please help
step by step

An identity function has one output value for each input value.

G is an identity function.

To find its equation apply the slope-intercept form:

y=mx +b

Where:

m= slope ( rise / run)

b= y-intercept ( where the function crosses the y axis)

By looking at the graph we can see that it crosses (0,0) so, b= 0.

And for every unit to right along the x-axis, it goes up by 1 unit along the y axis.

So, m= 1/1 = 1

Equation:

y = x

Answer:

B. 0

Step-by-step explanation:

Rate of change from x = -3 to x = 5

Rate of change = \( \frac{f(b) - f(a)}{b - a} \)

where, from the graph, we have:

a = -3, f(a) = -1,

b = 5, f(b) = -1,

Plug in the values

Rate of change = \( \frac{-1 -(-1)}{5 - (-3)} \)

Rate of change = \( \frac{0}{8} \)

Rate of change = 0

Answer:

14 students in band

21 students in sports

Step-by-step explanation:

First, divide 49 by 7. That way we can know the value of 1/7 in people.

49 / 7 = 7

1/7 is 7 people.

We multiply the numerator by 7 (which is 1/7.)

2 * 7 = 2/7

=14 students are in band.

3 * 7 = 3/7

=21 students in sports.

There are 14 students are in band and 21 students in sports in each activity.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

Given that  classroom of 49, if 2/7 of the students are in the band and 3/7 play sports.

First, WE need to divide 49 by 7. then we can know the value of 1/7 in people.

49 / 7 = 7

1/7 is 7 people.

Now We multiply the numerator by 7

2 x 7 = 2/7

=14 students are in band.

3 x 7 = 3/7

=21 students in sports.

Therefore, There are 14 students are in band and 21 students in sports in each activity.

Learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ2

Answer:

Area = 40

Perimeter = 26

Step-by-step explanation:

length = 8

width = 5

Area = 8 x 5 = 40

Perimeter = 2(8 + 5) = 26

The vertex of the given equation is (0,12) and (1, -10). The value of y-intercept will be -12.

Given equation :

y=(x−2)2−8

y = 2x - 4 - 8

= 2x - 12

The final equation is y = 2x - 12.

Compare this equation with slope and y-intercept formula :

y = mx+c

So that c = -12

The value of y-intercept according to the solution is -12.

To find the vertex. Let's assume x=0; Substitute in the equation

y = 2(0) -12

y = -12

The first vertex will be (0, -12)

If x = 1; y = 2(1) -12

y = -10

Then the second vertex will be (1, -10).

Hence, the vertex of the given equation is (0,12) and (1, -10). The value of y-intercept will be -12.

To know more about equation check the below link:

https://brainly.com/question/17145398

#SPJ1

The number that has a 4 in the hundred places.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

A 4 with a value ten times less than the 4 in the number 123,469.

First, the value of the 4 in the number 123,469 can be found by separating each digit as:

123,469 = 100,000 + 20,000 + 3,000 + 400 + 60 + 9

Then the value of the 4 is 400.

Now we want a number that has a 4 with a value then times less than 400. Then we have

400/10 = 40

Then we want a number that has a 4 in the hundred places.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ1

Answer:

Simplifying

x + 16 = -19

Step-by-step explanation:

Reorder the terms:

16 + x = -19

Solving

16 + x = -19

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-16' to each side of the equation.

16 + -16 + x = -19 + -16

Combine like terms: 16 + -16 = 0

0 + x = -19 + -16

x = -19 + -16

Combine like terms: -19 + -16 = -35

x = -35

Simplifying

x = -35

Step-by-step explanation:

jjzjznzijxmxnjxndksnndjxnz z

For a sample of study time in beginning and ending of semester of gvsu students.

95% confidence interval is ( 4.078, 4.602 ) and Upper bound is 4.602 and Lower bound is 4.078..

We have given that,

Sample size, n = 86

Standard deviations, sd = 1.24

Samle mean, X-bar = 4.34

Formula for confidence interval is

X-bar +- Z (sd/√n)

where, Z ---> test statistic value

Also, we have 95% confidence interval

Using the Z-table , we can get the value of z-statistic for 95% of confidence interval is 1.96 ..

Plugging all known values in above formula.

Confidence interval is

4.34± 1.96(1.24/√86)

=> 4.34 ± 1.96(0.1337)

=> 4.34 ± 0.2620

Upper bound of confidence interval is

4.34 + 0.2620 = 4.602

Lower bound of confidence interval is

4.34 - 0.2620 = 4.078

Hence, the upper and lower bounds of confidence interval are 4.602 and 4.078 respectively.

To learn more about Confidence interval, refer:

https://brainly.com/question/17212516

#SPJ4

Complete question:

Towards the end of the semester students are busy. Of all of the GVSU students, a sample of 86 students was taken. Study time per week at the beginning of the semester and study time at the end of the semester was recorded. The differences were then calculated End - Beginning. A sample mean difference of 4.34 hours/week with a corresponding standard deviation of 1.24 hours per week were found. Calculate a 95% confidence interval. (Remember to go to the hundredths place for both the upper and lower bounds.) Upper bond=? and

Lower bond=

Answer:

Na+ and Cl- should be examples of an ion.

<Hope I answered your question>

Answer:

Na+ and Cl- should be examples of an ion.

Step-by-step explanation:

Answer:

0.96 in^3

Step-by-step explanation:

Are those the only three choices? Anyway, I hope this helps

Answer: I am going to put a link

maybe its going to help you?

Step-by-step explanation:

http://s3.amazonaws.com/illustrativemathematics/illustration_pdfs/000/001/217/original/illustrative_mathematics_1217.pdf?1390751150

What is probability?

"Probability is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."

The probability distribution for X = the amount of money a player wins (or loses) in a single game is as follows:

X Probability of X+$5 0.60-$10 0.40E(X)

= 5 × 0.60 + (−10) × 0.40

= 3 − 4 = −1

This means there is an average loss of $1 per game in the long run.

The message should tell Phil not to go forward with his plan of playing the game many, many times as the plan will not make money for him in the long run as he had hoped. The message should communicate in non-technical terms that a player will lose a dollar per game on average in the long run, and thus there is no long term gain to be made from playing the game many, many times.

Learn more about Probability here

brainly.com/question/11234923

#SPJ2

The system of equations to find the original number is;a = 3b +1 and (10a + b) - (10b +a) = 45

From the task content;

Hence, the required system of equations is;

On this note, the required numbers can be evaluated from the equations above;

Read more on system of equations;

https://brainly.com/question/13729904

#SPJ1

Answer:

\((\frac{1}{2}+\frac{\sqrt{3}}{2}i)^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

Step-by-step explanation:

Convert 1/2 + i√3/2 to rectangular form

\(\displaystyle z=a+bi=\frac{1}{2}+\frac{\sqrt{3}}{2}i\\\\r=\sqrt{a^2+b^2}=\sqrt{\biggr(\frac{1}{2}\biggr)^2+\biggr(\frac{\sqrt{3}}{2}\biggr)^2}=\sqrt{\frac{1}{4}+\frac{3}{4}}=\sqrt{1}=1\\\\\theta=\tan^{-1}\biggr(\frac{b}{a}\biggr)=\tan^{-1}\biggr(\frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}\biggr)=\tan^{-1}(\sqrt{3})=\frac{\pi}{3}\\\\z=\cos\frac{\pi}{3}+i\sin\frac{\pi}{3}\)

Use DeMoivre's Theorem

\(\displaystyle z^n=r^n(\cos(n\theta)+i\sin(n\theta))\\\\z^5=1^5\biggr(\cos\biggr(\frac{5\pi}{3}\biggr)+i\sin\biggr(\frac{5\pi}{3}\biggr)\biggr)\\\\z^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

Answer:

Step-by-step explanation:

When a number is taken by the square root, it will always come out positive. Looking at |x| = 5, there are two solutions for this that being 5 and -5.

|5| = 5

|-5| = 5

So if we plug those solutions into the expression x + 7, we get two different answers.

5 + 7 = 12

-5 + 7 = 2

For the given function the intercepts are:

x-intercept: x = -4

y-intercept: y = 12.

Here we have a table that defines a function, and we want to find the intercepts of said function.

We can assume it is linear, then the slope of the function will be given by:

a = (9 - 3)/(-1 + 3) = 6/2 = 3

The linear function is like:

y = 3x + b

To find the value of b we can replace the values of the last point on the table, x = 2 and y = 18.

18 = 3*2 + b

18 = 6 + b

18 - 6 = b = 12

The linear function is:

y = 3x + 12

The x-intercept is the value of x when y = 0

0 = 3*x + 12

-12 = 3x

-12/3 = x = -4

And the y-intercept is the value of y when x = 0.

y = 3*0 + 12

y = 12

Learn more about intercepts at:

https://brainly.com/question/1884491

#SPJ1

like this...

Answer:

1) vertical angles

2) corresponding angles/

3) alternate interior

4) supplementary

5) congruent

6) 196°

Step-by-step explanation:

1) vertical angles

2) corresponding angles/

3) alternate interior

4) supplementary

5) congruent

6) 196°

Answer:

\(\displaystyle \frac{dy}{d\theta} = \frac{1}{\theta -4} -e^\theta\)

Step-by-step explanation:

We are given the function:

\(\displaystyle y = \ln \left( \theta - 4 \right) - e^\theta\)

And we want to find dy/dθ.

Take the derivative of both sides with respect to θ:

\(\displaystyle \frac{dy}{d\theta} = \frac{d}{d\theta}\left[ \ln \left(\theta - 4\right) - e^\theta\right]\)

Rewrite:

\(\displaystyle \frac{dy}{d\theta} = \frac{d}{d\theta}\left[ \ln\left(\theta -4\right)\right] - \frac{d}{d\theta}\left[e^\theta\right]\)

Differentiate. The first differentiation requires the chain rule:

\(\displaystyle \begin{aligned}\frac{dy}{d\theta} & = \frac{1}{(\theta - 4)}\cdot \frac{d}{d\theta}\left[ \theta -4\right] - (e^\theta) \\ \\ & = \frac{1}{\theta -4} - e^\theta \end{aligned}\)

In conclusion:

\(\displaystyle \frac{dy}{d\theta} = \frac{1}{\theta -4} -e^\theta\)

Step-by-step explanation:

\(y = \ln( \theta - 4) - {e}^{ \theta} \)

\( \frac{dy}{d \theta} = \frac{d}{d \theta} ( \ln( \theta - 4) ) - \frac{d}{d \theta} ( {e}^{ \theta} )\)

\( \frac{dy}{d \theta} = \frac{d}{d \theta}( \theta - 4). \frac{1}{\theta - 4} - {e}^{ \theta} \)

\( \frac{dy}{d \theta} = 1.\frac{1}{ \theta - 4} - {e}^{ \theta} \)

\( \frac{dy}{d \theta} = \frac{1}{ \theta - 4} - {e}^{ \theta} \)

The area of the remaining part of a large rectangle is 8m².

It should be noted that the original rectangle had sides of 8m by 6m.

In this case, it was stated that 4m was cut out from each side. The value of the remaining sides will be:

Area = Length × Width

Area = (8 - 4) × (6 - 4)

Area = 4 × 2

Area = 8m²

Therefore, the area of the remaining part of a large rectangle is 8m².

Learn more about rectangles on:

brainly.com/question/17092411

#SPJ1

9514 1404 393

Answer:

  D.  5, 7, 12 cm

Step-by-step explanation:

In order for sides lengths to be able to form a triangle, the sum of the shortest two must exceed the longest. That is the case for all except D.

 5 cm + 7 cm = 12 cm . . . . . is not greater than 12 cm

Answer:

30% of the people surveyed in the mall go to movies at least once in a month

Step-by-step explanation:

A descriptive statistic would refer to a summary where it explain in quantitative way from the information collected also it it is used to analyze it. The parameter and descriptive statistics would be the percentage for the surveyed people that goes to the mall for watching out the movies at least for one time in a month

Here 30% come from

= 36 ÷ 120

= 30%

Answer:

Length=17

width=13

Step-by-step explanation:

W=width

L=length

Perimeter = 2w+2l since it's a rectangle

W=l-4 (given)

Plug into perimeter equation

Perimeter =(2l-8)+2l

=4l-8

60=4l-8

68=4l

17 =l

W=l-4=17-4=13

Answer: 225

Step-by-step explanation:

Create a ratio part/whole for radians = part/whole for degrees

\(\frac{\frac{5\pi }{4} }{2\pi } = \frac{x}{360}\)      Keep change flip because you are dividing fractions for left side

\(\frac{5\pi }{4} (\frac{1}{2\pi }\)) = \(\frac{x}{360}\)

\(\frac{5}{8} (\frac{360}{1} ) =x\)

x = 225

Answer:

Principal = 20833.334

Step-by-step explanation:

simple interest = $5000.

Rate = 3%

Time = 8 years.

Principal = ?

Principal =

\( = \frac{100 \times simple \: interest}{r \times t} \\ = \frac{100 \times5000 }{3 \times 8} \\ = \frac{500000}{24 \\ } \\ = 20833.334\)

Principal = $20833.334.

Answer:)Angle FIH and GIE after keeping angle EIH at 140° is 40° while ∠FIG will is the opposite angle of ∠EIH so it will remain the same as 140°.

Step-by-step explanation:We need to intersect both lines and make ∠EIH > 135°

So,Let's keep ∠EIH = 140°

Then,∠FIG = 140° (opposite angle)∠FIH = ∠GIE = x (opposite angle)

Now,The Sum of all angles around I will be 360 degrees.

So,140 + x + 140 +  x = 360 ,2x + 280 = 360, 2x = 80 ⇒ x = 40°.