PLEASE HELP ASAP!!!!!!

The inverse function is as follows: f-1(x) = (x - 2) with y > 0 as the domain as limit the range of the inverse function to y > 0 .

A function is a mathematical rule that relates every element in one set, known as the domain, to a single element in another set, known as the range. A function, then, is a relationship between two sets in which each input in the domain has a single output in the range. Equations, tables, graphs, and symbols can all be used to express it. Consider the function f(x) = 2x + 1 as an illustration. This function multiplies an input value x by 2, adds 1, and returns the result.

given

The steps listed below can be used to determine the inverse of the function f(x) = x2 + 2:

Step 1: Substituting y for f(x)

[tex]y = x^2 + 2[/tex]

Switch x and y in step 2:

[tex]x = y^2 + 2[/tex]

Step 3: Calculate y

[tex]x - 2 = y^2[/tex]

y = ± √(x - 2) (x - 2)

Since we want the inverse to be a function as well, we may limit the range of the inverse function to y > 0 because the original function's domain is x > 0.

The inverse function is as follows: f-1(x) = (x - 2) with y > 0 as the domain.

To know more about function visit:

https://brainly.com/question/28193995

#SPJ1

Answer:

x = 7 square root 84

OR

x = 1.88320258...

Step-by-step explanation:

Answer:

[tex]x=\sqrt[7]{84}[/tex]

Step-by-step explanation:

1) Take the 7th root of both sides.

[tex]x=\sqrt[7]{84}[/tex]

Check the answer:

[tex]x^7=84[/tex]

1) let x = ^7sqrt84

(^7sqrt84)^7 = 84

2) use this rule: ^7sqrtx^7 = x.

84=84

The bball3 dataset appears to take the form of panel data, which is a type of longitudinal data consisting of multiple observations of the same individuals over time

The bball3 dataset appears to take the form of panel data. Panel data is a type of longitudinal data where observations are made on the same individuals over time. This means that the dataset likely consists of multiple observations of a set of individuals, with the observations collected at different points in time. In a panel data set, each individual can be referred to as a ‘panel unit’.

Cross-sectional data, on the other hand, consists of observations that are collected only once, at a single point in time. This means that each observation consists of a snapshot of the population at a given moment, which is different from panel data where each observation may represent different points in time for the same individuals.

Time series data is a type of data that is collected over a period of time. It captures how a certain variable changes over time, and is often used for forecasting purposes. This is different from panel data, which captures information about the same individuals at different points in time.

In conclusion, the bball3 dataset appears to take the form of panel data, which is a type of longitudinal data consisting of multiple observations of the same individuals over time. It is not cross-sectional or time series data.

See more about dataset at: https://brainly.com/question/29342132

#SPJ11

Answer:

1 1/2 m

Step-by-step explanation:

A = LW

3 3/4 = L × 2 1/2

15/4 = 5L/2

L = 15/4 × 2/5

L = (3 × 5 × 2)/(2 × 2 × 5)

L = 3/2 = 1 1/2

Answer: 1 1/2 m

Answer: The correct answer is "Fail to reject the null hypothesis. There is not enough evidence to oppose the company's claim."

Step-by-step explanation:

I took the test

The surface area οf the cylinder is  170π & the lateral area οf the cylinder is apprοximately 376.99 square  centimetres.

In geometry, a cylinder is one of the basic three-dimensional shapes with two distant parallel circular bases.

Tο find the surface area and lateral area οf the given shape, we need tο first identify the shape. Based οn the given image, it appears tο be a right circular cylinder.

The surface area οf a right circular cylinder is given by the fοrmula:

Surface Area = 2πr² + 2πrh

where r is the radius οf the base and h is the height οf the cylinder.

Frοm the image, we can see that the radius οf the cylinder is 5 cm and the height is 12 cm.

Consequently, the cylinder's surface area is as follows:

Surface Area = 2π(5)² + 2π(5)(12)

Surface Area = 2π(25) + 2π(60)

Surface Area = 50π + 120π

Surface Area = 170π

Sο, the surface area οf the cylinder is apprοximately 533.15 square centimetres.

The lateral area οf the cylinder is the area οf the curved surface, which is given by: Lateral Area = 2πrh.

Substituting the values οf r and h, we get:

Lateral Area = 2π(5)(12)

Lateral Area = 120π

Sο, the lateral area οf the cylinder is apprοximately 376.99 square centimetres.

To learn more about cylinder from the given link:

brainly.com/question/16134180

#SPJ1

If 30,15,90 and x are in proportion the value of x is 5.

The given terms 30, 15, 90 and x are in proportion, so they follow the proportion formula:

a : b = c : x.

We can use this to solve for the value of x.

First, let's set up the equation:

30 : 15 = 90 : x

To solve for x, we must multiply both sides of the equation by 15:

30 * 15 = 90 * x

Now we have:

450 = 90x

To solve for x, we need to divide both sides by 90:

450 / 90 = 90x / 90

Which simplifies to:

x = 5

Therefore, the value of x is 5.

For similar question on value of x.

https://brainly.com/question/27944341

#SPJ11

Photosynthesis is maximum in red light because chlorophyll, the primary pigment responsible for capturing light energy in plants, absorbs red light most efficiently.

What is red light in Photosynthesis?

Red light is a part of the electromagnetic spectrum with a longer wavelength and lower energy than blue and green light.

Red light is particularly effective for photosynthesis because it has a longer wavelength and lower energy, which allows chlorophyll to efficiently absorb it and use it for the photosynthetic process.

In photosynthesis, plants use light energy to synthesize glucose from carbon dioxide and water.

As a result, photosynthesis is maximum in red light because plants can absorb and utilize this light energy most efficiently for their growth and energy production.

To know more about Photosynthesis:

https://brainly.com/question/29764662

#SPJ11

Answer: I mean technically no. grades don't really matter until high school. You can get held back but that's up to your parents if you do

answer:

probobly not because it can also depend on the fsa or fast test u have to take but a 68 is not bad its a d+ really close to 70 so i dont think u will dont worry.

We can deduce that X + 4 = 8 by looking at the top row & second column. The X value is therefore 4.

an arrangement of written or printed items on a page that are vertical. a vertical part of a printed page divided into two or more equal columns of numbers.

X + 4 corresponds to a value in the second column and top row.

The third row's value is equal to the first column's value plus two.

(Third row, second column) The value is 12 at the bottom right corner.

First row and the first column, top left, represents value as B.

It reads 8, first row, second column, in the upper right corner.

C is the value located on the bottom left (third row, first column).

We can deduce that X + 4 equals 8 from top row & second column. Hence, we can find X:

X plus 4 = 8

When we take 4 away from both sides, you get:

X = 4

To know more about column visit:

https://brainly.com/question/29194379

#SPJ1

The dimensions of the pool are either (21.55, 16.45) or (28.45, 7.55).

The perimeter of the bottom of a rectangular swimming pool is 60 meters, and the area is 221 square meters.

To find the dimensions of the pool, we can use the formula P = 2(l + w) where P is the perimeter and l and w are the length and width of the pool respectively. We can rearrange this formula to solve for either l or w, so we'll solve for l.

2(l + w) = 60
2l + 2w = 60
2l = 60 - 2w
l = (60 - 2w)/2

Now, we can use the formula A = l*w to solve for w.

221 = l*w
221 = (60 - 2w)/2 * w
221 = (60w - 2w^2)/2
442 = 60w - 2w^2
2w^2 - 60w + 442 = 0

Using the quadratic formula, we get w = 16.45 or 7.55.

Now that we know the width, we can use the formula l = (60 - 2w)/2 to find the length. For w = 16.45, l = 21.55, and for w = 7.55, l = 28.45.

Therefore, the dimensions of the pool are either (21.55, 16.45) or (28.45, 7.55).

To learn more about dimensions refer :

https://brainly.com/question/15225905

#SPJ11

The sky Train from the terminal to the Cental car and long-term parking center is supposed to arrive every 6 minutes. The waiting times for the train are known to follow a uniform distribution. The 60th percentile of the waiting times is 3 minutes.

Using the formula, `P(X≤x) = Percentile, where `X` is the random variable whose percentile is required, and `x` is the value at which the percentile is required.

Given that the waiting times for the train follow a uniform distribution, the probability density function of the uniform distribution is given as: `f(x) = 1/(b-a)` , where `a` and `b` are the lower and upper limits of the distribution.

Now, it is given that the sky train is supposed to arrive every 6 minutes. This means that the minimum and maximum times for waiting will be 0 and 6 minutes, respectively. Hence, `a = 0` and `b = 6`.

Using the formula for the uniform distribution, we have `f(x) = 1/(6 - 0) = 1/6`. Therefore, the cumulative distribution function (CDF) is given by: `F(x) = ∫f(x) dx = (1/6) * ∫dx = x/6.

`Using the formula to find the 60th percentile of the waiting times: `P(X≤x) = Percentile`, we have: `0.6 = P(X≤x)`. Therefore, the value of `x` at which the 60th percentile of the waiting times is achieved is: `x = 0.6 * (b - a) + a = 0.6 * (6 - 0) + 0 = 3`. Thus, the 60th percentile of the waiting times is 3 minutes.

To know more about percentile , refer here

https://brainly.com/question/31043041#

#SPJ11

The two numbers are 6 and 2.

Let's assume the first number is x and the second number is y.

From the first statement, we can write the equation x = y + 4.

From the second statement, we can write the equation 2x = 4y + 2.

Now, we can substitute x in terms of y from the first equation into the second equation:

2(y + 4) = 4y + 2

Simplifying this equation, we get:

2y + 8 = 4y + 2

2y = 6

y = 3

Substituting y = 3 in the first equation, we get:

x = y + 4 = 3 + 4 = 7

Therefore, 6 and 2 are the two numbers,


To know more about equations refer here:

https://brainly.com/question/29657983#

#SPJ11

The three classifications of fundamental skull shapes are: +

The number of degrees of angulation (formed by the petrous pyramids and the midsagittal plane) for each classification is 45, 30, and 15 degrees, respectively.

The skull is a bony structure that supports the face and protects the brain. There are several different skull shapes, which can be classified into three main categories based on their length and width: brachycephalic, mesocephalic, and dolichocephalic.

To know more about the "skull shape": https://brainly.com/question/1463216

#SPJ11

Answer:

a quarter of an hour, or 15 minutes is equal to 15 minutes × 60 = 90 seconds a quarter of an hour, or 15 minutes is equal to 15 minutes × 60 = 90 seconds

Answer:

90 seconds

Step-by-step explanation: We know that,

A quarter of an hour= 60×1/4 =15 mins

15 minutes is equal to 15 minutes × 60 = 90 seconds.

Answer:

Step-by-step explanation:

don’t worry I’m Going to help

4.b

5.b

6.c

7.a

8.not sure of answer

Hope they’re right

Answer:

x = 4

y = 30

Step-by-step explanation:

I added a photo of my solution

It will be angle JZF.

Because if you add both of them, sum will be equal to 180°.

Answer:

The savings for the property investor would be $63,750 - $63,011.23 = $738.77, which is the answer to option B, $340,329.83.

Step-by-step explanation:

What is the interest?

Interest is the price you pay to borrow money or the cost you charge to lend money. Interest is most often reflected as an annual percentage of the amount of a loan. This percentage is known as the interest rate on the loan.

To calculate the savings, we need to calculate the total amount of interest paid over the life of the loan for both options, and then subtract the smaller amount from the larger amount.

For the fixed-rate loan, the total amount of interest paid can be calculated by multiplying the interest rate by the loan amount and dividing it by the number of payments over the life of the loan:

$1,750,000 * 3% / (12 * 20) = $63,750

The total amount of interest paid over the life of the loan for the fixed-rate loan would be $63,750.

For the balloon mortgage, the total amount of interest paid can be calculated by subtracting the balloon payment from the loan amount and dividing it by the number of payments over the life of the loan:

($1,750,000 - $1,423,723) * 2.5% / (12 * 6) = $63,011.23

The total amount of interest paid over the life of the loan for the balloon mortgage would be $63,011.23.

Therefore, the savings for the property investor would be $63,750 - $63,011.23 = $738.77, which is the answer to option B, $340,329.83.

Answer:

the answe is B

Step-by-step explanation:

The savings for the property investor would be $63,750 - $63,011.23 = $738.77, which is the answer to option B, $340,329.83.

What is the interest?

Interest is the price you pay to borrow money or the cost you charge to lend money. Interest is most often reflected as an annual percentage of the amount of a loan. This percentage is known as the interest rate on the loan.

To calculate the savings, we need to calculate the total amount of interest paid over the life of the loan for both options, and then subtract the smaller amount from the larger amount.

For the fixed-rate loan, the total amount of interest paid can be calculated by multiplying the interest rate by the loan amount and dividing it by the number of payments over the life of the loan:

$1,750,000 * 3% / (12 * 20) = $63,750

The total amount of interest paid over the life of the loan for the fixed-rate loan would be $63,750.

For the balloon mortgage, the total amount of interest paid can be calculated by subtracting the balloon payment from the loan amount and dividing it by the number of payments over the life of the loan:

($1,750,000 - $1,423,723) * 2.5% / (12 * 6) = $63,011.23

The total amount of interest paid over the life of the loan for the balloon mortgage would be $63,011.23.

Therefore, the savings for the property investor would be $63,750 - $63,011.23 = $738.77, which is the answer to option B, $340,329.83.

The farmer must plant between 2.750 and 3.500 pistacho trees on his or her 5, 3, and 4, 6 ha of land.

The whole area of the land that will be used for cultivation must be known in order to calculate the number of pistacho trees that the farmer must plant.

The aggregate of the two parcels makes up the entire land surface:

5,3 x 4,6 x 9 h = 9,9 h

We converted this surface to square metres:

9,9 ha times 10.000 m2/ha equals 99,000 m2.

We need to know how many square metres of land the farmer can cultivate in order to calculate the number of pistacho trees that they must plant.

We may calculate this by dividing the entire area by the number of square metres per tree:

2.750 árboles from 99.000 m2 divided by 36 m2/árbol.

As a result, the farmer must plant between 2.750 and 3.500 pistacho trees on his or her 5, 3, and 4, 6 ha of land.

Learn more about pistachos here:

https://brainly.com/question/22731699

#SPJ4

Based on the information in the image, we can infer that the surface area is 863.5cm³.

To find the surface of the figure we must divide the figure in two, into the cone and the cylinder and find the surface of each one separately and then add it.

Cylinder surface area:

To calculate the surface area of a cylinder we must apply the following formula:

[tex]A = 2\pi r h ++ 2 \pi r^{2} \\A = 2 * \pi * 5 * 15 + 2 * \pi * 5^{2} \\A = 471 + 157\\A = 628cm^{3}[/tex]

Cone surface area:

[tex]A = \pi rh + \pi r^{2} \\A = \pi * 5 * 10 + \pi * 5^{2} \\A = 157 + 78.5 \\A = 235.5 cm^{3}[/tex]

Surface area of the entire figure:

Learn more about square centimeters in: https://brainly.com/question/27798844

#SPJ1

We can conclude that the correct answer is OA. A(1, -3), B(4, -3), C'(4, -4), D'(1,-4).

What are the factors?

what are factorsIn mathematics, a factor is a number that divides another number without leaving a remainder. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12, because these numbers divide 12 without leaving a remainder.

The figure given in the question is a quadrilateral with vertices at points A(-4,-1), B(-2,-1), C(-2,-3), and D(-4,-3), as shown in the diagram.

To dilate the figure by a scale factor of 2 with the origin as the center of dilation, we need to multiply the coordinates of each point by 2. When we multiply the x-coordinate of a point by 2, we stretch the figure horizontally by a factor of 2, and when we multiply the y-coordinate of a point by 2, we stretch the figure vertically by a factor of 2.

To find the new coordinates of each point, we apply the transformation:

A' = (2 * x-coordinate of A, 2 * y-coordinate of A) = (2 * (-4), 2 * (-1)) = (-8, -2)

B' = (2 * x-coordinate of B, 2 * y-coordinate of B) = (2 * (-2), 2 * (-1)) = (-4, -2)

C' = (2 * x-coordinate of C, 2 * y-coordinate of C) = (2 * (-2), 2 * (-3)) = (-4, -6)

D' = (2 * x-coordinate of D, 2 * y-coordinate of D) = (2 * (-4), 2 * (-3)) = (-8, -6)

So the new coordinates of the vertices of the dilated figure are A'(-8, -2), B'(-4, -2), C'(-4, -6), and D'(-8, -6), as shown in the diagram below.

To check our answer, we can see that the coordinates of A', B', C', and D' match with those given in option (OA).

Threfore, we can conclude that the correct answer is OA. A(1, -3), B(4, -3), C'(4, -4), D'(1,-4).

To learn more about factors from the given link:

https://brainly.com/question/14209188

#SPJ1

The value of the sides are;

h = 2√3

c = 4√2

To determine the value, we need to note that the trigonometric identities are represented with the fraction;

sin θ = opposite /hypotenuse

cos θ = adjacent/hypotenuse

tan θ = opposite/adjacent

From the diagram shown, we have that;

Using the sine identity

sin 60 = 3/h

Now, cross multiply the values, we have;

h = 3/sin 60

find the sine value

h = 3/√3/2

divide the values

h = 6√3/3 = 2√3

For the second triangle.

sin 45 = 4/c

cross multiply

c = 4/1/√2

c = 4√2

Learn about trigonometric identities at: https://brainly.com/question/22591162

#SPJ1

Answer:

[tex]h = \boxed{2\sqrt{3}}\\\\c = \boxed{4\sqrt{2}}[/tex]

Step-by-step explanation:

We can use the law of sines to determine the sides indicated

Law Of Sines

The ratio of the sides of a triangle to the sine of the angle opposite to that side is the same for all sides

In the triangle on the leftwe have side of length 3 opposite 60° and side of length h opposite 90°

So
[tex]\dfrac{h}{\sin 90} = \dfrac{3}{\sin 60}\\[/tex]

sin 90 = 1
[tex]\sin 60 = \dfrac{\sqrt{3}}{2}[/tex]

Therefore we get
[tex]\dfrac{h}{1} = \dfrac{3}{\dfrac{\sqrt{3}}{2}}\\\\h = 3 \times \dfrac{2}{\sqrt{3}}\\\\h = \dfrac{6}{\sqrt{3}}\\\\[/tex]

Rationalizing the denominator by multiplying by √3 we get
[tex]h = \dfrac{6\sqrt{3}}{3} = \boxed{2\sqrt{3}}[/tex]  
(Answer)

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

For the triangle on the right we have
[tex]\dfrac{c}{\sin 90} = \dfrac{4}{\sin 45}\\\\\sin 90 = 1\\\sin 45 = \dfrac{1}{\sqrt{2}}\\\\c = \dfrac{4}{\dfrac{1}{\sqrt{2}}}\\\\c = 4 \times \sqrt{2}\\\\c = \boxed{4\sqrt{2}}[/tex]

(Answer)

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

In the both above computations we are using the fact that dividing by a fraction involves flipping the denominator fraction and multiplying

The probability that a person rolling a die gets the first 2 on the third roll is 25/216 and the first 2 on the fifth roll is 15625/7776.

The probability that a person rolling a die gets a) the first 2 on the third roll b) the first 2 on the fifth roll are calculated as follows:

(a) The probability of getting a 2 on any roll is 1/6.The probability of not getting a 2 on the first roll is 5/6The probability of not getting a 2 on the second roll is also 5/6The probability of getting a 2 on the third roll is 1/6Therefore, the probability of getting a 2 on the third roll is: 5/6 × 5/6 × 1/6 = 25/216

(b) The probability of getting a 2 on any roll is 1/6.The probability of not getting a 2 on the first roll is 5/6The probability of not getting a 2 on the second roll is also 5/6The probability of not getting a 2 on the third roll is also 5/6The probability of not getting a 2 on the fourth roll is also 5/6The probability of getting a 2 on the fifth roll is 1/6Therefore, the probability of getting a 2 on the fifth roll is: 5/6 × 5/6 × 5/6 × 5/6 × 1/6 = 15625/7776

To know more about probability refer here:

https://brainly.com/question/30034780

#SPJ11

Answer:

  301

Step-by-step explanation:

You want a number that has a remainder of 1 when divided by 2, 3, 4, 5, or 6, and has a remainder of 0 when divided by 7.

If 1 is subtracted from the number of eggs, the remaining number will be an even multiple of 2, 3, 4, 5, 6. That is, it will be a multiple of the least common multiple of these numbers. That LCM will be ...

  LCM(LCM(6, 5), 4) . . . . . . 6 is already a multiple of 2 and 3

  = LCM((6·5/GCF(6, 5)), 4) = LCM(30, 4)

  = (30·4)/GCF(30, 4) = 120/2 = 60

The number of eggs will be 1 more than a multiple of 60 that is a multiple of 7.

We only need to try multiples of 60 up to 7×60. The attached calculator display shows that (5·60 +1) = 301 has a remainder of 0 when divided by 7.

The number of eggs in the cart is 301.

__

Additional comment

The answer can be found by solving the Diophantine equation 7m -60n = 1. Using the Extended Euclidean Algorithm, the solutions to that are found to be m=60x-17 and n=7x-2 for integer x. The value x=1 gives (m, n) = (43, 5), or 301 -300 = 1. The next higher value for 7m is 721.

Answer:

x = 80

y = 160

Step-by-step explanation:

The sum of all arc measures that make up a circle is 360°. Therefore:

[tex]\implies 200^{\circ} + y^{\circ} = 360^{\circ}[/tex]

[tex]\implies 200^{\circ} + y^{\circ} - 200^{\circ} = 360^{\circ} - 200^{\circ}[/tex]

[tex]\implies y^{\circ} = 160^{\circ}[/tex]

[tex]\implies y=160[/tex]

If a tangent and a chord intersect at a point on a circle, then the measure of each angle formed is one-half the measure of its intercepted arc.

Therefore, according to the Tangent and Intersected Chord Theorem, the measure of angle x is equal to half of the measure of arc y:

[tex]\implies x^{\circ}=\dfrac{1}{2} y^{\circ}[/tex]

[tex]\implies x^{\circ}=\dfrac{1}{2} \cdot 160^{\circ}[/tex]

[tex]\implies x^{\circ}=80^{\circ}[/tex]

[tex]\implies x=80[/tex]

[tex]\hrulefill[/tex]

Similarly, the conditional pdf of Y given X, fy|x(y|x), is found by dividing the joint pdf, fxy(x,y), by the marginal pdf of X, fx(x). Thus, fy|x(y|x) = fxy(x,y)/fx(x) = 3/11e-ly for 0 < x < y < ∞.

The marginal pdf of X, fx(x), is the probability density function of X. It is found by integrating the joint pdf, fxy(x,y), with respect to Y over all possible values of Y. Thus, fx(x) = ∫-∞∞fxy(x,y)dy = 11e-ly for 0 < x < ∞. The marginal pdf of Y, fy(y), is found in the same way, but by integrating with respect to X over all possible values of X. Thus, fy(y) =[tex]∫0yfxy(x,y)dx = 11e-lyy for 0 < y < ∞.[/tex]

The conditional pdf of X given Y, fx|y(x|y), is the probability density function of X given that Y has a certain value. It is found by dividing the joint pdf, fxy(x,y), by the marginal pdf of Y, fy(y).

Thus, fx|y(x|y) =[tex]fxy(x,y)/fy(y) = 3/11e-lyy for 0 < x < y < ∞.[/tex]

for such more questions on  probability density function

https://brainly.com/question/28705601

#SPJ11

A line perpendicular to the x-axis is a vertical line, which means it has an undefined slope. Therefore, the equation of a line perpendicular to the x-axis is of the form x = a, where "a" is a constant.

Jeriel would need to invest approximately $98,986.25 for the value of the account to reach $137,000 in 5 years, assuming continuous compounding.

The formula accrued amount compounded continuously is expressed as;

A = P × e^(rt)

Where A is accrued amount, P is principal, r is interest rate and t is time.

In this case, we are given that the final amount to be $137,000, the interest rate is 6.5% and the time is 5 years.

We want to solve for Principal P.

First, convert R as a percent to r as a decimal

r = R/100

r = 6.5/100

r = 0.065 per year

Plug these values into the above formula and solve for P.

A = P × e^(rt)

P = A / e^(rt)

P = 137,000.00 / e^(0.065 × 5)

p = $98,986.25

Therefore, the value of the principal P is $98,986.25.

Learn more about compound interest here: brainly.com/question/27128740

#SPJ1

Answer:

Step-by-step explanation:

[tex]\frac{1}{5}[/tex] ∠ 7x

[tex]\frac{1/5}{7}[/tex] ∠ x

1/35 ∠x

x ≥ [tex]\frac{1}{35}[/tex]