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Travka [436]
3 years ago
15

the african bush elephant weighs between 4.4 tons and 7.7 tons.what are its least and greatest weights rounded to the nearest to

ns
Mathematics
1 answer:
ruslelena [56]3 years ago
4 0
The average would be from 4 tons to 8 tons.
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Let g be the function given by g(x)=limh→0sin(x h)−sinxh. What is the instantaneous rate of change of g with respect to x at x=π
lorasvet [3.4K]

The <em>instantaneous</em> rate of change of <em>g</em> with respect to <em>x</em> at <em>x = π/3</em> is <em>1/2</em>.

<h3>How to determine the instantaneous rate of change of a given function</h3>

The <em>instantaneous</em> rate of change at a given value of x can be found by concept of derivative, which is described below:

g(x) =  \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}

Where h is the <em>difference</em> rate.

In this question we must find an expression for the <em>instantaneous</em> rate of change of g if f(x) = \sin x and evaluate the resulting expression for x = \frac{\pi}{3}. Then, we have the following procedure below:

g(x) =  \lim_{h \to 0} \frac{\sin (x+h)-\sin x}{h}

g(x) =  \lim_{h \to 0} \frac{\sin x\cdot \cos h +\sin h\cdot \cos x -\sin x}{h}

g(x) =  \lim_{h \to 0} \frac{\sin h}{h}\cdot  \lim_{h \to 0} \cos x

g(x) = \cos x

Now we evaluate g(x) for x = \frac{\pi}{3}:

g\left(\frac{\pi}{3} \right) = \cos \frac{\pi}{3} = \frac{1}{2}

The <em>instantaneous</em> rate of change of <em>g</em> with respect to <em>x</em> at <em>x = π/3</em> is <em>1/2</em>. \blacksquare

To learn more on rates of change, we kindly invite to check this verified question: brainly.com/question/11606037

4 0
2 years ago
What is the area of a triangle with a base of 27 mm and a height of 10 mm?
nexus9112 [7]

Answer:

area of triangle = 135 mm²

Step-by-step explanation:

Area of a triangle = 1/2 × b × h

Area of a triangle = 1/2 × 27 × 10

Area of a triangle = 135 mm²

5 0
3 years ago
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If three bakers can prepare 15
Molodets [167]

Answer:

45 cakes/3 hours

Step-by-step explanation:

15 cakes/1 hour = x cakes = 3 hours (multiply by 3)

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3 years ago
13 times what gives you234
vampirchik [111]
You have to divide 234 by 13

the answer is 18
7 0
3 years ago
Division of Labor:
ki77a [65]

Answer:

16

Step-by-step explanation:

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