Idk how to answer this question

Idk How To Answer This Question

Answers

Answer 1

Answer:

It's z^11

Step-by-step explanation:

To multiply exponents with the same base (z), you add the exponents so in this case you add 5 and 6 to get z^11

Answer 2

Answer:

[tex]z^{11}[/tex]

Step-by-step explanation:

[tex]z^{a} *z^{b}= z^{a+b} \\z^{5} *z^{6}= z^{5+6} = z^{11}[/tex]


Related Questions

Please. Help me answer this question.

Answers

i believe all real answers, im not sure tho

\text{Min}Minstart text, M, i, n, end text Q_1Q 1 ​ Q, start subscript, 1, end subscript \text{Median}Medianstart text, M, e, d, i, a, n, end text Q_3Q 3 ​ Q, start subscript, 3, end subscript \text{Max}Maxstart text, M, a, x, end text 121212 181818 232323 262626 292929 The five-number summary suggests that about 75\%75%75, percent of lakes in Minnesota have more than what number of house boats? Choose 1 answer:

Answers

Answer:

18 Houseboats

Step-by-step explanation:

Given the set of numbers

12 18 23 26 29

Minimum = 12

First Quartile, Q₁ = 18

Median, Q₂ = 23

Third Quartile, Q₃ = 26

Maximum = 29

The first 25% of lakes have less than or equal to 18 houseboats.

Therefore, the 5-Number Summary suggests that about 75% of lakes in Minessotta have more than 18 Houseboats.

Answer:

18

YEET

Step-by-step explanation:

k + 22 = 29
Solve the equation.

Answers

Look at the attached picture

Hope it will help u...

Answer:

k=7

Step-by-step explanation:

To solve, we need to isolate the variable: k

k +22 =29

Subtract 22 from both sides to "reverse" the addition

k+22=29

 -22  -22

k=7

the diameter of a clock’s face is 6 inches. find the length of the minor arc formed my the hands of the clock at 4:00.

please help!

Answers

Answer:

4:30

:'?<>>{}_-(*>>>....,,::"{}}||\

4;30
I hope this helps you

The sum of the measures of a regular 25 sided polygon is 4140 degrees. What is the measure of each interior angle?

Answers

Answer: 165.6

Step-by-step explanation:

The formula for finding the interior angle of a polygon is

= (2n - 4) x right angle

= (2n - 4)90 ,or

(n - 2)180

Now since the sum total of the interior angle of the 25 sided regular polygon = 4140 using the formula above,

Therefore, the value of each of the interior angle will be

= 4140/25

= 165.6

Final answer:

Each interior angle of a regular 25-sided polygon, with sum of the interior angles at 4140 degrees, measures 165.6 degrees.

Explanation:

The sum of the measures of a regular 25-sided polygon is 4140 degrees. To find the measure of each interior angle of a regular polygon, we use the formula:

(n - 2) × 180° = Sum of interior angles,

where n is the number of sides in the polygon. Since we are given that the sum of the interior angles is 4140 degrees for a 25-sided polygon, we can plug in the values into our formula:

(25 - 2) × 180° = 4140 degrees,

which simplifies to:

23 × 180° = 4140 degrees.

This confirms the given sum of the interior angles. To find the measure of one interior angle, we divide the sum by the number of angles:

4140 degrees ÷ 25 = 165.6 degrees.

So the measure of each interior angle in a regular 25-sided polygon is 165.6 degrees.

Suppose Paul kicks a soccer ball straight up into the air with an initial velocity of 96 feet per second. The function f(x) = -16t2 + 96t gives the height, in feet, of the soccer ball after t seconds. This function is shown in the graph below.



What do the x-intercepts represent in this real life situation in regards to the height of the soccer ball at that time?

Answers

Answer: the x intercepts represent the time in seconds. It shows how long the soccer ball was in the air and when it hit the ground. It tells us that the soccer ball hit the ground at 6 seconds

Alexa is pushing a construction barrel up a ramp 4 feet long into the back of a truck. She is using a force of 120 pounds in a horizontal direction and the ramp is 45 degrees from the horizontal. How much work is Alexa doing?

Answers

Answer:

Alexa did about 339.41 foot-pound of work in moving the barrel up the ramp.

Step-by-step explanation:

Work done is defined as the dot product of Force and displacement i.e.

W = F.d

Expanding the dot product, we get:

W = Fd cos(Ф)

Here,

W is the amount of work done, F is the Force applied, d is the displacement and Ф is the angle made by Force F with the horizontal. If we observe the given statement we can clearly see that:

Force applied = F = 120 pounds

Displacement = d = 4 feet

Angle of F with horizontal = Ф = 45 degrees

Substituting the values in the formula we get:

W = 120 x 4 x cos(45)

W = 339.41 foot-pound

This means, Alexa did about 339.41 foot-pound of work in moving the barrel up the ramp.

Final answer:

Alexa is doing approximately 339.33 pounds-feet of work to push the construction barrel up a 4-foot ramp at a 45-degree angle, calculated using the cosine of the angle to find the component of the force parallel to the direction of motion.

Explanation:

To calculate the work done by Alexa, we need to consider the component of the force she exerts that is parallel to the direction of motion up the ramp. Since the force exerted is in the horizontal direction and the ramp is at a 45-degree angle to the horizontal, we use the cosine of the angle to find this component. The formula for work is:

Work = Force × Distance × cos(θ)

Where the force is 120 pounds, the distance is 4 feet, and θ (theta) is the angle of the ramp, which is 45 degrees.

The component of the force parallel to the ramp is 120 pounds × cos(45°) = 120 pounds × 0.7071 (since the cosine of 45 degrees is √2/2, which approximately equals 0.7071).

The work performed by Alexa is:

Work = 120 pounds × 0.7071 × 4 feet × = 339.325 pounds-feet

Alexa is doing approximately 339.33 pounds-feet of work to push the construction barrel up the ramp.


Evaluate 6c + e2 when c = 6 and e = 2

Answers

[tex]c=6, e=2; so\\6\times6+2\times2=40[/tex]

Two number cubes each have sides that are labeled 1 to 6. Isis rolls the 2 number cubes. What is the probability that the sum of the numbers rolled will equal 4?

Answers

Answer:

The probability that the sum of the numbers rolled will equal 4 is [tex]\frac{1}{12}[/tex]

Step-by-step explanation:

Total possible outcome is 36

The sample space for the dice is shown below

[tex]\left[\begin{array}{cccccc}1,1&1,2&1,3&1,4&1, 5&1,6\\2,1&2,2&2,3&2,4&2, 5&2,6\\3,1&3,2&3,3&3,4&3, 5&3,6\\4,1&4,2&4,3&4,4&4, 5&4,6\\5,1&5,2&5,3&5,4&5, 5&5,6\\6,1&6,2&6,3&6,4&6, 5&6,6\end{array}\right][/tex]

From the above sample, the event of sum equals 4 is:

(1, 3)

(2, 2)

(3, 1)

Number of outcome with sum equals 4 is 3

[tex]Probability = \frac{number of possible outcome}{number of total outcome} \\Probability = \frac{3}{36} = \frac{1}{12}[/tex]

The probability that the sum of the numbers rolled will equal 4 is [tex]\frac{1}{12}[/tex]

Answer:

0.3333

Step-by-step explanation:

Out of 6x6 = 36 different scenarios that could happen when rolling the 2 cubes, there are 3 cases where the sum of the numbers rolled will equal 4:

(1,3) (3,1) and (2,2)

So the probability for these 3 cases to happen out of 36 is

[tex]\frac{3}{36} = \frac{1}{3}[/tex] or 0.3333

John determined that the unit rate for his trip to Orlando was 70 miles every 2 hours. Why is John's determination incorrect? Calculate the actual unit rate for his trip.

Answers

Answer:

John's determination incorrect because he didn't give a unit rate which is miles per hour (mph).

The actual unit rate for his trip is v;

v = 70 miles ÷ 2 hours

v = 35 miles per hour

v = 35mph

Step-by-step explanation:

Given;

John travels 70 miles in 2 hours

John's determination incorrect because he didn't give a unit rate which is miles per hour (mph).

The actual unit rate for his trip is;

v = 70 miles ÷ 2 hours

v = 35 miles per hour

v = 35mph

The label on Adriana's carton of juice has this information listed. One serving size equals 12 cup. Each serving has 30% of the recommended daily amount of vitamin C. Yesterday, Adriana drank 214cups of juice. What percent of the recommended daily amount of vitamin C was in the juice Adriana drank yesterday? 33.75% 67.5% 120% 135%

Answers

Answer:

135%

Step-by-step explanation:

we know that

One serving size equals 1/2 cup. Each serving has 30% of the recommended daily amount of vitamin C.

step 1

Using proportion

Find out the number of servings if Adriana drank 2 1/4 cups of juice

so

[tex]\frac{1}{\frac{1}{2}}=\frac{x}{2\frac{1}{4}}[/tex]

Convert mixed number to an improper fraction

[tex]2\frac{1}{4}=2+\frac{1}{4}=\frac{9}{4}[/tex]

substitute in the proportion

[tex]\frac{1}{\frac{1}{2}}=\frac{x}{\frac{9}{4}}\\\\x=\frac{(9/4)}{(1/2)}\\\\x=4.5\ servings[/tex]

step 2

we know that

Each serving has 30% of the recommended daily amount of vitamin C.

so

Multiply the number of servings by 30%

[tex]4.5(30\%)=135\%[/tex]

A 3 cm * 3 cm rectangle sits inside a circle with radius of 4 cm.
What is the area of the shaded region?
Round your final answer to the nearest hundredth.

Answers

Answer:

44.24

Step-by-step explanation:

Khan academy

Answer:

Step-by-step explanation:

What is the value of z in 1/4 raised to the 3z-1 = 16 raised to the z+2 times 64 raised to the z-2

Answers

Answer:

  3/8

Step-by-step explanation:

In terms of powers of 4, we have ...

  (4^-1)^(3z -1) = (4^2)^(z+2)×(4^3)^(z-2)

Taking logarithms base 4*, we have ...

  -(3z -1) = 2(z +2) +3(z -2)

  -3z +1 = 5z -2 . . . . simplify

  3 = 8z . . . . . . . . . . add 3z+2

  z = 3/8 . . . . . . . . . .divide by 8

_____

* This is equivalent to equating exponents of the same base. You're making use of the rules of exponents ...

  (a^b)^c = a^(bc)

  (a^b)(a^c) = a^(b+c)

  1/a = a^-1

and the logarithm relations ...

  logb(b^x) = x

  log(xy) = log(x) +log(y)

Amanda can word process 7 words in 6 seconds. At this rate, how many words can she word process in 3 minutes?
210
350
35
3.5

Answers

Answer:

He can process 210 words in 3 minutes

Lucy invested $30,000 in an account paying an interest rate of 6.6% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 9 years?

Answers

Answer:

A≈54300

Step-by-step explanation:

Final answer:

To calculate the final amount in the bank account, we can use the formula A = P(e(rt)), where A is the final amount, P is the principal amount, e is the base of natural logarithms, r is the interest rate, and t is the time in years. In this case, Lucy invested $30,000 at an interest rate of 6.6% compounded continuously for 9 years. By substituting these values into the formula and evaluating the expression, the final amount in the account after 9 years is approximately $53,509.79.

Explanation:

To calculate the final amount in the bank account, we can use the formula: A = P(e(rt)), where A is the final amount, P is the principal amount, e is the base of natural logarithms, r is the interest rate, and t is the time in years. In this case, Lucy invested $30,000 at an interest rate of 6.6% compounded continuously for 9 years.

First, we need to convert the interest rate to a decimal by dividing it by 100: 6.6% = 0.066. Then, we can substitute the values into the formula: A = 30000(e0.066*9)). Using a calculator, we can evaluate this expression to get the final amount, which is approximately $53,509.79.

Please help me with the Square Root problems, Part 4. Please Show and Check the work.

[tex]13. x + 2 = 4\sqrt{x-2} \\\\14. \sqrt{2x-1} +\sqrt{3x-12} = 0\\\\15. x = 2\sqrt{x-4} + 4\\\\16. x-2= \sqrt{9x-36}[/tex]

Answers

Answers and Step-by-step explanations

13. Square both sides: x^2 + 4x + 4 = 16(x - 2) = 16x - 32

Move all the terms to one side: x^2 - 12x + 36 = 0

Factorize: (x - 6)^2 = 0  ⇒  x = 6

14. Move one of the roots to one side: [tex]-\sqrt{2x-1} =\sqrt{3x-12}[/tex]

Square both sides: 2x - 1 = 3x - 12

Solve for x: x = 11

15. Subtract 4 from both sides: x - 4 = [tex]2\sqrt{x-4}[/tex]

Square both sides: x^2 - 8x + 16 = 4(x - 4) = 4x - 16

Move all the terms to one side: x^2 - 12x + 32 = 0

Factorize: (x - 4)(x - 8) = 0  ⇒  x = 4 or x = 8

16. Square both sides: x^2 - 4x + 4 = 9x - 36

Move all the terms to one side: x^2 - 13x + 40 = 0

Factorize: (x - 5)(x - 8) = 0  ⇒  x = 5 or x = 8

Hope this helps!

Answer:

13. x = 6

14. No real solutions

15. x = 4, 8

16. x = 5, 8

Step-by-step explanation:

13. Square both sides

(x + 2)² = 4²(x - 2)

x² + 4x + 4 = 16x - 32

x² - 12x + 36 = 0

x² - 6x - 6x + 36 = 0

x(x - 6) - 6(x - 6) = 0

(x - 6)(x - 6) = 0

x = 6

14. sqrt(2x - 1) = -sqrt(3x - 12)

No real solutions because a positive square root can not be equal to a negative square root

15. x - 4 = 2sqrt(x - 4)

(x - 4)² = 4(x - 4)

(x - 4)² - 4(x - 4) = 0

(x - 4)(x - 4 - 4) = 0

(x - 4)(x - 8) = 0

x = 4, 8

16. x - 2 = sqrt(9x - 36)

(x - 2)² = (9x - 36)

x² - 4x + 4 - 9x + 36 = 0

x² - 13x + 40 = 0

x² - 5x - 8x + 40 = 0

x(x - 5) - 8(x - 5) = 0

(x - 8)(x - 5) = 0

x = 5, 8

Solve the equation.
- 2c + 6 = -8

Answers

Answer:

7

Step-by-step explanation:

We need to isolate the variable:

-2c + 6 = -8

-2c + 6 - 6 = -8 - 6

-2c = -14

-2c/-2 = -14/-2

c = 7

Thus, c = 7.

Hope this helps!

Method:

-2c+6=-8

     -6  -6

-2c=-14

/-2   /-2

Answer:

c=7

Please help me with these square root problems, Part 1. Please show and check the work.

[tex]1. \sqrt{2x-5} - \sqrt{x+6} =0\\\\2. \sqrt{2x-5} + \sqrt{x+6}=0\\ \\3. \sqrt{x-5} - \sqrt{x+6}= 2\\ \\4. \sqrt{2x-5} -\sqrt{x+6}=2[/tex]

Answers

Answer:

x = 11

Step-by-step explanation:

sqrt (2x - 5) = sqrt (x + 6)

Square both sides

2x - 5 = x + 6

x = 11

Verify:

sqrt[2(11) - 5] = sqrt(11 + 6)

sqrt(17) = sqrt(17)

Answer:

x = 11

Step-by-step explanation:

√2x-5 - √x+6 = 0

√2x-5 = √x+6

(√2x-5)² = (√x+6)²

2x - 5 = x + 6

2x - x = 6 + 5

x = 11

what is the answer to the equation |n-6|+8=22

Answers

Answer:

n=20,−8

Step-by-step explanation:

If a stone is thrown up at 10 m per second from a height of 100 meters above the surface of the moon, its height in meters after t seconds is given by s = 100+10t-0.8t^2 . What is its acceleration?

Answers

Answer:

-1.6 m/s

Step-by-step explanation:

According to the equations of motion, the height in meters (s) after t seconds is:

[tex]s(t) = s_0+v_0t+a\frac{t^2}{2}[/tex]

If the initial position is 10 m and the initial velocity is 10 m/s:

[tex]s(t) = 100+10+a\frac{t^2}{2}[/tex]

When comparing it with the given height equation, it is possible to obtain the acceleration as follows:

[tex]100+10+a\frac{t^2}{2} =100+10t-0.8t^2\\\frac{a}{2}=-0.8\\ a=-1.6\ m/s[/tex]

Acceleration is -1.6 m/s.

In ΔDEF, the measure of ∠F=90°, the measure of ∠E=79°, and EF = 23 feet. Find the length of DE to the nearest tenth of a foot.

Answers

Answer:

120.4ft

Step-by-step explanation:

Find the diagram in the attachment.

The triangle shown is a right angled triangle with the side DE as the hypotenuse, EF is adjacent side while DF is the opposite side.

To get DE, we will use the SOH CAH TOA trigonometry identity

Using CAH which is defined as:

Cos(theta) = Adjacent/Hypotenuse

Cos 79°= 23/Hypotenuse

Hypotenuse = 23/cos79°

Hypotenuse = 23/0.191

Hypotenuse = 120.4feet

DE = 120.4feet (to nearest tenth)

Answer:

Step-by-step explanation:

The triangle DEF is right angle triangle

The missing  F

F=90 E=79 = 11

E=79 EF= 23

Find the Length of DE to the nearest tenth of a foot

# 15. Tycho wants to prepare a schedule for his exercise over the next few months. Every
week, he wants to exercise on the same days of the week. He does not want to exercise on
two consecutive days. He wants to exercise three days per week. How many schedules can he
choose from?
(A) 6
(B) 7
(C) 9
(D) 10
(E) 35​

Answers

A C E
Hope this helped :)

There are a total of 9 possible schedules that Tycho can choose from.

Thus, option (C) is correct.

Let consider the days of the week as Monday (M), Tuesday (T), Wednesday (W), Thursday (Th), Friday (F), Saturday (Sa), and Sunday (Su).

To create a schedule for exercise, Tycho needs to choose three days of the week to exercise such that no two exercise days are consecutive.

So, the possibilities are:

1. Tycho chooses Monday, Wednesday, and Friday.

The schedule is MW FSu.

2. Tycho chooses Monday, Wednesday, and Saturday.

The schedule is MW SaSu.

3. Tycho chooses Monday, Thursday, and Saturday.

The schedule is MT F SaSu.

4. Tycho chooses Monday, Thursday, and Sunday.

The schedule is MT SaSu.

5. Tycho chooses Tuesday, Thursday, and Saturday.

The schedule is TThSaSu.

6. Tycho chooses Tuesday, Thursday, and Sunday.

The schedule is TTSaSu.

7. Tycho chooses Tuesday, Friday, and Sunday.

The schedule is TFSaSu.

8. Tycho chooses Wednesday, Friday, and Sunday.

The schedule is W F SaSu.

9. Tycho chooses Wednesday, Thursday, and Saturday.

The schedule is W T FSaSu.

Thus, total of 9 possible schedules that Tycho can choose from.

Thus, option (C) is correct.

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An object is thrown off a 256-foot-tall building, and the distance of the object from the ground is measured every second. The function that models the height, h, of the object after t seconds is h(t) = –16t2 + 96t + 256. Determine the time when the object hits the ground.

After how many seconds does the object hit the ground?

2
4
8
16

Answers

Answer:

C. 8

At 8 seconds the object will hit the ground.

Answer: C. 8

Step-by-step explanation:

just did this

15 POINTS PLZ HELP
It’s all in pic

Answers

Answer:

D

Step-by-step explanation:

it's In the picture

please like and Mark as brainliest

Answer:

Volume of the cylinder = D) 113.04 cubic cm

Step-by-step explanation:

[tex] \boxed{ \bold{formula = \pi \: {r}^{2} \: h }}[/tex]

= 3.14 × 2 × 2 × 9

= 3.14 × 36

= 113.04 cm³

Angles PTQ and STR are vertical angles and congruent.
Which chords are congruent?
O QP and SR
O QR and PO
PR and RS
PR and PS

Answers

Answer: QP and SR on ed

Step-by-step explanation:

The chords in the circle that are congruent are PQ and SR.

Circle

Circle is the locus of a point such that its distance from a fixed point known as the center is constant.

Given from the diagram that:

∠PTQ = ∠STR (Vertical opposite angles are congruent)

Hence:

PQ = SR

The chords in the circle that are congruent are PQ and SR.

Find out more on Circle at: https://brainly.com/question/22965557

On a coordinate plane, 2 lines are shown. The first solid straight line has an equation of y greater-than-or-equal-to negative one-fifth x + 1, has a negative slope, and goes through (negative 5, 2) and (0, 1). Everything above the line is shaded. The second dashed solid line has equation y less-than 2 x + 1, has a positive slope, and goes through (negative 2, negative 3) and (0, 1). Everything to the right of the line is shaded. Which ordered pairs make both inequalities true? Check all that apply. (–2, 2) (0, 0) (1,1) (1, 3) (2, 2)

Answers

Answer:

The answers are (1,1) and (2,2) or C and E

Step-by-step explanation:

Just did it on edge 2021

The ordered pairs are (1,1) and (2, 2).

What are ordered pairs?

In arithmetic, an ordered pair is a pair of gadgets. The order in which the items appear in the pair is good-sized: the ordered pair is different from the ordered pair except for a = b. Ordered pairs also are known as 2-tuples, or sequences of period 2.

What are ordered pairs examples?

An ordered pair is a pair of numbers in a specific order. for instance, (1, 2) and (- 4, 12) are ordered pairs. The order of the two numbers is crucial: (1, 2) isn't equal to (2, 1) -- (1, 2)≠(2, 1)

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determine which of the following are functions. select all that apply

Answers

Relation (A) and polynomial (D) y = -4x² + 45x + 9 are functions rest are not function.

What is a linear function?

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

In another word, a linear function is a function that varies linearly with respect to the changing variable.

In option (A) ;

For every single unique input, there is single unique output so it will function.

In option (B) ;

Here for x = 0,2 and y = 5 so it means for two inputs one output so it will not be a function.

In option (C) ;

For x = 0 , y = 2 , 4 so two output for one input it means it is also not a function.

In option (D) ;

y = -4x² + 45x 9 it gives one input for one output.

Hence "Relation (A) and polynomial (D) y = -4x² + 45x + 9 are functions rest are not function".

For more about the linear function,

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Given question is incomplete so image has been attached

What is the length of PR?

Answers

Answer:

[tex]8\sqrt{3}[/tex]

Step-by-step explanation:

2/3 pi radians =   2/3 * 180 =  2  * 60 =  120 degrees

split triangle in half:

30, 60, 90  triangle

1/2 PR= 4 root   3

The length of a rectangle is nine inches more than its width. Its area is 850 square inches. Find the width and length of the rectangle.

Answers

Answer:

width= 25 inches

length= 34 inches

Step-by-step explanation:

width x length = 850 in²

w x (9+ w ) = 850 in²

9w+ w²=850 in²

9w + w²-850 =0

solve for w using quadratic formula

w= {-9 ±√(9)²-4(1)(-850)} ÷2(1)

w= 25; -34

The width is 25 because measurements can't be negative.

width= 25

length= 25+9=34

The diagram shows a square with a perimeter of 40 cm

Answers

Answer:

10cm

Step-by-step explanation:

If you are asking what is the length of each side?

The answer is simple first divide the total perimeter by the number of sides.(ONLY FOR A SQUARE) then you get your length.

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Alfonso does not materially participate in this partnership and he has $1,000 of passive income from other sources.a. How much of Alfonso's loss limited by his tax basis?b. How much of Alfonso's loss is limited by his at-risk amount?c. How much of Alfonso's loss is limited by the passive activity loss rules? In a general partnership: no partner can be held legally responsible for decisions since the partnership itself is a legal entity. each partner is held responsible for an agreement/decision made by any one of the partners. partners can be held responsible only for decisions they make personally. no decision is binding unless all partners agree to it in writing. John asked the players on his hockey team their height ininches and listed the results below. What is the range ofthe data set? Round to the nearest tenth when necessary76, 72, 70, 68, 72, 62 McGregor argues that ___ is self-fulfilling. If management expects little from its workers, little is what theyll get.Theory XTheory YTheory ATheory B The Sherman Antitrust Act of 1890 was the first federal act passed with the intent of outlawing monopolisticbusiness practices and prohibiting the establishment of What philosopher who helped shape Chinese thought is known as the First Teacher? Assume again that Andretti Company has sufficient capacity to produce 120,150 Daks each year. A customer in a foreign market wants to purchase 31,150 Daks. If Andretti accepts this order it would have to pay import duties on the Daks of $3.70 per unit and an additional $18,690 for permits and licenses. The only selling costs that would be associated with the order would be $2.40 per unit shipping cost. What is the break-even price per unit on this order? (Round your answers to 2 decimal places.) Paul Solomon is the owner of Solly's, an upscale restaurant in Tampa, Florida. Each year, Paul spends about $150,000 in advertising. As this year's ad budget decision must be made, Paul decides that he wants to know just how good his advertising dollars are working for him. He hires Getty Research Associates who recommend that he establish a baseline of awareness. Getty recommends a TOMA study which stands for Top-of-Mind-Awareness. TOMA studies consist of taking a probability sample of the population and asking respondents to name the first three "insert type of business here." Obviously, for Solly's, Getty would be asking respondents to name the top three restaurants in the area. The percentage of respondents that named Solly's would be a baseline measure of awareness, and future promotions could be evaluated in terms of whether or not they increased awareness. While Paul was intrigued with online surveys because they were fast and less expensive, Getty recommended a traditional telephone survey using the local Tampa directory. Getty also explained to Paul that "Plus One dialing" could be used to ensure that unlisted numbers were included. Though the directory was quite large and no electronic version was available, Getty felt they could efficiently draw the sample using a:A) simple random sampleB) judgement sampleC) stratified sampleD) cluster, area sampleE) systematic sample What are the solutions to the quadratic equation 4x^2 = 64? Read the excerpt from "Healthy Eating."But no one can ignore the damage being wrought by all this bad eating. More than one out of three adults in the United States -- 37.5 percent -- are obese, according to the Centers for Disease Control and Prevention. Some of the leading causes of death -- heart disease, stroke and type 2 diabetes -- are directly linked to obesity. And childhood obesity has tripled in the last 30 years. With more than a third of kids between 6 and 19 considered obese, the CDC reports, they are at substantially more risk for developing cardiovascular disease, diabetes, bone and joint conditions, and cancer.How does the author develop her argument in this part of the article?A. She provides statistics to show how harmful a poor diet can be. B. She gives several reasons why people should eat healthier foods.C. She shares anecdotes to show why children need healthier diets.D. She uses scientific facts to tell why eating habits have changed. Suppose a political candidate criticizes a government pollution permit policy that she says lets corporations buy and sell the right to pollute. She suggests that our right to breathe and the future of our planet require real regulation instead of this type of government policy.Which of the following describes why most economist would disagree with her statement?a) The environment is so important that it should be protected as much as possible regardless of the costb) A free market in tradable permits is typically more efficient that government regulationc) A corrective tax would result in a more efficient outcome than either tradable permits or government regulation wouldd) Clean air is a fundamental right, and government regulation will allow too much pollution There are 5280 feet in a mile. What fraction is represented by 240 feet? A car passes the Eiffel tower driving at a constant rate of 60 km per hour. A second car, traveling at a constant rate of 75 km per hour, passes the Eiffel tower a while later and then follows the first car. It catches the first car after traveling a distance of 75 km past the Eiffel tower. How many minutes after the first car passed the Eiffel tower did the second car pass the Eiffel tower In what kind of text would you expect to find this timeline?an online article about the evolution of bicyclesa newspaper article about a new bicycle shop in towna review of different kinds of bicycles in a sports magazinean e-book about bicycle-related sports in the Olympic Games Suppose you are going to conduct a two tail test concerning the population mean. Suppose that you do not know what the population standard deviation is and that you have a sample of 55 observations. If you are going to conduct this test at the .01 level of significance what is the critical value? In his book The Optimum Quantity of Money, Milton Friedman talks about a helicopter dropping $2,000 over a community. The cash dropped by the helicopter gives the people in this community more money to spend. A tax cut also has the same effect: it increases disposable income. Suppose tax cuts, analogous to the helicopter drop, were proposed as a method to shift the labor demand curve to the right following a recession. How effective do you think this policy would be? A. Somewhat effective, but only to the extent that most of the tax cut is concurrently spent on domestic output, that multiplier effects occur, and crowding out is small. B. Very effective, since tax cuts are concentrated among wealthy individuals who usually spend all or most of the extra income. C. Not effective, since the majority of the tax cut is saved and any portion spent leads to complete crowding out. D. Not effective, since the tax cuts go to consumers rather than to the employers (demanders) of labor. Find the value of x that makes m n.