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Naddika [18.5K]
2 years ago
9

You are paid $82.50 for 7 and a half of hours worked. what is your rate of pay

Mathematics
2 answers:
Mademuasel [1]2 years ago
8 0

Answer:

11 dollars

Step-by-step explanation:

postnew [5]2 years ago
4 0
So you do 7:30 hours is 450 minutes so 82.50/ 450 then times that by 60 and it's 11. so you are paid 11 dollars an hour.
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An object of mass 2020 kg is released from rest 30003000 m above the ground and allowed to fall under the influence of gravity.
Liono4ka [1.6K]

Answer:

Equation of motion

x(t) = -9.81*t  + 3000

The object will strike the​ ground in 305.81 sec

Step-by-step explanation:

a) Determine the equation of motion of the object

If x(t) repsent the distance the object has fallen in t seconds, then we have x'(t) and x''(t) represent the speed and acceleration respectively.

Since the force due to air resistance is proportional to the velocity of the object with proportionality constant b = 50 N-sec/m, we have

<em>F(t) = 50x'(t)  </em>(1)

Due to Newton's 2nd law of motion (assuming the mass remains constant )

<em>F(t) = mx''(t) = 50x''(t) </em>

As the mass was released from rest, <em>the acceleration is the gravity</em>, and

<em>F(t) = 50*(-9.81) = -490.5 N/m </em>

The negative sign is due to the fact that the mass is falling downwards.

Replacing in (1) we get

<em>-490.5 = 50x'(t) ===> x'(t) = -9.81 m/sec </em>

and

<em>x'(t) = -9.81 m/sec </em>

This is a simple differential equation which can be solved directly by integration

<em>x(t) = -9.81*t  + C  </em>

where C is a constant, but we know that x(0) = 3000 m, so

<em>C = 3000 </em>

We then have our final equation of motion which is

x(t) = -9.81*t  + 3000

b) When will the object strike the​ ground?

The object will strike the ground for the instant t for which x(t) = 0

<em>x(t) = 0 ===> 9.81*t = 3000 ===> t = 3000/9.81 ===> </em><em>t = 305.81 sec </em>

3 0
2 years ago
Mark and Don are planning to sell each of their marble collections at a garage sale. If Don has 2 more than 5 times the number o
ch4aika [34]

Mark and Don have 18  and 92 marbles respectively.

<h3>What is the solution of the equation?</h3>

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved.

Let the number of marbles Mark has be x.

According to the question,

Don has (5x+2) marbles.

Total number of marbles=110

Thus, the required equation is:

x+5x+2=110

6x=108

x=108/6

x=18

Mark has 18 marbles.

Don has (5*18+2)=92 marbles.

Learn more about equation here:

brainly.com/question/2972832

#SPJ4

4 0
1 year ago
Mini Sweets Bakery gives customers 2 free cupcakes for every 20 cupcakes they purchase. Their competitor, Yummy Bites Bakery, gi
vlada-n [284]

Answer:

The answer is No the ratio of first is 1:10 but the ratio of the second is 3:25

Step-by-step explanation:

can i have brainllest

8 0
2 years ago
50 points! I will mark brainliest! This is due ASAP! So please hurry... random answer will be reported ;)
bagirrra123 [75]

Answer:

choice 4) right scalene (one right angle and the side opposite that angle is the longest side)

choice 1) obtuse isosceles  (one angle greater than 90 degrees and 2 equal length legs)

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Does anyone know how to do this?
Strike441 [17]

Answer:

196 m^{2}

Step-by-step explanation:

A square is a  <u>shape that which all sides are equal</u>

<em>14 is one side of the square and to find the area of a square/rectangle, you do  </em><u><em>length*width </em></u>

14*14=196

6 0
2 years ago
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