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3 years ago

Write 4060 in expanded form then write it in words

Mathematics

2 answers:

vova2212 [387]3 years ago

7 0

The correct answer for this questions is 4,000+60

ValentinkaMS [17]3 years ago

4 0

The expanded form of 4060 is 4000 + 60, as there is no hundreds or single digits. Written out, it is four thousand and sixty. Hope this helps

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Verify by direct substitution that the given power series is a solution of the indicated differential equation. [Hint: For a pow

shepuryov [24]

Answer:

The given power series $y =\sum^{\infty}_{n=0} {(-1)^n x^{2n}}$ is a solution of the differential equation (1+x^2)y' + 2xy = 0

Step-by-step explanation:

This is a very trivial exercise, follow the steps below for the solution:

Step 1: Since n = 0, 1, 2, 3, 4, ........, Substitute the values of n into equation (1) below.

$y =\sum^{\infty}_{n=0} {(-1)^n x^{2n}}$ .....................(1)

$y = 1 - x^2 + x^4 - x^6 + x^8.........$

Step 2: Find the derivative of y, i.e. y'

$y' = -2x + 4x^3 - 6x^5 + 8x^7 .............$

Step 3: Substitute y and y' into equation (2) below:

$(1+x^2)y' + 2xy = 0\\\\(1+x^2)(-2x + 4x^3 - 6x^5 + 8x^7......) + 2x(1 - x^2 + x^4 - x^6 + x^8.......) = 0\\\\-2x+ 4x^3 - 6x^5 + 8x^7........ - 2x^3 +4x^5 - 6x^7 + 8x^9 ......+ 2x - 2x^3 + 2x^5 - 2x^7 + 2x^9...... = 0\\\\0 = 0$

(Verified)

Since the LHS = RHS = 0, the given power series $y =\sum^{\infty}_{n=0} {(-1)^n x^{2n}}$ is a solution of the differential equation (1+x^2)y' + 2xy = 0

6 0

2 years ago

A shadow 16 meters long is cast by a utility pole that is 12 meters tall. What is the length of

Harlamova29_29 [7]

Answer:

Step-by-step explanation:

6 0

2 years ago

Mr. Jansen opened a savings account with an initial deposit of $720 and will not make any additional deposits or withdrawals. Th

konstantin123 [22]

Answer:

a $741.60

Step-by-step explanation:

720 × 1.03( add the one on so we can make it a one step problem) = 741.6, meaning, the answer is a $741.60

3 0

2 years ago

Read 2 more answers

5. The area of the trapezoid is 75 square inches. Find the height of the trapezoid. And it’s two bases are 10 and 15.

Sphinxa [80]

Answer:

The answer is 6

Step-by-step explanation:

A=½(b1 + b2) h

we substitute

Area=75

the two bases are 10 and 15

75=½(10+15) h

75=½(25)h

75=(1*25/2)h

75= 25h/2

75/1= 25h/2

25h*1= 75*2

25h= 150

we divide by 25

25h/25= 150/25

h=6

4 0

2 years ago

Neeeddd helppppp now !

MariettaO [177]

Answer:

C. a=12ft, b=12ft

Step-by-step explanation:

This is a 45*-45*-90* triangle

"a" and "b" are the same

and the hypotenuse (which is 12 square roots of 2) is square root of 2 times as long as each leg.

so the answer must be:

<u><em>a = 12ft, b = 12ft</em></u>

4 0

2 years ago