Find the length of side x in simplest radical form with a rational

denominator.

45°

V5

45°

X

Step-by-step explanation:

x=p-2.1/2

p=perimeter

Answer:

\(y = \frac{1}{3} x - 7\)

The value of p when q is 2 is 1

Inverse variation is the relationships between variables that are represented in the form of y = k/x, where x and y are two variables and k is the constant value.

This means that has x increases y will decrease and vice versa.

If p is inversely proportional to q , then p = kq

when p = 2, q = 4

2 = k4

k = 2/4

k = 1/2

When q = 2

p = 1/2 × 2

p = 1

Therefore the value of p is 1

learn more about inverse variation from

https://brainly.com/question/13998680

#SPJ1

Let's say we have the following figure.

To find the sum area, we just have to sum all the values/variables for each area.

Then, we reduce like terms.

That way we would have the area of the figure using sums.

On the other hand, we can use products to find the area, to do it, we have to use an expression for the base, and an expression for the height, as the image below shows.

The red part shows the base and height we have to multiply.

Answer:

after 42 months he has $2,696 in interest

compound quarterly is equivalent to annual rate of 4.835%

Part b

after 42 months he has $2,713 compound continuously

the diffrence is $17  

15000 + 4.75% · 42  compound quarterly is $2,696

15000 + 4.75% · 42 compound continuously is $2,696

Answer:

Step-by-step explanation:

Stop posting FLVS questions on this website. It is illegal, and you can be expelled from the program. :)

The correct answer is that the data set {3, 7, 4} is represented in the given histogram.(option-a)

The given histogram represents the number of children in each age group who need to travel to school. Since the histogram has only three bars, we can conclude that there are only three age groups.

The first bar represents children aged 5-10, of which there are 3. The second bar represents children aged 11-13, of which there are 7. The third bar represents children aged 14-18, of which there are 4.

Therefore, the data set that is represented in the histogram is:

{3, 7, 4}

None of the other data sets given match the values in the histogram. The first data set has duplicate values and is not sorted by age group. The second data set includes ages that are not represented in the histogram. The third data set has values for ages 6, 11, 12, 13, 14, 15, 17, and 18, but the histogram does not have bars for all those ages. (option-a)

For such more questions on histogram

https://brainly.com/question/32761368

#SPJ8

Answer:

The answer is 7^15/7^14

Step-by-step explanation:

Multiplying powers of the same base we keep one base and add the exponents

\( \frac{7 {}^{8 + 3 + 4} }{7 {}^{9 + 5} } \\ \frac{ {7}^{15} }{ {7}^{14} } \)

Now Dividing powers of the same base we keep one base and subtract the exponents

\( = {7}^{15 - 14} \\ = {7}^{1} \)

simple 7

The image vertices of the polygon  K′L′M′N′ are K′(0, 0), L′(−2, 5), M′(5, 5), N′(3, 0).

option A is the correct answer.

We have,

To rotate a point 90° clockwise, we can use the following formula:

(x', y') = (y, -x)

where (x, y) are the coordinates of the original point and (x', y') are the coordinates of the rotated point.

Using this formula, we can find the image vertices of K′L′M′N′ as follows:

K′(0, 0) remains the same as it is the origin of the coordinate system.

L′(−2, 5):

To find the coordinates of L′, we can use the formula as follows:

(x', y') = (y, -x) = (2, -5) ⇒ (-5, -2)

Then,

We can subtract 5 from the x-coordinate and add 2 to the y-coordinate to get L′(−2, 5).

M′(5, 5): To find the coordinates of M′, we can use the formula as follows:

(x', y') = (y, -x) = (-5, -5) ⇒ (5, 5)

Then, we can swap the x and y-coordinates to get M′(5, 5).

N′(3, 0):

To find the coordinates of N′, we can use the formula as follows:

(x', y') = (y, -x) = (-3, 0) ⇒ (0, 3)

Then, we can swap the x and y-coordinates to get N′(3, 0).

Therefore,

The image vertices of the polygon  K′L′M′N′ are K′(0, 0), L′(−2, 5), M′(5, 5), N′(3, 0).

Learn more about polygons here:

https://brainly.com/question/24328525

#SPJ1

Answer:

its b  i took the test

Step-by-step explanation:

the other persons wrong the "formula" for that it

(x, y) to (y,-x)

The worth of the old scanner machine in the open market will be $86601.60.

To calculate the worth of the scanner on the open market, it's important to compare the values of the machines.

The calculation of the worth of the scanner goes thus:

Let the worth be represented by x.

x(A/P,10%, 3) - 350000 + 150000(A/F, 10%, 3) = 2000000(A/P, 10%, 3) + 270000 + 875000(A/F, 10%, 3)

= 0.4021x - 350000 + 45315 = -804200 + 270000 + 264337.50

0.4021x = 34822.50

Divide by 0.4021

x = 34822.60/0.4021

x = 86601.60

Therefore, the worth is $86601.60.

Learn more about open market on:

https://brainly.com/question/1426204

The answer to the given question is length is 17m and width is 6m

Given that a rectangle's length is 7 meters less than its width.

And also given the perimeter of the rectangle is 46 meters.

We know that the rectangle's perimeter is twice the sum of its length and width.

l - length of the rectangle

w - width of the rectangle

P - perimeter of the rectangle

Then we have P = 2 × (l + w)

Given that a rectangle's length is 7 meters less than its width.

⇒ l = 4 × w - 7

Given the perimeter of the rectangle is 46 centimeters.

⇒ 2 × ( l + w) = 46

⇒ 2 × (4w - 7 + w) = 46 (using the value of length given in terms of width)

⇒ 4w - 7 + w = 23 (dividing by 2 on both the sides)

⇒ 5w - 7 = 23

⇒ 5w = 23 + 7

⇒ 5w = 30

⇒ w = 6 (dividing both sides by 5)

Using the width value in the length equation, we get

l = 4 × 6 - 7

⇒ l = 24 - 7

⇒ l = 17

Therefore, The rectangle is 17 meters in length and 6 meters in width.

Learn more about Perimeters here:

https://brainly.com/question/24571594

#SPJ9

A Sinusoid is a cyclic function. The equation of the sinusoid shown in the graph is y=2Cos(2πx/3).

The general equation of the sinusoid shown is given by the following equation,

\(y = a\ \cos\left(\frac{2\pi x}{b}\right)\)

where a is the amplitude of the graph, and b is the length of a complete cycle.

In the given graph the amplitude of the function is 2, while the length of the cycle is (2π/3). Therefore, The equation of the sinusoid shown in the graph can be written as,

\(y = 2 \cos\left(\dfrac{2\pi x}{3}\right)\)

Hence, the equation of the sinusoid shown in the graph is y=2Cos(2πx/3).

Learn more about Sinusoid Function:

https://brainly.com/question/12060967

#SPJ1

Answer:

C! y=2cos(3x)

Step-by-step explanation:

The value of P(t) is \(\frac{dP}{dt} = k \cdot \sqrt{P}\)  and there will be approximately 220 fish in the lake after 1.6 years.

(a) This is a separable differential equation and can be solved using the separation of variables. We have:

\(\frac{dP}{dt}\) = k * \(\sqrt{P}\)

\(\frac{dP}{\sqrt{P}}\) = k * dt

Integrating on both sides:

2 * \(\sqrt{P}\) = k * t + C1

where C1 is a constant of integration. Solving for P, we have:

P(t) = \((k * t + C1)^2\) / 4

Using the initial condition P(0) = C, we can solve for C1:

C = \((C1)^2\) / 4

C1 = 2 * \(\sqrt{C}\)

Therefore, we have:

\(\frac{dP}{dt} = k \cdot \sqrt{P}\)

(b) There will be approximately 220 fish in the lake after 1.6 years.

Using the values given, we have:

C = 102

t = 7 months = 7/12 years = 0.5833 years

P(7 months) = 155

We can use this information to solve for k:

\(155 =\) \(\frac{(k * 0.5833 + 2 *\sqrt{102})^2}{4}\)

\(k = \frac{(4 * 155 - 4 * 2^2 *\sqrt{102})}{0.5833^2}\)

Now that we have k, we can find P(1.6 years):

\(P(t) = \frac{\left( k \cdot t + 2 \cdot \sqrt{C} \right)^2}{4}\)

By solving, the final value of k is approximately = 10.04

Substituting the value of k, we get:

P(1.6 years) = \(\frac{\left( 10.04 \cdot 1.6 + 2 \cdot \sqrt{102} \right)^2}{4}\)

By evaluating the expression, we get:

P(1.6 years) = 220.72

So, there will be approximately 220 fish in the lake after 1.6 years.

To learn more about differential equations:

https://brainly.com/question/1164377

#SPJ4

Answer:

Kevin's age = 13

Step-by-step explanation:

Now we have to,

→ Find Kevin's age, if his father's age is 44.

Let us assume that,

→ Kevin's age = k

Forming the equation,

→ 3k + 5 = 44

Then the value of k will be,

→ 3k + 5 = 44

→ 3k = 44 - 5

→ 3k = 39

→ k = 39/3

→ [ k = 13 ]

Hence, the value of k is 13.

The age of Kevin is 13 years.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Given that, Kevin's father age is 5 years more than three times Kevin's age.

Let the age of Kevin be k.

Then, the age of Kevin's father is 3k+5

Kevin's father is 44 years old

Thus, 3k+5=44

3k=39

k=13

Therefore, the age of Kevin is 13 years.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ5

Answer:-3.5

Step-by-step explanation:

The length of the base of the triangle is 8 yards whose height is half of 28 yards.

A triangle is a two-dimensional geometric shape that is formed by three straight lines that connect three non-collinear points. These three lines are called the sides of the triangle, and the points where the sides meet are called the vertices of the triangle.

The following formula provides the area of a triangle:

Area = (1/2) x base x height

We are given that the height of the triangle is half of 28 yards, which is:

height = 1/2 x 28 = 14 yards

We are also given that the area of the triangle is 56 square yards. Substituting these values into the formula for the area, we get:

56 = (1/2) x base x 14

Simplifying this equation, we get:

56 = 7 x base

Dividing both sides by 7, we get:

base = 8

Therefore, the length of the base of the triangle is 8 yards.

The vertices are typically denoted by letters, such as A, B, and C. The three angles formed by the sides are also part of the triangle.

To know more about triangle visit:

https://brainly.com/question/2773823

#SPJ1

Answer:

All of the above

Step-by-step explanation:

In this question, we want to select which of the options can enhance the integrity of financial statements preparations and disclosure.

The correct answer is the last option which is all of the above

The last option is correct because each of the individual options above it will enhance the integrity.

A financial statement with integrity is one which is audited by the CPA, prepared in an environment with strict interval control and overall the people who are in charge of preparing it are experienced people

The exponential decay model that represents the forest cover in the world t years after 1990 is:

We can use the exponential decay model to represent the decrease in the world forest cover over time:

y = a e^(kt)

where

y is the forest cover in 10^6 hectares,

t is the time ,

a is the initial forest cover,

k is the decay rate.

Solving for a and k:

where a = 4168 million hectares  (given)

When t = 20  the forest cover was 4033 million hectares.

y = a e^(kt)

y = 4033 = 4168 e^(k*20)

4033/4168 = e^(k*20)

Taking the natural logarithm of both sides:

ln(4033/4168) = k*20

Solving for k, results to

k = ln (4033 / 4168) / 20

k = -0.00165 (to 5 dp)

therefore we can say that, the decay model is:

Learn more about exponential decay at

https://brainly.com/question/29629074

#SPJ1

Answer:

10/99

Step-by-step explanation:

40/396

40÷4/396÷4

10/99

The amount that should be invested today is $544.56.

Continous compounding is when the amount invested and the interest that has already been earned increase infinitely over a period of time. Continous compounding means that the value of the investment increases at every moment of the investment period.

The formula that can be used to determine the amount to be invested today is:

A = FV / (  e^r x N)

Where:

$5000 / [(2.718^0.02) X 9] = $544.56

To learn more about continuous compounding, please check: https://brainly.com/question/26476328

#SPJ1

Answer:

Step-by-step explanation:

6x + 120 = 168

6x = 48

x = 8

Answer:

8

Step-by-step explanation:

6(x+20)=168. Substitute the x variable for 8

Then do your PEMDAS, which parenthesis come first, so 8+20= 28

Now multiply 28 by 6 and you get 168.

So your answer is 8.

Answer:

Yes a dilation of two will make the two figures the same. This is because the bigger figure has side lengths that are divisible by the smaller figures length. and once we divide we figure out that every side from the large figure is two times longer than the small figure.

Step-by-step explanation:

Answer:

1. = 8

2. =40

3. =37

Step-by-step explanation:

1. x = √(17² - 15²) = 8

2. x =√(9² +41²) = 40

3. x =√(12² + 35²) = 37

please mark brainliest

25x10⁶ = 2.5x10⁷=25000000

#Learn more

-34/51 in standard form​

brainly.in/question/12244412

Step-by-step explanation

2.5 cups = 5servings

x cups = 8servings

2.5*8 = 5*x

20 = 5x

divide both sides by the coefficient of x

20/5 = 5x/5

4 = x

i.e x = 4

Answer: The number of freshman who chose education as their major is greater than the number of freshman who chose science or other as their major ANSWER- D

Step-by-step explanation:

Answer:

Step-by-step explanation:

Kimberly had 2 times as many marshmallows as Chris. After eating 15 each, Kimberly had 3 times as many marshmallows as Chris. Kimberly had 60 marshmallows at first.

Generally, Let's call the number of marshmallows that Kimberly had at first X.

We know that Kimberly had 2 times as many marshmallows as Chris at first, so Chris had X/2 marshmallows.

After eating 15 each, Kimberly had X - 15 marshmallows, and Chris had X/2 - 15 marshmallows.

We also know that Kimberly had 3 times as many marshmallows as Chris after eating 15 each, so

(X - 15) = 3 * (X/2 - 15).

(X - 15) - 3 * (X/2 - 15) = 0

Then, we can simplify the left side of the equation:

X - 15 - 3 * X/2 + 45 = 0

Combining like terms, we get:

-3 * X/2 + X - 15 + 45 = 0

Simplifying further:

-X/2 =-30

X = 60

Therefore, Kimberly had 60 marshmallows at first.

Read more about word problems

https://brainly.com/question/11240316

#SPJ1

The term "isometric" has the Greek roots "isos," which means "same," and "metron," which means "measure." The definition of an isometric transformation is one in which the original figure and its transformed equivalent have the same shape, size, and orientation.

For such more question on isometric

https://brainly.com/question/14486229

#SPJ8

The equation 12x + 6y = -20 and -3x + y = 5 will have infinitely many solutions when the coefficient of y in 12x + 6y = -20 is -4

When the lines are coincident and they share the same y-intercept, and slope the system of equations has an infinite number of solutions.

If the slope and y-intercept of two lines match, they are in fact the exact same line.

In the problem, the equations are 12x + 6y = -20 and -3x + y = 5

when the ratio of each parameter are equal then the lines have infinite many solutions

x: 12 / -3 = -4

constant: -20 / 5 = -4

let the coefficient be k

y:  k / 1 = -4, k = -4

hence the coefficient should be -4

Learn more about infinite many solutions at:

https://brainly.com/question/27927692

#SPJ1