f varies inversely as the square of d. When d=2, f = 6. Find d when f is 1.5

Answers

Answer 1

Answer:

d = 4

Step-by-step explanation:

Given f varies inversely as d² then the equation relating them is

f = [tex]\frac{k}{d^2}[/tex] ← k is the constant of variation

To find k use the condition when d = 2, f = 6 , then

6 = [tex]\frac{k}{2^2}[/tex] = [tex]\frac{k}{4}[/tex] ( multiply both sides by 4 )

24 = k

f = [tex]\frac{24}{d^2}[/tex] ← equation of variation

When f = 1.5 , then

1.5 = [tex]\frac{24}{d^2}[/tex] ( multiply both sides by d² )

1.5d² = 24 ( divide both sides by 1.5 )

d² = 16 ( take the square root of both sides )

d = [tex]\sqrt{16}[/tex] = 4


Related Questions

Find the quotient.
(12x^2 - 10x-12) = (3x + 2)

2x-3
4x + 6
3х + 2
4x - 6

Answers

I believe the answer to this problem is 4x-6

(12x^2-10x-12)÷(3x+2)

=(2x-3)(3x+2)÷(3x+2)

=(2x-3)

Step-by-step explanation:

Answer would be (2x-3)

0.23 is a whole number?​

Answers

Answer:

0.23 is a fraction and there is no way to represent it as a whole number.

hope it helps :)

Step-by-step explanation:

Which is more, 1 quart or 3 cups?

Answers

Answer:

1 quart is more.

Step-by-step explanation:

1 quart =4cups so 1 quart is more.

Answer:

1 liquid quart is more then 3 cups because 1 quart is the same as 4 cups and 4 cups is more then 3 cups...

find the value of angel 0 to the nearest 10th

Answers

Answer: 36.9

Step-by-step explanation:

For this question you have to find out whether you are using Sin, Cos or Tan.

To work out which one you are using you can use SOH CAH TOA to help you.

SOH- The 'S' is for Sin, the 'O' and the 'H' is for Opposite over Hypotenuse.

CAH- The 'C' is for Cos and the 'A' and the 'H' is for Adjacent over Hypotenuse.

TOA- The 'T' is for Tan, the 'O' and the 'A is for Opposite over Adjacent.

As you have the Opposite (the side opposite the angle we're looking for) and the Adjacent (the side next to the angle were looking for) we would be using Tan.

So first you would have to write:

Tanθ=3/4

Then because we want Theta (θ) on it's own we would have to do the inverse to 'undo' the equation. Tan-1 is the inverse of Tan.

θ=Tan-1 3/4

To find the answer you would have to put it in your calculator.

θ=36.9

Hope this helps :)

The sum of two numbers is 8. Two times the larger number plus four times the smaller number is 8. Find the numbers.

Answers

Answer: 12 and -4

Step-by-step explanation:

Assume the larger number is x and the smaller one is y.

In that case the relevant simultaneous equations are:

x + y = 8

2x + 4y = 8

Use substitution to find relative value of y:

x + y = 8

y = 8 - x

Use to solve equation:

2x + 4y = 8

2x + 4(8 - x) = 8

2x + 32 - 4x = 8

2x  - 4x= 8 - 32

-2x = -24

x = -24 / -2

x = 12

y = 8 - x

= 8 - 12

= -4

please help i need answers now

Answers

Answer:

D

Step-by-step explanation:

Decide whether 2 x + 8 and 2(× + 4) + 4 are equivalent expression. explain how you know.​

Answers

Answer:

They are not equivalent

Step-by-step explanation:

2(x+4)+4

First you distribute the 2.

2x+8+4

Then combine like terms

2x+12

Therefore they are not equivalent

Hegarty please help me

Answers

Answer:

wait let me try and see this carefully and then I will help you

Help with number 1 please.

Answers

Answer:

Step-by-step explanation:

The table shows the production cost for various quantities of widgets made.

Answers

Answer:

Step-by-step explanation:

First find the rate of change or slope denoted as m

m=(y2-y1)(x2-x1) we can find the slope with any two points.

m=(35000-25000)/(600-200)

m=10000/400

m=25

Now that we know the slope we can find the y intercept or original cost

C(n)=25n+b, using any point we can solve for b, I’ll use (200, 25000)

25000=25(200)+b

25000=5000+b

b=20000 so now we know the complete equation.

C(n)=25n+20000

Answer C.

help pls ! I’ll mark brainliest

Answers

Answer:

[tex]y = x + 3[/tex]

Step-by-step explanation:

Y in math is usually referred as the output.

X is usually the input.

In other words,

y is 3 more greater than x.

In other words,

[tex]y = x + 3[/tex]

A circle whose center is (2,0) and passes through the point (-5,0).

Answers

Answer:

2791

Step-by-step explanation:

Yea

2179 because of da measurements

Rico complained to his brother that he had to rollover a payday loan seven times before finally saving enough money to pay it off. In the end it cost him $450. What finance charge was Rico paying the payday lender every two weeks if he originally wanted to borrow $250?

Answers

Answer:

He had to pay $28.57 seven times.

x - 9 = 21

What does x =

Answers

Answer:

x=30

Step-by-step explanation:

You have to isolate for x. This means you need to somehow get x on one side of the equation all alone. In this case it is x-9=21 which means some unknown number x with 9 subtracted from it is equal to 21. When we bring the -9 over to the other side to get the x all alone, we have to switch the sign of the -9 so it becomes +9. This means x=21+9, and if you add that you'll get 30!

a recipe calls for 5/8 cup of sugar for every 5 teaspoons of vanilla. what is the unit rate in cups per teaspoon?

a) 3 1/8
b) 1/8
c) 8
d) 8/25

Answers

Answer:

b) 1/8

Step-by-step explanation:

5/8 ÷ 5 = 1/8

The unit rate in cups per teaspoon is 1/8 cup of sugar.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

5/8 cup of sugar=5 teaspoons of vanilla.

or, 5 teaspoons of vanilla = 5/8 cup of sugar

So, 1  teaspoon of vanilla = (5/8)/5 cup of sugar

(5/8)/5 = (5/8)*(1/5)

(5/8)/5 =1/8

So, 1 teaspoon of vanilla = 1/8 cup of sugar

Hence, the unit rate in cups per teaspoon is 1/8 cup of sugar.

To get more about unitary methods visit:

https://brainly.com/question/24587372

Figure A is a scale image of Figure B.

Answers

Answer:

x = 5.4

Step-by-step explanation:

Corresponding sides are in proportion, that is

[tex]\frac{x}{7.2}[/tex] = [tex]\frac{3}{4}[/tex] ( cross- multiply )

4x = 21.6 ( divide both sides by 4 )

x = 5.4

Find x. Help.............

Answers

Answer:

X =33

Step-by-step explanation:

6x-18=180

6x = 198

X = 33

what is a triangle with a 90 degree angle

Answers

Step-by-step explanation:

It's a right angled triangle.

What is the distance between the points round to the nearest tenth if necessary (-7,-4) (4,5)

Answers

Answer:

-3 and 1

Step-by-step explanation:

-3 and 1 hope this helps!!

Alejandra plans to sew fringe on a scarf. The scarf is shaped like a rectangle. The length of the scarf is 44 inches. The width is one half the length.

Answers

Answer:

Total fringe needed = 132 inches

Step-by-step explanation:

P.S - The exact question is -

Given - Alejandra plans to sew fringe on a scarf. The scarf is shaped like a rectangle. The length of the scarf is 44 inches. The width is one half the length.

To find - How much fringe does Alejandra need?

Proof -

Total fringe needed = Perimeter of the rectangle.

Now,

We know that,

Perimeter of the Rectangle = 2(Length + Width)

Now,

Given that,

Length = 44 inches

Width = one half the length

          = [tex]\frac{1}{2}[/tex] × 44 = 22 inches

⇒Width = 22 inches

∴ we get

Perimeter of the Rectangle = 2(44 + 22)

                                             = 2(66) = 132 inches

⇒Perimeter of Rectangle = 132 inches

∴ we get

Total fringe needed = Perimeter of the rectangle = 132 inches

⇒Total fringe needed = 132 inches

Solve the equation 18+a= -5

Answers

Answer:

The answer is -23

Step

the answer is a = -23

Which shows the numbers in order from greatest to least? A. 13 456 43 165 14 653 B. 13 456 14 653 43 165 (C.) 43 165 14 653 13 456 D. 43 165 13 456 14 653

Answers

Answer:

(C.) 43 165; 14 653; 13 456

Step-by-step explanation:

The numbers:

13, 456

43,165

14, 653

Arranging in order from greatest to least:

43,165; 14,653; 13,456

Option C is the correct answer

A. 13 456 43 165 14 653

B. 13 456 14 653 43 165

(C.) 43 165 14 653 13 456

D. 43 165 13 456 14 653

Denine sees a 2.8-kilo block of cheese.

If there are 2.2 pounds in 1 kilogram (kilo), what is the weight of the block of cheese in pounds?

Answers

Answer:

1.27

Step-by-step explanation:

PLZ HELP WITH MATH!!!

Answers

Answer:

128 in.^2?

Step-by-step explanation:

a rectangle is also a parallelogram, so find the area of the rectangles.

if it is a 30-60-90 triangle, 8 inches is x, and to find the sides, it is either (x)sqrt(3), or in this case, 2x, so 16x8= 128?

Find the volume of each figure. Round your answers to the nearest hundredth, if necessary

Answers

Answer:

666.67π .ft^3

here's your solution

=> radius of cone = 10 ft

=> height of cone = 20 ft

=> volume of cone = πr^2h/3

=> putting the value of radius and height

=> volume = 10^2*20/3π

=> volume = 666.67π .ft^3

hope it helps

Complete the equation of the line through (3, -1) and (4, 7)

Answers

Answer:

y=8x-25

Step-by-step explanation:

first i find the slope which is 8 thennnnn

i substituted the x and y values and solved

then i just pieced it all together

What is the distance between points (4,214) ( 4 , 2 1 4 ) and (4,712) ( 4 , 7 1 2 ) on a coordinate grid?

Answers

Answer:

5 1/4 units

Step-by-step explanation:

-14x=168
Solve for x. Show your work

Answers

Answer:

The value of x = -12

Step-by-step explanation:

Given:

Equation;

-14x=168

Find:

The value of x

Computation:

-14x = 168

Divided -14 from both side

-14x / 14 = 168 / 14

- x = 12

The value of x = -12

question 9 working out plzzz

Answers

One central on a 1:50 000

Answer:

Here is the answer key!

https://2fv5d843v9w22sxtto1ibxtu-wpengine.netdna-ssl.com/wp-content/uploads/2015/12/Ratio-H-Speed-Distance-Time-Rates-of-Change-v2-SOLUTIONS.pdf

Step-by-step explanation:

Enter non-integer answer as a decimal.

**Notice, it is going to hit right at the point (8,175) where the arrow touches**

Answers

Answer:

Step-by-step explanation:

mi/gal=175/8, as a decimal

21.875 mi/gal

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