find the are and perimeter

The joint costs allocated to Product B is $240,000.

We must allocate joint costs based on the relative physical quantities produced by each product.

The total physical quantity produced by both products is:

= Quantity of A + Quantity of B

= 10,000 + 40,000

= 50,000 pounds

We will calculate the proportion of physical quantity produced by product A:

= Quantity of B / Total physical quantity

= 40,000 / 50,000

= 0.8

The amount of joint costs allocated to Product B is will be

= Total joint costs x Proportion of

= $300,000 x 0.8

= $240,000.

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\(\quad \huge \quad \quad \boxed{ \tt \:Answer }\)

\(\qquad \tt \rightarrow \:x = 3\sqrt3 \)

____________________________________

\( \large \tt Solution \: : \)

\(\qquad \tt \rightarrow \: \tan(60) = \cfrac{x}{3} \)

\(\qquad \tt \rightarrow \: \sqrt{3} = \dfrac{x}{3} \)

\(\qquad \tt \rightarrow \: x = 3 \sqrt{3} \)

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Based on the table, to the nearest whole number, 7000 people in the total population of 60,000 have green eyes.

We know that;

An algebraic expression is a combination of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division.

Here, We have;

The total number of respondents in the survey is:

= 32 + 14 + 25 + 49

= 120

And, The proportion of respondents with green eyes is:

= 14/120

= 0.1167

Hence, To estimate the number of people in the total population of 60,000 who have green eyes, we can multiply the proportion by the total population:

0.1167 x 60,000 = 7,002

After Rounding this to the nearest whole number gives us:

7,002 ≈ 7,000

Therefore, The answer is, 7,000 people.

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A survey is conducted to investigate the self-identified eye colors of a representative portion of a population. The table shows the results.

Self-Identified Eye Color

Number of Respondents

blue

32

green

14

hazel

brown

25

49

Based on the table, to the nearest whole number, how many people in the total population of 60,000 have green eyes?

O 140 people

O 700 people

O 1,400 people

O 7,000 people

Answer:

Y less than or equal to zero

Step-by-step explanation:

The graph shows that its moving downwards, therefore the Y value is decreasing..

Answer:

$9.90

Step-by-step explanation:

Answer:

So the diameter of the pipe with the insulation around it is approximately 18.84 inches / 2 = 9.42 inches.

Step-by-step explanation:

To find the diameter of the pipe with the insulation around it, we can use the formula for the circumference of a circle:

C = 2 * π * r

Where:

· C = circumference of the pipe

· π = the mathematical constant approximately equal to 3.14

· r = the radius of the pipe

Using the given information, we know that the pipe’s diameter is 2.5 inches and that the insulation around the pipe is 0.5 inch thick. Therefore, the radius of the pipe with the insulation around it is:

r = 2.5 inches + 0.5 inch = 3 inches

Plugging in the values:

C = 2 * π * 3

C = 6.28 * 3

C = 18.84 inches

Note that this is only an approximation, as the thickness of the insulation is slightly larger than the diameter of the pipe. To obtain a more accurate result, we would need to use a geometric area formula or a numerical integration technique.

The number of ways to choose the colors is 36

The given parameters are:

Colors = 9

Colors to choose = 7

Since order does not matter, then it is combination

This is calculated using:

\(^nC_r = \frac{n!}{(n - r)!r!}\)

This gives

\(^nC_r = \frac{9!}{7!2!}\)

Evaluate

\(^nC_r = 36\)

Hence, the number of ways is 36

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Answer:

Placements are basically extended internships or work experience assignments

Step-by-step explanation:

Answer:

Step-by-step explanation:

To differentiate the function y = x^4 - x, we will use the power rule of differentiation. The power rule states that if f(x) = x^n, then the derivative of f(x) is f'(x) = nx^(n-1).

So, for y = x^4 - x, we can find the derivative as follows:

y' = 4x^3 - 1

So, the derivative of the function y = x^4 - x is y' = 4x^3 - 1.

The sequence that shows the numbers in order from least to greatest is D. 2.14 < 2.8 < 3.16227766017.

The sequence that shows the numbers in order from least to greatest is D. 2.14 < 2.8 < 3.16227766017.What is the meaning of the inequality symbols?The inequality symbols are mathematical symbols that are used to compare two values.

They indicate the relationship between two values that are not equal to each other. Here are the inequality symbols:

< (less than)≤ (less than or equal to)> (greater than)≥ (greater than or equal to)What is the meaning of the sequence?

A sequence is a set of numbers arranged in a particular order. The order of the numbers in a sequence can be from smallest to largest or largest to smallest.

The sequence D. 2.14 < 2.8 < 3.16227766017 is arranged from smallest to largest because the first number in the sequence, 2.14, is the smallest, and the last number in the sequence, 3.16227766017, is the largest.

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The mass of Sand that Carla needs to purchase for the sand tank is gotten to be; 25811 g

Formula for density is;

Density = mass/volume

From the box we are given, it's volume is;

Volume = 30 * 30 * 76

Volume = 68400 cm³

Now, from conversion;

1 cm³ = 1g. Thus;

68400 cm³ = 68400 g

Volume = Mass/density

Volume = 68400/2.65

Volume = 25811 g

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Answer:

A.)

H0: μ ≤ 31

H1: μ > 31

B.)

H0: μ ≥ 16

H1: μ < 16

C.)

Right tailed test

D.)

If Pvalue is less than or equal to α ; we reject the Null

Step-by-step explanation:

The significance level , α = 0.01

The Pvalue = 0.0264

The decision region :

Reject the null if :

Pvalue < α

0.0264 > 0.01

Since Pvalue is greater than α ; then, we fail to reject the Null ;

Then there is no significant evidence that the mean graduate age is more Than 31.

B.)

H0: μ ≥ 16

H1: μ < 16

Null Fluid contains 16

Alternative hypothesis, fluid contains less than 16

One sample t - test

C.)

Null hypothesis :

H0 : μ ≤ 12

. The direction of the sign in the alternative hypothesis signifies the type of test or tht opposite direction of the sign in the null hypothesis.

Hence, this is a right tailed test ; Alternative hypothesis, H1 : μ > 12

d.)

If Pvalue is less than or equal to α ; we reject the Null.

Answer:

36

Step-by-step explanation:

you would just to 39^2-15^2 which is 1296 and the square root of that is 36 so 36 would be the answer

Answer:

only god knows

Step-by-step explanation:

because they didn't give us an answer on how many text messages anyone sent

Answer:60mm

Step-by-step explanation:

288,000 π = (4/3)πr³

Divide both sides by π

288,000 = (4/3)r³

Multiply both sides by 3/4

216,000 = r³

Take the cube root of both sides

60 = r

Answer:

  1600 boxes of cookies; 350 boxes of chocolates

Step-by-step explanation:

Let x and y represent the numbers of boxes of cookies and chocolates to order, respectively. The constraints seem to be ...

The objective function we want to maximize is ...

  p = 2.70x +2.45y

_____

Looking at the problem, we see that cookies yield the most profit, so we'd like to maximize the boxes of cookies sold within the allowed limits.

There are two limits on x:

  x ≤ 550 +3y

  x ≤ 1950 -y

x will be as large as it can be if it bumps up against these limits simultaneously:

  550 +3y = 1950 -y

  4y = 1400 . . . . . . . . . add y-550

  y = 350

  x = 1950 -350 = 1600

Profit will be maximized for an order of 1600 boxes of cookies and 350 boxes of chocolates.

_____

The "feasible region" of the solution is where the three constraint inequalities overlap. It is a quadrilateral with vertices at (0, 0), (550, 0), (1300, 650), and (1600, 350). We can reject the ones with x or y being 0. Per our analysis above, the solution of interest is (x, y) = (1600, 350), since it maximizes x.

The usual protocol for solving a linear programming model like this is to evaluate the objective function at each of the vertices. With a little thought about the problem, we have saved some evaluation effort.

The triangle for which angle a =30\degree, angle b=45\degree, and a=20, side a ≈ 20, side b ≈ 28.284, and side c ≈ 38.636

Two angles (a and b) and one side (a) are provided for us to solve the triangle. Let's call the side across from angle a side A, the side across from angle b side B, and the side across from the final angle (angle c) side C.

Here, it is given that,

angle a = 30 degrees

angle b = 45 degrees

side a = 20

angle c = 180 - (angle a + angle b)

angle c = 180 - (30 + 45)

angle c = 180 - 75

angle c = 105 degrees

We know that, a/sin(A) = b/sin(B) = c/sin(C)

a/sin(A) = b/sin(B) = c/sin(C)

20/sin(30) = b/sin(45) = c/sin(105)

b/sin(45) = 20/sin(30)

b = (sin(45) * 20) / sin(30)

b ≈ (0.7071 * 20) / 0.5

b ≈ 14.142 / 0.5

b ≈ 28.284

Now,

c/sin(105) = 20/sin(30)

c = (sin(105) * 20) / sin(30)

c ≈ (0.9659 * 20) / 0.5

c ≈ 19.318 / 0.5

c ≈ 38.636

Thus, side a ≈ 20, side b ≈ 28.284, and side c ≈ 38.636.

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The 1995 processor when compared to the processor in today's phones is 12 .5 times larger .

To find how much larger the 1995 processor is , you first need to find the area of the processors.

Area of 1995 processor:

= 3. 8 x 2 . 9

= 11. 02 cm ²

Area of 2005 processor :

= 1. 1 x 0. 8

= 0. 88 cm ²

In comparison to the 2009 processor, the 1995 processor is :

= 11. 02 / 0.88

= 12 .5 times larger

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Answer:

Below

Step-by-step explanation:

y =  100 - ( x-250)/20  *8      for every 20 above 250 eight fewer students from the 100 who would enroll at 250 level   ( this is for x >= 250...the question says nothing about enrollment change from lowering the price BELOW 250)

Answer:

at least 16 days

Answer:

16 days

Explanation:

First find the difference between these two dates by subtraction.

month / day / year

   06 / 03 / 2016

(-) 05 / 18 / 2016

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

      1 / -15 / 0

Time between:

= 1 month - 15 days

= 31 days - 15 days

= 16 days

well, from the end of year 5 to the end of year 6 is only 1 year later, so

\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$3315.30\\ P=\textit{original amount deposited}\dotfill & \$3203.19\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &1 \end{cases} \\\\\\ 3315.30=3203.19[1+(\frac{r}{100})(1)] \implies \cfrac{3315.30}{3203.19}=1+\cfrac{r}{100} \\\\\\ \cfrac{3315.30}{3203.19}-1=\cfrac{r}{100}\implies 100\left( \cfrac{3315.30}{3203.19}-1 \right)=r\implies \stackrel{\%}{3.5}\approx r\)

Answer:

Distribute

Step-by-step explanation:

4 x 5 = 20

4 x -a = -4a

-4a + 20 = 12

-20 From both sides

-4a = -8

Divide both sides by negative 4

a = 2

Answer:

Step-by-step explanation:

4(5-a)=12 divide each side by 4

5-a=3 subtract 5 from each side

-a=-2 divide each side by -1

a=2

or

4(5-a)=12 carry out multiplication indicated on left side

20-4a=12 subtract 20 from each side

-4a=-8 divide each side by -4

a=2

Answer:

Step-by-step explanation:

Protein ,fat and, calories. I think that’s it

Answer:

28 hours

Step-by-step explanation:

3x4 = 12

4x4= 16

12+16=28 hours

Answer:

C. 28 Hours

Step-by-step explanation:

3 hours times 4 weeks = 12 hours

4 hours times 4 weeks = 16 hours

12 + 16 = 28 hours

Answer:

a) 5+(-1)

b) 5-1

c) 4 is the value

Answer:

the answer is (D) F-1 (X) = 7x - 3

Step-by-step explanation:

Now, By slope formula,

\( \sf \large \: m = \frac{ y _{2} - y_{1} }{ x_{2} - x_{1} } \)

Putting the values,

\( \sf \: m = \frac{3 - 5}{3 - 2} \)

\( \sf \: m = \frac{ - 2}{1} \: \:i.e \: \: m = - 2\)

Let us now find the equation in slope intercept or point slope form

\( \sf(y - y_{1} ) = m(x - x_{1})\)

\( \sf(y - 5) = - 2(x - 2)\)

\( \sf \: y - 5= - 2x + 4 \)

\( \sf \: y = - 2x + 4 - 5\)

\( \boxed{\sf \: y = - 2x - 1}\)

The average T2, T7, T6, T4, and T10 in Processor 1

T8, T9, T3, T1, and T5 on Processor 2.

Work on tasks t2, t7, t6, t4, and t10 will be done by processor 1. The first task to be finished is task t2, followed by tasks t7, t6, t4, and lastly t10. Work on tasks t8, t9, t3, t1, and t5 will be done by processor 2. The first work to be finished is task t8, followed by t9, t3, t1, and ultimately t5. In order to finish the job quickly, both processors will cooperate, with Processor 1 concentrating on the early tasks and Processor 2 concentrating on the later duties. This guarantees that the project is finished on schedule and that all the tasks are carried out in the proper order.

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