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miss Akunina [59]
2 years ago
14

Two electricians are assigned to work on a remote control wiring job. One electrician works 8 1/2 hours each day, and the other

electrician works 2 1/2 hours each day. If both work for 5 days, how many hours longer does
the first electrician work than the second electrician?
Mathematics
1 answer:
klasskru [66]2 years ago
6 0
8.5 • 5 = 42.5
2.5 • 5 = 12.5
42.5 - 12.5 = 30
The first electrician worked 30 hours longer than the second electrician.
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A circle has a radius of 3it has an arc with a 20 degree central angle
alexandr402 [8]

Answer:

Step-by-step explanation:

The circumference of the circle is 6π inches  

The length of the arc is (20/360)×6π = 1.04 inches  

(The complete circumference would cover 360°. Angle ALB is 20°)

7 0
2 years ago
Evaluate the integral. (Assume a ≠ b. Remember to use absolute values where appropriate. Use C for the constant of integration.)
Bess [88]

Answer:

<u><em>F(x)= 5*[\frac{x^{3} }{3} + (a*b)*\frac{x^{2} }{2} + a*b*x + C.</em></u>

Step-by-step explanation:

<u><em>First step we aplicate distributive property to the function.</em></u>

<u><em>5*(x+a)*(x+b)= 5*[x^{2}+x*b+a*x+a*b]</em></u>

<u><em>5*[x^{2}+x*(b+a)+a*b]= f(x), where a, b are constant and a≠b</em></u>

<u><em>integrating we find ⇒∫f(x)*dx= F(x) + C, where C= integration´s constant</em></u>

<u><em>∫^5*[x^{2}+x*(a+b)+a*b]*dx, apply integral´s property</em></u>

<u><em>5*[∫x^{2}dx+∫(a*b)*x*dx + ∫a*b*dx], resolving the integrals </em></u>

<u><em>5*[\frac{x^{3} }{3} + (a*b)*\frac{x^{2} }{2} + a*b*x</em></u>

<u><em>Finally we can write the function F(x)</em></u>

<u><em>F(x)= 5*[\frac{x^{3} }{3} + (a*b)*\frac{x^{2} }{2} + a*b*x ]+ C.</em></u>

4 0
3 years ago
A manufacturing company ships its product in two different sizes of truck trailers. Each shipment is made in a trailer with dime
kherson [118]

Answer:

Mean volume shipped per trailer load = 2960 ft³

Step-by-step explanation:

Since both trailers are always full,

Total volume in one 30 feet trailer shipment = 8 × 10 × 30 = 2400 ft³

Total volume in one 40 feet trailer shipment = 8 × 10 × 40 = 3200 ft³

Assuming a basis of 10 shipments, 3 shipments are done using the 2400 ft³ trailer and 7 shipments are done using the 3200 ft³ trailer.

Mean volume shipped per trailer load = total volume shipped/number of shipments

Total volume shipped = (3 × 2400) + (7 × 3200) = 7200 + 22400 = 29600 ft³

Number of shipment in the basis used = 10

Mean volume shipped per trailer load = 29600/10 = 2960 ft³

4 0
3 years ago
a rectangular room is 2meters longer than it is wide, and it's perimeter is 24 meters. find the dimension of the room​
asambeis [7]

2l + 2(l+2)=24 \\2l +2l+4=24 \\4l=20 \\\boxed{l=5}

Length of the room is 5 m and width is 5 + 2 = 7 m.

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Answer:

0?

Step-by-step explanation:

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3 years ago
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