Answer the following given the function h(x)=2x−5. (i) Determine h
−1
(x). (ii) Use your answer from part(i) to show that (h∘h
−1
)(x)=x. (iii) Use your answer from part(i) to show that h
−1
(h(x))=x. (iv) Explain why part (ii) and part (iii) verify the result of part (i).

As per the angle sum property, the measure of the top-left angle in the triangle is 55° and the measure of the top-right angle is 35°

The term angle sum property is defined as the sum of interior angles of a triangle is 180°.

Here we have the  of each acute angle.

(7x + 6)

(6x – 7)

As per the angle sum property, the given angle is written as,

=> (7x + 6)° + (6x - 7)° + 90° = 180°

Now, we have to expand the equation, then we get,

=>  13x° + 89° = 180°

When we simplify the equation, then we get,

=> 13x° = 180° - 89°

=> 13x° = 91°

Then the value of x is 7°

Therefore, the measure of the top-left angle in the triangle is calculated as

=> (7x + 6)°

Apply the value of x on it, then we get,

=> (7 x 7) + 6

=> 55°

and the measure of the top-right angle is calculated as,

=> (6 x 7) - 7

=> 42 - 7

=> 35°

To know more about Angle sum property here.

https://brainly.com/question/4316040

#SPJ4

One of the following steps is not required as a step to test for the null hypothesis is Compute the standard error of the slope estimate.

Hypothesis testing is a statistical method for testing the validity of a hypothesis made about a parameter in a population. This method may be used to assess the truth of a hypothesis made about a population parameter.

A hypothesis testing problem involves determining whether there is enough evidence in a sample data to support the hypothesis about the population.

Learn more about hypothesis testing at

https://brainly.com/question/31199947

#SPJ11

Answer:40-45 percent

Step-by-step explanation:

explenation

Answer:

10.333

Step-by-step explanation:

To find the mean/average find the sum of all values by adding 11,10,18,4,8, and 11

The sum of these numbers is 62

Divide the sum (62) by the amount of values used (6)

Answer:

so 14 can go into 28, 2 times and 19 can go into 38 2 times so the techaer can make 2 group with 14 girls and 19 boys in each group.

Step-by-step explanation:

Answer: 2,500 blocks

Step-by-step explanation:

Hi, to answer this question we have to calculate both volumes:

Volume of a rectangular prism= length x width x height

Volume of the block = 22 x 11 x 7 = 1,694 cm3

Before calculating the volume of the wall, we have to convert the measures in m to cm:

Since:

1m = 100 cm

5 1/2 m x 100 = 550 cm (length)

3 1/2 m x 100 =350 cm (height)

Volume of the wall = 550 x 22 x 350= 4,235,000 cm3

Finally:

Volume of the wall /Volume of the block = 4,235,000 / 1,694 = 2,500 blocks.

Feel free to ask for more if needed or if you did not understand something.  

Answer:

x=-10

Step-by-step explanation:

2(x+3)=x-4 (Multiply the 2 by the x and the 3);

2x+6=x-4 (Now you group like terms)

2x-x=-4-6

x=-10

x=-10 is the solution of equation 2(x+3)=x-4

Two or more expressions with an Equal sign is called as Equation.

The given equation is 2(x+3)=x-4

Apply distributive law on Left hand side

2x+6=x-4

Now add 4 on both sides

2x+6+4=x-4+4

2x+6+4=x

Now subtract x on both sides

2x-x+10=x-x

x+10=0

Now subtract 10 on both sides

x=-10

Hence, x=-10 is the solution of equation 2(x+3)=x-4

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

The missing value, the Length of the other diagonal (c), is approximately 26.7. a = 20  b = C = 35  d = 25  c ≈ 26.7.

In the parallelogram and find the missing values, we need to use the properties of parallelograms. Let's analyze the given information and proceed with the solution:

a = 20 (one side length of the parallelogram)

b = C = 35 (another side length of the parallelogram)

d = 25 (one of the diagonals)

The diagonals of a parallelogram bisect each other, which means they divide each other into two equal parts. Therefore, we can use this property to find the missing value, which is the length of the other diagonal (c).

Since the diagonals bisect each other, we can consider half of d as the length of one of the segments of c. Therefore, one segment of c will be 25/2 = 12.5.

Using the Pythagorean theorem, we can find the length of c. The formula is as follows:

c^2 = a^2 + b^2

Substituting the given values, we get:

c^2 = 20^2 + (2 * 12.5)^2

c^2 = 400 + 312.5

c^2 = 712.5

Taking the square root of both sides, we find:

c ≈ √712.5 ≈ 26.7

Therefore, the missing value, the length of the other diagonal (c), is approximately 26.7.

To summarize:

a = 20

b = C = 35

d = 25

c ≈ 26.7

For more questions on Length .

https://brainly.com/question/28322552

#SPJ8

There are 70 different signals consisting of eight flags that can be made using three white flags, four red flags, and one blue flag.

To determine the number of different ways the prizes can be awarded, we can use the concept of combinations. We have 50 people purchasing raffle tickets, and we need to select 3 winners for the prizes.

The first prize can be awarded to any one of the 50 people who purchased tickets. After the first prize winner is selected, there are 49 people remaining.

The second prize can be awarded to any one of the remaining 49 people. After the second prize winner is selected, there are 48 people remaining.

Similarly, the third prize can be awarded to any one of the remaining 48 people.

To calculate the total number of ways the prizes can be awarded, we multiply the number of choices for each prize together:

Total number of ways = 50 * 49 * 48

                   = 117,600

Therefore, there are 117,600 different ways the prizes can be awarded.

Now let's move on to the second question about different signals consisting of white, red, and blue flags.

We have 8 flags in total: 3 white flags, 4 red flags, and 1 blue flag. We need to determine the number of different signals we can create using these flags.

To find the number of different signals, we can use the concept of permutations. Since the order of the flags matters in creating a unique signal, we will use permutations with repetition.

The number of permutations with repetition can be calculated using the formula:

N! / (n1! * n2! * ... * nk!)

where N is the total number of objects and n1, n2, ..., nk are the numbers of each type of object.

In our case, we have:

N = 8 (total number of flags)

n1 = 3 (number of white flags)

n2 = 4 (number of red flags)

n3 = 1 (number of blue flags)

Using the formula, we can calculate the number of different signals:

Number of different signals = 8! / (3! * 4! * 1!)

                          = 8! / (3! * 4!)

                          = (8 * 7 * 6 * 5) / (3 * 2 * 1)

                          = 70

Therefore, there are 70 different signals consisting of eight flags that can be made using three white flags, four red flags, and one blue flag.

Learn more about signals here

https://brainly.com/question/32858480

#SPJ11

The simulation tool to use is (d) a bag containing 12 chips in three different colors, with four of each color

From the question, we have the following parameter:

Group, n = 3

The probability of selecting a group is:

p = 1/3

This means that the simulation tool to select must have a probability value of 1/3

From the question, the option (d) has a probability of 1/3

This is so because, we have:

So, the probability of selecting each color is 4/12 or 1/3

Hence, the simulation tool to use is (d)

Read more about probability at:

https://brainly.com/question/251701

Answer:

a bag containing 12 chips in three different colors, with four of each color

and i think

a six-sided number cube

Step-by-step explanation:

plato?

The true proportion of people who prefer dark chocolate (p) likely falls within the range of 0.205 to 0.255 (0.23 ± 0.025) based on the poll results.

To describe the conclusion about the proportion of people who like dark chocolate more than milk chocolate, denoted as "p," using an absolute value inequality, we can consider the margin of error.

Let's assume that p represents the true proportion of people who prefer dark chocolate. The poll results indicate that the sample proportion of people who like dark chocolate more than milk chocolate is 23%, with a margin of error of 2.5%.

The margin of error represents the maximum likely deviation between the sample proportion and the true population proportion. It is typically expressed as a positive value. In this case, the margin of error is 2.5%, which can be written as 0.025.

Using an absolute value inequality, we can write the conclusion as:

| p - 0.23 | ≤ 0.025

This inequality states that the difference between the true population proportion (p) and the observed sample proportion (0.23) is less than or equal to 0.025, which represents the margin of error.

In other words, the absolute value of the difference between p and 0.23 is less than or equal to 0.025, indicating that the true proportion of people who prefer dark chocolate (p) likely falls within the range of 0.205 to 0.255 (0.23 ± 0.025) based on the poll results.

Learn more about margin of error here:

https://brainly.com/question/29419047

#SPJ11

There is only one different square root of A.(a) To find the square roots of matrix A = [2 2; 2 2]: Let's consider two matrices B1 and B2: B1 = [1 1; 1 1]; B2 = [-1 -1; -1 -1].

Now, let's check if BB = A for each matrix: B1B1 = [1 1; 1 1] * [1 1; 1 1] = [2 2; 2 2] = A; B2B2 = [-1 -1; -1 -1] * [-1 -1; -1 -1] = [2 2; 2 2] = A. Both B1 and B2 satisfy BB = A, so they are two possible square roots of matrix A. (b) For matrix A = [5 0; 0 9], let's consider a matrix B: B = [√5 0; 0 √9] = [√5 0; 0 3] .We can see that BB = [√5 0; 0 3] * [√5 0; 0 3] = [5 0; 0 9] = A.

Thus, there is only one different square root of A. (c) Not every 2x2 matrix has a square root. For a square root of a matrix to exist, the matrix must be positive definite or positive semidefinite. If the eigenvalues of the matrix are negative or complex, there won't be any real square root. Additionally, if the matrix has zero eigenvalues with multiplicities greater than one, it may not have a unique square root. Therefore, the existence of a square root for a 2x2 matrix depends on its eigenvalues and their properties.

To learn more about matrices click here: brainly.com/question/30646566

#SPJ11

The points on the real number line that satisfy the inequality |2x + 5| ≤ 7 can be illustrated by shading the interval [-6, 1].

To solve the inequality, we consider two cases: when the expression inside the absolute value is positive and when it is negative.

Case 1: 2x + 5 ≥ 0

In this case, the inequality simplifies to 2x + 5 ≤ 7. By solving for x, we get x ≤ 1.

Case 2: 2x + 5 < 0

Here, we change the inequality direction when dividing by a negative number, giving us -2x - 5 ≤ 7. Solving for x, we obtain x ≥ -6.

Combining the solutions from both cases, we find that the valid range for x is -6 ≤ x ≤ 1. This range corresponds to the interval [-6, 1] on the real number line.

Therefore, the points on the real number line that satisfy the inequality |2x + 5| ≤ 7 are represented by shading the interval [-6, 1].

Learn more about solving inequalities here: brainly.com/question/21857626

#SPJ11

The required length of the missing side in the triangle is x = 5 in.

A right-angle triangle is shown in the figure, we have to determine the unknown measure x in the triangle.

Applying the Pythagoras theorem,
12² + x² = 13²
144 + x² = 169
x² = 169-144
x² = 25
x = √25
x = ± 5

Since x = 5, the length can never be negative.

Thus, the requried measure of x in the given triangle is 5.

Learn more about Pythagoras' theorem here:

https://brainly.com/question/343682

#SPJ1

The "0.004" is the constant of proportionality, in this particular case, that value represents the height if a single sheet of paper.

We know that the height, in inches, of s sheets of paper can be described by the equation:

h = 0.004*s

So, if we have a single sheet, the height is:

h = 0.004*1 = 0.004

The height of a single sheet if 0.004 inches.

If instead we have two, then s = 2, we will have:

h = 0.004*2 = 0.008

The height is 0.008 inches.

So, the given equation:

h = 0.004*s

Is a proportional relation.

The "0.004" is the constant of proportionality, in this particular case, that value represents the height if a single sheet of paper.

If you want to learn more about proportional relations:

https://brainly.com/question/12242745

#SPJ1

Answer:

the answer is c

Step-by-step explanation:

the answer is (c) because the straight lines is frount of 6 and behind 3 mean they are an absolute value which mean the complete opposite of something. like 7 and -7

So when u solve the equation like

6x+3 = 27

6x = 27- 3

x=24 /6

x=4

Then the absolute value of 4 is -4 therefore c is the answer

a. The probability that the system will operate as shown is approximately 0.6141.

b. Probability ≈ 0.6141The probability remains the same as in the previous case, which is approximately 0.6141.

c. The probability that the system will operate with each component having a backup with a probability of 0.85 and a switch that is 90% reliable is approximately 0.6485.

a. To find the probability that the system will operate as shown, we multiply the probabilities of each component. Since the system is shown to have three components with a probability of 0.85 each, we can calculate:

Probability = 0.85 × 0.85 × 0.85

Probability ≈ 0.6141

The probability that the system will operate as shown is approximately 0.6141.

b. In this case, each system component has a backup with a probability of 0.85 and a switch that is 100% reliable. Since the backup has a probability of 0.85, and the switch is 100% reliable (probability = 1), we can calculate the probability as:

Probability = 0.85 × 0.85 × 0.85

Probability ≈ 0.6141The probability remains the same as in the previous case, which is approximately 0.6141.

c. In this scenario, each system component has a backup with a probability of 0.85, but the switch is 90% reliable (probability = 0.90). We can calculate the probability as:

Probability = 0.85 × 0.90 × 0.85

Probability ≈ 0.6485

The probability that the system will operate with each component having a backup with a probability of 0.85 and a switch that is 90% reliable is approximately 0.6485.

For more such questions on Probability

https://brainly.com/question/30390037

#SPJ8

There would be 707 lab groups with 555 students.

The number of lab groups with 555 students can be found by dividing the total number of students in the class by the number of students in each lab group.

Total number of students in the class: 393939
Number of students in each lab group: 555

To find the number of lab groups with 555 students, we need to divide the total number of students by the number of students in each lab group:

393939 / 555 = 707

Therefore, there would be 707 lab groups with 555 students.

To know more about groups refer here:

https://brainly.com/question/32631727

#SPJ11

The area of the hexagon is 57.12 cm².

A hexagon is a six-sided polygon. The word "hexagon" comes from the Greek words "hex", meaning six, and "gonos", meaning angle.

Hexagons can be regular, meaning that all six sides are equal length and all six angles are equal measure. Regular hexagons have interior angles of 120° each.

The area of the hexagon can be determined by dividing the hexagon into two equal trapezoid. Thus, the height will be divided into two. That is:

Area of hexagon = (5 + 9.28) * (8/2)

Area of hexagon = 14.28 * 4

Area of hexagon = 57.12 cm²

Learn more about hexagon on:

https://brainly.com/question/2292631

#SPJ1

Answer: 3/5 i think ;-; if its not well then uhhhhh sorry?

Step-by-step explanation:

Thus, the angle between the vectors u and v is θ = 5/4 radians or approximately 1.107 radians.

To find the angle between two vectors u and v, we can use the dot product formula:

u · v = |u| |v| cos(θ)

Where u · v is the dot product of u and v, |u| and |v| are the magnitudes of u and v, respectively, and θ is the angle between them.

Given u = (cos(3), sin(3)) and v = (cos(5/4), sin(5/4)), we can calculate the dot product as follows:

u · v = (cos(3))(cos(5/4)) + (sin(3))(sin(5/4))

Using the identity cos(a - b) = cos(a)cos(b) + sin(a)sin(b), we can simplify the dot product:

u · v = cos(3 - 5/4)

Now, let's calculate the angle θ using the inverse cosine function:

θ = cos^(-1)(u · v / (|u| |v|))

To find the magnitudes of u and v, we can use the Pythagorean theorem:

|u| = sqrt((cos(3))^2 + (sin(3))^2) = sqrt(1) = 1

|v| = sqrt((cos(5/4))^2 + (sin(5/4))^2) = sqrt(1) = 1

Substituting these values into the formula for θ:

θ = cos^(-1)(cos(3 - 5/4) / (1 * 1))

Simplifying further:

θ = cos^(-1)(cos(-5/4))

Since the cosine function is an even function, cos(-x) = cos(x). Therefore:

θ = cos^(-1)(cos(5/4))

To know more about vectors,

https://brainly.com/question/1412445

#SPJ11

The numbers are written in increasing order as below

1. -5, -4, +1, +2, +3

2. -9, -6, -2, +5, +7

3. -8, -5, -3, +3, +4

4. -6, +2, +5, +7, +8

5. -7, -6, -4, +4, +6

6. -9, -6, +5, +8, +9

7. -7, -5, -2, -1, +4

8. -5, +2, +3, +5, +6

9. -8, -6, -2, +4, +7

10. -7, -4, -3, +1, +8

The numbers are arranged using the concept of effect of negative sign to the value of a number.

When a large number is being attached with a negative sign the number becomes smaller. For instance 7 is larger than 3 but -7 is smaller than -3.

The numbers can be arranged by comparing with the order below

-10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

Learn more about arranging from smallest to largest at

https://brainly.com/question/31108251

#SPJ1

The height of the goal post is calculated as; 2.19 meters

The given parameters are:

Distance from football goalpost (D) = 10.05 m

Distance passed the mirror (d) = 7.1 m

Yasmin's height (h) = 1.55 m

Let H be the height of the goal post

To calculate the height (H) of the flagpole, we make use of the following equivalent ratios; D:d = H:h

Substitute the given values to get;

10.05/7.1 = H/1.55

Multiply both sides by 1.55 to get;

H = (10.05 * 1.55)/7.1

H = 2.19 m

Read more about Trigonometric ratios at; https://brainly.com/question/13276558

#SPJ1

Answer:

175 chairs left

not sure

Answer: 175

Step-by-step explanation: 23 times 8 - 9

23 rows with 8 each means you need to find the total amount of chairs you should multiply them and subtract 9.

The total electric force on the 7.00−μC charge is 0.872 N at an angle of 330°.

The force exerted on the 7.00−μC charge by the 2.00−μC charge is

F₁​ ​= \(k_{e}\)q₁q₂​​/r₂ r^

= [(8.99×10⁹N.m²/C²)(7.00×10^−6C)(2.00×10^−6C) ×(cos60°i^+sin60°j^​)]/ (0.500m)²

F₁ ​= (0.252i^+0.436j^​)N

Similarly, the force on the 7.00μC charge by the −4.00−μC charge is

F₂​ ​= \(k_{e}\)q₁​q₃/​r² ​​r^

= [(8.99×10⁹N.m²/C²)(7.00×10^−6C)(−4.00×10^−6C)​×(cos60°i^−sin60°j^​)]/(0.500m)²

F₂​ ​=(0.503i^−0.872j^​)N

Hence, the total force on the charge 7.00−μC  is

F = F₁​​+F₂​

​=(0.755i^−0.436j^​)N

We can also note the total force as:

F = (0.755N)i^−(0.436N)j^​ = 0.872N

To know more about electric force, here

https://brainly.com/question/29141236

#SPJ4

--This question is incomplete; the complete question is

"Three charged particles are located at the corners of an equilateral triangle, as shown in Figure. Calculate the total electric force on the 7.00−μC charge."--

Answer:

Half Angle & X

Step-by-step explanation:

edge 2022

The step contains an error is Half Angle & X.

We have given that,

A 2-column table with 8 rows. Column 1 is labeled Step with entries 1, 2, 3, 4, 5, 6, 7, and 8.

An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Column 2 is labeled Statement with entries cosine (2 x) = 1 minus 2 sine squared (x), let 2 x = theta, then x = StartFraction theta Over 2 EndFraction, cosine (theta) = 1 minus 2 sine squared (StartFraction theta Over 2 EndFraction), negative 1 + cosine (theta) = negative 2 sine squared (StartFraction theta Over 2 EndFraction), 1 + cosine (theta) = 2 sine squared (StartFraction theta Over 2 EndFraction), StartFraction 1 minus cosine (theta) Over 2 EndFraction = sine squared (StartFraction theta Over 2 EndFraction), sine (StartFraction theta Over 2 EndFraction) = plus-or-minus StartRoot StartFraction 1 minus cosine (theta) Over 2 EndFraction EndRoot.

We have determined the step contains an error.

Half Angle & X.

To learn more about the expression visit:

https://brainly.com/question/723406

#SPJ5

The area bounded by the two functions f(x) = −x2 4x 2 and g(x) = −2x is =64 unit

To find the area bounded by the two functions f(x) = −x2 + 4x + 2 and g(x) = −2x + 10, we must first determine where the two functions intersect.

To do this, we set the two functions equal to each other and solve for x:

−x2 + 4x + 2 = −2x + 10
−x2 − 2x + 8 = 0
(x − 4)(x − 2) = 0
x = 4, x = 2

Now, we can calculate the area of the bounded region between f(x) and g(x):

Area = ∫24(g(x) − f(x)) dx

Area = ∫24(−2x + 10 − (−x2 + 4x + 2)) dx

Area = ∫24(x2 − 2x + 8) dx

Area = [x3/3 − x2/2 + 8x]24

Area = (64/3) − (32/2) + (64) = 64

Therefore, the area bounded by the two functions is 64.

To know more about functions refer here:

https://brainly.com/question/1574265

#SPJ11

Answer:

-10$

Step-by-step explanation:

Kim and Anthony spent 10 dollars on business cards and it does not say how much Kim earned for the dog walk so the correct integer is -10$

Answer:

3.6=30%    3.6+12=15.6       $15.6

Step-by-step explanation:

I hope this helps! Have a fantastic fri-yay! May I have brainliest!

The absolute maximum of f(x) is e^(2pi), which occurs at x = 2pi, and the absolute minimum of f(x) is approximately -1.30, which occurs at x = 5*pi/4

a. To find the absolute maximum and minimum values of f(x), we can use the first derivative test and the endpoints of the given interval.

First, we find the first derivative of f(x):

f'(x) = e^xcos(x) - e^xsin(x)

Then, we find the critical points of f(x) by setting f'(x) = 0:

e^xcos(x) - e^xsin(x) = 0

e^x(cos(x) - sin(x)) = 0

cos(x) = sin(x)

x = pi/4 or x = 5*pi/4

Note that these critical points are in the domain [0, 2*pi].

Next, we find the second derivative of f(x):

f''(x) = -2e^xsin(x)

We can see that f''(x) is negative for x in [0, pi/2) and (3pi/2, 2pi], and f''(x) is positive for x in (pi/2, 3*pi/2).

Therefore, x = pi/4 is a relative maximum of f(x), and x = 5*pi/4 is a relative minimum of f(x). To find the absolute maximum and minimum of f(x), we compare the values of f(x) at the critical points and the endpoints of the domain:

f(0) = e^0cos(0) = 1

f(2pi) = e^(2pi)cos(2pi) = e^(2pi)

f(pi/4) = e^(pi/4)cos(pi/4) ≈ 1.30

f(5pi/4) = e^(5*pi/4)cos(5pi/4) ≈ -1.30

Therefore, the absolute maximum of f(x) is e^(2pi), which occurs at x = 2pi, and the absolute minimum of f(x) is approximately -1.30, which occurs at x = 5*pi/4.

b. To find the intervals on which f(x) is increasing, we look at the sign of f'(x) on the domain [0, 2pi]. We know that f'(x) = 0 at x = pi/4 and x = 5pi/4, so we can use a sign chart for f'(x) to determine the intervals of increase:

x 0 pi/4 5*pi/4 2*pi

f'(x) -e^0 0 0 e^(2*pi)

f(x) increasing relative max relative min decreasing

Therefore, f(x) is increasing on the interval [0, pi/4) and decreasing on the interval (pi/4, 2*pi].

c. To find the x-coordinate of each point of inflection of the graph of f, we need to find where the concavity of f changes. We know that the second derivative of f(x) is f''(x) = -2e^xsin(x), which changes sign at x = pi/2 and x = 3*pi/2.

Therefore, the point (pi/2, f(pi/2)) and the point (3pi/2, f(3pi/2)) are the points of inflection of the graph of f.

To learn more about maximum visit:

https://brainly.com/question/17467131

#SPJ11