The original cost of a TV is $800. It is currently in sale for 25% off. What is the price if TV on sale?

a. $200

b. $775

c. $600

d $1000

Answer:

If you turn it or flip it over or move it it is essentially the same shape. If you try to stretch the paper or fold it you change what the shape is so it is not a rigid motion. Since the two circles are not the same size then it is not a rigid motion

Answer:

Solution,

f(X)= 2x-1

g(X)= 7x-12

Now,

\(h(x) = f(x) + g(x) \\ \: \: \: \: \: = 2x - 1 + 7x - 12 \\ \: \: \: \: = 2x + 7x - 1 - 12 \\ \: \: \: \: \: = 9x - 13\)

Hope this helps...

Good luck on your assignment...

Suppose that g is a function from A to B and F is a function from B to C.

a)  If fog is onto, then f must also be onto.

Assume that f∘g  is onto. Let c ∈ C . Since f∘g is onto, then is a ∈A such that c = (f∘g) (a) by the definition of onto function. By the definition of function composition, c = f(g(a)). Let b = g(a). This b belongs to B  and is such that c = f(b) . Therefore, for every c ∈ C , there is b ∈ B such that c = f(b). By the definition of onto function, f is onto.

(b) If fog is one-to-one, then g must also be one-to-one.

Let \(a_1,a_2\) ∈ A such that \(g(a_1)=g(a_2)\). Then

(f∘g)\((a_1)\)  = \(f(g(a_1))=f(g(a_2))\) = (f∘g)\((a_2)\)

Since f∘g is one - to - one, \(a_1=a_2\). Therefore, for all \(a_1,a_2\) ∈ A such that

\(g(a_1)=g(a_2)\), \(a_1=a_2\). By the definition  of one-to-one function, g  is one-to-one. \(b_1=g(a_1)=g(a_2)\)

(c)  If fog is a bijection, then g is onto if and only if f is one-to-one.

Assume that f∘g  is a bijection.

Assume that g is onto. Let \(b_1,b_2\) ∈ B such that \(f(b_1)=f(b_2)\). Since g is onto,  by the definition of onto function, there are \(a_1,a_2\) ∈A such that

\(b_1=g(a_1) and b_2=g(a_2)\) We have

(fog)\((a_1)\) = \(f(g(a_1) )=f(b_1)\)

= \(f(b_2) =f(g(a_2))= (fog)(a_2)\)

Since fog is a bijection, it is one-to-one, hence \(a_1=a_2\), and

\(b_1=g(a_1)=g(a_2)=b_2\)

Learn more about Function at:

https://brainly.com/question/10453820

#SPJ4

Answer:

  x = 3°

Step-by-step explanation:

The external angle where secants/tangents meet is half the difference of the intercepted arcs.

__

Here, that means ...

  18x = (1/2)(194° -86°)

  18x = 1/2(108°) = 54° . . . . . simplify

  x = 3° . . . . . . divide by 18

Step-by-step explanation:

if I take the expression as you wrote it literally, we have

(-12az2 - 22³) + (-2a³ + 7a²z) - (-4a²z + 8az²) =

= -24az - 10,648 - 2a³ + 7a²z + 4a²z - 8az² =

= -24az - 10,648 - 2a³ + 11a²z - 8az²

yet when I assume that there were several typos particularly in the first bracket, my guess about the real original expression is

(-12az² - 2a³) + (-2a³ + 7a²z) - (-4a²z + 8az²) =

= -12az² - 2a³ - 2a³ + 7a²z + 4a²z - 8az² =

= -20az² - 4a³ + 11a²z

The correct option is - Unimodal and left skewed.

Dot plot

A dot plot is a graph that is made up of dots and a number line. The dots in the dot plot represent the frequency of the data. The greater the frequency of a data, the greater the number of dots .

Unimodal

The term "mode" in this context refers to any peak of the distribution, not just to the strict definition of mode which is usual in statistics .

A unimodal probability distribution or unimodal distribution is a probability distribution which has a single peak .

One reason for the importance of distribution unimodality is that it allows for several important results. Several inequalities are given below which are only valid for unimodal distributions.

Learn more about Dot plots here :-

https://brainly.com/question/21862696

#SPJ4

question attached here :-

The discount of 3% reduces the total amount when the company's product is purchased

The order quantity of the company's product is 5

Represent the order quantity with x.

Since a discount amount of Rs. 159 is charged, then it means that the total order is greater than Rs. 4000, and the discount is 3%

So, we have the following discount equation

(1000 * x + 300) * 3% = 159

Divide both sides by 3%

1000 * x + 300 = 5300

Subtract 300 from both sides

1000 * x = 5000

Divide both sides by 1000

x = 5

Hence, the order quantity is 5

Read more about discount at:

https://brainly.com/question/7459025

Answer:

i haven't done this in years but i'm pretty sure -19 meters

Step-by-step explanation:

Answer:

The answer to your question is, 0.484

Step-by-step explanation:

The actual chances of an event occurring are defined by a probability. Probability has several uses in games, and in business to create probability-based forecasts which bascially how it works.

Lets graph it out:

Let A signify that the selected employee participates to a workplace retirement savings plan. Let P stand for the male employes.

P(A∩P) the intersection of male & female.

P(A\P)  is the probability that a randomly picked worker participates to a workplace retirement savings plan is the option male

The probability that a randomly selected worker contributes to a retirement savings plan at work is male is found in this formula :

P(A\P)=P(A∩P)/A(P)

P(A\P)=(121/500)/(250/500)

P(A\P)=0.484

Thus, the probability that a randomly selected worker contributes to a retirement savings plan at work that is male will be,

0.484.

The end behavior of the following polynomial function is option A.

The leading term of the polynomial is 20x^20, degree of f(x) = 20, and the leading coefficient is 20.

Given function:

f(x)=−2x^3+20x^20+20x^18+60x^7+9

= 20x^20+20x^18+60x^7+2x^3+9

Here the degree is 20.

Leading term = 20x^20.

Leading coefficient = 20.

The degree is even and the leading coefficient is positive so end behavior is upward parabola which is option A .

Therefore the leading term of the polynomial is 20x^20, degree of f(x) = 20, and the leading coefficient is 20.

Learn more about the polynomial function here:

https://brainly.com/question/12976257

#SPJ1

Answer:

36 cm

Step-by-step explanation:

Answer:

10.4 it is the correct answer please mark me as a brainlist

The true statement about the dilation is (d) The dilation has a scale factor of 0.5.

The given parameters are

Initial perimeter = 24 units

New perimeter = 12 units

The scale factor of dilation is calculated as

Scale factor  = New perimeter/Initial perimeter

So, we have

Scale factor  = 12/24

Evaluate

Scale factor  = 0.5

Hence, the true statement about the dilation is (d) The dilation has a scale factor of 0.5.

Read more about dilation at:

https://brainly.com/question/22110194

#SPJ1

The equation of the perpendicular line is y= -5/4x +2/5 when the equation of the line is -4x+5y=2.

Given that,

The equation of the line is -4x+5y=2.

We have to find the equation of the perpendicular line passing through the equation.

We know that,

Take the equation of the line is -4x+5y=2.

5y=2+4x

y= 4/5x+2/5

The equation is in the form of y=mx+b

We flip the number and alter the sign to determine a perpendicular line.

m is 4/5

So, for perpendicular line equation

m =  -5/4

Therefore, The equation of the perpendicular line is y= -5/4x +2/5 when the equation of the line is -4x+5y=2.

To learn more about equation visit: https://brainly.com/question/21511618

#SPJ1

Answer:

i dont understand what is this

Answer:

Step-by-step explanation: per means divide and capita means person

so you would divide

$53143 by 1.3333333  to get your answer $ 39857 since you are rounding to the nearest dollar

Answer:

D

Step-by-step explanation:

Answer:

4π

Step-by-step explanation:

The Period, as measured from crest-to-crest (or from trough-to-trough), is 4π, as read directly from the graph

9514 1404 393

Answer:

  91, including Mr. Jones

Step-by-step explanation:

The total cost for n people to go on the trip will be ...

  C(n) = 45n +1295

If Mr. Jones does not pay anything, this cost is divided among the remaining (n-1) persons, so the cost per person is ...

  \(c(n)=\dfrac{C(n)}{n-1}\\\\c(n)=\dfrac{45(n-1)+45+1295}{n-1}=45+\dfrac{1340}{n-1}\)

We want to find n such that c(n) < 60.

  \(45+\dfrac{1340}{n-1}<60\\\\\dfrac{1340}{n-1}<15\qquad\text{subtract 45}\\\\\dfrac{1340}{15}<n-1\qquad\text{multiply by $\dfrac{n-1}{15}$}\\\\90\dfrac{1}{3}<n\qquad\text{add 1}\)

A total of 91 people would need to attend in order for the cost per person to be less than $60.

Answer:

Yes it's A. 0.79

Step-by-step explanation:

You plug in 6.5 into the y-value since it asks to find the ratio,x, if the pHis 6.5. Then you can solve using a calculator to get 0.79432, or 0.79

Answer:

A.  0.79

Step-by-step explanation:

edge 2020

Answer:

Yes, It is equivalent to 5p.

Step-by-step explanation:

Answer:

It is.

Step-by-step explanation:

It is.

I had this same problem when I was younger so I'm going to explain it to you how I would've liked it to be explained to me.

2p+4p=6p. Why? Because if two things are multiplied by the same thing (for example, 49 * 5 + 51*5), you can do 100 * 5 instead of doing it out. So any time you see a variable without a co-efficient which is the number before the variable, think of it as 1p instead of p, so it would be 1p+4p which does equal 5p. Since multiplying anything by 1 is just the identity property, it doesn't change the value of p but it becomes a little easier to visualize. As you practice this more, it'll get more familiar and you won't have to remember it like this anymore.

Hope this helped, tell me if you have any questions.

I’m just gonna guess but I think 6

Answer:

it is really puzzled

I will think for it

The equation of the perpendicular bisector of the line segment with endpoints (-7, 2) and (-1, -6) is y = (3/4)x + 1.

To find the equation of the perpendicular bisector of a line segment, we need to determine the midpoint of the line segment and the slope of the line segment. The perpendicular bisector will have a negative reciprocal slope compared to the line segment and will pass through the midpoint.

Given the endpoints (-7, 2) and (-1, -6), we can find the midpoint using the midpoint formula:

Midpoint = ((x1 + x2)/2, (y1 + y2)/2)

Midpoint = ((-7 + (-1))/2, (2 + (-6))/2)

= (-8/2, -4/2)

= (-4, -2)

The midpoint of the line segment is (-4, -2).

Next, we need to find the slope of the line segment using the slope formula:

Slope = (y2 - y1)/(x2 - x1)

Slope = (-6 - 2)/(-1 - (-7))

= (-6 - 2)/(-1 + 7)

= (-8)/(6)

= -4/3

The slope of the line segment is -4/3.

Since the perpendicular bisector has a negative reciprocal slope, the slope of the perpendicular bisector will be 3/4.

Now, we can use the midpoint (-4, -2) and the slope 3/4 in the point-slope form of a line to find the equation of the perpendicular bisector:

y - y1 = m(x - x1)

y - (-2) = (3/4)(x - (-4))

y + 2 = (3/4)(x + 4)

y + 2 = (3/4)x + 3

y = (3/4)x + 1.

For more such questions on Line segment:

https://brainly.com/question/2437195

#SPJ8

The probability that a single randomly selected can contain 11.9 ounces or less is 0.179.

B. The probability that a randomly selected can contain 11.9 ounces or less can be calculated using the normal distribution. Specifically, we can use the Cumulative Distribution Function (CDF) to find the probability that a randomly selected can will contain 11.9 ounces or less.

We know that the mean of the cans is 12 ounces with a standard deviation of 0.4 ounces. We can use the Z-score to calculate the probability. The Z-score is equal to (11.9 - 12) / 0.4 = -0.25. We then use the Z-score to calculate the probability.

Specifically, we can use the CDF to calculate the probability that a randomly selected can will contain 11.9 ounces or less. The CDF for the normal distribution is given by

P(X ≤ x) = ½[1 + erf(x - μ/σ√2)].

When we plug in the Z-score of -0.25 into the equation, we get

P(X ≤ 11.9) = ½[1 + erf(-0.25)] = 0.179. Therefore, the probability that a single randomly selected can contain 11.9 ounces or less is 0.179.

For the quality control inspector, we can use the sample mean to calculate the probability that the cans will contain 11.9 ounces or less. Specifically, if the sample mean is 11.9 ounces or less, then the probability that the cans will contain 11.9 ounces or less is 1.

If the sample mean is greater than 11.9 ounces, then we can use the normal distribution to calculate the probability. Specifically, we can use the Z-score to calculate the probability. The Z-score is equal to (11.9 - sample mean) / 0.4. We then use the Z-score to calculate the probability using the CDF.

For more questions like Probability click the link below:

https://brainly.com/question/11234923

#SPJ4

Answer:

13, 8, 4, 0

Step-by-step explanation:

The absolute value symbol turns the number into positive numbers. After that, all you need to do is find is greatest to least order.

Hope This Helps :)

The equivalent ratio of 1.25 : 3.75 : 7.5 is 5 : 15 : 30.

To calculate the equivalent ratio of 1.25 : 3.75 : 7.5, we need to find a common multiplier that can be applied to all the numbers in the ratio to make them whole numbers. In this case, the common multiplier is 4 because it can be multiplied to each number to eliminate the decimals.

By multiplying each number in the ratio by 4, we get:

1.25 * 4 = 5

3.75 * 4 = 15

7.5 * 4 = 30

So the equivalent ratio of 1.25 : 3.75 : 7.5 is 5 : 15 : 30.

This means that the relative sizes or quantities represented by the original ratio are maintained in the equivalent ratio. For example, if we had 1.25 units of something, it would be equivalent to 5 units in the new ratio, and if we had 7.5 units, it would be equivalent to 30 units in the new ratio.

To more on ratio:
https://brainly.com/question/12024093
#SPJ8

Using the inverse of the function from the table, the value of f⁻¹(4) is 107/3

The inverse of a function is a new function that "undoes" the original function. It reverses the mapping of inputs and outputs, allowing you to find the original input value when you know the output value.

In this problem, we have to use the table to find the original function which is f(x) and use it to find the inverse of the function;

Taking two points from the table;

m = y₂ - y₁ / x₂ - x₁

m = 0 - (-3) / -9 - (-11)

m = 3 / 20

Using the slope and one point on the table;

y = mx + x

-3 = 3/20(-11) + c

-3 = -1.65 + c

c = -3 + 1.65

c = -1.35

Putting the slope and y - intercept together;

y = 3/20x - 1.35

y = 3/20x - 27/20

f(x) = 3/20x - 27/20

Taking the inverse of the function;

f⁻¹(x) = (20x + 27)/3

To find the value of f⁻¹(4), we just need to substituting the value of x in the function;

f⁻¹(4) = (20(4) + 27)/3

f⁻¹(4) = 107/3

Learn more on inverse of a function here;

https://brainly.com/question/3831584

#SPJ1

In multiplication, the order doesn't matter.

2 rows of 7 and 7 rows of 2 is the same.

If you have seven 2's, that's the same as two 7's.

See here:

2 + 2 + 2 + 2 + 2 + 2 + 2 = 14

7 + 7 = 14

Or:

2 * 7 = 7 * 2 = 14

The members of the given set in this problem are given as follows:

X U (Y ∩ Z) = {p, q, r, 0, 6, 21, 22, 23, 26}

The union and intersection sets of multiple sets are defined as follows:

The intersection of the sets Y and Z for this problem is given as follows:

Y ∩ Z = {0, 6, 23, 26}

(which are the elements that belong to both of the sets).

The union of the above set with the set X is given as follows:

X U (Y ∩ Z) = {p, q, r, 0, 6, 21, 22, 23, 26}

(elements that belong to at least one of the sets).

More can be learned about union and intersection at brainly.com/question/4699996

#SPJ1