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kifflom [539]
3 years ago
5

To make a profit, Ethan knows that his prime cost of producing a part must be no more than $189.27. It takes 2 hours for a machi

nist to make the part. The direct cost of materials is $98.62. To the nearest dollar, what can he afford to spend on direct labor costs per hour?
Mathematics
1 answer:
Radda [10]3 years ago
6 0

Answer:

$45/h

Step-by-step explanation:

So, we have a total maximum cost for the finished product and we have the raw material costs... but we need to figure out the maximum labor cost (for 2 hours).

We can express this as follows (remember it takes 2 hours of labor):

98.62 + 2x <= 189.27

2x <= 90.65

x <= 45.325

Rounded to the nearest dollar: $45

The maximum cost Ethan can afford in labor is $45/h for the 2 hours machining of the parts.

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F(x)= x-2/ x-4
hodyreva [135]

Answer:

The discontinuity is x = 4

There no holes

The equation of the vertical asymptote is x = 4

The x intercept is 2

The equation of the horizontal asymptote is y = 1

Step-by-step explanation:

* Lets explain the problem

∵ f(x)=\frac{x-2}{x-4}

- To find the point of discontinuity put the denominator = 0 and find

 the value of x

∵ The denominator is x - 4

∵ x - 4 = 0 ⇒ add 4 to both sides

∴ x = 4

* The discontinuity is x = 4

- A hole occurs when a number is both a zero of the numerator

 and denominator

∵ The numerator is x - 2

∵ x - 2 = 0 ⇒ add 2 to both sides

∴ x = 2

∵ The denominator is x - 4

∵ x - 4 = 0 ⇒ add 4 to both sides

∴ x = 4

∵ There is no common number makes the numerator and denominator

   equal to 0

∴ There no holes

- Vertical asymptotes are vertical lines which correspond to the zeroes  

  of the denominator of the function

∵ The zero of the denominator is x = 4

∴ The equation of the vertical asymptote is x = 4

- x- intercept is the values of x which make f(x) = 0, means the

 intersection points between the graph and the x-axis

∵ f(x) = 0

∴ \frac{x-2}{x-4}=0 ⇒ by using cross multiplication

∴ x - 2 = 0 ⇒ add 2 to both sides

∴ x = 2

* The x intercept is 2

- If the highest power of the numerator = the highest power of the

 denominator, then the equation of the horizontal asymptote is

 y = The leading coeff. of numerator/leading coeff. of denominator

∵ The numerator is x - 2

∵ The denominator is x - 4

∵ The leading coefficient of the numerator is 1

∵ The leading coefficient of the denominator is 1

∴ y = 1/1 = 1

* The equation of the horizontal asymptote is y = 1

6 0
3 years ago
Please help me with this
Tju [1.3M]

Answer:

Option 2: m∠1 = 147°, m∠2 = 80°, m∠3 = 148°

Step-by-step explanation:

Step 1: Consider triangle ABC from the picture attached below.

Lets find angle x

x + 47 + 33 = 180 (because all angles of a triangle are equal to 180°)

x = 100°

Angle x = Angle y = 100° (because vertically opposite angles are equal)

Step 2: Find angle 2

Angle 2 = 180 - angle x (because angle on a straight line is 180°)

Angle 2 = 180 - 100

Angle 2 = 80°

Step 3: Find angle z

48 + y + z = 180° (because all angles of a triangle are equal to 180°)

z = 32°

Angle 3 = 180 - angle z (because angle on a straight line is 180°)

Angle 3 = 180 - 32

Angle 3 = 148°

Step 4: Find angle 1

Angle 1 = 180 - 33 (because angle on a straight line is 180°)

Angle 1 = 147°

Therefore m∠1 = 147°, m∠2 = 80°, m∠3 = 148°

Option 2 is correct

!!

3 0
3 years ago
(MARKING BRAINLIEST TO FIRST CORRECT ANSWER!) Which statement below is true?
evablogger [386]

Answer:

A. All squares are rectangles because both are quadrilaterals, have 90-degree angles and the opposite sides are parallel.

Step-by-step explanation:

This is the only true statement because all squares are rectangles just with equal sides, the angles will always be 90-degrees.

Hope this helps!

If not, I am sorry.

7 0
1 year ago
At a certain time of day, a vertical pole 8ft high casts a 5ft shadow. How long is the shadow of a 4ft child?
snow_tiger [21]
We can look at 2 similar triangles.
1st triangle has legs: a vertical pole and its shadow, and
2nd triangle has legs legs : a child and his(her) shadow.

We can write a proportion:
height of a pole/height of a child= shadow of a pole/shadow of a child

8/4 = 5/shadow of a child
shadow of a child=(5*4)/8=5/2 ft
Answer: 5/2 ft

8 0
3 years ago
2/3 of it is 30<br> What’s the number?
larisa [96]

Answer:

The number is 45.

Step-by-step explanation:

2/3x=30

x=30/(2/3)

x=(30/1)(3/2)

x=90/2

x=45

7 0
3 years ago
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