Which graph represents the function h(x) = |x| + 0.5? On a coordinate plane, an absolute value graph has a vertex at (0, 1.5). On a coordinate plane, an absolute value graph has a vertex at (negative 0.5, 0). On a coordinate plane, an absolute value graph has a vertex at (0, 0.5). On a coordinate plane, an absolute value graph has a vertex at (negative 1.5, 0).

Answers

Answer 1

Answer:

On a coordinate plane, an absolute value graph has a vertex at (negative 0, 0.5).

Step-by-step explanation:

h(x) = |x| + 0.5

Has its vertex at h(x) = 0, h(x) = |x| + 0.5

0 = |x| + 0.5

|x| = -0.5

So x = -0.5

So, the vertex is at (-0.5, 0)

Answer 2

The graph that represents [tex]h(x) = |x| + 0.5[/tex] is (a) on a coordinate plane, an absolute value graph has a vertex at (0, 1.5)

The function is given as:

[tex]h(x) = |x| + 0.5[/tex]

An absolute function is represented as:

[tex]h(x) = |x - h| + k[/tex]

Where:

[tex]Vertex=(h,k)[/tex]

By comparison:

[tex](h,k) = (0,0.5)[/tex]

i.e. the vertex of function h(x) is (0,0.5)

Hence, the graph that represents [tex]h(x) = |x| + 0.5[/tex] is (a)

Read more about absolute functions at:

https://brainly.com/question/7515527


Related Questions

Solve for x
3/10 = x/7
Give your answer as an improper fraction in its simplest form!!!!!

Answers

Answer:

x = 21/10

Step-by-step explanation:

3/10 = x/7

Cross multiply.

10x = 21

x = 21/10

Answer:

x is 21/10

Step-by-step explanation:

3/10 = x/7

Multiply through by the LCM of 10 and 7 which is 70

we have

3/10 × 70 = x/7 × 70

21 = 10x

Divide both sides by 10

We have

21/10 = 10x /10

x = 21/10

Hope this helps you

which is grater -12.5 or -10.5

Please help me

Answers

Answer:

-10.5

Step-by-step explanation:

Greater a negative number the smaller it is.

Answer:

-10.5

Step-by-step explanation:

If you think about a number line

-4 , -3 , -2 , -1 , 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11

We can see that when we go →, the numbers increase and we can when we go ←, the numbers decrease. Since -12.5 in farther down the line it is smaller than -10.5

Classify the number -61.
1. Integer, rational, real
2. Rational, real
3. Whole, integer, rational, real
4. Natural, whole, integer, rational, real

Answers

Answer:

1. Integer, rational, and real

Step-by-step explanation:

Remember:

(This is how my teacher taught it; yours may have done it differently)

Real numbers are numbers that can be plotted on a number line.

Rational numbers can be represented as a fraction (if they can't be represented as such they are irrational).

Integers are natural numbers, the opposite of natural numbers, and zero.

Whole numbers are natural numbers and zero.

Natural numbers are numbers you can count with.

-61 fits under real numbers, rational numbers, and integers. Assuming you want to be as specific as possible, the answer will be 1. Integer, rational, and real.

I need help with this

Answers

Answer:

Step-by-step explanation:

Step 1. Calculate the measures of center (mean and median)

Mean= Average= All data values added together then divided by number of data values.

Median = middle of numbers

0:  14:  35:  86:  37:   18:  59:  210: 3

So, number of data values = 3+2+5+1+3+8+3+1= 26

Data values added together = 0 + 4+4+4+5+5+5+5+5+5+5+5+6+6+6+7+8+8+8+8+8+9+9+10+10+10= 165

165/26= 6.34615384

Average = 6.3

Median: Arrange numbers from least to greatest and eliminate one on both sides until you get a middle number:

0 , 4,4,4,5,5,5,5,5,5,5,5,6,6,6,7,8,8,8,8,8,9,9,10,10,10

The median is 6.

Step 2: Calculate range, IQR, and MAD

Range: Maximum- minimum

IQR: The IQR is the difference between Q3 and Q1.

Q1 is the middle value in the first half of the data set.

Q3 is the middle value in the second half of the data set.

MAD:

Take the average. Find the distance of each value from that mean (difference between data values and mean) , then take absolute value of that distance. Find the mean of those distances.

Range: 10-0= 10

IQR: 3

MAD (population) : 1.9378698224852

MAD (sample) : 1.9378698224852

I need help with converting this to get the answer!! Please help!! :D

Answers

Answer:

Volume of the water droplet = 0.00001 cubic meter

Step-by-step explanation:

∵ 100 centimetres = 1 meter

∴ 1 centimetre = [tex]\frac{1}{100}[/tex] meter

                       = 0.01 meter

Volume of a water droplet = 0.1 cubic centimetre

                                            = 0.1 (centimetre)³

By putting 1 centimetre = 0.01 meter

Volume of the water droplet = 0.1 (0.01 meter)³

                                                 = 0.1 × (0.01)³ meter³

                                                 = 0.1 × 0.0001 meter³

                                                 = 0.00001 meter³

Christa's distance from school is represented by y=-100x +1300.
Stephen's distance from school is represented by y= -60x +1000.
Using the slope and y-intercept from each equation, find out who lives
farther from school and who walked to school faster.

Answers

Answer:

Christa walked faster and farther than Stephen.

Step-by-step explanation:

Answer:

Step-by-step explanation:

If you think of the y-axis is the "distance" axis (in feet for example), and the x-axis as the time axis (in minutes for example), then what you have is a velocity graph (velocity is the distance traveled divided by the time it takes to get there). If you haven't moved at all, your time is 0 (ON the y-axis) and the distance value (the y-intercept) is where you started. In other words, if no time has gone by, I haven't moved from my initial position yet. So the y-intercept of both of those equations serves as the intial distance each is from school.

In the equation y = mx + b, b is the y-intercept. The y-intercept in Christa's equation is 1300 (in feet) which means that before she leaves her house for school (no time has gone by yet), her initial distance from school is 1300 feet. Likewise, for Stephen. The y-intercept in his equation is 1000, so his initial distance from school is 1000 feet. Christa lives farther away than does Stephen.

Now for the rate they are each walking...

Rate is also (sort of the same thing as) velocity. It is represented in our equation by the m. In a "regular" slope-intercept equation, this would be the slope. Slope is the rate at which something is changing. Since our graph is a velocity graph--distance over time--our slope represents the distance each covers for every minute they walk. Christa's velocity is 100 feet per minute and Stephen's is 60 feet per minute. From this we can determine that Christa walks faster because she covers more feet per minute than does Stephen.

The equations are both negative because they are shortening their distances to the school. By this I mean that as they continue walking to school and the amount of time that goes by gets greater, the distance they are from the school gets smaller.

Hope this helps you understand what linear equations actually mean to the real world!

is {(1, 2), (7, 6), (3, 2), (1, 0), (5, 6)} a relation? why?

Answers

Answer: Yes.

Step-by-step explanation: In each bracket, there is an odd and even number.

Solve the system of equations using substitution.
X = 2
4 = 2y - 6x

Answers

Answer:

-2y=-6(2)-4

-2y=-12-4

-2y/-2=-16/-2

y=8

If mArc R V = mArc V U , what is mArc V U ? 47° 52° 64° 87°hat is mArc S T?

Answers

Answer:

The answer is below

Step-by-step explanation:

In circle O, RT and SU are diameters. Circle O is shown. Line segments S U and R T are diameters. Line segment O V is a radius. Point V is between points R and U. Angle S O R is (13 x) degrees and angle T O U is (15 x minus 8) degrees. If mArc R V = mArc V U , what is mArc V U ? 47° 52° 64°  87°

Given that:

mArc R V = mArc V U, Angle S O R = 13 x degrees and angle T O U = 15 x - 8 degrees

∠SOR = ∠TOU  (Vertically opposite angles are equal). Therefore:

13 x = 15x - 8

solving by calculating the value of x to satisfy the equation: Subtracting 13x from both sides

13x - 13x = 15x - 8 - 13x

0 = 15x - 13x - 8

2x - 8 = 0

Adding 8 to both sides:

2x - 8 + 8 = 0 + 8

2x = 8

2x/2 = 8/2  

x = 4

∠SOR = 13x = 13(4) = 52°

∠TOU = 15x - 8 = 15(4) - 8 = 60 - 8 = 52°

Let a = mArc R V = mArc V U

Therefore:

mArc R V + mArc V U + ∠TOU = 180 (sum of angles on a straight line)

Substituting:

a + a + 52 = 180

2a = 180-52

2a = 128

a = 128/2

a= 64°

mArc R V = mArc V U = 64°

Answer:

C) 64 degrees

Step-by-step explanation:

just took the test on edg2020

Find the value of 5x+9y 45xy, given x = 3/5 and y =7/9.

Answers

Answer:

150

Step-by-step explanation:

5 × 3 ÷ 5 + 9 ÷ 7 × 9 × 4 × 3 ÷ 5 × 7 ÷ 5

3 + 7 × 3 × 7

3+147

150

4 friends evenly divided up an n-slice pizza. One of the friends, Harris, ate 1 fewer slice than he received. How many slices of pizza did Harris eat? Write your answer as an expression.

Answers

Answer:

m-2times 4

Step-by-step explanation:

Answer:

n/4 -1

Step-by-step explanation:

i got it from khan

expand the following 8 (3x-y)

Answers

Answer:

24x-8y

Step-by-step explanation:

8(3x-y) - distributive property

24x-8y

Answer:

24x - 8y.

Step-by-step explanation:

8(3x - y) = 8 * 3x - 8 * y = 24x - 8y

Hope this helps!

Form a cubic polynomial whose zeroes are 2, 1/3 and 1/2.

Answers

Answer:

6x³ - 17x² + 11x - 2

Step-by-step explanation:

The cubic polynomial in general form is:

ax³+bx²+cx+d = (x-x1)(x-x2)(x-x3)

zeroes are

x1=2, x2=1/3, x3=1/2

then we can get the polynomial as:

(x-2)(x-1/3)(x-1/2)=0(x-2)(3x-1)(2x-1)=0(3x²-x-6x+2)(2x-1)=0(3x²-7x+2)(2x-1)=06x³-3x²-14x²+7x+4x- 2=06x³ - 17x² + 11x - 2= 0

So the required polynomial is:

6x³ - 17x² + 11x - 2

Answer:

f(x) = 6x³ - 17x² + 11x - 2

Step-by-step explanation:

Given the zeros x = 2, x = [tex]\frac{1}{3}[/tex], x = [tex]\frac{1}{2}[/tex] then the factors ar

(x - 2), (x - [tex]\frac{1}{3}[/tex] ), (x - [tex]\frac{1}{2}[/tex] )

By equating the fractional factors to zero we can express them as integer factors, that is

x - [tex]\frac{1}{3}[/tex] = 0 ( multiply through by 3 )

3x - 1 = 0

x - [tex]\frac{1}{2}[/tex] = 0 ( multiply through by 2 )

2x - 1 = 0

Thus the factors are (x - 2), (3x - 1), (2x - 1)

The polynomial is then the product of the factors.

f(x) = (x - 2)(3x - 1)(2x - 1) ← expand last 2 factors using FOIL

     = (x - 2)(6x² - 5x + 1) ← distribute

     = 6x³ - 5x² + x - 12x² + 10x - 2 ← collect like terms

f(x) = 6x³ - 17x² + 11x - 2 ← cubic polynomial

Solve for z: 5z + x – y = 3x + 4

Answers

z = 2/5x + 1/5y + 4/5

Step 1: Add -x to both sides

Step 2: Add y to both sides

Step 3: Divide both sides by 5

Answer:

z= [tex]\frac{2x}{5} + \frac{4}{5} +\frac{1y}{5}[/tex]

Step-by-step explanation:

first get the variable z on one side by itself

5z + x – y = 3x + 4

-x                  -x

5z – y = 2x + 4

+y           +y

5z = 2x + 4+y

divide by 5 to get the answer for the variable z

5z = 2x + 4+y

[tex]\frac{5z}{5} = \frac {2x + 4+y}{5}\\[/tex]

z= [tex]\frac{2x}{5} + \frac{4}{5} +\frac{1y}{5}[/tex]

HOPE THIS HELPS:)

Each morning Rin rides 1.5 miles to school and then rides home in the afternoon. Later in the evening, she rides to the park and back home. Over the 5 school days, she rides a total of 25 miles. Which equation can be used to find the distance she rides each evening?
1.5 + x = 25
1.5 + 1.5 + x = 25
5 (1.5 + x) = 25
5 (1.5 + 1.5 + x) = 25

Answers

Answer:

Last equation given in the list of possible answers:

5 ( 1.5 + 1.5 + x ) = 25

Step-by-step explanation:

We need to include in the total addition of miles ridden during the week:

a) 1.5 miles to the school

b) 1.5 miles from school back home

c) x miles for the evening ride

so for the miles ridden per day we have: "1.5 +1.5 + x"

Now, since per week she does 5 days like this, then we need to multiply the expression above by 5 in order to total the number of miles she rides weekly (25 miles)

5 ( 1.5 + 1.5 + x ) = 25

And we can use this equation to find the amount "x" that Rin rides in the evening.

Answer:

The answer is D.5 (1.5 + 1.5 + x) = 25

Step-by-step explanation:

using the frequency table. what fraction of students passed the test

Answers

Add the frequency for 16 and above :

5 + 7 + 7 = 19

19 passed

Total students ( add all frequencies) is 30

The fraction that passed is 19/30

The zeroes of the function are . of the zeroes have a multiplicity of 2.

Answers

Answer:

The three roots have a multiplicity of 2

Step-by-step explanation:

The zeros of the function refers to those points on the x-axis on which the curve passes through

These are the points -2,0 and 4

Now we want to determine which of these points has a multiplicity of 2?

The correct answer is that all have a multiplicity of 2 since 2 can be factored out

2(-1) , 2(0) and 2(2)

Answer:

the answer is A. none

An experiment consists of tossing 3 coins at the same time. What is the probability of tossing 2 tails and 1 head?

Answers

Answer:

3/8.

Step-by-step explanation:

The probability of a head or a tail on one toss of a single coin is 1/2.

So the required probability when 3 coins are tossed of getting say 3 heads  = (1/2)*3 = 1/8.

The probabilities are multiplied because each event ( 1 coin tossed) is independent of the others.

There are  3 ways to get 2 H and 1 tail  (HHT, HTH and THH) so the answer is  3 * 1/8

= 3/8.

Answer:

3/8 or 0.375 or 37.5%

Step-by-step explanation:

You have three coins. The probability of getting a head or a tail for each coin is 1/2. So,

[tex]\frac{1}{2}[/tex] × [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{2}[/tex] = [tex]\frac{1}{8}[/tex]

There are 8 possible combinations that can come from tossing 3 coins at the same time: HHH, HHT, HTH, HTT, THH, THT , TTH , or TTT.

Every time you toss the 3 coins, there is a [tex]\frac{1}{8}[/tex] chance that you get either of these combinations. So,

[tex]\frac{1}{8}[/tex] + [tex]\frac{1}{8}[/tex] + [tex]\frac{1}{8}[/tex] = [tex]\frac{3}{8}[/tex]

The probability of tossing 2 tails and 1 head is 3/8.

Hope this helps.

This table shows values that represent a quadratic function.
x
0
1
2
3
4
5
6
y
--1
-2
5
-10
-17
-26
-37
What is the average rate of change for this quadratic function for the interval
from x = 3 to x = 5?
A. 8
B. 16
O C. -16
c
D. 8

Answers

Answer:

D

Step-by-step explanation:

The y values change by -26 - (-10) = -16 in the interval and the x values change by 5 - 3 = 2 so the average rate of change is -16 / 2 = -8.

Answer:

D. -8

Step-by-step explanation:

Risked it all for my grades.

Help is much appreciated. It is easy but, for me I am just confused.

Answers

What do you need help on ?
What is the question that you’re confused on or the thing?

Evaluate. 8−2⋅3+7 Enter your answer in the box

Answers

Answer:

9

Step-by-step explanation:

8−2⋅3+7

PEMDAS

Multiply and divide first

8−6+7

Then add and subtract

2+7

9

Answer:

9

Step-by-step explanation:

Remember to follow the order of operations, PEMDAS.  Note that PEMDAS =

Parenthesis

Exponent (& Roots)

Multiplication

Division

Addition

Subtraction

First, multiply -2 with 3:

-2 * 3 = -6

Next, follow the left -> right rule. First subtract, then add:

8 - 6 = 2

2 + 7 = 9

9 is your answer.

~

34.9 was rounded to 1 decimal place. What is the upper bound?

Answers

Answer:  34.95

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

Explanation:

The upper boundary, or upper bound, is a fence of sorts.

Note how the following values all round to 34.9, when rounding to one decimal place

34.9434.94534.94934.949934.9499934.94999934.949999934.94999999

We can keep going with the pattern of 9s at the end and whatever value you form will still round to 34.9; so you can see that there is no largest value we can reach that will round to 34.9

All of those values are slowly approaching 34.95, which is the upper fence I mentioned. We can get closer and closer to this value, but we can't actually reach it. Otherwise, 34.95 will round to 35.0

An A-frame cabin is 26.23 feet high at the center and the angle the floor makes with the base is 53. How
wide is the base?

Answers

Answer:

60.84 feet

solution,

[tex]tan \: theta = \frac{perpendicular}{base} \\ tan \: (53) = \frac{bc}{ac} \\ tan \: (53) = \frac{26.23}{ac} \\ ac = \frac{26.23}{0.4311} \\ ac = 60.84 \: feet[/tex]

Hope this helps...

Good luck on your assignment..

Hector and Francis spent a total of $47.50 at the mall. If Hector spent 50% more than Francis, how much did Francis spend at the mall? $19.00 $23.50 $28.50 $31.67

Answers

Answer:

Francis spent $19 and Hector spent $28.50

A. $19

Step-by-step explanation:

The total amount spent between the two person = $47.5

If Hector is represented by H

Francis represent by F

Therefore equation 1 = H + F = 47.5

H +F = 47.5 ..........(eqn 1)

From the question

Hector = Francis + 50% Francis

Translating this into an equation we get,

H = F + 0.5F ...... (eqn 2)

Substitute equation 2 into equation 1, we get:

(F + 0.5F) + F = 47.5

Thus 2.5F = 47.5

F = 47.5/2.5 = 19

If a varies directly as the cube root of B and if a equals to 3 when B equals to 64 find the formula connecting the variables hence find b when a equals to 15 / 4

Answers

Answer:

a=k1[tex]\sqrt[3]{B}[/tex]

B=125

Step-by-step explanation:

Given :

a=3

B=64

According to question

a ∝ [tex]\sqrt[3]{B}[/tex]

therefore

a=k1 [tex]\sqrt[3]{B}[/tex]........Eq(1)

K1=[tex]\frac{a}{\sqrt[3]{B} }[/tex]......Eq(2)

Putting the value of a and B we get in Eq(2) we get

[tex]K1=\frac{3}{4}[/tex]

Putting the value of k1 in Eq(1)

[tex]a=\frac{3}{4}\sqrt{B}[/tex] .......................Eq(3)

putting the value of a=15/4 IN Eq(3) we get

[tex]\frac{15}{4}\ =\frac{3}{4} \sqrt[3]{B} \\\\\sqrt[3]{B}\ =\ 5\\Cubing\ both\ side\ we\ get\\B=125[/tex]

Which of the following are not polynomials? Able to be more than one.
A. X-2 +X+1
B. x2/3 + v3x+1
c.2/3x-2+x+1
D. x3+0x2 + 2x + v2
E.2/x3+x+1/2

Answers

The terms that are not polynomial are x2/3 + v3x+1. The correct option is B.

What are polynomial terms?

The portions of the equation that are often separated by "+" or "-" signs are known as polynomial terms. Thus, each term in a polynomial expression is a portion of the polynomial. For instance, there will be 3 terms in a polynomial like 2 x 2 + 5 + 4 for example.

x2/3 + √3x+1 is not a polynomial term because the power is in a fraction in the polynomial term, the power is not in a fraction.

Therefore, the correct option is B. x2/3 + v3x+1.

To learn more about polynomial terms, refer to the link:

https://brainly.com/question/11536910

#SPJ1

Determine whether the results below appear to have statistical​ significance, and also determine whether the results have practical significance. In a study of a weight loss​ program, 77 subjects lost an average of 4141 lbs. It is found that there is about a 4040​% chance of getting such results with a diet that has no effect. Does the weight loss program have statistical​ significance?

Answers

Answer:

No, the weight loss program doesn't have statistical​ significance.

Step-by-step explanation:

We are given that in a study of a weight loss​ program, 7 subjects lost an average of 41 lbs.

It is found that there is about a 40% chance of getting such results with a diet that has no effect.

Firstly, statistical significance means that the event is sure to be happen and there is a proper statistical calculation behind it.

But here it is stated that there is a 40​% chance of getting such results with a diet that has no effect which means that the event is unlikely to happen by chance and it is just a prediction so, the weight loss program is not statistically significant.

Now, practically significant means that there is a large difference in the subjects being tested.

Here, the weight loss program is considered to be practically significant because there is a large amount of weight loss of 43 lbs of the subjects which is a large amount.

please help find the correct solutions for the equations below 2x+20=-3x-25 x= -7x+14=4x- 19 x= 10x-3=-5x-18 x= answers 8 5 6 24 -1 -9 20 3 10 -2

Answers

Answer:

I think its 8

Step-by-step explanation:

Two researchers select a sample for a population with a mean of 12.4 and a standard deviation of 9. Researcher A selects a sample of 25 participants. Researcher B selects a sample of 15 participants. Which sample is associated with a larger standard error

Answers

Answer:

researcher B with 15 participants will be associated with a larger standard error

Step-by-step explanation:

Standard error can be expressed mathematically as;

E = zr/√n ......1

Where

z = z value of test statistics

r = standard deviation

n = number of samples

From equation 1, given that the standard deviation and the z value for the two researchers are thesame, then we can say;

E = zr/√n

E = k/√n

E1/E2 = √(n2/n1)

n1 = 25

n2 = 15

E1/E2 = √(15/25)

E1/E2 = 0.774596669241

E1 = 0.77E2

Therefore, E1 is less than E2

E1 < E2

And also the larger the number of samples the lower the standard error.

Since researcher B have a lower number of samples it will have a larger standard error.

So, researcher B with 15 participants will be associated with a larger standard error

write an equation to represent the cost of printing photos (C) in terms of the number photos printed (P)

(use picture for the information)

PLEASE answer asap! it will be appreciated.

Answers

Answer: C=0.20p

Step-by-step explanation:

As you could see if you print 10 photos you will have to pay 2 dollars which means if you print 1 photo you will have to pay 20 cents.

Other Questions
The Immigration Restriction League: Group of answer choices wanted to bar immigrants under the age of eighteen. wanted to bar immigrants who were illiterate. was founded by new immigrants. wanted to end all immigration. called for increased immigration from Asia. Calculate the wavelength in meters of electromagnetic radiation that has a frequency of 1.09 10 s. (c = 3.00 X 10 m/s) Pablo purchased adult and youth tickets for the football game. He bought x adult tickets for $74 each and y youth tickets for $35. Write an expression that can be used to show the total cost, C, of all tickets. A grocer wants to make a 10-pound mixture of peanuts and cashews that he can sell for $4.75 per pound. If peanuts cost $4.00 per pound and cashews cost $6.50 per pound, how many pounds of cashews should he use? Modern day rockets were most influenced by the: use of nuclear fusion development of SCUBA creation of the telescope use of liquid fuel Give 2 ways in which the products of anaerobic respiration in yeast are useful to humans, Find the force on a proton moving with velocity (2i+3j+4k)10^5m/s in a uniform magnetic field of 0.5k T. What is the angle between the magnetic field lines and the velocity? Contemporary researchers focus on how entrepreneurs________ a. build a tolerance for uncertainty b. think and act c. develop a desire for achievement d. develop an affinity for taking risks summary for chapters 31-32 in green ember Four forces act on bolt A as shown; F1 150N, F2 80N, F3 110N and F4 100N. Determine the magnitude and direction of the resultant of the forces of the bolt, A. English Grammar SentencesQuestion 21 pts1. A-black widow spider bite is painful.It can be deadlyF. A black widow spider bite is painful, forit can be deadly.G. A black widow spider bite is painful anddeadly.H. A black widow spider bite is painful,and it can be deadly.J. A black widow spider bite is painful, soit can be deadly. Match each of these works with its artist.Piero dellaFrancesca2Flagellation of ChristPieter Bruegelthe Elder?Virgin of the RocksLeonardo daVinci?The Peasant Dance What is the one single most important reason that human impact on the planet has been so great? Consumption expenditures $800Investment expenditures 200Government purchases 300Exports 100Imports 200Wages 800Refer to Table above. Consider the data above (in billions of dollars) for an economy: Gross domestic product (in billions of dollars) for this economy equalsA) $2,200.B) $1,600.C) $1,400.D) $1,200 1. Consider the following information about three stocks: State of Economy Probability of State of Economy Rate of Return If State Occurs Stock A Stock B Stock C Boom .25 .21 .36 .55 Normal .60 .17 .13 .09 Bust .15 .00 .28 .45 a. If your portfolio is invested 40 percent each in A and B and 20 percent in C, what is the portfolio expected return? The variance? The standard deviation? b. If the expected T-bill rate is 3.80 percent, what is the expected risk premium on the portfolio? c. If the expected inflation rate is 3.50 percent, what are the approximate and exact expected real returns on the portfolio? What are the approximate and exact expected real risk premiums on the portfolio? What, in Lincoln's view, were the founding idealsof the nation?All men are created equal.The nation must fight civil wars occasionally.The nation will not survive for a long time. Which of the following shows the intersection of the sets? {1, 5, 10, 15} {1, 3, 5, 7} Can someone help me with this question please. Frank is going to an amusement park that costs $36.00 for admission. Treats cost $4.00 each. Frank does not want to spend more than $52.00 in all.Solve for x, where x equals the number of $4.00 treats Frank can buy.A. x=3B. x>4C. x4D. x PLEASE HELP ASAP FOR ALGEBRA 1 Mr Reder has just robbed a bank and is trying to escape on foot. He is currently 3 miles from the bank and running at 5 miles per hour. Write an equation to model how far from the bank Mr Reder is after a certain amount of time has passed. How far has he gone after 3 hours? Draw an appropriate graph for this equation.