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harina [27]
3 years ago
6

PLZ ANSWER WILL GIVE BRAINLIEST AND 5 STARS AND THANKS...THE PICTURE!!!!

Mathematics
1 answer:
VARVARA [1.3K]3 years ago
4 0
The constant rate of proportionality is 12!
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The theory that it is reasonable to chose the simpler theory when choosing between two competing theories of equal explanatory v
Vesnalui [34]

Answer:

Occam’s razor theory.

Step-by-step explanation:

This theory is known as Occam’s razor theory.

It's a theory based on the principle whereby we give precedence to simplicity. It states that out of two competing theories, the one with the simpler explanation of an object should be embraced over the other. The reason is that the philosopher William of Ockham said that "objects are not meant to be multiplied beyond absolute necessity.”

This definition resonates with what is explained in the question.

Thus, the theory is as explained.

6 0
3 years ago
What is the slope of the line that passes through the points (9, 2) and
vlada-n [284]

Answer:

Slope (m) = infinity

Step-by-step explanation:

Given points:

⇒ (9, 2) and (9, 27)

In order to find the <em>slope</em> of these points, we must use the <em>slope</em> formula.

So the formula is ⇒ y₂ - y₁ / x₂ - x₁

<em>Plug</em> in the<em> given </em>points:

⇒ 27 - 2 / 9 - 9

Solve both the top and bottom (<em>numerator and denominator</em>):

⇒ 25 / 0

Divide:

⇒<em> Undefined. </em>

(<em>Anything</em><em> </em>divided by <em>zero</em> is undefined).

4 0
2 years ago
Jacqueline is checking her bicycle’s wheel. The wheel has a radius of 20 cm, and its center is 51 cm above the ground. Jacquelin
Alex777 [14]

Answer:

h = 36.9 cm

Step-by-step explanation:

The function given to us is:

h(t) = 51 + 20 sin(225t)

Where h(t) is the function of the height in centimeters while t represents the time in seconds.

We have to find the height h(t) when the time is equal to 19 seconds.

Substitute t=19 into the given function

h(19) = 51 + 20 sin(225(19))

h(19) = 51 + 20 sin(4275)

h(19) = 51 + 20 (-0.7071)

h(19) = 51 + (-14,1421)

h(19) = 36.8579 cm

Rounding off to nearest 10th

h = 36.9 cm

6 0
4 years ago
Find the distance speed=72km/h time=45mins
butalik [34]

The distance is 54 km if the speed and time are 72 km/h and 45 minutes respectively.

<h3>What is distance?</h3>

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

We have:

Speed = 72 km/h

time = 45 mins = 45/60 = 0.75 hours

We know,

Distance = Speed×time

Distance = 72(km/h)×0.75(h)

Distance = 54 km

Thus, the distance is 54 km if the speed and time are 72 km/h and 45 minutes respectively.

Learn more about the distance here:

brainly.com/question/26711747

#SPJ1

8 0
2 years ago
A rock falls off a balcony. It's height (in feet) is given by the formula f(x)=-16t^2+13.4t+120, where t is measured in seconds.
pantera1 [17]

Answer:

  3.189 seconds

Step-by-step explanation:

You want f(t) = 0, so ...

  0 = -16t^2 +13.4t +120

  0 = t^2 -0.8375t -7.5 . . . . divide by -16

  0 = (t^2 -0.8375t +0.41875^2) -7.5 -0.41875^2 . . . . complete the square*

  0 = (t -0.41875)^2 -7.6753515625 . . . . write as a square

  √7.6753515625 = t -0.41875 . . . . . . . . add 7.67... and take positive root

  t = 0.41875 +√7.6753515625 ≈ 3.189192 . . . . add 0.41875

It will take the rock about 3.189 seconds to hit the ground.

_____

* We complete the square by adding the square of half the coefficient of the linear term (= (-0.8375/2)^2) inside parentheses and subtracting the same amount outside parentheses. This gives a form inside parentheses that is ...

  (t^2 -2at +a^2) = (t -a)^2

Completing the square is complicated a little bit by a leading coefficient that is not 1. That is why we divided by -16 first.

_____

<em>Comment on the question</em>

We note that the rock "falls" from the 120 foot high balcony by first traveling upward at a rate of 13.4 feet per second. We also note that the height function is written f(x), but uses t as the variable. That is, it should be f(t) = ...

8 0
3 years ago
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