Which would give the coordinates of the center of a circle?aFind the slope of the diameter.Find the midpoint of the diameter.Find the length of the diameter.Find the length of the radius.C Сd

Part A

We need to find the sale price of the tablet, i.e., after a discount of 30% was applied.

When we apply a discount rate d to a price P, the sale price S is given by:

In this problem, the original price of the tablet, in dollars, is:

And the discount rate is:

Then, the sale price is given by:

Therefore, the sale price of the tablet is $129.50.

Part B

Now, we can use the same formula to find the sale price of the camcorder, using:

We obtain:

Therefore, the sale price of the camcorder is $98.

Answer:   get smarter

Step-by-step explanation: hehe

Solution

The answer is

Answer:

I(x)=9⋅P(x)

Step-by-step explanation:

I just did the workbook.

Answer: I don’t know how to help you but

Step-by-step explanation:

I’ll use (3,4) on the x you put 3 and on the y you put 4

Given:

Standard form and expanded notation

Find-:

The number shown in standard form and expanded notation

Explanation-:

The standard form is

Standard form = The standard form is

For example, is

The expanded form is

The expanded = Expanded form is a way to write a number by adding the value of its digits. We can use a place value chart to determine the value of a number's digits.

For example

The length of the shorter leg of the right triangle is 6 feet.

So, the formula of the hypotenuse: c = √a²+b²

Now, put these values in the formula as follows:

So, the length of the shorter leg of the right triangle is 6 feet.

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Answer:

7.71

Step-by-step explanation:

1/2 pi * 3 + 3

3.14 * 3 = 9.42

1/2 of 9.42 = 4.71

4.71 + 3 = 7.71 ft

Given:

To find:

The exponent of y

Explanation:

Using the exponential rule,

The exponent of y is 1.

Final answer:

The exponent of y is 1.

By definition:

• a, combination, is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. ,In combinations, you can select the items in any order,.

• in ,permutations,, the order of the selected items is essential,. For example, the arrangements ab and ba are equal in combinations (considered as one arrangement), while in permutations, the arrangements are different.

From the list of examples we see that:

A) We select a president and a vice president, so order matters → permutation.

B) The order of the numbers of a lock's key matters → permutation.

C) The order of the members of the team doesn't matter → combination.

D) The order of the letter matters → permutation.

Answer: C

We have to identify the parabola that:

a) has no real solutions (it has complex roots).

b) opens downward.

The equations are in vertex form, so to have no real solutions and be downward, the vertex should have a value of y that is less than 0:

If the vertex had a value of y greater than 0, if it opens downward, there should be two values of x so that f(x) = 0. Then, this would be the real solutions.

The vertex form can be written as:

where (h,k) are the coordinates of the vertex.

Then, we need k <= 0.

The equations that satisfy this are:

y = -(x + 4)² - 2

y = -x² - 2

y = -(x - 4)² - 2

The second condition is that the parabola opens downward. This means a quadratic coefficient "a" with negative value.

All this three equations satisfy this condition.

We can graph them and check if the conditions are satisfied:

Answer:

There are 3 equations that satisfy the two conditions:

y = -(x + 4)² - 2

y = -x² - 2

y = -(x - 4)² - 2

Answer:

Step-by-step explanation:

The coordinates of point Y are (9 , 12)

Step-by-step explanation:

* Lets explain how to solve the problem

- If point (a , b) divides a line whose end points are (c , d) and (e , f) at

ratio p : q from the point (c , d), then

 and

∵ Segment XY has one endpoint at X (0 , 0)

∵ Point (3 , 4) is 1/3 of the way from X to Y

∴ Point (3 , 4) divides the segment XY,  where the distance from X

 to the point (3 , 4) is 1 part and from point (3 , 4) to Y is 2 parts

∴ Point (3 , 4) divides segment XY to the ratio 1 : 2 from X

- Let point (a , b) is (3 , 4)

- Let point (c , d) is X (0 , 0)

- Let point (e , f) is Y

- Let p : q = 1 : 2

* Lets find e and f

∵

∴

∴

- Multiply both sides by 3

∴ 9 = e

∴ The x-coordinate of point Y is 9

∵

∴

∴

- Multiply both sides by 3

∴ 12 = f

∴ The y-coordinate of point Y is 12

* The coordinates of point Y are (9 , 12)

answer c

Step-by-step explanation twenty is 5 times four and a hundred is five times twenty and so forth

                                            [it just a guess}

Answer: 792 supporters

Step-by-step explanation:

Change 28% to a decimal

28%=0.28

Find the product of 0.28 and 1100

0.28x1100=308

Subtract 1100 and 308 to find the supporters of the home team

1100-308=792

The first one is 10 pages long, while the second one is 20 pages long. The second one has 40 pages, which is twice as much as the first. The eighth book has 1280 many pages.

Given that,

On his desk, Brandon has a stack of books.

The first one is 10 pages long, while the second one is 20 pages long. The second one has 40 pages, which is twice as much as the first.

For eight novels, this pattern is maintained.

We have to find the eighth book has how many pages.

We have to multiply 2

40 times 2=80

80 times 2 =160

160 times 2=320

320 times 2=640

640 times 2=1280

Therefore, the eighth book has 1280 many pages.

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Answer:

To answer these questions input the x = __ value into the function.

C(0) = 0 + 75

C(0) = 75

C(100) = 100(0.25) + 75

C(100) = 100

C(200) = 200(0.25) + 75

C(200) = 125

C(300) = 300(0.25) +75

C(300) = 150

Hope that helps

The correct option 8 x 10^6 km and 4 x 10⁹ km defines the diameter relation of 500 times to other for the black hole.

For the given question;

There are black holes with very small diameters.

And also there are black holes with  millions or billions of kilometres of diameter.

Now, the diameter of one black hole is 500 times the other.

Consider the first option;

Let the diameter of 1st black hole be 8 x 10^6 km.

Then, the diameter of 2nd black hole be 500 times of the  8 x 10^6 km.

= 500 ×  8 x 10^6 km

= 4 x 10⁹ km

Thus, the option is the correct representation of the relation between both the diameters of black hole.

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Supplementary angles are those angles that add up to 180 degrees.

In this case, analyzing the figure shown in the exercise, you can identify that the angle ABD and the angle CBD are Supplementary angles.

Based on the explained above, you can set up the following equation:

Knowing that:

You can substitute them into the first equation:

Finally, solve for "x":

The answer is:

Because of the very huge sample size, we do not advise attempting to acquire the $100 margin of error.

The annual starting salaries for college graduates with degrees are between $30,000 and $45,000.

The confidence interval is 95%.

The planning value of the population standard deviation is expressed as:

= ( 45000 - 30000 ) / 4

= 15000/4

= 3750

And, 95% confidence interval a is 0.05.

Using the standard normal table,

Z(0.025) = 1.96

(a) For error E = $500,

n = ( Z × S/E )²

n = ( 1.96 × 3750/500)²

n = 216.09 = 217

(b) For error E = $200,

n = ( Z × S/E )²

n = ( 1.96 × 3750/200)²

n = 1351

(c) For error E = $100

n = ( Z × S/E )²

n = ( 1.96 × 3750/100)²

n = 5403

Therefore, Due to the sample size being too huge, we do not advise attempting to achieve the $100 margin of error.

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Answer: y=-3x+5

Step-by-step explanation:

1) List in a y = mx + b

y = -3x+b

2) Next fill in x and y with the points given

-7 = -3(4) + b

3) Solve

-7 = -3(4) + b

-7 = -12 + b

5 = b

4) Apply b to the y =mx + b

y=-3x+5

Answer: y= -3x +5

Step-by-step explanation:

Slope: y= mx+ b

m being the slope

b being the y intercept

You're given the slope, so you substitute m for -3

y=mx+b

y =  -3x + b

You have the coordinates (4, -7) which you can substitute (the line passes through that point.)

-7 = -3(4) + b

-7 = -12 + b

+12   +12

5= b

y= -3x + b

Check:

-7 = -3(4) + 5

-7 = -12 + 5

-7 = -7

Suitcase store 45 inches

Overhead

The square root of 42 is written mathematically as:

We can round 6.48 to the

Answer:

a) 65.3

b) 2.8 x [tex]10^{4}[/tex]

Step-by-step explanation:

a)

When you multiply by 10, you move the decimal 1 place to the right.

b)

You move the decimal so that the number will be between 1 and 10.  You move the decimal point 4 places.

2.8 x [tex]10^{4}[/tex]

Given

At a park, the jogging trail is a circle with a radius of 200 meters.

To find: How far is it around the trail? (Use 3.14 for π).

Explanation:

It is given that,

The radius of the circular trial is 200meters.

Then, the length path around the trial is,

Hence, the length of the path around the trial is 1256m.

For the function (gof)(x) the Domain is {x∈ R| ,x ≠ –2, 2} , the Range is {(–∞, 1)∪(2, ∞)} .

In the question ,

it is given that

the function f(x) is given as "4 over the quantity x squared minus 4" ,

which means

f(x)=4/(x²-4)

and g(x)=x+2

we know ,

(gof)(x) = g(f(x))= f(x) + 2

= 4/(x²-4) + 2

taking LCM as (x²-4) and solving further ,

we get

= [tex]\frac{4+2x^{2} -8}{x^{2} -4}[/tex]

= (2x²-4)/(x²-4)

the fraction is defined only when the denominator is non zero,

So for Domain

x²-4 ≠ 0

x² ≠ 4

x ≠ +2,-2

So, the domain is all real numbers except the numbers 2,-2 .

For Range , the graph of the function (gof)(x) is plotted below ,

From the graph we can see that the function does not have any value from y=1 to 2 .

So, the Range will be R={(∞, 1)∪(2, ∞)}.

Therefore , for the function (gof)(x) ,the Domain is {x∈ R| ,x ≠ –2, 2} , the Range is R:{(–∞, 1)∪(2, ∞)} .

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Answer:

(15, 10) and (10, 15)

Explanation:

The given system of equation is

x + y = 25

xy = 150

To solve the equation, we will use the subtitution method, so first, we need to solve the first equation for y

x + y = 25

x + y - x = 25 - x

x y= 25 - yx

Then, substitute y = 25 - x on the second equation, we get

xy = 150

x(25 - x) = 150

x(25) - x(x) = 150

25x - x² = 150

Now, we can rewrite the equation as

25x = 15 + x²

0 = 150 + x² - 25x

0 = x² - 25x + 150

Therefore, we need to find the values of x that satisfies

x² - 25x + 150 = 0

Now, we need to factorize this equation, so two numbers that multiply to 150 and add to -25 are -15 and -10. Then

(x - 15)(x - 10) = 0

So, the solutions are

x - 15 = 0

x = 15

or

x 10 = 0

x = 10

Then, the values of y are

If x = 15

y = 25 - x

y = 25 - 15

y = 10

If x = 10

y = 25 - x

y = 25 - 10

y = 15

Therefore, the solutions are (15, 10) and (10, 15)

I

Using T- ratios, We concluded that the height of the building is 82m.

According to the given question,

the distance between stick and building is 200m,

height of the stick is 2m,

Ami is standing at 5m from the stick,

Let the height of the building = x

So, By observing the pictorial representation of the question through image attached,

And using T - ratios along with

we can conclude that

Tan A = Height of the building / distance between Ami and building

⇒ Tan A = x / 5 + 200                              ......... (1)

Tan A = Height of the stick / Distance between Ami and stick

⇒ Tan A = 2 / 5                                         ............(2)

On equating (1) and (2)

x / 5 + 200  = 2 / 5        

x / 205 = 2/5

x = 2/5 × 205

x = 82

∴ Height of the building is 82m

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Answer:

y=-5x +14

Explanation:

Given a point on the line and the slope, we can obtain the equation of the line using the formula:

In this case:

Substitution in the formula above gives:

Note that the slope-intercept form of a line is given as: y=mx+b.

Where:

• m=slope

• b=y-intercept