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gayaneshka [121]
3 years ago
9

The inverse variation equation shows the relationship between wavelength in meters, x, and frequency, y.

Mathematics
1 answer:
wolverine [178]3 years ago
7 0

Answer:

\lambda=10^{-10}\ m

Step-by-step explanation:

Given that,

The frequency of x-rays, f=3\times 10^{18}\ Hz

We need to find the wavelength for x-rays. The relation between wavelength, frequency and speed of light is given by :

v=f\lambda\\\\\lambda=\dfrac{c}{f}\\\\\lambda=\dfrac{3\times 10^{8}}{3\times 10^{18}}\\\\=10^{-10}\ m

So, the wavelength for x-rays is 10^{-10}\ m.

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Jessica invests​ $250 each quarter in an ordinary annuity with a​ 5% interest rate compounded quarterly. Determine the accumulat
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Answer:

Step-by-step explanation:

Usimg formula for calculating compound interest.

A = P(1+r/n)^nt

P is the principal =$250

r is the rate = 5%

t is the time = 25years

n = 1/4(compounded quarterly)

Substituting to get the amount A.

A = 250(1+5/25)^25/4

A = 250(1+0.2)^6.25

A = 250(1.2)^6.25

A = 250(3.125)

A = $781.31

Hence the accumulated amount in​ Jessica's annuity after 25 years is $781.31

4 0
3 years ago
Sandy went to 20 baseball games this year. She went to 26 last year. How many baseball games did Sandy go to in total?
ale4655 [162]

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46

Step-by-step explanation:

5 0
3 years ago
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What is the solution to the trigonometric inequality 2sin(x)+3>sin^2(x) over the interval 0<=x<=2pi radians?
densk [106]

Answer:

A 2-column table with 6 rows. Column 1 is labeled x with entries 1.99, 1.999, 1.9999, 2.0001, 2.001, 2.01. Column 2 is labeled f (x) with entries 0.505, negative 0.827, 0.306, negative 0.306, 0.827, negative 0.506.

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Step-by-step explanation:

5 0
3 years ago
Solve for x geometry
AVprozaik [17]

Answer:

Step-by-step explanation:

Take the natural logarithm of both sides of the equation to remove the variable from the exponent.

ln

(

6

x

)

=

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66

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6

x

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x

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6

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6

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and simplify.

Tap for more steps...

x

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Decimal Form:

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4 0
3 years ago
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Simplify:(2x+y-z)^2-(2x+y+z)^2
storchak [24]

Q: "Simplify the following expression (2x+y-z)^2-(2x+y+z)^2"  

As a simplified expression is  

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Hopefully this helps you ^0^

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