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mars1129 [50]
3 years ago
10

A person's weekly pay is directly proportional to the number of hours worked. Mike's pay is $150 for 10 hours of work. Find the

amount of pay for 15 hours of work
Mathematics
2 answers:
Ilya [14]3 years ago
6 0

Answer:...

Step-by-step explanation:

Otrada [13]3 years ago
3 0

Answer:

22

Step-by-step explanation:

150/10 = 15

15x15 = 225

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Can someone help
lubasha [3.4K]

9514 1404 393

Answer:

  C.  jump discontinuity at x=-2

Step-by-step explanation:

At x=-2, you have to lift your pencil to keep drawing the graph. That means there's a jump discontinuity there.

This function has a jump discontinuity at x = -2.

__

<em>Additional comments</em>

At x=3, there is no discontinuity in the function. The <em>derivative</em> of the function has a discontinuity there, as there is an abrupt change in slope at that point.

If left and right limits exist and are the same at a point, but the graph is not defined at that point, then a <em>removable</em> discontinuity exists. All that is needed to fill the hole is to define the function at that point.

8 0
3 years ago
5 - 9.5 = 5 + __<br><br> ^^ Enter a number in the space provided to make the equation true.
amm1812

Answer:

(-9.5)

Step-by-step explanation:

since 5-9.5=-4.5 th number has to be negative so the answer is -9.5

5 0
3 years ago
Read 2 more answers
Circle A has a radius of 6. Which circles
Galina-37 [17]

Answer: circle e, circle f

Step-by-step explanation:

4 0
3 years ago
Mitchell has a small bag with 12 M&amp;Ms in it. 5 of the M&amp;Ms are yellow. 2 are green. 1 is orange. 4 is brown. what fricti
Sophie [7]

Answer:

1/3

Step-by-step explanation:

There are 4 brown M&Ms and 12 M&Ms in total.

Since both 4 and 12 are divisible by 4,

4/12 = 1/3

6 0
3 years ago
Find, correct to the nearest degree, the three angles of the triangle with the given vertices. A(1, 0, −1), B(4, −3, 0), C(1
zavuch27 [327]

Answer:

Angle at vertex  A : 59.2° B: 61.7° C : 59.1°

Step-by-step explanation:

1. First find the length of the vectors  

AB = B-A = (4-1, 3-0, 0-1) = (3, 3, -1)

AC = C-A = (1-1, 4-0, 3-1) = (0, 4, 2)

BC = C-B = (1-4, 4-3, 3-0) = (-3, 1, 3)

2. Find magnitude of the vectors

|AB| = √(3^2+3^2+〖(-1)〗^2 )=√19  

|AC| = √(0^2+4^2+2^2 )=2√5

|BC| = √(〖(-3)〗^2+1^2+3^2 )=√19

3. Find the angles between them

cos θ = (a.b)/(|a||b|) -----> θ = arc cos ((a.b)/(|a||b|))

AB, AC : θ =arc cos (AB.AC)/(|AB||AC|) = arc cos ( (3.0+3.4+ -1.2)/(√19  x 2√5)=  10/(2√95) ) =59.136, which is approximately 59.14°

AB, BC : θ =arc cos (AB.BC)/(|AB||BC|) = arc cos( (3.-3+3.1+ -1.3)/(√19  x √19)=  (-9)/19 ) = 118.27°

Because of the direction of BC is pointing relative to AB this is the angle outside the triangle, and we should find the supplementary angle.

180-118.27 = 61.73°

If we used –(BC) = CB in the formula (just negate the numerator) we would have gotten the correct angle on first try.

The 3rd angle should be what’s left after subtracting from 180°;

180-61.73-59.14 = 59.13 °

You can confirm using the formula again :

AC, BC : θ =arc cos (AC.BC)/(|AC||BC|) = arc cos( (0.-3+4.1+ 2.3)/(√19  x 2√5)=  10/(2√95) = 59.13°

Rounding everything up so they add up to 180 degrees we have Angle at vertex  A : 59.2° B: 61.7° C : 59.1°

7 0
3 years ago
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