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2 years ago

Convert 12,000+7*10^(4) to scientific notation

Mathematics

1 answer:

Nostrana [21]2 years ago

5 0

Answer:

Step-by-step explanation:

Enter numbers or scientific notation.

For scientific notation, use a carat ^ for the powers of 10 or use e notation.

Scientific Notation: 3.45 x 10^5

E Notation: 3.45e5

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Mr. Johnston spends 2/3 of every year in Florida how many months does he spend in Florida each year

musickatia [10]

Answer:

8 months

Step-by-step explanation:

12/3 = 4, 1/3 is 4 so 1/3 + 1/3 = 2/3 or 8

6 0

2 years ago

Find a particular solution to the nonhomogeneous differential equation y??+4y?+5y=?10x+e^(?x).

Firdavs [7]

Answer:

A) Particular solution:

$2x+\frac{1}{2}e^{-x}-\frac{8}{5}$

B) Homogeneous solution:

$y_{h}=e^{-2x}(c_{1}cos(x)+c_{2}sin(x))$

C) The most general solution is

$y=e^{-2x}(c_{1}cos(x)+c_{2}sin(x))+2x+\frac{1}{2}e^{-x}-\frac{8}{5}$

Step-by-step explanation:

Given non homogeneous ODE is

$y''+4y'+5y=10x+e^{-x}---(1)$

To find homogeneous solution:

$D^{2}+4D+5=0\\D^{2}+4D+4-4+5=0\\\\(D+2)^{2}=-1\\D+2=\pm iD=-2 \pm i\\y_{h}=e^{-2x}(c_{1}cos(x)+c_{2}sin(x))---(2)$

To find particular solution:

$y_{p}=Ax+B+Ce^{-x}\\\\y'_{p}=A-Ce^{-x}\\y''_{p}=Ce^{-x}\\$

Substituting $y_{p},y'_{p},y''_{p}$ in (1)

$y''_{p}+4y'_{p}+5y_{p}=10x+e^{-x}\\Ce^{-x}+4(A-Ce^{-x})+5(Ax+B+Ce^{-x})=10x+e^{-x}\\$

Equating the coefficients

$5Ax+2Ce^{-x}+4A+5B=10x+e^{-x}\\5A=10\\A=2\\4A+5B=0\\B=-\frac{4A}{5}B=-\frac{8}{5}2C=1\\C=\frac{1}{2}\\So,\\y_{p}=2x+\frac{1}{2}e^{-x}-\frac{8}{5}---(3)\\$

The general solution is

$y=y_{h}+y_{p}$

from (2) ad (3)

$y=e^{-2x}(c_{1}cos(x)+c_{2}sin(x))+2x+\frac{1}{2}e^{-x}-\frac{8}{5}$

6 0

2 years ago

Order of Operations with and without variables

lyudmila [28]

I think the answer is -4

6 0

3 years ago

Which expression gives the distance between the points

Alla [95]

Answer:

Step-by-step explanation:

The formula for finding the distance between 2 points (x1, y1) and (x2, y2) is

d = √[(x2 - x1)² + (y2 - y1)²]

Here (x2, y2) = (2, 3) and (x1, y1) = (4, -3)

Plugging them gives us

d = √[(2 - 4)² + (3 - (-3))²]

d = √[(2 - 4)² + (3 + 3)²]

8 0

2 years ago

What is the surface area for this design?

Umnica [9.8K]

Answer:

Surface Area = 157 in^2

Step-by-step explanation:

Surface area is the area of each side added together.

Front = Trapezoid = b1 + b2 * h 5 + 9 * 5 = 27.5

2 2

Back = Trapezoid = b1 + b2 * h 5 + 9 * 5 = 27.5 27.5

2 2 27.5

Right = Rectangle = l * w 6.4 * 5 = 32 32

Left = Rectangle = l * w 5 * 5 = 25 25

Bottom = Rectangle = l * w 9 * 5 = 45 45

Top = Rectangle = l * w 5 * 5 = 25 25

157 in^2

8 0

3 years ago