What is the inverse of the function?

H^-1(x)=

When given the area of a rectangle, and one of the sides, the unknown measure of the rectangle would be 40 meters

To find the area of a rectangle, you can use the formula:

A = l x w

where A is the area of the rectangle, l is the length of the rectangle, and w is the width of the rectangle.

Seeing as you were given the area to be 2, 800 square meters and one of the sides measures 70 meters, the unknown measure of the rectangle would be:

70x Unknown = 2, 800

Unknown = 2, 800 / 70

Unknown measure = 40 meters

Find out more on rectangles at https://brainly.com/question/27035529

#SPJ1

Full question is:

Area = 2,800 square meters

Side A = 70 meters

Find the unknown measure of the rectangle

Answer:B

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

               3x = -6 --->  x = -2

Answer:

Fraction:\(\frac{5}{9}\)

Percent: to the nearest percent 56% or 55.5555555556%

Step-by-step explanation:

There are nine total parts and 5 of those parts are shaded

You would divide 5 by 9 to get the percent then multiply it by 100

Answer:

5/9

or

45%

Step-by-step explanation:

The new coordinates of the point N after the given dilation transformation is; (-2, 6)

From the attached image, we see the given triangle MNP. We see that it's coordinates are;

M(-1, -2)

N(0, 2)

O(2, -2)

Now, when we talk about dilation in transformation, we are simply referring to a transformation that produces an image that is the same shape as the original, but is a different size.

Thus, triangle MNP will be dilated according to the rule  (x,y), where point P is the center of dilation.

Given the coordinate N = (0, 2)

The rule of dilation with scale factor k =2 and point P is the center of dilation is given by:

(x, y) = (2x - 2), (2x + 2)

Thus;

N = (0, 2) → N'(2(0) - 2), (2(2) + 2)

= N'(-2, 6)

Read more about Dilation at; https://brainly.com/question/3457976

#SPJ1

Answer:

(a) The test statistic would follow a t distribution with n - 1 = 10 - 1 = 9 degrees of freedom.

(b) The test statistic is -2.2361.

(c) The p-value of the test is 0.026.

(d) α = 0.05.

Step-by-step explanation:

In this case a hypothesis test is to be performed to determine whether the mean difference in the husband's versus the wife's satisfaction level is negative.

(a)

The data provided is paired data.

So a paired t-test would be used.

The test statistic would follow a t distribution with n - 1 = 10 - 1 = 9 degrees of freedom.

The hypothesis can be defined as follows:

\(\text{H}_{0}:\ \mu_{d}=0\\\\\text{H}_{a}:\ \mu_{d}<0\)

(b)

Compute the test statistic as follows:

\(t=\frac {\bar d-\mu_{d}}{\sigma_{d}/\sqrt{n}}\)

  \(=\frac{-0.50-0}{0.7071/\sqrt{10}}\\\\=-2.2360894\\\\\approx -2.2361\)

The test statistic is -2.2361.

(c)

Compute the p-value as follows:

\(p-value=P(t_{n-1}<t)\\\\=P(t_{9}<-2.2361)\\\\=0.026\)

The p-value of the test is 0.026.

(d)

It is provided that the significance level of the test is, α = 0.05.

Answer:

10 years old

Step-by-step explanation:

lets break it down:

6 more means +6

four times means *4

so if her son is x years old, she is 4x+6

since we know she's 46, we know that 4x+6=46

now we just solve the equation

4x+6=46

-6 on both sides

4x=40

/4 on both sides

x=10

Answer: D

Step-by-step explanation:

Hope it helps

Therefore, the standard deviation of the number of hours that cars are parked is 1.77.

In general, deviation refers to a departure or divergence from a standard or expected value or behavior. The term is commonly used in statistics and mathematics to refer to the difference between a particular value and the mean or expected value of a set of values.

Given by the question.

A. Mean =

The mean can be calculated by multiplying each value of X by its corresponding probability and then summing the results. Symbolically, we have:

μ = ∑ (X * P(X))

Calculating this expression, we get:

μ = (1 * 0.228) + (2 * 0.109) + (3 * 0.115) + (4 * 0.082) + (5 * 0.065) + (6 * 0.036) + (7 * 0.031) + (8 * 0.334)

μ = 4.1

Therefore, the mean number of hours that cars are parked is 4.1.

B. Standard Deviation =

The standard deviation can be calculated using the formula:

σ = ∑ ( \((x-a)^{2}\) * P(X)))

where μ is the mean calculated above. Using this formula, we get:

σ = sqrt ((1 - 4.1) ^2 * 0.228 +   * 0.109 + \((3 - 4.1)^{2}\)  *  0.115 +\((4 - 4.1)^{2}\)) * 0.082 + * 0.065 + \((4 - 4.1)^{2}\)  * 0.036 +\((7 - 4.1)^{2}\)* 0.031 +\((8 - 4.1)^{2}\) * 0.334 )

σ = 1.77

Therefore, the standard deviation of the number of hours that cars are parked is 1.77.

To calculate the mean and standard deviation of the amount of revenue each car generates, we need to multiply the number of hours parked by the cost per hour:

Mean revenue = 4.1 * 3.25 = 13.31 dollars

To learn more about number:

https://brainly.com/question/3589540

#SPJ1

Answer:

False

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

Part A

\(f(g(x))=f(\frac{x}{3})=3(\frac{x}{3})=x\\g(f(x))=g(3x)=\frac{3x}{3}=x\)

Since BOTH \(f(g(x))=x\) and \(g(f(x))=x\), then \(f\) and \(g\) are inverses of each other

Part B

\(f(g(x))=f(\frac{x+1}{2})=2(\frac{x+1}{2})+1=x+1+1=x+2\\g(f(x))=g(2x+1)=\frac{(2x+1)+1}{2}=\frac{2x+2}{2}=x+1\)

Since BOTH \(f(g(x))\neq x\) and \(g(f(x))\neq x\), then \(f\) and \(g\) are NOT inverses of each other

a.) The value of pulses exported by US in billion would be=30 billion.

b.) The ratio of wheat export of UK to maize export of IND would be= 6:5

For question a.)

To calculate the pulses, the following steps should be taken as follows:

From the bar chart, the value of pulses in billions = 30 billions.

For question b.)

The ratio of wheat export at UK and maize export at IND would be calculated as follows:

The quantity of wheat export at UK = 24

The quantity of maize export at IND = 20

Therefore, the ratio of wheat to maize = 24:20= 6:5

Learn more about ratio here:

https://brainly.com/question/2328454

#SPJ1

Answer: Rational

Step-by-step explanation: Only numbers that go on infinitely like pi or the square root of 7 are irrational

To simplify the expression (2x-3)(5x^2-2x+7), we can use the distributive property.

First, multiply 2x by each term inside the second parentheses:

2x * 5x^2 = 10x^3

2x * -2x = -4x^2

2x * 7 = 14x

Next, multiply -3 by each term inside the second parentheses:

-3 * 5x^2 = -15x^2

-3 * -2x = 6x

-3 * 7 = -21

Combine all the resulting terms:

10x^3 - 4x^2 + 14x - 15x^2 + 6x - 21

Now, combine like terms:

10x^3 - 19x^2 + 20x - 21

So, the simplified expression is 10x^3 - 19x^2 + 20x - 21.

For such more question on parentheses

https://brainly.com/question/172904

#SPJ8

Answer: 14 ounces

Step-by-step explanation:

         To find the mean, we add up all the values and divide by the number of values.

\(\displaystyle \frac{12+14+15+15+14}{5} =\frac{70}{5} =14\;ounces\)

The quadratic regressiοn equatiοn fοr the given data pοints is y = 5x² - 20x + 7

A secοnd-degree equatiοn οf the fοrm ax² + bx + c = 0 is knοwn as a quadratic equatiοn in mathematics. Here, x is the variable, c is the cοnstant term, and a and b are the cοefficients.

Tο find the quadratic regressiοn equatiοn fοr the given data pοints, we need tο fit a quadratic equatiοn οf the fοrm y = ax² + bx + c tο the data.

We can start by using the three given pοints tο set up a system οf three equatiοns:

\((1,-8): a(1)^2 + b(1) + c = -8\\\\(2,-4): a(2)^2 + b(2) + c = -4\\\\(3,6): a(3)^2 + b(3) + c = 6\)

SimpIifying each equatiοn, we get:

a + b + c = -8 (equatiοn 1)

4a + 2b + c = -4 (equatiοn 2)

9a + 3b + c = 6 (equatiοn 3)

AIternativeIy, we can use technοIοgy such as a caIcuIatοr οr spreadsheet tο sοIve the system.

SοIving the system using technοIοgy, we get:

a = 5

b = -20

c = 7

Therefοre, the quadratic regressiοn equatiοn fοr the given data pοints is:

y = 5x² - 20x + 7

To know more about quadratic equation visit,

https://brainly.com/question/1214333

#SPJ1

Using the slope concept, it is found that the angle of elevation to the top of the bridges is of 57.7º.

The slope is given by the vertical change divided by the horizontal change.

It's also the tangent of the angle of depression.

In this problem:

Hence:

\(\tan{\alpha} = \frac{95}{60}\)

\(\alpha = \arctan{\left(\frac{95}{60}\right)}\)

\(\alpha = 57.7\)

The angle of elevation to the top of the bridges is of 57.7º.

More can be learned about the slope concept at https://brainly.com/question/18090623

The answer is:

-32

Work/explanation:

Remember the integer rule:

\(\blacktriangleright\phantom{333}\sf{a\times(-b)=-ab}\)

In other words, we multiply a positive times a negative which results in a negative product.

Therefore,

8*(-4) = -32

The area of the 72-degree sector of a circle with a radius of 10 is approximately 62.8318 square units.

To find the area of a sector, you can use the formula:

Area of sector = (θ/360) * π * \(r^2\)

where θ is the central angle of the sector, π is a mathematical constant approximately equal to 3.14159, and r is the radius of the circle.

In this case, the central angle is 72 degrees and the radius is 10. Plugging these values into the formula, we get:

Area of sector = (72/360) * π * \(10^2\)

= (1/5) * π * 100

= (1/5) * 3.14159 * 100

= 0.2 * 3.14159 * 100

= 0.628318 * 100

= 62.8318

Therefore, the area of the 72-degree sector of a circle with a radius of 10 is approximately 62.8318 square units.

For such more questions on area of sector

https://brainly.com/question/22816436

#SPJ11

The probability that a ball selected at random from the jar is number 1, rounded to two decimal places, is 0.17.

To find the probability of selecting ball number 1 from a jar containing 6 balls numbered from 1 to 6, we need to determine the number of favorable outcomes (selecting ball number 1) and the total number of possible outcomes.

The total number of possible outcomes is 6 since there are 6 balls in the jar.

The number of favorable outcomes is 1 since we are interested in selecting ball number 1.

Therefore, the probability of selecting ball number 1 is given by:

Probability = Number of Favorable Outcomes / Total Number of Possible Outcomes

Probability = 1 / 6

To express this probability in decimal form, we divide 1 by 6:

Probability ≈ 0.1666667

Rounded to two decimal places, the probability of selecting ball number 1 is approximately 0.17.

For more such questions on probability visit:

https://brainly.com/question/24756209

#SPJ8

Answer:

D $300

Step-by-step explanation:

I did a test with that question and got it correct

Answer:

D $300 Step-by-step explanation:

\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$20000\\ P=\textit{original amount deposited}\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ t=years\dotfill &18 \end{cases} \\\\\\ 20000=P[1+(0.08)(18)]\implies \cfrac{20000}{1+(0.08)(18)}=P \\\\\\ \cfrac{20000}{2.44}=P\implies 8196.72\approx P\)

The solution to the initial value problem is:

y(x) = √{16}/{8x-1}} + 3e^{-2x} + 2√{2} + 1

The solution to the initial value problem is given by:

y(x) = √{16}/{8x-1}} + 3e^{-2x} + C

Where C is the constant of integration. To find C, we can use the initial condition y(0) = 2√{2}:

y(0) = √{16}/{8(0)-1}} + 3e^{-2(0)} + C = 2√{2}

Solving for C:

C = 2√{2} - √{16}/{-1}} - 3 = 2√{2} + √{16} - 3 = 2√{2} + 4 - 3 = 2√{2} + 1

So the solution to the initial value problem is:

y(x) = √{16}/{8x-1}} + 3e^{-2x} + 2√{2} + 1

learn more about solution to the initial value: https://brainly.com/question/30480066

#SPJ1

Based on the calculations using unit pricing, Toilet paper B has a lower unit price and is the better deal between the two. Customers will save more money if they purchase toilet paper B rather than toilet paper A because the price per mega roll is lower. (option b)

Saving money while shopping is one of the best ways to reduce your expenses and have more disposable income for other things. Unit pricing is a pricing system that displays prices in standard units, allowing customers to compare prices across different brands and package sizes and save money. To determine which toilet paper deal is better, we can use the unit price method, which divides the price by the number of units in the package. The toilet paper with the lower unit price is the better deal.
The formula for unit pricing is as follows:
Unit price = total price ÷ number of units
Using the above formula, we can calculate the unit price of toilet paper A and toilet paper B as follows:
For Toilet paper A:
Unit price = $4.59 ÷ 6 mega rolls
Unit price = $0.765 per mega roll
For Toilet paper B:
Unit price = $9.02 ÷ 12 mega rolls
Unit price = $0.751 per mega roll
Therefore, based on the calculations, Toilet paper B has a lower unit price and is the better deal between the two. Customers will save more money if they purchase toilet paper B rather than toilet paper A because the price per mega roll is lower. (option b)
Unit pricing is a great way to compare prices, and consumers should always use it to determine the better deal between two products, as this will help them save money and stick to their budget.

For more such questions on Unit pricing, click on:

https://brainly.com/question/29023044

#SPJ8

Answer:

IT is D!

Step-by-step explanation:

Hope this helps!!! ;) <3

Answer:

it is the last one.

all you have to do is match the graph and the charts

hope this helps :)

Answer:

Tossing a coin twice; A ={no Heads}, B={at least 1 Head}

Step-by-step explanation:

Mutually exclusive:

If two events are mutually exclusive, if one events happen, the other cannot happen, and vice-versa.

Rolling a die; A={Rolling an even number}, B={Rolling a number greater than 4}

A die has the following outcomes: 1,2,3,4,5,6

Even numbers: 2,4,6

Greater than 4: 5, 6

6 is an outcome of both events A and B, so they are not mutually exclusive.

Picking a card; A= {Selecting a 7}, B={Selecting a Heart}

Cards numbered from 1 to 13, each number with 4 types. So we can have a card of hearts numbered 7, which means that these events are not mutually exclusive.

Tossing a coin twice; A ={no Heads}, B={at least 1 Head}

If you get no heads, the probability of at least 1 head is 0.

If you get at least 1 head, the probability of no heads is 0.

This means that this is the answer, that is, these events are mutually exclusive.

Rolling two 6-sided dice; A={rolling a sum of 4}, B={rolling a 3 on one die}

(3,1) or (1,3) has a sum of 4 and a 3 on one die, which means that these events are not mutually exclusive.

Answer:

Due south and due west form a right angle, and the shortest distance between any two points is a straight line. Therefore, we can apply the Pythagorean theorem and write:

3.12+2.82=x2

Here, you will need to use a calculator to simplify the left-hand side:

17.45=x2

Now use your calculator to take the square root. You will likely need to round your answer.

x=17.45−−−−√≈4.18 miles

As you can see, it will be up to you to determine that a right angle is part of the situation given in the word problem. If it isn’t, then you can’t use the Pythagorean theorem.

Step-by-step explanation:

this is my explanation