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3 years ago

Milo walks 40 meters in 15 seconds.Mira walks 30 meters in 10 seconds. Whose walking rate are greater?and why

Mathematics

1 answer:

Musya8 [376]3 years ago

4 0

Mira is the answer mira did

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The graph below represents the distance of a dog from a trainer after a command is given.

GuDViN [60]

Answer:

Step-by-step explanation:

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3 years ago

Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = e−4x, [0, 2] Yes, it does not m

Zigmanuir [339]

Answer:

(a) Yes, it does not matter if f is continuous or differentiable; every function satisfies the Mean Value Theorem.

(b) $c =0.51995$

Step-by-step explanation:

Given

$f(x) = e^{-4x};\ [0,2]$

Solving (a); Does the function satisfy M.V.T on the given interval

We have:

$f(x) = e^{-4x};\ [0,2]$

The above function is an exponential function, and it is differentiable and continuous everywhere

Solving (b): The value of c

To do this, we use:

$f'(c) = \frac{f(b) - f(a)}{b - a}$

In this case:

$[a,b] = [0,2]$

So, we have:

$f'(c) = \frac{f(2) - f(0)}{2 - 0}$

$f'(c) = \frac{f(2) - f(0)}{2}$

Calculate f(2) and f(0)

$f(x) = e^{-4x}$

So:

$f(2) = e^{-4*2} = e^{-8} = 0.00033546262$

$f(0) = e^{-4*0} = e^{0} = 1$

This gives:

$f'(c) = \frac{0.00033546262 - 1}{2}$

$f'(c) = \frac{-0.99966453738}{2}$

$f'(c) = -0.4998$

Note that:

$f'(x) = (e^{-4x})'$

$f'(x) = -4e^{-4x}$

This implies that:

$f'(c) = -4e^{-4c}$

So, we have:

$f'(c) = -0.4998$

$-4e^{-4c} =-0.4998$

Divide both sides by -4

$e^{-4c} =\frac{-0.4998}{-4}$

$e^{-4c} =0.12495$

Take natural logarithm of both sides

$\ln(e^{-4c}) =\ln(0.12495)$

$\ln(e^{-4c}) =-2.0798$

Apply law of natural logarithm

$\ln(e^{ax}) =ax$

So:

$-4c =-2.0798$

Solve for c

$c =\frac{-2.0798}{-4}$

$c =0.51995$

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3 years ago

A sign is hammered into a tree 2m from the trees base. if the tree is 10m tall and elongates 1m each year, how high will the sig

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12m ?.......................

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3 years ago

Y= x-8<br> y= 8 +x<br> What is the solution

tresset_1 [31]

Answer:

x-8=8-x

x=8

y=8-8

y=0

Step-by-step explanation:

y=0

x=8

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3 years ago

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The cost of buying a small piece of land in a remote village since the year 1990 is represented by the following table . Which m

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Answer:

C(t)=30+3.5t

Step-by-step explanation:

Yeah this is the answer

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3 years ago

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