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ankoles [38]
3 years ago
13

Standard Expanded Written 6000 + 900 + 10 + 5

Mathematics
1 answer:
lana [24]3 years ago
7 0

Answer: This is written in Expanded form.

Step-by-step explanation: The number is 6,915, to write a number in expanded form, write it's place values by the number it's in.

Ex: Expanded form of 5,731: 5,000 + 700 + 30 + 1

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Tom took four seconds to run 6 yards Diane ran 5 yards in three seconds if they continue to run at the same speed who were to ge
tatiyna

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Diane

Step-by-step explanation:

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4 years ago
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Use Euler's method with step size 0.2 to estimate y(1), where y(x) is the solution of the initial-value problem y' = x2y − 1 2 y
GuDViN [60]

Answer:

Euler's method is a numerical method used in calculus to approximate a particular solution of a differential equation. As a numerical method, we have to apply the same procedure many times, until get the desired result.

In first place, we need to know all the values the problem is giving:

  • The step size is 0.2; h = 0.2. This step size is a periodical increase of the x-variable, which will allow us to calculate each y-value to each x.
  • The problem is asking the solution y(1), which means that we have to find the y-value assigned for x = 1, through the numerical method.
  • The initial condition is y(0) = 9. In other words, x_{o} = 0\\y_{0}=9.

So, if the initial x-value is 0, and the step size is 0.2, the following x-value would be: x_{1}=0.2; then x_{2}=0.4; x_{3} =0.6; x_{4} =0.8;x_{5} =1; and so on.

Now, we have to apply the formula to find each y-value until get the match of x_{5}=1, because the problem asks the solution y(1).

According to the Euler's method:

y_{1} =y_{0} +hF(x_{0};y_{0})\\y_{2} =y_{1} +hF(x_{1};y_{1})\\y_{n} =y_{n-1} +hF(x_{n-1};y_{n-1})

Where F(x;y)=x^{2} y-12y^{2}, and x_{0} =0; y_{0} =9; h=0.2.

Replacing all values we calculate the y-value assigned to x_{1}:

y_{1} =9+0.2((0)^{2} 9-12(9)^{2})=-185.4.

Now, y_{1} =-185.4, x_{1} =0.2; h=0.2. We repeat the process with the new values:

y_{2} =y_{1} +hF(x_{1};y_{1})  \\y_{2} = -185.4+0.2((0.2)^{2} (-185.4)-12(-185.4)^{2} )\\y_{2}=-82682.47

Then, we repeat the same process until get the y-value for x_{5} =1, which is y_{5} = -1.0018, round to four decimal places.

Therefore, y(1)=-1.0018.

7 0
3 years ago
I’ll mark you brainlist I’ll mark you brainlist
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Answer:

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Slope of the line =3\2

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In the diagram ABC is congruent to DEF. aging the values of x and y
kipiarov [429]

Answer:

x = 1, y = 46

Step-by-step explanation:

Since the triangles are congruent then corresponding sides and angles are congruent, then

DE = AB , that is

3x + 6 = 9 ( subtract 6 from both sides )

3x = 3 ( divide both sides by 3 )

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and

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10x + y = 56 ( substitute x = 1 )

10(1) + y = 56

10 + y = 56 ( subtract 10 from both sides )

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7 1/5 - (-4/5) <br><br>this is adding and subtracting rationals​
tia_tia [17]
8, because the two minuses add up and turn into positive and 1/5 adds to 4/5 and turns into a whole 1 and adds 7 equal 8
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3 years ago
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