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Elis [28]
3 years ago
7

Kay buys 12 pounds of apples. Each pound costs $3.if she gives the cashier two $20 bills, how much change should she receive.

Mathematics
1 answer:
zlopas [31]3 years ago
7 0

12 pounds x $3 = $36

$40 - $36 = $4

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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
Is anyone good at elimination method? I will give 10 points to the person that answer the question. :)
Licemer1 [7]
To eliminate x, the coefficients of x's in both equations should be opposite numbers. Since the coefficient of x in the second equation is 3, the coefficient in the first equation should be -3. So she should multiply the first equation by -3.
8 0
3 years ago
Read 2 more answers
Brainliest for correct awnser! What is the domain of f(x)?
Marina86 [1]

Answer:

\mathrm{B.} All real numbers except x = 2, x = 5

Step-by-step explanation:

If the denominator is equal to 0 then the function would be undefined.

Set the denominator equal to 0.

x² - 7x + 10 = 0

Factor the left side of the equation.

(x - 5)(x - 2) = 0

Set the factors equal to 0.

x - 5 = 0

x = 5

x - 2 = 0

x = 2

The domain is all real numbers except x = 2 and x = 5.

5 0
2 years ago
Which postulate proves the two<br> triangles are congruent?
sammy [17]

Answer:

<em>AAS</em>

Step-by-step explanation:

<em>because</em><em> </em><em>here </em><em>it </em><em>is </em><em>given</em><em> </em><em>that </em><em>two </em><em>angle </em><em>are</em>

<em> </em><em>equal</em>

and a side is common between both traingle

so, both traingle are congruent by

<em><u>AAS</u></em>

hope it helps

5 0
2 years ago
Need help asap <br><br> 6. Which line has a slope equal to 1?<br><br> HELP ON 7 two
alex41 [277]

Answer:

6 is the third one 7 is D

Step-by-step explanation:

hope this helps

if its wrong my bad

8 0
2 years ago
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