The graph of function f is shown. Function g is represented by the equation. Look at the graph and picture!

The Graph Of Function F Is Shown. Function G Is Represented By The Equation. Look At The Graph And Picture!
The Graph Of Function F Is Shown. Function G Is Represented By The Equation. Look At The Graph And Picture!

Answers

Answer 1

Answer: B) different y intercepts; same end behavior

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

Explanation:

The graph shows the y intercept is 4 as this is where the green curve crosses the vertical y axis.

The y intercept of g(x) is 6 which can be found by plugging x = 0 into the g(x) function

g(x) = 4(1/4)^x + 2

g(0) = 4(1/4)^0 + 2

g(0) = 6

So we can see the y intercepts are different.

----------

However, the end behaviors are the same for each function. The left side of f(x) goes up forever to positive infinity. The same is true for g(x). You could use a graphing calculator or a table to see this. As x heads to negative infinity, y goes to positive infinity.

In terms of symbols, [tex]x \to -\infty, y \to \infty[/tex]

----------

For the right side of f(x), it slowly approaches the horizontal asymptote y = 2. It never actually reaches this y value. The same happens with g(x). The portion 4(1/4)^x gets smaller but never gets to 0 so overall 4(1/4)^x+2 gets closer to 2. We can say that as x approaches infinity, y approaches 2.

In terms of symbols, [tex]x \to \infty, y \to 2[/tex]


Related Questions

Pauline has 35 cups of flour. She makes cakes that requires 2 1/4 cups each. How mant cakes can she bake using the 35 cups of flour?​

Answers

Answer:

15.56

Step-by-step explanation:

Total flour available=35 cups

Each cake=2 1/4 cups

Find how many cakes Pauline can bake with 35 cups of flour

Let the number of cakes she can bake with 35 cups of flour=x

x=35 cups / 2 1/4 cups

=35÷9/4

=35×4/9

=140/9

=15 5/9 cakes

=15.56 cakes approximately

15. Use inductive reasoning to describe the pattern. Then find the next two numbers in the pattern.
-9, -4, 1, 6, ...

Answers

Answer:

11, 16

Step-by-step explanation:

the difference between -4 and -9, 1 and -4, 6 and 1 is 5...so add 5 to 6 = 11

then 11 + 5 = 16

Answer:

11,16

Step-by-step explanation:

We are adding 5 each time

-9+5 = -4

-4+5 =1

To find the next two terms

6+5 =11

11+5 = 16

Compute the range and interquartile range for the data collected for boys and girls. Describe their differences in detail using specific terms of spread. (4 points)

Answers

Answer:

The measure of central tendency, mean and median are approximately equal for the boys indicating that the data of the boys is more evenly spread while standard deviation of the girls data is less than those of the boys indicating that the data for the girls is less widely spread.

Step-by-step explanation:

The given data are;

,             1       2       3      4     5      6       7    8      9      10

Girls,    50    32     15    56   81    50     18    81    22    55

Boys,   75     41     25    22    7     0      43    12    45    70

Sorting the data gives;

Girls,     15,   18,     22,   32,  50,   50,   55,  56,    81,  81

Boys,     0,     7,     12,     22, 25,    41,    43, 45,     70, 75

For the even numbered sample data size, the first quartile, Q₁ is found by sharing the data into two and finding the median of the left half which  gives;

10/2 = 5 on each half

The first quartile, Q₁, is the median of the left 5 data points which is the 3rd data point = 22 for girls and 12 for boys

The third quartile, Q₃, is found in similar method to be the 8th data point which is 56 for girls and 45 for boys

The median = 50 for girls and 33 for boys

Therefore, the interquartile ranges are;

IQR = 56 - 22 = 34 for girls, 45 - 12 = 33 for boys

We check for outliers.

Q₁ - 1.5×IQR = 22 - 1.5*34 = -29

Q₃ + 1.5×IQR = 56 + 1.5*34 = 107

We check the mean of both data samples as follows;

Average for the girls = 46

Average for the boys = 34

Standard deviation for girls = 23.99

Standard deviation for girls = 25.43

Therefore, the measure of central tendency is more accurate for the boys indicating that the data of the boys is more evenly spread while the data for the girls is less widely spread.

49*32’55” + 37*27’15” = ?

Answers

Answer:

87°10''

Step-by-step explanation:

In 49°32'55'', we convert 32' to degrees. So. 32/60 = 8/15. We also convert 55'' to degrees. So, 55 × 1/60 × 1/60 = 55/3600 = 11/720

In 37°27'15'', we convert 27' to degrees. So. 27/60 = 9/20. We also convert 15'' to degrees. So, 15 × 1/60 × 1/60 = 15/3600 = 1/240

We now add the fractional parts plus the whole part of the angles together.

So,

49 + 8/15 + 11/720 + 37 + 9/20 + 1/240 = 49 + 37 + 8/15 + 9/20 + 11/720 + 1/240 = 86 + 59/60 + 7/360.

We now convert the fractional parts 59/60 to minutes by multiplying by 60 and convert 7/360 to seconds by multiplying by 3600

86° + 59/60 × 60 + 7/360 × 3600 = 86° + 59' + 7 × 10 =86° + 59' + 70'' = 86 + 59' +  1'  + 10''= 86 + 60' + 10'' = 86 + 1° + 10'' = 87° 10''

So, 49°32'55'' + 37°27'15'' = 87°10''

(b-2)x= 8
In the given equation, b is a constant. If the equation
has no solution, what is the value of b ? A) 2
B) 4
C) 6
D) 10

Answers

Answer:

2

Step-by-step explanation:

(2-2)x = 8

(0)x = 8

x = 8/0

no solution

The value of "b" that would result in the equation having no solution is A) 2.

To determine the value of "b" that would result in the given equation having no solution, we need to look at the coefficient of "x" in the equation (b - 2) and the constant term on the other side (8).

The equation is: (b - 2)x = 8

For the equation to have no solution, the coefficient of "x" (b - 2) must be 0. This is because when you multiply any number by 0, the result is always 0, meaning the left-hand side of the equation becomes 0x, which simplifies to 0. However, the right-hand side is 8, and 0 is never equal to 8.

Therefore, to make (b - 2) equal to 0, we can set:

b - 2 = 0

Adding 2 to both sides:

b = 2

So, the value of "b" that would result in the equation having no solution is A) 2.

To know more about equation"

https://brainly.com/question/29114761

#SPJ2

Margot is sewing a ribbon on a seam along the perimeter of a square pillow. The side length of the pillow is 23-1 inches. She plans to make a similar pillow, including the ribbon, whose side length is 4x-7 inches. What expression can be used for the length of ribbon that she needs for both pillows, and what is the length if x = 3.5?


2x14x-6: 22.0 inches

2x14x-6; 32.5 inches

4(2x+4x-6) 88.0 inches

4(2x +48-6:) 130.0 inches

Answers

Answer:

D. 4(2x² + 4x - 6); 130.0 inches

Step-by-step explanation:

Margot is sewing a ribbon on a seam along the perimeter of a square pillow. The side length of the pillow is 2x²+1 inches. She plans to make a similar pillow, including the ribbon, whose side length is 4x−7 inches. What expression can be used for the length of ribbon that she needs for both pillows, and what is the length if x = 3.5?

2x2+4x−6; 22.0 inches

2x2+4x−6; 32.5 inches

4(2x2+4x−6;) 88.0 inches

4(2x2+4x−6;) 130.0 inches

Perimeter of a square = 4 * side length

1- First square pillow

length = 2x²+1 in

Perimeter of first pillow = 4 * (2x²+1) in

Second square pillow

length = 4x-7 in

Perimeter of second pillow = 4(4x-7) in

Total ribbon length required = perimeter of first square pillow + perimeter of second square pillow

Total ribbon length required = 4(2x²+1) + 4(4x-7)

Factorise

4 is the common factor

=4(2x²+1)+(4x-7)

=4(2x²+1+4x-7)

=4(2x²+4x-6)

Total ribbon length required=4(2x²+4x-6)

If x=3.5

Total ribbon length required=4(2x²+4x-6)

=4{2(3.5)²+4(3.5)-6}

=4{2(12.25)+14-6)

=4(24.5+14-6)

=4(32.5)

=130.0 inches

please help!! due soon!
Use the graph to complete the statement. O is the origin. T ο r(180°,O) : (4,2)
A. (-5, 0) B. (3, 4) C. (-3, -4) D. ( -4, -2)

Answers

Answer:  D.  (-4, -2)

Step-by-step explanation:

Rotating 180° about the origin means the signs for the x- and y-values are opposite.

(x, y) → (-x, -y)

(4, 2) → (-4, -2)

The coordinate after 180° of rotation will be (-4, -2). Then the correct option is D.

What is a transformation of a point?

A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.

The line is y = mx, then the point (4, 2).

The point (4, 2) is in the first quadrat.

The line is rotated by 180° about the origin.

Then the coordinate will lies in the third quadrant.

Then the value of the abscissa and ordinate will be transformed into negative.

Then the coordinate after 180° of rotation will be (-4, -2).

Then the correct option is D.

More about the transformation of a point link is given below.

https://brainly.com/question/27224339

#SPJ5

Still can’t get the answer

Answers

Answer:

Arliss needs [tex]4 \frac{1}{3}[/tex] yards more.

Step-by-step explanation:

We can look at the fractions [tex]2 \frac{1}{3}[/tex] and [tex]3 \frac{1}{3}[/tex] and add them up.

Looking at the whole numbers, [tex]2+3=5[/tex].

Looking at the fractional parts, [tex]\frac{1}{3} + \frac{1}{3} = \frac{2}{3}[/tex].

So all together, she currently has [tex]5 \frac{2}{3}[/tex] yards.

If she wants to get to 10, we need to find how many more yards we need.

Let's level it out quickly - having [tex]\frac{1}{3}[/tex] more of a yard will give is 6 yards.

[tex]10-6=4[/tex], so in total we added

[tex]4 \frac{1}{3}[/tex] more yards.

So she needs [tex]4 \frac{1}{3}[/tex]  more yards.

Hope this helped!

Antonia bought a set of dishes, a towel, and a candle at a housewares store. The set of dishes cost $35.67, the towel cost $21.73,
and the candle cost $9.16 before any coupons or discounts.
She used a $0.50-off coupon on the candle, a $2.75-off coupon on the towel, and the set of dishes was on sale for 10% off the
regular price. Which of the following best describes the amounts that Antonia saved?

Answers

Savings = 0.5 + 2.75 + 35.24* 0.1 = 6.77

The equation of C is (x - 2)^2 + (y - 1)^2 = 25. Of the points P(0,5), Q(2,2) R(5,-2), and S(6,6), which point is located outside the circle?

Answers

Answer:

( 6,6) is outside

Step-by-step explanation:

(x - 2)^2 + (y - 1)^2 = 25

This is of the form

(x - h)^2 + (y - k)^2 = r^2

where ( h,k) is the center and r is the radius

(x - 2)^2 + (y - 1)^2 = 5^2

The center is at ( 2,1) and the radius is 5

P(0,5), Q(2,2) R(5,-2), and S(6,6)

Adding the radius to the y coordinate gives us 6 so the only point with a y coordinate on the circle is ( 2,6)

( 6,6) is outside the circle

Approximately what is the length of the rope for the kite sail, in order to pull the ship at an angle of 45° and be at a vertical height of 150 m, as shown in the diagram opposite?

Answers

Answer:

212m

Step-by-step explanation:

The set up will be equivalent to a right angled triangle where the height is the opposite side facing the 45° angle directly. The length of the rope will be the slant side which is the hypotenuse.

Using the SOH, CAH, TOA trigonometry identity to solve for the length of the rope;

Since we have the angle theta = 45° and opposite = 150m

According to SOH;

Sin theta = opposite/hypotenuse.

Sin45° = 150/hyp

hyp = 150/sin45°

hyp = 150/(1/√2)

hyp = 150×√2

hyp = 150√2 m

hyp = 212.13m

Hence the length of the rope for the kite sail, in order to pull the ship at an angle of 45° and be at a vertical height of 150 m is approximately 212m

By applying trigonometry ratio, the length of the rope for the kite to sail would be: 212 m.

Recall:

Trigonometry ratios used to solve a right triangle are: SOH CAH TOA

The diagram describing the situation is attached below (see attachment).

Thus:

The reference angle [tex](\theta) = 45^{\circ}[/tex]

Let the length of the rope be x = Hypotenuse

Opposite = 150 m

To find the length of the rope (x), apply SOH

Thus:

[tex]Sin(\theta) = \frac{Opp}{Hyp}[/tex]

Substitute

[tex]Sin(45) = \frac{150}{x}[/tex]

Multiply both sides by x

[tex]x \times Sin(45) = \frac{150}{x} \times x\\\\x \times Sin(45) = 150[/tex]

Divide both sides by sin(45)

[tex]\frac{x \times Sin(45)}{Sin(45)} = \frac{150}{ Sin(45)} \\\\\mathbf{x = 212 $ m}[/tex]

Therefore, by applying trigonometry ratio, the length of the rope for the kite to sail would be: 212 m.

Learn more here:

https://brainly.com/question/12718789

I already found the vertex, but can someone help me find the latus rectum of this parabola?

Answers

Answer:

Step-by-step explanation:

y=x²+7

vertex(0,7)

the length of latus rectum in a parabola equal to four times the focal length :

y=x²+7

focus X=-b/2a=0

focus Y=c- (b²-1)/4a=7+1/4=29/4

focus (0 , 29/4)

latus rectum is 29/4

(x-h)^2 = 4p (y-k)   4p is the length of the latus rectum with vertex(0,7)

(0-0)²=4p(29/4-7)

0=29p-28p=1p

the length of the latus rectum is 1

Answer:

  1

Step-by-step explanation:

The short answer is that the length of the latus rectum is the reciprocal of the magnitude of the leading coefficient.

In y = x^2 +7, the leading coefficient is 1.

  latus rectum = 1/|1| = 1

How to do this question plz answer me step by step plzz plz ​

Answers

Answer:

196

Step-by-step explanation:

Surface area of a cuboid:

2 ( lw + wh + hl)

L = Length

W = Width

H = Height

Area of the base = 30 = lw; So we could take the length as 15 cm and width as 2 cm.

Volume = lwh; 15 x 2 x (4); So 4 is the height

So, 2 ( lw + wh + hl)

= 2 (15 x 2 + 2 x 4 + 4 x 15)

= 2 (30 + 8 + 60)

= 2 (98)

= 196 is the surface area of cuboid

use the given information to find the new price

wholesale price: $35
markup: 95%​

Answers

Answer:

i think the answer is either $68.25 or $110

i hope this helped

I Need help again! Given the following Venn diagram, choose the correct set for M n N

Answers

Answer:

{2, 3, 5, 6, 8, 9}

Step-by-step explanation:

The universal set is

U = {2, 3, 4, 5, 6, 7, 8, 9}

M = {3, 4, 7, 9}

N = {4, 6, 7}

M n N = {4, 7}

The bar above M n N means the complement of M n N which is all elements of the universal set that are not in M n N.

Answer: {2, 3, 5, 6, 8, 9}

3/4a-1/6=2/3a+1/4? Please i need help!!!!

Answers

Answer: a=5

Step-by-step explanation:

1/12a=10/24

24a=120

a= 5

Please Help Asap will give brainliest!!! M(9, 8) is the midpoint of side RS.The coordinates of S are (10, 10). What are the coordinates of R? No nonsense answers will report and give explanation plz.

Answers

the change in x  is 1 and 2 in y respectively

the points are in order from r (x,y)         to     m (9,8)         to   s (10,10

if we take - 1 from x and 2 from y we will get r, or (8,6)

Counting from 1 to 46, how many 4s will you encounter? 8 10 11 12 14

Answers

Answer:

11

Step-by-step explanation:

4=1

14=2

24=3

34=4

40=5

41=6

42=7

43=8

44=9

45=10

46=11

You will encounter 11 4s.

Identify the relation that is not a function. weight of an apple to the apple's cost time of day to the temperature at that time weight of a person to a person's height phone number to a person's name

Answers

Answer: Weight of a person to a person's height

Let x = weight and y = height. It is possible to have a certain weight correspond to multiple heights. This means the input x has multiple output y values. Therefore, we cannot have a function here. A function is only possible if for any x input, there is exactly one y output. The x value must be in the domain.

Find the product of 0.3×0.23

Answers

Answer:

0.069

Step-by-step explanation:

0.3*0.23=0.069

what's the correct answer to this...?

Answers

Answer:

-13

Step-by-step explanation:

f(-2) = 3(-2) - 7

f(-2) = -6 - 7

f(-2) = -13

f(-2) means to replace x with -2 in the equation and solve:

3(-2) - 7 = -6 - 7 = -13

The answer is -13

Need help please will give you a 5 stars

Answers

Answer:

option 1

Step-by-step explanation:

Here (2,0)

(2-4) square -4 is = 0

Answer:

y = (x - 4)^2 - 4

Step-by-step explanation:

Here are the points work:

(4,-4) Works:

y = (4 - 4)^2 - 4

y = 0 - 4

y = -4

(6,0) Works:

y = (6 - 4)^2 - 4

y = 4 - 4

y = 0

(2,0) Works:

y = (2 - 4)^2 - 4

y = 4 - 4

y = 0

And (0,12) Works:

y = (0 - 4)^2 - 4

y = 16 - 4

y = 12

Hope this helps, and have a good day!

(brainliest would be appreciated?)

One of the factors of 6x3 − 864x is 4 x2 x + 12 x − 8

Answers

Your answer is x + 12

Hope this helped!

Answer:

x+12

Step-by-step explanation:

Correct on test

PLEASE HELP ME WORTH 20 POINTS It looks like the graph of the parents function f(x)x^2. However:
- It has been reflected (flipped) over the x-axis
-It has been shifted down 4 units.
-It had been shifted left 1 unit

Step 1: Start with the equation f(x) = x2. Write the equation for the graph of g(x) that has been reflected, or flipped, over the x-axis.

Step 2: Use the equation you wrote in Step 1. Write the equation for the graph of g(x) that has also been shifted down 4 units.

Step 3: Use the equation you wrote in Step 2. Write the equation for the graph of g(x) that has also been shifted left 1 unit.

Answers

flipped : [tex]-x^2[/tex]

moving down: [tex] -x^2+4[/tex]

shifting left [tex] -(x+1)^2+4[/tex]

expanding it: [tex] -x^2-2x+3[/tex]

Answer:

1. f(x)=x^2

f(x)=-x^2

2. f(x)=-x^2-4

3. f(x)=-(x+1)^2-4

what is the reciprical of 4/7?

Answers

Answer:

7/4

Step-by-step explanation:

To find the reciprocal of 4/7, flip the fraction.

The numerator goes in the denominator and the denominator goes in the numerator

7/4

Answer:

7/4

Step-by-step explanation:

Keep it, change it, flip it.

Questions attached below (❁´◡`❁)

Answers

Problem 2

Josh forgot to apply the square root to 16 when he went from [tex](x-3)^2 = 16[/tex] to [tex]x-3 = 16[/tex]

Also, he forgot about the plus/minus.

This is what his steps should look like

[tex]x^2 - 6x - 7 = 0\\\\x^2 - 6x = 7\\\\x^2 - 6x +9= 7+9\\\\(x-3)^2= 16\\\\x-3= \pm\sqrt{16}\\\\x-3= 4 \text{ or } x-3= -4\\\\x= 7 \text{ or } x= -1\\\\[/tex]

There are two solutions and they are x = 7 or x = -1. To check each solution, you plug it back into the original equation

Let's try out x = 7

x^2 - 6x - 7 = 0

7^2 - 6(7) - 7 = 0

49 - 42 - 7 = 0

0 = 0 ... solution x = 7 is confirmed. I'll let you check x = -1

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

Problem 3

We will have

a = 1, b = -4, c = 3

plugged into the quadratic formula below to get...

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-4)\pm\sqrt{(-4)^2-4(1)(3)}}{2(1)}\\\\x = \frac{4\pm\sqrt{4}}{2}\\\\x = \frac{4\pm2}{2}\\\\x = \frac{4+2}{2} \ \text{ or } \ x = \frac{4-2}{2}\\\\x = \frac{6}{2} \ \text{ or } \ x = \frac{2}{2}\\\\x = 3 \ \text{ or } \ x = 1\\\\[/tex]

The two solutions are x = 3 or x = 1. You would check this by plugging x = 3 back into the original expression x^2 - 4x + 3. The result should be zero. The same applies to x = 1 as well.

multiple choice
a. 12 pie cm
b. 21 pie cm
c. 35 pie cm

Answers

Answer:

The correct option is;

a. 12 pie cm

Step-by-step explanation:

Cavalieri's principle states that if the cross-sectional area of two or more figures of the same altitude are the same at each level of the figures, then the volumes of the figures are also the same;

Given that the base area of the square based prism and the cylinder are the same, and that the square based prism and the cylinder have equal height of 4 cm, then by Cavalieri's principle, their volumes are the same

The volume of the square based prism = 452 cm³

Therefore, the volume of the cylinder (of equal base area) = 452 cm³

The formula for the volume of square based prism = Area of base × Height

∴ The volume of square based prism, 452 cm³ = Area of base × 4 cm

Which gives;

Area of the base of the square based prism  = 452/4 = 113 cm²

The area of the base of the cylinder [tex]A_c[/tex]  = The area of the base of the square based prism = 113 cm²

The area of the base of the cylinder,[tex]A_c[/tex]  is given by the following equation;

[tex]A_c[/tex] = π×r² = 113 cm²

r = √(113/π) = √35.97 ≈ √36  = 6 cm

The circumference of the base of the cylinder,[tex]C_c[/tex]  is given by the following equation

[tex]C_c[/tex] = 2×π×r ≈ 2×π×6 = 12×π cm

The correct option is 12 pie cm.

If the Cost price of the an article is greater than the selling price, we have a ____?​

Answers

Answer:

loss

Step-by-step explanation:

Selling an item for less than was paid gives a loss

Selling an item for more than was paid gives a profit

HURRY PLZ WILL GIVE BRAINIEST IF I CAN 4f+4+3d-6-3f

Answers

Answer:

3d + f -2

Step-by-step explanation:

= 4f+4+3d-6-3f

= f+3d-6

= 3d+ f - 6

Angles L and M are supplementary. What is the sum of
their measures?
The sum of the measures of angles L and M is

Answers

180 degree

Step-by-step explanation:

supplementary means anhke havinv sum of 180 degree

so sum to two supplemrntary angles is 180 drgree

Answer: 180

Supplementary angles always add to 180.

One way I think of it is "supplementary angles form a straight angle", and both the words "supplementary" and "straight" start with the letter "S".

In contrast, complementary angles form a corner. Both "complementary" and "corner" start with "co". By "corner", I mean a 90 degree corner.

Other Questions
A deep-space vehicle moves away from the Earth with a speed of 0.870c. An astronaut on the vehicle measures a time interval of 3.10 s to rotate her body through 1.00 rev as she floats in the vehicle. What time interval is required for this rotation according to an observer on the Earth which of the following are remote interior angles of How to do this question plz.plz work out for me in your notebook or sheet if you can plz the question so I can understand more plzz Need Assitance*Show Work* Which of the following frequencies could NOT be present as a standing wave in a 2m long organ pipe open at both ends? The fundamental frequency is 85 Hz. 2) Micah and Taylor investigate the effect of tap water and spring water on the growth of plants.They grew two plants of the same type and size in separate containers. Every three days, theyadded the same amount of tap water to one plant and the same amount of spring water to theother. Describe an action that would best improve the reliability of their results? algebra 4 is hard because the answers arent on brainly According to the timeline, what were two significant events that occurred in September, 1862? (Please provide you answer in chronological order). Describe the basic population and social structure of the 18th century colonies and indicate how they had changed since the 17th century. 2 Paragraph minnimum Why might the credibility of the passage be questioned?It is short.Read the passage from a letter by ChristopherColumbusThe inhabitants ... are well made, but because they aretimid and full of terror. ... But when they see that theyare safe, and all fear is banished, they are very guilelessand honest, and very liberal of all they have.It is biased.It is detailed.It is objective.-Letter to Gabriel Sanchez, Christopher ColumbusP A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. He started at 90 9090 kilograms and gained weight at a constant rate. After 8 88 months, he weighed 138 138138 kilograms. What effect will replacing x with (x 7)have on the graph of the equation y = = (x + 4)??A. slides the graph 3 units down B. slides the graph 3 units upC. slides the graph 7 units rightD. slides the graph 3 units right y elabora el siguiente cuadro como un ejercicio personal para identificar tus caractersticas, tus capacidades, tus valores, tus fortalezas y tus limitaciones. Explain the importance of international employment General senses include: Select one: a. pressure, temperature, touch, and pain. b. smell, temperature, pain, and taste. c. touch, pain, sight, and hearing. d. pain, temperature, pressure, and smell. what season is the poet describing in the poem the wind and the leaves what is square root of the product of the number z and itself This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise Find f. f ''(t) Read the following passage: Forgive the interruption, dear reader, but Ill have you know this is going to be an adventure for me, too. Its not easy being an inanimate object worth enough American dollars to feed a family of six in Chad for over forty thousand years. (Or 4,077 families of six for a decade each. How my value is distributed is of no concern to me.) That is no exaggeration.) Right now, that dastardly George Washington has his ugly green face smashed against mine, and theres a month-old Chick-fil-A receipt pressed against my behind without my consent. To top it off, the person who shoved me into this lackluster billfold truly has forgotten about me. The indignity of it all is appalling considering my value, dont you think? Make an inference as to who or what the speaker in this passage might be. What details did you use to help you reach this conclusion? On the basis of the following data, the general manager of Hawkeye Shoes Inc. decided to discontinue Childrens Shoes because it reduced operating income by $30,000. Hawkeye Shoes Inc. Product-Line Income Statement For the Year Ended November 30, 20Y8 Children's Shoes Men's Shoes Women's Shoes Total Sales $280,000 $300,000 $500,000 $1,080,000 Costs of goods sold: Variable costs $(135,000) $(150,000) $(220,000) $(505,000) Fixed costs (45,000) (60,000) (120,000) (225,000) Total cost of goods sold $(180,000) $(210,000) $(340,000) $(730,000) Gross profit $100,000 $90,000 $160,000 $350,000 Selling and administrative expenses: Variable selling and admin. expenses $(100,000) $(45,000) $(95,000) $(240,000) Fixed selling and admin. expenses (30,000) (20,000) (25,000) (75,000) Total selling and admin. expenses $(130,000) $(65,000) $(120,000) $(315,000) Operating income (loss) $(30,000) $25,000 $40,000 $35,000 a. Prepare a differential analysis to determine the