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 value of variable x.​

Answers

Answer:

9.5

Step-by-step explanation:

[tex]\frac{x}{19} = sin 30^o\\\implies \frac{x}{19} = 0.5\\\implies x = 19 * 0.5\\\implies x = 9.5[/tex]

Please help I’m struggling

Answers

ANSWERS:
m=4

m=18

j=38

n=5

hope this helps!


a) What is the mean?
b) What is the median?
c) What is the mode?

Answers

Mean is 4
Median is 3
Mode is 3

The blinker on Brendan's Bugatti blinks 12 times every 48 seconds. How many times will the blinker blink in 24 seconds? answer ASAP thanks you.

Answers

Answer:

6

Step-by-step explanation:

Darrens garden is 4 4/6 feet long. Zanique’s garden is 2 1/3 shorter. Find the length of Zanique’s garden.

Answers

4 - 2 = 2

If you take 3 and add 3, you get 6, and if you take 1 and add 1 you get 2, so 2/6.

4/6 - 2/6 = 0.33333333333

So I'd say about 2.3333333333 is the length of Zanique's garden, in a fraction... um... 233333333333/10000000000

That's all I could come up with. Don't judge me

125 is what percent of 200?


write as an equation pls

Answers

Answer:

160%

Step-by-step explanation:

Let the missing percentage be x%

We can also write that as x/100

According to the question,

[tex]125 \times \frac{x}{100} = 200 \\ 125x = 200 \times 100 \\ 125x = 20000 \\ x = \frac{20000}{125} \\ x = 160[/tex]

Please hurry! This is due soon.

Answers

Hi!

We can see here that this is a composition question.

And since the composition of g of f of x is x, we can conclude that g(x) is the inverse of f(x) (if you're confused, search up the definition of an inverse function).

To find an inverse function, we can take the f(x) function and change the positions of the x and y variables.

[tex]f(x)=\frac{e^7^x+\sqrt{3}}{2}[/tex]

[tex]y=\frac{e^7^x+\sqrt{3}}{2}[/tex]

[tex]x=\frac{e^7^y+\sqrt{3}}{2}[/tex]

[tex]2x=e^7^y+\sqrt{3}[/tex]

[tex]e^7^y=2x-\sqrt{3}[/tex]

[tex]7y=ln(2x-\sqrt{3})[/tex]

[tex]y=\frac{ln(2x-\sqrt{3})}{7}[/tex]

Which is answer choice A, to check your work, you can solve the composition of g(f(x)), which will get you x.

[tex]g(f(x))[/tex]

[tex]g(\frac{e^7^x+\sqrt{3}}{2})[/tex]

[tex]\frac{ln(2(\frac{e^7^x+\sqrt{3}}{2})-\sqrt{3}}{7}[/tex]

2s cancel.

[tex]\frac{ln(e^7^x+\sqrt{3})-\sqrt{3}}{7}[/tex]

The natural log and e cancel.

[tex]\frac{7x+\sqrt{3}-\sqrt{3}}{7}[/tex]

[tex]\sqrt{3}[/tex]s cancel.

[tex]\frac{7x}{7}[/tex]

7s cancel.

[tex]x[/tex]

Hope this helps!

6+6+75millllllliioooon

Answers

Answer:

75,000,012

Step-by-step explanation:

enjoy, i guess

Solve x2 – 18 = 3x by using the Quadratic Formula.

Answers

Answer:

(x+3)(x-6)

Step-by-step explanation:

use photomath

Write an equation to show how many times greater the value of a 5 in the tens place is than a 5 in the tenths place

Answers

5x10 is tens place and 5x.1 is tenths place if i that helps :]

What is the distance between points (5,2) and (1,-3) on the coordinate plane?

Answers

Answer:

6.403124

Step-by-step explanation:

heeeeeeeellllpppp wiilll ggiivvee bbrraaiinnlliieesstt

Answers

Answer:

c

Step-by-step explanation:

i’m pretty sure the answer is c :)

ASAP THIS NEEDS TO BE DOEN IN MY LIVE CLASS CRIES

Answers

Answer:

2

Step-by-step explanation:

its hard to type

Please help me solve.
x^2-11x+19= -5

Answers

Answer:

x = 3 or x = 8

Step-by-step explanation:

X^2-11x+19=-5
So at first this is a quadratic equation
So h have to make that the equation equal 0 so X^2-11x+19=-5
+5 to other side

X^2-11x+19+5=0
X^2-11x+24=0
Open to bracket
Solve by factorizing
(X-8) (x-3)
So x = 8 or x=3


Given two strings, each extending from a different focus to a common point on an ellipse, what is the relationship
between the two points?
A. They are collinear.
B. They have the same slope.
C. The sum of their lengths is equal to the length of the major axis.
D. The difference of their lengths is equal to the length of the minor axis.

Answers

Answer:

It's C

Step-by-step explanation:

Got it correct on Edge

The number of 5p, 10p, and
20p coins in a jar are in the
ratio 7:4:3. If there are
5p coins are worth 70p
calculate the total value of
the money in the jar.

Answers

Answer:

Step-by-step explanation:

70p/5=14

14*4=56*10=560p

14*3=42*20=840p

840+560+70=1470

=1470p or (£14.70)

The total value of money in the jar is 270p.

What is addition?

Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.

Given:

The number of 5p, 10p, and 20p coins in a jar are in the ratio 7:4:3.

That means,

Number of 5p coins are 5x, 10p coins are 4x and 20p coins are 3x.

And 5p coins are worth 70p.

That means, x = 70p/5p

x = 14

So,

The total worth of coins are,

= 70p + 80p + 120p

= 270p

Therefore, the worth of the coins are 270p.

To learn more about the addition;

brainly.com/question/29464370

#SPJ2

PLEADE HELP QUICK WILL MARK BRAINLIEST!!! ITS SIMPLFT IF UR GOOD AT THAT PLESEE HELP

Answers

Answer:

1) a8

2) 6^5

3) 7^2 b^8

4) 30k^6 h^8

5) y^9/3x^2

please help i’ll give brainliest if you help thanks

Answers

4b.



This is the answer

the figure repersents a water trough in the shape of a rectangular prism. the dimenions of a water trough are givin in feet. ​

Answers

Answer:

What do you need, volume?

Step-by-step explanation:

(2.5)×(4)×(7)=V

Which is the same function as -5x -4=y?

1.f(x)=-5-4
2.f(-4)=-5x
3.f(-5x)=-4
4.f(x)=-5x-4

Answers

4 all u have to do is change y to f(x)

If ΔABC ≅ ΔDEF, find the measure of ∠B.

Answers

Answer:

I believe it is 67 degrees

Step-by-step explanation:

Since all the angles in a triangle add up to 180 degrees, you can subtract 78 and 35 from 180 to get 67.

Can someone help?

Solve the following equation for all values of x. Be sure to check for extraneous roots.

Answers

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

First, let's multiply both sides by [tex]\sqrt{x+11}[/tex]. If we do this, we would have:

[tex]x-1=\frac{1}{\sqrt{x+11}}\cdot\sqrt{x+11}[/tex]

The [tex]\sqrt{x+11}[/tex] would cancel out and we would be left with:

[tex]x-1=1[/tex]

If we add 1 on both sides, we would get:

[tex]x=2[/tex]

Hope this helps!!!

please help on both!! will give brainliest.​

Answers

Answer:

6) a) y = −7/2 x , b) y = −1/2 x , c) y = −5/4 x , d) y = −17/10 x

Step-by-step explanation:

For question 5 it needs to have the input and output values or having a domain and range value. So it can't be solved.

(there's an error in this question)

As for question 6,

a) with coordinate (x,y) = (-2,7)

1. To find the equation of a line or gradient,

first find the slope via the formula: -> m = (y2-y1/x2-x1)

If we let (0,0) ➡️ (x1,y1) and

(-2,7) ➡️ (x2,y2) then,

m = (7-0/-2-0) = -7/2 ⬅️ This is the slope of the line/gradient

Now that we have found the slope we can find the equation via the point-slope formula:

(y−y1) = m(x−x1) ;

2. Substituting the slope = -7/2 for

m and any of the two coordinates given. I will use (0,0) be make things easier. We let (0,0) → (x1,y1)

Thus,

y−0 = −7/2 (x-0)

If we simplify this, we simply get

y = −7/2 x ← This is our equation for coordinate (-2,7)

b) with coordinate (x,y) = (2,-1)

1. To find the equation of a line or gradient,

first find the slope via the formula: -> m = (y2-y1/x2-x1)

If we let (0,0) ➡️ (x1,y1) and

(2,-1) ➡️ (x2,y2) then,

m = (-1-0/2-0) = -1/2 ⬅️ This is the slope of the line/gradient

Now that we have found the slope we can find the equation via the point-slope formula:

(y−y1) = m(x−x1) ;

2. Substituting the slope = -1/2 for

m and any of the two coordinates given. I will use (0,0) be make things easier. We let (0,0) → (x1,y1)

Thus,

y−0 = −1/2 (x-0)

If we simplify this, we simply get

y = −1/2 x ← This is our equation for coordinate (2,-1)

c) with coordinate (x,y) = (4,-5)

1. To find the equation of a line or gradient,

first find the slope via the formula: -> m = (y2-y1/x2-x1)

If we let (0,0) ➡️ (x1,y1) and

(2,-1) ➡️ (x2,y2) then,

m = (-5-0/4-0) = -5/4 ⬅️ This is the slope of the line/gradient

Now that we have found the slope we can find the equation via the point-slope formula:

(y−y1) = m(x−x1) ;

2. Substituting the slope = -5/4 for

m and any of the two coordinates given. I will use (0,0) be make things easier. We let (0,0) → (x1,y1)

Thus,

y−0 = −5/4 (x-0)

If we simplify this, we simply get

y = −5/4 x ← This is our equation for coordinate (4,-5)

d) with coordinate (x,y) = (10,-17)

1. To find the equation of a line or gradient,

first find the slope via the formula: -> m = (y2-y1/x2-x1)

If we let (0,0) ➡️ (x1,y1) and

(2,-1) ➡️ (x2,y2) then,

m = (-17-0/10-0) = -17/10 ⬅️ This is the slope of the line/gradient

Now that we have found the slope we can find the equation via the point-slope formula:

(y−y1) = m(x−x1) ;

2. Substituting the slope = -17/10 for

m and any of the two coordinates given. I will use (0,0) be make things easier. We let (0,0) → (x1,y1)

Thus,

y−0 = −17/10 (x-0)

If we simplify this, we simply get

y = −17/10 x ← This is our equation for coordinate (10,-17)

ANSWER FOR BRAINLEST (BEST TO EXPLAIN WILL GET IT)

Answers

Answer:

-7g+13

Step-by-step explanation:

b) because combining like terms results in:

g-8g=7g

and

15-2= 13

Talia has a square bedroom. Her family is moving and her bedroom in her new apartment will be 3 feet shorter in one direction and 5 feet longer in the other direction. Write an expression that represents the two binomials you would multiply together to find the area of Talia's new bedroom.

2nd Part
If Talia's old bedroom measured 10 feet by 10 feet, how much larger or smaller will her new bedroom be?

Answers

Answer (x represents the first direction and the y represents the second direction):

(x - 3) × (y + 5)New bedroom: 7 ft × 15 ft. Her new bedroom is 5 sq. ft larger than her old bedroom

I hope this helps!

Find the Volume (nearest integer):*

Answers

Answer:

the correct answer is 4) 1692

Can someone pls help me

Answers

Answer:34 1/2 cubes can fit

   

Step-by-step explanation: multiply all of them by 2

Unfortunately, the road from Fordyce and Sheridan is closed due to dangerous road conditions caused by the recent bad weather. Find the shortest route between each pair of towns

Answers

Answer:

a) Malvern - Sheridan - Pine Bluff

b) Camden - Fordyce - Pine Bluff

c) Benton - Malvern - Sharidan - Arkadepia

d) Benton - Malvern - Sharidan - Arkadepia - Gurden - Camden - Fordyce

e) Benton - Malvern - Sharidan - Arkadepia - Gurden - Camden

Step-by-step explanation:

P.S - The exact question is -

Given - According to a map of Arkansas, a number of good roads connect

some of the towns south of Little Rock. The road between

Malvern and Benton is 23 miles long, and between Benton and Pine

Bluff is 62 miles long. The road between Malvern and Sheridan is

28 miles long, and then from Sheridan to Pine Bluff is 22 miles

long. Arkadelphia is connected to two towns: it is 12 miles from

Gurden and 21 miles from Sheridan. Fordyce has three roads to

these towns: 45 miles to Pine Bluff, 39 miles to Sheridan, and 27

miles to Camden. The road from Gurden to Camden is 38 miles.

To find - Unfortunately, the road from Fordyce to Sheridan is closed due to

dangerous road conditions caused by the recent bad weather. Find

the shortest route between each pair of towns:

a) Malvern and Pine Bluff

b) Camden and Pine Bluff

c) Benton and Arkadelphia

d) Fordyce and Malvern

e) Benton and Camden

Proof -

The figure is as follows :

a)

Shortest route between Malvern and Pine Bluff :

Firstly, put all the vertices to  ∞

Start from Malvern ,

Check the shortest distance from the corresponding vertices of Malvern.

Shortest Distance = min { Malvern - Benton, Malvern -Sheridan }

                              = min { 23, 28 } = 23

⇒Shortest distance is 23 ( Malvern -Benton )

Now,

Check shortest distance from Benton and Malvern

Shortest Distance = min { Benton - Pine Bluff, Malvern -Sheridan }

                              = min { 62, 28 } = 28

⇒Shortest distance is 28 ( Malvern -Sheridan )

Now,

Check shortest distance from Benton and Sheridan

Shortest Distance = min { Benton - Pine Bluff, Sheridan - Pine-Bluff}

                              = min { 85, 50 } = 50

⇒Shortest distance is 50 ( Sheridan - Pine-Bluff )

So,

By back tracking , we get

Shortest Route be -

Malvern - Sheridan - Pine Bluff

And the Shortest distance be = 50 miles

b)

Shortest Route between Camden and Pine Bluff

From Camden -

Shortest Distance = min {Camden-Fordyce, Camden-Gurden }

                              = min { 27, 38 } = 27

⇒Shortest Distance = 27 (Camden-Fordyce )

Now,

Check Shortest distance from Camden and Fordyce

Shortest Distance = min { Camden-Gurden, Fordyce-Pine Bluff }

                              = min { 38, 72 } = 38

⇒Shortest Distance = 38 ( Camden-Gurden )

Now,

Check Shortest Distance from Gurden and Fordyce

Shortest Distance = min { Gurden-Arkadepia, Fordyce-Pine Bluff }

                              = min { 50, 72 } = 50

⇒Shortest Distance = 50 ( Gurden-Arkadepia )

Now,

Check Shortest Distance from Arkadepia and Fordyce

Shortest Distance = min { Arkadepia - Sharidan, Fordyce-Pine Bluff }

                              = min { 71, 72 } = 71

⇒Shortest Distance = 71 ( Arkadepia - Sharidan )

Now,

Check Shortest Distance from Sharidan and Fordyce

Shortest Distance = min { Sharidan - Pine Bluff , Fordyce-Pine Bluff }

                              = min { 93, 72 } = 72

⇒Shortest Distance = 72 ( Fordyce-Pine Bluff )

So, By Back tracking , we get

Shortest route be

Camden - Fordyce - Pine Bluff

Shortest Distance be 72 miles

c)

Shortest route between  Benton and Arkadelphia

By applying the same method ,

If we start from Benton and by using Pine bluff lane, distance be 62 + 45 + 27 + 38 + 12 = 184 miles

And

If we start from Benton and by using Malvern lane, distance be 23 + 28 + 21 = 72 miles

So,

Shortest Route be -

Benton - Malvern - Sharidan - Arkadepia

Shortest distance be 72 miles

d)

Shortest route between  Fordyce and Malvern

By applying the same method ,

If we start from Malvern and by using Benton lane, distance be 23 + 62 + 45 = 130 miles

And

If we start from Malvern and by using Sharidan lane, distance be 28 + 21 + 12 + 38 + 27 = 126 miles

So,

Shortest Route be -

Benton - Malvern - Sharidan - Arkadepia - Gurden - Camden - Fordyce

Shortest distance be 126 miles

e)

Shortest route between Benton and Camden

By applying the same method ,

If we start from Benton and by using Pine Bluff lane, distance be 62 + 45 + 27 = 134 miles

And

If we start from Benton and by using Malvern lane, distance be 23 + 28 + 21 + 12 + 38 = 122 miles

So,

Shortest Route be -

Benton - Malvern - Sharidan - Arkadepia - Gurden - Camden

Shortest distance be 122 miles






Which expression is equivalent to 8x-12y+32?

Answers

Answer:

i had the same question, it's "C"

Step-by-step explanation:

Answer:16(0.5x-0.75y+2)

Step-by-step explanation:

What is the volume of the composite object below?

Answers

Answer:

216 cubic inches

Step-by-step explanation:

(9)(3)(3)=81

(3)(3)(9)=81

(3)(3)(6)=54

81+81+54=216

So, it's 216 cubic inches in volume.

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