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wolverine [178]
3 years ago
8

Your teacher ask you to find a recipe that includes two ingredients with a re-share the 1/2 cup and 1/8 cup

Mathematics
1 answer:
denis23 [38]3 years ago
5 0
The answer is 5/8 i think im right
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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
Abe spent $144.00 for four bags of grass seed. How much did he spend on each bag
EastWind [94]

Answer:

Abe spent 36 dollars on each bag

Step-by-step explanation:

divide 144 by 4 (because there are 4 bags in total, and he spent 144 dollars)

the answer will be 36

3 0
3 years ago
Read 2 more answers
suppose that the current canadian dollar to US dollar exchange rate is 0.80 CAD = $1 US and that the U.S. dollar price of an App
Deffense [45]

Answer: 256 CAD

Step-by-step explanation:

Hi, to answer this question we simply have to multiply the price in US dollars of the iphone (320) and multiply it by 0.80 ( Canadian dollar to US dollar exchange rate)

Mathematically speaking:

Since:

$1 US = 0.80 CAD  

$320 x0.80 = 256 CAD

Feel free to ask for more if needed or if you did not understand something.

7 0
3 years ago
A sphere has a surface area of about 999 square millimeters. What is the radius, in millimeters, of the sphere
motikmotik

Given that, a sphere has a surface area of about 999 square millimeters.

Formula to find the surface area of sphere is,

S= 4πr² Where r = radius of the sphere and S= surface area.

Given S= 999 square millimeters.

So, we can write:

4πr² = 999

4 * 3.14 * r² = 999 Since, π = 3.14

12.56 *r² = 999

r^2=\frac{999}{12.56} Divide each sides by 12.56.

r² = 79.53821656

r = √79.53821656 Taking square root to each sides of equation.

r = 8.918420071

So, r = 8.918 Rounded to nearest thousandth.

So, radius of the sphere is 8.918 millimeters.

Hope this helps you!

5 0
3 years ago
HELPPP
kupik [55]
Your answer is 10 pieces
3 0
3 years ago
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