pls help me asap!!!!!!!!

Pls Help Me Asap!!!!!!!!

Answers

Answer 1

Answer:

Center: (9,3)

Radius: 9 units

Step-by-step explanation:

[tex]x^{2} -y^{2} -18x-6y+9=0[/tex]

[tex]x^{2} -18x+81+y^{2} -6y+9=-9+81+9[/tex]

[tex](x-9)^{2} +(y-3)^{2} =81[/tex]

Center: (9,3)

[tex]r^{2} =81[/tex] → [tex]r=9[/tex]

Radius : 9 units

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Related Questions

You want to build supports at each end of a table in the shape of a triangle. What type of triangle would you use to act as the supports: acute, right, or obtuse? Why?

Answers

Answer:

obtuse

Step-by-step explanation:

because obtuse triangle would provide more support that acute or right as its bigger.

Estimate. Then determine the area. Please please please, need help!

Answers

Estimate:

2.3 rounds down to 2

So after multiplying by 2, the area is estimated to be 4 cm squared.

Actual Area:

2.3 x 2 = 4.6

The actual area of the shape is 4.6 cm squared.

Hope this helped!

Answer:

4.6

Step-by-step explanation:

Line a and t are parallel. What is the value of x?
7x - 48
5x
pls help me

Answers

Answer:

x = 24

Step-by-step explanation:

We know that lines s and t are parallel. Then by definition, the two labelled angles, which are same-side angles, are congruent and equal in measure.

Then, we set the expressions equal to each other:

7x - 48 = 5x

Subtract 5x from both sides:

7x - 5x - 48 = 0

2x - 48 = 0

Add 48 to both sides:

2x = 48

Divide by 2:

x = 48/2 = 24

Thus, x = 24.

~ an aesthetics lover

A line passes through point (5, –3) and is perpendicular to the equation y = x. What's the equation of the line?

Answers

Answer:

y = -x +2

Step-by-step explanation:

y =x  has a slope of 1

Perpendicular lines have slopes that multiply to -1

m* 1 = -1

The slope of the perpendicular line is -1

We have a slope and a point

y = mx+b

y= -1x+b

Substitute the point into the equation

-3 = -1(5) +b

-3 =-5 +b

Add 5 to each side

-3+5 = b

2 =b

y = -x +2

Will Mark Brainlest Help pls​

Answers

Answer:

2 2

1 -3

Step-by-step explanation:

2b=[4 4]

2 -6

b=[4/2 4/2]

2/2 -6/2

b=[2 2]

1 -3

17. what is the equation of the line with…

Answers

Answer:

[tex]y=\displaystyle \frac{1}{2}x+1[/tex]

Step-by-step explanation:

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept.

We're given the x-intercept, -2, and the y-intercept, 1. We can directly plug the y-intercept into the equation [tex]y=mx+b[/tex] :

[tex]y=mx+1[/tex]

Now, we must solve for the slope. The x-intercept -2 gives us the point (-2,0), since the x-intercept occurs when y=0. Plug this point into the equation and solve for m:

[tex]0=m(-2)+1\\0=-2m+1\\-1=-2m\\\\\displaystyle m=\frac{-1}{-2} \\\\\displaystyle m=\frac{1}{2}[/tex]

Therefore, the slope of the line is [tex]\displaystyle \frac{1}{2}[/tex]. Plug this back into [tex]y=mx+1[/tex]:

[tex]y=\displaystyle \frac{1}{2}x+1[/tex]

I hope this helps!

Is 3.18 a real number

Answers

Yes. 3.18 is a rational number.

For each function, determine if it intersects or is parallel to the line y = -1.5x. If it
intersects the line, find the intersection point.
y =0.5x +4
PLEASE ANSWER I HAVE 25 MINUTES LEFT PLEASE

Answers

Answer:

Intersects; intersection point: (-2,3)

Step-by-step explanation:

Substitute -1.5x for y into y=0.5x+4:

-1.5x = 0.5x +4

-1.5x - 4 = 0.5x

-4 = 2x

x = -2

Plug in -2 for x into y=-1.5x

y = -1.5(-2)

y = 3

Organize the x and y values into an ordered pair:

(-2,3)

Answer:

y=0.5x+4 intersects y=-1.5x.

The intersection point is (-2,3)

Step-by-step explanation:

First, note that if two lines are not parallel, then they must intersect eventually in one way or another. Note that since these are two lines, they will only have one intersection points.

So we have the equation:

[tex]y=-1.5x[/tex]

Parallel lines have the same slope. Therefore, a line parallel to this line also has a slope of -1.5

The equation given to us is:

[tex]y=0.5x+4[/tex]

As we can see, this does not have a slope of -1.5. Therefore, the given equation is not parallel to y=-1.5x. However, this does mean that it will intersect y=-1.5x.

To find the x-value of their intersection, simply set the equations equal to each other and solve for x.

[tex]-1.5x=0.5x+4\\-2x=4\\x=-2[/tex]

Now, plug -4 into either of the equations:

[tex]y=-1.5(-2)=3\\y=0.5(-2)+4=-1+4=3[/tex]

Therefore, the point of intersection is (2,3).

NEED HELP!!! Please Write the quotient
as a mixed number.
93 divided by 5 = 18 R 3

Answers

Answer:

Hey there!

93 ÷ 5 can be written as 93/5.

5 goes into 93, 18 times, so we have [tex]18\frac{3}{5}[/tex]

Let me know if this helps :)

Can anyone help me with this

Answers

Answer:

x=0, - 9

Step-by-step explanation:

x^2+9x=0

x(x+9)=0

x=0 or x=-9

Answer:

x =0  x= -9

Step-by-step explanation:

x^2 + 9x = 0

Factor out x

x(x+9) =0

Using the zero product property

x =0 x+9 =0

x =0  x= -9

Help anyone can help me do this question 3,I will mark brainlest.​

Answers

Answer:

see explanation

Step-by-step explanation:

Calculate the slopes between pairs of the 3 points using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 9, 3) and (x₂, y₂ ) = (- 3, 9)

m = [tex]\frac{9-3}{-3-(-9)}[/tex] = [tex]\frac{6}{-3+9}[/tex] = [tex]\frac{6}{6}[/tex] = 1

Repeat with (x₁, y₁ ) = (5, 1) and (x₂, y₂ ) = (- 3, 9)

m = [tex]\frac{9-1}{-3-5}[/tex] = [tex]\frac{8}{-8}[/tex] = - 1

If lines are perpendicular then the product of their slopes = - 1 , then

1 × - 1 = -1

Thus there is a right angle between the 2 lines

Then triangle is right- angled

Which products result in a difference of squares? Select three options. A. (x minus y)(y minus x) B. (6 minus y)(6 minus y) C. (3 + x z)(negative 3 + x z) D. (y squared minus x y)(y squared + x y) E. (64 y squared + x squared)(negative x squared + 64 y squared)

Answers

Answer:

C D E

Step-by-step explanation:

Edg

Out of the given options, options C, D and E are a difference of squares.

What is the difference of squares?

Difference of Squares, two terms that are squared and separated by a subtraction sign.

Given are, options,

D) (y squared minus x y)(y squared + x y) = (y²-xy)(y²+xy) = y⁴-(xy)²

E) (64 y squared + x squared)(negative x squared + 64 y squared) = (64y²+x²)(64y²-x²) = (64y)⁴-x⁴

C) (3 + x z)(negative 3 + x z) = (3+xz)(3-xz) = 3²-(xz)²

Hence, out of the given options, options C, D and E are a difference of squares.

For more references on difference of squares, click;

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Samantha’s college runs on a trimester schedule so she receives a bill 3 times a year for tuition. Each trimester costs $1,450, and Samantha must complete 2 years of college to receive her degree. The average cost for books each trimester is $350. Approximately what will be the total cost for Samantha to get her degree?

Answers

Answer:

10800

Step-by-step explanation:

1 trimesters cost = 1450 + 350  $

2 year -> 6 trimester

1800$ x 6 = 10800 $

Diana made a recipe that yields 6 and 1 over 2 cups. If each serving is 1 over 4 cup, which expression will help Diana determine the number of servings her recipe will yield? 6 and 1 over 2 ⋅ 1 over 4 6 and 1 over 2 ÷ 1 over 4 6 and 1 over 2 + 1 over 4 6 and 1 over 2 − 1 over 4

Answers

Answer:

6 1/2  divided by 1/4

Find the slope and Y-Intercept of the line. 6X plus 2Y equals -88

Answers

Answer:

That’s ez pz

Step-by-step explanation:

Answer:

The slope is -3 and the y intercept is -44

Step-by-step explanation:

6X+ 2Y= -88

The slope intercept form of a line is y= mx+b where m is the slope and b is the y intercept

Solve for y

6X-6x+ 2Y= -88-6x

2y = -6x-88

Divide by 2

y = -3x -44

The slope is -3 and the y intercept is -44

Monica took a survey of her classmates' hair and eye color. The results are in the table below.

What is the conditional relative frequency that a participant has red hair, given that he/she has green eyes.


0.5

0.13

5

0.38

Answers

Answer:

let R represent red hair

let G represent green eyes

from Baye's theorem:

[tex]P( \frac{R}{G} ) = \frac{P(RnG)}{P(G)} [/tex]

P(RnG) = 5

[tex]P(G) = { \sum}(green \: hair) \\ = (3 + 5 + 5) \\ = 13[/tex]

Therefore:

[tex]P( \frac{R}{G} ) = \frac{5}{13} \\ = 0.385[/tex]

The conditional relative frequency = 0.385

The conditional relative frequency will be  0.385

What is Baye's theorem?

It is a theorem showing how to compute the conditional probability of each of a set of possible causes for a given observed outcome using knowledge about the probability of each cause and the conditional probability of each cause's outcome.

let R represent red hair

let G represent green eyes

from Baye's theorem:

[tex]P=\dfrac{R}{G}=\dfrac{P(R\cap G)}{P(G)}[/tex]

P(RnG) = 5

P(G) = ∑(Green hairs)

P(G)= 13+5+5 = 13

Therefore:

[tex]P(\dfrac{R}{G})= \dfrac{5}{13}=0.385[/tex]

The conditional relative frequency = 0.385

Hence the conditional relative frequency will be  0.385

To know more about Baye's theorem follow

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PLEASE HELP ASAP! Alayna is hanging a picture frame in the center of a wall that is 8 feet wide. If the picture frame is 22 1/4 inches wide, how far will each side of the picture frame be from the edge of the wall (in inches)? First, estimate the amount and then find the exact measurement. In two or more complete sentences, explain how you solved the problem. You may include a diagram in your explanation if you wish.

Answers

Answer:

See below.

Step-by-step explanation:

Approximation:

The wall is 8 ft wide.

The frame is 22 1/4 inches wide. 22 1/4 inches is close to 2 ft since 2 ft = 24 inches.

8 ft - 2 ft = 6 ft

There will be approximately 6 ft of space tot he sides of the frame.

6 ft/2 = 3 ft

3 ft * 12 in./ft = 36 in.

There will be approximately 36 in. on each side of the frame.

Exact:

8 ft - 22 1/4 in. = 8 * 12 in. - 22 1/4 in. =

= 96 in. - 22 1/4 in.

= 95 4/4 in. - 22 1/4 in.

= 73 3/4 in.

The total amount of width of the wall not occupied by the frame is 73 3/4 in.

Half of that amount is on each side of the frame.

(73 3/4 in.)/2 = (73 3/4 in.) * 1/2 = (73 * 1/2 + 3/4 * 1/2) in. =

= 36 1/2 in. + 3/8 in.

= 36 4/8 in. + 3/8 in.

= 36 + 7/8 in.

= 36 7/8 in.

HELP ASAP WILL MARK BRAINLIEST!!! Add or subtract. Write your answer in scientific notation. 4.2 x 10^6 − 1.2 x 10^5 − 2.5 x 10^5 3.3 x 10^9 + 2.6 x 10^9 + 7.7 x 10^8 8.0 x 10^4 − 3.4 x 10^4 − 1.2 x 10^3

Answers

Answer:

see below

Step-by-step explanation:

4.2 x 10^6 − 1.2 x 10^5 − 2.5 x 10^5

All exponent have to have the same number

42 x 10^5 − 1.2 x 10^5 − 2.5 x 10^5

Subtract the number

42 - 1.2 - 2.5 = 38.3

Add back the exponent

38.3 * 10 ^5

This is not in scientific notation

Move the decimal one place to the left and add one to the exponent

3.83 * 10^6

3.3 x 10^9 + 2.6 x 10^9 + 7.7 x 10^8

All exponent have to have the same number

3.3 x 10^9 + 2.6 x 10^9 + .77 x 10^9

Add the numbers

3.3+2.6+.77 =6.67

Add back the exponent

6.67*10^9

This is in scientific notation

8.0 x 10^4 − 3.4 x 10^4 − 1.2 x 10^3

All exponent have to have the same number

8.0 x 10^4 − 3.4 x 10^4 − .12 x 10^4

Subtract

8.0 - 3.4 - .12 = 4.48

Add back the exponent

4.48* 10^4

This is in scientific notation

PLEASE ELP ME ITS URGENT!!! 25 POINTS!!!!!
Write 2.4 × 1012 in standard notation.

Answers

Answer:

2,400,000,000,000

Step-by-step explanation:

2.4 x 10^12 means that the decimal point is moved 12 places to the right (hence the power of 12)

So by moving the decimal point 12 times you get this: 2,400,000,000,000

The reason why there are only 11 zeroes is because the 4 was a decimal place  to the right of 2, thus losing a zero.

can you make a triangle with 1. 2cm 3cm and 4cm 2. 2cm 3 cm 6 cm 3. 90 degrees 45 degrees 45 degrees 4. 90 degrees 60 degrees 60 degrees?

Answers

Answer:

1. 2cm 3cm and 4cm

yes, because 2+3>4

2. 2cm 3 cm 6 cm

no, 2+3<6

3. 90 degrees 45 degrees 45 degrees

yes, 90+45+45 = 180

4. 90 degrees 60 degrees 60 degrees?

no, 90+60+60=210!=180

A water park has 28 water attractions: pools, game areas, and water slides. There are P pools and P +2 games areas. If 50% of the attractions are water slides, how many games areas are there?

Answers

Answer:

8

Step-by-step explanation:

total: 28 water attractions

pools: p

game areas: p + 2

water slides: 50% of 28 = 14

14 + p + p + 2 = 28

2p = 12

p = 6

game areas:

p + 2 = 6 + 2 = 8

traders fix the price of cosmetic items 30% above the cost price when he sold an item at 25% discount there was a loss of Rs 15 find the cost price and marked price of the item​

Answers

Cost price is Rs600 and marked price is Rs780.

Must click thanks and mark brainliest

Which of the following is a solution of y > |x| - 6? A(-1, -5) B(-5, 1) C(5, -1)

Answers

Answer:

B(-5, 1)

Step-by-step explanation:

We can test each value in the equation and see if the equation works out.

[tex]y > |x| - 6[/tex]

Let’s try A - (-1, -5).

[tex]-5 > |-1|-6\\\\-5 > 1-6\\-5>-5[/tex]

-5 is NOT greater than -5, it is equal so A doesn’t work.

Let’s try B, (-5, 1).

[tex]1 > |-5| -6\\1 > 5-6\\1 > -1[/tex]

1 IS greater than -1, so B works.

Let’s try C for fun.

[tex]-1 > |5| -6\\-1 > 5-6\\-1 > -1[/tex]

-1 is NOT greater than -1, it is equal, so it doesn’t work.

Hope this helped!

Answer:

B(-5,1)

Let us simply just write this in all scenarios.

A(-1,-5)

-5>|-1|-6

-5>-5

(False)

B(-5,1)

1>|-5|-6

1>-1

(True)

C(5, -1)

-1>|5|-6

-1>-1

False

at the movie theatre admission is $6.30 an adult admission is $9.60. on thursday twice as many adult tickets as child tickets were sold for a total sale of $535.50 how many child tickets were solf that day

Answers

Answer:

number of child tickets sold on saturday is 21

number of adult tickets sold on saturday is 42

Step-by-step explanation:

Let's assume

number of child tickets sold on saturday is x

number of adult tickets sold on saturday is y

On saturday, twice as many adult tickets as child tickets were sold

so, we get

child admission is $6.30 and adult admission is $9.60

a total sales of $535.50

we get

now, we can plug y=2x

now, we can solve for x

now, we can find y

so,

number of child tickets sold on saturday is 21

number of adult tickets sold on saturday is 42.........Answer

if the first step of the equation -x + 6 = 5 - 3x is "subtract 5" then what should the next step be

Answers

Answer:

The next step is add x to each side

Step-by-step explanation:

-x + 6 = 5 - 3x

Subtract 5 from each side

-x + 6-5 = 5-5 - 3x

-x+1 = -3x

Add x to each side

-x+1 = -3x+x

1 = -2x

Answer:

Step-by-step explanation:

all you need to do is solve for x right? so in that case when you subtract 5 from both sides you get -x+1=-3x

then you will add x on each side

you should now have 1=-2x

divide each side by -2 and then you will have

-1/2=x

x^5+x-1
x^5+x-1
x^5+x-1

Answers

Step-by-step explanation:

x⁵+x-1

(2x-x+1) ( x³+x²-1 )

Find the coordinates of the image of Z(−3,−1) after the translation (x,y)→(x−2,y−7).

Answers

Answer:  (-5, -8)

======================================================

Explanation:

We get this point by doing two things.

Subtract 2 from the x coordinate, due to the x-2Subtract 7 from the y coordinate, because of the y-7

If we started with x = -3, then x-2 = -3-2 = -5. Also, if we had y = -1 then y-7 = -1-7 = -8

So that's how we end up with Z(-3,-1) moving to Z ' (-5, -8)

You could also show your work like this

[tex](x,y) \to (x-2, y-7)\\\\(-3,-1) \to (-3-2, -1-7)\\\\(-3,-1) \to (-5, -8)\\\\[/tex]

Circle experts...help! will give brainly to most detailed answer

Answers

Answer:

IU=161

Step-by-step explanation:

Angle Formed by Two Secants=  1/2 (difference of Intercepted Arcs)

42 = 1/2 (7m+5 - (3m-1))

Distribute the minus sign

42 = 1/2 (7m+5 - 3m+1))

Combine like terms

42 = 1/2 ( 4m+6)

Distribute the 1/2

42 = 2m+3

Subtract 3 from each side

42-3 = 2m+3-3

39 = 2m

Divide by 2

19.5 = m

The sum of the arcs = 360

IU+ 3m-1 + 7m+5 = 360

IU +10m+4 = 360

IU +10(19.5) +4 = 360

IU +195+4 = 360

IU = 360 - 199

IU=161

Three people are standing on a Cartesian coordinate plane. Robert is standing at point $(4,3)$, Lucy at point $(6,1)$, and Liz at point $(1,7)$. How many units away is the farther person from Robert?

Answers

Answer: Liz, she is 5 units away from Robbert.

Step-by-step explanation:

Ok, the data that we have is:

Robert is at (4,3 )

Lucy is at (6, 1)

Liz is at (1, 7)

We want to find the units between Robert and the person that is farther away from him.

The distance between Robert and Lucy can be calculated as:

First we calculate the difference in the point or in the position vector:

(4, 3) - (6, 1) = (4 - 6, 3 - 1) = (-2, 2)

To calculate the exact distance, we need to calculate the magnitude of this point, this is:

For a point (x, y), the magnitude is M = √(x^2 + y^2)

Then we have:

D = √( (-2)^2 + 2^2) = √8

Now, the distance between Robert and Liz can be calculated in the same way:

(4, 3) - (1, 7) = (4 - 1, 3 - 7) = (3, -4)

The magnitude is:

D = √(3^2 + (-4)^2) = √(9 + 16) = √25 = 5

Now, we know that 5 > √8

Then the person that is farthest away from Robert is Liz, and she is 5 units away.

What ratio of 25 dextrose and 10% dextrose should be mixed to make a 20% Dextrose? Comments for What Ratio of 25% Dextrose and 10% Dextrose to make 20% Dextrose? 10 parts 25% and 5 parts 10% solution equals 20% mixture.

Answers

Answer:

10:5 OR 2:1

Step-by-step explanation:

Let x be the parts of 25% dextrose and

y be the parts of 10% dextrose are mixed so that

20% dextrose mixture is obtained.

amount of dextrose in the mixture will be 20% of (x+y).

We have to find the value of [tex]\frac{x}y \ OR\ x:y[/tex]

Now, we can apply the concept that sum of amount of dextrose in the two liquids will be equal to the amount of dextrose in the mixture.

[tex]\Rightarrow x \times 25\% + y \times 10\%=(x+y)\times 20\%\\\Rightarrow x \times\dfrac{25}{100} + y \times \dfrac{10}{100}=(x+y)\times \dfrac{20}{100}\\\Rightarrow x \times25 + y \times 10=(x+y)\times 20\\\Rightarrow 25x + 10y=20x+20y\\\Rightarrow 25x -20x =20y-10y\\\Rightarrow 5x=10y\\\Rightarrow \dfrac{x}{y} = \dfrac{10}{5}\\\Rightarrow \bold{x:y=10:5\ OR\ 2:1}[/tex]

So, the answer is 10:5 or 2:1.

Answer:

4.90% is approximately the new Dextrose concentration.

Explanation:

Volume by Volume percent is given by ;

Volume percentage of dextrose solution = 5%

In 100 mL of solution 5 ml of dextrose is present.

Now, volume sterile water added was equal to the 40% of volume of dextrose volume.

So, volume of the sterile water added =  

Total volume of the solution after addition of water = 100 mL + 1 mL = 102 mL

New concentration of dextrose will be;

4.90% is approximately the new Dextrose concentration.

Step-by-step explanation:

Other Questions
emily wants to know how green, blue and red color light affects plant growth compared to natural light. (Hint: what light affects the plant the most) Form hypothesis and design an experiment. Make sure identify the control, independent (manipulated) variable and dependent (responding) variable. Be detailed Astronomers were at first surprised to find complicated molecules in the interstellar medium. They thought ultra-violet light from stars would break apart such molecules. What protects the molecules we observe from being broken apart Read this excerpt from "The World on Turtle's Back." According to this excerpt, the two brothers represent In a(n) __________, the subject comes before the verb.(1 point) 1 singular noun 2 standard sentence 3 inverted sentence 4 prepositional phrase Which expression is equivalent to x^6 5 in the process of rotation of the earth the longitude and the keep of changing able to write A hole the size of a photograph is cut from a red piece of paper to use in a picture frame. On a coordinate plane, 2 squares are shown. The photograph has points (negative 3, negative 2), (negative 2, 2), (2, 1), and (1, negative 3). The red paper has points (negative 4, 4), (4, 4), (4, negative 4), and (negative 4, negative 4). What is the area of the piece of red paper after the hole for the photograph has been cut? 17 square units 25 square units 39 square units 47 square units Mark this and return Select the correct answer from each drop-down menu.Nirja has 24 marbles. The number of marbles Nirja has is 6 more than the number of marbles Tim has.If Tim has x marbles, the equation that represents the situation isThe value of x that makes the equation true isResetNext It has been years since we redecorated the officeWe........ for years What did the Pacific Railway Act, Homestead Act, Morrill Land Grant College Act, and National Banking Act all have in common? Find the area of the shape shown below.22222units The dot plot represents a sampling of ACT scores:dot plot titled ACT Scores with Score on the x axis and Number of Students on the y axis with 1 dot over 18, 3 dots over 19, 4 dots over 21, 4 dots over 22, 3 dots over 23, 2 dots over 24, 1 dot over 25Which box plot represents the dot plot data? box plot titled ACT Score with a minimum of 18, quartile 1 of 21, median of 22, quartile 3 of 23, and maximum of 25 box plot titled ACT Score with a minimum of 18, quartile 1 of 19, median of 21, quartile 3 of 22, and maximum of 25 box plot titled ACT Score with a minimum of 17, quartile 1 of 19, median of 21, quartile 3 of 22, and maximum of 25 box plot titled ACT Score with a minimum of 17, quartile 1 of 19, median of 21, quartile 3 of 25, and maximum of 26 Grammar. I did not pay attention to to the music. simple past tense simple present tense present perfect tense Which sentence uses theunderlined academicvocabulary word incorrectly?eA. I would like to modify my statement; Ineed to add some details I left out.B. I need to modify my diet to allow for ahigher protein intakeC. When I grazed that plant, I may havejust czposed myself to poison ivy.D. I need to modify myself to bed-- it'slate and I'm tired, In public pools, there .. a much higher level of safety with trained lifeguards on duty whenever they .open. A) will be / were B) was / are C) is / are D) will not be / are E) is / were What type of context clue is used to define the wordaccuracy?O synonymO contrastO explanationO example Suppose a shoe company estimates that its monthly cost isC(x) = 300c2 + 200c and its monthly revenue isR(x) = -0.5x3 + 900x2 500x + 400, where x is in thousands of pairsof shoes sold. The profit is the difference between the revenue and the cost.What is the profit function, P(x)?OA. P(x) = -0.5x3 + 600x2 700x + 400B. P(2) = -0.5x3 + 1200x2 300x + 400O C. P(x) = 0.523 + 60022 700.0 + 400O D. P(x) = 0.523 600x2 + 700x 400PREVIOUSI Which type of map would help a geographer investigate the following cultural question?Cultural Question: How do religious beliefs influence popular customs? PLS HELP ME!!!A sample is generated from a population of 20 items. Each of the 20 items are given a label, and a 20-sided die is rolled 3 times to determine which 3 items are in the sample. This is an example of a __________.A. systematic sampleB. random sampleC. convenience sampleD. self-selecting sample 13. PLEASE HELP METhe area of a playground is 336 yd2. The width of the playground is 5 yd longer than its length. Find the length and width of the playground.A. length = 16 yd, width = 21 ydB. length = 21 yd, width = 26 ydC. length = 21 yd, width = 16 ydD. length = 26 yd, width = 21 yd