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RoseWind [281]
3 years ago
5

Juan has already run 6 miles this month. He plans to run an additional 3 miles each day.

Mathematics
2 answers:
Ksivusya [100]3 years ago
7 0

Answer:

3x + 6 = 45

Step-by-step explanation:

mart [117]3 years ago
7 0

Answer: 14 days

Step-by-step explanation:

2.5x +6 =41\\          -6     -6\\2.5x = 41\\\\\\2.5\\x=14

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Use Newton’s method to approximate the indicated root of the equation correct to six decimal places. The positive root of 3 sin
MAXImum [283]

Answer:

x \approx 2.278863

Step-by-step explanation:

Required

The positive root of 3\sin(x) = x

Equate to 0

0 = x -3\sin(x)

So, we have our function to be:

h(x) = x -3\sin(x)

Differentiate the above function:

h'(x) = 1 -3\cos(x)

Using Newton's method of approximation, we have:

x_{n+1} = x_n - \frac{h(x_n)}{h'(x_n)}

Plot the graph of h(x) = x -3\sin(x) to get x_1 --- see attachment for graph

From the attached graph, the first value of x is at 2.2; so:

x_1 = 2.2

So, we have:

x_{n+1} = x_n - \frac{h(x_n)}{h'(x_n)}

x_{1+1} = x_1 - \frac{h(x_1)}{h'(x_1)}

x_{2} = 2.2 - \frac{2.2 -3\sin(2.2)}{1 -3\cos(2.2)} = 2.28153641

The process will be repeated until the digit in the 6th decimal place remains unchanged

x_{3} = 2.28153641 - \frac{2.28153641 -3\sin(2.28153641)}{1 -3\cos(2.28153641)} = 2.2788654

x_{4} = 2.2788654 - \frac{2.2788654 -3\sin(2.2788654)}{1 -3\cos(2.2788654)} = 2.2788627

x_{5} = 2.2788627 - \frac{2.2788627-3\sin(2.2788627)}{1 -3\cos(2.2788627)} = 2.2788627

Hence:

x \approx 2.278863

4 0
2 years ago
Car is moving on a circle on a plane. At time t (seconds), its x-coordinate is given by x(t) = 10 sin(200t + 3) + 30 while its y
Aleks [24]

Answer:

we have centre of circle as (30,40) and radius = 1

Step-by-step explanation:

Given that a car is moving on a circle on a plane.

At time t (seconds),

x(t) = 10 sin(200t + 3) + 30

and

y(t) = 10 cos(200t + 3) + 40

x-30 = 10 sin(200t + 3) \\y-40 = 10 cos(200t + 3) + 40

when we square and add both the equations we get

(x-30)^2 + (y-40)^2 = 1

(since sin square + cos square = 1 always)

i.e. we have centre of circle as (30,40) and radius = 1

3 0
3 years ago
Help Plz Will Upvote
kykrilka [37]
Not the best handwriting but I hope it helped!

4 0
2 years ago
Read 2 more answers
For a science experiment, Ashley removes a cold liquid from a refrigerator and measures its temperature every
zhuklara [117]

Answer:

why are the number wierd i do it but idk the temp for the second one

Step-by-step explanation:

8 0
3 years ago
when the intreast earned is $27, the intreast rate is 1.5%, and the time is 2 years, what is the principal
Nikolay [14]

Answer:

27

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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