Constant of Variation

For the function defined by I = 120/d², what is the constant of proportionality?

a. 120
b. undefined
c. 12
d. 1200

Please select the best answer from choices provided

Answer:

my best guess is A. ratio

Answer:

[tex] \to 5 \times \dfrac{3}{4} \\ \\ \to \dfrac{5 \times 3}{4} \\ \\ \to \dfrac{15}{4} \\ \\ \to \pmb{ 3 \dfrac{3}{4}}[/tex]

[tex] \to 2 \times 1 \dfrac{1}{2} \\ \\ \to 2 \times\dfrac{3}{2} \\ \\ \to \dfrac{2 \times 3}{2} \\ \\ \to \dfrac{6}{2} \\ \\ \to \pmb{3}[/tex]

Answer:

Save money by a job

Step-by-step explanation:

She can help peoplw, oe get a small job and save up :)

Answer:

125

Step-by-step explanation:

Formula Simple interest:

P x r x t

Answer:

4 ÷ 6/9 is also equal to 4 x 9/6. This is because when you divide by a fraction, you change the division sign to multiply and reverse the numerator and the denominator of the fraction. For example, if x/y was a fraction, it would become y/x. THIS IS ONLY DURING DIVISION!

So, we now that 4 ÷ 6/9 is equal to 4 x 9/6. 4 x 9/6 = (4x9)/6 = 36/6 = 6.

Part A) The independent variable is the hours that Tiya mows her neighbor's lawn, and we can denote that with x. It's the variable that isn't affected by other factors. The dependent variable is the amount of money Tiya earns, which we can denote with y. The dependent variable is the variable that is affected by other factors. The amount of money Tiya makes depends on how many hours she works.

Part B) As stated in part A, x is the hours and y is the money earned. The ordered pairs are in (x, y) form, with x being the hours and y being the money earned. For example, if Tiya worked one hour, x would be 1. As she earns 7 dollars per hour, she would earn 7 dollars (1*7), which is y. Therefore, one ordered pair could be (1, 7). Two hours would give Tiya 14 dollars, so we have another pair of (2, 14). Three hours would give Tiya 21 dollars, so we have (3, 21). We can do that for any numbers.

Part C) With every hour, Tiya earns 7 dollars. In order to find y, which is the amount of money totally earned, we multiply x by 7 (7 dollars per hour). Therefore, y = 7x.

The variables are:

And the proportional relation that relates them is:

y = $7*X

The only information that we know is that Tiya earns $7 per hour, so the only variables that we can use are money and time.

The independent variable will be time, because she can decide how much time can she work. The dependent variable is money, because how much she earns depends on how many hours she works.

The ordered pairs are of the form (number of hours, money).

Some examples for this case are:

We define the variables.

Because she wins $7 per hour, the proportional equation will be:

y = $7*x

If you want to learn more about proportional equations, you can read:

https://brainly.com/question/12242745

Answer:

[tex]\int _0^{\frac{3\pi }{2}}\left|\sin \left(x\right)\right|dx[/tex] = [tex]3[/tex]

Step-by-step explanation:

[tex]\int _0^{\frac{3\pi }{2}}\left|\sin \left(x\right)\right|dx[/tex] = [tex]\int _0^{\pi }\sin \left(x\right)dx+\int _{\pi }^{\frac{3\pi }{2}}-\sin \left(x\right)dx[/tex] = [tex]2+1[/tex] = [tex]3[/tex]

Answer:

Step-by-step explanation:

Answer:

u = 143º

Step-by-step explanation:

Sum of angles in a triangle is 180

The unknown angle IN the triangle

x + 90 + 53 = 180

x + 143 = 180

x = 37º

x and u are supplementary angle which total 180

u + 37 = 180

u = 143º

Answer:

2:7

Step-by-step explanation:

10:35 can also be written as 2:7

Thenks and mark me brainliest :))

Answer:

n

Step-by-step explanation:

s

Answer:

[tex]XY : WX = 1.39[/tex]

Step-by-step explanation:

Given

[tex]RS = 18; ST = 25; TR = 11[/tex]

Required

Which is closest to [tex]XY : WX[/tex]

From the question, we understand that: [tex]\triangle RST[/tex] and [tex]\triangle WXY[/tex] are similar.

This means that, the following sides are similar:

[tex]RS \to WX[/tex]

[tex]ST \to XY[/tex]

[tex]TR \to YW[/tex]

So:

[tex]XY : WX = ST : RS[/tex]

This gives:

[tex]XY : WX = 25 : 18[/tex]

Express as fraction

[tex]XY : WX = \frac{25 }{ 18}[/tex]

[tex]XY : WX = 1.39[/tex] --- approximated

Answer:

3^3 x 3.14

9 x 3.14 = 28.26

28.26  x 2 = 56.52

2 x 3.14 x 3 = 18.84

18.84 x 10 = 188.4

Now lets add all given areas:

56.52 + 188.4 = 244.92 m^2 for question 1

4 x 3.14 x 12^2

4 x 3.14 x 144 = 1,808.64 cm^2 is your answer for question 2

14^2 x 3.14

196 x 3.14 = 615.44

3.14 x 14 x 33 = 1450.68

1450.68 + 615.44 = 2,066.12 cm^2 is your answer for question 3 I think

Answer:

205891132094649

Answer:

C = 0.5t + 12. Independent variable is t and the dependent variable is C.

Step-by-step explanation:

$12 is constant, and then $0.50 is multiplied to the amount of toppings (t). So C= 0.5t + 12 and the cost is dependent on the amount of toppings.

Answer:

C = 0.5t +12

Step-by-step explanation:

this is the answer

Answer:

2/20

Step-by-step explanation:

since,there are 20 whole number and if u put 2 random number the,

probability(P)=favorable outcome/possible outcome

so p=2/20

Thank You

1. Base presents the whole number

❤️#CARRYONLEARNING ❤️

Answer:

Answer D

Step-by-step explanation:

120 + 81+ 39=240 silver bikes

80+54+26= 160 black bikes

Total 200 + 135 + 65= 400

240+ 160=400

Answer:

yes, because P(road bike) = 0.625 and P(road bike | silver) = 0.625

Step-by-step explanation:

Answer:

A line parallel has the same slope, so -3

The slope of the line that is parallel to line f is -3.

The given line f has a slope of -3.

We need to find the slope of the line that is parallel to line f.

The slope of parallel lines. The slope of parallel lines is equal. The parallel lines are equally inclined with the positive x-axis and hence the slope of parallel lines is equal. If the slopes of two parallel lines are represented as [tex]m_{1}[/tex], [tex]m_{2}[/tex] then we have [tex]m_{1}=m_{2}[/tex].

So, the slope of the parallel line=-3

Therefore, the slope of the line that is parallel to line f is -3.

To learn more about the slope of parallel lines visit:

https://brainly.com/question/11265736.

#SPJ5

Answer:

x={-3, 2}

Step-by-step explanation:

Solution to quadratic function are places where function crosses x axis, so where f(x)=0

Answer:

Step-by-step explanation:

-4 and 2

Answer:

517.2

Step-by-step explanation:

It has sides you're not seeing so don't forget those.

You need to find the area of the front, back, two sides, and bottom

Front & back:

6*5.2* 1/2

31.2/2 = 15.6 for each

Sides:

27*6 = 162 each

Bottom:

6*27 = 162

162+162+162+15.6+15.6= final answer

Answer: B

Step-by-step explanation:

First, you do 5.2 times 6 divided by two which is 15.6. Now you do 15.6 times two since there are two triangles and get 31.2. Now you do 27 times 6 times two and get 324 + 31.2 = 355.2. Lastly, you do 27 times 6 to get 162. 162+355.2 = 517.2

Answer:

[tex]x=37.4[/tex]

Step-by-step explanation:

In an right triangle, the cosine of an angle is equal to its adjacent side divided by the hypotenuse (a/h).

Therefore, we have the following equation:

[tex]\cos 68^{\circ}=\frac{14}{x},\\x=\frac{14}{\cos 68^{\circ}}\approx\boxed{37.4}[/tex]

Step-by-step explanation:

What is the circumference of the circle?

f) 52 cm2

e) 2610 cm2

Answer:

it is 32.

I know this because it was in my last year syllabus

Answer:

m = 60 years

Step-by-step explanation:

granddaughter's age in months is equal to her grandmother's age in years

d = m

The sum of the granddaughter's age in years and the grandmother's age in years is 65

d/12 + m = 65

Substitute

m/12 + m = 65

(13/12)m = 65

multiply both sides by 12/13

m = 65 * 12/13

m = 60 years

Answer:

60 years

Step-by-step explanation:

Let the age of grandmother be x years

So, age of granddaughter = x months = x/12 years

According to the question:

The sum of the granddaughter's age in years and the grandmother's age in years is 65.

[tex]x + \frac{x}{12} = 65 \\ \\ \frac{12x + x}{12} = 65 \\ \\ \frac{13x}{12} = 65 \\ \\ x = 65 \times \frac{12}{13} \\ \\ x = 60 \\ [/tex]

Thus, the age of grandmother is 60 years.

Answer:

La respusta es 16

Step-by-step explanation:

8x2=16

16+8=24

I hope this helps!!

Answer: 8 cows mooed

Step-by-step explanation:

Answer:

Triangles = 4

Rectangles = 2

Step-by-step explanation:

Triangle.

8/2 = 4 . ratio = 4:1 or fraction form as 4

Rectangle.

4/2 = 2. ratio = 2:1 or fraction form as 2

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

2.7

Step-by-step explanation:

Using PEMDAS you do 2-1.1 first which is is 0.9 then you multiply it by 4 you get 3.6 and then you subtract that by 6.3 and you get 2.7

Answer: 2.7

Use PEMDAS method.