime, we can consider the Prime Number Theorem.

The Prime Number Theorem states that the number of primes less than or equal to a given number x is approximately proportional to x divided by the natural logarithm of x.

Using the given hint, we can approximate ln(10) as 2.30.

So, the approximate chances of a randomly selected number from the given range being prime is approximately:

1 / (2.30)

Therefore, the answer is option c. 1/(2.3).

for such more question on range

https://brainly.com/question/16444481

#SPJ8

Answer:

Step-by-step explanation:

Option C is the correct answer

The earth is 40000 kilometers around. There is no need to round off because the circumference already contains significant figures.

How do I calculate a circle's circumference?

A circle's diameter is multiplied by to determine its circumference (pi). You can also determine the circumference by multiplying 2radius by pi (=3.14).

Given: theta angle (central) = 7.2°; arc length S = 800 km

This indicates that an 800 km long arc is extending a circle with a 7.2° center angle ( earth in this case).

By definition, "An arc's length is a portion of a circle's diameter."

Therefore, we must first establish what percentage of the circle the specified arc length represents.

360° is a complete circle.

Thus, the fraction equals 7.2°/360°, or 1/50.

As a result, the stated arc length (800km) with a 7.2° central angle is 1/50th of the entire circle.

Thus, the whole circumference is 800 x 50, or 40000 km.

Alternately, you can calculate circumference using the formula below:

360° center angle x arc length as the circumference (theta)

Values substituted: circumference 800 = 360° 7.2°

circumference = 360°, 800°, and 7.2°, or 40000 kilometers

Therefore, the earth is 40000 kilometers around. There is no need to round off because the circumference already contains significant figures.

Learn more about Circumference

https://brainly.com/question/27447563

#SPJ4