Isaac started an iphone screen replacement business. he charges $15 for each screen his shop replaces. isaac currently employs 4 workers and the shop replaces 43 screens per day. business is good, so he is considering hiring another worker. if he did, the total number of screens his shop can replace each day would be 49. what is the value of the marginal product of labor for the 5th worker? $ ____

To find a certain part of the arc:

   ⇒ we find a fraction of the circumference

Based on the diagram and information given:

         ⇒ which spans 116 degrees of the entire 360 degrees the whole

             arc covers

Thus let's solve:

  [tex]Length_.of_.arc = (\frac{116}{360})*(2*\pi *14)[/tex] ≈ [tex]28.34_.meters[/tex]

Answer: 28.34 meters

Hope that helps!

Answer:

Step-by-step explanation:

The parameter of interest can be found by putting the given values into the appropriate volume or area formula for a pyramid, then solving for the unknown. The relevant formulas are ...

  V = 1/3s²h . . . . . s is the base length; h is the height

  A = s(s +2h) . . . . s is the base length; h is the slant height

__

Using the given values for the volume and the length of the base, the formula becomes ...

  V = 1/3s²h

  96 m³ = 1/3(6 m)²h . . . . . . . . . . use the given values for V, s

  (96 m³)/(12 m²) = 8 m = h . . . . . divide by the coefficient of h

The height of the pyramid is 8 meters.

__

Using the given values for area and the length of the base, the formula becomes ...

  A = s(s +2h)

  47.25 in² = (3.5 in)(3.5 in + 2h) . . . . use the given values for A, s

  13.5 in = 3.5 in + 2h . . . . . . . . . . . divide by 3.5 in

  10 in = 2h . . . . . . . . . . . . . . . . . subtract 3.5 in

  5 in = h . . . . . . . . . . . . . . . . divide by 2

The slant height of the pyramid is 5 inches.

Answer:

[tex]=15km[/tex]

Explanation:

[tex]12[/tex] [tex]km[/tex] ÷ [tex]4[/tex]

[tex]=3[/tex] [tex]km[/tex] per trip to school

Now that we know that Layla walks 3 km to walk to school, we multiply that by 10

[tex]3[/tex] [tex]km[/tex] × [tex]5[/tex] [tex]trips[/tex]

[tex]=15[/tex] [tex]km[/tex]

∴ Layla walked 15 km in total

Answer:

60π

Step-by-step explanation:

Formula for surface area of a cylinder is 2πrh + 2r²π

2πrh: this is the formula to find the area of the cylinder itself (circumference of the base times the height of the cylinder)

2r²π: this is the formula to find the area of the 2 circles at the end of the cylinder (area of a circle times 2)

We can substitute h with 7 and r with 3 to solve:

2πrh + 2r²π

2(3)(7)π + 2π(3²)

42π + 18π

60π

That is your answer

- Kan Academy Advance

The value of cot x/2 is √3/√5.

Trigonometry, the branch of mathematics concerned with specific functions of angles and their application to calculations.

given:

cos x=-1/4

sin x= √15/4

cosec x= 4/√15

and, cot x= -1/√15

Now, cot x/2= cosec x+ cot x

= 4/√15-1/√15

= 3/√15

= √3/√5

Hence, the value of cot x/2 is  √3/√5.

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Answer:

512

Step-by-step explanation:

or is the 4 4 a fraction? if it was a fraction, it is 32 bc 4 4 = 1.

Answer:

Step-by-step explanation:

Figure Interpretation:

m∠CBA + m∠CDE = 180

m∠BCA = (180-m∠CBA)/2

m∠DCE = (180-m∠CDE)/2

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

Then

m∠BCA + m∠DCE = (180-m∠CBA)/2 + (180-m∠CDE)/2

                                = [360-(m∠CBA+m∠CDE)]/2

                                = [360 - 180]/2

                                = 90

finally,

m∠ACE= 180 - (m∠BCA + m∠DCE)

             = 180 - 90

             = 90

Answer:

If I'm right, the answers should be 40.

Answer:

Step-by-step explanation:

Y=6x - 7

6x - 7 = Y

6x = Y + 7

6x/6 = Y + 7/6

X = Y + 7

Answer:

See below ~

Step-by-step explanation:

Question 4

Finding the lateral area :

⇒ Lateral area = 2πrh

⇒ Lateral area = 2π(8)(20)

⇒ Lateral area = 320π cm²

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

Finding the surface area :

⇒ Surface area = Lateral area + 2 × area of the circle

⇒ Surface area = 320π + 2 × π(8)²

⇒ Surface area = 320π + 128π

⇒ Surface area = 448π cm²

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

Question 5

⇒ In this scenario, the part that is painted is the lateral area

⇒ Area painted = 6 × 4 × 170

⇒ Area painted = 24 x 170

⇒ Area painted = 4,080 mm³

Answer:

₹165.79

Step-by-step explanation:

Given:-

No. of electric bulbs = 1000

cost of each electric bulb = ₹ 150

No. of bulbs broken = 50

Selling price of each bulb = x

Profit percentage = 5%

To Find:-

The selling price of each bulb.

Solution:-

Cost price of 1000 electric bulbs,

= 1000 × ₹150

= ₹1,50,000

5% profit on the total cost price,

= {5}/{100}× ₹150000

= ₹7500

Total selling price = ₹157500

No. of bulbs remaining = 950

Therefore, selling price of each bulb,

= {₹157500}/{950}

= ₹165.79

Therefore,

Selling price of each bulb = ₹165.79

Answer:

4

Step-by-step explanation:

Answer: 5+10-15=30

5=35

=7

х=49

5√49+10-15=30

30=30

+1+7=4

=-4

it is no solution

Step-by-step explanation:

Answer:

75 more girls.

Explanation:-

Given:- Ratio of girls to boys = 5:3

And, the number of boys= 300

Let boys be 4x and girls be 5x

So, 4x = 300 (Given)

x = 300/4 = 75

Thus number of girls:- 5x = 5×75= 375 girls

now you take the 375 girls minus the 300 boys.

375-300 = 75 Girls more

~~~~-Hope this helped-~~~~

Answer:

They bought 32 pencils

Step-by-step explanation:

5.76 divided by 0.18 = 32

Answer:

    27. (4) 4 in

    28. (2) 13

Step-by-step explanation:

Question 27

Question 28

The value of x in tan(x)=sin38° is 31.6 and the value of x in cosec(x+10°)=1.345​ is 38.0

The equations are given as:

tan(x)=sin38°

cosec( x+10°)=1.345​

In tan(x)=sin38°, we have:

tan(x)=0.6157

Take the arc tan of both sides

x = 31.6

Also, we have:

cosec(x+10°)=1.345​

Take the inverse of both sides

sin(x+10°) = 0.7434

Take the arc sin of both sides

x+10 = 48.0

Subtract 10 from both sides

x = 38.0

Hence, the value of x in tan(x)=sin38° is 31.6 and the value of x in cosec(x+10°)=1.345​ is 38.0

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using Indices we can simplify the square root of 10,000,000 using powers of ten is: [tex]10^{7/2}[/tex]

Indices in mathematics can be defined as a value that takes up in index form but still retain its magnitude.

It is writing big or complicated values in a simpler and smaller way.

Indices is so important for simplicity purposes.

in conclusion, using Indices we can simplify the square root of 10,000,000 using powers of ten is: [tex]10^{7/2}[/tex]

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Answer:

I think 24.

Step-by-step explanation:

Answer:

Linear

Step-by-step explanation:

X = X + 1

Y= Y *3

A table of data is linear if there is a constant average rate of change between all pairs of points

There is because X is being added one every time and Y is being multiplied by 3 every time.

Hope this helps!

Answer:

6

Step-by-step explanation:

you times it and you get the answer

Answer:

The triangle is a right triangle.

Step-by-step explanation:

Since The Pythagorean Theorem only works on right triangles, we can use this knowledge to prove whether this triangle is right:

[tex]a^2 + b^2 = c^2\\10^2 + (2\sqrt{39})^2 = 16^2\\100 + (4 \times 39) = 256\\100 + 156 = 256\\256 = 256[/tex]

Therefore, the triangle is right.

Answer:

The answer should be 420.

~

Step-by-step explanation:

Answer:

1) C (Not Sure as Much as I do for #2 & #3)
2) D
3) C

The ratio of the area of sector abc to the area of sector dbe is 4:3

The formula for calculating the area of a sector is expressed as:

A = r²Ф

where:

For the sector ABC

A1 = (2r)²β
A1 = 4r²β

For the sector DBE
A2 = (r)²3β
A2 = 3r²β

Take the ratios

Ratio= A1/A2
Ratio = 4r²β/3r²β
Ratio = 4/3

Hence the ratio of the area of sector abc to the area of sector dbe is 4:3

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Answer:

≈ [tex]\sf 203[/tex]

Answer:

17,964.9 cubic meters

Step-by-step explanation:

Hey there!

The formula for finding the area of a sphere is:

[tex]V=(4/3)\pi r^3[/tex]

Where V is volume, and r is radius

The question already tells us that the diameter is 32.5m

*Remember, the diameter isn't the radius. It is the radius times two*

Now, we have to divide 32.5 by 2 to get the radius

32.5/2 is 16.25

Now we can plug this into the formula

16.25 cubed is 4291 after being rounded to the nearest tenth

Now we multiply 4291 by 3.14 (pi)

4291 x 3.14 is 13473.7 after being rounded to the nearest tenth

Now multiply 13473.7 by 4/3 and then you will get the volume to the sphere

13473.7 x 4/3 is 17964.93333333...

Since it is asking us to round to the nearest tenth of a cubic meter;

The volume of the sphere will be 17,964.9 cubic meters

[tex]\rule{300}{1}[/tex]

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

What is the volume of a sphere with a diameter of 32.5 m, rounded to the nearest tenth of a cubic meter (m³)?

[tex]\dashrightarrow\large\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

We are asked to find the volume of a sphere, which we can find using the following formula:-

[tex]\bold{V=\dfrac{4}{3} \pi r^3}[/tex]

[tex]\bold{r=d\div2}[/tex]

Replace d with 32.5:-

[tex]\bold{r=32.5\div2}[/tex]

Therefore, the sphere's radius is as follows:-

[tex]\bold{r=16.25}[/tex] m

[tex]\rule{300}{1}[/tex]

Now, let's find the sphere's volume, which, as I mentioned earlier, can be found with the help of this formula:-

[tex]\bold{V=\dfrac{4}{3} \pi r^3}[/tex]

Replace r with 16.25:-

[tex]\bold{V=\dfrac{4}{3} \pi (4291)}[/tex]           Next, we replace π with 3.14:-

[tex]\bold{V=\dfrac{4}{3} \times3.14\times4291}[/tex]

On simplification,

[tex]\bold{V=\dfrac{4}{3} \times13,473.74}[/tex]

On further simplification,

[tex]\bold{V=17,964.9\:m^3}\Longleftarrow\sf{volume\:of\:the\:sphere}[/tex]

[tex]\rule{300}{1}[/tex]