A college conducted a survey of randomly selected freshmen about their choice of major. The table shows the results of the survey. English 50. Science 35. Engineering 40. Business 45. Education 60. Undecided 50. Other 20. Which inference about all freshmen at this collage is best supported by this information?

Answers

Answer 1

Answer:B

Step-by-step explanation:

Answer 2

Answer:b

Step-by-step explanation:


Related Questions

x - y = 3

a. work out the value of 5(x-y)

b. work out the value of 2x - 2y

c. work out the value of y - x
will give brainliest !
Please help it's due at 2:45!!!!!!!!

Answers

Answer:

5 (x-y)=15

2x-2y=6 and

y-x=-3

Step-by-step explanation:

first x-y=3, so you substitute x by y or y by X. anyway I substituted x by y. so x=y+3.

a. 5(x-y)

5[(y+3)-y] (first you substitute x by y+3.)

5 [y+3-y] ( then you remove the bracket.)

5[y-y+3] ( you collect like terms in the bracket.)

5 [3] (-y+y=0) so it means 5×3=15.

b. 2x-2y (like before you substitute x by y+3.)

2 (y+3)-2y

2y+6-2y (then you remove the bracket.)

2y-2y+6 (you collect like terms)

0+6=6. (because 2y-2y=0)

c. y-x

y-(y+3) ( you substitute x by y+3.)

y-y-3 (you remove the bracket)

0-3=-3 (because y-y=0)


Fred's birthday party will be in a room at the community center. The room can hold 75 people. He wants to use tables that seat 5 people each. Which inequality can be used to find the maximum number of tables, t, that Fred can use?

Answers

Answer:

75>5t

Step-by-step explanation:

Here is the information given:

75 is the maximum

5 per table

t is table

So, 75 is greater than or equal to the number of tables.

If 5 is the max seated at a table we know that it will be 5 people per table or 5t

Which gives us 75>5t

Furthermore, when solving we get t=15, when plugging this in the inequality becomes 75>75 which is true.

Hope this helps!

Grayson is a kickboxing instructor who will be teaching classes at a local gym. To get certified as an instructor, he spent a total of $130. Grayson will be earning a base salary of $58 per month from the gym, plus an additional $12 for every class he teaches. If Grayson teaches a certain number of classes during his first month as an instructor, he will earn back the amount he spent on certification. How much will Grayson's expenses and earnings be? How many classes will that take?

Answers

Answer:

If Jeffrey takes 50 classes in his first month as an instructor, he will earn back the amount he spent on certification.

Step-by-step explanation:

A triangle has vertices at A(-2,4), B(-2,8), and C(6,4). If A’ has coordinates of (-0.25,0.5) after the triangle has been dilated with a center of dilation about the origin, which statements are true? Check all that apply

Answers

Answer:

Now we need to find B' and C' by multiplying 0.125 with the x-coordinate and y-coordinate.

-----

x-coordinate of B is -2, y-coordinate of B is 8

x-coordinate of B'

y-coordinate of B'

So

-----

x-coordinate of C is 6 and y-coordinate of C is 4

x-coordinate of C'

y-coordinate of C'

So

Conclusion:

The below are the TRUE statements:

(i) The coordinates of C' are (0.75, 0.5)

(ii) The scale factor is 1/8

(iii) The coordinates of B' are (–0.25, 1).

Read more on Brainly.com - https://brainly.com/question/10679054#readmore

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

i got it correct

What is the length of the altitude of the equilateral triangle below?

Answers

Answer:

D  5sqrt(3)

Step-by-step explanation:

We can use the Pythagorean theorem to solve since the altitude is perpendicular to the base

a^2+b^2 = c^2

5^2 + a^2 = 10^2

25+a^2 = 100

a^2 =100-25

a^2 = 75

Taking the square root of each side

a = sqrt(75)

a = sqrt(25)sqrt(3)

a = 5sqrt(3)

Answer:

Step-by-step explanation:

D

explain how you found the equation that represents aunt andreas decorating plans from the table

Answers

Answer:

Answer: The number of balloons varies directly with the number of tables. The two variables are directly proportional. The relationship of balloons to tables is the ratio 5:1, where 5 is the constant of variation. Use the equation y = kx, where k is the constant of variation resulting in the equation y = 5x.!!!!!!!!!

licze jako najlepsza odpoiedz!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

Answer:

Sample Answer: The number of balloons varies directly with the number of tables. The two variables are directly proportional. The relationship of balloons to tables is the ratio 5:1, where 5 is the constant of variation. Use the equation y = kx, where k is the constant of variation resulting in the equation y = 5x.

Step-by-step explanation:

Prove algebraically that (image). Trigonometric Identities. Please help.

Answers

Answer:

Step-by-step explanation:

A deck of playing cards has four suits, with thirteen cards in each suit consisting of the numbers 2 through 10, a jack, a queen, a king, and an ace. The four suits are hearts, diamonds, spades, and clubs. A hand of five cards will be chosen at random. Which statement is true?

Answers

Answer:

Step-by-step explanation:

Which statements are true? Check all that apply.

The total possible outcomes can be found using 52C5.

The total possible outcomes can be found using 52P5.

The probability of choosing two diamonds and three hearts is 0.089.

The probability of choosing five spades is roughly 0.05

The probability of choosing five clubs is roughly 0.0005.

Since it can be chosen in any order, we use combination and not permutation. The number of ways of choosing 5 cards from a group of 52 cards is 52C5.

The probability of choosing two diamonds and three hearts = [tex]\frac{^{13}C_2*^{13}C_3}{^{52}C_5} = 0.0086[/tex]  so the third one is not true.

The probability of choosing five spades = [tex]\frac{^{13}C_5}{^{52}C_5}[/tex] ≈ 0.0005. The fourth statement is not true

The probability of choosing five clubs  = [tex]\frac{^{13}C_5}{^{52}C_5}[/tex] ≈ 0.0005, the fifth one is.

So the answer is the first and fifth statement.

The probability of selecting a combination of cards is given by the ratio of

the ways of selecting the cards to the number of possible outcomes.

The true statements are;

The total number possible outcomes is  ₅₂C₅.The probability of choosing five clubs is roughly 0.0005.

Reasons:

First statement;

Number of cards in the deck of playing cards = 52

The number of possible outcome is given by the combinations of 5 that can be chosen from 52, as follows;

[tex]\displaystyle The \ \mathbf{number} \ of \ \mathbf{possible \ outcomes}} = _{52}C_5 = \frac{52!}{5! \cdot (52 - 5)!} = 2598960[/tex]

Therefore;

The statement; the total number possible outcomes is  ₅₂C₅ is true

Third statement;

The number of ways of choosing two diamonds is found as follows;

[tex]\displaystyle Choosing \ two \ diamonds = _{13}C_2 = \mathbf{\frac{13!}{2! \cdot (13 - 2)!}} = 78[/tex]

The number of ways of choosing three hearts is found as follows;

[tex]\displaystyle Choosing \ three \ hearts = _{13}C_3 = \frac{13!}{3! \cdot (13 - 3)!} = 286[/tex]

The number of ways of choosing two diamonds and three hearts is found as follows;

[tex]\displaystyle Choosing \ two \ diamonds \ and \ three \ hearts = \frac{_{13}C_2 \times _{13}C_3}{_{52}C_5} = 0.00858[/tex]

Therefore, the number of ways of choosing two diamonds and three hearts ≠ 0.089

[tex]\displaystyle Choosing \ two \ diamonds \ and \ three \ hearts = \mathbf{\frac{_{13}C_2 \times _{13}C_3}{_{52}C_5}} \neq 0.089[/tex]

Fourth  statement;

[tex]\displaystyle Probability \ of \ choosing \ five \ spades = \frac{_{13}C_5 }{_{52}C_5} \approx 0.0005[/tex]

Therefore;

[tex]\displaystyle Probability \ of \ choosing \ five \ spades = \mathbf{\frac{_{13}C_5 }{_{52}C_5}} \neq 0.05[/tex]

Fifth statement;

[tex]\displaystyle Probability \ of \ choosing \ five \ clubs= \frac{_{13}C_5 }{_{52}C_5} \approx 0.0005[/tex]

Therefore;

The statement, the probability of choosing five clubs is roughly 0.0005 is true.

The possible question options in the question are;

The total possible outcomes is given by ₅₂C₅

The total possible outcomes is given by ₅₂P₅

Probability of choosing 3 hearts and 2 diamonds is 0.089

The likelihood of choosing 5 spades is approximately 0.05

The likelihood of choosing 5 clubs is approximately 0.0005

Learn more about combinations and probability here:

https://brainly.com/question/25718474

the graph shows the function f(x)=2^x what is the value of x when f(x)=4

Answers

Answer:

2

Step-by-step explanation:

O model the problem containing an unknown number, translate the statement into an equation. Sixteen is five less than a number. Which steps would you take to translate the statement? Replace "is" with =, "less than" with –, and "a number" with n to get 16 = 5 – n. Replace "is" with =, "less than" with +, and "a number" with n to get 16 = n + 5. Replace "is" with =, "less than" with –, and "a number" with n to get 16 = n – 5. Replace "is" with =, "less than" with ÷, and "a number" with n to get 16 = 5 ÷ n.

Answers

Answer:

Replace "is" with =, "less than" with –, and "a number" with n to get 16 = n – 5

Step-by-step explanation:

Hi, to answer this question we have to analyze the statement given and write an equation:

Sixteen is five less than a number

So, the number sixteen (16) is (=) five less (-5) than a number (n).

We have to subtract 5 to a number (x) and that expression must be equal to 16.

Mathematically speaking:

16= n-5

So, the correct option is:

Replace "is" with =, "less than" with –, and "a number" with n to get 16 = n – 5

Feel free to ask for more if needed or if you did not understand something.  

Answer:

C :)

Step-by-step explanation:

before you go, don't forget to smile:)

Only do question 8

50 points

Topic: Percentage

Answers

Answer:

see below

Step-by-step explanation:

Answer:

...

Step-by-step explanation:

A circle is cut into congruent sections and arranged to form a figure that approximates a parallelogram. Find the approximate height of the figure when its area is 12.25π square centimeters.

Answers

Answer:

The height is 3.43 centimeters, approximately.

Step-by-step explanation:

Notice that there are 16 pieces from the circle, which means each sector has an angle of

[tex]\theta = \frac{360\°}{16}=22.5\°[/tex]

Where all sectors have equal area.

Now, the area of the whole circle is [tex]12.25 \pi \ cm^{2}[/tex], if we use the formula of its area, we'll find the radius of the circle

[tex]A= \pi r^{2}\\ 12.25\pi = \pi r^{2}\\ r=\sqrt{12.25} \approx 3.5[/tex]

Notice that each piece works as an isosceles triangle, because each side is the radius, that is, they have the same length. So far, we know the sides of the isosceles triangle and one internal angle.

To find the height of the one piece, we need to use trigonometric reasons, because the height divides a triangle in two equal right triangles.

[tex]cos(11.25\°)=\frac{h}{3.5}\\ h=3.5 \times cos(11.25 \°)\\h \approx 3.43[/tex]

Therefore, the height is 3.43 centimeters, approximately.

can Julie win if she reads 8 books

Answers

Answer:

Yes, she can.

Step-by-step explanation:

12 < 5+8

Answer:

Step-by-step explanation:

No, she can't

Julie can't win because she has to read more than Emad so she has to read 13 books but she reads 8 books so she can't win

I hope it'll help you much

Thank you for asking

what is char antonym?​

Answers

Answer:

Antonyms. achromatic exhale spiny-finned fish extinguish hypopigmentation. Etymology.

Step-by-step explanation:

none but google

Answer:

If you mean char = a charred substance then you could have cool, extinguish, put out, smother, stifle or subdue.

Step-by-step explanation:

Google... everything's google

Correct answer only please!

To the nearest cent, how much will she have in 5 years?

Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Answers

Answer: 7633.31

Work Shown:

B = p*(1+r)^t

B = 4530*(1+0.11)^5

B = 7,633.313442603 approximately

B = 7633.31                  round to the nearest cent

Aston left his house and ran 4 miles East and then 3 miles north. He then took the diagonal path back home. If he burned 105 calories every mile that he ran, how many total calories did burn on his run

Answers

Answer:

he do be running tho

Answer:

He burned a total of 735 calories.

Step-by-step explanation:

4 miles + 3 miles = 7 miles

105 calories/1 mile = 7 miles/ ? calories

105 calories times 7= 735 calories

What is the product? 2y/y-13 * 4y-12/2y+6

Answers

Answer:

[tex]=\frac{4y}{y+3}[/tex]

Step-by-step explanation:

[tex]\frac{2y}{y-3}\cdot \frac{4y-12}{2y+6}\\\frac{4y-12}{2y+6}=\frac{2\left(y-3\right)}{y+3}\\\frac{4y-12}{2y+6}\\\mathrm{Factor}\:4y-12:\quad 4\left(y-3\right)\\4y-12\\\mathrm{Rewrite\:as}\\=4y-4\cdot \:3\\\mathrm{Factor\:out\:common\:term\:}4\\=4\left(y-3\right)\\=\frac{4\left(y-3\right)}{2y+6}\\\mathrm{Factor}\:2y+6:\quad 2\left(y+3\right)\\2y+6\\\mathrm{Rewrite\:as}\\=2y+2\cdot \:3\\\mathrm{Factor\:out\:common\:term\:}2\\=2\left(y+3\right)\\=\frac{4\left(y-3\right)}{2\left(y+3\right)}[/tex]

[tex]\mathrm{Divide\:the\:numbers:}\:\frac{4}{2}=2\\=\frac{2\left(y-3\right)}{\left(y+3\right)}\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=\frac{2\left(y-3\right)}{y+3}\\=\frac{2y}{y-3}\cdot \frac{2\left(y-3\right)}{y+3}\\\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}\\=\frac{2y\cdot \:2\left(y-3\right)}{\left(y-3\right)\left(y+3\right)}\\\mathrm{Cancel\:the\:common\:factor:}\:y-3\\=\frac{2y\cdot \:2}{y+3}[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:2\cdot \:2=4\\=\frac{4y}{y+3}[/tex]

Answer:

12/6

Step-by-step explanation:

A rectangular prism has a length of 4.5 cm, a width of
10 cm, and a height of 2.5 cm. What is the volume of
the prism?
11.25 cm
17 cm
112.5 cm3
1,125 cm3
2.5 cm
10 cm
4.5 cm

Answers

Answer:112.5

Step-by-step explanation: multiply then all together length then width them height

Answer:

112.5

Step-by-step explanation:

i did the assignment

Find the value of 8 to the 3rd power divided by 8 squared multiplied by 4 squared.

Answers

Answer:

0.5

Step-by-step explanation:

8^3 = 512

(8^2)*(4^2) = 1024

512/1024 = 0.5

When a higher confidence level is used to estimate a proportion and all other factors involved are held constant

Answers

Options :

A) the confidence interval will be wider.

B) the confidence interval will be narrower.

C) there is not enough information to determine the effect on the confidence interval.

D) the confidence interval will be less likely to contain the parameter being estimated.

E) the confidence interval will not be affected.

Answer: A) The confidence interval will be wider

Step-by-step explanation: In statistics, When a higher confidence interval is used to estimate a proportion with other factors being held constant, the confidence interval will be wider. Since the confidence interval is aimed at tweaking the precision of our measurement or estimation, when we adopt a higher confidence level, we are trying g to reduce our chances of being wrong and hence increasing our precision and thus widening the level of confidence in the result obtained. That said, 95% confidence interval is wider than 90%. And 99% is wder than 95%.

The length, l, of a rectangle is 3 inches greater than its width, w. The perimeter of the rectangle is at least 30 inches. Which inequalityshows the range of possible lengths of the rectangle?

Answers

Answer:

l >= 9 and w >= 6

Step-by-step explanation:

The perimeter of the rectangle can be found by:

→ Perimeter = (2 x length) + (2 x width) (1)

Since the length is 3 inches greater than the width:

→ l = w + 3

Also, the perimeter is at least 30 inches

If you substitute the values in the equation 1:

→ (2 x l) + (2 x w) >= 30

→ (2 x (w + 3)) + (2 x w) >= 30

→ 2 x w + 6 + (2 x w) >= 30

→ 4 x w >= 24

→ w >= 6

Since l = w + 3, l >= 9

Miki tosses a coin 50 times, and the coin shows tails 28 times.
What is the experimental probability of Miki getting tails?

Answers

Answer:

28/50, or 56 percent.

Step-by-step explanation:

Divide the number of events (in this case it's tails) by the number of possible outcomes. This means to divide 28 by 50. Your answer will be 0.56. As a percent, this is 56 percent, which is the probability of the coin landing on tails.

To solve for 10t = -30 + 5t, first subtract ?
from both sides.

Answers

Answer:

-6

Step-by-step explanation:

10t = -30 + 5t, Inverse operations

'5t -5t. Subtract 5t from both sides

5t = -30. Divide by 5 both sides

/5. /5

t = -6

Fiona found 47 pens for $3.00 . Please help Fiona by figuring out the ratio. (round to 2 decimal places)

Answers

Answer:

0.06

Step-by-step explanation:

3/47

Answer

$15.67

trust me I think this is it with the info I have got.

info=information true fact

Math lovers i need your help​

Answers

Part (i)

Compute the slope of the line through the two points (0,0) and (4,8)

m = (y2 - y1)/(x2 - x1)

m = (8-0)/(4-0)

m = 8/4

m = 2

The slope of this line is 2, so,

velocity = 2 m/s

==============================================

Part (ii)

The two points we're working with are (4,8) and (6,8). The slope is...

m = (y2 - y1)/(x2 - x1)

m = (8-8)/(6-4)

m = 0/2

m = 0

Horizontal lines always have a slope of 0 to indicate no change in height.

The velocity is 0 m/s.

==============================================

Part (iii)

Same idea as the previous parts. The endpoints are (6,8) and (9,14)

m = (y2 - y1)/(x2 - x1)

m = (14-8)/(9-6)

m = 6/3

m = 2

This piece also has slope 2. This piece is parallel to the first piece. Parallel lines have equal slopes but different y intercepts.

velocity = 2 m/s

==============================================

Part (iv)

(a) The average velocity from 0 to 4 seconds is the exact same as the velocity we computed earlier in part (i). The answer is 2 m/s(b) We travel 8 meters in 6 seconds, so the average velocity is 8/6 = 4/3 = 1.33 m/s approximately. You can use the slope formula for the endpoints (0,0) and (6,8) to get the same result.(c) The average velocity is 14/9 = 1.56 m/s approximately because we travel 14 meters in 9 seconds. You can use the slope formula for the endpoints (0,0) and (9,14).

As you can see, with average velocity, all we care about are the starting and ending points. We aren't concerned at all with what happens in between.

Comparing the results for part (i) and part (iv)(b), we see that the velocity has gone down. This is due to the flat portion in which you aren't moving.

the ratio of boys to girls in a class is 7:5 there are36
students in the class how many students are girls

Answers

Answer:

There are 15 girls

Step-by-step explanation:

Look at the picture

There are 15 girls that’s the answere

Ana is saving to buy a bicycle that costs $135. She has saved $98 and wants to know how much more money she needs to buy the bicycle.The equation 135 = x + 98 models this situation, where x represents the additional amount of money Ana needs to buy the bicycle... When substituting for x, which value(s), if any, from the set {0, 37, 98, 135, 233} will make the equation true? *

Answers

Answer:

37

Step-by-step explanation:

135-98 equals 37

20 is about what percent of 52

Answers

Answer:

To get the solution, we are looking for, we need to point out what we know.  

1. We assume, that the number 52 is 100% - because it's the output value of the task.  

2. We assume, that x is the value we are looking for.  

3. If 52 is 100%, so we can write it down as 52=100%.  

4. We know, that x is 20% of the output value, so we can write it down as x=20%.  

5. Now we have two simple equations:

1) 52=100%

2) x=20%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

52/x=100%/20%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 20% of 52

52/x=100/20

(52/x)*x=(100/20)*x       - we multiply both sides of the equation by x

52=5*x       - we divide both sides of the equation by (5) to get x

52/5=x  

10.4=x  

x=10.4

now we have:  

20% of 52=10.4

Step-by-step explanation:


Carol is solving the inequality 3 have?
There are infinitely many solutions.
There are only two solutions.
There is only one solution.
There are no solutions.

Answers

Answer:

There are infinitely many solutions

Step-by-step explanation:

Firstly, I need to change f to x as the system won’t accept the word f

Let’s take a look at the question;

3 is less than x

The domain of our answer lies in the the range of values where we have numbers that are greater than 3

This means we can rewrite our inequality as x is greater than 3

Now, simply because we have an infinite amount of numbers which are greater than 3 of which x can take any of the values, we can conclude that the number of values we have for x are infinite and does not end

This makes us have infinitely many solutions for the value of x

Please Help Me i'll give you all my points
A survey of your friends find that 11 own a dog, 12 own a cat, and 7 have no pet. Find the experimental probability that the next person you ask will be a cat owner.

Answers

Answer:

40% chance or probability

Step-by-step explanation:

30 people total 12 have had a cat, convert into fraction, 6/15, convert into a percent and you get 40%

Other Questions
How did companies like Sears take advantage of the newly created federalmail service?A. By hiring more postal workersB. By developing e-commerceC. By creating mail-order catalogsD. By building more post offices a) Fill in the blanks in the following paragraph to correctly describe the nucleus of an atom. _______ and _________ are the two types of nucleons that make up a nucleus. The __________ force exists between _________ in the nucleus because of their charge. Because it is repulsive, this force tends to make a nucleus __________. However, the __________ force acts between protons, between neutrons, and between protons and neutrons. This force helps to make a nucleus __________, because it is always attractive. Which of the following is an example of a public service Solve 3y^{2} - (y + 2) (y - 2) Choose the best response for each question.Qu quieres?Dime que se duerman.Diles que se duerman.Dinos que se duerman.Dile que se duerman. Help me ASAP! A walkway surrounds a rectangular garden. The width of the garden is 9 feet, and the length is 12 feet. The width of the walkway around the garden is the same on every side . Write an expression that represents the total area of the garden and walkway._____ q^2+____q+_____ please answer quickly The musical, The Sound of Music is based on a _____________________. 2. The original music opened on Broadway in ______________. 3. The musical was written by Richard ________________ and Oscar ___________________________. 4. Rodgers wrote the _______________ and Hammerstein wrote the ________________. 5. The musicals that Rodgers and Hammerstein wrote were considered the ________________________________ of Broadway musicals. 6. Richard Rodgers was born on June 28, ____________ and died on December 30, ______________. 7. Oscar Hammerstein was born on July 12, ____________ and died on August 23, ______________. 8. The first show the two wrote together was called _____________________. 9. Rodgers and Hammerstein changed how musicals were written by making all the singing, dancing and music _________________________________________. 10. Sometimes people call Rodgers and Hammerstein shows ________________________________________. 11. The Sound of Music was Rodger and Hammersteins last _________________. 12. The movie version of The Sound of Music was made in ____________. 13. In the musical you will hear many voice types. They are: ___________________ highest female voice ___________________ medium female voice ___________________ low female voice ___________________ highest adult male voice ___________________ mid-range adult male voice ___________________ lowest adult male voice 14. You will also hear many different types of ensembles. They are: ___________________ one person ___________________ two people ___________________ three people ___________________ four people ___________________ the entire cast or everyone ___________________ the instruments that accompany the show. What is 2+2 jfkkrhjkorowjeurkfbrbrjjrjrfj The human body can survive without all with the exception of: AWater BFruits CCandy DFood Please answer this correctly Hoi Chong Transport, Ltd., operates a fleet of delivery trucks in Singapore. The company has determined that if a truck is driven 126,000 kilometers during a year, the average operating cost is 13.3 cents per kilometer. If a truck is driven only 84,000 kilometers during a year, the average operating cost increases to 15.5 cents per kilometer. Required:1. Using the high-low method, estimate the variable operating cost per kilometer and the annual fixed operating cost associated with the fleet of trucks.2. Express the variable and fixed costs in the form Y = a + bX.3. If a truck were driven 105,000 kilometers during a year, what total operating cost would you expect to be incurred? What diffuses faster: a gas sample into a vacuum container, or a gas sample into an air filled container? what happened to some of the nazi leaders before world war 2 ended and why Which statements explain how ponds and lakes differ? Select two options.Ponds are shallower than lakes.Ponds are larger than lakes.Pond water moves more than lake water.Lakes have more plants at the bottom than ponds.Lakes are colder and darker at the bottom than ponds. Triangle XYZ is rotated 90 clockwise about the origin.On a coordinate plane, triangle X Y Z has points (negative 3, 1), (4, 4), (4, 1).What are the coordinates of point X? An aqueous solution of sodium thiosulfate releases heat when it crystallizes. What would happen when sodium thiosulfate crystals dissolve in water? Imagine that you are creating a PSA about food safety. Which of these sources would be reliable for researching the topic? Check all that apply. a .gov or .org website on foodborne illnesses an article from a government organization such as the Food and Drug Administration a blog about the dangers of certain food groups newspaper articles reporting on recent trends in food poisoning and food recalls a .net website that shows a companys opinion about how to keep foods clean The Camera Shop sells two popular models of digital SLR cameras (Camera A Price: 200, Camera A Price: 300). The sales of these products are not independent of each other, but rather if the price of one increase, the sales of the other will increase. In economics, these two camera models are called substitutable products. The store wishes to establish a pricing policy to maximize revenue from these products. A study of price and sales data shows the following relationships between the quantity sold (N) and prices (P) of each model: NA = 195 - 0.5PA + 0.35PB NB = 300 + 0.06PA - 0.5PBConstruct a model for the total revenue and implement it on a spreadsheet. Develop two-way data table to estimate the optimal prices for each product in order to maximize the total revenue. Vary each price from $250 to $500 in increments of $10.Max profit occurs at Camera A price of $ .Max profit occurs at Camera B price of $ 4. How can Christians think critically about their encounters with members of otherfaiths within the framework of the Christian worldview? (150 words)