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Darina [25.2K]
3 years ago
7

Explain how the energy of a toy car is transformed as it slides down a ramp. Give evidence that the energy of the car remains th

e same at all points on the ramp.
Mathematics
2 answers:
Aleks04 [339]3 years ago
8 0

Answer:

as the car slides down the ramp it is in kinetic energy and when it is on the top of the ramp it is on potential energy we see that the energy is being transferred

yaroslaw [1]3 years ago
5 0
<span>At the top of a ramp, all of the energy of the car is potential: that is, it has yet to be moved but has the ability to move. As the car is sliding down the ramp, the potential energy is being transformed into kinetic energy, which reaches a maximum at halfway down the ramp. After this point, the kinetic energy begins to lessen and the potential energy begins to increase, until the car comes to a full stop, at which point kinetic energy is at zero and the potential energy is again at a maximum.</span>
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Find the zeros of the function: f(x) = x^2 - 4x - 21
IrinaK [193]

Answer:

x = 7, x = -3

Step-by-step explanation:

We can find the zeros by factoring the equation using the zero product property.

x^2-4x-21 = 0

(x-7)(x+3) = 0

<u>x-7 = 0</u>

x = 7

<u>x+3 = 0</u>

x = -3

Zeros are x=7 and x= -3.

5 0
3 years ago
8. You are paid a commission plus $5.40 per hour with time and a half overtime
Elanso [62]

9514 1404 393

Answer:

  $491.65

Step-by-step explanation:

The pay for the first 8 hours is $5.40 per hour × 8 hours = $43.20. Hours over 8 are paid at 1.5 × $5.40 = $8.10 per hour. There are at least 8 hours every day for the 6-day week. There are hours over 8 on Monday, Wednesday, Thursday, and Friday totaling 7 hours of overtime.

The amount of sales is more than $3000, so 4% will be paid on $3000, and 5% will be paid on the $1115 in excess of $3000.

So, the gross pay is ...

  $43.20 × 6 + 8.10 × 7 = $315.90 . . . . wages

  $3000 × .04 +1115 × .05 = $175.75 . . . commission

  $315.90 +1.75.75 = $491.65 . . . . gross pay for the week

_____

It can be less tedious to let a spreadsheet do the calculations.

6 0
3 years ago
Find the measures of ∠B and ∠C. PLEASE HELP!!
BartSMP [9]

It's an isosceles triangle, therefore m∠B = m∠C.

We have the equation:

2x + 10 = 3x - 5      <em>subtract 10 from both sides</em>

2x = 3x - 15     <em>subtract 3x from both sides</em>

-x = -15     <em>change the signs</em>

x = 15

m∠B = (2x + 10)°

m∠B = (2 · 15 + 10)° = (30 + 10)° = 40°

We know, the sum of measures of a tringle is equal 180°.

m∠A + m∠B + m∠C = 180°

m∠B = m∠C = 40°

<h3>Answer: ∠B = 40° and ∠C = 40°</h3>
8 0
3 years ago
In preparing a certain ointment, a pharmacist used 28.35 g of zinc oxide instead of the 31.1 g called for. Calculate the percent
Vilka [71]

Answer: 9.70%

Step-by-step explanation:

The formula to find the percentage error is given by :-

\%\text{ error}=\dfrac{|\text{Estimate-Actual}|}{\text{Actual}}\times100

Given : Actual mass of zinc oxide used by pharmacist = 28.35 g

Estimated mass of zinc oxide used by pharmacist =31.1 g

Now, \%\text{ error}=\dfrac{|31.1-28.35|}{28.35}\times100

i.e. \%\text{ error}=\dfrac{2.75}{28.35}\times100

i.e. \%\text{ error}=9.70017636684\approx9.70\%

Hence, the  percentage of error on the basis of the desired quantity.= 9.70%

5 0
3 years ago
K’L’M’N’ is a dilation image of KLMN. The center of the dilation is the origin.
grandymaker [24]
A enlargement
b 2
hope this helps! good luck!
6 0
3 years ago
Read 2 more answers
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