Which equation represents the line that is parallel to 5x + y = 13 and
passes through the point (15, - 31)?

Which Equation Represents The Line That Is Parallel To 5x + Y = 13 Andpasses Through The Point (15, -

Answers

Answer 1

Answer:

y=-5x+44

Step-by-step explanation:


Related Questions

Which of the following points is a solution to y ≤ −2x + 3?
above; y = 2x − 2
below; y = 2x − 2
above; y = −2x + 2
below; y = −2x + 2

Answers

Answer:

d; below; y = −2x + 2

Step-by-step explanation:

the equality  ≤  means left to right that y is equal or less than. We see that 2 is equal or less than 3.

We check the resulting equation also and see that if we +3 it = 1 and if we +2 it equals 0 so we know +2 in answer format can be less than also. But with questions we are measuring the units and +2 is less than +3.

Answer:

B (1,0) hope this helps :)

A survey was done of 160 households to find out if they watch cable television, internet television, or
both. Of the 160 households, 109 watched cable television, 88 watched internet television, and 7
watched neither. If a household was selected randomly, what would be the probability that they
watched both cable and internet television?
1) 0.175
2) 0.275
3) 0.375
4) 0.475​

Answers

Answer: 2) 0.275

Step-by-step explanation:

Total households = 160

Watch Cable TV: 109

Watch internet TV: 88

Watch neither: 7

We want to find the number that watch both of them.

Now, the total number of housholds that watch at least one thing is:

160 - 7 = 153.

Now, if we add the number that watch by cable and the number that watch by  internet we have:

109 + 88 = 197

The difference is:

197 - 153 = 44

This means that we have 44 households that watch both things.

This is because we are counting those 44 in the 109 for cable and also in the 88 for internet (because they watch both) and this is why we have a surpass.

Then the number that watch both things is 44, then the probability that a random household watched both things is equal to:

P = 44/160 = 0.275

The correct option is 2

Question 3
the figure needs solving help

Answers

Answer:

ABC = 60

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

ACD = B+ A

100 = 40 + B

Subtract 40 from each side

100-40 = 40+B -40

60 = B

ABC = 60

Answer:

60°

Step-by-step explanation:

Write an absolute value expression to represent the distance between -1 and -6 on a number line. then evaluate the expression.

Answers

Answer:

5.

Step-by-step explanation:

That would be |-1 - (-6)|

= |-5|

= 5.

help please very confused.

Answers

Answer:

12.

Step-by-step explanation:

Replace k in the radical by -2:

So we have √(-72*-2)

= √144

= 12.

Answer:

12

Step-by-step explanation:

[tex]\sqrt{-72(-2)} = \sqrt{144} = 12[/tex]

For what values of m, the relation K= {(2.3m + 45, 0), (−67m − 8.9, 0)} is a function?

Answers

Answer:

The relation is a function for all m-values different than -53.9/69.3

Step-by-step explanation:

If the relation is a function, then we can say that

[tex]2.3m+45\neq -67m-8.9[/tex]

Solving for [tex]m[/tex], we have

[tex]2.3m+67m\neq -8.9-45\\69.3m \neq -53.9\\m \neq - \frac{53.9}{69.3}\\[/tex]

Therefore, the relation is a function for all m-values different than -53.9/69.3

Circle X is shown. Points W, Y, and Z are on the circle. Lines are drawn through each point on the circle.
Which point is the center of the circle?

point W
point X
point Y
point Z

Answers

Answer:

Its point X

Step-by-step explanation:

Just did it on edge 2020

The point that is the center of the circle is point X

How to determine the center?

The circle is given as:

Circle X

A circle is named after its center.

This means that the center of circle X is X

Hence, the point that is the center of the circle is point X

Read more about circles at:

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Evaluate f(a) = 6a2 - 38a + 4 for a = 6.

Answers

Answer:

Just plug in 6 for a.

6 * 6² - 38 * 6 + 4 = -8.

The correct answer is -8

A graph of average resting heart rates is shown below. The average resting heart rate for adults is 72 beats per
minute, but doctors consider resting rates from 60-100 beats per minute within normal range.
Average Resting Heart Rate by Age
120-
10.112)
100-
80
Heart Rate (beats/min)
(20,72)
(50,72)
40-
20
0 10 20 30 40 50 60
Age (years)
Which statement about average resting heart rates is not supported by the graph?
1) A 10-year-old has the same average 3) A 40-year-old may have the same
resting heart rate as a 20-year-old.
average resting heart rate for ten years.
2) A 20-year-old has the same average 4) The average resting heart rate for
resting heart rate as a 30-year-old.
teenagers steadily decreases

Answers

Answer:

Option (1)

Step-by-step explanation:

Characteristics of the graph attached,

1). Heart rates of the teenagers (0 to 20 years) varies from 112 beats per minute to 72 beats per minute.

2). Heart rates of the adults (20 years to 50 years) remains constant (72 beats per minute)

Option 1). Since average resting heart rate of the teenagers decreases from 0 to 10 years, so at the 20 years of age heart rate will be less than a teenager of 20 years.

Therefore, statement is not supported by the graph.

Option (2). A 20-year-old has the same average resting heart as at 30-year-old. [True]

Therefore, this option is supported by the graph.

Option (3). A 40-year-old may have the same average resting heart rate for 10 years.

[True]

Therefore, this statement is supported by the graph.

Option (4). The average resting heart rate for teenagers steadily decreases.

[True]. There is a linear decrease in the teenagers heart rate shown in the graph.

Therefore, the given statement is true and supported by the graph.

Option (1) will be the answer.

Select the correct answer.

Why would someone choose to invest rather than depend only on savings?

A.
An investment account provides regular income, while money held in a savings account may decrease.
B.
An investment account has the potential to earn more money than a savings account.
C.
An investment account has a fixed maturity date, but a savings account doesn’t.
D.
There’s less risk of losing money held in an investment account than in a savings account.

Answers

Answer:

B.

An investment account has the potential to earn more money than a savings account.

Answer:

B. An investment account has the potential to earn more money than a savings account.

Step-by-step explanation:

Neither saving nor investing is better than the other, choosing depends on your present financial position.

WILL MARK BRAINLIEST ANSWER
You are a judge and the following case have come before you. Apply the Rule and make a decision as to whether these "vehicles" can drive through the park. Explain your reasoning.
An ambulance has a dying car accident victim in it and is racing to the hospital. The shortest route is through the park, so the ambulance drives through.

Answers

Well, my decision would be to let these kinds of vehicles like ambulances, police cars, fire-fighter trucks, etc., drive through the park. The reason I'd decide to let these vehicles drive through the park is because, well, you never know if someone is in critical danger and needs urgent assistant. If the shortest route to get to the person is through the park, it'd be reasonable and understandable because you don't want that person do get hurt do you?

so sorry if I went a bit off. Although, I hope this helped, have a great day!

(Also can i have brainliest by any chance? ' - ')

someone please help me !!!

Answers

Answer:

x = 120°

Step-by-step explanation:

The equation is given to you:

The sum of the interior angles can be found using the equation:

Sum = (n - 2)180

Note that:

n = # of sides.

Plug in 6 for n in the equation.

∑ = (6 - 2)180

First, solve for the parenthesis:

∑ = (4)180

Next, multiply:

∑ = 4 * 180

∑ = 720

You are solving for one angle. Note that there are 6 angles. Divide the sum of the angles with 6:

720/6 = 120

120° is your answer.

~

Answer:

the answer is 120 degrees

please, someone, answer this asap; mean median mode and range:
1)Use the data to calculate the mean. 24, 31, 12, 38, 12, 15 *
22
12
26

2) Use the data to calculate the median. 24, 31, 12, 38, 12, 15 *
19
19.5
20

3) Use the data to calculate the range. 24, 31, 12, 38, 12, 15 *
24
38
26

4) Use the data to calculate the mode. 24, 31, 12, 38, 12, 15 *
12
24
38

5) the mode represents the number that appears the least *
True
False

6) To calculate the range we use the highest and lowest number ? *
True
False

7) Average is another word for *
mode
range
mean
median

8) the range indicates the middle number ? *
True
False

9) which statement best describes the mean. *
add all the numbers and divide by the total number of numbers
highest minus lowest
number that appears the most

10) A data set with two modes is known as *
no modes
bimodal
multimodal



Answers

Answer:

1) 22

2) 19.5

3) 26

4) 12

5) False

6) True

7) Mean

8) False

9) Add all the numbers and divide by the total number of numbers

10) Bimodal

Step-by-step explanation:

1)Use the data to calculate the mean. 24, 31, 12, 38, 12, 15 *

To calculate mean you add all the numbers up and divide by the total number of numbers.

[tex]\frac{24 + 31+12+38+12+15}{6} = 22[/tex]

2) Use the data to calculate the median. 24, 31, 12, 38, 12, 15 *

For median, arrange the numbers from lowest to largest

12, 12, 15, 24, 31, 38

use (n+1) / 2 to figure out which value is the median

(6+1) / 2 = 3.5 (median is in between the 3rd and 4th value)

(15+24) / 2 = 19.5

3) Use the data to calculate the range. 24, 31, 12, 38, 12, 15 *

Range is max value - min value

38 is max and 12 is min

38 - 12 = 26

4) Use the data to calculate the mode. 24, 31, 12, 38, 12, 15 *

Mode is the value that appears most frequently

In this case 12 appears 2 times, therefore it is the mode

5) the mode represents the number that appears the least *

False, mode is the number that appears the most

6) To calculate the range we use the highest and lowest number ? *

True

7) Average is another word for *

mean

8) the range indicates the middle number ? *

False, range is the max value - min value

9) which statement best describes the mean. *

add all the numbers and divide by the total number of numbers

10) A data set with two modes is known as *

bimodal

___________________________________

hey!!

Given data=24,31,12,38,12,15

summation fX=132

N(total no.of items)=6

Now,

Mean=summation FX/N

=132/6

=22

2. Arranging the data in ascending order

= 12,12,15,24,31,38

N=6

Median=(N+1/2)th item

= (6+1/2) th item

=(7/2)th item

=3.5 th item

Again,

median=3 rd item + 4th item/2

=15+24/2

= 39/2

=19.5

3.Range= highest score- lowest score

=38- 12

=26

4. Mode= 12 because it has more frequency.

______________________________________

Answers:2219.5 26 12FalseTrueMeanFalseadd the numbers and divide by the total number of numbers bimodalHope it helps...

Good luck on your assignment

________________________________

If the model was built using a 1-to-64 scale, and the length of the model is 10.5 inches, What is the length of the actual tractor in feet?

Answers

Answer:

The length of the actual tractor is:

56 feet.

Step-by-step explanation:

Firstly, you must know the conversión between inches and feet:

1 foot = 12 inches

Or

1 inch = 0.0833333 feet

How the paragraph says that the scale is 1 to 64, it means by each unit in the scale, the unit in the actual tractor is 64 times bigger, so, you must multiply the measure of the model by 64 to obtain the actual length in inches:

Length of the actual tractor = 10.5 inches * 64 = 672 inches

The paragraph says the length must be in feet, so we must apply the conversion given above in a simple rule of three how I'll show below:

1 foot = 12 inchesx = 672 inches

And we operate:

x = (672 inches * 1 foot) / 12 inches

After we cancel the unit "inches:"

x = 672 feet / 12x = 56 feet

For this reason, we obtain the final value of 56 feet to the actual length of the tractor.  

Martin was given this expression to simplify: 23x + xy – y + 3y + 5 – 20x + 6xy He simplified the expression to: 43x + 7xy −3y What were Martin’s errors? Check all that apply. The combined coefficients of the x terms should be 3x, not 43x. The 7xy should be –7xy. The coefficients of the y terms have been multiplied. When you combine like terms, you add or subtract the coefficients. The constant was left off. The terms xy and 6xy are not like terms because there are two variables.

Answers

Answer:

Step-by-step explanation:

23x + xy - y + 3y + 5 - 20x + 6xy = 23x - 20x + xy  + 6xy -y + 3y + 5

                                                     = 3x + 7xy + 2y + 5

Errors:1) The combined coefficients of the x terms should be 3x, not 43x

2) The coefficients of the y terms have been multiplied.

3) The constant was left off.

Answer:

1,3,4

Step-by-step explanation:

What is the maximum value of the function y = 5cos2x ?
(1) 5 (2) 2 (3) -5 (4) -2

Answers

Answer:

3. -5

Step-by-step explanation:

Find the area of a 1/4 circle with a diameter of 8

Answers

Answer:

[tex]12.57units^2[/tex]

Step-by-step explanation:

[tex]\\A=1/4\pi r^2\\=1/4\pi 4^2\\=4\pi \\4\pi =12.56637\\12.57units^2[/tex]

Answer:

12.57

Step-by-step explanation:


AABC is translated 6 units up and 3 units left to create
AA'B'C'. If vertex A is located at (-1, 2), what are the
coordinates of A'?
(5-1)
(-4, 8)
(2, -4)
(-7, -1)

Answers

Answer:

-4,8

Step-by-step explanation:

If vertex A is located at (-1, 2) then the coordinates of A' is

What is Translation?

A translation only moves a shape up, down, or from side to side; it has no effect on how it appears. One illustration of a transformation is translation. A transformation is a technique for moving or repositioning a shape. Every point in the shape is moved in the same direction and by the same amount.

We have,

The triangle is translated 6 units up and 3 units left.

If vertex A is located at (-1, 2).

To Translate 6 units up we have to add 6 to the y coordinate.

and, to translate 3 units left we have to subtract 3 from the x coordinates.

So, the coordinates after translation is

A (-1,2)  -->  A' (-4,8)

B (1,5)  -->  B' (-2,11)

Learn more about Translation here:

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ESTIMATED AND EXACT ANSWERS. Find the answers to these division problems. Use
compatible numbers to check your answer's accuracy. Look back to Lesson Three if you need
help with compatible numbers. (2 points each)
10. 903.6 - 25.1
Exact Answer:
Estimate:
11. 760.38 +0.38
Exact Answer:
Estimate:

Answers

Answer

10) 36

11)2001

Step-by-step explanation:

Answer:

10. 36 (exact answer), 30 or 30.16 (estimated answer).

11. 2001 (exact answer), Undefined, or 1900 (estimated answer).

Step-by-step explanation:

For number 10, the exact answer is 36 and the estimated is 30 or 30.16. Why?

-To have the exact answer we have to divide 903.6  ÷ 25.1 = 36.  

-To have the estimated answer we have to round 903.6 and 25.1, as 903.6 is close to 900 and not 1,000, and 25.1 is close to 30 and not to 20. The equation is 900  ÷ 30 = 30.

-To make sure that the exact answer is correct, we have to multiple 25.1 and 36 = 903.6.

-To make sure that the estimated answer is correct, we have to multiple 30 and 30 = 900.

-But there's a problem, they can be two answers for the estimated answer 1). 30, and 2). 36.16. Process: 904 ÷ 25 = 36.16. Why? As they are decimal points, it may be that we have to round them but not the whole number, but the question doesn't specify how we have to round them, so I'm not so clear about it.

For number 11, the exact answer is 2001 the estimated is 1900 or Undefined. Why?

-To have the exact answer we have to divide 760.38  ÷ 0.38 = 2001.

-To have the estimated answer for the undefined we have to round 760.38 and 0.38, as 760.38 is close to 800 and not to 700, and 0.38 is close to 0 (0.00) and not to 1 (1.00). The equation is 800 ÷ 0.00 = Undefined.

-To make sure that the exact answer is correct, we have to multiple 2001 and 0.38 = 760.38.

-But there's a problem, they can be two answers for the estimated answer 1). Undefined, and 2). 19. Process: 760  ÷ 0.40 = 1900. Why? As they are decimal points, it may be that we have to round them but not the whole number, but the question doesn't specify how we have to round them, so I'm not so clear about it.

Help please! Will give brainly! Explain how the equation y=x^2 differs from the equation y=x
(Hint: plug in z= 1, 2, 3, 4, 5, and explain how the answers differ.)

Answers

Answer:

Below.

Step-by-step explanation:

[tex]y=x^2[/tex] is also [tex]y = x*x[/tex]

It will differ for any x besides 1 and 0 because you're multiplying x by itself, which makes the answer greater.

But, it's the same for 1 and 0 because they equal each other when you square them.

Can anyone please help me with this?

Answers

Answer:

point - slope form: y+1 =2(x+2)

slop - intercept form:  y =2x +3

standard form : 2x -y = -3 or -2x+y = 3

Step-by-step explanation:

find slope from given points using slope formula y₂ -y₁ / x₂ -x₁

slope m =5-(-1)/1-(-2) =6/3 =2

point - slope form is y - y₁ =m (x - x₁) where x₁ and y₁ are coordinates of one of the given points so

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

y+1 =2(x+2)

slop - intercept form is y =mx +b where m is a slope and b is y intercept

now if you rearrange y+1 =2(x+2) as y =......

y+1 =2(x+2) → y+1=2x+4 → y = 2x+4-1 → y =2x +3

standard form is Ax +By = C where A,B,C are numbers; then by rearranging the equation again, it will be

2x -y = -3

graphing is done by using  slop - intercept form:  y =2x +3

pick 2 points and draw the line; use given points

In the figure below an angle that is supplementary to angel FAB is:

Thank you if you could help me <3 It’s geometry

Answers

Answer:

CAB

Step-by-step explanation:

Angle CAB and Angle FAB together make 180 degrees(straight angle) . A supplementary angles equal to 180 degrees.

Harry is installing a surveillance camera at the entrance of a Deli. He mounts the camera 8ft above the ground and 16 ft horizontally from the entrance. The camera is meant to monitor every customer who enters and exits the store. At want angle of depression should Harry set the camera to capture the faces of all customers? Use a diagram and mathematical calculations to help you explain your answer.

Answers

Answer:

The angle of depression is found.

θ = 26.56°

Step-by-step explanation:

Let point A be the entrance of a Deli.

Let point C be the location of camera.

Let point B be the horizontal distance from entrance to the camera.

It forms a right angled triangle. where Base = 16 ft and Perpendicular = 8 ft.

Let θ be the angle of depression at point B which is always equal to the angle of elevation at point A.

Using tan θ

[tex]tan\theta= \frac{Perpendicular}{Base}\\tan\theta=\frac{8}{16}\\\theta=tan^{-1}\frac{8}{16}\\\theta=26.56^\circ[/tex]

What is the value of n?
1339

142"
A. 470
B. 810
C 389
D. 850

Answers

Answer:

D

Step-by-step explanation:

The sum of all exterior angles of a triangle is 360° so n + 133 + 142 = 360 and n = 85°.

Answer:

it is 85

Step-by-step explanation:

133+142=275

360-275=85

TRUE OR FALSE?
Picture below

Answers

Answer:

True.

Step-by-step explanation:

If we were to simplify both fractions down to their simplest form, we would get:

[tex]\frac{3}{9} = \frac{1}{3}[/tex]

[tex]\frac{5}{15} = \frac{1}{3}[/tex]

Therefore, the two ratios do form a proportion. Both are equivalent to [tex]\frac{1}{3}[/tex] when in simplest form.

Help asap plz, dhdbhdhf

Answers

Hi there!

The angle measure of 3 is 140 degrees.

4 and 3 may not be in congruent spots but 4 and 2 are. Remember two of these angles next to each other equal 180 degrees. If 2 is also 40 degrees than 180 - 40 = 140. Alternate angles are equal meaning 3 is 140 degrees.

Hope this helps !

In a sequence, the first term is 4 and the common
difference is 3. The fifth term of this sequence is
1) -11
2) -8
3) 16
4) 19

Answers

Answer:

16

Step-by-step explanation:

Apply the arithmetic series formula, with A=4, d=3 and n=5 as n represents the number of terms.

An = A+(n-1)d

This shows that: A5 = 4+ 4(3) = 16.

Fifth term of the arithmetic sequence is 16.

What is arithmetic sequence?

"Arithmetic sequences are ordered sets of numbers that have a common difference between each consecutive term."

Given

First term a1 = 4

Common difference d = 3

n = 5

Formula to find fifth term in the arithmetic sequence

[tex]a_{5} = a_{1} +(n-1)d[/tex]

[tex]a_{5}= 4+(5-1)3[/tex]

[tex]a_{5}= 4+(4)3[/tex]

[tex]a_{5}= 4+12[/tex]

[tex]a_{5}= 16[/tex]

Hence, fifth term of the arithmetic sequence is 16.

Learn more about arithmetic sequence here

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Ishmail jogs around a track that is in the shape of a regular pentagon. One side of the pentagon is ¼ mile long. How far does Ishmail jog if he completes 6 laps around the track?

If the track was a hexagon, how far would Ishmail jog in 6 laps?

Answers

Answer:

Ishmail will  jog 7 1/2=7.5 miles if he completes 6 laps around the track if the track is pentagon.

Ishmail will  jog 9 miles if he completes 6 laps around the track, if the track is hexagon .

Step-by-step explanation:

length of one side of pentagon = 1/4 miles

we know that number of sides of pentagon = 5

thus, total length of pentagon = number of sides * length of one side of pentagon = 5* 1/4 = 5/4

If anyone takes 1 lap of pentagon he will travel 5/4 miles

then,If anyone takes 1*6 lap of pentagon he will travel (5/4)*6 miles

thus, in 6 laps 15/2 miles will be traveled.

Ishmail will  jog 15/2 ( 7 1/2 )miles if he completes 6 laps around the track.

_______________________________________

we know that number of sides of hexagon = 6

thus, total length of hexagon = number of sides * length of one side of hexagon = 6*( 1/4) = 3/2 miles

If anyone takes 1 lap of hexagon he will travel 3/2 miles

then,If anyone takes 1*6 lap of hexagon he will travel (3/2)*6 miles

thus, in 6 laps, 9 miles will be traveled.

Ishmail will  jog 9 miles if he completes 6 laps around the track.

What is the length of BC in the right triangle below?

Answers

Answer:

15

Step-by-step explanation:

Look at the attachment

The answer will be E

using graphing paper,determine the line described by the given point and slope
click to show the correct graph below (0,6) and -1​

Answers

Answer:

-3, -2

count the lines based on the x-axis and y-axis

remember that the x-axis comes before the y-axis

please mark me as brainliest :)

Answer:Answer:

-3, -2

count the lines based on the x-axis and y-axis

remember that the x-axis comes before the y-axis

please mark me as brainliest :)

Step-by-step explanation:

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please but this equation in function form, 15+3y=-24x and what is funciton form? The decay of a radioactive material is monitored using a Geiger counter. At the start, the count rate is 2000 decays/minute. Four hours later the decay rate is 500 counts/min. What is the half-life of the material? what is the effect of deforestation on quantity of oxygen gass? pretty pretty please helppp literally all my pointsHow did Alexander the Great help spread Hellenistic culture?a) Persian officials spread Hellenistic culture after Persia conquered Alexanders empire.b) He sent religious ambassadors to neighboring empires.c) Nearby Barbarian tribes adopted and spread Greek culture.d) Alexanders armies introduced Hellenistic culture to local populations as they conquered new lands. A college basketball player makes 80% of his freethrows. Over the course of the season he will attempt 100 freethrows. Assuming free throw attempts are independent, the probability that the number of free throws he makes exceeds 80 is approximately:____________.A) 0.2000B) 0.2266C) 0.5000D) 0.7734 perimeter.6) A quadrilateral can have 2reflex angles. What makes a source more reliable If 4u-5v=23 and 2u+4v=-8, find the value of u+v Simplify (x^4y)^3.x^12y^3x^4y^3x^7y^3 Why are fats considered as high energy compounds?What is the function of mRNA?What is the general formula for amino acids? A subatomic particle created in an experiment exists in a certain state for a time of before decaying into other particles. Apply both the Heisenberg uncertainty principle and the equivalence of energy and mass to determine the minimum uncertainty involved in measuring the mass of this short-lived particle. Please help as quick as possible Wattan Company reports beginning inventory of 10 units at $60 each. Every week for four weeks it purchases an additional 10 units at respective costs of $61, $62, $65, and $70 per unit for weeks 1 through 4. Compute the cost of goods available for sale and the units available for sale for this four-week period. Assume that no sales occur during those four weeks. An investor is deciding whether to build a retail store. If she invests in the store and it is successful, she expects a return of $100,000 in the first year. If the store is not successful, she will suffer a loss of $80,000. She guesses that the probability that the store will be a success is 0.6. To remove some of the uncertainty from this decision, the investor tries to establish more information, but this market research will cost $20,000. If she spends this money, she will have more confidence in her investment. There is a 0.6 probability that this information will be favorable; if it is, the likelihood that the store will be a success increases to 0.9. If the information is not favorable, the likelihood that the store will be a success reduces to only 0.2. Of course, she can elect to do nothing. A) Draw the associated decision tree. B) What do you recommend? C) How much is the information worth? Replace all the monetary values with the following utilities Monetary Value Utility $100,000 1.00 $80,000 0.40 $0 0.20 -$20,000 0.10 -$80,000 0.05 -$100,000 0.00A) What do you recommend, based on expected utility?B) Is the investor a risk soeker or a risk avoider? Mrs. Whitlow gives her dog, Ekon, a weekly allowance to spend on treats. This week, Ekonreceived $2.20 in nickels and dimes. If there is a total of 26 coins, how many of each coin didEkon get?(Solve using systems of linear equation) What is the volume of a cone with a height of 27 cmand a radius of 13 cm? Round your answer to thenearest tenth.V= A flexible cable always hangs in the shape of a catenary curve y = c + a cosh(x/a), where cand a are constants, a > 0. Suppose a telephone line hangs between two poles 18 meters apart, in the shape of the catenary y = 30 cosh(x/15) - 4, where x and y are measured in meters. a. (3 pts.) Find the slope of this curve where it meets the right pole. (Round to 3 decimal places.] b. (3 pts.) Find the angle between the line and the right pole. [Give your answer in degrees, rounded to the nearest hundredth.) Expert Answer Many early descriptions and modern popular depictions portray Neandertals as particularly primitive in comparison to anatomically modern humans. Summarize the various aspects of Neandertal behavior and culture that strongly counter the assumption that they were simplistic, cognitively deficient evolutionary failure. There are 5 bacteria in a petri dish at the start of anexperiment. This type of bacteria doubles every 20minutes.Find the number of bacteria after 4 hours.4010,24020,48040,960 128 less than a number is 452