Two different functions are represented by this graph and this table:

how does equation look in session history???

Solution:

The reciprocal identities of trigonometry include the identities below

The quotient identity include the identities below

The sum formula of trigonometric identity include

The double-angle formula is given below as

Hence,

The final answer is QUOTIENT IDENTITY

Answer:

322.5 square centimeters

Explanation:

To convert from square inches to square centimeters, we need to multiply the number by the conversion factor 6.45, so 50 in² are equivalent to:

50 in² x 6.45 = 322.5 cm²

Therefore, the answer is 322.5 square centimeters.

The slope of a line

It is a parameter that can help us to know the behavior of a line, specifically if it's increasing, decreasing

From the question, we have a linear function for the cost of each pumpkin, and this function is:

As we can see, the cost for one pumpkin is:

Now, to find the cost for 25 pumpkins, we need to substitute the value of x = 25 into the function, since this is a function that gives us the cost as a function of the number of pumpkins:

As we can see, we multiply 2.75 times 25, and we got 68.75.

Therefore, in summary, it will cost $68.75 for 25 pumpkins.

The horizontal arrows denote that segments RS and VT are parallel. This means that angleR and angleV are congruent. Similarly, angleS and angleT are congruent. They are denoted in blue and red color, respectively:

Therefore,

by the AA-theorem (angle-angle theorem). That is because:

Now, lets find the missing measure x. Since the above triangles are similar, we have

which gives

By multiplying both side by 3, we get

and by multiplying both side by 4, we have

then, x is given as

therefore, we obtain

then, the missing side x measures 1/3.

Now, lets find y. In this case, we have

then, it yields

by multipluying both sides by 3, we have

Therefore, the missing side y measures 1/2.

The given ellipse is

Where A(15, f(15)), B(20, f(20)).

First, we find f(15) and f(20) by evaluating the given expression

We use the same process to find f(20).

So, the points are A(15, 19.2) and B(20, 15). To find the distance between these points, we have to use the distance formula

If the shirt costs 25 and the discount is 18%, then the amount discounted is shown as follows;

The discount is $4.5.

If 40% of students passed out of 120, then the number that passed is shown below;

The number of students that passed is 48

Answer: 7. $20.50 & 8. 48 students

Step-by-step explanation:

m = 6

The given equation is:

Cross multiply:

100m = 60 x 10

100m = 600

Divide both sides by 100

The missing numerator is 6

The width of the television is 23 in.

A rectangle is a closed 2-D shape, having 4 sides, 4 corners, and 4 right angles. The opposite sides of a rectangle are equal and parallel.

Given that, A television's length is 3 inches more than twice its width the perimeter of the television is 144 inches

Perimeter of a rectangle = 2(length+width)

According to question,

l = 3+2w

Therefore,

Perimeter = 2(w + 3+2w) = 144

3w + 3 = 72

3w = 69

w = 23

Hence, The width of the television is 23 in.

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Given:

Points A(-2,-3),B(-2,4),and C(3,6) are three vertices of parallelogram ABCD.

As we know, the opposite sides of the parallelogram are parallel and congruent

To draw the parallelogram, we will draw the points and connect the sides

AB, AC, and BC

then, draw two lines parallel to AB from C and BC from A, the intersection will give the point D

The graph of the parallelogram will be as shown in the following picture

As shown the coordinates of the fourth point D = (3, -1)

Given expression:

Expanding:

Simplifying the expression:

Answer:

A 95% confidence interval for the percentage of voters who choose Candidate A is (0.3,0.3).

Given that,

1750 American voters were chosen at random to participate in a poll on their presidential candidate preferences. 28% of those polled indicated they favored Candidate A.

We have to find determine a 95% confidence interval for the percentage of voters who choose Candidate A.

We have a sample size=1750

28% preferred candidate A.

Margin of error = Z[tex]\sqrt{P(1-P)/n}[/tex]

Where, z=1.96 at 95%

P=0.28

n=1750

ME = 1.96[tex]\sqrt{0.28(1-0.28)/1750}[/tex]

ME = 1.96[tex]\sqrt{0.28(0.72)/1750}[/tex]

ME = 1.96[tex]\sqrt{0.2016/1750}[/tex]

ME = 1.96[tex]\sqrt{0.000152}[/tex]

ME = 0.021

For confidence interval is

CI= 0.28±0.021

CI= (0.28+0.021,0.28-0.021)

CI = (0.301, 0.259)

For the nearest tenth,

CI = (0.3,0.3)

Therefore, A 95% confidence interval for the percentage of voters who choose Candidate A is (0.3,0.3).

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From the definition, it must have symmetry in the present figure. It seems to be a vertical line going through the middle of the drawing. From this, we can say that:

Now, we can solve it.

The Solution:

Representing the given in a diagram, we have

By similarity theorem, we have that:

So,

Substituting these values in the formula above, we get

Solving for x:

We shall cross multiply,

Dividing both sides by o.21, we get

The height of the tower is

Therefore, the correct answer is 138 meters.

The radius of the bike wheel is given as 13 inches. One rotation would be equal to the entire circumference of the bike wheel. Hence;

Male students. 14

Female students: 16

Total students: 30

Since there are 2 male juniors, the probability of being junior and male is: 6.67%

If we round to the nearest whole porcent: 7%

R(1, 8) >> R'(10, -10) ........(x+9, y-18)

V(-2, -10) >> V'(5, -3).......(x+7, x+7)

U(3, -9) >> U'(10, -16).......(x+7, y-7)

T(-4, 7) >> T'(-11, 14)..........(x -7, y+7)

When a pont A(x, y) is translated by a in the x-axis, and b in the y-axis, the new point becomes A'(x+a, y+b)

For the expression R(1, 8) >> R'(10, -10)

The coordinates of R' ae formed using the expression (x+9, y-18)

For the expression V(-2, -10) >> V'(5, -3)

The coordinates of V' are formed by using the expression (x+7, x+7)

For the expression U(3, -9) >> U'(10, -16)

The coordinates U' are formed by using the expression (x+7, y-7)

For the expression T(-4, 7) >> T'(-11, 14)

The coordinates T' are formed by using the expression (x -7, y+7)

WE can find the sides if the triangle by apply the Sine rule :

where, a,b & c are the sides of triangle

For eg :

Consider an triangle with one side AB = 5

and angles A = 60, angle B = 45 and angle C= 75

So, substitute the value in the expression of Sine

The sides : AB = 5, AC = 3.66 & BC = 4.4

In this case, we have a proportional relationship, since the cost varies directly with the days, this means that as x increases, y increases, and as x decreases, y decreases. A proportional relationship has the form:

y=kx

Where k is the constant of proportionality.

The ratio between them (x and y) is always the same, in this case, the ratio or constant of proportionality is 40, since each day the rent cost increases $40, then:

Constant of proportionality = 40 , replacing 40 for k into the above equation, we get:

equation: y = 40x

We can use this equation to find some pair of values (x,y) to fill the table, like this:

For x equals 2:

y= 40*2 = 80

For x equals 3:

y= 40*3 = 120

For x equals 4:

y=40*4 = 160

For x equals 5:

y=40*5=200

Then, we can fill the table as follows:

We can also use these data to graph the relationship, by taking the point (5,200) and joining it to the origin, we get:

We know that

• She earned an 88% on her first test.

• She earned an 80% on her second test.

To know her average score, we just have to sum these percentages and divide them by 2, since they are just 2.

As the given vertices are at a distance of 12 units:

As the major axis is vertical you have the next generall equation:

To find the center (h,k) of the ellipse use the coordinates of that vertices as follow:

Now use the distance between those vertices to find a:

b is the distance of minor axis divided into 2:

Then, you get the next equation for the given ellipse:

the answer are:

1. A(X +Y),,B (X+Y) OR d(A,B)

2. If two segments having the same length are congruent segments.This is written as for example: AB is congruent with CD.

AB=CD

3. AC=B, because B is inside points A and C it means that it was the additional point to add and arrive at C.

SOLUTIONS

To determine the equation of the power function? Why or why not? If you can, find the equation of the power

It is easy to get the graph of the exponential function since x - value = 4 and y - value = 2.

An exponential function is defined by the formula f(x) = x^a, where the input variable x occurs as an exponent. The exponential curve depends on the exponential function and it depends on the value of the x.

The general equation of an exponential function is

Given the table:

Х f(x)

-6 34

-5 3

-4 -10

-3 -11

-2. -6

-1 -1

0 -2

1 -15

Let's find the increasing intervals.

A function is increasing over the interval when the values of f(x) increases as the values of x increases.

At the interval:

From x = -3 to x = -1, the values of f(x) increases from -11 to -1.

Therefore, the interval of x-values over which the function is increasing is:

(-3, -1)

ANSWER:

(-3, -1)

give the following from the question:

the organizer will select from 3 workshop about anthropology and 10 workshops about psychology.

we were asked in how many ways she can select 7 workshops if 2 or fewer must be anthropology

so,

If 2 or fewer must be anthropology,

Then tha means it is either she selects 2 from anthropology and 5 from psychology or 1 from anthropology and 6 from psycology.

that is:

= 3C2 x 10C5 or 3C1 x 10C6

= 3!/(3-2)!2! x 10!/(10-5)!5! + 3!/(3-1)!1! x 10!/(10-6)!6!

= 3x2!/2! x 10x9x8x7x6x5!/5!5! + 3x2!/2! x 10x9x8x7x6!/4!6!

= 3 x 252 + 3 x 210

= 756 + 630

= 1,386 ways

The ways she can select 7 workshops if 2 or fewer must be about anthroplogy is 1,386 ways

The total commission salesperson earned is $394.5.

What is commission?

Commissions are a type of variable-pay compensation for provided services or sold goods. Commissions are a typical method of encouraging and rewarding salespeople. It is also possible to create commissions to promote particular sales behaviours. For instance, while offering significant reductions, commissions might be decreased.

Given:  A jewelry salesperson earns 5 1/5 % commission on all sales. Today he sold $7,310 in jewelry.

We have to find the commission earned on $7310.

Here, [tex]5\frac{1}{5} = \frac{(5)(5)+2}{5} =\frac{27}{5}[/tex]

5 1/5% = 27/5%

Today he sold $7310 in Jwellary.

So, the commission is,

[tex]\frac{(7310)(27)}{(5)(100)} = 394.5[/tex]

Hence, the total commission of $7310 is $394.5.

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the rate of change in the temperature per hour is the quotient of the change of temperature divided by the change in hours. Since we have

1:00 AM =1 hr - 87 degrees

7:00 PM=19 hrs - 45 degrees,

then the rate is

Then, the temperature changed -2.33 degrees per hour.

Explanation

Step 1

multiply each side by 3

Step 2

divide both sides by

The equation

y = x - 2

is the equation of a line in the slope-intercept form with a slope of 1 and a y-intercept at (0, -2).

You can graph it by locating two points on the line. One point is (0, -2). The other one can be found with the slope. The slope of 1 means that the next point is 1 unit to the left and 1 unit up, respect the previous point. In this case, the next point is (1, -1). After you locate these two points, draw the line that connects them, as follows