The intensity of illumination at any point from a light source is proportional to the square of the reciprocal of the distance between the point and the light source. Two​ lights, one having an intensity ten times that of the​ other, are 7 m apart. On the line between the two light​ sources, how far from the stronger light is the total illumination​ least?

Answers

Answer 1

Answer:

The intensity of the light is inversely proportional to the square of the distance from the source of light. Therefore, in this situation, where one light source has an intensity ten times that of the​ other, the distance from the stronger light source would be 0.7m before the total illumination​ is the least.

Step-by-step explanation:


Related Questions

A quart and a liter of the same kind of drink are on a shelf and are the same price. Which one should you pick if you are really thirsty?
quart
doesn't matter - they are the same amount
liter

Answers

if you’re really thirsty you should drink a liter

The two-way table shows the number of students in a school who bring their lunch and/or who ride the bus:

Bring Lunch Do Not Bring Lunch Total
Ride Bus 40 35 75
Do Not Ride Bus 55 2 57
Total 95 37 132
How many more bring lunch than ride the bus? (4 points)

Answers

The correct answer is 20

                                                                                             

Answer:

20

Step-by-step explanation:

People who don't ride the bus and bring lunch: 55

People who ride the bus and don't bring lunch: 35

55 - 35 = 20

Hope this helps!


A recipe calls for one egg to serve every four people. It also requires two tbsp of salt for every five eggs used. If you are cooking a
banquet for 300 people, how many tbsp of salt will you need?


a. 7.5 tsp
b. 30 tsp
c. 15 tsp
d. 60 tsp
I
No calculator is allowed on this question.

Answers

Answer:

30

Step-by-step explanation:

300/4=75

75/5=15

15*2=30

Question 20(Multiple Choice Worth 2 points) (01.02 LC) Which number has a 9 that is one tenth the value of the 9 in 296? 195 409 981 1,956 NO LINKS HELP ASAP

Answers

Answer:

409 i would say

Step-by-step explanation:

very sorry is its wrong!!! :(

Answer:

prob d im guessing :^)

Step-by-step explanation:

tell me if i got it right or wrong i will fix if needed

please help me .......

Answers

9514 1404 393

Answer:

  65°

Step-by-step explanation:

Any sort of bisector divides a geometry into two congruent parts. Here, we have an angle bisector that divides the larger (130°) angle into two equal parts. The measure of each of the resulting smaller angles will be 130°/2 = 65°.

  ∠JAE = 65°

Find the measure of angles 1-7

Answers

Answer:

no hablo espanol no mas

Step-by-step explanation:

Please help me I need this due

Answers

C. 18 just had this problem

Giving BRAINLYIST to whoever gets it right! PLEASE HELP!

Answers

Answer:

area = 117 cm²

Step-by-step explanation:

area = 1/2(b1 + b2)h

area = 1/2(17 + 9)(9)

area = 117 cm²

Answer:

A=117

Step-by-step explanation:

:))

A random sample of 60 was taken from a shipment of 12,500 light bulbs. There were 2 defective bulbs in the sample. How many defective bulbs would you expect in the entire shipment?
250
417
2,500
4,167

Answers

Answer:

417

Step-by-step explanation:

trust me

The defective bulbs in the entire shipment can be 417.

What is proportionality?

Proportion is a mathematical comparison between two numbers.  According to proportion, if two sets of given numbers are increasing or decreasing in the same ratio, then the ratios are said to be directly proportional to each other.

Given that, a random sample of 60 was taken from a shipment of 12,500 light bulbs, there were 2 defective bulbs in the sample.

We need to find how many defective bulbs would you expect in the entire shipment,

Let there be x defective bulbs in the sample.

using the concept of proportionality,

2 / 60 = x / 12500

x = 417

Hence, the defective bulbs in the entire shipment can be 417.

Learn more about proportionality, click;

https://brainly.com/question/29126727

#SPJ3

PLEASE HELP I WILL GIVE BRAINLIEST!
Maria needs to reach a window that is eight feet above the ground. When she placed a ladder so that it reached the bottom of the window, the base of the ladder was 6 feet from the house. How long is the ladder?
DIAGRAM:
WORK:
ANSWER:

Answers

Step-by-step explanation:

First you draw the right triangle and plug in everything you already know

Then you do the pythagoreon theorem

The ladder is 10 ft

There are 10 multiple-choice questions on a math quiz. Each question has four answer choices with one correct
answer. Let X represent the number of questions answered correctly for a student who is randomly guessing each
answer choice.
Have the conditions for a binomial setting been met for this scenario?
O No, the order of the questions is unknown.
O Yes, all four conditions in BINS have been met.
O No, the answers are not independent of one another.
O No, we do not know how many quizzes this teacher will give.
Save and Exit
Next
Submit
Mark this and return

Answers

B.) Yes, all four conditions in BINS have been met.

Select all ratios equivalent to 3:2.
2:1
7:16
21:14

Answers

Answer:

Step-by-step explanation:

21 : 14

Both have 7 in common

3 : 2

So Option C 21 : 14 is the correct answer

For the length given below draw a line segment to match. Express the measurement as a equivalent mixed number. 4.8 cm

Answers

Answer:

there's nothing there

Step-by-step explanation:

The solution is, The length of line segment AB is 3.4cm.

What is Line segment?

Line segment is the part of line which have two endpoint and bounded by two distinct end points and it contain every point on the line which is between its endpoint.

here, we have,

The area of octagon is given as 2a^2(1+sqrt{2})

Where a is the side of octagaon.

All lengths of sides of octagon are same.

now, we get,

As, 2a^2(1+sqrt{2}) = 54cm

so, we have,

Then, a^2 = 54/2(1+sqrt{2})

a^2 = 54/4.828

a^2 = 11.19

a = 3.4 cm

Hence, The solution is, The length of line segment AB is 3.4cm.

Learn more about the line segment visit:

brainly.com/question/280216

#SPJ2

complete question;

What is the length of line segment AB, rounded to the

nearest tenth?

3.4 cm

O 4.8 cm

24 cm

0 27 cm


Find the area of the shape shown in the diagram below (dimensions are in ft):

Answers

Answer:

where is the picture???????????

A 95% confidence interval for the slope of the regression line relating the number of grams of carbohydrates and the number of kilocalories per 100-gram sample of various raw foods is given by (2.505,6.696). The confidence interval is based on a random sample of n raw foods. A check of the conditions for inference on the slope shows they are reasonably met. Which of the following is a correct interpretation of the interval?
A. 95% of all such samples of size n will produce a sample slope between 2.505 and 6.696 for the regression line relating grams of carbohydrates and kilocalories per 100- g sample of various raw foods.
B. The probability is 0.95 that the true slope of the regression line relating grams of carbohydrates and kilocalories per 100-g sample of various raw foods is between 2.505 and 6.696.
C. We are 95% confident that the slope of the regression line for the random sample of n raw foods is between 2.505 and 6.696.
D We are 95% confident that the predicted number of kilocalories per 100-g sample will be between 2.505 and 6.696.
E. We are 95% confident that the true slope of the regression line relating grams of carbohydrates and kilocalories per 100-g sample of various raw foods is between 2.505 and 6.696.

Answers

Answer: E. We are 95% confident that the true slope of the regression line relating grams of carbohydrates and kilocalories per 100-g sample of various raw foods is between 2.505 and 6.696.

Step-by-step explanation:

The interpretation of a 95% confidence interval: A person can be 95% confident that the true population parameter lies in it.

Given: A 95% confidence interval for the slope of the regression line relating the number of grams of carbohydrates and the number of kilocalories per 100-gram sample of various raw foods is given by (2.505,6.696).

Interpretation: We are 95% confident that the true slope of the regression line relating grams of carbohydrates and kilocalories per 100-g sample of various raw foods is between 2.505 and 6.696.

Correct option: E

Please help will give brainliest

Answers

Answer:

angle a+angle b+angle c=180°

90°+38°+angle c=180°

128°+angle c=180°

angle c=180°-128°

angle c =52°

52°+n°=180°

n=180°-52

n=128°

I’m dead for not knowing this

Answers

The correct answer is A: -2 + 2 = 0

The Thompson family is buying a car that can travel 70 miles

Answers

Answer:

The car gets 35 miles per gallons.

Step-by-step explanation:

Piper is going to invest $74,000 and leave it in an account for 11 years. Assuming the
interest is compounded continuously, what interest rate, to the nearest hundredth of
a percent, would be required in order for Piper to end up with $108,000?

Answers

108000= 74000e^r11
Divide both sides by 74000
1.45946=e^11r
Ln1.45946=11r
.37807=11r
Divide by 11
.03437
3.44%.

find the slope based on the date below
x: -4, 0, 4 8
y: 3, 8 13 18
HELPPP QUICKK PLZZ

Answers

Answer:

The slope is [tex]\frac{5}{4}[/tex]

Step-by-step explanation:

Slope of a dataset:

The slope of a dataset, having two points, is given by the change in y values divided by the change in x values

In this question:

Two points:

x = 0, y = 8

X = 4, y = 13

The slope is:

[tex]m = \frac{13 - 8}{4 - 0} = \frac{5}{4}[/tex]

The slope is [tex]\frac{5}{4}[/tex]

Diane scored 356.789 points Jeff scored 190.499 points how many more points did Diane score than Jeff

Answers

Answer: 166.29

Step-by-step explanation:

Answer:

It's 166.29

Diane score 166.29 more than jeff

Step-by-step explanation:

 356.789

- 190.499  

= 166.29

Janice and Emily are selling raffle tickets. So far they have sold 42 tickets, which is 12% of what they're trying to sell. How many tickets total are they trying to sell?

Answers

Answer:

350 tickets

Step-by-step explanation:

if you do 42/350, it would equal 12%, so 350 is the total

Is (4,3) (2,1) endpoints of a vertical line, a horizontal line, or neither?

Answers

Answer:

neither

Step-by-step explanation:

is a diagonal line

Victor wants to buy fertilizer for his yard. The yard measure 55 feet by 60 feet the direction on the bag
of fertilizer say that one bag will cover 1,230 sq ft.
How many bags of fertilizer should Victor buy to be sure that he covers the entire yard?
Victor should buy
bags of fertilizer.

Answers

Answer:

3 bags

Step-by-step explanation:

55 x 60 = 3300 ft²

3300/1230 = 2.68 bags

Hector puts together two tables to make a long table for a class picnic.
One table is 7 feet 7 inches long. The other table is 6 feet 9 inches long.
What is the total length of the two tables?

Answers

Answer: 14 feet 4 inches

Step-by-step explanation:

Given: The length of the first table = 7 feet 7 inches

The length of the second table = 6 feet 9 inches

The total length of two tables = 7 feet 7 inches + 6 feet 9 inches

= (7+6) feet (7+9) inches

=13 feet 16 inches

Since 1 feet = 12 inches

The total length of two tables = 13 feet+ (12 inches +4 inches)

=13 feet +( 1 feet +4 inches)

= 14 feet 4 inches

Hence, the total length of the two tables =  14 feet 4 inches

Evaluate the expression.
-2.035 – 1.008 - 3.04 + 0.008

Answers

Answer:

-6.075

Step-by-step explanation:

simple addition/subtraction

we multiply all the terms by "-1"

we add the first three terms then subtract the last from it

Tricia made a 55% on her science test. If she got 11 problems correct, how many questions were on the test?

Answers

Answer:

20 questions

Step-by-step explanation:

20 · 0.55 = 11

henry is 70 inches tall Aaron is 6feey 2inches tall how much taller is Aaron than Henry

Answers

Answer:

4 inches taller

Step-by-step explanation:

aaron is 74 inches

Keenan scored 80 points on an exam that had a mean score of 77 points and a standard deviation of 4.9 points. Rachel scored 78 points on an exam that had a mean score of 75 points and a standard deviation of 3.7 points. Find Keenan's and Rachel’s z-scores, to the nearest hundredth.

Answers

Answer:

Keenan's z-score was of 0.61.

Rachel's z-score was of 0.81.

Step-by-step explanation:

Z-score:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Keenan scored 80 points on an exam that had a mean score of 77 points and a standard deviation of 4.9 points.

This means that [tex]X = 80, \mu = 77, \sigma = 4.9[/tex]

So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{80 - 77}{4.9}[/tex]

[tex]Z = 0.61[/tex]

Keenan's z-score was of 0.61.

Rachel scored 78 points on an exam that had a mean score of 75 points and a standard deviation of 3.7 points.

This means that [tex]X = 78, \mu = 75, \sigma = 3.7[/tex]. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{75 - 78}{3.7}[/tex]

[tex]Z = 0.81[/tex]

Rachel's z-score was of 0.81.

Colin invests £1500 into a savings account. The bank gives 4% compound interest for the first 3 years and 5% thereafter. How much will Colin have after 4 years to the nearest pound?

Answers

1500(1+0.04)^3 = 1687.30

1687.30(1+0.05) = 1771.67 to the nearest pound: 1772

Other Questions
What is the percent composition of a compound formed when 4.96 g of bromine combines with lithium to form 5.39 g of lithium bromide? What is one of the main reasons why it is important to paraphrase and summarize a reading passage? which of the following is found in the posterior mediastinum? group of answer choices thoracic duct heart right lymphatic duct primary bronchi thymus farnesyl transferase is an enzyme which catalyzes the attachment of a long hydrophobic chain to the ras protein. what do you think is the purpose of this chain and what would be the effect if the enzyme was inhibited? g What is the role of government in supporting entrepreneurs? A change in strategy nearly always entails budget reallocations becauseMultiple Choice new strategic initiatives can be costly or capital intensive. of corresponding changes in the companys organizational structure and budgetary requirements. adopting best practices and pushing for continuous improvement tend to reduce costs and reduce overall resource requirements. units important in the prior strategy but having a lesser role in the new strategy may need downsizing, while units and activities that now have a bigger and more critical strategic role may need more people, new equipment, additional facilities, and above-average increases in their operating budgets. the accompanying policy revisions and compensation incentives tend to require different levels of funding than before. Directions- use the DBQ link to access and analyze the DBQ documents. Analyze the document and answer the following question in the box provided below. Document 1: Based on this excerpt, what are the evils of civilization? How do Vietnamese show respect to elders? Find 375g as a percentage of 15kg. Classify the items according to whether a discriminatory wage differential would exist in a competitive market given that employer discrimination exists. a. A competitive market is guided by the economic self-interest of employers seeking the lowest labor costs and consumers seeking the least-expensive products and services. Which GDP do economists use? Which of the following is true of scenario planning? It is particularly useful for an orginzation attempting to mitigate risks in certain ventures A good is characterized by network economies if it:can be used by more than one person at a time.becomes cheaper to produce as more people buy it.becomes more valuable as more people own it.is widely advertised on television. What is parallel to Y =- 5x 3? What is the ratio of the offspring with white petals to the total number of offspring?. What is the ratio of rms velocities of the molecules of two gases A and B? What is the value of k for which the roots of the equation 3x 2 )+ KX 3 0 are equal? why is it that law enforcement officers are normally not allowed to collect reward money offered for the capture and conviction of criminals? a. accepting a reward would violate principles of promissory estoppel. b. the officers have a preexisting legal duty to apprehend criminals. c. the officers have a preexisting moral duty to apprehend criminals. d. the rewards would unjustly enrich individual officers at the expense of the rest of the force. A narrow beam of light is travelling through a transparent liquid. It meets the surface as shown, atan angle of incidence of 40. The refractive index of the liquid is 1.5.airliquid40What is the angle of refraction as the light enters the air?A 25B 27C 60D 75 justifiable claims that utility cannot override