imagine a warehouse that has a rectangular floor and that contains all of the boxes of breakfast cereal bought in the united states in one year if the warehouse 10 feet tall what could the side lengths of the floor be​

Answers

Answer 1

Answer:

see the explanation

Step-by-step explanation:

The complete question in the attached figure

step 1

Find the volume of a typical cereal box

[tex]V=LWH[/tex]

substitute the given values

[tex]V=(2.5)(7.75)(11.75)=227.65625\ in^3[/tex]

Convert to cubic feet

Remember that

[tex]1\ ft=12\ in[/tex]

so

[tex]1\ ft^3=1,728\ in^3[/tex]

so

[tex]227.65625\ in^3=(227.65625/1,728)\ ft^3[/tex]

step 2

Find the volume of all of the boxes of breakfast cereal bought in the united states in one year

Multiply the volume of one box by 2.7 billion boxes

[tex](227.65625/1,728)(2,700,000,000)=355,712,890.625\ ft^3[/tex]

step 3

If the warehouse is 10 feet tall what could the side lengths of the floor be?

Divide the volume by the height to obtain the area of the rectangular base

[tex]A=(355,712,890.625)/10=35,571,289\ ft^2[/tex]

If the floor were a square, the dimensions would be

5,964 ft by 5,694 ft approximate

Imagine A Warehouse That Has A Rectangular Floor And That Contains All Of The Boxes Of Breakfast Cereal
Answer 2
Final answer:

The area of the warehouse's floor can be calculated by dividing the total volume of cereal boxes by the height of the warehouse, which is given to be 10 feet. The exact dimensions of the floor (length and width) cannot be determined from the information given. Many combinations of length and width can yield the same area.

Explanation:

Given the problem, it is implied we must estimate the size of the warehouse able to contain the volume of all the cereal boxes purchased in the United States in one year. The shape mentioned is a rectangular prism (a box), with known height 10 feet. The area of the warehouse floor (base) would be the total volume divided by the height of the warehouse.

However, the information needed to calculate the exact dimensions of the warehouse's base (length and width) is not provided in the question. Essentially, many combinations of length and width could yield the same area. For example, if the area was 200 sq ft, it could be 20 ft by 10 ft, or 40 ft by 5 ft, and so on.

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Related Questions

find the value of x.

13,15,17,x,20,21; The median is 18.

Answers

Answer:

1

Step-by-step explanation:

13  15  17  x  20  21

Cross out all outer numbers

We are left with 17 and x

With double medians, you add those two together and then divide them by two.

With the median (total) being 18, we will first add 17+x then divide Y/2 = 18

The value of x is 1

If theta is an acute​ angle, solve the equation tangent theta equals four fifths
. Express your answer in​ degrees, rounded to one decimal place.

Answers

Answer:

[tex]\theta=38.7\degree[/tex]

Step-by-step explanation:

We want to solve [tex]\tan \theta=\frac{4}{5}[/tex] given that [tex]\theta[/tex] is acute.

We take tangent inverse of both sides to get:

[tex]\theta=\tan^{-1}(\frac{4}{5})[/tex]

Now set your calculator to degree mode and evaluate [tex]\tan^{-1}(\frac{4}{5})[/tex] to obtain:

[tex]\theta=38.6598\degree[/tex]

To one decimal place, we have;

[tex]\theta=38.7\degree[/tex]

Final answer:

To solve the equation 'tangent theta equals four fifths', we use the inverse tangent function, or arctan(4/5). Using a calculator in degree mode, the result is approximately 38.7 degrees.

Explanation:

To solve the equation tangent theta equals four fifths, we need to find the angle whose tangent is 4/5. We can find this using the inverse tangent function (also known as arctan)

So, theta = arctan(4/5)

Use a calculator to find out the value of arctan(4/5). Make sure your calculator is in degree mode because the answer needs to be in degrees. The answer is approximately 38.7 degrees, rounded to one decimal place.

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brand A granola is 25% nuts and dried fruit and brand B granola is 10% nuts and dried fruit. how much of sweet item A and sweet item B should be mixed to form a 30-lb batch of sweets that is 22% nuts and dried fruit?

Answers

x = lbs of A
y = lbs of B
---
x + y = 10
25x + 20y = 21*10
---
put the system of linear equations into standard form
---
x + y = 10
25x + 20y = 210



lbs of A = 2
y = lbs of B = 8

To create a 30-lb batch of sweets that is 22% nuts and dried fruit, you should mix 12 lbs of sweet item A and 18 lbs of sweet item B.

To find the solution, we can set up a system of equations based on the percentages of nuts and dried fruit in each brand of granola and the desired final percentage.

Let x represent the amount of sweet item A (in pounds) and y represent the amount of sweet item B (in pounds) to be mixed.

The total weight of the mixture is x + y = 30 lbs.

The percentage of nuts and dried fruit in brand A is 25%, so the amount of nuts and dried fruit from A is 0.25x lbs.

The percentage of nuts and dried fruit in brand B is 10%, so the amount of nuts and dried fruit from B is 0.10y lbs.

The desired final percentage in the mixture is 22%, so we have the equation: (0.25x + 0.10y) / 30 = 0.22.

Now, we can solve this system of equations to find x and y.

First, we'll multiply the last equation by 30 to get 0.25x + 0.10y = 6.6.

Then, we can use substitution or elimination to solve for x and y.

In this case, it's simpler to use elimination, and we find that x = 12 lbs and y = 18 lbs.

Therefore, you should mix 12 lbs of sweet item A and 18 lbs of sweet item B to create the desired 30-lb batch with 22% nuts and dried fruit.

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On a certain hot​ summer's day, 391 people used the public swimming pool. The daily prices are $1.25 for children and $2.25 for adults. The receipts for admission totaled $752.75. How many children and how many adults swam at the public pool that​ day?

Answers

127 children and 264 adults swam at the public pool that​ day

Solution:

Let "c" be the number of children swam

Let "a" be the number of adult swam

Cost for each children = $ 1.25

Cost for each adult = $ 2.25

391 people used the public swimming pool

Therefore,

c + a = 391

a = 391 - c ------- eqn 1

The receipts for admission totaled $752.75

Therefore, we frame a equation as:

number of children swam x Cost for each children + number of adult swam x Cost for each adult = 752.75

[tex]c \times 1.25 + a \times 2.25 = 752.75[/tex]

1.25c + 2.25a = 752.75 ---------- eqn 2

Let us solve eqn 1 and eqn 2

Substitute eqn 1 in eqn 2

1.25c + 2.25(391 - c) = 752.75

1.25c + 879.75 - 2.25c = 752.75

c = 879.75 - 752.75

c = 127

Substitute c = 127 in eqn 1

a = 391 - 127

a = 264

Thus 127 children and 264 adults swam at the public pool that​ day

lonnie bought 6 pieces of ribbon. Each ribbon was 2 and 3/4 yards long. How much ribbon did Lonnie buy in all

Answers

Answer:

14.04

Step-by-step explanation:

you mupltiy

Answer:

b

Step-by-step explanation:

2.34 x 6 = 14.04

so it would total up to 14.12

solve for x and y


−8y+9x=−5
8y+7x=−75

Answers

Answer:

-8y + 9x = -5

8y + 7x = -75

16x = -80

x = -5

8y + 7(-5)= -75

8y - 35 = -75

8y = -40

y = -5

(-5,-5)

42 : 36 : 54 in simplest form

Answers

Step-by-step explanation:

42:36:54 divide this by 6

= 7 : 6 : 9 simplest form

A steel ball is traveling through water with a speed of x meters per second, where x is positive the drag force, F

At what speed in meters per second does the ball have a force of 0.5 N on it

Answers

the speed at which the ball has a force of 0.5 N on it is [tex]\( 2.5 \)[/tex] meters per second.

To find the speed at which the drag force F on the steel ball is 0.5 N, we need to solve the equation:

[tex]\[ F = 0.5 + 0.004(x + 50)(x - 2.5) \][/tex]

Given that [tex]\( F = 0.5 \)[/tex], we can substitute this value into the equation and solve for x:

[tex]\[ 0.5 = 0.5 + 0.004(x + 50)(x - 2.5) \][/tex]

Subtracting \( 0.5 \) from both sides, we get:

[tex]\[ 0 = 0.004(x + 50)(x - 2.5) \][/tex]

Now, since the product of two factors is equal to zero, at least one of the factors must be zero. So we have:

[tex]\[ x + 50 = 0 \][/tex] or [tex]\[ x - 2.5 = 0 \][/tex]

Solving these equations:

1. [tex]\( x + 50 = 0 \)[/tex]

[tex]\[ x = -50 \][/tex]

2. [tex]\( x - 2.5 = 0 \)[/tex]

[tex]\[ x = 2.5 \][/tex]

Since the speed cannot be negative, the only valid solution is [tex]\( x = 2.5 \)[/tex] meters per second.

Therefore, the speed at which the ball has a force of 0.5 N on it is [tex]\( 2.5 \)[/tex] meters per second.

The complete Question is given below:

A steel ball is traveling through water with a speed of x meters per second, where x is positive. The drag force, F , in newtons (N) is: F=0.5+0.004(x+50)(x-2.5) At what speed in meters per second does the ball have a force of 0.5N on it?

what property can be used to solve x-3= -5

Answers

Answer:

-2

Step-by-step explanation:

x-3=-5

x=-5+3

x=-2

What is this (20+25)/3

Answers

Answer:

78 witch is 15%

Step-by-step explanation:

The answer would be 135/3














how do you solve
-4/7 + 2/7x - 14x + 4/7

Answers

Answer:

-96/7x

Step-by-step explanation:

-4/7+2/7x-14x+4/7

-4/7+4/7+2/7x-14x

2/7x-14x

2/7x-98/7x

-96/7x

Answer:

-96/7

Step-by-step explanation:

5. Katie makes and sells scarves. Her monthly profit is given by P(s) = -s2 + 25s - 100, where "s" is the selling price. For what range of prices can Katie sell the scarves, in order to make a profit? (For what values of "s" will -s2 + 25s - 100 be greater than 0?)

Answers

Answer: s > 5

Step-by-step explanation:

-s² + 25s - 100 > 0

Coefficient of s² is -1, multiply the equation through by -1.

-1 × (-s² + 25s - 100)

s² — 25s + 100

ax² + bx + c

Then you get the factors x and y that gives x + y = b and xy = c

b = -25 and c = 100, x = -20 and y = -5

-20 × -5 = 100 and -20 + -5 = -25

Then

s² — 20s — 5s + 100 > 0

Factorising,

s (s — 20) — 5(s — 20) > 0

(s — 5)(s — 20) > 0

(s — 5) > 0 and (s — 20) > 0

s>5 and s>20

s > 5

Hope this Helps?

BRAINLIEST 60 POINTS!! PLEASE HELP ITS DUE TODAY


First image is for question 1, and second image is for question 2


1. Remember what we know about vertical angles and solve for x.








2. Use the figure to answer the questions.


(a) What additional information is needed to prove the triangles are congruent by SAS Postulate? Explain.

(b) What additional information is needed to prove the triangles are congruent by the HL Theorem? Explain.

Answers

Answer:

1.[tex]x^\circ= 7^\circ[/tex]

2.(a)Therefore , Side LJ =side CA

(b) BC = KL

Step-by-step explanation:

1.

we know that, vertically opposite angles are congruent .

[tex]\therefore (x+16)^\circ= (4x-5)^\circ[/tex]

[tex]\Leftrightarrow 4x^\circ-x^\circ= 5^\circ+16^\circ[/tex]

[tex]\Leftrightarrow 3x^\circ= 21^\circ[/tex]

[tex]\Leftrightarrow x^\circ= 7^\circ[/tex]

2.

(a)SAS = side,angle , side

Given ,side AB = side KJ

and ∠CAB= ∠LJK

All Pythagorean Triples are unique.

Since side AB = side KJ

Therefore , Side LJ =side CA

It satisfies SAS postulate ThereforeΔABC≅ΔKJL

(b)

HL Theorem: If hypotenuse and one leg of of a right triangle are congruent to the hypotenuse and one leg of of other right triangle , then the triangle congruent.

Since,

All Pythagorean Triples are unique.

Then hypotenuse of ΔABC=ΔLKJ ⇔BC = KL

Gasoline is selling for $3.29 per gallon. It takes 28.25 gallons to fill up Bill's new pick-up truck. How much does he pay?​

Answers

Answer:

approximately (put the approximately sign) $92.94

Step-by-step explanation:

Just multiply 28.25 by $3.29. Tjen, round the answer to the nearest hundredth.

570 times what gets 690

Answers

Answer:

1.21052631579 is the exact answer or 1.2 is if you round it

Step-by-step explanation:

This is the answer I got from dividing 690 by 570. Hope this helped

Answer:

1.21 to the nearest hundredth.

Step-by-step explanation:

570 * x = 690

x = 690/570

x = 1.210526316.

What's 0 divided by 0?

Answers

Answer:

Nothing

Step-by-step explanation:

You can't divide by zero

Answer:

ANYTHING DIVIDED BY 0 IS ALWAYS ZERO

Step-by-step explanation:

PLEASE MARK BRAINLIEST

What is 83.9 rounded two decimal places

Answers

Answer:

~ 83.90

2 decimal place is basically the hundredths place
Rounding it 2 decimal places will end up with 83.90.

V=15.81 V, P = 500 mW, I=

Answers

Answer:

0.032 Amperes

Step-by-step explanation:

in this question We are given;

Voltage, V =15.81 VPower, P = 500 mW (Milli-watts)

We are required to determine the current, I

We need to know that power, P is given by the product of current and voltage.

That is;

Power = VI

But; 1 mW = 0.001 Watts

Thus, 500 mW = 0.5 watts

Rearranging the formula;

I = Power ÷ V

 = 0.5 watts ÷ 15.81 V

 = 0.0316 Amperes

 = 0.032 A

Thus, the current, I is 0.032 Amperes

A certain drink is made by adding 4 parts water to 2.5 part drink mix. What percent of the mixture is water? Omit % sign in your answer. Round your answer to the nearest tenth.

Answers

The mixture contains 61.5% of water.

Step-by-step explanation:

Total parts = 4+ 2.5 = 6.5

Parts of water =4

parts of drink = 2.5

Percent of water in the mixture = 4 × 100/ 6.5

                                                     = 400/6.5

                                                      = 61.53%

It is rounded to the nearest tenth as 61.5%.

To find the percentage of water in the mix, we calculate the proportion of water (4 parts) to the total mixture (6.5 parts) and multiply by 100%, resulting in approximately 61.5%.

To determine what percent of the mixture is water when a drink is made with 4 parts water and 2.5 parts drink mix, we add together the parts of water and drink mix to find the total parts of the mixture. Then, we calculate the fraction of the mixture that is water and convert that to a percentage.

First, we find the total parts of the mixture:

Water: 4 parts

Drink mix: 2.5 parts

Total parts: 4 + 2.5 = 6.5 parts

Next, we calculate the percentage of the mixture that is water:

(Parts of water / Total parts) × 100%

(4 parts / 6.5 parts) × 100% \approximately 61.5%

Rounding to the nearest tenth, we get:

61.5

Does Y+7=2x and
2y=4x-14 have a solution?

Answers

Answer: It has no exact solution

Please Help Me!
A sphere's center is located at (0,0,0). The point (4,9,-5) is located on the surface of the sphere. Find the length of the radius of the sphere. Round to the nearest tenth.

Answers

Answer:

The length of the radius of the sphere is 11.0 units

Step-by-step explanation:

we know that

To calculate the radius of the sphere, we can use the distance formula

[tex]d=\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}+(z_2-z_1)^{2}}[/tex]

where

d is the length of the radius

(x_1,y_1,z_1) is the center of the sphere

and

(x_2,y_2,z_2) is one point on the surface of the sphere

we have

[tex](x_1,y_1,z_1)=(0,0,0)[/tex]

[tex](x_2,y_2,z_2)=(4,9,-5)[/tex]

substitute in the formula

[tex]d=\sqrt{(4-0)^{2}+(9-0)^{2}+(-5-0)^{2}}[/tex]

[tex]d=\sqrt{(4)^{2}+(9)^{2}+(-5)^{2}}[/tex]

[tex]d=\sqrt{122}[/tex]

[tex]d=11.0\ units[/tex]

therefore

The length of the radius of the sphere is 11.0 units

Which graph represents the solution for the equation -5/2x -1 = 4x + 2?

Answers

Answer:

D would be the best choice.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Did the test

Simplify: (-7x^2y^4)(-2x^3y^4)

Answers

Answer: 14x^5y^8

Step-by-step explanation:

(-7x^2y^4)(-2x^3y^4)

-7x^2y^4*-2x^3y^4, next take out the constants

−(7×−2)x^2x^3y^4y^4, -(7*-2)=14, so now you just need to add the variables.

(x^2+x^3)+(y^4+y^4)=x^5y^8

14x^5y^8

Hope this helps, HAVE A BLESSED AND WONDERFUL DAY! I also hope you had a great Superbowl Weekend! :-)

- Cutiepatutie ☺❀❤

What is the missing number from 81,-,9,-,1

Answers

Answer:

-27 and -3

Step-by-step explanation:

81, -27, 9, -3, 1

The missing numbers in the sequence are -27 and -3. The sequence is 81, -27, 9, -3, 1

What is Sequence?

Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

The given sequence is 81,-,9,-,1

we have to find the missing number.

As we observe when 81 is divided by -3 we get -27.

Now when -27 divided by -3 we get 9

When 9 is divided by -3

we get -3

When -3 is divided by -3

the value will be 1.

81, -27, 9, -3, 1

Hence, the missing numbers in the sequence are -27 and -3. The sequence is 81, -27, 9, -3, 1

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Find the value of the expression below. Express your answer in scientific notation.

Answers

The value of the expression is [tex]8.8 \times 10^{-2}[/tex].

Solution:

Given expression:

[tex]$\frac{\left(4.8 \times 10^{8}\right)}{\left(1.2 \times 10^{4}\right)} \times\left(2.2 \times 10^{-6}\right)[/tex]

To find the value of the given expression:

Using exponent rule: [tex]a^m\times a^n=a^{m+n}[/tex]

[tex]$\Rightarrow\frac{\left(4.8 \times 10^{8-6}\right)}{\left(1.2 \times 10^{4}\right)} \times\left(2.2 \right)[/tex]

[tex]$\Rightarrow\frac{\left(4.8 \times 10^{2}\right)}{\left(1.2 \times 10^{4}\right)} \times\left(2.2 \right)[/tex]

Using exponent rule: [tex]\frac{a^m}{a^n} =a^{m-n}[/tex]

[tex]$\Rightarrow\frac{\left(4.8 \times 10^{2-4}\right)}{1.2} \times 2.2[/tex]

[tex]$\Rightarrow\frac{\left(4.8 \times 10^{-2}\right)}{1.2} \times 2.2[/tex]

Since [tex]\frac{4.8}{1.2}=4[/tex]

[tex]$\Rightarrow(4 \times 10^{-2})\times 2.2[/tex]

[tex]$\Rightarrow 8.8 \times 10^{-2}[/tex]

Hence the value of the expression is [tex]8.8 \times 10^{-2}[/tex].

Which graph is the result of reflecting f(x) = One-fourth(8)x across the y-axis and then across the x-axis? On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and incresaes into quadrant 1. It goes through the y-axis at (0, 0.25) and goes through (1, 2). On a coordinate plane, an exponential function approaches y = 0 in quadrant 1 and increases in quadrant 2. It crosses the y-axis at (0, 0.25) and goes through (negative 1, 2). On a coordinate plane, an exponential function approaches y = 0 in quadrant 3 and decreases into quadrant 4. It crosses the y-axis at (0, negative 0.25) and goes through (1, negative 2). On a coordinate plane, an exponential funtion increases in quadrant 3 into quadrant 4 and approaches y = 0. It goes through (negative 1, negative 2) and crosses the y-axis at (0, negative 0.25).

Answers

On a coordinate plane, an exponential function increases in quadrant 3 into quadrant 4 and approaches y tends to zero, which goes through (-1,-2) and crosses the y-axis at (0,-0.25).

What is a function?

Function is a type of relation, or rule, that maps one input to specific single output.

Given that f(x) = 1/4[tex](8)^x[/tex]

The Reflecting f(x) across the y - axis,

[tex]g(x) = \frac{1}{4} 8^{-x}[/tex]

g(x) reflecting across the x-axis,

The given graph, where f(x) represented by red, g(x) represented by green and function h(x) represented by purple

We conclude that exponential function increases in quadrant 3 into quadrant 4 and approaches y tends to zero, which goes through (-1,-2) and crosses the y-axis at (0,-0.25).

Therefore; the answer is option D; On a coordinate plane, an exponential funtion increases in quadrant 3 into quadrant 4 and approaches y tends to zero, which goes through (-1,-2) and crosses the y-axis at (0,-0.25).

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Answer:

Your answer is D

Step-by-step explanation:

I'm being forced to redo a handful of my answers since they were deleted...

"On a coordinate plane, an exponential function increases in quadrant 3 into quadrant 4 and approaches y = 0. It goes through (negative 1, negative 2) and crosses the y-axis at (0, negative 0.25)."

Which inequality is equivalent to
6. X+7
5x+3?

Answers

Step-by-step explanation:

(1/2x)+7 is a equation

Answer:

on edgenuit it's c

Step-by-step explanation:

-15x-53/x^2+8x+15

what is the equation of the following line written in slope intercept form?
a. y= -11x-7
b. y= -7x+11
c. y= -7x-11

Answers

Answer:

C

Step-by-step explanation:

slope is change in y over the change in x

points on graph are (-1, -4) and (-2, 3)

-4-3/-1+2 = -7/1 = -7

y = -7x + b

put one of the points in for x and y to solve for b

3 = -7 x -2 + b

3 = 14 + b

subtract 14 from both sides.

b = -11

Answer:

c

Step-by-step explanation:

Clare has $150 in her bank account. She buys a bike for $200. What is Claire's account balance now?

Cooldown
unit 5, lesson 4
4.4​

Answers

Answer:

-50

Step-by-step explanation:

she only had 150, but spent 200 she overdrew

she has an overdraft of $50

Answer:-50

Step-by-step explanation:150-200=-50

What is the y-intercept of the function f(x)=4 -- 5x?
Mark this and return
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Answers

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What would be the situation if the price was moved from p2 to p1?A)the price would be too lowthe price would be droppedthere would be a surplus of widgetsthere would be a shortage of widgets Derive an expression similar to the equation for the energy levels above for the single electron in He+ and Li2+ . Calculate the numerical values for the 1s levels (n = 1)? A species of beetle expresses a pigment protein as an adult but not as a juvenile. The pigment is encoded by the gene PIG. A protein called KID, which is only present in juveniles, is a transcription factor that binds to the DNA near the protein-coding sequence for PIG. Do you think KID is a negative regulator of PIG or a positive regulator? Why?Some individuals in the species never express the pigment (neither as a juvenile or as an adult). Do you think they have a mutation in the KID gene, the KID binding site, or in the protein-coding part of the PIG gene? Why? (the why part of the question will only be used to help us give possible credit for answers different than what we think is the clearest answer) A gas occupies 97 mL at 130 kPa. Find its volume at 225 kPa You must show all of your work to receive credit. Also, name the gas law you used to solve the problem. 1 point- Identify which of the Gas Laws you used to solve the problem. 3 points- Show your work on solving the problem. (4 points) To prepare for a marathon, Henry gets a new pair of running shoes. If Henry runs 20 miles each day in week 1 and adds 12mi to his daily routine each week, what is the total mileage on Henry's shoes after 5 weeks? Write as an equation/inequality. x is less than or equal to 38. An organization has opened a new office in a somewhat risky neighborhood. The office manager installs a CCTV system to monitor the perimeter and main entrance 24 hours a day. This an example of a _____________ control. a. Detective b. Corrective c. Preventive d. Administrative A 7.41 mass % aqueous solution of sodium chloride has a density of 1.14 g/mL. Calculate the molarity of the solution. Give your answer to 2 decimal places. One of the many steps in the production of toothpaste is to screw the caps on the tubes, which is still a manual process, performed by on man, Mr. Bucket. Which statement about this situation is BEST?A) This is most appropriate for an output measure of capacity.B) In this case, the capacity of this step is not the maximum rate of output.C) This is most appropriate for an input measure of capacity.D) Utilization of the worker at this process step cannot be measures as it is a manual process. Shannon hears a strange rustling noise on her nature walk and then sees a black bear in the clearing. She feels terror but escapes without injury. Now when she walks in the woods, when she hears a rustling noise she instantly feels fear. This BEST illustrates:__________ Which of the following is/are true? A. Sympatric speciation most commonly occurs due to sexual (mate) selection. B. Sympatric speciation can only occur when a single species occupies the same geographic location. C. A plant species obtain an extra set of homologous chromosomes. This would be an example of sympatric speciation. D. A flood causes the loss of all red-headed males ducks in a population. As a result, the red-headed female ducks must breed with yellow-headed male ducks, which are not their preferred mates. This is an example of sympatric speciation. E. The fungal pathogen Mycosphaerella graminicola is found worldwide with its host, cultivated wheat. Mycosphaerella graminicola is host specific and does not occur on other host species such as Barley. The closest known relative of M. graminicola is a barely-adapted pathogen Septoria passerinii. You are researching these fungi and have the following hypothesis: If M. graminicola and S passerinii do not have a common ancestor that lived in one geographic area where wheat and barley grew, it may be possible that a common ancestor gave rise to these two species. This would be classified as sympatric speciation. Your hypothesis and definition of sympatric speciation is logical. What identity can be used to rewrite the expression 27x^3-64? Suppose you are choosing between two checking accounts. One account charges you $1.50 ATMfee every time you withdraw money from a non-sponsored ATM, and the other charges you noATM fees and a $15 monthly fee.How many ATM transactions are equivalent to $15 in monthly fees? How would the role of a project manager be different in an agile project life cycle, versus a plan-driven or traditional project life cycle? Which of the following statements is correct?a.An advantage of the corporate form for many businesses is the fact the corporate tax rate always exceeds the personal tax rate, which is the rate at which proprietorships and partnerships are taxed.b.Because corporations enjoy the benefits of limited liability, easy transferability of ownership interest, unlimited life, and favorable tax status relative to the situation for partnerships and proprietorships, most large businesses choose to incorporate.c.Because lawyers have the incorporation process so automated (e.g., word processors for drawing up the necessary papers), it is less expensive to form a corporation than to form a proprietorship or partnership.d.There are more partnerships and sole proprietorships than corporations in the U.S., but corporations produce more goods and services than do other forms of business.e.A major disadvantage of a regular partnership or a corporation as a form of business is the fact that they do not offer their owners limited liability, whereas proprietorships do. Suppose that the rise in the price of coffee beans resulted in a large decrease in the supply of Starbucks coffee while the lower prices by its competitor resulted in only a small decrease in demand. The net impact would be a:________.