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3 years ago

Barry Road his scooter for 24 minutes at a speed of 0.5 per minute how far did he go

1 answer:

7 0

Well, I'm not sure what units "0.5" apply to, but to find the distance he rode, you will need to multiply.

0.5 * 24 = 12.

Barry rode his scooter for a distance of 12 [insert units here].

Hope this helps! Have a great day :)

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Mr. Sharon can paper a room in 3hrs. His assistant needs 5hrs. If Mr. Sharon works 1hr and then his assistant completes the job

stealth61 [152]

4 hours? Sorry if it's wrong

hope I helped!!!

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3 years ago

Suppose Upper F Superscript prime Baseline left-parenthesis x right-parenthesis equals 3 x Superscript 2 Baseline plus 7 and Upp

Sedaia [141]

It looks like you're given

F'(x) = 3x² + 7

and

F (0) = 5

and you're asked to find F(b) for the values of b in the list {0, 0.1, 0.2, 0.5, 2.0}.

The first is done for you, F (0) = 5.

For the remaining b, you can solve for F(x) exactly by using the fundamental theorem of calculus:

$F(x)=F(0)+\displaystyle\int_0^x F'(t)\,\mathrm dt$

$F(x)=5+\displaystyle\int_0^x(3t^2+7)\,\mathrm dt$

$F(x)=5+(t^3+7t)\bigg|_0^x$

$F(x)=5+x^3+7x$

Then F (0.1) = 5.701, F (0.2) = 6.408, F (0.5) = 8.625, and F (2.0) = 27.

On the other hand, if you're expected to approximate F at the given b, you can use the linear approximation to F(x) around x = 0, which is

F(x) ≈ L(x) = F (0) + F' (0) (x - 0) = 5 + 7x

Then F (0) = 5, F (0.1) ≈ 5.7, F (0.2) ≈ 6.4, F (0.5) ≈ 8.5, and F (2.0) ≈ 19. Notice how the error gets larger the further away b gets from 0.

A better numerical method would be Euler's method. Given F'(x), we iteratively use the linear approximation at successive points to get closer approximations to the actual values of F(x).

Let y(x) = F(x). Starting with x₀ = 0 and y₀ = F(x₀) = 5, we have

x₁ = x₀ + 0.1 = 0.1

y₁ = y₀ + F'(x₀) (x₁ - x₀) = 5 + 7 (0.1 - 0) → F (0.1) ≈ 5.7

x₂ = x₁ + 0.1 = 0.2

y₂ = y₁ + F'(x₁) (x₂ - x₁) = 5.7 + 7.03 (0.2 - 0.1) → F (0.2) ≈ 6.403

x₃ = x₂ + 0.3 = 0.5

y₃ = y₂ + F'(x₂) (x₃ - x₂) = 6.403 + 7.12 (0.5 - 0.2) → F (0.5) ≈ 8.539

x₄ = x₃ + 1.5 = 2.0

y₄ = y₃ + F'(x₃) (x₄ - x₃) = 8.539 + 7.75 (2.0 - 0.5) → F (2.0) ≈ 20.164

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3 years ago

The first quartile of the data set below is

Ray Of Light [21]

Answer:

Step-by-step explanation:

When you put the numbers in order and then cut into 4 equal parts 28 is the first cut

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3 years ago

Emma was given a system of equations to solve by graphing. Which statement correctly identifies Emma’s error?

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Answer:

line one should have a y-intercept at (0,2).

Step-by-step explanation:

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3 years ago

This is a picture of a cube and the net for the cube.

Salsk061 [2.6K]

The answer is 1014. Look at my work...

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3 years ago