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n200080 [17]
4 years ago
9

Why having a parabola with it's points calibrated is important?​

Mathematics
1 answer:
Dominik [7]4 years ago
7 0

Answer:

Because the points can often represent something, i.e if you used quadratics to model say the area of something, calibrating the turning point, will give you the given length needed for the dimension of that, plus the maximum area those dimensions can yield.

Step-by-step explanation:

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A woman at a point A on the shore of a circular lake with radius r=4 wants to arrive at the point C diametrically opposite A on
levacccp [35]
Attached is a drawing to set up the problem, hopefully that helps. 
The red lines are tracing the rowing and walking to get to other side.
dR = distance rowed
dw = distance walked
x = the angle in which to start rowing initially 

dR can be found by using Law of cosines
dR = \sqrt{4^2 +4^2 - 2(4)(4) cos(180-2x)} = 4\sqrt{2}\sqrt{1-cos(180-2x)}
dw is arc length, which is just radius*arc
dW = 4*2x = 8x

next we need t set up a function for Time in terms of x.
This is so we can minimize the time it takes to get to other side.
Time = distance/rate

T = \frac{dR}{5} + \frac{dW}{10} = \frac{4 \sqrt{2}}{5} \sqrt{1-cos(180-2x)}+\frac{4}{5} x
Finally, take derivative and set equal to 0
Once you solve for x, plug it back into Time function to obtain final answer.

6 0
3 years ago
Given g(x)=-x-2g(x)=−x−2, find g(3)
maxonik [38]
Answer:
-3 - 6g = 1
explanation:
just substitute 3 for ever x in the problem
7 0
3 years ago
Anyone know the answer to: (h – k)(3)
Pie

Answer:

Step-by-step explanation:

(h-k)(3)= 3h-3k

8 0
3 years ago
A random sample of 12 second-year university students enrolled in a business statistics course wasdrawn. At the course's complet
Keith_Richards [23]

Answer: There is enough evidence to support the claim that the population mean of the students at this college is less than the recommended number of 8.4 hours.          

Step-by-step explanation:We are given the following in the question:  

Population mean, μ = 8.4 hours

Sample mean,  = 7.72 hours

Sample size, n = 237

Alpha, α = 0.01

Sample standard deviation, s = 1.02 hours

First, we design the null and the alternate hypothesis

We use one-tailed t test to perform this hypothesis.

Formula:

Putting all the values, we have

Now,

Since, the calculated test statistic is less than the critical value, we fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.

Conclusion:

Thus, there is enough evidence to support the claim that the population mean of the students at this college is less than the recommended number of 8.4 hour

3 0
3 years ago
Which of the following are quadrilaterals?
Olin [163]
Polygons are 2D shapes with straight sides. Quadrilaterals are polygons with four sides.

Trapezoids, rectangles, squares and parallelograms are all quadrilaterals as they have four sides.

Not all polygons are quadrilaterals.
6 0
3 years ago
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