Henry bought 4 pies, which he plans to share with a group of his friends. If there is exactly enough to give each
member of the group one-sixth of the pie, how many people are in the group?

Answer:

D an upside down smiley means the slope is negative. which means either b or d. then sub x = 0, if y is -4 from the graph you get the answer

Complete Question

The daily output at a plant manufacturing chairs is  approximated by the function

[tex]f(L,K) = 45\sqrt[3]{K}L^3^/^5[/tex] chairs

where L is the size of the labor force measured in hundreds

of worker-hours and K is the daily capital investment in  thousands of dollars. If the plant manager has a daily budget  of $13,000 and the average wage of an employee is $9.00  per hour, what combination of worker-hours (to the nearest  hundred) and capital expenditures (to the nearest thousand)  will yield maximum daily production?

a)200 worker-hours and $9000 in capital expenditure

b)1100 worker-hours and $3000 in capital expenditure

c)500 worker-hours and $8000 in capital expenditure

d)900 worker-hours and $5000 in capital expenditure

e)600 worker-hours and $6000 in capital expenditure

f)300 worker-hours and $10,000 in capital expenditure

Answer:

d)900 worker-hours and $5000 in capital expenditure

Step-by-step explanation:

From the question we are told that

Daily output at a plant manufacturing chairs is  approximated by the function  [tex]f(L,K) = 45\sqrt[3]{K}L^3^/^5[/tex]

Daily budget  of $13,000

Average wage of an employee is $9.00  per hour

a) Generally the function  [tex]f(L,K) = 45\sqrt[3]{K}L^3^/^5[/tex]  can be use to for (a)

Mathematically solving with L=200 K=9000

[tex]f(L=200,K=9000) = (45\sqrt[3]{9000})200^3^/^5[/tex]

[tex]f(L=200,K=9000) = 45*20.8*24[/tex]

[tex]f(L=200,K=9000) = 22464[/tex]

b)Generally the function  [tex]f(L,K) = 45\sqrt[3]{K}L^3^/^5[/tex]  can be use to for (b)

Mathematically solving with L=1100 K=3000

[tex]f(L=1100,K=3000) = (45\sqrt[3]{3000})1100^3^/^5[/tex]

[tex]f(L=1100,K=3000) = 45*14.4*66.8[/tex]

[tex]f(L=1100,K=3000) = 43286.4[/tex]

c)Generally the function  [tex]f(L,K) = 45\sqrt[3]{K}L^3^/^5[/tex]  can be use to find (c)

Mathematically solving with L=500 K=8000

[tex]f(L=500,K=8000) = (45*\sqrt[3]{8000})*500^3^/^5[/tex]

[tex]f(L=500,K=8000) = 45*20*41.63[/tex]

[tex]f(L=500,K=8000) =37467[/tex]

d)Generally the function  [tex]f(L,K) = 45\sqrt[3]{K}L^3^/^5[/tex]  can be use to find (d)

Mathematically solving with L=900 K=5000

[tex]f(L=900,K=5000) = (45*\sqrt[3]{5000})*900^3^/^5[/tex]

[tex]f(L=900,K=5000) = 45*17.09*59.2[/tex]

[tex]f(L=900,K=5000) =45577.88[/tex]

e)Generally the function  [tex]f(L,K) = 45\sqrt[3]{K}L^3^/^5[/tex]  can be use to find (e)

Mathematically solving with L=600 K=6000

[tex]f(L=600,K=6000) = (45\sqrt[3]{6000})600^3^/^5[/tex]

[tex]f(L=600,K=6000) = 45*18.17*46.4[/tex]

[tex]f(L=600,K=6000) =37974[/tex]

f)Generally the function  [tex]f(L,K) = 45\sqrt[3]{K}L^3^/^5[/tex]  can be use to find (e)

Mathematically solving with L=600 K=6000

[tex]f(L=300,K=10,000) = (45*\sqrt[3]{10,000})*300^3^/^5[/tex]

[tex]f(L=300,K=10,000) = 45*21.5*30.6[/tex]

[tex]f(L=300,K=10,000) = 29704.2[/tex]

Therefore the function f shows maximum at L=900 K=5000

Giving the correct answer to be

d)900 worker-hours and $5000 in capital expenditure

Answer:

1,281

Step-by-step explanation:

9514 1404 393

Answer:

  (5, 3 2/3)

Step-by-step explanation:

The centroid coordinates are the average of the vertex coordinates.

  (A+B+C)/3 = ((2, 3) +(8, 1) +(5, 7))/3 = (2+8+5, 3+1+7)/3 = (15, 11)/3

The centroid is (5, 3 2/3).

_____

The graph shows the intersection of the medians. It is the centroid, (5, 3 2/3), as we calculated.

I think its 1

Step-by-step explanation:

if it ain't my bad

Using sampling concepts, it is found that this is an example of cluster sampling.

Samples may be classified as:

In this problem, each religious meeting is a group, and all participants are surveyed, hence, we have an example of cluster sampling.

A similar problem is given at https://brainly.com/question/25122507

Answer:

Range = 1 ≤ y ≤ 5

Step-by-step explanation:

The range of the graph is all possible y-values that is plotted in the graph.

The range includes y-values include y = 1, and y-values that fall between y = 1 and y = 5, 5 inclusive.

Range = 1 ≤ y ≤ 5

Answer:

-34

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

B.   [tex] 60x^8 [/tex]

Step-by-step explanation:

[tex] 4x^2\sqrt{5x^4} \cdot 3\sqrt{5x^8} = [/tex]

[tex] = 4x^2 \times 3 \sqrt{5x^4 \times 5x^8} [/tex]

[tex] = 12x^2 \sqrt{25x^{4+8}} [/tex]

[tex] = 12x^2 \sqrt{25} \sqrt{x^{12}} [/tex]

[tex] = 12x^2 \times 5 \times x^6 [/tex]

[tex] = 60x^8 [/tex]

Answer:

Interest earned = $3546.50

Option B is correct option.

Step-by-step explanation:

Time t = 20 years

Principal Amount P =$3815.24

Interest r = 3.3% or 0.033

Compounded quarterly n = 4

We need to find How much interest has Lucas earned?

First we need to find the future value in the account after 20 years

The formula used to find future value A is: [tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Putting values of t, r , n and P to find A i.e future value

[tex]A=P(1+\frac{r}{n})^{nt}\\A=3815.24(1+\frac{0.033}{4})^{20*4} \\Simplifying:\\A=3815.24(1+0.00825)^{20*4} \\A=3815.24(1.00825)^{80}\\A=3815.24(1.929)\\A= 7361.74[/tex]

Now finding interest amount by subtracting the initial deposit from the future value

Interest earned = Future Value (A)- Initial Deposit (P)

Interest earned = 7,361.74 - 3815.24

Interest earned = 3546.50

So, Lucas have earned interest = $3546.50

Option B is correct option.

Answer:

32%

The probability according to these results is 32% because 25 people ordered a cold drink. 8 of those were smalls. 8 divided by 25 is 0.32 which is the percentage of a 100% chance aka 32%

Answer:

The distance between (-9, 8) and (-3, -1) will be:

[tex]\:d=3\sqrt{13}[/tex] units

Step-by-step explanation:

Given the points

Finding the distance between (-9, 8) and (-3, -1)

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

   [tex]=\sqrt{\left(-3-\left(-9\right)\right)^2+\left(-1-8\right)^2}[/tex]

   [tex]=\sqrt{\left(-3+9\right)^2+\left(-1-8\right)^2}[/tex]

   [tex]=\sqrt{36+81}[/tex]

   [tex]=\sqrt{117}[/tex]

   [tex]=3\sqrt{13}[/tex] units

Therefore, the distance between (-9, 8) and (-3, -1) will be:

[tex]\:d=3\sqrt{13}[/tex] units

Answer:

The answer is "[tex]d \neq 3c,[/tex]f and g are arbitrary".

Step-by-step explanation:

The matrix of the device is increased  

[tex]\left[\begin{array}{ccc}1&3&f\\ c&d&g\\ \end{array}\right][/tex]

Reduce the echelon row matrix  

[tex]\left[\begin{array}{ccc}1&3&f\\ c&d&g\\ \end{array}\right] \\\\R_1 \leftrightarrow R_2 \\\\\frac{R_2 -1}{C R_1 \to R_2} \sim \left[\begin{array}{ccc} c&d&g\\ 0 & \frac{3c-d}{c}& \frac{cf-g}{c}\\ \end{array}\right][/tex]

Therefore, if 3c[tex]\neq[/tex] 0 is d [tex]\neq[/tex]  3c, the device is valid.  Therefore d [tex]\neq[/tex] are arbitrary 3c, g and f.

The values of the coefficients c and d are 1 and 3, respectively

The system of equations are given as:

[tex]x_1 + 3x_2 = f[/tex]

[tex]cx_1 + dx_2 = g[/tex]

From the question, we understand that the system of equations is consistent.

Assume that the system of equations is also dependent, then it means that:

[tex]c =1[/tex]

[tex]d =3[/tex]

[tex]g =f[/tex]

Hence, the values of the coefficients c and d are 1 and 3, respectively

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Answer:

Step-by-step explanation:

the range is the out put of the function.. what can y be.. in other words

so it's all real numbers...  :)

Answer:

1600

Step-by-step explanation:

it is already rounded

F. 2x⁵y² - 6x⁴y³

That is the answer.

By means of distribution.

Answer:

You need to multiply the exponents, then you can multiply the two factors.

Correct answer of the equation:

2^4 x 2^5, multiply exponents

16 x 32, multiply

= 512

Answer:

C. 4r³

Step-by-step explanation

A trinomial is an expression having three terms. A polynomial with degree 3 that which its leading variable has a power of 3. For example an example of such polynomial in one variable is expressed as 2x³+4x²-7. This equation has 3 terms and the leading variable has a power of 3 with only x as the variable

From the given options based on the explanation, the correct answer will be 4r³. This can also be written as a trinomial as 4r³+0r²+0r

The rest contains more than one variable.

There is no trinomial.

A trinomial is a polynomial with three nonzero terms

Here we have to find trinomial in one variable of degree 3 .

Since in given four options a , b , d have equations in two variables and c have only one term so there is no trinomial.

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Answer:13%

Step-by-step explanation:

Lets call the Teacher Mrs.Lukens and we put the number into a calculator and subtract 35-13% you have it but as it was a guess you will never know.

Answer:

(5, -11)

Step-by-step explanation:

We know that (8, -5) is 6 units above and 3 units to the right of point P. Knowing this, let's work backwards by starting from (8,-5) and counting 6 units down and 3 units to the left on the graph.

If you counted correctly, this should place you at the (5, -11). (You can also check your work by counting 6 units up and 3 units to the right from (5, -11) and seeing if you end up at (8, -5).)

After going through the statement in the question, the number of each colored ornament Nick have is 3.

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both.

Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

There are three colors.

We can infer that there are 3 ornaments of each color because there are 6 ornaments for each of the other two colors.

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Answer:

negative 6, negative 4, negative 2, negative one half

Answer:

C

Step-by-step explanation:

1.

2 ^ 4 = 16

16 × 6 = 96

96 + 7 = 103

2.

3 + 4 = 7

8 × 7 = 56

12 ^ 2 = 144

56 + 144 = 200

3.

14 - 6 = 8

8 ^ 2 = 64

64 × 6 = 384

4.

150 ÷ 5 = 30

30 × 6 = 180

180 + 8 = 188

hope this helps :))

Answer:

15/8

5/8 ÷ 1/3

[Reciprocate the second fraction] =>

5/8 × 3/1

=>15/8

Answer:

1.875

as a fraction 15/8

Or

1 and 7/8

Siri told me.

Step-by-step explanation:

the ladle should scoop out 56 scoops to empty the bucket because if one scoop equals 1/14, there are 14 scoops per liter, and 4 liters, so 4 times 14 equals 56

The ladle should scoop out 56 scoops to empty the bucket

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity

Given,

A bucket holds 4 liters of water.

If a ladle can scoop out 14 of a liter We need to find how many scoops will it take to empty the bucket

We know that one scoop equals 1/14 liters

1 scoop=1/14 litres

1 litre=14 scoops

As there are 4 litres

We have to multiply 14 with four to find the number of scoops to take to make the bucket empty.

14×4

56

Hence, the ladle should scoop out 56 scoops to empty the bucket

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Answer:

[tex]\boxed{\begin{tabular}{|c|c|c|c|c|c|}\cline{1-6} \bf x & -1 & 0&1&2&3\\\cline{1-6} \bf y & 10& 6& 2&(-2)&-6 \\\cline{1-6}\end{tabular}}[/tex]

Step-by-step explanation:

Given equation to us is :-

[tex]\implies y = 6 - 4x [/tex]

So , here we can put different values of x in order to get different values of y .

Initial table given to us is ,

[tex]\begin{tabular}{|c|c|c|c|c|c|}\cline{1-6} \bf x & -1 & 0&1&2&3\\\cline{1-6} \bf y & & & 2&&-6 \\\cline{1-6}\end{tabular}[/tex]

Put x = (-1) :-

[tex]\implies y = 6 - 4x \\\\\implies y = 6 -4(-1) \\\\\implies y = 6 + 4 \\\\\red{\bf\implies y = 10} [/tex]

Put x = 0 :-

[tex]\implies y = 6 - 4x \\\\\implies y = 6-4(0) \\\\\implies y = 6 - 0 \\\\\pink{\bf\implies y = 6 }[/tex]

Put x = 2 :-

[tex]\implies y = 6-4x \\\\\implies y = 6 - 4(2) \\\\\implies y = 6 - 8 \\\\\blue{\bf\implies y = (-2)} [/tex]

Hence the final table would be :-

[tex]\begin{tabular}{|c|c|c|c|c|c|}\cline{1-6} \bf x & -1 & 0&1&2&3\\\cline{1-6} \bf y & 10& 6& 2&(-2)&-6 \\\cline{1-6}\end{tabular}[/tex]

Answer:

10/12

Step-by-step explanation:

10/12 is not a multiple or a factor of 3/5