What are the coordinates of the image of vertex P after a reflection of rx-axis(x, y)? P'( , )

Answers

Answer 1

Answer: (-7, 4)

Step-by-step explanation:

Related Questions

When a parabola represented by the equation y - 2x 2 = 8 x + 5 is translated 3 units to the left and 2 units up, the new parabola has its vertex at

Answers

First rewrite y - 2x 2 = 8 x + 5 as

y = 2x 2 + 8 x + 5

Complete square and determine vertex.

y = 2(x 2 + 4x + 4) - 8 + 5

= 2(x + 2) 2 - 3

vertex at (- 2 , - 3)

If parabola is translated 3 units to the left and 2 units up its vertex is also translated 3 units to the right and 2 units up .

vertex after translations is at: (-2 - 3 , - 3 + 2) = (-5 , -1)

(-2 - 3 , - 3 + 2) = (-5 , -1)

have fun :)))))))))

A newly hatched channel catfish typically weighs 0.3 grams. During the first 6 weeks of life, its growth is approximately exponential, increasing by about 10% each day. Find the weight at the end of four weeks. (Hint: Be sure to change the number of weeks to days before plugging into the formula!) Formula: A=C(1+r)t

0.53g
4.33g
16.43g
1.14g

Answers

Answer: second option 4.33 g

Explanation:

1) The formula is given: A = C(1+r)ˣ ↔ (I used x instead of t just do to limitations of the math editor. Keep in mind that here x is time in days.

2) r is the rate of increasing given: 10% = 10/100 = 0.1

3) C is the initial weight and A is the final weight after x (or t) days.

4) The equation leads to:

A = 0.3 (1 + 0.1)ˣ = 0.3(1.1)ˣ

x = number of days = 7 × number of weeks = 7 × 4 = 28 days

4) Compute:

A = (0.3g)(1.1)²⁸

A = 4.33g ← answer

Final answer:

The weight of a newly hatched channel catfish after four weeks of exponential growth is approximately 1.14 grams.

Explanation:

To find the weight at the end of four weeks, we need to convert the number of weeks to days since the growth rate is given in terms of daily percentage increase. The formula to calculate exponential growth is A = C(1 + r)^t, where A is the final weight, C is the initial weight, r is the growth rate, and t is the number of periods. In this case, C = 0.3 grams, r = 0.10 (10% daily increase), and t = 4 weeks x 7 days/week = 28 days. Plugging in these values, we get A = 0.3(1 + 0.10)^28. Evaluating the expression, the weight at the end of four weeks is approximately 1.14 grams.

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XXXXHELPXXXX
Choose the equation that represents the graph below:

Answers:

y = −2x − 6
y = 2/3x + 6
y = −2/3x + 6
y = 2x + 6

Answers

y= -2/3x+6 is the answer.

you got this fam????????????????????????????????

Joy started with 2.75 gallons of milk. She used 1.5 pints to make mashed potatoes and another cup to make cookies. How much milk does joy have left?

Answers

Amount of cups Joy has=2.75
1 cup=0.0625 gallons
1 pint=0.125 gallons
amount used to make mashed potatoes:
1.5×0.125=0.1875 gallons
amount used to make cookies=0.0625 gallons
total amount of milk used:
0.0625+0.1875=0.25

Remaining amount
=2.75-0.25=2.5 gallons

An electrician can wire a house in 20 hours. if she works with an apprentice, the same job can be completed in 12 hours. how long would it take the apprentice, working alone, to wire the house?

Answers

Final answer:

It would take the apprentice 30 hours to wire the house alone.

Explanation:

Let's assume that the work done by the electrician alone in 1 hour is represented by E, and the work done by the apprentice alone in 1 hour is represented by A. According to the given information, the electrician can wire the house in 20 hours, so E = 1/20. When the electrician and the apprentice work together, they can wire the house in 12 hours, so their combined work in 1 hour is represented by (E + A) = 1/12.

To find out how long it would take the apprentice to wire the house alone, we can subtract the work done by the electrician in 1 hour (E) from the combined work done by both the electrician and the apprentice in 1 hour (E + A), which gives us A = (E + A) - E. Substitute the values:

A = (1/12) - (1/20) = (20 - 12) / (12 x 20) = 8 / 240 = 1/30.

So, the apprentice can wire the house alone in 30 hours.

5 plus 5 divided by 2 times 300032 plus 6

Answers

750,091
5/2=2.5
2.5x300,032
750,080+11
750,091

5 + 5/2 * 300032 + 6

STEPS:

DIVIDE AND MULTIPLY:

5 + 5/2 (300032) + 6

= 5 + 750080 + 6

ADD:

= 750085 + 6

= 750091

FINAL ANSWER: 750091

find two consecutive even integers such that twice the smaller is 16 more than the larger

Answers

Define x:
Let one of the numbers be x.
The other number is x + 2

Construct equation:
twice the smaller is 16 more than the larger
⇒2x = x + 2 - 16

Solve x:
2x = x + 2 - 16
x = -14

Find the two numbers:
Smaller number = x = -14
Larger number = x + 2 = -12

Answer: The two numbers are -14 and -12

Let's make an equation. X will be the smaller number while y is the bigger.
x+2=y; since they're consecutive even numbers. We will use that equation to represent y.
Twice the smaller; 2x
16 more than the larger; 16+x+2
2x=16+x+2; let's add like terms.
2x=18+x
Let's subtract x from both sides.
x=18
If the smaller number is 18, the bigger number is 20.

The two numbers are 18 and 20.

What does the underlined conjunction connect in the sentence? The family enjoyed fishing, but they loved hiking during their trip. A. sentences B. predicates C. subjects D. direct objects

Answers

the answer is c objects

In this figure, angle 3 = (2x+15) and angle 6 = (3x+10)

What value of x makes a || b?

Answers

[tex]\angle3+\angle6=180^o\\\\\text{substitute}\\\\(2x+15)+(3x+10)=180\\\\2x+15+3x+10=180\\\\5x+25=180\ \ \ |-25\\\\5x=155\ \ \ |:5\\\\\boxed{x=31}[/tex]

A ball is thrown into the air with an upward velocity of 32 ft/s. Its height (h) in feet after t seconds is given by the function h= -16t^2 + 32t + 6. How long does it take the ball to reach its maximum height? What is the ball’s maximum height? Roun

Answers

For this case we have the following equation:
h = -16t ^ 2 + 32t + 6
Deriving we have:
h '= -32t + 32
We equal zero and clear t:
-32t + 32 = 0
32t = 32
t = 32/32
t = 1 s
Then, the maximum height is given by:
h (1) = -16 * (1) ^ 2 + 32 * (1) + 6
h (1) = 22 feet
Answer:
It takes the ball to reach its maximum height about:
t = 1 s
The ball's maximum height is:
h (1) = 22 feet

helppp how do u do 12

Answers

B is the correct answer

[tex] \frac{x}{100} = \frac{53}{106} \\ x = \frac{53 \times 100}{106} = \frac{5300}{106} = 50[/tex]

good luck

[tex]\begin{array}{ccc}\$53.00&-&106\%\\\$x&-&100\%\end{array}\\\\cross\ multiply\\\\106x=53\cdot100\\\\106x=5,300\ \ \ \ |:106\\\\\boxed{x=50}\\\\Answer:\ \boxed{\$50} [/tex]

PLEASE HELP!! SO CONFUSED... WILL GIVE BRAINLIEST!!!
Amy owns a graphic design store. She purchases a new printer to use in her store.
The printer depreciates by a fixed rate of 14% per year. The function
V = 2,400(1 – 0.14)t can be used to model the value of the printer in dollars after
t years.

Question:

Part A: Explain what the parameter 2,400 represents in the equation of the function.
Part B: What is the factor by which the printer depreciates each year?
Part C: Amy also considered purchasing a printer that costs $4,000 and depreciates by 25% each year. Which printer will have more value in 5 years? Justify your answer by showing/explaining your work.

Answers

Given that the printer depreciates at the rate of 14% p.a. This has been modeled by the function V=2400(1-0.14)^t, this follows an exponential form given by
y=a(b)^x
where:
V=y
a=2400
b=1-0.14
x=t
thus:
Part A: Explain what the parameter 2,400 represents in the equation of the function.
The parameter 2400 represents the initial value of the printer at time t=0. This is the original value.

Part B: What is the factor by which the printer depreciates each year?
The factor of depreciation is 14% percent. This is the rate at which the printer depreciates and it accounts for the value of the printer at the end of every year.

Part C: Amy also considered purchasing a printer that costs $4,000 and depreciates by 25% each year. Which printer will have more value in 5 years?
Value after 5 years of the $2400 printer that depreciates at 14% per year will be:
V(t)=2400(1-0.14)^5=$1,129.025

Value after 5 years of the $4000 printer that depreciates at 25% per year will be:
F(t)=4000(1-0.25)^t
F(5)=4000(1-0.25)^5=$949.22

The printer that costs $2400 will be more valuable compared to the printer that cost $4000

Madeline is financing $321,800 to purchase a house. How much money will she save over the life of a 20 year fixed rate loan by buying five points with the rate of 4.23% instead of not buying points with the rate of 5.18%? Round to the nearest dollar. (show work)

A= $39,984
B= $23,894
C= $36,697
D= $36,766

Answers

Did you get an answer yet?

There are 5 cars to be displayed in 5 parking spaces, with all the cars facing the same direction. of the 5 cars, 3 are red, 1 is blue, and 1 is yellow. if the cars are identical except for color, how many different display arrangements of the 5 cars are possible?

Answers

For questions like these, I believe you use permutations. Basically you mutiply all the numbers in the set together. so in this case there are five, so you multiply numbers 1-5 together in order to get the total arrangements possible.

For example :
[tex]1 \times 2 \times 3 \times 4 \times 5 = 120[/tex]
There you go :)

Final answer:

The question relates to combinatorial mathematics and asks for possible arrangements of 5 cars of three different colors. Treating identical colors as one entity, we find that there are 6 ways to arrange the color groups and another 6 ways to arrange the red cars among themselves, resulting in 36 possible arrangements.

Explanation:

The subject of this question is combinatorial mathematics. We're asked how many different arrangements there are if we have 5 cars to be displayed in 5 parking spaces, with the condition that the cars are identical besides their color; 3 of them are red, 1 is blue, and 1 is yellow.

Since three cars are identical (red ones), we treat them as one. So initially, we have three 'entities' to arrange: the red group (of 3 cars), the blue car, and the yellow car. These can be arranged in 3! (which means 3 factorial, or 3 * 2 * 1) = 6 ways.

However, within the red group, those 3 red cars can be arranged amongst themselves in 3! = 6 ways.

Therefore, to get the total number of arrangements, we multiply these results together, giving us: 6 * 6 = 36 different arrangements.

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A 4-foot tall person standing with her back to the sun casts an 6-foot long shadow. To the nearest degree, what angle does the sun make with the ground?

Answers

The angle that the sun will make with ground will be given by:
tan θ=opposite/adjacent
opposite=4 ft
adjacent= 6ft
thus
tan θ=4/6
θ=arctan 4/6=33.69°

Nearly 90 percent of the people of indonesia are _______.

Answers

Answer: Muslims

Total Muslims in Indonesia is approximately 207.2 million or 87.2 (90%) of the total population. Other religions recognized by the Indonesian government aside from Islam are Protestant, Catholic, Hindu, Buddhism, and Confucian which accounts for 6.9,2.9,1.7,.7 and .05% of the total population, respectively.

Religion is a mandatory personal data to the Indonesians.

Answer:

MUSLIMS

Step-by-step explanation:

1)
At 1 pm the shadow of a tree is 14 feet long. At the same time the shadow of a 18 foot telephone pole is 21 feet long. What is the height of the tree?
A) 9 feet
B) 12 feet
C) 18 feet
D) 22 feet

Answers

set up a ratio:

telephone pole = 18ft high / 21ft shadow

tree = x ft high / 14 ft shadow

18/21 = x/14

cross multiply 18 x 14 = 252
21 x x = 21x

x = 252 / 21

x = 12

the tree is 12 feet tall
Answer is B

Find the first derivative?

Answers

y = 1/(x - 2) - 3

y' = d(x - 2)^-1 / dx The three is a constant and will disappear.

y' = d(x - 2)^-1 -1 d(x - 2)/dx

y' = -1*(x - 2)^-2 * 1

The minus comes from bringing down the original power down and reducing the power by one of the question. The 1 at the end comes from differentiating what is inside the brackets. It is called the chain rule

d(x - 2) / dx = d(x) / dx which is 1. The two, being a constant, disappears. The final answer is

y' = - (x - 2)^-2

Answer:

[tex]\displaystyle y' = \frac{-1}{(x - 2)^2}[/tex]

General Formulas and Concepts:

Calculus

Differentiation

DerivativesDerivative Notation

Derivative Property [Multiplied Constant]: [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]

Derivative Property [Addition/Subtraction]: [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]

Basic Power Rule:

f(x) = cxⁿf’(x) = c·nxⁿ⁻¹

Derivative Rule [Quotient Rule]: [tex]\displaystyle \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}[/tex]

Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle y = \frac{1}{x - 2} - 2[/tex]

Step 2: Differentiate

Derivative Rule [Quotient Rule]: [tex]\displaystyle y' = \frac{1'(x - 2) - 1(x - 2)'}{(x - 2)^2}[/tex]Basic Power Rule [Derivative Property - Addition/Subtraction]: [tex]\displaystyle y' = \frac{-1(1)}{(x - 2)^2}[/tex]Simplify: [tex]\displaystyle y' = \frac{-1}{(x - 2)^2}[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

If 6 is 30% of a value,
a.what is 70% of that value? b8 is omlwhat is 10%of the value?

Answers

70% is 14. And 10% is 2

so if 6 is 30% of a value we know that the value let's say x multiplied by .3 is 6. so we can write an equation to solve for the value x
[tex].3x = 6 \\ x = \frac{6}{.3} \\ x = 6 \times \frac{10}{3} = 20[/tex]

so our value is 20 and as 10% of 20 is 2 we see 30% of 20 is 2×3=6

now we want to find 70% of 20 and 10% of 20. we already know 10% of 20 is 20 because to find 10% we take the value 20.0 and move the decimal 1 place to the left which gives us 2.0. To find 70% we can multiply 20 by .7 or since we know 10% just multiply that by 7 because 10% ×7 =70% so 2×7=14 so 14 is 70% of 20. solving the other way we get
[tex]20 \times .7 = 20 \times \frac{7}{10} = \frac{20}{10} \times 7 = 2 \times 7 \\ = 14[/tex]
so we can see we are correct!

if you like my answer please rate as brainliest! thx

width = (b - a)/n = (8 - 0)/4 = 2

2(f(0) + f(2) + f(4) + f(6))
2(-1 - 2.5 - 1.5 - 0.5)
2(-5.5)
-11

Is my answer C, -11? The question says four subintervals, so I used f(0), f(2), f(4), and f(6). I want to make sure that I am NOT supposed to be using f(8), because f(8) would give me a final answer of D. -13.5

Answers

Yes, I'm getting C also!

Since it's asking for the left-endpoint Riemann Sum, you will only be using the top left point as the height for each of your four boxes, making -1, -2.5, -1.5, and -0.5 your heights. The bases are all the same length of 2. You don't include f(8) because you're not using right-endpoints, and that would also add another 5th box that isn't included in the 0 to 8 range.

I agree as well. The Riemann Sum diagram will look something like what you see in the attached images. I used GeoGebra to create the graph.

tom has twice as much as peter. peter has half as much as Mary. together they all have a total of $15.00. how much money did each have?

Answers

Since tom has twice as much as peter and peter has half as much as Mary this shows that Tom and Mary have the same amount

Tom=$6
Mary=$6
Peter=$3

Suppose you want to organize a community watch, one from each street. you have 5 volunteers from maple street and 3 volunteers from elm street. how many permutations do you get?

Answers

There would be 15 different options for the community watch.

One one side there are 5 volunteers and on the other side there are 3 volunteers. You just have to multiply 5 by 3 and you get 15 different options.

Brian wants to build a ramp that leads to a storeroom 5 meters above the ground. He wants the ramp to be 10 meters long. What should the angle of elevation of the ramp be?

15°

30°

45°

60°

Answers

Answer:

It would be 30

Step-by-step explanation:

I did it on plato

An irregularly shaped stone was lowered into a graduated cylinder holding a volume of water equal to 20mL. The height of the water rose to 30.2mL. If the mass of the stone was 25g what was its density?

Answers

Answer:
density = 2.4509 g/ml

Explanation:
1- getting the volume of the stone:
since the stone has an irregular shape, the volume of the stone would be equal to the increase in the volume of the stone after placing the stone in it.
Initial volume of water = 20 ml
Final volume of water = 30.2 ml
volume of stone = final volume of water - initial volume of water
volume of stone = 30.2 - 20 = 10.2 ml

2- getting the density of the stone:
we have:
volume of stone = 10.2 ml
mass of stone = 25 g
Therefore, we can get the density as follows:
density = mass / volume
density = 25 / 10.2
density = 2.4509 g/ml

Hope this helps :)

Final answer:

To find the density of the stone, subtract the initial volume of water from the final volume, then divide the mass of the stone by the volume. The density of the stone is 2.45 g/cm³.

Explanation:

In order to find the density of the stone, we first need to calculate its volume. The volume can be determined by subtracting the initial volume of water in the graduated cylinder from the final volume with the stone submerged. In this case, the volume of the stone is 30.2 mL - 20 mL = 10.2 mL.

Next, we can use the formula for density: density = mass/volume. Plugging in the given values, we have density = 25 g/10.2 mL.

Since density is mass divided by volume, we need to convert mL to g/cm³. 1 mL is equal to 1 g/cm³. Therefore, the density of the stone is 25 g/10.2 mL = 2.45 g/cm³.

How do you find the lateral area of the prism

Answers

Hi there!

The lateral area is the area of the figures connecting the bases. We have rectangles here. We'll need to find the area of each figure and add them together to find the lateral area.

WORK:
(2.8 x 12) + (8.1 x 12) + 2(4 x 12)
33.6 + 97.2 + 96
LA = 226.8 units^2

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!

Find the absolute maximum value of the function

Answers

The answer to this question is 1. If we differentiate each piece, we get
                       f'(x) = {2,          -2 < x < 0
                                  { -2x,       x>0
The critical number is x = 0. We can also see that f(x) is decreasing on x>0.
We check the end points and critical numbers for the absolute maximum. One end point at
                                   f(-2) = 2(-2) + 1 = -3
The critical number checked gives
                                    f(0) = -0^2 + 1 = 1
The absolute maximum value is 1.

Using 125 words or more, write a short paragraph discussing the reasons why someone should make a wil

Answers

You've probably got one of those "need to do eventually but not today" lists residing somewhere in your brain. Eat more salad. Paint the bathroom. Jog 30 minutes a day. Learn a foreign language. And while you normally hit snooze when these mental reminders go off in your brain, it may just be the one time when you might actually make an effort to get one or two of these items moved into the "let's do soon" list. The possibilities of a new year always seem to inspire those infamous resolutions and get us jump started on things we should have done a long time ago. But before you get carried away with this year's list, why don't you pencil in "write a will" at the top? Believe it or not, getting your will done this year might turn out to be the most important resolution you can make. First and foremost, think about your kids. You've made a lifelong commitment to love and nurture them, but you can only carry out your desires on this side of the grave. If you haven't made provision for their guardianship upon your death, then the courts and the law will make that decision for you. Do you want the determination of your children's care and training entrusted to a faceless legal system? If not, then for no other reason write a will so that you can be the one to decide who will best raise and love your children when you aren't around to do it yourself.

A will tells everyone what will happen to your money, possessions, and property when you die. There are many reasons to make a will. First, it will be easier for your family and friends to sort everything out. Without a will, it can be very stressful and time consuming to figure out how to allocate everything. Plus, if you don't have a will the law will decide how to allocate it and this might not be the way you want it. It can be especially important to write a will if you have children or other family that depend on you financially. This way, you can leave them the most possible to help them even when you are no longer alive. By writing a will, you can decrease the amount of inheritance tax that might need to be paid on any property and money that you will leave behind. Ultimately, by writing a will you will be able to decide who you leave your money, possessions, and property to when you die which can be very important to some individuals.

A class's test scores are normally distributed. If the average score is 60 and the standard deviation is 7, choose the spots where the students scoring below 46 and above 74 lie.

Answers

Answer with Step-by-step explanation:

We are given that a class's test scores are normally distributed with the average score 60.

We know that the curve of a normal distribution is symmetric about its mean.

60-14=46

60+14=74

Hence, the point 46 lies to the left of the mean and 74 lies to the right of mean and the two points have the same function value

(since the graph is symmetric to the left and right of mean i.e. points which are equidistant from the mean have same values)

Answer:

One of the answers I got that was correct was the box on the furthest left.

Step-by-step explanation:

A plane is flying at an altitude of 32,000 feet. The distance between the plane and a radio tower on the ground is 50,000 feet. What is the angle of depression between the plane and radio tower (round to 1 decimal place)?

Answers

see attached picture:

Below is the graph of y=b^x. Find b.

Answers

y = b^x

when x = 1
y = b^1
y = b

Therefore, the value of b is the same as the value of y when x =1
From the graph,
When x = 1, y = 0.5
Therefore, b = 0.5

To confirm this

From the graph,

When x = -1, y = 2
Since y = b^x
2 = b^-1
2 = 1/b
2b = 1
b = 0.5

When x = -2, y = 4
Since y = b^x
4 = b^-2
4 = 1/(b^2)
b^2 = 1/4
b = √(1/4)
b = 1/2
b = 0.5

Therefore, it is conformed that b = 0.5

Functions can be represented as equations, and equations can be represented as functions.

The value of b is 1/2

The graph is given as:

[tex]\mathbf{y = b^x}[/tex]

From the graph, we have the following point:

(x,y) = (-1,2)

Substitute these values in the function

[tex]\mathbf{2 = b^{-1}}[/tex]

Rewrite as:

[tex]\mathbf{2 = \frac{1}{b}}[/tex]

Multiply both sides by b

[tex]\mathbf{2b = 1}[/tex]

Divide both sides by 2

[tex]\mathbf{b = \frac{1}2}[/tex]

Hence, the value of b is 1/2

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Which of the following statements about the Fourteenth Amendment is true? (1 point) Select one: a. It reversed the strides emancipated slaves had made after the passage of the Thirteenth Amendment. b. It reinterpreted the Declaration of Independence's decree that "all men are created equal" to suppress the civil liberties of minorities. c. Its promise of equal protection was largely unfulfilled as Southern governments took measures to limit the progress of emancipated slaves. d. Its vow to ensure equal protection for all citizens was upheld religiously as emancipated slaves took government positions in the South. Jeff drinks 2/3 of a glass of juice. Write a fraction equivalent to 2/3 Which device on a network performs network address translation? Within these last 19 months at least 45 satellites have circled the earth. Some 40 of them were "made in the United States of America" and they were far more sophisticated and supplied far more knowledge to the people of the world than those of the Soviet Union. What rhetorical strategy is Kennedy most clearly using in the excerpt? Vernon has obtained a $105,000, 5/1 30-year ARM at 5%. During the first 3 years, he has an option of paying interest only. If he accepts this offer, what would be his initial payment? The diameter of a basketball rim is 18 inches. A standard basketball has a circumference of 30 inches. What is the distance between the ball and the rim in a shot in which the ball goes exactly in the center of the rim? Show your work. It took Alex 2.5 hours to cover a certain route walking at a rate of 3.6 km/h. How long would it take Alex to cover the same route if he walked at a rate of 4.5 km/h Nonmetals gain electrons under certain conditions to attain a noble-gas electron configuration. how many electrons must be gained by the element c? hey can you please help me posted picture of question What is the slant height for the given pyramid to the nearest whole unit?Pyramid base: 12 cmHeight: 8 cm If the price of pepsi increases, then there will be ________ of pepsi.a.an increase in the supplyb.an increase in the quantity suppliedc.a decrease in the quantity suppliedd.a decrease in the supply Hey can you please help me posted picture of question He radioisotope radon-222 has a half-life of 3.8 days. how much of a 65-g sample of radon-222 would be left after approximately 15 days? Find the mean, median, and interquartile for the data set below. Round your answer to the nearest tenth. 27,16,8,5,19,14,22,31,13,5,23,16,8 Mean: Median: Interquartile range: Wagner believed that _______ was the most important element of opera. A. scenery B. music C. drama D. staging According to robert sternberg, when two people are happily dating one another but not making future plans, this is called: infatuated love. fatuous love. romantic love. companionate love. 9.Which is not a true statement about setting in dramatic plays?A.Plays often have more than one setting.B.Setting is the time or place in which a scene occurs.C.Setting is communicated to the audience through the scenery.D.Settings are determined by the actors in the play. One circle has a circumference half as large as that of a second circle what ratio compares the diameter of the first circle There are 6 horses in a race. In how many ways can the first three positions of the order of the finish occur? (Assume there are no ties) Researchers suggest that nonviolent movements may be twice as likely to succeed as violent ones, even against repressive regimes. what is their reason?