y varies inversely as the square of x
y=1.5 when x=8
Find y when x=5

Answers

Answer 1

Answer:

3.84

Step-by-step explanation:

Given that , y varies inversely as the square of x . Mathematically we can write this statement as ,

[tex]\implies\rm y \propto \dfrac{1}{x^2}[/tex]

Let k be the constant . Therefore ,

[tex]\implies\rm y = k \dfrac{1}{x^2}[/tex]

When y = 1.5 and x = 8 :-

Plug in the respective values ,

[tex]\implies\rm y = k \dfrac{1}{x^2} \\\\\implies\rm 1.5 = k \times \dfrac{1}{8^2} \\\\\implies\rm k = 1.5 \times 64 \\\\\implies\rm k = 96[/tex]

When x = 5 :-

[tex]\implies\rm y = k \dfrac{1}{x^2} \\\\\implies\rm y = 96 \times \dfrac{1}{5^2}=\dfrac{ 96}{25} \\\\\implies\rm\boxed{ y = 3.84 }[/tex]

Answer 2

Answer: 3.84

hope it helped!


Related Questions

State if is they are functions or not by filling in the blanks yes or no.

Answers

For a function, each x term must correspond to exactly one y term. We can use the vertical line test to determine whether or not that holds true for the following 6 graphs. If each x term corresponds to exactly one y term, then any vertical line that we draw on the graph should hit the graph at only one point.

1. We can't draw a vertical line that hits the graph at more than one

point so this relation must be a function.  

2. We can draw many vertical lines that will hit the graph at more than one point. Thus, we can conclude the graph shown here is not a function.

3. We can't draw a vertical line that hits the graph at more than one

point so this relation must be a function.  

4. We can't draw a vertical line that hits the graph at more than one

point so this relation must be a function.  

5. We can draw many vertical lines that will hit the graph at more than one point. Thus, we can conclude the graph shown here is not a function.

6. We can draw many vertical lines that will hit the graph at more than one point. Thus, we can conclude the graph shown here is not a function.

Answer:

yeah the other person is correct

Step-by-step explanation:

50 points !! Select the correct answer.
Which table represents the increasing linear function with the greatest unit rate?
A.
x y
2 16
5 10
B.
x y
2 14
6 12
C.
x y
2 -24
5 -15
D.
x y
2 -12
6 -16
E.
x y
2 -19
6 -17

Answers

Answer:

C.

x y

2 -24

5 -15

Step-by-step explanation:

We need to find the slope for each table

A.

x y

2 16

5 10

m = (y2-y1)/(x2-x1) = (10-16)/(5-2) = -6/3 = -2

B.

x y

2 14

6 12

m = (y2-y1)/(x2-x1) = (12-14)/(6-2) = -2/4 = -1/2

C.

x y

2 -24

5 -15

m = (y2-y1)/(x2-x1) = (-15--24)/(5-2) = (-15+24)/3 = 3

D.

x y

2 -12

6 -16

m = (y2-y1)/(x2-x1) = (-12--16)/(6-2) = (-12+16)/4 = 1

E.

x y

2 -19

6 -17

m = (y2-y1)/(x2-x1) = (-17--19)/(6-2) = (-17+19)/4 = 1

The greatest unit rate is the largest slope

 

 

D is correct answer

9(5x + 1) ÷ 3y From the expression above, provide an example of each of the following: sum, term, product, factor, quotient, and coefficient. If any are not present, write "not present." i need in 1 hour

Answers

Answer:

3 ( 5x + 1) / y

Answer.

Sum = 5x + 1

Term = 9 (5x + 1) ÷ 3y

Product = 9 (5x + 1)

Factor = (x - 1)

Quotient = [tex]\frac{15x + 3}{y}[/tex]

Coefficient = 15

Evaluate the expression shown below and write your answer as a fraction in simplest form.

Answers

Answer:

[tex]43/100[/tex]

Step-by-step explanation:

First, make both of the denominators into 100.

Then, 3/10 would be 30/100.

Finally, you can add them to get 43/100.

43/100
Make both denominators into 100 so that means 3/10 would be 30/100 then you add both so 30/100+ 13/100 only adding the numerators so it will equal 43/100

If you take a certain number and write a 9 to the right of it and add the doubled certain number to the result, the sum will be equal to 633. Find the certain number.

Answers

Hello,

let's say x is a certain number

10*x+9+2x=633

12x=624

x=52

Proof:

529+104=633

6347)?ugdfbjgdsigfffduj

How much money would be in an account that starts with $125 and earns 2% interest a year over 3 years
LOOKING FOR A GOOD UNDERSTANDING EXPLAINING PLEASE

Answers

Answer:

132.5d

Step-by-step explanation:

=125*2/100

=250/100

=2.5 money

it gains 2.5 d

after 3 years it will have 7.5d

125+7.5=132.5d

Answer:

132.5d

Step-by-step explanation:

The graph shows a journey in a car. Which of the statements most likely describes the journey at the portion of the graph labeled J?


The car continues its journey because the portion shows a linear function.
The car is waiting at the starting point because the portion shows a constant function.
The car is traveling the same distance per unit of time because the portion shows a linear function away from the starting point.
The car stops a distance away from the starting point because the portion shows a constant function away from the starting point.

Answers

Step-by-step explanation:

The car stops a distance away from the starting point because the portion shows a constant function away from the starting point.

I can confirm the one above me is the right answer

Step-by-step explanation:

CUZ I SAIDD

Triangle ABC is transformed to obtain triangle A′B′C′:


Which statement is correct for Triangle ABC. and Triangle A prime B prime C prime.?

A. Triangle ABC is similar to triangle A prime B prime C prime. because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 3. and then rotating it about the origin by 180 degrees

B. Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 4. and then rotating it about the origin by 90 degrees

C.Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 4. and then rotating it about the origin by 180 degrees

D. Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 6. and then rotating it about the origin by 90 degrees

Answers

Exactly what the other guy said
They are similar because the have the same angles just different sizes

Leon used the number line below to show -5 + 4. explain what is wrong with his model.

Answers

Well since he used -5, then it should be +5.
Step by step:
Hope that help a little I guess.

lets evaluate 81^-3/4.

Answers

Answer:

1/ 27

Step-by-step explanation:

[tex] = 81^{ \frac{-3}{4} } [/tex]

[tex] = (\frac{1}{81}) ^{ \frac{3}{4} } [/tex]

[tex] = (\frac{1}{3}) ^3 [/tex]

[tex] = \frac{1}{27} [/tex]

1/27 because that the answer

The graph of a function is shown:

A coordinate grid is shown from negative 5 to 5 on both axes at increments of 1. A graph shows three straight lines. The first straight line joins ordered pair negative 3, negative 2 with negative 2, 2. The second straight line joins ordered pair negative 2, 2 with 2, 2. The third straight line joins ordered pair 2, 2 with 4, 0. The ordered pair negative 3, negative 2 is labeled as A, the ordered pair negative 2, 2 is labeled as B, the ordered pair 0, 2 is labeled as C, the ordered pair 2, 2 is labeled as D, and the ordered pair 4, 0 is labeled as E.
In which part of the graph is the function increasing? (5 points)

AB
BC
CD
DE

Answers

Mark as brainalist
Answer is AB
the answer is AB hope this helps

Louise owns a hot dog stand. The amount of money she collects from selling hot dogs each day can be found by using the equation y=3.5x What does 3.5 from the equation represent in the situation?

Answers

Answer:

3.5 represents the cost of each hotdog ($3.50).

Step-by-step explanation:

In y = 3.5x, the x represents the number of hotdogs and the y represents the total amount you have to pay for those hotdogs. The 3.5 represents the cost of each hotdog.

3.5 (3.50$)is how much each hotdog cost

(08.05)The box plot shows the number of years during which 24 colleges have participated in a local college fair:
Years of Participation
0
10
5
Years
At least how many schools have participated for 2 years or fewer?
2schools
4schools
6schools
7 schools

Answers

Where is the plot (Unnecessary Stuff)
The answer is 7 schools or d

I NEED THIS RN IMMEDIATELY ASAP PLS HELP !!! INSTRUCTIONS ARE ON THE FIRST PIC! (pls no links to other sites)

Answers

Slope is 1/1 I have to have 20 characters or sum so goofy daisy Pluto Donald

What is the value of 10r - 5s +24 when r = 3 and s = 9?

Answers

9 is the correct answer, just substitute each letter with the given value :)

Answer: 9

Step-by-step explanation:

can anyone help me I'm confused?

Answers

Answer: 10 inches

Step-by-step explanation:

If the two triangles are similar, that means their sides are proportional to each other.

JK = 15JL = 15 + 6 = 21JM = 14

The proportion would look like this:

[tex]\frac{JK}{JL} =\frac{JN}{JM}\\[/tex]

Substitute in the values:

[tex]\frac{15}{21} =\frac{JN}{14}[/tex]

Cross-multiply and solve for JN:

[tex]21*JN=15*14\\JN=\frac{15*14}{21} =\frac{210}{21} =10[/tex]

Answer:

10 inches

Step-by-step explanation:

JM=14<JL=21

And you know that JN=X<JK=15

You also know that JM=14>JN=x

KL=6 so NM=4

JM= (14) - NM (4)= 10

Hope this makes sense, and can help!

When you add 6 to the product of a number and 10, the result is 36. What is the number?
A) 3
B) 6
C) 2
D) 4

Answers

Answer: the number is 3.

Step-by-step explanation:

(x × 10) + 6 = 36

[(3) × 10] + 6 = 36

Answer:

3

Step-by-step explanation

First let's create an equation

Let x = number

Product is outcome of multiplication

The product of 10 and a number can be written as 10x

Were supposed to add 6 to the product and that should equal 36

So the equation is 10x + 6 = 36

We now solve for x using basic algebra

10x + 6 = 36

Subtract 6 from both sides

10x = 30

Divide both sides by 10

X = 3

find the value of a and be when x is 12 a= 5x^2/2 b= 2x^2(x-5)/10x

Answers

Answer:

a=360

b=168

Step-by-step explanation:

a=5×12×12/2=5×12×6=360

b=2×12×12×(12-5)/10×12=2×12×7=14×12=164

answer a is 360 and answer b is 180 :)

A man received 7 per cent interest on a loan of $200 for 1 year. How much interest did he receive?

This is making a tad confused, even though i'm sure its easy to solve.

Answers

He received $14 because 7% of 200 = 14

please help if you can and if you know how to help me understand these Im all ears.

Answers

Aight let's answer this step by step

What you need to know is if two values are equal either one will be similar to the other it's only the format that's different if you calculate each of the fractions you'll see each pair is equal except for the last option

Where if calculated

8/3=2.67 but

5/4.8=1.04

Therefore values aren't equal to each other

Values aren’t equal to each other

Which of the equations is graphed below?

Answers

Answer:

D

Step-by-step explanation:

Slope of -2 that's going through y=1

so y=-2x+1

d is the correct answer bc if you plug in 0 you get 1 which is a point on the graph

please help me answer

Answers

Answer:

yes. alternate interior angles converse

Ez use the angles to boom

In Riverview Middle School, 20% of the students participate in after-school clubs. For every 100 students, how many are in an after-school club?
A) 2
B) 5
C) 20
D) 80

Answers

Answer:

Nicole is studying a two-way table. She has computed the relative frequencies by column for each cell. What characteristic of the data will imply an association between the two v

Step-by-step explanation:

C 20%
Because well the 20% of 100 is 20

Evaluate the expression shown below and write your answer as a fraction in simplest form.

Answers

Answer:

39/80

Step-by-step explanation:

Answer:

ok so first we have to make these fractions into the same fraction on the bottom

140/320+16/320=0.4875 which as a fraction is 39/80

Hope This Helps!!!

Can someone PLEASE help me?!

Answers

Answer:

156 inches of thread to make 3 tshirts becuase each shirt requires 52 inches of thread so 52 x 3 = 156

Step-by-step explanation:

Answer:

156 inches

Step-by-step explanation:

A container is in the shape of a triangular pyramid and has a height of 10 inches. The area of the base of the container is 12 square inches.

What is the volume of the figure in cubic inches?

40 cubic inches
120 cubic inches
60 cubic inches
360 cubic inches

Answers

40 cubic inches is the
60- (10x12)/3 this should be right

pls answer my question i am not sure

Answers

Answer:

Calculation: 3 1/2 - 4 1/7 - fraction calculator. ... How do you solve fractions step by step? ... to divide mixed numbers 1 2/3 : 4 3/8 or can be used for write complex fractions i.e. 1/2 : 1/3.

Answer: 288 √3

—————-

13

Step-by-step explanation:

ple heeeeelp TT eeeee

Answers

Answer:

you're right it is ASA

Step-by-step explanation:

the angles that correspond are both next to one side

Answer:

Angle R= Angle V (given)

Angle Q = Angle T (given)

RQ = VT (given)

Therefore ∆PQR is congruent to ∆UTV

Please Help!!
A) vertical angles
B) complementary angles
C) supplementary angles
D) none of the above

Answers

angle a and b are C) supplementary angles
The relationship between and b is that they are both supplementary angels

HELP PLEASE!!! i will give brainly! +10 points

Suppose each cube in this right rectangular prism is a -inch unit cube.



What are the dimensions of the prism?
What is the volume of the prism?

Answers

Answer:

1 number 1

Step-by-step explanation:

1 because of 1 of 1

Answer:

1000  hope its right

Step-by-step explanation:

8 · Find the volume of the rectangular prism with the dimensions 11 by 9 by 3. 23 in 297 in 318in 159in I think the answer is c 318 in. geometry A rectangular prism has a length of 4.2 cm, a width of 5.8 cm, and a height of 9.6 cm.

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