Mrs. Cooper hosts an annual art contest for kids. She has records of the number of entries for the last 9 years. She received 30 entries in the first year. Over the next 3 years, the number of entries increased by 10 kids per year. In the next 2 years after that, there were 60 entries each year, and in the last 3 years, the number of entries increased by 15 kids per year. Which graph models the piecewise function for the given situation, where x represents time after the first year and y represents the number of entries in that year?

Answers

Answer 1

To graph this situation we must take into account the data and the organization of each of them on the X axis and Y axis.

How to graph this situation?

To graph this situation we must take into account the data we have:

YearsTickets

Based on these data, we assign the horizontal axis to count years and the vertical axis to count tickets per year. We must continue the pattern of increased attendance over the years.

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Mrs. Cooper Hosts An Annual Art Contest For Kids. She Has Records Of The Number Of Entries For The Last

Related Questions

Explain some acceptable reasons for proofs?

Answers

Geometric proofs are a list of Statements and Reasons used to prove that a given mathematical concept or idea is true. Statements are claims about a geometric problem that cannot be proven true until backed by a mathematical Reason. Reasons are pieces of evidence that support a Statement.

50 POINTS .....................

Answers

The option (C) Mus. Apt. = -22.26 + 0.4925(IQ score) is correct because the value of slope is 0.4925 and y-intercept is -22.26.

What is the line of best fit?

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2}[/tex]

[tex]\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]

We have data shown in the picture.

Let's suppose the regression line is:

y = mx + c

Where m is the slope of the regression line and c is the y-intercept of the line.

We can calculate the value of m and c by using the formula.

After calculating, we get:

m = 0.4925

c = -22.26

Mus. Apt. = 0.49253(IQ score) - 22.26

or

Mus. Apt. = -22.26 + 0.4925(IQ score)

Thus, the option (C) Mus. Apt. = -22.26 + 0.4925(IQ score) is correct because the value of slope is 0.4925 and y-intercept is -22.26.

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Answer:

The option (C) Mus. Apt. = -22.26 + 0.4925[the IQ score] is the correct answer. Because the value of slope is 0.4925 and the y-intercept is -22.26.

Find the measure of Angles A and B and the length of BC?

Answers

Answer:

dummy its 23 bc angel A

Step-by-step explanation:

WRITE iT dOwN nOW dUmMy

What is the aquare root of 0.00053361

Answers

Step-by-step explanation:

no calculator ? or what is the problem ?

I had to use the calculator too.

so, the square root of 0.00053361 is 0.0231.

hello!! the answer to your question is 0.0231

what odd 3 digit number has digits that are all the same and that add up to 9?​

Answers

Answer:

3

Step-by-step explanation:

3 is an odd number and obviously the only odd (same) three digit that add up to 9

like and mark as BRAINIEST

Solve the following system to find the point(s) of intersection.
y = x² - 2x - 3
y = 2x - 3

Answers

x=4 y=5

if we put two pharases together

the answer is as follows pic :

x=4 y=5

Distance formula: StartRoot (x 2 minus x 1) squared + (y 2 minus y 1) squared EndRoot

Does the point (1, StartRoot 7 EndRoot) lie on the circle shown?
Explain.

Yes, the distance from (–2, 4) to (1, ) is 4 units.
Yes, the distance from (–2, 0) to (1, StartRoot 7 EndRoot) is 4 units.
No, the distance from (–2, 0) to (1, StartRoot 7 EndRoot) is not 4 units.
No, the distance from (–2, 4) to (1, StartRoot 7 EndRoot) is not 4 units.

Answers

Yes, the distance from (-2, 0) to (1, √7) is 4 units.

How to Interpret the Equation of a Circle?

We know that the general form of equation of the circle is given by;

(x - h)² + (y - k)² = r²

where;

(h, k) is the coordinate of the center

r is the radius

From the attached image, the radius is equal to the distance between the center and the point (-2,4).  Thus, r = 4 and so we have;

(x + 2)² + (y - 0)² = 4²

(x + 2)² + y² = 16

If the distance between the center and the point is equal to the radius of the circle , then the point lies on the circle and the formula to calculate the distance between two points is;

d = √[(y₂ - y₁)² + (x₂ - x₁)²]

At A(-2, 0) and B(1, √7), we have;

d = √[(√7 - 0)² + (1 - (-2))²]

d = 4 units

Therefore we can conclude that  the distance from (-2, 0) to (1, √7) is 4 units.

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Is there an end to prime numbers?

Answers

[tex]\huge\purple{Hi!}[/tex]

Except for 2 and 5, all prime numbers end in the digit 1, 3, 7 or 9.

−3x−6+(−1) What is it evaluated

Answers

Answer:

-3x-7

Step-by-step explanation:

Remember this in mind while solving.

negative + negative = negative.

= −3x−6+(−1)

= -3x-7

Therefore when −3x−6+(−1) is evaluated it is

-3x-7

analyze the following budget,with an income of $600,to determine how much can be spent on food for the month

Answers

Answer:

C: 80

Step-by-step explanation:

Take 600, and subtract it by the values of 200, 95, 65, and 160.

You get $80 left.

Hope this helps!

Could someone help me with this question real quick?

Answers

Answer:

Width is 46 meter

Length is 86 meter

Given:

width = wlength = (w + 40)

Formula:

Area of rectangle = Length × Width

Trial and improvement:

1st try with w = 50

w(w + 40) = 4000

50(50 + 40) = 4000

4500 ≠ 4000

Value too high.

2nd try with w = 45

w(w + 40) = 4000

45(45 + 40) = 4000

3825 ≠ 4000

Value too small

3rd try with w = 46

w(w + 40) = 4000

46(46 + 40) = 4000

3956 ≠ 4000

This value is somewhat near to the area value.

It is found that width = 46 m then length = (w + 40) = (46 + 40) = 86 m

f(x) = x^2 + 5x - 1 is shifted 3 units left the result is g(x). What is g(x)?

Answers

Answer:

A. g(x)=x^2+5x+2

Step-by-step explanation:

f(x) = x^2 + 5x - 1 Shift 3 units to the left. k=3

g(x)=x^2+5x-1+3=x^2+5x+2

g(x)=x^2+5x+2

Hope this helps!

If not, I am sorry.

A sequence starts with: 32, 31, 30, 29...

Calculate the next 3 terms

Answers

Answer:

28,27,26

sequence=-3

Step-by-step explanation:

Answer:

[tex]\fbox {28, 27, 26}[/tex]

Step-by-step explanation:

Given :

⇒ a = 32

⇒ d = 31 - 32 = -1

Finding next 3 terms :

⇒ 29 - 1 = 28

⇒ 28 - 1 = 27

⇒ 27 - 1 = 26

In the figure, the ratio of the area of rectangle ABEF to the area of rectangle ACDF is .
If the coordinates of point A are (0,6), the area of rectangle ABEF is square units, and the area of rectangle ACDF is square units.
The perimeter of rectangle BCDE is units.

Answers

Area of the rectangle is 96.05 sq.units , The ratio of the areas is 2/3 , Area of rectangle ABEF is 64.03 sq.units.

The complete question is

In the figure, the ratio of the area of rectangle ABEF to the area of rectangle ACDF is(a)_____ . If the coordinates of point A are (0,6), the area of rectangle ABEF is(b)____ square units, and the area of rectangle ACDF is(c)____ square units.  The perimeter of rectangle BCDE is(d)____ units.

What is a Rectangle ?

A rectangle is a polygon with four sides and for angles and four vertices , Its opposite sides are parallel and equal.

The  area of rectangle ACDF is square units. = ?

The perimeter of rectangle BCDE is units. = ?

[tex]\rm d = \sqrt{ (y_2 -y_1 )^2 + (x_2 -x_1)^2}\\\\\rm d = \sqrt{ (2 - 6 )^2 + (5 - 0)^2}[/tex]

d = 9.605

the length of  [tex]\rm EF[/tex]

[tex]\rm FE[/tex] = 10 units.

and [tex]\rm FD[/tex] = 15 units

Area of a Rectangle [tex]\rm ACDF[/tex] is given by

Length x width

10 * 9.605

Area of the rectangle is 96.05 sq.units

Perimeter of a rectangle is = 2( length + breadth)

ED = FD-FE = 15- 10 = 5 units

Therefore

Perimeter = 2 ( 5 +  √41 )

Perimeter = 22.81 units

Area of rectangle ABEF is 64.03 sq.units

The ratio of the areas

= 64.03/96.05

= 0.666667

= 2/3

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Select the correct answer.
Julissa is printing out coples for a work training. It takes 4 minutes to print a color copy, and It takes 2 minutes to print a grayscale copy. She
needs to print no fewer than 8 coples within 25 minutes.
Which system of Inequalities represents the number of color copies, ×, and grayscale coples, y, that Julissa can print to meet her goal?

Answers

The system of inequalities that represents the number of copies that Julissa can print to meet her goal is given by:

[tex]x + y \geq 8[/tex].[tex]4x + 2y \leq 25[/tex].

What is a system of inequalities?

A system of equations is when two or more variables are related, and inequalities are built to find the values of each variable.

The variables are given as follows:

Variable x: Number of color copies.Variable y: Number of gray scale copies.

She needs to print no fewer than 8 copies, hence:

[tex]x + y \geq 8[/tex].

It takes 4 minutes to print a color copy and 2 minutes to print a grayscale copy. She has at most 25 minutes, hence:

[tex]4x + 2y \leq 25[/tex].

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IV. Solve the problem. A lineman divided a 1500 m of wire into 5 parts in the ratio 4: 5:6:7:8. How long is each piece of wire? IV . Solve the problem . A lineman divided a 1500 m of wire into 5 parts in the ratio 4 : 5 : 6 : 7 : 8 . How long is each piece of wire ?​

Answers

A ratio shows us the number of times a number contains another number. The length of the pieces of wire are 200m, 250m, 300m, 350m, and 400m.

What is a Ratio?

A ratio shows us the number of times a number contains another number.

Given the piece of wire are in the ratio 4:5:6:7:8. Therefore, the total length of the wire will be,

4x + 5x + 6x + 7x + 8x = 1500m

30x = 1500 m

x = 50 m

Now, the length of the wire will be,

4x = 4(50) = 200m

5x = 5(50) = 250m

6x = 6(50) = 300m

7x = 7(50) = 350 m

8x = 8(50) = 400 m

Hence, the length of the pieces of wire is 200m, 250m, 300m, 350m, and 400m.

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Before opening night, the cast of Wicked put on a matinee and evening dress rehearsal at the Gershwin Theatre. At the Saturday matinee, 350 people attended the show. For the Saturday evening performance, 40% more people attended the performance. If the average cost of tickets was $182, how much money did the Gershwin Theatre collect from ticket sales of the Saturday performance?

Answers

The Gershwin Theatre collected the money from ticket sales of the Saturday performance would be $89180.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

At the Saturday matinee, 350 people attended the show.

The total number of people who watched the show on Saturday = 350

For the Saturday evening performance, 40% more people attended the performance.

350 x 40%

= 350 x 0.4

= 140

Total people will be = 350 + 140 = 490

If the average cost of tickets was $182

For 490 people = 490 x 182 = $89180

Hence, the Gershwin Theatre collected the money from ticket sales of the Saturday performance would be $89180.

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Triangle FGH is an equilateral triangle with sides measuring 34 StartRoot 3 EndRoot units.

Triangle F G H is shown. A perpendicular bisector goes from point G to point R on side H F. The length of G H is 34 StartRoot 3 EndRoot, the length of G F is 34 StartRoot 3 EndRoot, and the length of H F is 34 StartRoot 3 EndRoot.

What is the height of the triangle?

17 units
34 units
51 units
68 units

Answers

The height of the triangle FGH is equal to 51 units.

Triangle FGH is an equilateral triangle, thus we understand that each of its sides is identical.

Every side's length is specified as 34√3 units.

In order to split HF into two equivalent halves, use a perpendicular bisector. This implies,

34√3/2=17√3

By using the Pythagorean theorem, which states that the total of a triangle's two sides matches the square of its hypotenuse, we may determine the height.

a²+b²=c²

Here, a=17√3

b=height &

c=34√3

Therefore, from the above equation, we can say,

b²=c²-a²

⇒b²=(34√3)²-(17√3)²

⇒b²=([tex]34^{2}*3[/tex])-([tex]17^{2} *3[/tex])

⇒b²=3468-867

⇒b²=2601

b=[tex]\sqrt{2601}[/tex]

b=51 units

Hence, it is concluded that the height of the triangle is (c)51 units.

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Answer:

C. 51 units

Step-by-step explanation:

Embáulate the given function for f(8) f(x)=(x-5)2 f(8=

Answers

Answer:

f(8) = 9

Step-by-step explanation:

f(x)=(x-5)^2

Let x = 8

f(8)=(8-5)^2

     = 3^2

     = 9

The density of copper is 8.94 g/cm^3. What is the mass of a rectangular sheet of copper: 10 cm wide, 45 cm long, and 0.2 cm thick?

Answers

Density = mass/volume


Let mass=x

8.94= x/(10*45*.2)

X=8.94*90
Mass=804.6 g

Hope this helped :)

How do I even figure this out??

Answers

The value of a is 1/64.

The rules of the exponent are

(a) [tex]a^m*a^n=a^{m+n[/tex]

(b)[tex]a^m/a^n=a^{m-n[/tex]

(c)[tex](a^b)^c=a^{bc}[/tex]

(d) [tex]\sqrt[n]{a}=a^{1/n[/tex]

(e) a⁻ⁿ=1/aⁿ

From the table it is clear that

By the rule of the exponent a⁻ⁿ=1/aⁿ

where a=2

2⁻¹ = 1/2¹ = 1/2

2⁻² =1/2² =1/4

2⁻³ =1/2³ =1/8

2⁻⁴ =1/2⁴ =1/16

2⁻⁵ =1/2⁵ =1/32

So we have to calculate the left one where it is given that we have to estimate the value for 2⁻⁶ which is a.

From the above, it is clear that 2⁻ⁿ =1/2ⁿ

using the above formula

2⁻⁶= 1/2⁶ =1/64= a

Therefore the value of a is 1/64.

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Divide: 1,485 ÷ 0.09

1,485 ÷ 0.09

Answers

Answer:

16500

Step-by-step explanation:

16,500 is the correct answer

Complete the proof that ∠PST≅∠QRT.
S
P
Q
R
T

Answers

Answer: Transitive property of congruence

Answer:

  5.  Substitution

  6.  Substitution

Step-by-step explanation:

The properties of congruence generally match those of equality;

  A ≅ A . . . . reflexive property

  A ≅ B, B ≅ C ⇒ A ≅ C . . . . transitive property

  A ≅ B, A ≅ C ⇒ B ≅ C . . . . substitution

__

In this proof, the conclusions (statements 5 and 6) are based on substitution. In each case, the elements of the congruence have previously been shown to be congruent to the same thing. This is the setup for making use of the substitution property of congruence.

Hey I need to point of rotation for this question. Need the answer asap :)

Answers

Answer:

see explanation

Step-by-step explanation:

the vertices of S under the translation [tex]\left[\begin{array}{ccc}0\\-3\\\end{array}\right][/tex] are

(2, 3 ) → (2, 0 )

(6, 3 ) → (6, 0 )

(4, 5 ) → (4, 2 )

Under an anticlockwise rotation about the origin of 90°

a point (x, y ) → (- y, x ) then the above coordinates become

(2, 0 ) → (0, 2 )

(6, 0 ) → (0, 6 )

(4, 2 ) → (- 2, 4 )

which are the coordinates of the vertices of the image T

then the rotation is 90° anticlockwise about the origin , point (0, 0 )

Answer:

Below

Step-by-step explanation:

the vertices of S under the translation  are

(2, 3 ) → (2, 0 )

(6, 3 ) → (6, 0 )

(4, 5 ) → (4, 2 )

Under an anticlockwise rotation about the origin of 90°

a point (x, y ) → (- y, x ) then the above coordinates become

(2, 0 ) → (0, 2 )

(6, 0 ) → (0, 6 )

(4, 2 ) → (- 2, 4 )

which are the coordinates of the vertices of the image T

then the rotation is 90° anticlockwise about the origin , point (0, 0 )

Margret divides a packet of 20 biscuits among her 8 friends. Find the number of biscuits each friend gets. Express the answer as a rational number

Answers

The number of biscuits each friend can get would be 2.5.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Margret divides a packet of 20 biscuits among her 8 friends.

In order to find the number of biscuits each friend gets.

20 / 8

= 2.5

Hence, the number of biscuits each friend can get would be 2.5.

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Determine the period.

Answers

The period of the graphed function is T = 8.

How to get the period?

For a sinusoidal function, the period is the horizontal distance between two consecutive peaks.

Here we can see the first peak at x = 1, and the second peak is at x = 9.

The horizontal distance is: 9 - 1= 8.

Then we conclude that the period of the function is T = 8.

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Answer:

^ their right :)

Step-by-step explanation:

Its right on Acellus

have a great day!

Graph the line that represents the equation ​

Answers

(-10,-8) to (10,8) i in think

Which figure has two circular faces?
Figure A
O figure A
Ofigure B
figure C
figure D
Figure B
Figure C
Figure D

Answers

A cylinder is a 3D shape having two circular faces.

The answer is Figure A

I'm having trouble with inequalities, any help will be appreciated, thanks.

Answers

Answer:

-3/2 ≤ x < 5

Decimal form:

-1.5 ≤ x < 5

(hope this helps)

Can somebody please help answer this word problem using grass method? And showing how u get the answer thanks!!!


WILL MARK BRAINLIEST FOR WHOEVER ANSWERS THIS !!! :DD

Answers

Answer:3/20

Step-by-step explanation:

Fraction of total area mowed = (3/5) + (1/4) = 17/20

Therefore fraction of total area left = 1 - (17/20) = (20/20) - (17/20) = 3/20

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