There are 8 hamburger buns in a package. which number of hamburger buns would fill a whole number of packages: 18, 32, 44, 56?

A 11.544 acre-feet of this ice field will melt from the beginning of day 1 (t = 0) to the beginning of day 4 (t = 3). So, correct option is C.

To solve the problem, we need to integrate the given rate of melting with respect to time over the interval [0,3] to find the total amount of ice that melts during this time.

First, we can simplify the given rate of melting by using the identity: sin³(t) = (3sin(t) - sin(3t))/4

So, M(t) = 4 - (3sin(t) - sin(3t))/4 = 16/4 - 3sin(t)/4 + sin(3t)/4 = 4 - 0.75sin(t) + 0.25sin(3t)

Integrating this expression with respect to t over the interval [0,3], we get:

\(\int\limits^3_0\) M(t) dt = \(\int\limits^3_0\) (4 - 0.75sin(t) + 0.25sin(3t)) dt

= [4t + 0.75cos(t) - (1/3)cos(3t)]|[0,3]

= (12 + 0.75cos(3) - (1/3)cos(9)) - (0 + 0.75cos(0) - (1/3)cos(0))

= 11.544

Therefore, the answer is (C) 11.544.

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Answer:

Step-by-step explanation:

take 45 degree as reference angle

using cos rule

cos 45=adjacent/hypotenuse

1/\(\sqrt{2}\)=x/4(do cross multiplication)

x\(\sqrt{2\)=4

x=4/\(\sqrt{2}\)

x=2\(\sqrt{2}\)

Answer:

the lcd of 7/8 and 3/4 is 8

Step-by-step explanation:

Answer:

UV=25 units

Step-by-step explanation:

we know that

UW=UV+VW -----> by addition segment postulate

substitute the given values

4x+10=5x+5

solve for x

5x-4x=10-5

x=5

Find the value of UV

UV=5x

substitute the value of x

UV=5(5)=25 units

Answer:

x= 26

Step-by-step explanation:

65/5= 13, therefore you multiply 2 by 13 to get 26.

Given:

Constant of proportionality = 2

To find:

The equation represents a proportional relationship that has a constant of proportionality equal to 2.

Solution:

If y is proportional to x, then the proportional relationship is

\(y\propto x\)

The equation of this proportional relationship is

\(y=kx\)

where, k is the constant of proportionality.

It is given that, constant of proportionality is equal to 2. So, put k=2 in the above equation.

\(y=2x\)

The equation equation is \(y=2x\). Therefore, the correct option is C.

Answer:

the answer is c

Step-by-step explanation:

Answer:

below

Step-by-step explanation:

We need to eliminate oneof the variables....I'll choose 'y'

x+ y = 60      <======multiply this equation - 22 to get

-22x -22y = -1320

44x  =22y = 2024        Now add the two equations together to eliminaty 'y'

22x = 704     then x = 32     x+y = 60   so y = 28

Here, given the equation in the question, we want to make y the subject of the formula;

Answer: If Nico makes twice as much then I believe Nico made 32 dollars and Saul makes 12.

Step-by-step explanation: Forgive me if I'm wrong

Answer:

x < 9

Step-by-step explanation:

Subtract 2 from both sides so you can isolate the variable on the left.

The characteristics of the southeastern American cultural group are:

There were said to be able 24  Native American groups that were known to have been living in the southeast region.

They are known to be  widely defined as they tends to spread from North Carolina to the region of the Gulf of Mexico. These nations are made up of:

Therefore, The characteristics of the southeastern American cultural group are:

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Answer: 180cm^2

Step-by-step explanation:

The equation is  a^2 + b^2 = c^2

a^2 = area of square 3 = 80cm^2

b^2 = area of square 2 = 100cm^2

c^2 = a^2 + b^2 = 80 + 100 = 180cm^2

So answer is 180cm^2

7.36 for each cap

$36.80 is the cost for 5 caps. if we divide the cost of the pack to the individual number of idems (caps), the equation (36.80÷5) will come out to $7.36, meaning $7.36 is the cost for each individual cap.

The researcher would likely use an independent samples t-test.

The researcher would likely use an independent samples t-test to test the hypothesis that men and women differ in the amount of time they spend exercising weekly.

This is because an independent t-test is appropriate when comparing the means of two independent groups, in this case, men and women.

However, before conducting the t-test, the researcher should check if the data meets the assumptions of normality and equal variance. If these assumptions are not met, alternative tests such as the Wilcoxon rank-sum test may be more appropriate.

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The space would cost at, $833.34 per month.

:: Total area = 1000 square feet

:: Cost per feet per year = $10

Therefore,

Total cost per year would be, equal to the product of total area and cost per unit area per year.

That is,

Total cost per year = 1000 x $10

That is, $10,000.

Now, we know, there are 12 months in an year.

So, cost per month is, ( total cost per year / 12 )

That is, therefore,

Cost per month = ($10,000 / 12)

Which equals to, $833.34 per month. (rounded off)

So,

The space cost at, $833.34 per month.

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The space cost you $833.33. per MONTH

To calculate the monthly cost, we first need to determine the annual cost of the space.

Given that the cost is $10 per square foot per year, we know, there are 12 months in an year and the space is 1,000 square feet, the annual cost of the space would be:

Annual cost = the space  * cost

Annual cost = 1,000 square feet * $10/square foot = $10,000

To convert this to monthly cost, we divide the annual cost by 12 (the number of months in a year):

Monthly cost = $10,000 / 12 = $833.33

Therefore, the monthly cost of the 1,000 square feet of space in the new building would be $833.33.

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A) Let C(x) the cost of manufacturing x refrigerators, since C is linearly related to x, then we can set the following equation:

To determine the values of m and b we will use the fact that:

Therefore we can set the following system of equations:

Subtracting the second equation from the first one we get:

Dividing the above equation by 75 we get:

Substituting m=75 in 43m+b=5075, and solving for b we get:

Therefore:

B) Evaluating C(x) at x=123 we get:

C) From the equation we get that the fixed cost is $1850.

D) The cost to produce each additional refrigerator is $75.

Answer:

(a)

(b) $11075.

(c) $1850.

(d) $75.

Answer:

(-2 , 5) (2 , 3)

m = y2 - y1 / x2 - x1

= 3 - 5 / 2 + 2

- 2 / 4 = - 1/2

- 1/2 = y - 3 / x - 2

cross multiply and u get

y = -0.5x + 4

By using probability, it can be calculated that-

the optimal number of cookies to make is 2400 dozens

What is probability?

Probability gives us the information about how likely an event is going to occur

Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.

Probability of any event is greater than or equal to zero and less than or equal to 1.

Probability of sure event is 1 and probability of unsure event is 0.

Here

Each dozen of cookies is sold for $1.99 and cost $0.99

Shortage = $(1.99 - 0.99) = $1

Cookies that are not sold at the end of the day are reduced to $0.49

Overage = $(0.99 - 0.49) = $0.5

Service = \(\frac{1}{1 + 0.5}\\\)

              \(=\frac{1}{1.5}\\\\=\frac{2}{3}\\\\=0.67\)

Now the table is

Demand               Probability of demand             Cumulative probability  

(Dozen)

1800                          0.05                                             0.05

2000                         0.15                                              0.2

2200                         0.2                                               0.4

2400                         0.3                                                0.7

2600                         0.2                                               0.9

2800                         0.1                                                 1

Here the closest to service is 0.7

So the optimal number of cookies to make is 2400 dozens

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Complete Question

Famous Albert prides himself on being the Cookie King of the West. Small, freshly baked cookies are specialty of his shop. Each dozen sells for $1.99 and costs $0.99, which includes handling and transportation. Cookies that are not sold at the end of the day are reduced to $0.49 and sold the following day as day-old merchandise. Famous Albert has asked for help to determine the number of cookies he should make each day. From an analysis of past demand he estimates demand for cookies as

Demand                Probability of demand            Cumulative probability    

(Dozen)

1800                          0.05                                          

2000                         0.15                                            

2200                         0.2                                              

2400                         0.3                                              

2600                         0.2                                            

2800                         0.1                                                

Using the information in q8, what is the optimal number of cookies to make? 2,600 dozen 2,400 dozen 2,200 dozen 2,000 dozen 2,800 dozen

2,600 dozen 2,400 dozen 2,200 dozen 2,000 dozen 2,800 dozen

if the number of times you take the test were independent variable of the chance you fail what could that mean the difficulty of the test is consistent and unchanging.

The difficulty of the test is consistent and unchanging, making it so that the chance of failing is solely determined by the individual's performance on the test. Factors such as knowledge of the subject and the ability to focus can play a role in a person's success, but the actual chance of failing is not affected by how many times the test is taken. This means that those who fail the test will have to work harder and prepare better in order to pass it on the next attempt. Taking the test multiple times does not guarantee a higher chance of success, as the difficulty remains the same each time due to independent variable.

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Answer:

Step-by-step explanation:

x = 52°

Answer:

Step-by-step explanation:

The chosen topic is not meant for use with this type of problem. Try the examples below.

5

3

y

+

5

2

=

5

x

3

=

2

x

−

1

=

2

y

Answer: x=-1

Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    3*x+3-(8*(5*x+5))=0

 Pull out like factors :

  5x + 5  =   5 • (x + 1) 3x + 3) -  40 • (x + 1)  = 0

-37   =  0 but nozero's can't be converted so

 Solve  :    x+1 = 0  

Subtract  1  from both sides of the equation :  

                     x = -1

Answer:

BD = 3.2.

CD = 2.4.

Step-by-step explanation:

By Pythagoras:

AB^2 = 3^2 + 4^2 = 25

AB = 5.

Triangles ADC and ACB are similar, so

AC / AB = AD / AC

3 / 5 = AD / 3

AD = 3*3/5

AD =  9/5 = 1.8

So BD = 5 - 1.8

= 3.2.

CD^2 = AC^2 - AD^2 (Pythagoras)

CD^2 = 3^2 - 1.8^2 = 5.76

CD = 2.4.

Rounding to four decimal places, the standard divisor is 3.4792.

The standard divisor can be calculated as follows:

Standard Divisor = Total number of schools / Total number of upgrades

Total number of schools = 104 + 33 + 26 + 4 = 167

Total number of upgrades = 48

Standard Divisor = 167 / 48 = 3.4792

Rounding to four decimal places, the standard divisor is 3.4792.

The standard divisor is a term used in resource allocation or distribution problems, where a set number of resources (e.g., funding, personnel, supplies, etc.) has to be divided among a number of recipient entities (e.g., schools, departments, regions, etc.).

The standard divisor is a number that represents the average allocation of resources per recipient entity, calculated as the total amount of resources divided by the number of recipient entities.

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The number of ways that A and B can have subsets is the product of the number of subsets of A and the number of subsets of B, or (2^n) * (2^m) = 2^(n+m).

A set is a collection of distinct objects, and a subset is a set that contains only elements that are also in another set. If set A is a subset of set B, then all elements of A are also elements of B.

The number of subsets of a set with n elements is 2^n. So, if set A has n elements and set B has m elements (where m > n), the number of subsets of A is 2^n and the number of subsets of B is 2^m. The number of ways that A and B can have subsets is the product of the number of subsets of A and the number of subsets of B, or (2^n) * (2^m) = 2^(n+m).

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Zhen's yearly simple interest rate on the loan is 7.5%. She borrowed $1,200 and owes $180 in simple interest over 2 years.

We can use the formula for simple interest to find the yearly interest rate:

Simple Interest = Principal × Rate × Time

where Principal is the amount borrowed, Rate is the interest rate, and Time is the time period for which the interest is calculated.

In this problem, Zhen borrowed $1,200 and owes $180 in simple interest for a period of 2 years. We can plug in these values and solve for the interest rate:

$180 = $1,200 × Rate × 2

Dividing both sides by $2, we get:

$90 = $1,200 × Rate

Dividing both sides by $1,200, we get:

Rate = $90 / $1,200

Rate = 0.075

Therefore, the yearly simple interest rate on Zhen's loan is 0.075 or 7.5%.

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Answer:

sept 30

Step-by-step explanation:

Answer:

2 * 5⁴

Step-by-step explanation:

Given :

Number of cubes = 10

Side length, a of each cube = 5

The volume of a cube = (side length)³

Hence, the volume of each of Han's cube = 5³

Therefore, the total volume will be :

Volume or cube * number of cubes

5³ * 10

10 = 2 * 5 = 2 * 5¹

5³ * 2 * 5¹

2 * 5^(3 +1)

2 * 5⁴

Nick's z -score is -1.833.

According to the given question.

Total points scored by Nick, x = 24

Mean score for the test was, μ = 35

Standard deviation, σ = 6

As, we know that z-score can be caluated by using the formula

z = (x - μ)/σ

Where, x is a score

μ is mean score

σ is standard deviation

z is z-score

Therefore, Nick's z-score is given by

z = (24 - 35)/6

z = -1.833

ence, Nick's z -score is -1.833.

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