What is the constant of proportionality between y and a in the graph below?
2
10
1 2 3 4 5 6 7 8 9 10
86
7
6
5
4
3
2
1
0
Xeno
X
1/2
21/3
|
3/2

What Is The Constant Of Proportionality Between Y And A In The Graph Below?2101 2 3 4 5 6 7 8 9 108676543210XenoX1/221/3|3/2

Answers

Answer 1

The constant of proportionality between y and x in the graph is 3/2 option third is correct.

What is a proportional relationship?

It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.

We have a graph shown in the picture.

As we can see, the given graph shows a line, which passes through (0, 0)

y = ax

a is the constant of proportionality.

We have two points (0, 0) and (6, 9) (from the graph)

From the above two points, we can find the equation of a line.

y = (9/6)x

y = (3/2)x

The value of the constant of proportionality is 3/2

Thus, the constant of proportionality between y and x in the graph is 3/2 option third is correct.

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Related Questions

i need help on this please​

Answers

Answer:

C
You have to use radius not the diameter

The answer I believe is “A”

Kofi is 8years old and his mother is 42. In how many years will his mother's age be 3 times more than kofi's age?​

Answers

Answer:

After 9 years mother's age will be 3 times more than kofi's age .

Step-by-step explanation:

Given

Age of Kofi = 8 years

Age of Mother = 42 years

According to question , 3 times more than kofi's age .

=> ( 8+ x ) 3 = 42 + x

=> 24 + 3x = 42 + x

=> 3x - x = 42 - 24

=> 2x = 18

=> x = 18/2

=> 9

After 9 years ,

Age of Kofi = 8 + 9 = 17 years Age of Mother = 42 + 9 = 51 years

can you help me solve this equation? 20 POINTS

Answers

Answer:

x = 63

Step-by-step explanation:

In [tex]\odot \:O, [/tex] ML and MN are tangents from external points M at points L and N respectively. OL and ON are radii of the circle.

[tex]\implies ML\perp OL,\:\&\: MN \perp ON[/tex] (By tangent theorem)

[tex]\implies m\angle MLO = m\angle MNO = 90\degree[/tex]

[tex]m\angle LON = 117\degree[/tex] (Given)

In quadrilateral LMNO, by interior angle sum theorem, we have:

[tex] m\angle LON+m\angle MOL +m\angle MON +m\angle LMN= 360\degree[/tex]

[tex] \implies 117\degree+90\degree +90\degree +x\degree= 360\degree[/tex]

[tex] \implies 297\degree+x\degree= 360\degree[/tex]

[tex] \implies x\degree= 360\degree-297\degree[/tex]

[tex] \implies x\degree= 63\degree[/tex]

[tex] \implies\red{\boxed{\bold{ x= 63}}}[/tex]

Answer:

63°

Step-by-step explanation:

The central angle is 117°The angles at the tangent are 90° each (property of tangents)

Applying the Angle Sum of Quadrilaterals,

117° + 2(90°) + x° = 360°180° + x° = 243°x° = 63°

please tell me the answers of. the question please ​

Answers

Answer:

1%

Step-by-step explanation:

Money spent by the stationer :

100 books x 80 rupees8000 rupees

Money earned (after donation and sales) :

Donated 10 books = 0 rupeesSold rest at 88 rupees per book90 books x 88 rupees7920 rupees

Here, the money spent is more than the money earned. Hence, we have to find the loss percentage.

Loss % = New - Old / OldLoss % = 7920 - 8000 / 8000Loss % = -80/8000Loss % = -1/100

The loss percentage is 1%

Use definition of a derivative to compute the derivative of g(x)= 1/3x^2

Answers

If g(x) = 1/(3x²), the by the definition of the derivative, we have

[tex]\displaystyle g'(x) = \lim_{h\to0} \frac{g(x+h) - g(x)}h[/tex]

[tex]\displaystyle g'(x) = \lim_{h\to0} \frac{\frac1{3(x+h)^2} - \frac1{3x^2}}h[/tex]

[tex]\displaystyle g'(x) = \lim_{h\to0} \frac{\frac{x^2}{3x^2(x+h)^2} - \frac{(x+h)^2}{3x^2(x+h)^2}}h[/tex]

[tex]\displaystyle g'(x) = \lim_{h\to0} \frac{x^2 - (x+h)^2}{3x^2(x+h)^2h}[/tex]

[tex]\displaystyle g'(x) = \lim_{h\to0} \frac{x^2 - x^2 - 2xh - h^2}{3x^2(x+h)^2h}[/tex]

[tex]\displaystyle g'(x) = - \lim_{h\to0} \frac{2xh + h^2}{3x^2(x+h)^2h}[/tex]

[tex]\displaystyle g'(x) = - \lim_{h\to0} \frac{2x + h}{3x^2(x+h)^2}[/tex]

[tex]\displaystyle g'(x) = - \frac{2x}{3x^4} = \boxed{-\frac2{3x^3}}[/tex]

find the solution set of the inequality 52-3x<-14

Answers

Answer:

22<x

Step-by-step explanation:

52-3x<-14

66<3x

(we divide both sides to 3)

22<x

Please solve this puzzle

Answers

Answer:

a = 25 m²

b = 5 m

c = 7.94 m

d = 35.73 m²

Code:    H I A B

Step-by-step explanation:

Formulae

Pythagoras’ Theorem:    [tex]a^2+b^2=c^2[/tex]

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Area of a square = x²  (where x is the side length)

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

Assuming that all the quadrilaterals are squares.

Side length of blue square with area 16 m² = √16 = 4 m

Side length of yellow square with area 9 m² = √9 = 3 m

Use Pythagoras' Theorem to find the length of b:

[tex]\implies 4^2+3^2=b^2[/tex]

[tex]\implies b^2=25[/tex]

[tex]\implies b=\sqrt{25}[/tex]

[tex]\implies b=5\: \sf m[/tex]

Now we have found length b, we can find area a:

[tex]\textsf{Area a}=b^2=5^2=25\: \sf m^2[/tex]

Side length of purple square with area 144 m² = √144 = 12 m

Side length of green square with area 81 m² = √81 = 9 m

Use Pythagoras' Theorem to find the length of c:

[tex]\implies 9^2+c^2=12^2[/tex]

[tex]\implies c^2=63[/tex]

[tex]\implies c=\sqrt{63}[/tex]

[tex]\implies c=3\sqrt{7}[/tex]

[tex]\implies c=7.94\: \textsf{(nearest hundredth)}[/tex]

Now we have found length d, we can find area d:

[tex]\textsf{Area d}=\dfrac{1}{2}(9)(7.94)=35.73\: \sf m^2[/tex]

Code:    H I A B

Find b

√16+9√255

#a

Area

b²5²25m²

H

#b

Done already

I

#c

√144-81√63c=7.94

A

#d

1/2(7.94)(9)35.73m²

B

Code is

HIAB

One morning the temperature in Bangor, Maine was 18 degrees. By afternoon, it had dropped 20 degrees. What was the afternoon temperature? Show your work.

Answers

-2
18-20=-2
18-18=0
20-18=2
0-2=-2

One morning the temperature in Bangor, Maine was 18 degrees. By afternoon, it had dropped 20 degrees. The afternoon temperature in Bangor, Maine, was -2 degrees.

To find the afternoon temperature, we need to subtract 20 degrees from the morning temperature of 18 degrees.

Afternoon temperature = Morning temperature - Temperature drop

Afternoon temperature = 18 degrees - 20 degrees

To perform the subtraction, we have to handle negative numbers:

Afternoon temperature = 18 degrees - 20 degrees

Afternoon temperature = -2 degrees

So, the afternoon temperature in Bangor, Maine, was -2 degrees.

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I need help, question is in image.​

Answers

Answer:

[tex]9 > x > - 4[/tex]

9 is greater than x and -4 is less than x

Answer:

- 4 < x < 9

Step-by-step explanation:

given 9 is greater than x then x is less than 9 and - 4 < x , so

- 4 < x < 9

The coordinates of a parallelogram are given segment AB is parallel to the x-axis determine the values for a,b,c,d

Answers

Answer:

a=3 d=1 b and c cant be solved

Step-by-step explanation:

because segment AB is parallel to x axis . So the slope of ABco is 0. So the y value is congruent

a=3 d=1

We know AB=CO b+2=8-C

we can only find ad, but we could not get b,c

7cm
10cm
1 Define the perimeter of any closed two-dimensional shape.
2 Hence, calculate the perimeter of the figure above.

Answers

Perimeter = 2(l+b) is correct i think

find the perimeter of the figure below, in centimeters

Answers

Answer:

73

Step-by-step explanation:

(7.7 * 2) + (9.6 * 6) = 74

Which of the following is in standard form of quadratic?

Answers

The answer would be the first one at the top. Standard form is (ax^2+bx+c), this is what the equation shows

Can someone help me with the steps to create the formula? It involves quadratics​

Answers

The formula of the quadratic function passing through the points (-2,0), (8,0) and (2, -24) is f(x) = x² - 6x - 16

How to create the formula?

The points are given as:

(-2,0) , (8,0) and (2, -24)

The points (-2,0) and (8,0) are the zeros of the function.

So, we have:

f(x) = a(x + 2)(x -8)

Substitute (2, -24) in the above equation

-24 = a(2 + 2)(2 -8)

Evaluate the sum and the difference

-24 = a(4)(-6)

Divide both sides by -24

a = 1

Substitute a = 1 in f(x) = a(x + 2)(x -8)

f(x) = (x + 2)(x -8)

Expand

f(x) = x² + 2x - 8x - 16

Evaluate the like terms

f(x) = x² - 6x - 16

Hence, the formula of the quadratic function is f(x) = x² - 6x - 16

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I need help asap!!!

Answers

Answer:

x-30+x+50=180(being co interior angle)

2x+20=180

2x=180-20

x=160/2

x=80

putting the value of x in x-30

80-30=50

again

y+50=180(being co interior angle)

y=180-50

y=130

Step-by-step explanation:

hope this will help you

They are same side ineterior so supplementary

x-30+x+50=1802x+20=1802x=160x=80

Again

x-30+y=180x+y=21080+y=210y=130

Victoria had $200 in her account at the end of one year. at the first of each subsequent year she deposits $15 into the account and earns 2% interest on the new balance, compounded annually. which recursive formula represents the total amount of money in victoria’s account at the end of the nth year?

Answers

The recursive formula is; 1.02(an-1 + 15) a1=200 based on the question.

What is a recursive formula?

The term recursive formula can be used to describe the derivation of a term in a sequence based on the previous term.

Given the information in the question, the recursive formula is; 1.02(an-1 + 15) a1=200.

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Show how to write 3/4 with the denominator 12

Answers

3/4*3/3=9/12

Hope this helps

Consider functions f and g

vvvv

Answers

Answer:

C. 77x⁷ + 78x⁶ - 27x⁵

Step-by-step explanation:

Operation of functions

f(x) g(x)

f(x) • g(x) = (11x³ - 3x²)(7x⁴ + 9x³)

Simplify or expand

(11x³ - 3x²)(7x⁴ + 9x³)

Expand the expression

11x³ × 7x⁴ + 11x³ × 9x³ - 3x² × 7x⁴ - 3x² × 9x³

Multiply

77x⁷ + 99x⁶ - 21x⁶ - 27x⁵

Combine like terms

77x⁷ + 78x⁶ - 27x⁵

Hope this helps and have a nice day


You deposit $800 in an account that pays 8% annual interest compounded quarterly. About how
long will it take for the balance to triple?

Answers

Answer: t = 13.73


Explination:

Youre going to use the equation A= Pe^rt
A= 2400 (800 trippled)
P= 800 because thats your deposit
E=0.08 (this is 8% as a decimal)
T= time, this is what youre going to find since its how long for it to tripple

Now lets do the math

2400. 800 e^0.08%
——— = ———————-
800 800

(Take 2400/800 this equals 3)
Now you’ll have this
3= e^0.08

Ln 3 = Ln e^0.08t
Ln3=0.08t Ln e

Now we have to get rid of 0.08

Ln 3 0.08t
——— = ————
0.08 0.08

Now in your calculator:

Ln (3) / 0.08 = 13.73265…..

So rounding this gives 13.73
T=13.73

Angle C is inscribed in circle O. AB start overline, A, B, end overline is a diameter of circle O. What is the measure of \angle B∠Bangle, B?

Answers

The measure of ∠angle B when Angle C is inscribed in circle O and AB is a diameter of circle O, is 19 degrees.

What is triangle angle sum theorem?

According to the triangle angle sum theorem, the sum of all the angle(interior) of a triangle is equal to the 180 degrees.

In the image attached below:

Angle C is inscribed in circle O. AB is a diameter of circle O.

The measure of the angle A is,

[tex]m\angle A=71^o[/tex]

The measure of the angle C in a semicircle is,

[tex]m\angle C=90^o[/tex]

The sum of all the angle(interior) of a triangle is equal to the 180 degrees. Thus,

[tex]\angle A+\angle B+\angle C=180\\90+\angle B+71=180\\\angle B=180-90-71\\\angle B=19^o[/tex]

Thus, the measure of ∠angle B when Angle C is inscribed in circle O and AB is a diameter of circle O, is 19 degrees.

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A cosmetologist conducted a survey to see which color hair was most popular among her customers. She surveyed 160 people. The results are shown in this circle chart.

How many more customers chose brown than red?


24 customers

35 customers

40 customers

88 customers
Circle graph titled Hair Color showing colors by percentage. Sectors are labeled Brown, 40 percent. Red, 15 percent. Black, 25 percent. Blonde, 20 percent.

Answers

Answer:

40 customers

Step-by-step explanation:

40% brown,

25% black

20% blonde

15% red

100% = 160

(40* 160)/ 100

6400 / 100 = 64

40% = 64 customers

(15 * 160)/100

2400/100 = 24

15% = 24 customers

64 customers - 24 customers =40 customers.

6a+6b Factorise these expressions.

Answers

factor by recognising there is a common factor of 6
so 6a + 6b = 6(a + b )

You are the manager at the town pool. You need to build a fence around the new children's pool area. The pool is 5 feet wide by 8 feet long. You want the fence to be the same distance "x ft" from all sides of the pool, except you need to put a lifeguard chair at one end of the width, so the fence should be twice as far away from the pool on that one side. How many linear feet of fencing must you buy? (Use an algebraic approach to receive credit for your solution)​

Answers

The length of the fence which needs to be put around the pool will be 26 feet.

What is a rectangle?

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.

You are the manager of the town pool.

You need to build a fence around the new children's pool area.

The pool is 5 feet wide by 8 feet long.

You want the fence to be the same distance "x ft" from all sides of the pool, except you need to put a lifeguard chair at one end of the width, so the fence should be twice as far away from the pool on that one side.

Then the length of the fence which needs to be put around the pool will be

P = 2 (5 + 8)

P = 2 x 13

P = 26 ft

Then the length of the fence which needs to be put around the pool will be 26 feet.

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The radius of a small ornament in the shape of a sphere is 2 inches. what is the approximate volume of the ornament? use 3.14 for pi. round to the nearest tenth of a cubic inch. recall the formula v = four-thirds pi r cubed. inches cubed

Answers

Answer:  33 is your answer my love.

Step-by-step explanation: Hope this helps.

Answer:

33 give the guy above me branliest

Step-by-step explanation:

Solve the equation. Determine the solution(s) and any extraneous solution.
√2x = x - 4

Answers

I assume you mean the equation

√(2x) = x - 4

Take the square of both sides. Note that √(2x) is a non-negative number, so any solution we find must also satisfy x - 4 ≥ 0, or x ≥ 4.

(√(2x))² = (x - 4)²

2x = x² - 8x + 16

x² - 10x + 16 = 0

(x - 8) (x - 2) = 0

x - 8 = 0   or   x - 2 = 0

x = 8   or   x = 2

If x = 2, then x ≥ 4 is false. The only solution is then x = 8.

For the exact binomial test, we are using the binomial distribution assuming ____________________ to compute the probability of observing the equal number of successes or more extreme number of successes.

Answers

Answer:

The proportion defined by the null hypothesis.

Step-by-step explanation:

Last year, the number of skateboards produced by a skateboard company is normally distributed. The standard deviation of skateboards produced was 20 skateboards. They found they produced up to 280 skateboards on 93.32% of the days last year. Use this information to find the average number of skateboards produced per day last year.

Answers

The average number of skateboards produced per day last year is 310.

What is a normal distribution?

It's the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.

We have:

The standard deviation of skateboards produced was 20 skateboards. They found they produced up to 280 skateboards on 93.32% of the days last year.

Z- score at 93.32% is -1.5

We know:

[tex]\rm Z = \dfrac{(x - \mu)}{\sigma}[/tex]

[tex]\rm -1.5 = \dfrac{(280 - \mu)}{20}[/tex]

μ = 280 + 30

μ = 310

Thus, the average number of skateboards produced per day last year is 310.

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Anna is painting the outside of cardboard box for an art project. The box is a rectangular prism that has a lenght of 24 inches, a width of 24 inches, and a height of 30 inches. Fine the Surface area of the cardboard box.

Answers

Answer:
SA = 2016^3 inches

Step-by-Step-Explanation
SA = lw(2) + wh(2) + hl(2)
SA = 24(24) + 24(30) + 30(24)
SA = 576 + 24(30) + 30(24)
SA = 576 + 720 + 720
SA = 1296 + 720
SA = 2016^3 inches

Helppp meee please so confused

Answers

Answer:

1. Blue = 8 votes

2. Green = 4 votes

3. Yellow = 6 votes

4. Red = 2 votes the first 2 votes one

5. Pink = 2 votes the second one that says 2 votes.

Step-by-step explanation:

okay I understand this.

You just use the colors from above and fill them in in order.

Answer:

1.blue has got 8 number of votes

2.yellow has got 4 number of votes

3.green has got 6 number of votes

4.red has got 2 number of votes

and the last one is written there

Explanation:

I hope it helps

need help with this one geometry problem asap

Answers

Answer:

Step-by-step explanation:

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