Mathematics College

Identify the constant of proportionality from the graph. 11 10 9 00 7 6 5 1 2 3 4 5 6 7 8 9 10 11 O A. 4 B. 8 O c. D. 3

Answers

Answer 1

Answer:

A. 4

Step-by-step explanation:

Constant of proportionality (k) = y/x

We can use the coordinates of any point on the line to find k.

Let's use (2, 8)

Constant of proportionality (k) = 8/2

Constant of proportionality (k) = 4

Related Questions

Stephanie collected maple syrup from some of her trees. From the first set of trees, she collected 2 gallon of syrup. The second

1

and third set of trees yielded 3 gallons each.

Part A: How many gallons of syrup did she collect in all?

Part B: After using some of the syrup she collected for cooking, Stephanie found that she only had a gallons of syrup left. How

much syrup did she use for cooking?

Answers

Answer:

Part A - 8

Part B - 7

Step-by-step explanation:

Part A

She collected 8 gallons of syrup in total. Two gallons from first tree, three gallons from second tree and three gallons from third tree.

Part B

She used seven gallon of syrup for cooking.

She is left with one gallon syrup only out of total eight gallon syrup

Bob's Trees are selling trees. You have decided to buy some holiday trees to
donate to local nursing homes. They are selling for $50 each. If you have a
total of $400.00 to spend, how many trees were you able to donate?

Answers

Your answer would be eight

Use the quadratic formula to find the solutions for
y = 3x^3 + 8x - 1

Answers

Answer:

Solving the equation using quadratic formula we get [tex]\mathbf{x=0.119\:or\:x=-2.785}[/tex]

Step-by-step explanation:

We need to use the quadratic formula to find the solutions for

[tex]y = 3x^2 + 8x - 1[/tex]

(Note: quadratic formula is used when x^2 is in the equation. So considering 3x^2 instead of 3x^3)

The quadratic formula is: [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

From the given equation [tex]y = 3x^3 + 8x - 1[/tex] we have a =3, b=8 and c =-1

Putting values in the formula and finding solutions:

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-8\pm\sqrt{(8)^2-4(3)(-1)}}{2(3)}\\x=\frac{-8\pm\sqrt{64+12}}{6}\\x=\frac{-8\pm\sqrt{76}}{6}\\x=\frac{-8\pm8.71}{6}\\x=\frac{-8+8.71}{6}\:or\:x=\frac{-8-8.71}{6}\\x=0.119\:or\:x=-2.785[/tex]

So, Solving the equation using quadratic formula we get [tex]\mathbf{x=0.119\:or\:x=-2.785}[/tex]

28800000, 1440000, 72000, 3600, 180, ...

Answers

Answer: I'm confused. What are you asking here?

Step-by-step explanation:

Please answer quickly Thank You

Answers

Answer:

A. $ 46

B. 12 people.

Step-by-step explanation:

From the question given above, we obtained the following:

C(x) = 6.5x + 20

Where:

C => total cost of bowling

x => number of people

A. Determination of the of bowling for 4 people.

Number of people (x) = 4

Total cost (C) of bowling =?

C(x) = 6.5x + 20

C(4) = 6.5(4) + 20

C(4) = 26 + 20

C(4) = $ 46

Thus, it will cost $ 46 for 4 people to bowl

B. Determination of the number of people that can bowl for $ 98.

Total cost (C) of bowling = $ 98

Number of people (x) =?

C(x) = 6.5x + 20

98 = 6.5x + 20

Collect like terms

98 – 20 = 6.5x

78 = 6.5x

Divide both side by 6.5

x = 78 / 6.5

x = 12

Thus, 12 people can bowl for $ 98.

A market research firm studied the waiting time to order drinks during breakfast time at drive-thru in two coffee shop chains. For a sample of 30 locations of chain A, the sample standard deviation of waiting time was 21.2 seconds, and for a sample of 28 locations of chain B, the sample standard deviation was 31.4 seconds. Do these data suggest that the waiting time is more consistent in chain A

Answers

Answer:

Yes

Step-by-step explanation:

Given that :

CHAIN A:

Sample size n1 = 30

Sample standard deviation of waiting time s1 = 21.2

CHAIN B:

Sample size, n2 = 28

Sample standard deviation of waiting time s2 = 31.4

Null hypothesis H0: s1 = s2

Alternative hypothesis H1: s1 < s2

Test statistic ; Ftest : s1² / s2²

Ftest = 21.2^2 / 31.4^2

= 0.4558399

P value from F statistic : = 0.02 (using p value calculator)

Since the pval < 0.05

Then we reject the Null ; Chain A waiting time is more consistent

Your test in math class has problems worth 2 points and problems worth 4 points. Altogether the test has 100 points. Write an equation that represents the total points on the test formed by the number of 2-point problems and the number of 4-point problems.

Answers

Answer:

100 = 2x + 4y

Step-by-step explanation:

Factor the trinomial below COMPLETELY

5x^2 - 20x + 60

Answers

Answer:

± [tex]\sqrt{-800}[/tex] / 2 or ±800i

Step-by-step explanation:

there are no rational roots because the square root of a negative

i got the answer by using the quadratic formula: (-b ±√b2 - 4ac) /2a

Chase is making a cake for his daughter's birthday. The normal recipe calls for 8 ounces of butter and 16 ounces of sugar. Chase then decides to make a slightly smaller cake and only use 6 ounces of butter. How many ounces of sugar will he need in his smaller cake?

Answers

Answer:

A lot

Step-by-step explanation:

Why am I baking cakes. I SUCK.

There are 12 ounces of sugar will he need in his smaller cake.

What is Proportional?

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

The normal recipe calls for 8 ounces of butter and 16 ounces of sugar.

Let the amount of sugar will he need in his smaller cake = x

So, By definition of proportion, we get;

⇒ Amount of Butter / Amount of Sugar

⇒ 8 / 16 = 6 / x

⇒ x = 6 × 16 / 8

⇒ x = 12 ounces

Learn more about the proportion visit:

https://brainly.com/question/1496357

#SPJ2

The area A of a circle in square feet with a radius r in feet is given by the formula, A=πr2. What is the area of a circle with a radius of 3 feet? Round your answer to the nearest thousandths.

Answers

Answer:

28.29

Step-by-step explanation:

A=πr2

=3.14(3^2) (btw the ^2 is exponent)

=3.14(9)

=28.29

pls help 20 points I just need an explanation

Answers

Answer:

i=prt

i = 1,000 x 0.045 x 1.5

Step-by-step explanation:

Two pencils and one pen cost $0.80, and one pencil and two pens cost $1.15. How many cents would three pencils cost

Answers

Answer:

.33 cents

Step-by-step explanation:

(28 points) In the drawing, a regular polygon is partially covered by a rectangle. what is the number of sides of this polygon?

A: 6
B: 7
C: 8
D :60

Answers

Answer:

c:8

Step-by-step explanation:

✔

Answer:

C: 8

Step-by-step explanation:

find the value of x

Answers

if both sides are supposed to be equal, then x=59

John estimates that there is 150 people at the party. After counting, there are actually 148 people at the party
Find the percent error.
round your answer to the nearest hundredth

Answers

The error was 1.33333333 percent

Identify as an increase or decrease. Then find the percent of increase or decrease. If necessary, round to the nearest percent.

Original: 150

New: 130

Answers

Answer:

130 is a 13.333% or 13% decrease of 150.

Courtney walks 5 laps around 1/4 mile track. how far does she walk?

Answers

Answer:

1 1/4 miles

Step-by-step explanation:

Noah's cousin is exactly 7 years younger than Noah. Let C represent Noah's cousin age and N represent Noah's age. Age is measured in years.

1. Write a function that defines the cousins age as a function of Noah's age.

2. What variable represents the input of this function?

3. What variable represents the output of this function?

4. Write the inverse of the function you wrote.

5. What variable represents the input of the inverse function?

6. What represents the output of the inverse function?

Answers

Answer:

1. f(N) = C ,where C = N - 7

2. The input of the function is x = N

3. The output of the function = y = C = N -7

4. F(C) = N where N = C - 7

5. Input of the inverse function = C

6. Output of the inverse function = N = C - 7

Step-by-step explanation:

Let Noah's cousin age = C

and Noah's age = N

As given ,Noah's cousin is exactly 7 years younger than Noah.

⇒ C = N - 7

a.)

As we know that , A function is a maping of x to y such that f(x) = y

Let x = N , y = C

So, f( x) = y

⇒f(N) = C ,where C = N - 7

b.)

The input of the function is x = N

c.)

The output of the function = y = C = N -7

d.)

A inverse function is a mapping of y to x

i.e change the variable ,

As we have C = N - 7

It becomes

N = C - 7

So the inverse function becomes

F(C) = N where N = C - 7

e.)

Input of the inverse function = C

f.)

Output of the inverse function = N = C - 7

Can someone help me Write an equation for this graph?

Answers

Answer:

y = (2/3)x - 1

Step-by-step explanation:

y = mx + b

m = (y₂ - y₁) ÷ (x₂ - x₁)

m = (1 - (-1)) ÷ (3 - 0)

m = 2 ÷ 3

m = 2/3

Insert slope and one of the points. I'm using (0, -1).

Solve for b.

-1 = (2/3)0 + b

Answer:

$2,688 a week

Step-by-step explanation:

16 x 7 x 24 would be 2,688

Which equation represents the function shown on the graph? y = x y = x y = 2x y = 4x

Answers

The correct answer is y=4x because the slope of the graph (rise over run aka y/x) is 4/1 or 4

Answer:

The correct answer is y=4x

Step-by-step explanation:

Silvia has a coupon for 25% off an item that regularly costs $8. How much will Silvia pay if she uses the coupon?

Answers

Answer:

0.32

Step-by-step explanation:

just divide

Answer:

Step-by-step explanation:

25%= 1/4

8 divided by 4 =2

$2 is what is taken off

$8-$2 which is $6

Mitzy earned $3,156 last year at her weekend job, but realized after the year was over that her employer did not deduct any FICA from her paychecks. How much should she have paid in FICA taxes for her earnings last year? How much should she have paid in Social Security tax? How much should she have paid in Medicare tax? Together, they make up FICA. How much should she have paid in FICA?

Answers

PLEASE HELP, I need help with this too !!

Explanation:

Which ratio is equivalent to 1 : 8

Answers

Answer: 2:16

Step-by-step explanation:

Answer:

2 : 16

Step-by-step explanation:

1 : 8 2 : 16 3 : 24 4 : 32 5 : 40

6 : 48 7 : 56 8 : 64 9 : 72 10 : 80

11 : 88 12 : 96 13 : 104 14 : 112 15 : 120

16 : 128 17 : 136 18 : 144 19 : 152 20 : 160

21 : 168 22 : 176 23 : 184 24 : 192 25 : 200

26 : 208 27 : 216 28 : 224 29 : 232 30 : 240

31 : 248 32 : 256 33 : 264 34 : 272 35 : 280

36 : 288 37 : 296 38 : 304 39 : 312 40 : 320

41 : 328 42 : 336 43 : 344 44 : 352 45 : 360

46 : 368 47 : 376 48 : 384 49 : 392 50 : 400

51 : 408 52 : 416 53 : 424 54 : 432 55 : 440

56 : 448 57 : 456 58 : 464 59 : 472 60 : 480

61 : 488 62 : 496 63 : 504 64 : 512 65 : 520

66 : 528 67 : 536 68 : 544 69 : 552 70 : 560

71 : 568 72 : 576 73 : 584 74 : 592 75 : 600

76 : 608 77 : 616 78 : 624 79 : 632 80 : 640

81 : 648 82 : 656 83 : 664 84 : 672 85 : 680

86 : 688 87 : 696 88 : 704 89 : 712 90 : 720

91 : 728 92 : 736 93 : 744 94 : 752 95 : 760

96 : 768 97 : 776 98 : 784 99 : 792 100 : 800

Answer this pleaseee !!

Answers

Answer:

Step-by-step explanation:

m<F = m<B - Corresponding Angles Theorem

m<B + m<A = 180 - Adjacent Angles Theorem

180 - 105 = m<A

75 = m<A; therefore, m<A = 75.

Answer:

Step-by-step explanation:

Because F and C are consecutive angles, they add up to 180°. So 180-105=75. Angle C is 75, which makes B wrong. After finding that C is 75°, then you use the verticle angles theorem to show that angle A is 75°. Hope this helps you.

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Identify the constant of proportionality from the graph. 11 10 9 00 7 6 5 1 2 3 4 5 6 7 8 9 10 11 O A. 4 B. 8 O c. D. 3​

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Identify the constant of proportionality from the graph. 11 10 9 00 7 6 5 1 2 3 4 5 6 7 8 9 10 11 O A. 4 B. 8 O c. D. 3