The force, F newtons, exerted by a magnet on a metal object is inversely
proportional to the square of the distance d cm.
When d = 2 cm, F= 50 N.
Express F in terms of d.

Answers

Answer 1

Answer:

F = 200/d^2

Step-by-step explanation:

F is inversely proportional to d^2

The equation is;

F = k/d^2

K = F•d^2

so to get k, we substitute the given values

K = 50 * 2^2

K = 50 * 4

K = 200

So we have that;

F * d^2 = 200

F = 200/d^2


Related Questions

plz help me find answer. what are the coordinates of slope when y= x/1–x² when dy/dx=1​

Answers

Step-by-step explanation:

dy/dx

= d/dx [x / (1 - x²)]

= [(1 - x²)(1) - (x)(-2x)] / (1 - x²)²

= (1 + x²) / (1 - x²)².

When dy/dx = 1, (1 + x²) / (1 - x²)² = 1.

=> 1 + x² = 1 - x²

=> 2x² = 0, x = 0.

Also when x = 0, y = (0) / [1 - (0)²] = 0.

Hence the coodinates is (0, 0).

Pls help and show workings
Thank you in advance
Option
A. 7
B. 10
C. 13
D. 22

Answers

Answer:

D

Step-by-step explanation:

rule: sum of two angles in triangle, should always be higher then the other angle: 13+9=22,

it should be bellow 22. it can not be D

I need help it’s urgent please I would really appreciate it

Answers

Answer:

The entire race is 26.20 miles long.

Step-by-step explanation:

Given that:

Sam is 18.34 miles in the race.

This length represents the 70% of the entire length of the race.

Let,

x be the total length of the race.

70% of x = 18.34

[tex]\frac{70}{100}x=18.34\\[/tex]

0.7x = 18.34

Dividing both sides by 0.7

[tex]\frac{0.7x}{0.7}=\frac{18.34}{0.7}\\x=26.20[/tex]

Hence,

The entire race is 26.20 miles long.

what is the slope of the line that passes through the pair of points. (1,7) , (10 ,1)​

Answers

Answer:

-6/9 = -2/3 (C)

Step-by-step explanation:

Help it is due ASAP....

Answers

Answer:

c

Step-by-step explanation:

Answer: ∠4 and ∠5

Step-by-step explanation:

Those angles are alternate.

Sorry I took long btw, my mom called me and I forgot bout this. TnT

Hope I helped tho!

There is $500 in Holly's bank account. She takes out $50 from her account each month but doesn't put money back in. What is the slope/rate? *

Answers

Answer:

The rate of change or slope m  = -50

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

m is the rate of change or slopeb is the y-intercept

Given that there is $500 in Holly's bank account.

Thus, the y-intercept b = 500

It is stated that she takes out $50 from her account each month but doesn't put money back in.

It means the rate of change or slope is decreasing.

Thus, the rate of change or slope m  = -50

EXTRA BONUS!

We can also determine the line equation by substituting m = -50 and b = 500 in the slope-intercept form

[tex]y = mx+b[/tex]

y = -50x + 500

Here:

The slope m = -50

The y-intercept = 500

H varies directly to the cube of c.
When H = 40, C = 2.
(a) Express H in terms of c.

Answers

Answer:

H in terms of c is H = 5c³.

Step-by-step explanation:

Given that:

H = 40 and c = 2

H varies directly to the cube of c.

Which means that,

H ∝ c³

Let,

k be the proportionality constant.

H = kc³

Putting H=40 and c=2

[tex]40=k(2)^3\\40=k(8)\\40=8k\\8k=40[/tex]

Dividing both sides by 8,

[tex]\frac{8k}{8}=\frac{40}{8}\\k=5[/tex]

Now,

H in terms of c.

H = 5c³

Hence,

H in terms of c is H = 5c³.

Emma has 2 2/3 pies. Sam has 1/2 of Emma's amount. How much pie does Sam have

Answers

Answer:

1 and 1/3 pie

Step-by-step explanation:

2 2/3 divide by 1/2= 1 and 1/3

301,251,769 to the nearest ten thousand

Answers

Answer:

301,250,000

I'm pretty sure that's it.

It would be 301,250,000 I think

what are the steps for solving
6x-1=-x+9

Answers

Answer:

x=10/7

Let's solve your equation step-by-step

6x−1=−x+9

Step 1: Add x to both sides

6x−1+x=−x+9+x

7x−1=9

Step 2: Add 1 to both sides

7x−1+1=9+1

7x=10

Step 3: Divide both sides by 7

7x/7=10/7

x=10/7

Answer:

x = 10 / 7

Step-by-step explanation:

6x - 1 = -x + 9

Add 1 to both sides of the equation.

6x - 1 = -x + 9

6x - 1 + 1 = -x + 9 + 1

Simplify

Add the numbers

6x - 1 + 1 = -x + 9 + 1

6x = -x + 9 + 1

Add the numbers

6x = -x + 9 + 1

6x = -x + 10

Add x to both sides of the equation.

6x = -x + 10

6x + x = -x + 10 + x

Simplify

Combine like terms

6x + x = -x + 10 + x

7x = -x + 10 + x

Combine like terms

7x = -x + 10 + x

7x = 10

Divide both sides of the equation by the same term

7x = 10

7x/7 = 10/7

Simplify

Cancel terms that are in both the numerator and denominator.

7x/7 = 10/7

x = 10/7

Solution

x = 10/7

I hope this helps have a great day!!!

Solve the Equation: 2(6b + 1) = 4(b-5)-2 halp me pls, thank you​

Answers

Answer:

B= -3

Step-by-step explanation:

So first distribute what you can

12b+2=4b-20-2

Now combine like terms

12b+2=4b-22

Now subtract 2 on both sides

12b=4b-24

Now subtract 4b on both sides

8b=-24

Now divide 8 on both sides

b= -3

The new club sticker is in the shape of a triangle. It has a height of 8 inches and a base of 10 inches. The area of the club sticker is square inches.

Answers

Answer:

Height (h)=8 in

Base(b)=10in

Area (A) of a triangle = 1/2*b*h

A=8in*10in=80in sqr

Step-by-step explanation:

The sticker is in triangular form so one has to Area of triangle formula: 1/2x base x height

Can snag one help me will mark branliest

Answers

Answer:

20/5

36/2

16/6

10/5

24

Step-by-step explanation:

didnt have the square root on my key board

Human skin has a thickness of about 5 * 10-3 meter. A
grain of sand has a thickness of about 1x 10-3 meter.
About how many grains of sand would it take to match the thickness
of human skin?
Grains of Sand
Human Skin
(1 x 10-3)
(5 x 10-3)
DONE

Answers

Answer:

1.Human skin is thicker than the grain of sand.

2.It will take 5 grains of sand to match the thickness of a humans skin

Step-by-step explanation:

There is some ham in refrigerator. Tyrisha uses 3/4 of a pound to make sandwiches and Jacquel uses 7/8 of a pound to make sandwiches. If there is now 2 1/2 pounds of ham left over, how much ham was there before Tyrisha and Jacquel used some?

Answers

Answer:

I NEED THIS ANSWER TOO...

ANYONE HELP ME

Plllllllllllllllllllllllzzzzzzzzzzzz help me out I’m confused 25 points

Answers

Answer:

-4+(-2)=-6

Step-by-step explanation:

So the arrow goes from -4 to -6 so the end answer is -6 and -4-2 is -6

How would figure out if a equation has one answer,zero answers,or infinite. Like a equation like 3(x+9)=3x+27

Answers

This has infinite solutions because when you multiply 3 by the values in the parentheses they will equal.
3(x+9)=3x+27
3x+27=3x+27

WILL GIVE BRAINLIEST PLEASE ANSWER ASAP

Answers

Answer:

Circle man ez

Step-by-step explanation:

Answer:

Circle

Step-by-step explanation:

There is no way you could cut this where you would get a circle.

The expression -320+15y represents a submarine that began at a depth of 15 feet below sea level and ascended at a rate of feet per minute. What was the depth of the submarine after 15 ​minutes?

Answers

Step-by-step explanation:

Given an expression that represents a submarine that began at a depth of 15 feet below sea level and ascended at a rate of feet per minute is as follows :

-320+15y

We need to find the depth of submarine after 15 ​minutes.

Put y = 15 in the above expression.

-320+15y = -320+15(15)

= -320 + 225

= -95

Hence, the submarine is below sea level at 95 feet.

Divide 3 1/2 divided by 1/2 in simplest form

Answers

I believe the correct answer is 7 :)

Answer:

7

Step-by-step explanation:

For the problem:

3 1

2

÷  

1

2

= ?

Convert any mixed numbers to fractions:

3 1

2

=  

7

2

Division of fractions is equivalent to multiplication by the reciprocal of the second fraction:

7

2

÷  

1

2

=  

7

2

×  

2

1

Once rearranged, multiply all of the numerators by each other. Do the same with the denominators and form a new fraction with these values:

7 × 2

2 × 1

=  

14

2

The Greatest Common Factor (GCF) of 14 and 2 is 2. The result can be simplified by dividing both the numerator and denominator by 2.

14

2

=  

14 ÷ 2

2 ÷ 2

= 7

The result is:

3 1

2

÷  

1

2

= 7

use the gcf and the distributive property to find the sum of 26 + 39

Answers

Answer:= 13

Step-by-step explanation:

Which of the following equations best represents the line of best fit for the data in the scatterplot?

Answers

Answer:

the answer is b bc the line is positive

Step-by-step explanation:

The equation that best represents the line of best fit is -

y = (1/2)x - 1

What is the general equation of a Straight line?

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

We have the line of best fit for the data in the scatterplot.

The line passes through the points -

(0, - 1) and (2, 0).

Then, the slope will be -

m = 1/2

and the [y] - intercept is -1. So the equation that best represents the line of best fit is -

y = (1/2)x - 1

Therefore, the equation that best represents the line of best fit is -

y = (1/2)x - 1

To solve more questions on straight lines, visit the link below-

brainly.com/question/20400984

#SPJ2

Sam plans to double his savings each day. He starts
with $0.03 in his account. How much will be have saved
after 30 days?

Answers

Answer:

$32212254.72

Step-by-step explanation:

Initial value = $0.03Increase rate = 2 times each dayTime = 30 days

Saving amount after 30 days:

$0.03*2^30 = $32212254.72

Which are characteristics of the graph of the function f(x) = (x + 1)2 + 2? Check all that apply

Answers

Answer:

A. the domain is all real numbers. and

B.the y-intercept is 3

Olivia and her three siblings bring a sack lunch to school each day, consisting of a bagel, an apple, a cookie, and a juice box. When Olivia's mom goes grocery shopping, she likes to purchase the same amount of each lunch item so that she can make complete lunches, with no leftover items. However, each item comes in a different sized package, as shown below: Bagels: six in a bag Apples: eight in a bag Cookies: twelve in a box Juice Boxes: nine in a box Find the least number of packages she must purchase in order to have the same amount of each item.

Olivia's mom should purchase how many bags of apples?

Answers

Answer:

72

Step-by-step explanation:

Find the LCM

6=2x3

8=2x2x2

9=3x3

12=2x2x3

LCM=2³x3²

       =72

which of the following is geometric sequence?

Answers

Answer:

Choice C

Step-by-step explanation:

A geometric sequence is usually one that multiply or divide to get to the next number in the sequence. So let's go through them to see which one gets multiplied since all of the choices are increasing.

Choice A:

[tex]1^{+3},4^{+1},5^{+4},9^{+5},14[/tex]

Nope that's not what we're looking for.

Choice B:

[tex]3^{+3},6^{+3},9^{+3},12^{+3},15[/tex]

This would be a perfect arithmetic sequence but not the type of sequence we are looking for.

Choice C:

[tex]6^{*3},18^{*3},54^{*3},162[/tex]

Yes! See how this one is multiplying by 3 and not adding or subtracting.

Choice D:

[tex]3^{+2},5^{+3},8^{+5},13^{+7},21[/tex]

Nope this is not it either.

I NEED THE ANSWER ASAP!!!

Answers

Answer:

I think the answer is J

Step-by-step explanation:

can anyone help with this?

Answers

Answer:

zuzhztxrctwhdvdhsuwjd

There are 31 pink beads and 15 purple beads on Violet's necklace. What is the ratio of the number of beads to the number of pink beads?

Answers

Answer:

The ratio of number of purple beads to the number of pink beads is: 15:31

Step-by-step explanation:

Number of pink beads = 31

Number of Purple beads = 15

We need to find ratio of number of purple beads to the number of pink beads

So, The ratio of number of purple beads to the number of pink beads is:

Number of purple beads : Number of pink beads

15 : 31

Since it cannot be simplified further, So

The ratio of number of purple beads to the number of pink beads is: 15:31

The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, 2,200 people enter the fair and $5,050 is collected. How many children and how many adults attended?

Answers

Given :

The admission fee at a small fair is $1.50 for children and $4.00 for adults.

On a certain day, 2,200 people enter the fair and $5,050 is collected.

To Find :

How many children and how many adults attended.

Solution :

Let, number of children and adults attended are c and a.

So, c + a = 2200      ....1)

Now, fair collected is given by :

1.5c + 4a = 5050     ....2)

Putting value of a from equation 1) to 2), we get :

1.5c + 4( 2200 - c ) = 5050

1.5c - 4c = 5050 - 8800

2.5c = 3750

c = 1500

a = 2200 - 1500

a = 700

Therefore, 1500 children and 700 adults attended the fair.

Other Questions
Look at the image, read, and select the correct sentence that matches the image.Two laughing people with ice cream; man has some ice cream on his nose(girl is holding ice cream too) (file attached) Group of answer choicesYo tiene el helado.T tienes el helado.l tiene la cebolla.Ella tiene las cebollas. If a population size begins to_______rapidly, this can be a signal that extinction is coming. MARKING BRAINLIEST!!!! Which 2 groups of people fled religious persecution in England and came to the New World for religious freedom? *2 points hey can u plz help me. What is the meaning of determine. Thanks 3 (m+6) +7 (m-2)7(6x + 5) - 84(3x + 5) - 13 Help who got a story? What was the result of the conquistadors and Spanish rulers arrangement in Mexico and Peru? a car is running with the velocity of 12 kilometre per hour what will be its velocity after 5 seconds if its acceleration is 2 metre Which language is the most common in Europes business community? What is the molar mass of carbon? I have to get this right !!Select the correctly punctuated sentence. Select one:a. After six hours the bright hot sun became unbearable.b. After six hours, the bright hot sun became unbearable.c. After six hours the bright, hot sun became unbearable.d. After six hours, the bright, hot sun became unbearable. Part 1Observe the image of sodium. List the properties you see.Part 2Observe the image of hydrogen chloride. List the properties you see. HELPPP!!! ASAPPPP!!!!Which is NOT a characteristic of all vertebrates?a well-developed brain protected by a skullan exoskeletonpaired appendagesa backbone I have a square with a side of 5.25 in. There is a circle inside this square that is big enough to touch all four sides. What is the area that is not inside the circle? The annual period by which businesses and governments keep track of and plan for record-keeping, budgeting, revenue-collecting and other financial matters. What is the probability that you flip a penny 4 times and it lands on tails all four times in a row?Group of answer choices1/81/161/41/2 Graph the solutions of the linear inequality 3x + 3y > 6 . what type of Buddhism is popular in the united states?A. Theravada B. VajrayanaC. ZenD. Mahayana explain how science uses fossil evidence to support the theory of evolution