A manufacturer of technological devices has the capacity of producing two different devices (device A and B). There are three phases in the production for these two devices, the first is the construction of the components for the devices, the second is the assembly of the units, and the third is the final finish of the devices before they are packed up and shipped to the customer For each unit of device A it takes 18 hours to create the components, 2 hours to assemble the device, and 1 hours for finishing for a profit of \$1,100 . For each unit of device B it takes 36 hours to create the components, 6 hours to assemble the device, and 1 hours for finishing for a profit of \$2,200 . Each day there are 2100 hours available for the construction of the components, 300 hours available for the assembly of the devices, and 100 hours available for the finishing of the devices. Find the number of devices of A and B that they should create each day to maximize profit. Show all the necessary steps needed to solve this problem . You may use your calculator's graphing functions to help solve this problem . You may NOT use Excel for this exercise . Your final answer should be in the form of a sentence ; place a box around it. Organization and neatness counts! (40 points)

Answer:

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

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Answered by: ms115

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Answer:

y= 1/4x - 3

Step-by-step explanation:

Answer:

Pictured this you have 3/4 of a sandwich and eat half of that 3/4 of the sandwich. you know have eaten 3/8 of a full sandwich and have 3/8 left.

if we were to actually divide 3/4 by 1/2 we would get 1.5 or 1 1/2 which would not make sense, so instead, we multiply and get 3/8

Answer:

The answer is 1/y^7

[tex] \looparrowright \sf \sqrt{ \dfrac{ {y}^{7} }{ {y}^{21} } } [/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf \sqrt{ \dfrac{ {y}^{0} }{ {y}^{21 - 7} } } [/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf \sqrt{ \dfrac{ {y}^{0} }{ {y}^{14} } } [/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf \sqrt{ \dfrac{ 1}{ {y}^{14} } } [/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf \dfrac{1}{ {y}^{7} } [/tex]

[tex]\\ \tt\hookrightarrow 0.54[/tex]

[tex]\\ \tt\hookrightarrow \dfrac{54}{100}[/tex]

More simplify

[tex]\\ \tt\hookrightarrow \dfrac{27}{50}[/tex]

Solution:

Since there is two digits on the right of the decimals, it is called "the hundredths."

Now, we can recite 0.54 as 54 hundredths. The word "54 hundredths" defines 54/100. Hence, Option A is correct.

Further Simplification

Answer:

2+5+30/2=18.5

or,

37/2=18.5

Answer:

8 teams

Step-by-step explanation:

48/6 = 8

Answer:

45 students still haven't given their speeches

Step-by-step explanation:

90/6 = 15

90-15 = 75

75/5 = 15

15*2 = 30

75-30 = 45

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Answer:

4 pounds and 1/4 ounces

Step-by-step explanation:

8 and 1 half pounds = 8.5 Ibs

One half of 8.5 = 8.5/2 = 4. 25 Ibs or 4 & 1/4  or 4Ibs 4 ounces.

answer:

3

explanation:

3x-10 > -4

3x > 6

x > 2

hence, the smallest integer value of x is 3.

74032+891+31143 = 106066

Answer:

x = 4

Step-by-step explanation:

2x - 8 = 0

2x = 8

x = 8/2

x = 4

Answer:

32

Step-by-step explanation:

angle a is the outside angle. It creates a circle that will always equal 360 degrees. Since the outside angle is 302, the inside angle must be 58 degrees (360-302). The top square angle will be 90 degrees (a square angle is always 90 degrees). Since the angles in a triangle always add up to 180 degrees, we need to add 58 and 90, and then subtract it from 180, which equals 32. So, angle x equals 32.

Answer:

x = 32°

Step-by-step explanation:

The triangle is 58°. I know this because the question stated that "a" is 302. A full circle is 360. So you can subtract 360 - 302 = 58. There is a small corner of a square in the other side of the triangle. With that we know that, that side has to be 90°. A triangle is 180° total. So we can subtract:

180 - 90 - 58 = 32

Therefore, x = 32°

Answer: Answer:    2/5. Step-by-step explanation: The prime numbers from 1 to 20 are 2, 3, 5, 7, 11, 13, 17 and 19. A total of 8. ... = 2/5. Still stuck? Get 1-on-1 help

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

What is the probability of rolling a prime number of a standard 20-sided die? (1 is not a prime number.)

a.

7/20

b.

2/5

c.

9/20

d.

1/2

Answer:

a and b.

Step-by-step explanation:

I’ll explain by giving an example.

Let’s say that: a=3;b=4;c=5; => they all are consecutive -> their sum is 12.

=> if we use a) n=3 => 3*n+3=3*3+3=12 => correct.

b) n+(n+1)+(n+2)= 3+4+5=12=> correct.

c)n+2n+3n=3+6+9=18=>incorrect.

d)3n=3*3=9=>incorrect.

Answer:

24

Step-by-step explanation:

area of circle = πr²

πr² = 144π

Cancel out π

r² = 144

r = √144

r = 12

diameter = 2 x radius

diameter = 2 x 12

diameter = 24m

* diameter is the "width of a circle", the distance from the widest points of the circle

Work Shown:

[tex]\cos(\text{angle}) = \frac{\text{adjacent}}{\text{hypotenuse}}\\\\\cos(65^{\circ}) = \frac{d}{e}\\\\e\cos(65^{\circ}) = d\\\\e = \frac{d}{\cos(65^{\circ})}\\\\[/tex]

Answer:

The solution to the system of equation is

[tex]y=-\frac{19}{11} \\\\x= -\frac{232}{11}[/tex]

Answer:

51

Step-by-step explanation:

PEMDAS means parenthesis (there are none), exponents (there are none), multiplication. So you multiply 8x18 to get 144. Then you have division, so 144/4 is 36. Finally, you add this number to 15 to get 51 as your final answer.

By PEMDAS, the solution of the expression 8x18÷4+15 is 51.

The abbreviation PEMDAS is used to indicate the sequence of steps to be taken when resolving expressions with multiple operations. P is for "parentheses," E is for "exponents," M is for "multiplication," D is for division, A is for addition, and S is for subtraction.

Given:

An expression,

8x18÷4+15.

In order to solve the problem by PEMDAS:

First, solve the multiplication operation,

144÷4+15

Now, solving division operations,

36 + 15

Applying addition operation,

51

Therefore, 51 is the solution to the expression.

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Answer:

  11.5

Step-by-step explanation:

Coordinate values and side lengths are multiplied by the dilation scale factor. (Angle values remain unchanged.)

  W'X' = (1/4)WX

  W'X' = (1/4)(46) = 11.5

Answer:

the answer for this is 12

Answer:

Step-by-step explanation:

If we half the base of the equilateral triangle, which has a length of xcm, we can form a right-angled triangle with a base of x/2 cm and height 2√3 cm.

Now using Pythagoras' Theorem we solve for the hypotenuse:

[tex]x^{2} = (\frac{x}{2})^{2} + (2\sqrt{3})^{2}\\ x^{2} = \frac{x^{2}}{4} + 12\\ 4x^{2} = x^{2} + 48\\ 3x^{2} = 48\\ x^{2} = 16\\x = \frac{+}{}4\\ \\[/tex]

x must be positive as it is a length so we multiply 4 by 3 to get the perimeter of 12.

Answer:

➢ 5.25

I hope it'll help you...

[tex]#CarryOnLearning[/tex]

The number that gives a value of 25 when 1/4 of the number is added to 4 is 80.

The first step is to represent the information in the question as an equation:

1/4x + 5 = 25

In order to determine the number, take the following steps:

Combine similar terms

1/4x = 25 - 5

Add similar terms

1/4x = 20

Multiply both sides of the equation by 2

x = 80

To learn more about multiplication, please check: https://brainly.com/question/14059007

Answer:

See below for answers and explanations (along with a graph attached)

Step-by-step explanation:

Part A

The amplitude of a sinusoidal function is half the distance between the maximum and the minimum. It is given to us that the distance from the highest and lowest point is 6 feet, so our amplitude is 6/2 = 3 feet

Part B

The graph's function would be in the form of [tex]y=acos(bx+c)+d[/tex] where [tex]a[/tex] is the amplitude, [tex]\frac{2\pi}{b}[/tex] is the period, [tex]-\frac{c}{b}[/tex] is the phase/horizontal shift, and [tex]d[/tex] is the average/midline.

We already know our amplitude of [tex]a=3[/tex] from part A.

Since our period is given to us as 26 seconds, then we can use the equation [tex]\frac{2\pi}{b}=26[/tex] to find [tex]b[/tex], which happens to be [tex]b=\frac{\pi}{13}[/tex].

Since the cosine function starts at its maximum and we want it to start at the average where the bottle travels up, we would need to use the cofunction identity [tex]sin(x)=cos(x-\frac{\pi}{2})[/tex] which shifts the cosine graph [tex]\frac{\pi}{2}[/tex] units to the right. This means that [tex]c=-\frac{\pi}{2}[/tex], making our phase shift [tex]-\frac{c}{b}=-\frac{-\frac{\pi}{2}}{\frac{\pi}{13}}=6.5[/tex], or 6.5 feet to the right

Our average/midline would be [tex]d=12[/tex] as given as the average height by the problem.

Therefore, the function is [tex]f(x)=3cos(\frac{\pi}{13}x-\frac{\pi}{2})+12[/tex]

Part C

Using our determined function from Part B, by looking at its graph, we see that the bottle will reach its lowest height of 9 feet after 19.5 seconds (see attached graph).

Part A

The distance from the highest and lowest point is 6 feet. Cut this in half to find the amplitude: 6/2 = 3. The amplitude represents the vertical distance from the midline (aka average height) to either the peak or valley points.

The period is 26 seconds because this is the time difference from one max height to the next max height. This is one of a few ways to measure a full cycle. Another way is from min height to the next min height.

==========================================================

Part B

In this case, the template for cosine is

h = Acos(B(t-C))+D

We found the amplitude A = 3 from the previous section.

The period is T = 26 which means B = 2pi/T = 2pi/26 = pi/13

D = 12 because the average height is 12 feet. The average height is always on the midline.

We are told that t = 0 leads to h = 12, so,

[tex]h = A\cos\left(B\left(t-C\right)\right)+D\\\\h = 3\cos\left(\frac{\pi}{13}\left(t-C\right)\right)+12\\\\12 = 3\cos\left(\frac{\pi}{13}\left(0-C\right)\right)+12\\\\3\cos\left(\frac{\pi}{13}\left(-C\right)\right) = 0\\\\\cos\left(\frac{\pi}{13}C\right) = 0\\\\[/tex]

Let's isolate the C term

[tex]\cos\left(\frac{\pi}{13}C\right) = 0\\\\\frac{\pi}{13}C = \arccos(0)\\\\\frac{\pi}{13}C = \frac{\pi}{2}\\\\C = \frac{\pi}{2}*\frac{13}{\pi}\\\\C = \frac{13}{2}[/tex]

==========================================================

Part C

A full period is 26 seconds.

At t = 0 the bottle is at a height of 12 feet

26 seconds later, the bottle is back again at 12 feet to repeat another cycle indefinitely.

At every quarter cycle, the object is either at a min point, max point, or at the average (midline).

So every 26/4 = 6.5 seconds the object will be in one of those places.

In this case, the object starts at 12 feet, goes up to the max 15 feet when t = 6.5

Then another 6.5 seconds later it's back to the midline again. Another 6.5 seconds later (total time is now 6.5*3 = 19.5 seconds) the bottle dips down to the min height of 9 feet. You should see that (19.5, 9) is one of the infinitely many minimum points on this particular cosine curve.

Answer:

Side length of first square is 10 cm

Side length of second square is 8 cm

Step-by-step explanation:

Let (x + 2) = side length of first square

Let x = side length of second square

Area of a square = (side length)²

⇒ area of first square = (x + 2)²

⇒ area of second square = x²

If the sum of their areas is 100 cm² then:

⇒ (x + 2)² + x² = 100

Expand the brackets:

⇒ x² + 4x + 4 + x² = 100

Collect and combine like terms:

⇒ 2x² + 4x + 4 = 100

Subtract 100 from both sides:

⇒ 2x² + 4x - 96 = 0

Divide both sides by 2:

⇒ x² + 2x - 48 = 0

Factor:

⇒ (x - 6)(x + 8) = 0

Therefore,

⇒ x = 6, x = -8

As distance is positive, x = 8 only.

Therefore, side length of first square is 10 cm

Side length of second square is 8 cm

their income is "x", which oddly enough is the 100% of their income, we also know that 16% of it 240 bucks, so

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 240&16 \end{array}\implies \cfrac{x}{240}=\cfrac{100}{16}\implies 16x=24000 \\\\\\ x=\cfrac{24000}{16}\implies x=1500[/tex]

Answer:

the second answer

NMS MNT

Answer:

22

Step-by-step explanation:

The two transversals of a parallelogram equally divides each other, therefore,

x+40 = 2x+18

(collect the "x" to one side, and integers the other side of the equation)

2x-x = 40-18

x = 22