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Amiraneli [1.4K]
2 years ago
5

Show and explain how you found the answer to this problem. Marion read 616 pages in 14 days. If she read the same number of page

s each day, how many pages did she read each day?
Mathematics
1 answer:
Pepsi [2]2 years ago
7 0

Based on the number of pages read and the time it was read in, the number of pages read per day was <u>44 pages. </u>

Marion read 616 pages and did this in 14 days.

She read the same number of pages each day so the number of pages read per day was:

<em>= Number of pages read in total / Number of days </em>

= 616 / 14

= 44 pages

In conclusion, she read 44 pages per day.

Find out more about divisional problems at brainly.com/question/13417862.

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Use Euler's method with each of the following step sizes to estimate the value of y(0.4), where y is the solution of the initial
sergey [27]

Answer:

h=0.4--> 15

h=0.2 --> 14.06

h=0.1 --> 13.71

Step-by-step explanation:

This is a numerical solution using Euler's method. Euler's method enables us to numerically approch a solution with a suitable  step size. As the step size gets smaller, the approximation will be more accurate. Euler's method is as the following.

y_{i+1}=y_{i}+h*y_{first derivation}

Here, h is the step size. The reason why first derivation used here is to make an appriximation with using the rate of increase or decrease. As the step size is smaller, the icreases or decreases are followed more accurately. Now, let's solve the question:

for h= 0.4:

y(0.4)=y(0)+0.4*y'

The trick here is y' is equal to y, thus we can write that y'=y(0.4) and our starting point y(0) is given as 9 in the question and the equation becomes:

y(0.4)=9+0.4*y(0.4) and this is easy to solve.By replacing y(0.4) functions to be at the same side of the equation, we get:

0.6*y(0.4)=9 and by solving this equation, y(0.4) is found to be 15.

for h=0.2:

This will be similar to the previous question, but since the step size is 0.2, we will first calculate y(0.2) and then y(0.4).

y(0.2)=y(0)+0.2*y(0.2) and y(0) is 9.

0.8*y(0.2)=9 and y(0.2)=11.25. Now, we will replace this value into the next iteration o the formula istead of y(0). The equation is like:

y(0.4)=y(0.2)+0.2*y(0.4) and y(0.4) is found to be 14.06.

for h=0.1:

This is also similar to the above solutions but will be longer and have 4 iterations.

first iteration: y(0.1)=9+0.1*y(0.1) --> y(0.1)=10

second iteration: y(0.2)=y(0.1)+0.1*y(0.2) --> y(0.2)=11.11

third iteration: y(0.3)=y(0.2)+0.1*y(0.3) --> y(0.3)=12.34

fourth iteration: y(0.4)=y(0.3)+0.1*y(0.4) --> y(0.4)=13.71

As the step size gets smaller, the answer also gets smaller and more accurate. With even smaller step sizes, there will be a better approximation. However, in case you have more complex equations or smaller step sizes, it is recommended to use a computer software to make an approximation.

6 0
3 years ago
Needing help with getting the slope
bixtya [17]

Answer:

The answer is 2/5

Step-by-step explanation:

I found 2 points and did y2-y1/ x2-x1 and got 2/5. And then I tested it and it worked.

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3 years ago
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There are some oranges in a box. The total weight of these oranges is 4.29 kg. The
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Answer:

There are 44 oranges in the box

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4.29 kg = 4290 g

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3 0
3 years ago
What is the value of x in this triangle?
gizmo_the_mogwai [7]

Answer:

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Step-by-step explanation:

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Luden [163]

Answer:

\huge\boxed{(2x+8)(x-3)=2x^2+2x-24}

Step-by-step explanation:

\text{Use FOIL:}\ (a+b)(c+d)=ac+ad+bc+bd\\\\(2x+8)(x-3)=(2x)(x)+(2x)(-3)+(8)(x)+(8)(-3)\\\\=2x^2-6x+8x-24\qquad\text{combine like terms}\\\\=2x^2+(-6x+8x)-24\\\\=2x^2+2x-24

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