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

(02.02 MC)

Tim mixed 2 parts vinegar and 5 parts water to make a cleaning liquid. How many parts of vinegar did Tim mix with each part of water?

one over ten
one over five
two over seven
two over five

Answers

Answer:

2/5 or two over five

Step-by-step explanation:

2:5

Divide each by 5

2/5 : 1

2/5 * 1

2/5

Answer: 2 over 7

Step-by-step explanation:

2/(2+5) = 2/7

Help me please! It’s due in like 10 minutes and I’m barely on the 8th question !!!

Answers

Answer:A

Step-by-step explanation:campbella helped

Answer:

A

Step-by-step explanation:

6(5-3x) -5(3x+2)

multiply each expression by the number outside the bracket

6×5=30,6×-3x=-18x -5×3x=-15x,-5×+2=-10

30-18x-15x-10

group the like terms

30-10-18x-15x

20-33x

Rewrite 24.5 as a mixed number in lowest terms.



Rewrite 0.85 as a fraction in lowest terms.

Answers

Answer:

49/2, 17/20

Step-by-step explanation:

24.5=245/10=245÷5/10÷5=49/2

0.85=85/100=85÷5/100÷5=17/20

Answer:

Mixed numbers

a)  24  1/2  

b) 85/100 = 17/20

Step-by-step explanation:

a) as they asked mixed number we only have to create a fraction for the decimal 0.5 = 1/2 and rewrite 24 1/2 = 24.5

If the question asked for lowest terms 24/5 then 24.5% = 245/1000 = 49/200

b) rewrite 0.85 as a fraction in lowest terms

0.85 = 85% = 85/100 = 17/20

Pls help
Spam answers will be reported
Give a good explanation

Answers

Answer:

X = 20

The picture explains my answer

Answer:

The answer is X = 20

PLEASE HELP FAST, I CANT GET IT WRONG

Answers

Answer: I think it is 12 divided by 7

It’s 12 divided by 7 which is 1.7

simplify

(x^a.x^b)^a-b*(x^b.x^c)^b-c*(x^c.x^a)^c-a

step by step..

Answers

Answer:

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

Answer:

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

Hope it helped!

The blue shape is a dilation of the black shape. What is the scale factor of the dilation? Simplify your answer and write it as a fraction or whole number.

Answers

Answer:

3 or 3/1 (the 1 is the denominator)

Step-by-step explanation:

the shape got 3 times bigger. let me know

I believe this would be 3/1. The size was multiplied 3xs thus in factor form is 3/1

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

Marly gets 5 gems every 5 minutes. If Marely has 180 gems, how many minutes have passed?

Answers

Find out how many gems Marly can get in a minute.

5 gems = 5 minutes

1 gems = 5 divided by 5 = 1 minute

180 gems = 1 x 180 = 180 minutes

180 minutes have passed.



Answer:

180

Step-by-step explanation:

It is one gem per minute.

Eight hundred tickets are sold for a play. Thirty-five percent of those tickets were sold in advance. Which equation can be used to find the number of tickets sold in advance? StartFraction 800 divided by 8 Over 35 divided by 8 EndFraction = StartFraction 100 Over 4.375 EndFraction StartFraction 100 divided by 8 Over 800 divided by 8 EndFraction = StartFraction 12.5 Over 100 EndFraction StartFraction 35 times 8 Over 800 times 8 EndFraction = StartFraction 280 Over 6400 EndFraction StartFraction 35 times 8 Over 100 times 8 EndFraction = StartFraction 280 Over 800 EndFraction

Answers

Answer:

0.35(800)=x

x=number of tickets sold in advance

Step-by-step explanation:

Answer:

Divide 35÷100 which equals 0.35 then multiply 0.35×800 which equals 280 so the answer is 280 so the equation is 0.35×800=280.

Step-by-step explanation:

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.

In the figure shown, line AB is parallel to line CD.

Part A: What is the measure of angle x? Show your work. (5 points)

Part B: Explain how you found the measure of angle x by identifying the angle relationships that you used along the transversal. (5 points)

Answers

Answer:

Part A

x is 46°

Part B

Alternate angles are angles that are in relatively opposite locations relative to a transversal

Step-by-step explanation:

Part A

∠DRP  = 110° (Given)

∠QPA = 64° (Given)

∠QPR =

Given that AB is parallel to CD, we have;

∠DRP is congruent to ∠APR (Alternate angles to a transversal RP of parallel lines AB and CD)

Therefore, ∠APR = 115°

∠APR = ∠QPA + ∠QPR (Angle addition postulate)

∴ 115° = 64° +  ∠QPR

∠QPR = 110° - 64° = 46°

x = 46°

Part B.

Given that AB is parallel to CD, the lines common (that intersects) both lines are the transversal lines

The angles formed between the parallel lines and the transversal lines have special relationships based on their position with respect to each other

In the question, the angle 110° given between CD and the transversal RP, is found to at an alternate position to the angle ∠APR between the same transversal RP and AB and given that alternate angles are always equal, angle ∠APR is therefore also equal to 110°.

X would equal 46 degrees

In which line is an error first made when solving the equation below? -18 = 19z -9
Line One = z -9
Line Two = 11 = z
Line Three = z = 11
* Choose one of the following, A, B, C, D.*
A) no mistake was made
B) line 3
C) line 2
D) line 1

Answers

It’s line 3. Hope that helps :)

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 :)

Identify the initial value and rate of change for the graph shown

A coordinate plane graph is shown. A line passes through the y-intercept at 1 and through the point 5 comma 4.

Initial value: 1, rate of change 3 over 5.
Initial value: 3 over 5., rate of change: 0
Initial value: 1, rate of change 5 over 3.
Initial value: 5 over 3., rate of change: 0

Answers

initial value: 1. rate of change: 3 over 5.
Initial value:1,rate of change 3 over 5

What are some transformations that would map DFE to ABC on this coordinate plane? Other than a unit movement

Answers

Answer: You could use a translation since the shape is maintaining its orientation and size. All it’s doing is moving to the right.

a translation would move points while keeping the size and shape

does this make sence to anyone

Answers

What the dude above you said
The answer would be 490 one because the surface area is just the area of the whole figure so you’d find the area of each figure and add them all up

A rectangular portrait is 2 yards wide and 2 yards high. It costs $7.61 per yard to put a gold frame around the portrait. How much will the frame cost?

Answers

Answer:

$60.88

Step-by-step explanation:

2 yards wide and 2 yards high so thats 2 yards per side x 4 is 8, 8 x $7.61 is $60.88

hope this helps:)

a 2 by 2 portrait would look like this

⬜️⬜️
⬜️⬜️

the frame only goes around the edge of the portrait, so we should count how many yards there are on each edge

1. 2
8 ⬜️⬜️ 3
7 ⬜️⬜️ 4
6. 5

then, we multiply the 8 yards by the $7.61.

the answer is $60.88!

From an 18-pound cut of meat, Mr. Rand cuts off steaks weighting 1 pound 15 ounces, 3 1/8 pounds, and 4 1/2 pounds. He divides up the rest into 9-ounces patties and sells them at 3 for $3.12. How much money does he receive for the patties?

Answers

Answer is in the picture

The amount of money received by him will be $15.60.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division

The amount will be calculated as follows:-

The cut off amount = 18 - ( 1(15/16) -3(1/8)-4(1/2) = 8(7/16)

Now 16 ounces make a pound so divide by 16 we get:-

(135/16) ÷ ( 9 / 16 ) = ( 135/16 ) x ( 16 / 9 ) = 15

Dividing 15 by 3 we get 5 packs of 3 patties for $3.12

So amount = 3.12 x 5 = $15.60

Therefore the amount of money received by him will be $15.60.

To know more about Expression follow

https://brainly.com/question/723406

#SPJ2

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

Please help! I’m confused.

Answers

Step-by-step explanation:

We need to use the formula :-

2 (l + b) × h ---> For Lateral surface area

2(30+30) h = 7200

2×60×h = 7200

120 × h = 7200

h = 7200/120

h = 60 cm

Now, volume = l×b×h

= 30×30×60

= 54000 cm³ is the required answer.

Hope it helps! :D

Answer:

54000cm³

Step-by-step explanation:

7200=4*30x,so x=60

In other words, the length of the vertical side is equal to 60cm

The volume inside the kite=60*30*30=54000cm³

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

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)

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.

PLZ HELP 10 POINTS
Is the transformed figure (image) congruent to the original (pre-image) figure?

Answers

Congruent means there's exact shape and angle magnitude since transformation requires relocation of an image there's no change to it's shape therefore it's congruent

Congruent means it’s the same

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

Is the triangle obtuse, acute, equilateral or right?

Answers

9514 1404 393

Answer:

  obtuse

Step-by-step explanation:

The law of cosines tells you ...

  b² = a² +c² -2ac·cos(B)

Substituting for a²+c² using the given equation, we have ...

  b² = b²·cos(B)² -2ac·cos(B)

We can subtract b² to get a quadratic in standard form for cos(B).

  b²·cos(B)² -2ac·cos(B) -b² = 0

Solving this using the quadratic formula gives ...

  [tex]\cos(B)=\dfrac{-(-2ac)\pm\sqrt{(-2ac)^2-4(b^2)(-b^2)}}{2b^2}\\\\\cos(B)=\dfrac{ac}{b^2}\pm\sqrt{\left(\dfrac{ac}{b^2}\right)^2+1}[/tex]

The fraction ac/b² is always positive, so the term on the right (the square root) is always greater than 1. The value of cos(B) cannot be greater than 1, so the only viable value for cos(B) is ...

  [tex]\cos(B)=\dfrac{ac}{b^2}-\sqrt{\left(\dfrac{ac}{b^2}\right)^2+1}[/tex]

The value of the radical is necessarily greater than ac/b², so cos(B) is necessarily negative. When cos(B) < 0, B > 90°. The triangle is obtuse.

Obtuse Bc Ik it is so ye lol

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!!

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

A quadrilateral that has its opposite sides equal and its angles, not a 90 is called:
a. deltoid
b. parallelogram
c. rectangle
d. square
e. trapezoid

Answers

Yes. They are correct it’s C
ANSWER: Parallelogram
EXPLANATION: It is saying that the angles are not 90 degrees, while all the options angles would be 90 except the parallelogram because it is a slanted rectangle/square.
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