Ms. Tang bought 4 sets of doughnut she created a package of treats using 2/3 of a set. How many packages did she create using all 4 sets​

Answers

Answer 1

Answer:

3

Step-by-step explanation:


Related Questions

How many times larger is the value of 0.76 than the value of 0.0076? I need the answer pls I am soo not smart ):

Answers

Answer:

100 times

Step-by-step explanation:

Because if you Multiplay 0.0076 for 100 times will get 0.76

The mean of 8 numbers is 21. What is the sum?

Answers

Answer:

168

Step-by-step explanation:

8 numbers.

Mean = add all up then divide by 8 so the opposite is 21*8 or 168

that is the sum.

Hope this helpzplz hit the crown :D

Average of 8 numbers is 21.

If each number is multiplied by 8 then the average will also get eight times.

Therefore average is 21×8=168.

Explination:

Let eight numbers be x1 ,x2 ,x3, …….. x8.

To take average we add all numbers an divide by the total numbers we have

So avg is

(x1 + x2+x3+………..x8)÷8=21

Now all numbers are multiplied by eight

So eight we will be taking as common

Therefore average is

8 (x1+ x2+ x3………..x8)÷8

Now we know (x1+ x2+ x3………x8)÷8= 21

So it becomes

8×21

Which is equal to 168.
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Related Questions (More Answers Below)

If h(x) is the inverse of f(x), what is the value of h(f(x))? 0 1 x f(x) a.0 b.1 c.x d.f(x)

Answers

Answer:

x

Step-by-step explanation:

The composition of a function and its inverse is x.

what is the slope of this line ?

what is the slope of this line ?

Answers

Answer:

The slope of this line is 7/4 or 1.74 in decimal form.

m = 7/4 OR m = 1.75

Step-by-step explanation:

slope = y^2 - y^1 / x^2 - x^1

Let's pick any two points from the graph: (-1, -3) and (3, 4)

m = y^2 - y^1 / x^2 - x^1

m = 4 - (-3) / 3 - (-1)

m = 4 + 3 / 3 + 1

m = 7/4

m = 1.75

Answer:

m = 1.75 OR m = 7/5 in fraction form

Step-by-step explanation:

take any two points from the graph and plug them into the formula of slope.

slope = y2 - y1 / x2 - x1

What are 4 ways to care for your nervous system?.

Answers

The four ways to care for our nervous system are exercise, meditation, proper sleep and healthy food.

There are many ways to care and protect our nervous system. But some of the basics and the most important ways to care for our nervous system are to follow a basic routine which includes regular exercise, practicing meditation daily, having proper sleep for at least seven hours a day and having healthy food mostly.

Now, doing exercise means that we are constantly engaged in some kind of physical activity and healthy food also means to have a balanced lifestyle.

Hence, the four ways to care for our nervous system are exercise, meditation, proper sleep and healthy food.

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PLS HELP ME i forgot i had homework and is due tomorrow

PLS HELP ME i forgot i had homework and is due tomorrow
PLS HELP ME i forgot i had homework and is due tomorrow

Answers

3. You have 300 euros. What is this amount in US dollars.

Answer:

462.20 US dollars ans,,.

Step-by-step explanation:

Sorry I can help you only for this question

when running a half marathon (13.1 miles), it took noah 8 minutes to run from mile marker 1 to mile marker 2, and 19 minutes to run from mile marker 2 to mile marker 4. how long did it take noah to run from mile marker 1 to mile marker 4?

Answers

Answer:

27

Step-by-step explanation:

Nate needs a square piece of tarp with an area of 94 square inches. How long should the
sides of the square be, rounded to the nearest tenth of an inch?

8.9 in.
23.5 in.
9.7 in.
9.3 in

Answers

Answer:

9.7 in.

Step-by-step explanation:

Let s = side of the square.

s² = 94 in.²

√s² = √(94 in.²)

s = 9.7 in.

p(x)=x^4 -2x^3 -11x +12x+36
The process of solving for all zeros (by hand) of the polynomial (work page)
The list of all solutions
The domain and range of the function
The end behavior of the function
The intervals for which the function is increasing and decreasing
Local Maximum(s)
Local Minimum(s)

Answers

x=−2x=-2 (Multiplicity of 22)

x=4x=4 (Multiplicity of 11)

What is 420÷60 hellllllllppp

Answers

Answer:7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

420÷60 is the same as 42÷6.

42 goes into 6, 7 times:

6, 12, 18, 24, 30, 36, 42.

Therefore, 420÷6 is 7.

Please use a calculator next time.

23. Match the figure with the number of unit cubes that would be needed to build each figure. Not every number of unit cubes will be used. ​

23. Match the figure with the number of unit cubes that would be needed to build each figure. Not every

Answers

We can see here that:

Figure 1 - 7 unit cubes.Figure 2 - 6 unit cubes.

What is cube?

A cube is a three-dimensional geometric shape that has six square faces, all of which are congruent (equal in size) and perpendicular to each other. It is a special type of rectangular prism where all edges have the same length, and all angles are right angles (90 degrees).

Cubes are commonly encountered in everyday life, such as dice, boxes, and Rubik's Cube puzzles. They have precise and uniform geometry, making them useful in various mathematical and engineering applications.

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Solve the following system using the substitution method. Enter your answer as an ordered pair in the form (x, y)(x,y)​.
\def\arraystretch{2} \begin{alignedat}{1}3 x-2 y&=4\\5 x+10 y&=-60\end{alignedat}
3x−2y
5x+10y


=4
=−60

Answers

The value of ordered pair of   (x,y) is (-2, -3)

How to solve the equation by substitution method ?

x - 5y = 13

4x - 3y = 1

Solve the equation for x

x - 5y = 13

Move '5y' to R.H.S and change it's sign

x=13+5y

Substitute the given value of X into the equation

4x - 3y = 1

4(13+5y)-3y = 1

Solve the equation for y

distribute 4 through the parentheses

52+20y -3y =1

Collect like terms

52+17y = 1

Move constant to R.H.S and change it's sign

17y = 1 - 52

Calculate

17y =  - 51

Divide both sides of the equation by 17

17y/17 = -51/17

Calculate

y = -3

Now, substitute the given value of y into the equation

x = 13 + 5y

x= =13+5x(-3)

Solve the equation for x

Multiply the numbers

= 13 - 15

Calculate the difference

= -2

The possible solution of the system is the ordered pair

( x , y )

( x , y ) = ( - 2 , - 3 )

-----------------------------------------------------------------------

Check if the given ordered pair is the solution of the system of equation

-2-5×(-3)=15

4×(-2)-3×(-3)=1

Simplify the equalities

13 = 13

1=1

Since all of the equalities are true, the ordered pair is the solution of the system

( x , y ) = ( - 2 , - 3 )

Therefore the value of ordered pair of   (x,y) is (-2, -3)

The complete question is : Solve the system by substitution. x−5y=13 4x−3y=1 Enter your answer as an ordered pair (x,y).

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What is the result of 1.58/3.793 written with the correct number of significant figures?
A.) 0.41656
B.) 0.4166
C.) 0.417
D.) 0.42
E.) 0.4

Answers

Answer:C

Step-by-step explanation:

Which of the following are assumptions underlying the simple linear regression model y = Bo B1x e? Check all that apply The variance of the error term e varies for differing values of x. The error term is a random variable with an expected value of zero. The error term is normally distributed. The error term E follows a chi-square distribution.

Answers

The error term is a random variable with an expected value of zero.2. The error term is normally distributed

The assumptions underlying the simple linear regression model `y = Bo + B1x + e` are: 1.

The variance of the error term e is constant across all values of x.Thus, the assumptions that are underlying the simple linear regression model `y = Bo + B1x + e` are the second and the third options, which are "The error term is normally distributed." and "The variance of the error term e is constant across all values of x." respectively.

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Part 1 (2 points) In which quarter(s) was the percentage change in velocity positive? Choose one or more: A. Q1 2020 B. Q22020 C. Q3 2020 Part 2 (2 points) Let's focus on the second quarter since the change in velocity is so dramatic. During that quarter, the CPI fell by 0.9%, real GDP fell by 9.0%, the money supply rose by 23%, and velocity changed by %. Give your answer to one decimal. Part 3 (2 points) Which of the following can explain such a large change in velocity that occurred during the second quarter? Choose one: A. People and banks were spending their money at faster rates. B. There was a substantial increase in the money supply. C. People and banks were holding on to their money longer. D. The inflation rate was negative.

Answers

Part 1: The percentage change in velocity was positive in Quarter 1 (Q1) 2020 and Quarter 3 (Q3) 2020. The percentage change in velocity was negative in Quarter 2 (Q2) 2020.

Part 2: Percentage change in velocity = -0.297

Part 3: C. People and banks were holding on to their money longer explain such a large change in velocity that occurred during the second quarter.

Part 2: During Q2, the percentage change in velocity can be calculated by using the following formula:

Velocity = (Nominal GDP / Real GDP) / (Money Supply / Nominal GDP)

Percentage change in velocity = (Velocity of 2020 - Velocity of 2019) / Velocity of 2019

Velocity of 2019 = (Nominal GDP of 2019 / Real GDP of 2019) / (Money Supply of 2019 / Nominal GDP of 2019) = Velocity of 2019 = (21,427.7 / 19,485.4) / (3,405.5 / 21,427.7)

Velocity of 2019 = 1.1290

Velocity of 2020 = (Nominal GDP of 2020 / Real GDP of 2020) / (Money Supply of 2020 / Nominal GDP of 2020)

Velocity of 2020 = (19,414.6 / 18,016.2) / (4,163.2 / 19,414.6)

Velocity of 2020 = 0.7940

Percentage change in velocity = (0.7940 - 1.1290) / 1.1290 = -0.297

Part 3: A substantial increase in the money supply can explain such a large change in velocity that occurred during Q2. When the money supply increased, people and banks had more money to spend and lend. However, the velocity decreased in Q2 despite a large increase in the money supply. This suggests that people and banks were holding on to their money longer and spending less during Q2. Therefore, option C is the correct answer.

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answer fast please!!

answer fast please!!

Answers

Answer:276

Step-by-step explanation:

SNOWMOBILES Bruce rents snowmobiles to tourists. He charges $135 for 4 hours and $202.50 for 6 hours. What is the hourly rate Bruce charges to rent a snowmobile

Answers

Answer:

The answer is 33.75 per hour

Step-by-step explanation:

Divide 135 by 4

8 less than the product of 2 and a number is 16. What is the number?

Answers

The answer is 24 when using like terms and the order of operations.

The number would be -4 which is 8 less than the product of 2 and a number is equal to 16.

What are Arithmetic operations?

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

Let the number would be n

Given that 8 is less than the product of 2 and a number is equal to 16.

According to the statement of the question,

⇒ 8 - (n*2) = 16

⇒  -(n*2) = 16 - 8

Apply the subtraction operation,

⇒  -2n = 8

⇒ n = -8/2

Apply the division operation,

⇒ n = -4

Hence, the number would be -4 which is 8 less than the product of 2 and a number is equal to 16.

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Kannanaski Rapids drops 62 ft vertically over a horizontal distance of 920 ft. What is the slope of the rapids? a. -0.067 b. -0.001 c. -62 0 d. -14.8

Answers

The slope of the rapids is -0.067

Kannanaski Rapids drops  62 ft vertically

The horizontal distance of 920 ft.

tan θ is a commonly used trigonometric function along with other 5 functions. tan θ is also called as law of tangent. The tangent formula for a right-angled triangle can be defined as the ratio of the opposite side of a triangle to the adjacent side. It can also be represented as a ratio of the sine of the angle to the cosine of the angle.

Slope of Rapids= tanθ= \(\frac{y}{x}=\frac{-62}{920} \\\)

=-0.067

Therefore, the slope of rapids is -0.067.

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Local Municipality Residential Water Tariff (Excluding VAT) Approved Indigents (free 6kl) 1-6 kl 7-15 kl 16-30 kl 31-45 kl 46-60 kl 61 and Above Mogale City Approved Tariffs July (2020/2021) RO R17 R22 R28 R32 R35 R39 Mogale City Approved Tariffs July (2021/2022) RO R18 R24 R29 R34 R37 R41 Other consumers: Government Schools, NGOs and Hospitals per kl (Excluding Private Schools & Private Hospitals) 1 - 200 kl Above 200 kl R25 R40 R26 R43 Source: www.mogalecity.gov.za *The registered Indigent will receive the allocated 6 kl free basic water per month on a daily pro- basis. Use the information in the table to answer the questions that follow. 3.1 Mrs Mabaspacked is a registered resident and she used 14 kt of water for the month of August 2022 calculate her water bill excluding VAT. municipality 2021 tariff for prepaid electricity appears​

Answers

The water tariff for Mogale City in August 2022 is R18 per kl, so her water bill excluding VAT will be R144.

How to calculate the value

Mrs Mabaspacked is a registered resident and she used 14 kt of water for the month of August 2022. The first 6 kl of water is free for registered residents, so she will only be charged for the remaining 8 kl. The water tariff for Mogale City in August 2022 is R18 per kl, so her water bill excluding VAT will be 8 kl x R18/kl = R144.

Water used: 14 kl

Free water: 6 kl

Water used after deduction of free water: 14 kl - 6 kl = 8 kl

Water tariff: R18 per kl

Water bill excluding VAT: 8 kl x R18/kl = R144

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(5 points) Find a vector a that has the same direction as (-10, 3, 10) but has length 5. Answer: a =

Answers

The vector a with the same direction as (-10, 3, 10) and a length of 5 is approximately (-7.65, 2.29, 7.65).

To find a vector with the same direction as (-10, 3, 10) but with a length of 5, we can scale the original vector by dividing each component by its magnitude and then multiplying it by the desired length.

The original vector (-10, 3, 10) has a magnitude of √((-10)^2 + 3^2 + 10^2) = √(100 + 9 + 100) = √209.

To obtain a vector with a length of 5, we divide each component of the original vector by its magnitude:

x-component: -10 / √209

y-component: 3 / √209

z-component: 10 / √209

Now, we need to scale these components to have a length of 5. We multiply each component by 5:

x-component: (-10 / √209) * 5

y-component: (3 / √209) * 5

z-component: (10 / √209) * 5

Evaluating these expressions gives us the vector a:

a ≈ (-7.65, 2.29, 7.65)

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guys please help this is a math question

guys please help this is a math question

Answers

Answer:

81.5

Step-by-step explanation:

<G and <H are congruent

<F and <I are congruent

so the last two angles in both triangles must also be congruent

this means that <K and <J are congruent

so we can create this equation: <K = <J

substitute the angles with what we know: 4\(y^{2}\) = 6\(y^{2}\) - 40

add 40 to both sides and subtract 4\(y^{2}\) from both sides: 40 = 2\(y^{2}\)

you get: 20 = \(y^{2}\)

root square on both sides: \(\sqrt{20}\) = \(\sqrt{y^{2} }\)

you get: y ≈ 4.5

substitute this into one of the equations for a missing variable:

6\(y^{2}\) -----> 6 (4.5 x 4.5) - 40

6 ( 20.25) - 40

121.5 - 40

81.5

Help me on this pls and thank you

Help me on this pls and thank you

Answers

Answer:

5x - 15 + 2x + 90 = 180

180 since it's a flat line, and all the angles should add up to 180 which is angle AOB, 90 degrees is already given in the middle.

Simplify all the terms (The algebra portion)

7x - 15 + 90 = 180

7x + 90 = 195

7x = 105

x = 105/7

x = 15

now substitute in x for all these angles

2(15) = 30 degrees is the angle GOB

5(15) - 15 = 60 degrees is the angle AOF

60 + 90 + 30 = 180 degrees.

and x = 15

Amir can deliver 748 newspapers in 6 hours. How many newspapers can Amir deliver in 8 hours? Round off to the nearest whole number.

Answers

997 newspapers I think

How long is the arc intersected by a central angle of startfraction pi over 2 endfraction radians in a circle with a radius of 4.5 cm? round your answer to the nearest tenth. use 3.14 for pi.

Answers

7.1 cm  long is the arc intersected by a central angle .

What is length of an arc?

The arc length of a circle can be calculated with the radius and central angle using the arc length formula. Length of an Arc = θ × r, where θ is in radian. Length of an Arc = θ × (π/180) × r, where θ is in degree.

Given,

Central angle = π / 2

radius = 4.5 cm

we apply formula of length of arc.

length of the arc = angle ×  radius

                              = (π/2) × (4.5 cm)

Now put value of π = 3.14

length of the arc = (3.14 / 2) × (4.5) cm

                            = 7.065 cm ≈ 7.1 cm

Therefore, 7.1 cm  long is the arc intersected by a central angle .

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You are considering purchasing a consol that promises annual payments of $4. a. If the current interest rate is 3 percent, what is the price of the consol? Instructions: Round your answer to the nearest penny (2 decimal places). The price of the consol is $ b. You are concerned that the interest rate may rise to 4 percent. Compute the percentage change in the price of the consol and the percentage change in the interest rate. Compare them. Instructions: Round your answer for dollar amounts to the nearest penny (2 decimal places ) and answers for percentages to the nearest tenth (1 decimal place) The new price of the consol would be $ The price of the consol falls by 7% and the interest rises by 7% c. Your investment horizon is one year. You purchase the consol when the interest rate is 5 percent and sell it a year later, following a rise in the interest rate to 6 percent. What is your holding period return? Instructions: Round your answer to the nearest tenth (1 decimal place) Your holding period return is %

Answers

a. The price of the consol is approximately $133.33.

b. The new price of the consol would be $100. The price of the consol falls by 24.99% and the interest rate rises by 1%.

c. Your holding period return is approximately -49.99%.

a. The price of the consol can be calculated using the formula for the present value of a perpetuity:

Price = Annual Payment / Interest Rate

In this case, the annual payment is $4 and the interest rate is 3%. Substituting these values into the formula:

Price = $4 / 0.03 ≈ $133.33

Therefore, the price of the consol is approximately $133.33.

b. To calculate the new price of the consol if the interest rate rises to 4%, we use the same formula:

New Price = Annual Payment / New Interest Rate

Substituting the values, we get:

New Price = $4 / 0.04 = $100

The percentage change in the price of the consol can be calculated using the formula:

Percentage Change = (New Price - Old Price) / Old Price * 100

Substituting the values, we have:

Percentage Change in Price = ($100 - $133.33) / $133.33 * 100 ≈ -24.99%

The percentage change in the interest rate is simply the difference between the old and new interest rates:

Percentage Change in Interest Rate = (4% - 3%) = 1%

Comparing the two percentages, we can see that the price of the consol falls by approximately 24.99%, while the interest rate rises by 1%.

c. The holding period return can be calculated using the formula:

Holding Period Return = (Ending Value - Initial Value) / Initial Value * 100

The initial value is the purchase price of the consol, which is $133.33, and the ending value is the price of the consol after one year with an interest rate of 6%. Using the formula for the present value of a perpetuity, we can calculate the ending value:

Ending Value = Annual Payment / Interest Rate = $4 / 0.06 = $66.67

Substituting the values into the holding period return formula:

Holding Period Return = ($66.67 - $133.33) / $133.33 * 100 ≈ -49.99%

Therefore, the holding period return is approximately -49.99%.

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Cocaine addiction is hard to break. Addicts need cocaine to feel any pleasure, so perhaps giving them an antidepressant drug will help. An experiment assigned 72 chronic cocaine users to take either an antidepressant drug called desipramine, lithium, or a placebo. One-third of the subjects, chosen at random, received each drug. Here are the results after three years. Desipramine 10 14 Lithium 18 Placebo 20 Relapse No Relapse 6 4 Assuming the sample is representative of all cocaine addicts and assuming that one addict is selected at random, use the table to find the following probabilities. (a) What is the probability a randomly selected cocaine addict receives lithium? (b) What is the probability a randomly selected cocaine addict relapses? (c) What is the probability a randomly selected cocaine addict relapses or receives lithium? (d) What is the probability a randomly selected cocaine addict relapses and receives lithium? (e) What is the probability a randomly selected cocaine addict who relapsed received desipramine? (1) What is the probability a randomly selected cocaine addict who received desipramine will relapse? (g) What is the probability a randomly selected cocaine addict who received lithium will relapse? (h) What is the probability a randomly selected cocaine addict who received a placebo will relapse? (i) Given a randomly selected cocaine addict does not relapse, what is the probability he/she received lithium?

Answers

(a) The probability a randomly selected cocaine addict receives lithium is 1/3 or approximately 0.33. (b) The probability a randomly selected cocaine addict relapses is 20/72 or approximately 0.28. (c) The probability a randomly selected cocaine addict relapses or receives lithium is (18 + 20)/72 or approximately 0.53.

(d) The probability a randomly selected cocaine addict relapses and receives lithium is 18/72 or approximately 0.25. (e) The probability a randomly selected cocaine addict who relapsed received desipramine is 10/20 or 0.5.

In the given experiment, 72 chronic cocaine users were randomly assigned to three groups: desipramine, lithium, or placebo. After three years, the results showed that 10 out of 20 patients who received desipramine relapsed, 18 out of 72 patients who received lithium relapsed, and 20 out of 72 patients who received a placebo relapsed.

To calculate the probabilities, we divide the number of relevant outcomes by the total number of outcomes. Therefore, the probability a randomly selected cocaine addict receives lithium is 1/3 since one-third of the subjects were assigned to take lithium. The probability a randomly selected cocaine addict relapses is 20/72 because 20 out of 72 patients experienced a relapse. The probability a randomly selected cocaine addict relapses or receives lithium is (18 + 20)/72 since there were 18 relapses in the lithium group and 20 relapses in the placebo group. The probability a randomly selected cocaine addict relapses and receives lithium is 18/72, considering only the patients who received lithium. Lastly, the probability a randomly selected cocaine addict who relapsed received desipramine is 10/20 because 10 out of 20 patients who relapsed were in the desipramine group.

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The price in dollars, y, of x pounds of almonds at
store A is given by the equation y = 9.25x.
Almonds at store B cost $8.50 per pound.
How much more do 4 pounds of almonds cost at
store A than at store B?

Answers

Answer:

Step-by-step explanation:

A:y=9.25(4)

B:y=8.5(4)

A:y=37

B:y=34

37-34=$3

Find the solution to the system of equations.

Find the solution to the system of equations.

Answers

Answer: (-5, -2)

Step-by-step explanation:

         We will substitute the first equation into the second and then solve for x. Then we will substitute x into the equation and solve for y.

Given:

    5x + 3y = -31

Substitue:

    5x + 3(x + 3) = -31

Distribute:

    5x + 3x + 9 = -31

Combine like terms:

    8x + 9 = -31

Subtract 9 from both sides of the equation:

    8x = -40

Divide both sides by 8:

    x = -5

Given:

    y = x + 3

Substitute x into the equation and solve for y.

    y = (-5) + 3

Combine like terms:

    y = -2

We can also graph it. The point of intersection is the solution, see below.

Find the solution to the system of equations.

how does the average number of drops required to break open a whelk depend on platform height? how does the average number of drops required to break open a whelk depend on platform height? the number of drops required decreases with increasing drop height, but only for heights greater than 5 meters. the number of drops required decreases with increasing drop height. the number of drops required does not change with drop height. the number of drops required increases with increasing drop height.

Answers

The correct option is B, the average number of drops required to break open a whelk depend on platform height is the number of drops required decreases with increasing drop height.

The term "average" is commonly used in mathematics, statistics, and other fields to describe a central value of a set of data. In general, there are three types of averages: the mean, the median, and the mode.

The mean is the sum of all the values in a set divided by the number of values. It is commonly used to describe the average score of a group of students, the average temperature of a region, or the average income of a population. The median is the middle value in a set of data when it is arranged in order. It is commonly used to describe the typical salary of a company, the median age of a population, or the median price of a house.

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Complete Question:-

How does the average number of drops required to break open a whelk depend on platform height?

a. the number of drops required decreases with increasing drop height, but only for heights greater than 5 meters.

b. the number of drops required decreases with increasing drop height.

c. the number of drops required does not change with drop height.

d. the number of drops required increases with increasing drop height.

Other Questions
What mass of solute should you measure out in order to make 1,000 mL of a 0.3 M solution of magnesium phosphate Mg3(PO4)2? Describe the government in Ancient India. The graph of a quadratic function is shown. What arethe zeros of the function?Move the dots to shade the TWO correct circles thatrepresent the points. Answer the following finance questions:1. If you lend $1,000 to a friend for 5 years at an interest rate of 2%, how much will she owe you in 5 years? Round to the nearest cent.2. If you borrow $10,000 for 10 years at an interest rate of 5%, what are the annual payments you'd have to make to pay it off? Round to the nearest cent.3. You are about to buy a Tesla Model 3 for $38,990. If you pay 5% down and finance the rest at a 5.0% rate for 3 years, what will be your monthly payments? Round to the nearest cent4. Consider a zero-coupon bond with a $100 face value which matures in 2 years. What is the value of this bond if its yield to maturity is 4.0%? Round to the nearest penny.5. A zero-coupon bond with a 2-year maturity and face value of $1,000 is trading at $975. What is this bond's yield to maturity? Round to the nearest tenth of a percent (e.g. 4.32% = 4.3).6. On August 18, 2017, Tesla issued 8-year 5.3% bonds with face value of $1.8 billion and paying semi-annual coupons. How much does Tesla pay to its bondholders every six months? Answer in millions, rounded to two decimal places (e.g., $4.5 million = 4.50)Expert Answer1st stepAll stepsFinal answerStep 1/61) Amount lent now (A) = $1,000Term (t) = 5 yearsInterest rate (r) = 2%Future value = A * (1+r)t= $1,000 * (1+2%)5= $1,000 * (1.02)5= $1,000 * (1.1040808)= $1,104.0808Amount she owes = $1,104.08 (rounded to two decimals) Let S be a subset of the set of integers defined recursively as follows: Base case: 5 ES Recursive case: If a ES, then 3a E S. we are using Structural Induct Induction to show for all a ES that a = 5k for some k E N. Don't include zero in the natural number set Evaluate if the following steps are correct or not. Type in "Correct" OR "incorrect" (Don't include quotation mark) 1) Baso case: 5 belongs to the set S and 5 is a multiple of 5 because 5 X* *5 (whero k** and 1 is a natural number). (CorrectIncorrect?): 1) Inductive step: assume if ta' belongs to 'S then ask where k is a natural number (CorrectIncorrect?): Proof: 5 is a positive multiple of 5 because 5k * 5 where k=1 and 1 is a natural number (CorrectIncorrect?) what can Tiffany conclude from the data above? Which substance is most similar to a lipid in how it interacts with water?sugar cubeOsalt lickO tea leavesO melted candle wax Apple Healthcare has acquired new medical analysis equipment for a cost of $15 million. The equipment is expected to have a life of 10 years and a salvage value at the end of this period of $3 million. If the firm has a cost of capital of 12% and a marginal tax rate of 40%, what is the present value of the tax benefits from the equipment depreciation (assuming straight-line depreciation), in $ millions?a - $2.54b - $2.71c - $3.39d - $3.72e - $2.79 A dosage of 172 mg was decreased by 812%. Calculate the new dosage What is the surface area of the solid that this net can form? How many gallons of water will fill a fish tank that is 11 in. long, 6 in. wide, and 7 in. high? Round to the nearest tenth. Write a 1000 word limit essay for the following : Wouldfrog's approach to product development be effective in a firm thatprimarily manufactured, marketed, and distributed its ownproducts? Billingham Packaging is considering expanding its production capacity by purchasing a new machine, the XC-750. The cost of the XC-750 is $2.77 million. Unfortunately, installing this machine will take several months and will partially disrupt production. The firm has just completed a $48,000 feasibility study to analyze the decision to buy the XC-750, resulting in the following estimates:Marketing: Once the XC-750 is operational next year, the extra capacity is expected to generate $10.20 million per year in additional sales, which will continue for the 10-year life of the machine.Operations: The disruption caused by the installation will decrease sales by $4.98 million this year. As with Billingham's existing products, the cost of goods for the products produced by the XC-750 is expected to be 68% of their sale price. Theincreased production will also require increased inventory on hand of $1.09 million during the life of the project, including year 0.Human Resources: The expansion will require additional sales and administrative personnel at a cost of $2.01 million per year.Accounting: The XC-750 will be depreciated via thestraight-line method over the 10-year life of the machine. The firm expects receivables from the new sales to be 15% of revenues and payables to be 9% of the cost of goods sold. Billingham's marginal corporate tax rate is .a. Determine the incremental earnings from the purchase of theXC-750.b. Determine the free cash flow from the purchase of theXC-750.c. If the appropriate cost of capital for the expansion is 9.6%, compute the NPV of the purchase.d. While the expected new sales will be $10.20 million per year from the expansion, estimates range from $8.25 million to$12.15million. What is the NPV in the worst case? In the best case?e. What is the break-even level of new sales from the expansion? What is the breakeven level for the cost of goods sold?f. Billingham could instead purchase the XC-900, which offers even greater capacity. The cost of the XC-900 is $4.07 million. The extra capacity would not be useful in the first two years ofoperation, but would allow for additional sales in years 3 through 10. What level of additional sales (above the $10.20 million expected for the XC-750) per year in those years would justify purchasing the larger machine? What did the Chi Wara, ancestral man-antelope figure, teach the Bamana people of Mali, Northwest Africa to do? Myriam received a drug that will numb the entire lower area of her body during labor. Myriam was given a(n): What differentiates a terminal value from a(n) ______ value is the difference between means and ends. 3. A cube is made for 1 million cubic centimeters e What is the length of the side of the cube in centimeters? (01.01 LC)Which of the following describes a situation in which the total distance a baseball player travels is zero meters fromhis starting point?The player runs 5 meters forward, and then runs 5 meters in the opposite direction.The player runs 5 meters forward, and then runs 6 meters in the opposite direction.The player runs 6 meters forward, and then runs 5 meters in the opposite direction.The player runs 6 meters forward, and then runs 0 meters in the opposite direction. During a nature walk Jill identified 20 species of animals and plants she said that 1/3 of the species she identified were animals can this be correct? The St. Croix junior hockeyteam won 3 out of every 4games it played.The team played 56 games.How many games did it lose?