. Find the inverse of each of the following bijections. (a) u: Q ? Q, u(x) = 3x-2. (b)v: Q-{1} ? Q-{2}, v(x) = (2x)/(x-1) (c) w: Z ? Z, w(n) = n + 3

The coordinates of point R are (5.17, 7.33), which is answer choice C.

To find the coordinates of point R, we can use the formula for finding the coordinates of a point that divides a line segment into a given ratio:

R = [(1 - ratio) * A + ratio * B] / (1 + ratio)

In this case, the ratio is 1 : 5, which means that point R divides the line segment EF into a ratio of 1 : 5. The coordinates of points E and F are (4, 8) and (11, 4), respectively. Plugging these values into the formula, we get:

R = [(1 - (1/6)) * (4, 8) + (1/6) * (11, 4)] / (1 + (1/6))

= [(5/6) * (4, 8) + (1/6) * (11, 4)] / (6/6)

= [(20/6, 40/6) + (11/6, 4/6)] / (6/6)

= [(20/6 + 11/6, 40/6 + 4/6)] / (6/6)

= [(31/6, 44/6)] / (6/6)

= [(31/6)/(6/6), (44/6)/(6/6)]

= (31/6, 44/6)

= (5.17, 7.33)

Thus, the coordinates of point R are (5.17, 7.33), which is answer choice C.

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The coordinates of point r to be (5.17, 7.33) which is in option c.

To calculate the coordinates of point r, we must first determine the length of each section of the line segment. To do this, we can use the distance formula. The distance formula is given by d = √( (x2-x1)^2 + (y2-y1)^2 ). Using this formula, we can calculate the length of the line segment connecting points e and f to be 7 units.

We can then use the ratio of 1:5 to calculate the length of each segment. The length of the section starting at e is 1/6 of the total distance (7 units). The length of the section starting at f is 5/6 of the total distance (7 units).

To find the coordinates of point r, we can use the midpoint formula. The midpoint formula is given by (x, y) = ( (x1 + x2)/2, (y1 + y2)/2 ). Using this formula, we can calculate the coordinates of point r to be (5.17, 7.33). Therefore, the correct answer is c. (5.17, 7.33).

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The numbers on the left, or y-axis, represents the number of students studying for each time spent. 12 students spent 2 or more hours studying while ? students spent fewer than 2 hours a night studying.

A bar graph is a chart that uses bars to represent different values or quantities. The bars can be arranged horizontally or vertically, and they can be of different heights or lengths to indicate the size of the value or quantity they represent. Bar graphs are often used to compare data and to show trends over time. They are also called bar charts or column charts.

The bar graph shows the number of hours spent studying on the x-axis while the number of students on the y-axis.

Analyzing the bar graph, there are 12 students who spent 2 or more hours studying.

2-2:59 ⇒ 7

3-3:59 ⇒ 4

4-4:59 ⇒ 1

7 + 4 + 1 = 12

On the other hand, there are 8 students who spent fewer than 2 hours a night studying.

0-0:59 ⇒ 3

1-1:59 ⇒ 5

3 + 5 = 8

Hence, 12 students spent 2 or more hours studying while 8 students spent less than 2 hours.

The problem seems incomplete, it must be...

"A bar graph titled Time Students Spent Studying with hours on the x-axis and students on the y-axis. 3 students spent 0 to 59 minutes, 5 students spent 1 to 1 hour and 59 minutes, 7 students spent 2 to 2 hours and 59 minutes, 4 students spent 3 to 3 hours and 59 minutes, and 1 student spent 4 to 4 hours and 59 minutes.

Use the drop-down menus to answer the questions.

What do the numbers on the left, or y-axis, represent?

How many students spent 2 or more hours studying?

How many students spent fewer than 2 hours a night studying?"

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Answer:

Number of students

12

8

Step-by-step explanation:

The compound inequality for the given situation is $2.75x + $4.25y ≥ $65 and $2.75x + $4.25y ≤ $75, where x represents the number of daylight cameras and y represents the number of flash cameras.

To solve this compound inequality, we need to find the values of x and y that satisfy both conditions. The inequality $2.75x + $4.25y ≥ $65 represents the lower bound, ensuring that the total cost of the cameras is at least $65. The inequality $2.75x + $4.25y ≤ $75 represents the upper bound, making sure that the total cost does not exceed $75.

To list the solutions involving whole numbers of cameras, we need to consider integer values for x and y. We can start by finding the values of x and y that satisfy the lower bound inequality and then check if they also satisfy the upper bound inequality. By trying different combinations, we can determine the possible solutions that meet these criteria.

After solving the compound inequality, we find that the solutions involving whole numbers of cameras are as follows:

(x, y) = (10, 10), (11, 8), (12, 6), (13, 4), (14, 2), (15, 0), (16, 0), (17, 0), (18, 0), (19, 0), (20, 0).

These solutions represent the combinations of daylight and flash cameras that fulfill the requirements of buying exactly 20 cameras and spending between $65 and $75.

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Answer:

I wish I could help but I'm not good with these type of questions :(( .

Step-by-step explanation:

I hope someone does help you tho

Answer:

I think they have the same potential energy

Step-by-step explanation:

9/12 is equal to 3/4

Answer:

c=2(3.14)r

r= 5inches

c=2•3.14•5

c=31.4 inches

Answer:

d. \(\angle BIJ \cong \angle CGJ\ and\ \angle BJI \cong \angle CJG\)

Step-by-step explanation:

Here, we are given a diagram in which there are two triangles to be considered:

\(\triangle CJG \ and\ \triangle BJI\).

We can consider the whole diagram in the form as attached in the answer area.

To find:

The conditions to prove \(\triangle CJG \sim \triangle BJI\).

Solution:

First of all, let us learn about AAA similarity.

AAA stands for Angle Angle Angle.

i.e. when we prove that the all the three corresponding angles of two triangles are equal ,the triangles are similar.

There is one more property of the triangles, that if two angles of two triangles are equal then the third angle of the triangles will also be equal to each other.

So, actually, to prove that \(\triangle CJG \sim \triangle BJI\), we need the conditions that two corresponding angles of the triangles are equal to each other, then we can say that third angle will also be equal. Therefore the triangles will be similar to each other.

Let us consider the corresponding angles:

\(\angle BIJ \ and \ \angle CGJ\ ,\ \angle BJI \ and \ \angle CJG\ , \ \angle IBJ\ and \ \angle GCJ\)

So, if we are given that any of the two above three pairs are equal/congruent to each other, we can prove \(\triangle CJG \sim \triangle BJI\).

Therefore, the correct answer is:

d. \(\angle BIJ \cong \angle CGJ\ and\ \angle BJI \cong \angle CJG\)

Answer: The transformation of an object is a great example of how the object can be shown in many different forms but all of the meanings are the same thing.

Step-by-step explanation:

Some of the examples of situations of transformation where the image of the object appear different but they still mean the same thing like

-The rigid transformation of geometric and three-dimensional shapes.

-The transformation of bank notes to an electronic form of money.

-The transformation of liquid water to ice and steam.

-The transformation of cube sugar to granulated sugar.

When you're talking about mathematical terms of transformation, even if the polygon is in many different size and shapes on the graph, it's still technically a polygon.

So if you have seen something that appears different, but its meaning remains the same, it could most likely be a transformation or many other terms.

Answer:

Domain: All real numbers greater than or equal to 0 and less than or equal to 50

Range: All real numbers greater than or equal to 0 and less than or equal to 100

Step-by-step explanation

The workout is at 100% at 50 mins. Anything less would be under these two numbers.  Since the percentage of workout is on the y-axis, anything between zero and 100 can be possible. The time is on the x-axis, so anything 0 to 50 can be possible.  

Answer:

Mistake was subtracting x rather than adding x in the first step

The true answer is x = - 4

Step-by-step explanation:

Lets first solve the equation so we can compare to identify where the mistake is.

6 - x = 5x + 30

==> add x to both sides

6 = 6x + 30

==> subtract 30 from both sides

-24 = 6x

==> divide both sides by 6

-4 = x is the correct answer.

After comparing our work with their work, the mistake seems to be made in the first step. They subtracted x from both sides rather than adding x to both sides. This is wrong because the inverse of subtraction is addition.

Standard deviation and beta are both measures of risk, however Beta is used to measure systematic risk. The correct answer is option (B), beta measures only systematic risk.

Standard deviation and beta are both measures of risk, however, there are differences between them. Standard deviation is a measure of the variation or dispersion of a set of data values. It shows the average deviation of each value from the mean. It is expressed in the same units as the original data.

Beta, on the other hand, is a measure of the systematic risk of an investment relative to the market as a whole. It reflects the extent to which the return on a particular security or portfolio moves with the overall market, and is often used in the Capital Asset Pricing Model (CAPM) to estimate the required rate of return for an investment. It measures the sensitivity of the security's returns to the market.

The systematic risk of an investment is the risk that is associated with the market as a whole, rather than with a particular security. It is often referred to as market risk because it is based on factors that affect the entire market, such as changes in interest rates, inflation, or economic conditions.

Unsystematic risk, on the other hand, is the risk that is specific to a particular security or industry, and is caused by factors that affect that particular security or industry, such as management changes, lawsuits, or other events that affect the company's operations.

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The quadratic is continuous over its entire domain, which is to say we can evaluate the limit by direct substitution:

\(\displaystyle \lim_{x\to-3} (x^2 - 2x + 4) = (-3)^2 - 2(-3) + 4 = 9 + 6 + 4 = \boxed{19}\)

You are mistaking (-3)² for -3². They are not the same number.

(-3)² = (-1 × 3)² = (-1)² × 3² = 1 × 9 = 9

-3² = -1 × 3² = -1 × 9 = -9

Answer: $40

Step-by-step explanation:

If they want you to explain it as  “m” then you might have to show it like this:

$160-$120=m

I hope this helped! :)

The correct answer is Beta. In this case, it is more important to make the Beta error as low as possible.

This is due to the Beta error being a false negative, which would suggest that the lead levels did not go above the permitted limit even though they did.

As a result, the park would continue to be open and the general public would be exposed to a potentially dangerous situation.

On the other side, a false positive (also known as an Alpha error) would cause the park to be closed without a need and would prevent the public from accessing a secure park.

Making the Beta error as small as feasible is therefore more crucial in order to protect the public from unwarranted dangers.

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Answer:

60 cups

Step-by-step explanation:

Mrs. Jackson bought 4 gallons of juice for a party. Each gallon has 16 cups.

From the above question:

1 gallon of juice = 16 cups

Then:

4 gallons of juice = c

Cross Multiply

1 × c = 4 × 16 cups

c = 64 cups of juice

Hence, 4 gallons of juice = 64 cups of juice

We are told that :

After the party, 4 cups of juice were left over.

The cups of juice people drank at the party is calculated as:

Total cups of juice - Number of cups of juice left over.

64 cups of juice - 4 cups of juice

= 60 cups of juice

Answer:

6

explanation

\(since \: they \: are \: similar \\ \frac{x + 2}{32} = \frac{3}{12} \\ crossmultiplying \\ 32 \times 3 = 12(x + 2) \\ 96= 12x + 24 \\ 12x = 96 - 24 \\ 12x = 72 \\ dividing \: bothsides \: y \: 12 \\ x = \frac{72}{12} \\ x = 6\)

Answer:

Yes

Step-by-step explanation:

I see no mathematical reason this could not happen. It has three sides which is what makes a triangle.

The exact values of c in increasing order are: c = (10 - sqrt(7)) / 3, (10 + sqrt(7)) / 3

To verify that Rolle's Theorem can be applied to the function f(x) = x³ - 10x² + 31x - 30 on the interval [2, 5], we need to check if the following conditions are satisfied:

Let's check each condition:

f(x) = x³ - 10x² + 31x - 30 is a polynomial function and is continuous for all real values of x. So, it is continuous on [2, 5].

To check the differentiability, we need to find f'(x):

f'(x) = 3x² - 20x + 31.

The derivative f'(x) exists and is continuous for all real values of x. So, f(x) is differentiable on (2, 5).

Now, let's evaluate f(2) and f(5):

f(2) = (2)³ - 10(2)² + 31(2) - 30 = -10

f(5) = (5)³ - 10(5)² + 31(5) - 30 = 95

Since f(2) = -10 is not equal to f(5) = 95, we can conclude that Rolle's Theorem can be applied to the function f(x) = x³ - 10x² + 31x - 30 on the interval [2, 5] after differentiable.

To find the values of c in the interval (2, 5) such that f'(c) = 0, we need to solve the equation f'(c) = 3c² - 20c + 31 = 0.

Using quadratic formula:

c = (-(-20) ± sqrt((-20)² - 4(3)(31))) / (2(3))

c = (20 ± sqrt(400 - 372)) / 6

c = (20 ± sqrt(28)) / 6

c = (20 ± 2sqrt(7)) / 6

c = (10 ± sqrt(7)) / 3

The values of c in the interval (2, 5) such that f'(c) = 0 are:

c = (10 + sqrt(7)) / 3

c = (10 - sqrt(7)) / 3

Therefore, the exact values of c in increasing order are: c = (10 - sqrt(7)) / 3, (10 + sqrt(7)) / 3.

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Incomplete question:

Verify that Rolle's Theorem can be applied to the function f(x) = x³ - 10x² +31x-30 on the interval [2, 5]. Then find all values of c in the interval such that f' (c) = 0.

Enter the exact answers in increasing order.

To enter √a, type sqrt(a)

c = ?

Answer:

2.64

Step-by-step explanation:

b*h=5.28

5.28/2=2.64

Answer:

-0.8 is the correct answer of this question

Answer:

-16/45

Step-by-step explanation:

When you mulitply these two fractions together it's best to muliteply them by the number across so therefore 8x-2= -16 and 15x3= 45 which you end up with -16/45

Answer:

The answer is 35

Step-by-step explanation:

70 divided by 2 is 35 which would be 35 miles per hour which would be your unit rate.

Answer:

It is a function

Step-by-step explanation:

The x-values do not repeat so it is a function.

In the given difference equation, all the terms on the right side have indices equal to or less than \( n \), indicating that the output \( y(n) \) depends only on the current and past values of the input \( x(n) \) and output \( y(n) \).

The given difference equation is:

\[ y(n) = 0.1y(n-1) + 0.72y(n-2) + 0.7x(n) - 0.252x(n-2) \]

To find the impulse response of the system, we can set \( x(n) = \delta(n) \), where \(\delta(n)\) is the unit impulse function.

Plugging \( x(n) = \delta(n) \) into the equation, we have:

\[ h(n) = 0.1h(n-1) + 0.72h(n-2) + 0.7\delta(n) - 0.252\delta(n-2) \]

The above equation represents the impulse response of the system. Now, we can solve for \( h(n) \) by solving the recurrence relation.

Starting with \( n = 0 \):

\[ h(0) = 0.1h(-1) + 0.72h(-2) + 0.7\delta(0) - 0.252\delta(-2) \]

\[ h(0) = 0.1h(-1) + 0.72h(-2) + 0.7 - 0.252\delta(-2) \]

Since \(\delta(-2) = 0\), the last term becomes zero:

\[ h(0) = 0.1h(-1) + 0.72h(-2) + 0.7 \]

Moving to \( n = 1 \):

\[ h(1) = 0.1h(0) + 0.72h(-1) + 0.7\delta(1) - 0.252\delta(-1) \]

\[ h(1) = 0.1h(0) + 0.72h(-1) + 0.7 - 0.252\delta(-1) \]

Again, \(\delta(-1) = 0\), so the last term becomes zero:

\[ h(1) = 0.1h(0) + 0.72h(-1) + 0.7 \]

Continuing this process, we can calculate the values of \( h(n) \) for each \( n \) using the given difference equation and initial conditions.

Regarding the stability of the system, we need to examine the magnitude of the coefficients in the difference equation. If the absolute values of all the coefficients are less than 1, then the system is BIBO stable (bounded-input bounded-output). In this case, the coefficients are 0.1, 0.72, 0.7, and -0.252, which are all less than 1 in magnitude. Therefore, the system is BIBO stable.

To determine causality, we need to check if the system's output at time \( n \) depends only on the current and past values of the input. If so, the system is causal.

In the given difference equation, all the terms on the right side have indices equal to or less than \( n \), indicating that the output \( y(n) \) depends only on the current and past values of the input \( x(n) \) and output \( y(n) \).

Therefore, the system is causal.

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Answer:x intercept is where the line is crossing the x axis or where y=0

y intercept is where the line crosses the y axis or where x=0

to find them, set other ting to zero

3/5x+1/3y=1/15

xintercept, set y=0

3/5x+1/3(0)=1/15

3/5x+0=1/15

3/5x=1/15

times 5/3 both sides

x=1/9

xintercept is x=1/9

yintercet

set x=0

3/5(0)+1/3y=1/15

0+1/3y=1/15

1/3y=1/15

times 3/1 both sides

y=1/5

yintercept is y=1/5

xint is x=1/9

yint is y=1/5

Step-by-step explanation:

The equation of line is ( 3/5 )x+ ( 1/3)y = ( 1/15 ) , where x-intercept of the line is ( 1/9 , 0 ) and the y-intercept of the line is ( 0 , 1/5 )

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

( 3/5 )x+ ( 1/3)y = ( 1/15 )

To find the x-intercept of the line, we set y = 0 and solve for x:

3/5x + 1/3(0) = 1/15

3/5x = 1/15

x = (1/15) ÷ (3/5) = 1/9

So the x-intercept of the line is (1/9, 0)

To find the y-intercept of the line, we set x = 0 and solve for y:

3/5(0) + 1/3y = 1/15

1/3y = 1/15

y = (1/15) ÷ (1/3) = 1/5

So the y-intercept of the line is (0, 1/5)

Hence , the equation of line is solved

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The problems realted to doubling growth rate is solved using an exponential model. If it takes 80 minutes to fill the container, then it will take 79 minutes to fill one half of the container. The dealing sequence is a,a²,a⁴, a¹⁶,...... where a is intial amount.

An exponential model, is used here. The reason for this is that the growth rate is very high which an exponential model can accurately replicate. We have a yeast population is doubling in the container every minute. That is if it's population in container is half at present then the container become full filled in next minute. This also means is that if we know the quantity after a certain number of minutes, the quantity a minute earlier must have been half of that. Let the intial amount be 'x'. Total time taken by yeast to fully fill up the container = 80 minutes

We have to determine the time it take to fill one half of the container. Now, the container gets full in 80 minutes. Half of this quantity must have been meant that the container was half full. Thus, the container was half full 79 minutes after the yeast was put in it. We are dealing with a sequence something like that a, a², a⁴,___.

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Answer:

i think c and e since it will end with a negative value

\(\huge\mathbb\purple{AnSwEr}\)

\(\huge❤\bold\red{Hello}❤\)

Hey mate 4 is your Answer

\(My \: pleasure \: to \: help \: you \: anytime.\)

\(Mark \: me \: as \: brainliest .\)

\( \huge \mathscr \pink \star\underline {Follow \: me } \red \star\)

Answer:

4 friends

Step-by-step explanation:

Step-by-step explanation:

Gradient = Coefficient of x = -1.