What is the relationship between the two quantities in the table?
The relationship between the quantities is “+ 90.”
The relationship between the quantities is “Minus 90.”
The relationship between the quantities is “+ 30.”
The relationship between the quantities is “Times 30.”

Answers

Answer 1

Answer: Your answer is C

Step-by-step explanation:

Have a nice day


Related Questions

plis las respuestas

Answers

Answer:

3. [tex]\frac{3}{4}[/tex] and [tex]\frac{6}{8}[/tex]  4.[tex]\frac{8}{2}[/tex] and [tex]\frac{4}{1}[/tex]

5. [tex]\frac{10}{50}[/tex]   6.[tex]\frac{1}{4}[/tex]  7.[tex]\frac{45}{50}[/tex]

8. x=1  9.x=30  10.x=16

11. [tex]\frac{8}{12} \frac{4}{6} \frac{2}{3}[/tex]  

12.   red pencils=[tex]\frac{4}{10}[/tex]   black pencils=[tex]\frac{6}{10}[/tex]

total pencil = 4+6 =10

13. no es claramente visible, pero la respuesta podría ser [tex]\frac{1}{3}[/tex] y [tex]\frac{2}{6}[/tex]

                 

I can use models to multiply a fraction by a whole number.

Answers

Answer:

yes

Step-by-step explanation:

Answer:

Step-by-step explanation:

Find the perimeter of the triangle in units. Round to two decimal
places as necessary.
E(12,-5)
D(-1,-1
F(7,4)

Answers

Therefore , the solution of the given problem of triangle comes out to be triangle's length, rounded to two decimal places, is roughly 33.33 units.

What is a triangle, exactly?

A polygon is a hexagon if it has not less than one extra segment. It has a straightforward rectangle-shaped structure. Only edges A and B can differentiate something like this from an ordinary triangular shape. Despite the exact collinearity of the borders, Euclidean geometry only produces a part of the cube. Three edges and three angles make up a triangle.

Here,

Finding the length of each side and adding them together will allow us to determine the perimeter of the triangle whose points are E(12,-5), D(-1,-1), and F(7,-4).

The length of EF is given below using the distance formula:

=> √((7 - 12) ² + (4 - (- 5))² = √(25 + 81) = √(106) =  10.30

The ED is as follows:

=>  sqrt((-1 - 12)2 + (-1 - (-5))2) = sqrt(169 + 16) = sqrt(185), which is 13.60.

And DF is this long:

=>  √((7-1))² + (4-1))² = √(64+25) = √(89) = 9.43

As a result, the triangle's circumference is:

=>  10.30 + 13.60 + 9.43 ≈ 33.33

The triangle's length, rounded to two decimal places, is roughly 33.33 units.

To know more about triangle visit:

https://brainly.com/question/2773823

#SPJ1

Use 3.14 for pi and round your answer to the nearest millimeter if necessary. please answer all three questions.

Answers

The ant must crawl 454.48 mm upwards to get from the base of the cone to the top of the hill. Inserting the values of h (447.68 mm) and r (20 mm) into the equation gives h = 8792/(3.14*202))*3 = 447.68 mm.

What is a cone?

A cone is a three-dimensional geometric form with a smooth taper from a flat cylindrical base to a singular spot known as the tip. A cone has a curved surface that stretches from the base to the tip and an axis that runs through the base and apex.

The formula for the height of the cone is: Height = 3/πr2 (where r is the radius of the base of the cone). In this case, the radius is 20 mm, so the height is equal to: Height = 3/π(20)2 = 60/π mm.  The slant height, s, is equal to the square root of the height squared plus the radius squared. the distance the ant has to crawl from the base of the cone to the top of the hill, we can use the Pythagorean theorem to find.

1. To find the height of the cone, the formula for the volume of a cone can be used, where V = (1/3)πr2h. Rearranging this formula gives h = (V/(πr2))*3, where V is the volume of the anthill (8792 mm3), π is 3.14, and r is the radius of the anthill (20 mm).

2. The slant height of a cone is the distance from the center of the circle at the base of the cone to the apex of the cone. It is equal to the square root of the sum of the squared height of the cone and the squared radius of the cone. This can be expressed using the Pythagorean Theorem, where s = √h2 + r2.

A cone is a three-dimensional geometric shape with a circular base and a pointed apex. It is one of the two basic forms of a solid in geometry, the other one being a sphere.  

To know more about volume, visit

brainly.com/question/1578538

#SPJ1

Please Answer Please

Answers

Answer:

The court for 10 and under is 18 feet shorter so the area of this court is ( 78 − 18 ) × 27 = 1620 (78-18)\times27=1620 (78−18)×27=1620 square feet. Therefore, the area of this court is 2106 − 1620 = 486 2106-1620=486 2106−1620=486 square feet less than that of the regular court.

A bag holds 13 marbles. 6 are blue, 2 are green, and 5 are red.

If you select two marbles from the bag in a row without replacing the first marble, what is the probability that the first marble is blue and the second marble is green?

Answers

Answer: 6/13-2/13

I'm correct cause I always am hehe

∠A=5x−15

start color #11accd, angle, A, end color #11accd, equals, start color #11accd, 5, x, minus, 15, degrees, end color #11accd \qquad \green{\angle B} = \green{2x +21^\circ}∠B=2x+21

start color #28ae7b, angle, B, end color #28ae7b, equals, start color #28ae7b, 2, x, plus, 21, degrees, end color #28ae7b

Encuentra el valor de xxx y luego la medida de \greenD{\angle B}∠Bstart color #1fab54, angle, B, end color #1fab54:
\greenD{\angle B} =∠B=start color #1fab54, angle, B, end color #1fab54, equals
^\circ

Answers

In this case, the value of x is 9 Degrees.

From the given information, we know that ∠A is equal to 5x - 15 degrees. Now, we can use this equation to find the value of x. To do this, we need to rearrange the equation and solve for x. We can do this by adding 15 degrees to both sides of the equation, which gives us:

∠A + 15 = 5x

Now, we can divide both sides of the equation by 5 to isolate x, which gives us:

x = (∠A + 15) / 5

Therefore, we have found the value of x in terms of ∠A. If we know the value of ∠A, we can substitute it into this equation to find the value of x. For example, if ∠A is equal to 30 degrees, then:

x = (30 + 15) / 5
x = 9

So, in this case, the value of x is 9 degrees. I hope this helps you with your question. If you have any further questions or need any additional help, please let me know.

To Learn More About Degrees

https://brainly.com/question/29165823

SPJ11

I NEED HELP ON THIS ASAP! IT'S DUE TODAY!!!

Answers

Answer:

Scalene; right triangle

Step-by-step explanation:

See picture attached.

find the following probabilities related to odds. step 1 of 2 : if the odds in favor of a horse winning a race is 8:9 , what is the probability of the horse winning the race? express your answer as a simplified fraction.

Answers

Answer: The odds in favor of a horse winning a race are given as 8:9, which means that the probability of the horse winning is 8/(8+9) = 8/17. Therefore, the probability of the horse winning the race is 8/17.

Step-by-step explanation:

The probability of the horse winning the race is 8/17.


The odds in favor of a horse winning a race is 8:9. To find: The probability of the horse winning the race. The odds are defined as: The odds in favor of an event = Number of ways an event can occur : Number of ways the event cannot occur.

Here, the odds in favor of a horse winning a race = 8 : 9. That means, the horse can win in 8 ways and lose in 9 ways. Therefore, the probability of the horse winning the race can be calculated as follows:

Probability of horse winning the race = Number of ways the horse can win / Total number of possible outcomes
= 8 / (8 + 9) [As total outcomes = winning outcomes + losing outcomes]
= 8 / 17
Therefore, the probability of the horse winning the race is 8/17.

To know more about probability, refer here:

https://brainly.com/question/30034780#

#SPJ11

An adult male hippopotamus can weigh from 3,500 pounds to 9,920 pounds. About how many tons is this

Answers

An adult male hippopotamus can weight from 3,500 pounds to 9,920 pounds, which is equivalent to 1.75 tons to 4.96 tons.

Weight is a measure of the force exerted on an object by gravity. It is typically measured in units of mass, such as pounds or kilograms, but is commonly referred to as "weight" in everyday language. The weight of an object can vary depending on its location and the strength of the gravitational field in that location.

To convert pounds to tons, we need to divide the weight in pounds by 2,000 (since there are 2,000 pounds in a ton). So, we have:

Minimum weight: 3,500 pounds / 2,000 = 1.75 tons (rounded to the nearest hundredth)

Maximum weight: 9,920 pounds / 2,000 = 4.96 tons (rounded to the nearest hundredth)

Therefore, an adult male hippopotamus can weigh approximately 1.75 to 4.96 tons.

To learn more about Weight :

https://brainly.com/question/27220437

#SPJ11

CAN SOMEONE PLS HELP WITH THIS ILL MARK BRAINLIEST

Answers

Circle 1:

    R- 3cm

    D- 6cm

    C- 18.84cm

Circle 2:

    R- 6in

    D- 12in

    C- 37.68in

Circle 3:

    R- 9mm

    D- 18mm

    C- 56.52mm

your welcome :)

For a sample of 20 IQ scores the mean score is 105. 8. The standard deviation, o, is 15. Determine

whether a normal distribution or a t-distribution should be used or whether neither of these can be used

to construct a confidence interval. Assume that IQ scores are normally distributed,

A) Use normal distribution,

B) Cannot use normal distribution or t-distribution,

C) Use the t-distribution

Answers

The 95% confidence interval for the population mean IQ score is (99.62, 111.98), therefore option(A) use normal distribution

Since the sample size is greater than 30 (n=20), we can use the normal distribution to construct a confidence interval for the population mean.

We can use the formula:

Confidence Interval = sample mean ± z (standard error)

where z is the critical value from the standard normal distribution corresponding to the desired level of confidence, and the standard error is calculated as:

standard error = o / sqrt(n)

where o is the sample standard deviation and n is the sample size.

Assuming a 95% confidence level, we can find the critical value z from the standard normal distribution table or using a calculator. The critical value for a 95% confidence level is 1.96.

Substituting the values in the formula, we get:

Confidence Interval = 105.8 ± 1.96 × (15 / sqrt(20))

Confidence Interval = 105.8 ± 6.18

Therefore, the 95% confidence interval for the population mean IQ score is (99.62, 111.98).

Therefore, we can use the normal distribution to construct a confidence interval for the population mean IQ score.

Therefore, the correct option is (A) Use normal distribution.

Learn more about confidence interval here

brainly.com/question/24131141

#SPJ4

PLEASE HELP!! WILL GIVE BRAINLIEST!!

Question 4: You are creating an obstacle for a community event. The area of the rectangular space is represented by the expression 8x^2 - 12x. The width of the rectangular space is represented by the expression 4x.
Part A: Write an expression to represent the length of the rectangular space. (1pts)

SHOW ALL WORK TO FIND ALL LENGTHS (3pts) (MANDATORY!)

Answer: Length of Rectangular Space
______________________________
Part B: Prove your answer from Part A is corrected by multiplying the length and width of the rectangle. SHOW ALL WORK!!

Answer Write the expression in standard form:
___________________________________

Answers

Answer:

See below.

Step-by-step explanation:

First, we know that area = length times width. so the first step is to figure out how we got 8[tex]x^{2}[/tex]-12x. factor out 4x  from the equation to get the length of the rectangular length. 4x(2x-3). so the length of the rectangle is 2x-3. to prove your answer, FOIL the two numbers, 4x and 2x-3, to get 8[tex]x^{2}[/tex]-12x. This equation is in standard form. The final answer is 8[tex]x^{2}[/tex]-12x

What is the value of the expression 962 +2c-5
when b=5 and c=4

Answers

Answer:

960

Step-by-step explanation:

Represent the following sentence as an algebraic expression, where "a number" is the letter x. You do not need to simplify. Nine times the cube of a number. COORD​

Answers

The solution of the given problem of expression comes out to be  9x³.

What exactly is an expression?

There is a need for calculations like variable multiplying, splitting, joining, and currently removing. If they were combined, it would read: A mathematical formula, some data, and an equation. Values, elements, and mathematical operations like additions, subtractions, mistakes, subdivisions, but also arithmetic formulas all make up a declaration of truth. It is possible to assess and analyse words and sentences.

Here,

The following is the provided sentence's algebraic expression:

=> 9x³

where x is a numerical symbol.

Therefore , the solution of the given problem of expression comes out to be  9x³.

To know more about expressions visit :-

brainly.com/question/14083225

#SPJ1

Complete question:

Represent the following sentence as an algebraic expression, where "a number" is the letter x. You do not need to simplify.

{Nine times the difference of 8 and a number.}

Nine times the difference of 8 and a number.

Y=3(x+5)^2-1

Plot five points on the parabola: the vertex, two points to the left of the vertex, and two points to the right of the vertex. Then click on the graph-a-function button.

Answers

Answer:

Step-by-step explanation:

hey need help
In a fraction the numerator is 1 less than the denominator if 1 is added to the numerator and 5 to denominator the fraction becomes 1 / 2 find the original fraction​

Answers

If in a fraction the numerator is 1 less than the denominator if 1 is added to the numerator and 5 to denominator the fraction becomes 1 / 2 . The  the original fraction​ is4/5.

What is the original fraction?

Let's assume that the denominator of the original fraction is x. Then, according to the problem, the numerator is x - 1.

If 1 is added to the numerator and 5 is added to the denominator, we get:

(x - 1 + 1) / (x + 5) = 1/2

Simplifying the left side of the equation, we get:

x / (x + 5) = 1/2

Multiplying both sides by 2(x + 5), we get:

2x = x + 5

Subtracting x from both sides, we get:

x = 5

So, the denominator of the original fraction is 5, and the numerator is 5 - 1 = 4.

Therefore, the original fraction is 4/5.

Learn more about fraction here:https://brainly.com/question/78672

#SPJ1

To find a segment parallel to another segment and through a given point, fold
a piece of paper so that the fold goes through the point and the pieces of the
segment on either side of the fold match up.
• À. True
• B. False

Answers

Finding a line segment parallel to another segment and passing through a given point is true.

What is line segment?

A line segment is a finite portion of a line that is bounded by two distinct points.

According to question:

The statement is asking whether the following method is true or false for finding a line segment parallel to another segment and passing through a given point:

Take a piece of paper.Fold the paper so that the fold line goes through the given point.Place the original segment on the paper so that one end of the segment is on one side of the fold and the other end is on the other side of the fold.Trace the segment onto the paper on both sides of the fold.Remove the original segment and connect the two traced segments with a straight line.

This method is called the "fold-and-copy" method, and it is a valid way to construct a segment parallel to another segment and passing through a given point. The reason this works is because when the paper is folded along the given point, the fold line is perpendicular to the original segment. When the segment is copied onto the paper on both sides of the fold, the resulting segments are also perpendicular to the fold line. Since two lines that are both perpendicular to the same line are parallel, the resulting segment is parallel to the original segment. The resulting segment also passes through the given point, since it was copied from the original segment which passes through the given point. Therefore, the statement is true.

Learn more about line segment visit:

https://brainly.com/question/17006091

#SPJ1

1 point) Suppose that the blood pressure of the human inhabitants of a certain Pacific island is distributed with mean μ=74 mmHg and standard deviation σ=9 mmHg. According to Chebyshev's Theorem, at least what proportion of the islander's have blood pressure in the range from 47 mmHg to 101 mmHg ?

Answers

At least 88.88% of islanders have blood pressure that falls between 47 and 101 millimetres of mercury using Chebyshev's Theorem.

For each data distribution, Chebyshev's Theorem gives a lower constraint on the percentage of data that is within a given range of standard deviations of the mean. It specifically asserts that at least 1-1/k2 of the data will fall within k standard deviations of the mean for each dataset, regardless of its shape. In this instance, we're trying to determine the percentage of islanders whose blood pressure is between 47 and 101 millimetres of mercury.

We must determine the upper and lower range boundaries' standard deviations from the mean in order to use Chebyshev's Theorem. The lowest and upper limits are both 27 mmHg below and above the mean, respectively. As we want to know what percentage of the data falls within three standard deviations of the mean, we set k=3 and the range to be 6 standard deviations broad (27 mmHg / 9 mmHg per standard deviation).

By using Chebyshev's Theorem, we can determine that at least 88.88% of the islanders have blood pressure that is within three standard deviations of the mean (1-1/32 = 8/9 = 0.8888). We can infer that at least 88.88% of islanders have blood pressure in the range of 47 mmHg to 101 mmHg as the range we are interested in is within three standard deviations of the mean.

Learn more about Chebyshev's Theorem here:

https://brainly.com/question/30584845

#SPJ1

Answer has to be right to get brainilest!!!!

Answers

Answer:

hard question

Step-by-step explanation:

Happy Thanksgiving

Please ASAP Help
Will mark brainlest due at 12:00​

Answers

Answer:

X = -22

Step-by-step explanation:

WX = 1/7 WY

The length of WY = 2 - (-26) = 2 + 26 = 28

WX = 1/7WY = 28/7 = 4

X = -26 + 4 = -22

Answer:

X is at -22

Step-by-step explanation.

distance between W and Y is 28. 28/7 is 4. 4 away from w is -22.

work out the exact cost of Arabella’s 42 dresses using the special offer?

Answers

Answer:

$328.86

Step-by-step explanation:

1 dress is $8.70

42 dresses = 42 x 8.70

42 dresses = $365.40

10% of total cost = 10/100 x 356.40

36.54

Deduct the discount from the total amount

$365.40 - $36.54 = $328.86

I have no clue on how to do this, help?

Answers

Answer:

[tex]40 {ft}^{2} [/tex]

Step-by-step explanation:

You will get the shaded area by subtracting the smaller rectangle from the area of the larger restangle.

The larger rectangle's area would be

[tex]10 \: ft \: \times 8 \: ft = 80 \: {ft}^{2} \\ [/tex]

The smaller rectanlge's area is

[tex]5 \: ft \: \times \: 8ft \: = 40 \: {ft}^{2} [/tex]

The shaded region would be

[tex]80 - 40 = 40 {ft}^{2} [/tex]

A container in the shape of a triangular prism is used to hold a slice of pizza. The dimensions of the container are shown in the diagram.



Pizza, 10.8 inches, 7.2 inches, 1.5 inches, 9 inches



What is the volume of the container in cubic inches?

Answers

For the pizza box shaped in triangular prism, the volume is obtained as 58.32 cubic inches.

What is volume?

Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

The volume of a triangular prism is given by the formula:

V = (1/2) × base × height × length

where the base and height are the dimensions of the triangular base and the length is the height of the prism.

In this case, the base of the prism is a right-angled triangle with base 10.8 inches and height 7.2 inches.

The area of the base can be found as -

Area = (1/2) × base × height

= (1/2) × 10.8 × 7.2

= 38.88 square inches

The length of the prism is given as 9 inches.

Therefore, the volume of the container can be calculated as -

V = (1/2) × base × height × length

= 38.88 × 1.5

= 58.32 cubic inches

Hence, the volume of the container is 58.32 cubic inches.

To learn more about volume from the given link

https://brainly.com/question/1972490

#SPJ1

1/3 (-2x + 9 +3x) = 8


HELP QUICK!!!!

Answers

Answer:

15

Step-by-step explanation:

To solve 1/3 (-2x + 9 +3x) = 8, you need to follow these steps:

Multiply both sides by 3 to get rid of the fraction: -2x + 9 + 3x = 24

Simplify by combining like terms: x + 9 = 24

Subtract 9 from both sides: x = 15

Check your answer by plugging it back into the original equation: 1/3 (-2(15) + 9 + 3(15)) = 8

Simplify: 1/3 (9 + 45) = 8

Simplify: 1/3 (54) = 8

Simplify: 18 = 8

Since this is true, the answer is correct.

The solution is x = 15.

what is the value expression
2( X + 4) - (y * 8)
when x= 1/8
and y= 3/16

Answers

Answer:17/4

Step-by-step explanation:

Solution:

Your problem → 2((1/8)+ 4) - ((3/6)*8)

2((18)+4)-((36)⋅8)

=2⋅(1/8)+4-((36)⋅8)

=2⋅(1+4×8)/8-((36)⋅8)

=2⋅(1+32)/8-((36)⋅8)

=2⋅(33/8)-((36)⋅8)

=2⋅(33/8)-((36)⋅8)

=(33/4)-((36)⋅8)

=(33/4)-(36⋅8)

=(33/4)-(12⋅8)

=(33/4)-12⋅8

=(33/4)-4

=(33/4)-4

=(33-4×4)/4

=(33-16)/4

=17/4

=4.25 (in decimal)

Step-by-step explanation:

PLEASE ANSWER I WILL MAKE U BRAINLIST
Show steps thank you.

Answers

7/2 and x=
4
8−3y

I hope it helps you

Answer:

x = 2 and y = 0

Step-by-step explanation:

Let's solve your system by elimination.

2x−3y=4;4x+3y=8

2x−3y=4

4x+3y=8

Add these equations to eliminate y:

6x=12

Then solve 6x=12 for x:

6x=12

x = 2

Now that we've found x let's plug it back in to solve for y.

Write down an original equation:

2x−3y=4

Substitute 2 for x in 2x−3y=4:

(2)(2)−3y=4

−3y+4=4  (Simplify both sides of the equation)

−3y+4+−4=4+−4  (Add -4 to both sides)

−3y=0

y = 0

A rectangle park is 45m long and 30m wide. A path 2.5m wide is constructed outside the park. Find the area of the path

Answers

Answer:

A rectangle park is 45m long and 30m wide. A path 2.5m wide is constructed outside the park. Find the area of the path

Step-by-step explanation:

A rectangle park is 45m long and 30m wide. A path 2.5m wide is constructed outside the park. Find the area of the path

10^ 5*10^ -1 =??

please help me

Answers

Answer: 10,000

Step-by-step explanation:

10^5 = 100000 and 10^-1 = 1/10, so the answer is 10000

Samuel cut a cylinder from a piece of wood. He measured the circumference of the base of the cylinder and found that it measures 9.42 inches. The height of the cylindrical piece of wood is 6 inches. what is the approximate volume of Samuel's wooden cylinder?​

Answers

The approximate volume of Samuel's wooden cylinder is calculated as: 56.52 cubic inches.

What is the Volume of a Cylinder?

The volume of a cylinder can be calculated by multiplying the circumference with the height of the cylinder.

Therefore, the volume of a cylinder is calculated as V = πr²h, where h is the height and πr² is the circumference of the cylinder.

Given the following:

Circumference = 9.42 inches

Height of the cylinder = 6 inches.

Thus, we have:

Volume of cylinder = 9.42 * 6 = 56.52 cubic inches.

Learn more about the volume of a cylinder on:

https://brainly.com/question/27535498

#SPJ1

Other Questions
Bert is at the bakery. He is looking at different types of cakes. He sees one that serves 2 and costs $4.50, another serves 8 and costs $10.00, and another cake that serves 10 and costs $20.00. Which cake is the most expensive per serving? How did Pedro Cabral discover new lands in South AmericaO He was looking for a southwest passage to Asia.O He was sailing off the coast of Africa when he traveled too far wesHe was looking for new markets for Portuguese products.He was searching for gold owned by New World natives.BacSubmit Who was the African-American leader whoworked to achieve fairness in Federalemployment hiring? The term "_____" was sometimes used to describe abstract animation, because it was considered to be a pure product of the film medium, with no parallel in nature. Absolute film How does beginning the story with the statue's historycontribute to its significance in the disagreement betweenJames and his mother? What type of foam system will be found at a property that stores large quantities of flammable and combustible liquids?A.Hybrid foamC.High expansionB.Low expansionD.Medium expansion Use the drawing tool to sketch the graph and label its parts. The Renaissance in Europe was characterized by which of the following social changes? Reawakening of interest in Greek and Roman arts and culture Increase in rational and scientific pursuits Artists were supported by wealthy patrons to increase their patrons prestige ramon understands that if a is bigger than b, and b is bigger than c, then a must also be bigger than c. this shows that he has mastered: ramon understands that if a is bigger than b, and b is bigger than c, then a must also be bigger than c. this shows that he has mastered: transitivity reversibility of thought conservation seriation SKETCHPADQuestion 9An online store sells plain rings for $3 each and rings decorated with initials for $4 each.Tyler makes a table to compare the costs of the rings. Complete the pattern in the first twocolumns of the table. Then, write the ordered pairs for the corresponding terms in thethird column.aD+PENCILTHIN VBLACK VCost of plain rings (x) Cost of initial rings (y)(in dollars)(in dollars)00(((Ordered Pairs(x, y)(0, 0))))) Im which of the following energy sources is not derived directly or indirectly from solar energy? responses biomass biomass geothermal geothermal hydroelectric hydroelectric wind In order for an amendment to be added the Constitution, 3/4's of the states must ___________ it. Father's age is five times than the son's age. If the sum of their ages is 60 years, find their present ages. what is the best software company in Hyderabad? an investigator is measuring the current in a photoelectric effect experiment. the cathode is illuminated by light of a single wavelength. what happens to the current if the wavelength of the light is reduced by a factor of two while keeping the intensity constant? Suppose that a monopolist faces a demand function P=20-Q. Suppose that the monopolists marginal cost is 15 regardless of how many units the monopolist produces. Answer the following series of questions. What is the total surplus created? Now suppose that this monopolist operated as if it were a perfectly competitive firm. Answer the next series of questions under this assumption. What is the total surplus created? What would be a result of the Federal Reserve using Open Market Operations? Graph the solution to the following system of inequalities in the coordinate plane.y < -2x - 4x -3 choice of lawThe producer of an organic pet food shipped his products nationwide. His business and production offices were located in State A, the state in which he lived. After one pet owner's animal became sick due to toxins that had leaked into the producer's production supply, the owner filed a lawsuit in federal district court based on diversity jurisdiction in State B, the state in which he lived. A federal food regulation act governed the processes for how nutrition, including that applicable to animals, should be regulated. The producer did not meet those regulations, but did meet the lower standards required by State B. If the district court applied the State B statute, the producer would be absolved of any liability.Must the district court enforce the federal statute? If 9% of a number equals 10, find 27% of that number.