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3 years ago

Convert 21/4 into a mixed number

Mathematics

2 answers:

nlexa [21]3 years ago

8 0

5(1/4). Divide 21 by 4 and write the answer by writing the integer and next to it write the remainder over the divisor.

notka56 [123]3 years ago

4 0

Answer:

5 and 1/4

Step-by-step explanation:

5 and 1/4

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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

irina [24]

Answer:

Therefore the value of y(1)= 0.9152.

Step-by-step explanation:

According to the Euler's method

y(x+h)≈ y(x) + hy'(x) ....(1)

Given that y(0) =3 and step size (h) = 0.2.

$y'(x)= x^2y(x)-\frac12y^2(x)$

Putting the value of y'(x) in equation (1)

$y(x+h)\approx y(x) +h(x^2y(x)-\frac12y^2(x))$

Substituting x =0 and h= 0.2

$y(0+0.2)\approx y(0)+0.2[0\times y(0)-\frac12 (y(0))^2]$

$\Rightarrow y(0.2)\approx 3+0.2[-\frac12 \times3]$ [∵ y(0) =3 ]

$\Rightarrow y(0.2)\approx 2.7$

Substituting x =0.2 and h= 0.2

$y(0.2+0.2)\approx y(0.2)+0.2[(0.2)^2\times y(0.2)-\frac12 (y(0.2))^2]$

$\Rightarrow y(0.4)\approx 2.7+0.2[(0.2)^2\times 2.7- \frac12(2.7)^2]$

$\Rightarrow y(0.4)\approx 1.9926$

Substituting x =0.4 and h= 0.2

$y(0.4+0.2)\approx y(0.4)+0.2[(0.4)^2\times y(0.4)-\frac12 (y(0.4))^2]$

$\Rightarrow y(0.6)\approx 1.9926+0.2[(0.4)^2\times 1.9926- \frac12(1.9926)^2]$

$\Rightarrow y(0.6)\approx 1.6593$

Substituting x =0.6 and h= 0.2

$y(0.6+0.2)\approx y(0.6)+0.2[(0.6)^2\times y(0.6)-\frac12 (y(0.6))^2]$

$\Rightarrow y(0.8)\approx 1.6593+0.2[(0.6)^2\times 1.6593- \frac12(1.6593)^2]$

$\Rightarrow y(0.6)\approx 0.8800$

Substituting x =0.8 and h= 0.2

$y(0.8+0.2)\approx y(0.8)+0.2[(0.8)^2\times y(0.8)-\frac12 (y(0.8))^2]$

$\Rightarrow y(1.0)\approx 0.8800+0.2[(0.8)^2\times 0.8800- \frac12(0.8800)^2]$

$\Rightarrow y(1.0)\approx 0.9152$

Therefore the value of y(1)= 0.9152.

4 0

3 years ago

42 is 9 more than 3 times a number. what is the number?

yuradex [85]

Equation: 3x+9=42

3x=42-9=33

<span>Answer: x=33/3=11

Hope this helps!!
</span>

3 0

2 years ago

Read 2 more answers

If you had a mass of 50 kg on Earth what is your weight in Newtons

PilotLPTM [1.2K]

50 x 9.8 = 490 newtons

5 0

2 years ago

I am confused about how to explain this: Explain the difference in meaning between |-3| and -3.

Ivahew [28]

Answer:

Step-by-step explanation:

|-3| means the absolute value of -3. The absolute value sign means the number without its negative. The dictionary says: the magnitude of a real number without regard to its sign.

So |-3|= 3 and -3= -3

7 0

2 years ago

Mr. Drysdale earned 906.25 in interest in one year on money that he had deposited in

VikaD [51]

Answer: Mr Drysdale deposited 14,500

Step-by-step explanation:

Using the simple Interest formula

Simple Interest = Principal(Initial Money) * Interest Rate * Time Period

I = P*R*T

I = PRT

To get P which is the initial money he deposited, we divide both sides by RT

I/RT = PRT/RT

I/RT = P

Therefore the money deposited

P = I/RT

Interest (I)= 906.25

Interest Rate (R)= 6.25% = { converting percentage to decimal} (6.25/100)= 0.0625

Time Period (T) = 1 year

Principal (P)= ?

P= I/RT

P= 906.25/(0.0625 * 1)

P= 906.25/0.0625

P= 1450

The money he deposited in his local bank is 14,500

5 0

3 years ago