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

HELP PLEASEEEE I CANT DO THIS QUESTION

Answers

the answer is 6 . i dont know how else to say
Part a should be 1,600 over 260 which should be 80/13. And as for the second one it should be 800 since half of 1600 is 800. -> 800/1600 in simplest form would be 1/2

please help! :( ive been stuck on this for about 30 minutes


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:

dimensions: 4x5x3

volume: 60 cube inches

Step-by-step explanation:

assuming each cube is a one inch cube:

the dimensions of the prism are length 5 -inches, width 4 -inches and height 3 -inches. So, 4x5x3

the volume of a prism is the length x width x height, so the volume is 4x5x3 = 60 inches cubed.

Answer:

length = 5 inches

width  = 4 inches

height = 3 inches

So dimensions are 5 x 4 x 3 inches

Volume = l · w · h

V = 5 · 4 · 3 = 60 square inches.

negative3.5 degree F, 5 degree F, 1.5 degree F, negative 0.5 degree F, negative 2 degree F, 2.5 degree F, negative 4 degree F. Part 1: Weather Analysis Plot and label the temperatures on a number line. You can create the number line by using a drawing program, by drawing it by hand and sending in a picture, or by describing in detail how the completed number line should look.

Answers

A thermometer can help us determine how cold or hot a substance is. Temperature is in most of the world measured and reported in degrees Celsius (°C). In the U.S. it is common to report temperature in degrees Fahrenheit (°F). In the Celsius and Fahrenheit scales the temperatures where ice melts (water freezes) and water boils are used as reference points.

please help me answer

Answers

Answer:

yes. alternate interior angles converse

Ez use the angles to boom

plz help me with the attcahment below

Answers

Step-by-step explanation:

...............MaRk As BrAiNeSt

Answer:

cos theta = BC/AC

Step-by-step explanation:

The cosine function is the ratio of the length of the adjacent side of one of the angles of a triangle to the length of the hypotenuse:

cos theta = BC/AC

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:

How would you do this?

Answers

it would be 6.0x4 because the square is 6.0 on each side
The answer is 6.0 x 4

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

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 :)

Which of the following is a step in simplifying the expression x multiplied by y to the power of 2 over x to the power of negative 3 multiplied by y to the power of 3, the whole to the power of negative 4.? (5 points)

x to the power of negative 4 multiplied by y to the power of negative 2, the whole over x to the power of negative 7 multiplied by y to the power of negative 1.
x to the power of negative 4 multiplied by y to the power of negative 8, the whole over x to the power of 12 multiplied by y to the power of negative 12.
x to the power of negative 4 multiplied by y to the power of negative 8, the whole over x to the power of negative 3 multiplied by y to the power of 3.
x to the power of negative 4 multiplied by y to the power of negative 2, the whole over x to the power of negative 3 multiplied by y to the power of 3.

Answers

Answer:

x to the power of negative 4 multiplied by y to the power of negative 8, the whole over x to the power of negative 3 multiplied by y to the power of 3

Step-by-step explanation:

B because when you multiply 4 times 2 8

How do you call a function that have a power higher than 1?

Answers

the power in the function
The power is in the function

simplify

(a^m/a^n)^m+n×(a^n/a^p)^n+p8×(a^p/a^m)^p+m

step by step

Answers

Answer:

m+a-1mn+m2+a-1np+n2n+a-mp+p2p8

Step-by-step explanation:

i just know sorry if this is wrong... :(

Da heck is this, ima go now, but it’s
A/m/a^m^a/n

Please help! I cannot figure this out.

Answers

X=60°

[ACCORDING TO THE PICTURE]

It’s 120 because one of the right angles is 150, and then you mirror it to the other side so 150 - 30 = 120
X=120

Celine's living room is 5 meters wide and 6 meters long. She wants to install white carpet that costs $3.00 per square meter. How much will it cost to buy enough carpet for the living room?

Answers

Answer:

$90

Step-by-step explanation:

First we find how much square meters are in the living room 5 x 6=30

Than we multiply by 3 for each square meter

30 x 3= 90.

Answer: 90$

Step-by-step explanation:

5 x 6 = 30m2

30 x 3 = 90$

[tex]Solve:\\x= -x[/tex]

Answers

You can subtract a negative number from a positive number or add a positive number to a negative number

Example:

4 - (7) = -3

Or

-8 + 9 = 1


Whatever you are adding has to be greater than the number you are adding on too

Example:

-3 + 5 = 2
Notice how the five is greater than 3

Whatever you are subtracting has to be Greater than the number you are subtracting from.

Example:

5 - 8 = -3
Notice how the eight is greater than five.



The situation changed when adding or subtracting with negative numbers. Every situation is different.



Hope this helps!

Good Luck!

You can subtract a negative number from a positive number or add a positive number to a negative number

Example:

4 - (7) = -3

Or

-8 + 9 = 1

Whatever you are adding has to be greater than the number you are adding on too

Example:

-3 + 5 = 2

Notice how the five is greater than 3

Whatever you are subtracting has to be Greater than the number you are subtracting from.

Example:

5 - 8 = -3

Notice how the eight is greater than five.

The situation changed when adding or subtracting with negative numbers. Every situation is different.

Hope this helps!

Alicia rented a car for a total of $380 for 2 1/2 days. what was the cost of the car per day?

A. $56/ day
B. $66/ day
C. $ 152/ day
D. $86/ day

Answers

Answer:

C. $152/day

Step-by-step explanation:

To find the cost per day, we have to divide the total cost by the number of days:

380/2.5 = 152

Note: 2 1/2 = 2.5

The correct answer is C 152
You divide 380 by 2.50

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

A number of baskets a company produces each day is shown in the table.

Answers

Answer:

a) Number of Days × 45 = Total of Blankets

b) 16425

Step-by-step explanation:

a) its the number of days (1, 2 ,3 so on) times 45 = number of blankets

b) 365×45 = 16425

i don't know i'm just trying to get points

hElP mEh

What integer does the arrow indicate?

-9
-14
-3
6

Answers

Lava lava shops gabba lava Ava

Solve the following inequality and create the representing number line.

4(2w+3) ≥ - 28

Answers

Answer:

4(2w+3) ≥ - 28

8w+12≥-28

8w≥-40

w≥-5

Hope This Helps!!!

Answer:

4(2w+3) ≥ - 28

8w+12≥-28

8w≥-40

w≥-5

HELPPPPP PLEASE
(04.02 MC)
What is the solution to the following system of equations?
4x + 2y = 6
x - y = 3
(2, 1)
(-2, -1)
(2, 4)
(2, -1)

Answers

Answer: Choice D.  (2, -1)

======================================================

Explanation:

Double everything in the second equation to go from x-y = 3 to 2x-2y = 6.

So we have this equivalent system of equations

[tex]\begin{cases}4x+2y = 6\\2x-2y=6\end{cases}[/tex]

We can then add straight down. The x terms add to 6x. The y terms go away because they add to 0. The stuff on the right hand sides add to 12.

After those three sets of addition operations, we have the new equation 6x = 12 which solves to x = 2 after dividing both sides by 6.

Now use x = 2 with any of the equations mentioned that have x,y involved so we can solve for y.

4x+2y = 6

4(2)+2y = 6

8+2y = 6

2y = 6-8

2y = -2

y = -2/2

y = -1

or we could say

x-y = 3

2-y = 3

-y = 3-2

-y = 1

y = -1

Either way, we get the same y value.

Since x = 2 and y = -1 pair up together, we get the ordered pair solution (x,y) = (2, -1). Therefore, the answer is choice D.

If you were to graph the two equations, as shown below, the two lines intersect at (2,-1). This point is on both lines at the same time. This is visual confirmation that the point is a solution to both equations. Though you should still algebraically check each original equation.

2,-1 is the answer i’m pretty sure

Proof that the formula Fn = Fn-1 + Fn-2 works
Fibonacci python

Answers

Umm— fn-1+Fn-2?? Fibonacci python
= f6 .

IV. The sum of the first n Fibonacci numbers with even indices is

f2 + f4 + ... + f2n = f2n+1 - 1.

Proof:

From II,

f1 + f2 + f3 + ... + f2n = f2n+2 - 1.

When we subtract the result from III, we get the desired result.

Example:

f2 + f4 + f6 + f8 + f10 + f12 = 1 +3 + 8 + 21 +55 +144

= 232

= f13 - 1 .

V. The sum of all (fn+1)/ (fn )

converges to the Golden Ratio.

3/1 + 5/3 + 8/5 + 13/8 .... converges to ) / 2.

Proof that Rn converges to the Golden Ratio:

Let R = lim Rn as n approaches infinity

= lim f n+1 / f n as n approaches infinity

= lim fn + fn-1 /fn as n approaches infinity

= lim (1 + fn-1/ fn) as n approaches infinity

= 1 + lim (fn-1 /fn ) as n approaches infinity

= 1 + 1/ lim (fn-1 /fn ) as n approaches infinity

= 1 + 1/R

So, R = 1 + 1/R,

or R^2 = R + 1,

R^2 - R - 1 = 0,

R = ( ) / 2

= ( ) / 2

Since Rn is positive, Rn = ( ) / 2 .

Thus, Rn converges to the Golden Ratio.

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.

what is the additive inverse of [tex]\frac{2}{3}[/tex]
A. 3/2
B. 0
C. -2/3
D. -3/2

show al your work please due very soon

Answers

Answer:

your answer is C. -2/3

Step-by-step explanation:

In mathematics, the additive inverse of a number a is the number that, when added to a, yields zero. This number is also known as the opposite (number), sign change, and negation. For a real number, it reverses its sign: the additive inverse (opposite number) of a positive number is negative, and the additive inverse of a negative number is positive. Zero is the additive inverse of itself. In this case, -2/3 is the additive inverse of 2/3.

I believe your answer would be C

Which sequence of transformations will change figure PQRS to figure P′Q′R′S′? (5 points)

A coordinate grid is labeled from negative 5 to 0 to 5 on both x and y axes at increments of 1. Figure PQRS has P at ordered pair 1, 2, Q at 2,1, R at 3,2, S at 3,3.

Figure P prime Q prime R prime S prime has P prime at ordered pair 1,negative 2, Q prime at 2,negative 1, R prime at 3,negative 2 and S prime at 3,negative 3.
Counterclockwise rotation about the origin by 180 degrees followed by reflection about the x-axis
Counterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axis
Counterclockwise rotation about the origin by 270 degrees followed by reflection about the x-axis
Counterclockwise rotation about the origin by 270 degrees followed by reflection about the y-axis

Answers

Answer:

Counterclockwise rotation about the origin by 180 degrees followed by reflection about the x-axis

Step-by-step explanation:

The equations x minus 2 y = 4, 4 x + 5 y = 8, 6 x minus 5 y = 15, and x + 2 y = 0 are shown on the graph below.

On a coordinate plane, there are 4 lines. Green line goes through (0, 0) and (2, -1). Blue line goes through (0, negative 2) and (2, negative 1). Pink line goes through (0.75, negative 2), and (2.5, 0). Purple line goes through (0, 1.5) and (2, 0).

Which system of equations has a solution of approximately (1.8, –0.9)?
6 x minus 5 y = 15 and x + 2 y = 0
4 x + 5 y = 8 and 6 x minus 5 y = 15
x minus 2 y = 4 and 4 x + 5 y = 8
6 x minus 5 y = 15 and x minus 2 y = 4

Answers

Answer:

Step-by-step explanation:

.1x7 8, 6

Answer:

its A on endg

Step-by-step explanation:

trust.

have yall noticed for the quiz that every answer so far is a (if ur on the same one i am, assuming we are)

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 rectangular lawn is 15 yards by 26 yards. It would cost $9.00 per yard to install a fence around the lawn. How much would it cost to put a fence around the lawn?

Answers

Answer: $738

Step-by-step explanation:

Find the perimeter:

15 + 15 + 26 + 26 = 30 + 52 = 82 yards.

Since it's $9 per yard, multiply:

82 · $9 = $738

Answer:

The answer is $738

simplify

(x^a)^b-c×(x^b)^c-a×(x^c)^a-b

step by step...

Answers

Answer:

= (xa+b)a-b .(xb+c)b-c. (xc+a)c-a

Or

= x(a+b)(a-b). x(b+c)(b-c) .x(c+a)(c-a)

Answer:

[tex]\left(x^a\right)^b-c\left(x^b\right)^c-a\left(x^c\right)^a-b[/tex]

[tex]=x^{ab}-cx^{bc}-a\left(x^c\right)^a-b[/tex]

[tex]=x^{ab}-cx^{bc}-ax^{ac}-b[/tex]

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

Hope it helps...

Have a great day!!

Sylvain spent a total of 18 hours on English and math homework over the last 3 weeks. He spent twice as much time on English than on math. Let x represent the number of hours spent on English and y represent the number of hours spent on math.

x + y = 18. x = 2 y.

What is the solution of the system of equations?
(12, 6)
(6, 12)
(9, 9)
(15, 3)

Answers

Answer:

12, 6

Step-by-step explanation:

we have two equations

x + y = 18 .... . (i)

and x = 2y .... .(ii)

substituting the value of x from eq. (ii) in eq. (i)

2y + y = 18

3y = 18

y = 6

putting this value if y in equation (ii) to get x

x = 2 × 6

= 12

therefore,

(12, 6) is the solution to the system of equations

x = 2y

2y + y = 18 x + y = 18
3y =18 x + 6 = 18
y = 6 x = 12


(12,6)

Other Questions
amy is walking laps whilst frank is jogging laps on the nature trail. Amy completes a lap in 15 minutes, frank completes a lap in 6 minutes. How long will it take before they both finish at the same time Redbud Company uses a certain part in its manufacturing process that it buys from an outside supplier for $44 per part plus another $6 for shipping and other purchasing-related costs. The company will need 10,000 of these parts in the next year and is considering making the part internally. After performing a capacity analysis, Redbud determined that it has sufficient unused capacity to manufacture the 10,000 parts but would need to hire a manager at an annual salary of $40,000 to oversee this production activity. Estimated production costs are determined to be:Direct material $ 28 Direct labor 12 Variable overhead 6 Fixed overhead (includes manager at $4 per unit) 10 Total unit cost $ 56A) Identify the relevant costs to make this part internally. 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Select one: a. she tries to kill him seconds after she has come to life. b. after she lays eyes upon his first creature she screams and is taken by disgust, refusing to go near him. c. e realizes that while his creature has made the promise to avoid man, the female creature has not, and could dislike the arrangements made before her creation and have her own personality and drive. d. he reflect on how women in his society are kept at home because they are too emotional and cannot be trusted; thus a female creature would without doubt be more cruel and murderous than the male. The following industries have a market-oriented location A. Newspapers B. Yahoo! Data center C. Paper mills D. Textiles Primary groups provide the members with ________________ needs while Secondary groups meet ___________________ needs for the members. 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