will mark as brainliest:)

The function for the cost of materials to make a hat is f(x) = 1/2x + 1, where x is the number of hats. The function for the selling price of those hats is g(fx)), where g(x) = x + 2. Find the selling price of 10
hats.

Answers

Answer 1

Answer:

8 dollars

Step-by-step explanation:

f(10)=6

g(6)=8

8 dollars


Related Questions

Juan ran the lemonade stand for 3 more days after his first day profit of $12. Each day, he used the money from sales to purchase more lemons, cups, and sugar to make more lemonade. The table shows how much he spent and earned each day. What is the expression needed to find his total earnings?

Answers

Answer:

16-7+22-12+18-9

The correct answer is $28

Step-by-step explanation:

Thanks

The expression that uses adding the additive inverse to rewrite the expression is 16 + (–7) + 22 + (–12). Therefore, option C is the correct answer.

The given expression 16 – 7 + 22 – 12.

We need to rewrite the expression needed to find his total earnings.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The additive inverse of a particular number refers to the number that when the added will to the number will be equal to 0.

Now, based on the information given in the question, the additive inverse will be 16 + (–7) + 22 + (–12).

Therefore, option C is the correct answer.

To learn more about an expression visit:

https://brainly.com/question/28170201.

#SPJ2

Your question is incomplete, probably the complete question/missing part is:

Juan ran the lemonade stand for 3 more days. Each day, he used the money from sales to purchasing more lemons, cups, and sugar to make more lemonade. On day 2, he earned $16 and spent $7 on supplies. On day 3, he earned $22 and spent $12. The expression 16 – 7 + 22 – 12 can be used to model the situation for these 2 days.

Identify the expression that uses adding the additive inverse to rewrite the expression.

–16 + (–7) + (–22) + (–12)

–16 + 7 + (–22) + 12

16 + (–7) + 22 + (–12)

16 + (–7) + 22 + 12

Solve the following equation.
Round to the nearest TENTH
-3.7 - 9.7x = 7x – 5.2

Answers

Answer:

x=0.1

Step-by-step explanation:

-3.7-9.7x=7x-5.2

-3.7+5.2=7x+9.7x

1.5=16.7x

x=0.08982

x=0.1

-3.7 - 9.7x = 7x - 5.2

-9.7x - 7x = - 5.2 + 3.7

-16.7x = -1.5

x = -1.5/-16.7

x=0.8982

x=0.1 ✔️


Kyle is a salesman. His monthly earnings include a fixed monthly salary and a commission that is a fixed percentage of his total sales for the month. Kyle’s total sales for the month of January were $10,000, and his total earnings for that month were $1,350. Kyle’s total sales for the month of February were $15,000, and his total earnings for that month were $1,575. What is Kyle’s fixed monthly salary in dollars?

Answers

Answer:

  $900

Step-by-step explanation:

Kyle's commission on an extra $5000 in sales was ...

  $1575 -1350 = $225

So, his commission on $10000 in sales would be ...

  $225 × 2 = $450

Since $450 of Kyle's first month's sales was commission, his base salary was ...

  $1350 -450 = $900 . . . . Kyle's fixed monthly salary

4(x-2+y) what is this for the distributive property​

Answers

Answer:

4x + 4y - 8

Step-by-step explanation:

4(x - 2 +y) = 4*x -4*2 + 4*y by the distributive property

Convert 2676 cm into inches (1 in = 2.54 cm)

Answers

Answer:

1053.543 in

Step-by-step explanation:

I divided the length value by 2.54

Answer:

1053.5 in

Step-by-step explanation:

                      1 in

2676 cm  x ------------   =  1053.5 in

                    2.54 cm

If the line L has a slop of 0, which of the following could be the graph for L? ​

Answers

Answer:

Graph A

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Since we are dealing with a slope of zero, we replace m with 0:

y = 0x + b

y = b

Here, we see that we would have a horizontal line. Therefore, graph A would be our answer.

Answer:

A

Step-by-step explanation:

A slope of zero is a horizontal line, because it does not change vertically

A would be the graph of a line with a slope of zero

Two objects were lifted by a machine. One object had a mass of 2000 grams, and was lifted at a speed of
2 m/sec. The other had a mass of 4000 grams and was lifted at a rate of 3 m/sec.
a. Which object had more kinetic energy while it was being lifted?

Answers

Answer:

The second object (4000 grams) had more kinetic energy

Step-by-step explanation:

Use the equation KE = 0.5mv², where m is the mass and v is the velocity.

Find the kinetic energy of the first object:

KE = 0.5(2000)(2 m/s)²

KE = 4000 J

Find the kinetic energy of the second object:

KE = 0.5(4000)(3 m/s)²

KE = 18000 J

So, the second object (4000 grams) had more kinetic energy.

The second object of mass 4000 grams will have more kinetic energy than the first mass.

What is kinetic energy?

The energy that an object has as a result of motion is known as kinetic energy. It is described as the effort required to move a mass-determined body from rest to the indicated velocity.

Use the equation KE = 0.5mv², where m is the mass and v is the velocity.

The kinetic energy of the first object:

KE = 0.5(2000)(2 m/s)²

KE = 4000 J

The kinetic energy of the second object:

KE = 0.5(4000)(3 m/s)²

KE = 18000 J

Therefore, the second object (4000 grams) had more kinetic energy.

To know more about kinetic energy follow

https://brainly.com/question/25959744

#SPJ3

please help Which of these numbers is equivalent to 2.4×10 to the 5 power? A. 2,400 B.24, 000 C. 240,000 D. 2,400,000

Answers

Answer:

C

Step-by-step explanation:

● 2.4 × 10^5

10^5 is 100000

● 2.4 × 100000

● 240 000

Answer:

C. 240,000

Step-by-step explanation:

This question is about using scientific notation.

In order to solve these types of questions, you move the decimal as many places as indicated by the Exponent ( which is given above the 10).

So in this example, we are given 2.4 x 10 ⁵. This means we would move the decimal 5 places. Since the exponent is positive, we will move the decimal to the right.

2 . 4         .

Which gives us option C. 240,000.

Kim was waling down a path for 4 minutes the elavation changed at the same rate altogether it dropped 8 feet what was the change in elavation each minute

Answers

Answer:

2 ft/min

Step-by-step explanation:

Given that :

Kim was waling down a path for 4 minutes the elavation changed at the same rate altogether it dropped 8 feet what was the change in elavation each minute?

Time taken it wall down the path = 4 minutes

Rate of change of elevation is the same

Distance = 8 Feets

Therefore, change in elevation per minute :

Distance dropped / time taken to drop that distance

8 Feets / 4 minutes

2 Feets / minute

Change in elevation = 2 Feets per minute

John had 2 apples, he
got 3 more.
more. How many
apples does he have?

Answers

Answer:

5

Step-by-step explanation:

2+3=5

Find the measure of b. A. 126 B. 31.5 C. 27 D. 63

Answers

Answer:

D. 63°

Step-by-step explanation:

a = 27°

b = 180° - (a + 27°)

b = 180° - (27° + 27°)

b = 180° - 54°

b = 126°

By inscribed angle theorem:

c = 1/2 b = 1/2 * 126°

c = 63°

The measure of angles a, b, and c in the given figure are 27°, 126°, and 63°, respectively.

What is an isosceles triangle?

An isosceles triangle is one with two equal-length sides. It is sometimes stated as having exactly two equal-length sides, and sometimes as having at least two equal-length sides, with the latter form containing the equilateral triangle as a particular case.

In the triangle ORQ, the two sides of the triangle OR and OQ are the radius of the triangle, therefore, the length of the two sides will be.

Since the two sides of the triangle are equal, therefore, the triangle will be an isosceles triangle, with the angle opposite to the same length measuring the same. Therefore,

∠OQR = ∠ORQ

a = 27°

Now, in a triangle, the sum of the measure of all the angles is equal to 180°. Therefore, we can write,

∠OQR + ∠ORQ + ∠QOR = 180°

a + 27° + b = 180°

27° + 27° + b = 180°

b = 180° - 27° - 27°

b = 126°

Further, In a circle, the measure of the angle formed by the chord in the centre of the circle is twice the measure of the angle formed by the same chord on any point in the circle. Therefore,

∠QOR = 2∠QPR

b = 2 × ∠QPR

126° = 2 × ∠QPR

∠QPR = 126° / 2

∠QPR = 63°

Hence, the measure of angles a, b, and c in the triangle are 27°, 126°, and 63°, respectively.

Learn more about Isosceles Triangle here:

https://brainly.com/question/2456591

#SPJ5

When Gopal gives Rs 10 from his money to Laxmi her money becomes double thanthat of the remaining money of Gopal. When Laxmi gives Rs 10 to Gopal his moneyis still Rs 10 less than the remaining money of Laxmi. Find their original sum ofmoney.​

Answers

Answer:

money with Gopal rs. 60

money with laxmi Rs. 90

Total money with them = Rs. 150

Step-by-step explanation:

Let money with gopal be x

let money with laxmi be y

Given

Gopal gives Rs 10 from his money to Laxmi her money becomes double thanthat of the remaining money of Gopal

Money left with gopal after giving Rs 10 = x-10

money with Laxmi after getting rs 10 = y+10

according to given condition

money with laxmi = 2*money left with Gopal

y+10 = 2(x-10)

___________________________________________________

Laxmi gives Rs 10 to Gopal his moneyis still Rs 10 less than the remaining money of Laxmi.

Money left with Laxmi after giving Rs 10 = y-10

money with Gopal after getting rs 10 = x+10

according to given condition

money with laxmi -10 =money  with Gopal

y-10-10 =x+10

y-20 = x+10

=> y = x+10+20

y = x+30

substituting y = x+30 in    y+10 = 2(x-10)

x+30 +10 = 2(x-10)

x+40 = 2x-20

=>40+20 = 2x-x

=> x = 60

y = x+30 = 60+30 = 90

Thus,

money with Gopal rs. 60

money with laxmi Rs. 90

Total money with them = 60+90 = rs. 150

Which situation is modeled by the graph? A graph has time on the x-axis and height on the y-axis. The height increases, decreases to 0, increases, decreases to 0, and then increases.

Answers

Answer:

A graph has time ont the x-axis and height on the y-axis

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The entire graph of the function f is shown in the figure below. Write the domain and range of f using interval notation?

Answers

Domain:   (-5, 3]Range:  [-4, 5)

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

Explanation:

The domain is the set of allowed x values. In terms of a graph, we look at the left most point to see that x = -5 is the smallest x value possible. However, there's an open hole at this endpoint, so -5 itself is actually not part of the domain. So x must be larger than -5. At the same time, x can be as large as x = 3. Look at the very right tip of the graph to find this x value.

So x spans from -5 to 3, excluding -5 but including 3. We would write [tex]-5 < x \le 3[/tex] which converts to the interval notation (-5, 3]. Note the mix of curved parenthesis and square bracket. The curved parenthesis means to exclude the endpoint, while the square bracket means include the endpoint.

-----------

The range is the set of possible y outputs. Find out the lowest point of the graph. That is when y = -4 and this value is included due to the filled in circle at the endpoint. But we do not include the largest y value y = 5 as there's an open hole at this endpoint.

So the range is the set of y values such that [tex]-4 \le y < 5[/tex] which in interval notation would be written as [-4, 5)

-----------

So in short, you're looking for the min and max of x and y to get the domain and range respectively. Be sure to exclude any values where there are open holes as those do not count as part of the graph.

For a given function f(x), we define the domain as the set of the possible inputs for that function.

Here we will see that the domain is (-5, 3]

So, to find the domain by looking at a graph, we need to see the smallest x-value and the largest x-value.

In the graph, at the left, we can see that we have a white dot at x = -5

This means that the point itself does not belong to the domain, so here we need to use an open interval symbol, which is (

Then at the moment, we have:

domain = (-5

Now if we look at the right side, we can see that we have a black dot at x = 3.

This means that the value x = 3 belongs to the domain, so here we need to use the close symbol ].

Then the domain will be:

(-5, 3]

If you want to learn more, you can read:

https://brainly.com/question/16875632

When a number of oranges is divided among six girls, each gets four
oranges. How many oranges would each girl get if there were eight girls ?

Answers

Answer:

3

Step-by-step explanation:

ok first multiply 6 and 4 it becomes 24 then we divide 24 with 8.

4 oranges each and 6 girls
That means there is 24 oranges in total because 6*4=24
If we have 8 girls we would have to equally divide the 24 between the 8 girls
Meaning 24/8=3
So each girl would be given 3 oranges

Graph -7+5y=35. khan acadmy forms of linear equations question. pls show work

Answers

The graph is a representation of how the value of the variable y vary.

Given that y is equal to a constant, 8.4, the graph is an horizontal line.

Response:

The graph of the linear equation -7 + 5·y = 35 having one variable is the graph of the horizontal line y = 8.4, attached.

Which is the form of the given linear equation?

The given equation is; -7 + 5·y = 35

The number of variables in the given equation is one (y), the

power of the variable is also one and the variable is y.

Therefore;

The value of the variable is a constant, in the form; y = c (constant)The graph of a constant y-value is a horizontal line

Solving the equation gives;

-7 + 5·y = 35

5·y = 35 + 7 = 42

[tex]y = \dfrac{42}{5} = \mathbf{8.4}[/tex]

The graph of the equation is the graph of the line, y = 8.4

Please find attached the required graph created with MS Excel

Learn more about linear equations here:

https://brainly.com/question/20496547

Graph (-4, 5), (2, 3), (-3.0), (-4. -5). (-5. 2), and (-5,3) and connect the points to form a polygon. How many sides does the polygon have?​

Answers

Answer:

I think the sides of polygon are 6

Step-by-step explanation:

Because to form a polygon we need to the first to form a horizontal and vertical line,to find the number in that line,and join the line based on the numbers given, then you will get a polygon with 6 side

2% Of A=3% OF B = 4% of c then A:B:C: is?​

Answers

Answer:

6:4:3.....................

The ratio between A, B, and C is 6:4:3.

To determine the ratio between A, B, and C based on the given information, we can set up the following equations:

2% of A = 3% of B

4% of C = 3% of B

Let's solve for the variables and find the ratio:

First equation: 2% of A = 3% of B

0.02A = 0.03B

A/B = 0.03/0.02

A/B = 1.5

Second equation: 4% of C = 3% of B

0.04C = 0.03B

C/B = 0.03/0.04

C/B = 0.75

Now, let's express the ratio A:B:C based on the ratios we found:

A:B = 1.5:1

B:C = 1:0.75

To obtain a common ratio, we can multiply both ratios by 4:

A:B = 6:4

B:C = 4:3

Combining these ratios, we have:

A:B:C = 6:4:3

Therefore, the ratio between A, B, and C is 6:4:3.

Learn more about ratio here

https://brainly.com/question/29178312

#SPJ2

Sarah and Jim leave a train station at the same time traveling 20mi/h faster that Jim’s train. After 3 hours the were 270 miles apart how fast was each train going

Answers

Answer:

speed of Jim's train = 35 mi/h

speed of Sarah's train = 35 +20 mi/h = 55 mi/hour

Step-by-step explanation:

Let the speed of Jim's train be x mi/h

Given, Sarah and Jim leave a train station at the same time traveling 20mi/h faster that Jim’s train.

speed of Sarah's train = x + 20 mi/h

we know distance = speed * time

time = 3 hours

distance traveled by Sarah's train = 3*(x+20) = 3x+60 miles

distance traveled by Jim's train = 3*x =  3x miles

It is not given that if trains are moving in same or opposite direction.

__________________________________

if they are travelling in same direction

Then, then distance between them = total distance traveled by

faster train -  total distance traveled by

slower train = 3x +60 -3x = 60 miles

which is wrong as the two trains are 270 miles apart

hence, they are travelling in opposite direction

In this case

distance between them = total distance traveled by

faster train +  total distance traveled by

slower train = 3x +60 + 3x = 6x + 60 miles

given that the trains are 270 miles apart

6x + 60 miles = 270 miles

6x = 270 - 60 = 210

x = 210/6 = 35

Thus, speed of Jim's train = 35 mi/h

speed of Sarah's train = 35 +20 mi/h = 55 mi/hour

What is the degree (highest exponent) of
a quadratic?

Answers

Answer:[tex]x^{2}[/tex]

Step-by-step explanation:

The highest degree is [tex]x^{2}[/tex]

quadratic equations are usually in this form: [tex]ax^{2}[/tex] +bx +c =0 (the signs may be positive or negative depending on the question given)

PLEASE HELP!!!
Find the measure of WV¯¯¯¯¯¯¯¯¯. A. 8 B. 6 C. 7 D. 4

Answers

Answer:

[tex]\Huge \boxed{\mathrm{B. \ 6}}[/tex]

Step-by-step explanation:

We can apply the Intersecting Secant-Tangent Theorem.

TV is the secant.

VW is the tangent.

VW² = VT × VU

(x+6)² = (5+x+4) × (x+4)

Combine the terms in bracket.

(x+6)² = (x+9)(x+4)

Expand brackets on both sides of the equation.

x²+12x+36=x²+13x+36

Subtract x² from both sides.

12x+36=13x+36

Subtract 12x from both sides.

36=x+36

Subtract 36 from both sides.

0=x

WV = x+6

x=0

WV = 0+6 = 6

The measure of the tangent WV is 6.

The table represents the total miles traveled, y, after a number of hours, x.

Hours, x
Miles, y
2.5
150
4.0
240
5.5
330
7.0
420

Which linear equation represents the situation?

y = 60 x
y = 60 x + 480
y = 4 x + 240
y = 270 x

Answers

Answer: Y=60x

Step-by-step explanation:

find the slope (Y2-Y1)/(X2-X1)

                       (240-150)/4-2.5)

                        90/1.5 =60

It's multiple choice so it can only be a or b. If you do 60 x 2.5 you get 150 so there's no way you will add 480 so you are done it's A. If it's not a multiple choice question then you would do the who y=mx+b and plug in x, y and m and then find the b which in this case would be 0.

Answer:

(2.5,150)(4,240)

slope = (240 - 150) / (4 - 2.5) = 90 / 1.5 = 60

y = mx + b

slope(m) = 60

(4,240)...x = 4 and y = 240

now we sub and find b, the y int

240 = 60(4) + b

240 = 240 + b

240 - 240 = b

0 = b

so ur equation is : y = 60x + 0 which is written as : y = 60x <==

An elevator in an office building made the following moves: Up 7 floors, down 14 floors, up 6 floors, down 2 floors, up 9 floors, down 5 floors. If the elevator stopped on the 54th floor, what floor did it start on?

Answers

Answer:

It started on the 55th floor.

Step-by-step explanation:

We can work backwards from the 54th floor. Since we are working backwards, if the elevator goes up, we will subtract and if it goes down, we will add. Starting with 54, we get 54 + 5 = 59, then 59 - 9 = 50, then 50 + 2 = 52, then 52 - 6 = 48, then 48 + 14 = 62, then 62 - 7 = 55.

Solve the following
equation
85= -5(1 - 2n)
n=12
n = 15
n = -15
n=-8

Answers

Answer:

n = 9

Step-by-step explanation:

Step 1: Solve the equation

85 = -5 + 10n

90 = 10n

n = 9

Therefore n is equal to 9

N=9 hope this helpppppps

Evaluate. (-3/4) to the third power

Answers

Answer:

- 27/64

Step-by-step explanation:

Third power = cubed = multiplying by itself three times

(-3/4)^3 = (-3/4) * (-3/4) * (-3/4) = 9/16 * (-3/4) = - 27/64

What is the value of 9 packs of Sweets if one pack of sweet cost Rs 120.5?

Answers

Answer:

[tex]\boxed{Rs 1084.5}[/tex]

Step-by-step explanation:

One pack = Rs 120.5

→ Multiply both the brackets and price by 9

9 packets = Rs 1084.5

Answer:

[tex] \boxed{ \bold{ \mathsf { \boxed{ \: Rs \: 1084.5}}}}[/tex]

Step-by-step explanation:

Cost of one pack of sweets = Rs 120.5

Cost of 9 packs of sweets = ?

Finding the cost of 9 packs of sweets

Since, the cost of 9 packs of sweets is more than that is 1 pack of sweet. So, the cost of 1 pack of sweet is multiplied by 9 ( i.e 120.5 × 9 )

Rs 1084.5

Hope I helped!

Best regards!!

The coordinates of point T are ​(​0,5​). The midpoint of ST is ​(2​,-2​). Find the coordinates of point S.

Answers

Answer:

(4, -9)

Step-by-step explanation:

Find the distances between the x and y coordinates of point T and the midpoint:

2 - 0 = 2 (distance of x values)

-2 - 5 = -7 (distance of y values)

Add these two values to the coordinates of the midpoint:

2 + 2 = 4 (x value of point S)

-2 - 7 = -9 (y value of point S)

So, point S is at (4, -9)

The perimeter of a rectangle is 24 m. The length is 30 m less than five times the width. Find the dimensions of the rectangle. List answer as follows: width, length.

Answers

Answer:

width = 7 mlength = 5 m

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

where

l is the length

w is the width

From the question

Perimeter = 24m

The statement

The length is 30 m less than five times the width is written as

l = 5w - 30

Substitute the expression into the above formula and solve for the width

That's

24 = 2( 5w - 30) + 2w

24 = 10w - 60 + 2w

84 = 12w

Divide both sides by 12

w = 7

Substitute this value into l = 5w - 30

That's

l = 5(7) - 30

l = 35 - 30

l = 5

Therefore the dimensions are

width = 7 m

length = 5 m

Hope this helps you

The low temperature last month was -11 degrees farenheight. What is the absolute value of -11? Answers:-a: -11 b: 0 c: 11 d: 22

Answers

Answer: C

Step by Step:
The absolute value of something is it’s inverse. The absolute value of a negative is it’s positive, but positives don’t have an absolute value.

Help plz I really need this

Answers

Answer:

14 square inches

Step-by-step explanation:

Since, three one inch cubes are stacked.

Therefore,

l = 1 in

w = 1 in

h = 3 in

Surface area of the composite figure

= 2(lw + wh + lh)

= 2( 1*1 + 1*3 + 1*3)

= 2 (1 + 3 + 3)

= 2 * 7

= 14 square inches

Other Questions
1. How is Alexander Hamilton characterized based on the descriptions in theopening six stanzas The lines given by the equations 3y + 2x = 7 and y = mx 11 are perpendicular. Find m To determine customers opinion of their pricing, Home Depot randomly selects 60 check out lines during a certain week and surveys all customers in the check out line. What type of sampling is used? A. Systematic B. Stratified C. Convenience Find the length of UT+CV. A. 53 B. 4x + 35 C. 65 D. 59 I really need help with this problem, I don't know how to do it. Please help if you can.2/3 +y =1/4 Dante was walking across campus in a hurry. On the way he saw his friend Aarav, who he hadnt seen in quite some time. Dante stopped and told Aarav his cell phone number and told him to call him later. Just a few seconds after Dante left, Aarav already had forgotten the number. This would be because the information only went as far as Aaravs:___________ jamal bought donuts and cupcakes. he bought three times as many donuts as cupcakes. cupcakes cost .50 cent each and donuts cost a $1.00 each. jamaal spent $10.00 total. how many cupcakes did he buy? how many donuts did he buy? Consider a rectangle whose length, L, is 4 more than twice its width, w. a. Write an expression for L in terms of w. b. Show that the perimeter, P, is equal to = 6 + 8. c. Given the perimeter is 20, find the length and width of the rectangle using your answer to part b. Eduardo counted ten seconds (y) between seeing lightning and hearing thunder, and he knew that the lightning was about 2 miles (x) away. What is the equation of the variation? Michael, a 25-year-old man, has committed serious felonies such as arson, assault, and battery. An analysis of his personality suggests that he has some inherent negative traits that make him extremely aggressive and violent. The trait theories state that criminal behavior is not the result of a person choosing to commit a crime, but rather that of the traits with which the person is born. If the trait theory is correct, what type of punishment does Michael deserve? What do you think are the implications for punishment for those who break the law? Provide reasoning for your answers. Gabe is mapping out important family events. He uses negative numbers to represent time before he was born and positive numbers to represent time after he was born. For example, Gabe's mom was given a special coin in year -2020minus, 20, and Gabe's sister was born in year 555. What does year 000 represent? Choose 1 answer: Choose 1 answer: List some ways that a site can be changed over time b. 2(3x - 5) = 2x + 6 Plzzz help me im having alot of trouble understanding this question does some one understand if you do plz help fast!!! 1/2 - 3(1/2 + 1) (1 + 1/3) - 2/9 Question 2 (5 points)Why are foot injuries common among exercisers?Because proper footwear is seldom worn when exercising.Because free weights are commonly dropped in exercise facilities.Because of the foot's role in bearing weight.Because there are many trip hazards during outdoor recreation.Question 3 (5 points)What is the benefit of applying compression to an iniury? Talia is packing a moving box. She has a square-framed poster with an area of 4 square feet. The cube-shaped box has a volume of 14 cubic feet. Will the poster lie flat in the box? Explain? Portfolio AB has half of its funds invested in Stock A and half in Stock B. Portfolio ABC has one third of its funds invested in each of the three stocks. The risk-free rate is 5%, and the market is in equilibrium, so required returns equal expected returns. Which of the following statements is CORRECT?a) Portfolio ABC's expected return is 10.66667%. b) Portfolio AB has a standard deviation of 20%. c) Portfolio ABC has a standard deviation of 20%. d) Portfolio AB's required return is greater than the required return on Stock A. e) Portfolio AB's coefficient of variation is greater than 2.0. Which of the following most closely typifies the sintering temperatures in PM? (a) 0.5 Tm, (b) 0.8 Tm, (c) Tm, where Tm = melting temperature of the metal? Put these in order from shortest to longest A person with knowledge of accounting, who does the routine work of recording, classifying, and summarizing phases of accounting.