The centers of two small metal spheres with a charge of 7.4 × 10−8 C are 10 cm from each other. a) What is the electric force between them? b) One of the spheres touches another identical neutral one, what is now the electric force if they are kept at the same distance? The constant in the Coulomb's law expression is k = 9.0 × 109 Nm2C2.

Answers

Answer 1
Georgia Washington was the election compadre
Answer 2

Answer:

answer is 9 in th by form of the good answer is the to k=9.0 10á gd gd


Related Questions

if angle two equals 130 find the measure of angle 6 in the answer is not 130 or 50 wilmart brainiest ​

Answers

Answer:

∠6 = 130°

Step-by-step explanation:

the answer is 130.. because its a corresponding angles

that means corresponding angles are equal

∠2 = ∠6 = 130°

Lauren is running for president of the student government at UTD. The proportion of voters who favor Lauren is 0.8. A simple random sample of 100 voters is taken. What are the expected value, standard deviation, and shape of the sampling distribution of proportion (, respectively?

Answers

Answer:

 [tex]\mu_{x} = 0.8[/tex]

   [tex]\sigma  =  0.095  [/tex]  

  The shape of this sampling distribution is approximately normal

Step-by-step explanation:

From the question we are told that

  The population proportion is [tex]p = 0.8[/tex]

  The sample size is  n = 100

   

Generally the expected value of this sampling distribution is mathematically represented as

          [tex]\mu_{x} = p = 0.8[/tex]

Generally the standard deviation of this sampling distribution is mathematically represented as

    [tex]\sigma  =  \sqrt{ \frac{p(1- p )}{n } } [/tex]

=>  [tex]\sigma  =  \sqrt{ \frac{0.8 (1- 0.8 )}{100 } } [/tex]    

=>  [tex]\sigma  =  0.095  [/tex]      

Generally given that the sample is  large (i.e  n  >  30 ) and the standard deviation is finite then the shape of this sampling distribution is approximately normal

The average customer for a certain utility company pays $120 per month for utilities. The company plans to decrease utility bills by 3% each year for the next five years. Which of the following can be used to determine the total amount an average customer will pay for utilities during the next five years? an arithmetic series a geometric series a series that is neither arithmetic nor geometric a series that is both arithmetic and geometric
an arithmetic series
a geometric series
a series that is neither arithmetic nor geometric
a series that is both arithmetic and geometric

Answers

Answer:

a geometric series

Step-by-step explanation:

Is 1.994 greater or lesser than 1.493

Answers

Answer:

greater than

Step-by-step explanation:

1.994 is closer to 2 than 1.493 so it is greater!

Are these triangles congruent? If so, name the triangle congruence method.

Answers

Answer:

The answer you chose is correct

Step-by-step explanation:

Point B is on line segment AC. Given BC

7 and AC

11, determine the length

AB.

Answers

Answer:

4

Step-by-step explanation:

Since the entire length is 11, and one segment is 7, you'll subtract and end up with the answer 4.

The length of AB if Point B is on the line segment AC, BC = 7 and AC = 11, is 4.

What is a line segment?

A line segment is a measurable route between two points. Line segments can make up any polygon's sides because they have a set length.

Given:

Point B is on the line segment AC, BC = 7 and AC = 11,

Write the expression for the above phrase as shown below,

The length of the AC = The length of AB + the length of BC

11 = 7 + The length of AB

The length of AB = 11 - 7

The length of AB = 4

Thus, The length of AB is 4.

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convert 2 3/7 to an improper fraction​

Answers

Answer:The mixed number 2 3/7 can be converted to the improper fraction 17/7. The easiest way to do this is to multiply the denominator of the fraction (7 in...

Step-by-step explanation:

In one full day, a kudzu vine can grow 15 inches in length. How many inches per hour is this?

Answers

1.66666666667 inches per hour

Answer:

0.625

Step-by-step explanation:

15 divided by 24 which equals 0.625

Of 1000 randomly selected cases of lung cancer, 838 resulted in death within 10 years. Construct a 95% two-sided confidence interval on the death rate from lung cancer. (a) Construct a 95% two-sided confidence interval on the death rate from lung cancer. Round your answers to 3 decimal places. (b) Using the point estimate of p obtained from the preliminary sample, what sample size is needed to be 95% confident that the error in estimating the true value of p is less than 0.03

Answers

Answer:

0.8152 ≤ p ≤ 0.8608

579

Step-by-step explanation:

Given the following :

Samples size n = 1000

Deaths within 10 years, p = 838

α = 95%

Construction a two way confidence interval:

p ± Zα/2 * √p(1-p) / n

point estimate p = 838/n = 838/1000 = 0.838

Z0.05/2 = Z0.025 = 1.96

0.838 - 1.96√0.838(1-0.838) / 1000

0.838 - 1.96*0.0116514 = 0.8152

0.838 + 1.96√0.838(1-0.838) / 1000

0.838 + 1.96*0.0116514 = 0.8608

0.8152 ≤ p ≤ 0.8608

b) Using the point estimate of p obtained from the preliminary sample, what sample size is needed to be 95% confident that the error in estimating the true value of p is less than 0.03

Error (E) = 0.03

To find the samome size, use the relation:

n = (Zα/2 / E)² * p(1-p)

n = (1.96/0.03)² * 0.838(1-0.838)

n = (1.96/0.03)² * 0.838 * 0.162

n = 4268.4444 * 0.838 * 0.162

n = 579.46

n = 579

Consider the following.

P = −0.1s3 + 6s2 + 400.

Required:
a. Find the amount s of advertising (in thousands of dollars) that maximizes the profit P (in thousands of dollars).
b. Find the point of diminishing returns.

Answers

Answer:

A) s = $40 (in thousands of dollars)

B) point of diminishing returns is at;

(20, 2000) in thousands of dollars

Step-by-step explanation:

We are given the profit function as;

P = −0.1s³ + 6s² + 400

A) To maximize the profit, we need to find the first derivative and equate it to zero.

Thus;

dP/ds = -0.3s² + 12s

At dP/ds = 0, we have;

-0.3s² + 12s = 0

0.3s² = 12s

0.3s = 12

s = 12/0.3

s = $40 (in thousands of dollars)

B) To find the point of diminishing returns, we need to find the 2nd derivative of the given profit function and equate to zero.

Thus;

d²P/ds² = -0.6s + 12

At d²P/ds² = 0, we have;

-0.6s + 12 = 0

0.6s = 12

s = 12/0.6

s = 20

At s = 20,

P = −0.1(20)³ + 6(20)² + 400

P = -800 + 2400 + 400

P = 2000

Thus; point of diminishing returns is at;

(20, 2000) in thousands of dollars

The average of the first 3 weights was 14 pounds. The average of the next 7 was 4 pounds. What was the overall average of the weights?

Answers

Answer:

[tex]Average = 10[/tex]

Step-by-step explanation:

Given

[tex]First\ Three = 14[/tex] --- Average

[tex]Next\ Seven= 4[/tex] --- Average

Required

Determine the overall average

Represent the sum of the first three with x.

So:

[tex]\frac{x}{3} = 14[/tex]

Solve for x

[tex]x = 14 * 3[/tex]

[tex]x = 42[/tex]

Represent the sum of the next seven with y.

So:

[tex]\frac{y}{7} = 4[/tex]

Solve for y

[tex]y = 4 * 7[/tex]

[tex]y = 28[/tex]

The overall average is calculated as thus:

[tex]Average = \frac{x + y}{7}[/tex]

[tex]Average = \frac{42 + 28}{7}[/tex]

[tex]Average = \frac{70}{7}[/tex]

[tex]Average = 10[/tex]

Solve each equation.
Show all steps
4) -8(-6-5k)=-232

Answers

the answer is k=4.6. hope this helps

each friend received 5/4 of a pound of berries, how many friends are sharing berries?​

Answers

Answer:

2

Step-by-step explanation:

If 5 friends are sharing the berries, how many pounds of berries does each friend receive? Is the answer to 3/4 divided by 2/5 greater than or less than 1.

Question 3: Determine the missing base in the equation problem below. 75eight = 23 base​

Answers

Answer:

29

Step-by-step explanation:

Given the expression [tex]75_8 = 23_x[/tex] where x is the unknown base:

[tex]75_8 = 23_x\\7\times8^1 +5\times8^0 = 2\times x^1+3 \times x^0\\56+5 = 2x+3\\61 = 2x+3\\2x = 61-3\\2x = 58\\x = 58/2\\x = 29[/tex]

Hence the missing base is 29

Canoe rentals cost $10 plus $4 per hour. A group of friends rent 3 canoes for 3 hours. what is their total cost.

Answers

Answer:

42

Step-by-step explanation:

Answer:

$42

Step-by-step explanation:

$10 * 3 canoes = $30

$4 * 3 hours = $12

30 + 12 = $42

Select all the possible (x,y) coordinates for the following linear equation y=3x+2

Answers

Answer:

x = 2/3

Step-by-step explanation:

To find x-intercept/zero, subtract y = 0

0 = 3x + 2

Move variable to the left-hand side and change its sign

-3 = 2

Divide both ides of the equation by - 3

x = - 2/3

Solution

x = - 2/3

Alternate form

x = - 0.6

Find the slope of the line

Answers

Answer:

0

Step-by-step explanation:

Does the graph represent y as a linear function of x ?

Answers

Answer: yes because without the x the y does not have a corresonding oint

Because of the relatively high interest rates, most consumers attempt to pay off their credit card bills promptly. However, this is not always possible. An analysis of the amount of interest paid monthly by a bank's Visa cardholders reveals that the amount is normally distributed with a mean of 2525 dollars and a standard deviation of 88 dollars. (Round all decimals to at least 3 places.) (a) What proportion of the bank's Visa cardholders pay more than 2828 dollars in interest

Answers

Complete Question

Because of the relatively high interest rates, most consumers attempt to pay off their credit card bills promptly. However, this is not always possible. An analysis of the amount of interest paid monthly by a bank's Visa cardholders reveals that the amount is normally distributed with a mean of 25 dollars and a standard deviation of 8 dollars. (Round all decimals to at least 3 places.) (a) What proportion of the bank's Visa cardholders pay more than 28 dollars in interest

Answer:

0.354

Step-by-step explanation:

We solve for z score in this question.

The formula is given as:

z = (x-μ)/σ, where

x is the raw score = $28

μ is the population mean = $25

σ is the population standard deviation = $8

z= 28 - 25/8

z = 0.375

P-value from Z-Table:

P(x<28) = 0.64617

P(x>28) = 1 - P(x<28)

= 1 - 0.64617

= 0.35383

Approximately to 3 decimal places = 0.354

The proportion of the bank's Visa cardholders pay more than 28 dollars in interest is 0.354.

Which sentence can represent the inequality

Answers

c might be the correct answer try it :)

Use the number line below, where RS=9y+2, ST=2y+6, and RT= 52

Answers

Answer:

Step-by-step explanation:

Given

RS=9y+2, ST=2y+6, and RT= 52

The addition postulate is true for the number line.

RS+ST = RT

Substitute

9y+2+(2y+6) = 52

9y+2y+8 = 52

11y = 52-8

11y = 44

y = 44/11

y = 4

Find RS

RS = 9y+2

RS = 9(4)+2

RS = 36+2

RS = 38

Find ST:

ST = 2y+6

ST = 2(4)+6

ST = 8+6

ST = 14

Hence y = 4, RS = 38 and ST = 14

1 quart= 4cups=1.96, Each cup coat?

Answers

Answer:

Step-by-step explanation:

Sorry but please give detailed question

The coordinates of point T are (0,6). The midpoint of ST is (4.-6). Find the coordinates

point S.

Answers

Answer:

The coordinates of endpoint S are [tex]S(x,y) = (8,-18)[/tex].

Step-by-step explanation:

Let [tex]T(x, y) = (0, 6)[/tex] and [tex]M(x,y) = (4,-6)[/tex], which is the midpoint of line segment ST. From Linear Algebra we get that midpoint is the following vector sum of endpoints S and T. That is:

[tex]M(x,y) = \frac{1}{2}\cdot S(x,y) + \frac{1}{2}\cdot T(x,y)[/tex] (Eq. 1)

Now clear S in the previous expression:

[tex]S(x,y) = 2\cdot M(x,y) - T(x,y)[/tex] (Eq. 1b)

Then, the coordinates of point S are:

[tex]S(x,y) = 2\cdot (4,-6) - (0,6)[/tex]

[tex]S(x,y) = (8, -18)[/tex]

The coordinates of endpoint S are [tex]S(x,y) = (8,-18)[/tex].

please hurry I need this fast

Answers

Bbbnnmmmmnmmmmmmmmmmnngguui

Nine less than five times a number is equal to -30.

Answers

Answer: 5x-30-9

-159

Step-by-step explanation:

-159 is the answer

Suppose x = 5 is a solution to the equation 4x − 3(x + a) = 2. Find the value of a that makes the equation true.
a. -25

b. 2

c. 3

d. 1

Answers

Answer:

[tex]a = 1[/tex]

Step-by-step explanation:

Given

[tex]4x - 3(x + a) = 2[/tex]

[tex]x = 5[/tex]

Required

Determine the value of a

[tex]4x - 3(x + a) = 2[/tex]

Substitute 5 for x

[tex]4(5) - 3(5 + a) = 2[/tex]

Open all brackets

[tex]20 - 15 - 3a = 2[/tex]

[tex]5 - 3a = 2[/tex]

Collect Like Terms

[tex]-3a = 2 - 5[/tex]

[tex]-3a = -3[/tex]

Solve for a

[tex]a = -3/-3[/tex]

[tex]a = 1[/tex]

marcos is making three tile pictures.​

Answers

Answer: 360

Step-by-step explanation:

310 + 50 = 360

Answer:

1710

Step-by-step explanation:

310 x 3 = 930

260 x 3 = 780

930 + 780 = 1710

Find the smallest whole number multiple of 2 that leaves a remainder of 1 when divided by either 3 or 7.

Answers

Answer:

2 times 8 = 16 divided by 3 leaves a remander of 1

Step-by-step explanation:

The smallest whole number is 22.

What is Least Common Multiple?

Least Common Multiple is a mathematical term. The smallest number that is a multiple of both of two numbers is called the least common multiple.

For example, L.C.M of 16 and 20 will be 2 x 2 x 2 x 2 x 5 = 80, where 80 is the smallest common multiple for numbers 16 and 20.

Given:

First find the LCM of 7 and 3 .

LCM = 3 x 7 = 21

So, we will add remainder 1 (as given) to the LCM .

= 21+ 1

= 22

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Please help!!!!!!!! What is the measure of angle 4?

Answers

Answer:

30°

Step-by-step explanation:

<4=<2=30

(vertical opposite angles are equal)

Answer:

30 degrees

Step-by-step explanation:

Since 4 is equal on the other side of 2, it would be congruent, which is the same as 2. So, 30 degrees.

25x 10 ^ 6 in standard form ​

Answers

25x10⁶ = 2.5x10⁷=25000000

#Learn more

-34/51 in standard form​

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