Identify the vertex, focus, and directrix of the graph. Which of the following equations represents the parabola in the graph?


need help with this, i’ll mark you brainliest!!

Answer:

1×(480×6)

Step-by-step explanation:

ok it is distrutive property

Answer:

the range of the graph is all real numbers less than or equal to zero

Step-by-step explanation:

The class had cleaned x × A square miles before lunch.

Let's assume that the area of the park is A square miles, and the portion of the park cleaned by Mai's class before the lunch break is represented by x (a fraction or decimal between 0 and 1).

If the class had cleaned x portion of the park, then the area they had cleaned is x times the total area of the park:

Area cleaned before lunch = x × A

Since x represents a fraction or decimal, multiplying it by the total area A gives us the corresponding portion of the park that was cleaned.

Let's say the park has an area of A square miles, and the area that Mai's class cleaned up before lunch is denoted by the number x (a fraction or decimal between 0 and 1).

If the class had cleaned a certain percentage of the park, their cleaned area would be x times the park's overall area:

Before lunch, the area was cleaned = x A

We may calculate the proportion of the park that was cleaned by multiplying x by the entire area A because it indicates a fraction or decimal.

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Given

To find

We know that,

Let the third angle be ,'x'

then,

Hence,the third angle would measure 30°

The image of the labeled spinner isn't attached

Answer:

Kindly check explanation

Step-by-step explanation:

Answering hypothetically ;

First create a sample space using the label of the two spinners ;

Each space will be the sum of the possible number that shows up on each turn of the spinner.

From the sample space, count the number of spaces where, the sun is greater than 4, that is the required outcome ; = x

Then the total number of samples in the sole space = total possible outcomes = y

Hence,

P(obtaining a sum greater than 4) = required outcome / Total possible outcomes

= x / y

Answer:

  y = 4x +1

Step-by-step explanation:

You observe that each of the four arms of the figure has a number of tiles equal to the figure number. There is one more tile in the center.

This tells you that the equation could be ...

  y = 4x +1

Answer:

8000 inv^3

Step-by-step explanation:

Answer:

Part A:

1. Computation of Basic EPS

Basic EPS = (Net Income - Preferred Dividends) / Weighted Average Shares Outstanding²

Net Income = $120,000

Preferred Dividends = 4% x $50,000 = $2,000

Weighted Average Shares Outstanding = 100,000 (assuming no change in common stock during the year)

Basic EPS = ($120,000 - $2,000) / 100,000

Basic EPS = $1.18

2. Individual dilution/anti-dilution with decision making

We need to check if any of the convertible securities or stock options are dilutive or anti-dilutive by comparing their impact on EPS with the basic EPS.

Convertible Preferred: Each preferred share can be converted into 1.9 common shares (1,900 / 1,000). The conversion would increase the common shares outstanding by 1,900 and decrease the preferred dividends by $2,000.

EPS after conversion = ($120,000 - $0) / (100,000 + 1,900)

EPS after conversion = $1.16

Since this is lower than the basic EPS of $1.18, the convertible preferred is dilutive and should be included in the diluted EPS calculation.

Stock Options - A: Each option can be exercised at $12 to buy one common share when the average market price is $11. This means that the options are out of the money and would not be exercised by the holders. Therefore, they have no impact on EPS and are anti-dilutive.

Stock Options - B: Each option can be exercised at $7 to buy one common share when the average market price is $8. This means that the options are in the money and would be exercised by the holders. The exercise would increase the common shares outstanding by 4,000 and generate cash proceeds of $28,000 ($7 x 4,000). The cash proceeds can be used to buy back some common shares at the market price of $8. The number of shares bought back is 3,500 ($28,000 / $8). The net increase in common shares outstanding is 500 (4,000 - 3,500).

EPS after exercise = ($120,000 - $2,000) / (100,000 + 500)

EPS after exercise = $1.17

Since this is lower than the basic EPS of $1.18, the stock options - B are dilutive and should be included in the diluted EPS calculation.

Convertible Bonds: Each bond can be converted into 40 common shares (40,000 / 1,000). The conversion would increase the common shares outstanding by 40,000 and decrease the interest expense by $50,000 ($1,000,000 x 5%). The interest expense is net of tax, so we need to multiply it by (1 - tax rate) to get the after-tax amount. The tax rate is 30%.

EPS after conversion = ($120,000 - $2,000 + $50,000 x (1 - 0.3)) / (100,000 + 40,000)

EPS after conversion = $1.19

Since this is higher than the basic EPS of $1.18, the convertible bonds are anti-dilutive and should be excluded from the diluted EPS calculation.

3. Ranking of potential dilutors

We need to rank the potential dilutors from the most dilutive to the least dilutive based on their impact on EPS.

The most dilutive security is the convertible preferred with an EPS of $1.16.

The second most dilutive security is the stock options - B with an EPS of $1.17.

The least dilutive security is the convertible bonds with an EPS of $1.19.

4. Step-by-step inclusion of individual dilutors to arrive at reportable EPS with decision making.

We need to include the potential dilutors in order of their dilution until we reach a point where the next security would be anti-dilutive.

The first security to include is the convertible preferred.

EPS with convertible preferred = ($120,000 - $0) / (100,000 + 1,900)

EPS with convertible preferred = $1.16

The next security to include is the stock options - B.

EPS with stock options - B = ($120,000 - $0) / (100,000 + 1,900 + 500)

EPS with stock options

Answer:

6 is the awnswer

Step-by-step explanation:

Answer: Do you know the answer to this yet??

Step-by-step explanation:

The equation is 4x + 2y = 45 and The y-intercept is the point (0,22.5) and The x-intercept is the point (11.25, 0)

Given,

Kevin took $45 with him to spend on snack

and, The price for each bucket of popcorn was $4.

To plot the graph

Now, According to the question:

Sketch the graph that represents the situation and label the intercepts

Let,

x ------> the number of bags of popcorn

y -----> the number of drinks.

we know that

The price for each bag of popcorn was $4

The price of each drink was half the price of a bag of popcorn

So, The price of each drink was (1/2)$4 = $2

The total bags of popcorn multiplied by $4 plus the number of drinks multiplied by $2 must be equal $45

The equation that represent this situation is :

4x + 2y = 45 -----(1)

Now, Find the y - intercept form:

The y-intercept is the value of y when the value of x is equal to zero

For, x = 0 put the value of x in equation(1)

4(0) + 2y = 45

2y = 45

y = 22.5

The y-intercept is the point (0,22.5)

That means -----> The number of drinks that Kevin can buy when the number of bags of popcorn is equal to zero

For, y = 0 put the value of x in equation(1)

4x + 2(0) = 45

4x = 45

x = 11.25

The x-intercept is the point (11.25, 0)

That means -----> The number of drinks that Kevin can buy when the number of bags of popcorn is equal to zero

Hence, The equation is 4x + 2y = 45 and The y-intercept is the point (0,22.5) and The x-intercept is the point (11.25, 0)

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Answer:

5000

Step-by-step explanation:

Answer:

10 is the jk because x + 8 is 10

I hope it will help

Answer:

11 units

Step-by-step explanation:

It's clear that,

JL = JK + KL

Given that,

JK ⇒ ( x + 8 )

KL ⇒ 10

JL ⇒ 7x

So, by using these data we can make an expression like this.

JL = JK + KL

7x = x + 8 + 10

Now make x the subject and find the value of x.

7x = x + 8 + 10

7x = x + 18

7x - x = 18

6x = 18

6x/6 = 18/6

x = 3

And now let us find the value of JK.

JK ⇒ x + 8

To, find the value of JK we have to replace with 3.

JK ⇒ x + 8

JK ⇒ 3 + 8

JK ⇒ 11 units

The area of the park is 12 square units.

To find the area of the park, we can use the Shoelace Formula (also known as Gauss's area formula). This formula allows us to calculate the area of any polygon given the coordinates of its vertices.

The Shoelace Formula states that if we have the coordinates of the vertices of a polygon in counterclockwise order (x₁, y₁), (x₂, y₂), ..., (xn, yn), then the area (A) of the polygon is given by:

A = 1/2 × |(x₁y₂ + x₂y₃ + ... + xn-1yn + xny₁) - (y₁x₂ + y₂x₃ + ... + yn-1xn + ynx₁)|

In our case, the coordinates of the park's vertices are (-9, -9), (-3, -9), and (-6, -5). Let's calculate the area using the Shoelace Formula:

A = 1/2 × |(-9 × -9 + -3 × -5 + -6 * -9) - (-9 × -3 + -9 × -6 + -5 × -9)|

Simplifying further:

A = 1/2 × |(81 + 15 + 54) - (27 + 54 + 45)|

A = 1/2 × |150 - 126|

A = 1/2 × |24|

A = 12

Therefore, the area of the park is 12 square units.

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Answer:

---------------------

Plot the given vertices and connect.

See attached.

Then add the height CD.

The base is AB, with the length:

The height is CD, with length:

Find the area using equation:

Answer:

We can't see the paint, and what's the question?

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

Answer:

-18 is an integer but not a whole number

Step-by-step explanation:

a whole number is only positive numbers and 0 itself while an integer is basically any number that isn't a decimal or a fraction. -18 is an integer, but it can't be a whole number because it is a negative number.

Answer:

7.5

Step-by-step explanation:

10-2.5=7.5

Given:

The reasoning problem is

42=164, 73=499, 51= 251, 29=?

To find:

The missing value.

Solution:

In the given reasoning problem, we need to square each digit then write them combinedly.

\(4^2=16\)

\(2^2=4\)

On combining these two, we get

\(42=164\)

Similarly,

\(73=7^23^2=499\)

\(51=5^21^2=251\)

Using this pattern, we need write the square of 2 and 9 combinedly to find the value of 29.

\(29=2^29^2=481\)

Therefore, the missing value is 481.

Answer:

9604 American adults must be interviewed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the z-score that has a p-value of \(1 - \frac{\alpha}{2}\).

The margin of error is of:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

95% confidence level

So \(\alpha = 0.05\), z is the value of Z that has a p-value of \(1 - \frac{0.05}{2} = 0.975\), so \(Z = 1.96\).

How many adults must be interviewed for the margin of error to be 0.01?

This is n, which is found for M = 0.01.

We have no estimate for the proportion, so we use \(\pi = 0.5\), which is when the largest sample size will be needed.

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

\(0.01 = 1.96\sqrt{\frac{0.5*0.5}{n}}\)

\(0.01\sqrt{n} = 1.96*0.5\)

\(\sqrt{n} = \frac{1.96*0.5}{0.01}\)

\((\sqrt{n})^2 = (\frac{1.96*0.5}{0.01})^2\)

\(n = 9604\)

9604 American adults must be interviewed.

Answer:

no solution

Step-by-step explanation:

plug in -3 and -2 for x and y

-2=-3-2

-2=-5

it's false

no solution

Step 1: Isolate the Sin Operator

\(8 sin(\frac{\pi }{6} x)=2\\sin(\frac{\pi }{6} x)=0.25\\\\\)

Step 2: Use Inverse Sin(arcsin) to isolate the term with the x variable

Note that since trig functions have 2 general solutions, this will give us one of our general solutions.

\(x=\frac{6 arcsin(0.25)}{\pi } =0.48\)

x₁= 0.48

Solving for x₂

Use the period identity for Sin Functions

\(sin(x)=sin(\pi -x)\)

X in this case is arcsin(0.25)

\(\frac{\pi }{6} x=\pi -arcsin(0.25) = 5.52\)

So our two general solutions are 0.48 and 5.52

Step 3: Period

Trig Functions have periodic behavior and this function period is

\(\frac{2\pi }{1} (\frac{6}{\pi } )= 12\)

So our general solutions are

0.48±12k, where k is an integer

5.52±12k, where k is an integer

Let k=1, and we get our next set of solutions:

12.48 and 17.52

So our answer is 0.48,5.52,12.48,17.52

The probability that a randomly

selected point within the circle falls in the

red-shaded square is 63.7%.

A figure is shown, in which a square is inscribed in a circle. To find the probability that a randomly selected point within the circle falls in the red shaded area (Square).

radius  = 7cm

side of square = 7√2 cm

Area of the circle = πr²

                             = 3.14 * 7²

                             = 153.86 cm²

Area of the square = side * side

                               =  7√2 * 7√2

                               = 98 cm²

= Area of square / Area of the circle

= 98 / 153.86

=  63.7%

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Answer:

63.7

Step-by-step explanation:

I entered that and got it right

Answer:

The area of the garden is

797

f

t

2

.

Explanation:

First, let's find the area of the rectangle.

We know that the area of a rectangle is the length times width, or

20

⋅

32

in this example:

20

⋅

32

=

640

So the area of the rectangle is

640

f

t

2

.

You may not know the area of a semicircle, but that's fine

−

we know the area of a circle, or

π

r

2

.

Since the area of a semicircle is half the area of a circle, we just do the area of the circle divided by

2

:

So the area of a semicircle is

π

r

2

2

.

The question asks for

π

to just be

3.14

, so instead the equation is

A

=

3.14

r

2

2

The picture gives the diameter of the circle.

To find the radius, or

r

, we divide the diameter by

2

:

20

2

=

10

Now we can solve for the area of the semicircle:

3.14

(

10

)

2

2

3.14

(

100

)

2

314

2

157

f

t

2

Now that we now the areas of the rectangle and semicircle, we can add them up to find the area of the rose garden:

640

+

157

=

797

f

t

2

Answer:

y = (4/3)x.

or in standard form it is

-4x + 3y = 0.

Step-by-step explanation:

The slope m = (8-4) / (6-3)

= 4/3

Using the point-slope form of a line:

y - y1 = m(x - x1)  

We use m = 4/3, x1 = 3 and y1 = 4:

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

Multiply through by 3:

3y - 12 = 4(x - 3)

3y = 4x - 12 + 12

3y = 4x

y = (4/3) x

or in standard form it is

-4x + 3y = 0.

Answer:

112.8

Step-by-step explanation:

840/7 which is 120 then you would want to multiply by 0.94 as you are adding back!

Answer:

principal of the loan is $2000

Step-by-step explanation:

use formula of simple interest i.e. S.I. = (P×R×T)/100

Here, S.I. is Simple Interest

P is Principal

R is Rate of Interest

T is Time

Answer:

I think you should change it to 4x + 3y

Step-by-step explanation:

hope this helps

\(\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ n\theta = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\ \theta = \stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ n=5 \end{cases}\implies 5\theta =180(5-2) \\\\\\ 5\theta =180(3)\implies 5\theta =540\implies \theta =\cfrac{540}{5}\implies \theta =108\)

The value of m ∠ABC=86° ,because of the cyclic quadrilaterals.

Hence, Option (B) is correct.

Since, We know that,

A cyclic quadrilateral is a four-sided polygon whose vertices all lie on a common circle.

The opposite angles of a cyclic quadrilateral have a total of 180°.

Hence, We can formulate;

m ∠ABC +  m ∠ADC  = 180°

m ∠ABC + 94° = 180°

m ∠ABC = 180° - 94°

m ∠ABC = 86°

Similarly, one can find m∠DCB

m∠DAB +  m∠DCB  = 180°

99° + m∠DCB = 180°

m∠DCB = 180° - 99°

m∠DCB = 81°

Hence, m∠ABC = 86°

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Answer:

4

Step-by-step explanation:

The integers are

x

x+1

x+2

x+3

x+4

since they are consecutive

The largest is x+4

The smallest is x

Difference is

x+4 -x

4

Answer:

Step-by-step explanation:

If the least integer is n, it means the five consecutive integers are:

n,n+1,n+2,n+3,n+4

Summing all integers we have:

n + n+1+n+2+n+3+n+4

=5n+10

The mean of this integers is

5n+10 /5 =19

5n+10=19*5

5n + 10 = 95

5n = 95 - 10

5n =85

n=85/5=17

The smallest of the integer is n= 17

The largest integer is n + 4 =17+4=23

The difference between the least and largest integer would be;

Is 4

The sum of largest integer and the smallest integer is 23 + 17 = 40