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Mazyrski [523]
3 years ago
9

Can you please help me out?

Mathematics
1 answer:
larisa86 [58]3 years ago
8 0

Answer:

- 3.5229

Step-by-step explanation:

Using the rules of logarithms

logx + logy = log(xy)

log_{10} 10^{n} = n

Given

log_{10} 3 ≈ 0.4771, then

log_{10} 0.0003

= log_{10} (3 × 10^{-4} )

= log_{10} 3 + log_{10} 10^{-4}

≈ 0.4771 - 4

≈ - 3.5229 ( to 4 dec. places )

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Natasha2012 [34]
The answer is 0 and 1.
4 0
3 years ago
To determine the number of seconds in x years. What calculations could you use (assume leap year(s) are not a factor)?
Dennis_Churaev [7]

Answer: 31536000X

Step-by-step explanation:

For one year: 365×24×60×60=31536000 seconds.

For x years will be: X×365×24×60×60=31536000X seconds.

6 0
3 years ago
Using Euler's relation, derive the following relationships:a. Cosθ=½(e^jθ+e^−jθ)b. Sinθ=½(e^jθ−e(^−jθ)
Montano1993 [528]

Answer:

a. cosθ = ¹/₂[e^jθ + e^(-jθ)] b. sinθ = ¹/₂[e^jθ - e^(-jθ)]

Step-by-step explanation:

a.We know that

e^jθ = cosθ + jsinθ and

e^(-jθ) = cosθ - jsinθ

Adding both equations, we have

e^jθ = cosθ + jsinθ

+

e^(-jθ) = cosθ - jsinθ

e^jθ + e^(-jθ) = cosθ + cosθ + jsinθ - jsinθ

Simplifying, we have

e^jθ + e^(-jθ) = 2cosθ

dividing through by 2 we have

cosθ = ¹/₂[e^jθ + e^(-jθ)]

b. We know that

e^jθ = cosθ + jsinθ and

e^(-jθ) = cosθ - jsinθ

Subtracting both equations, we have

e^jθ = cosθ + jsinθ

-

e^(-jθ) = cosθ - jsinθ

e^jθ + e^(-jθ) = cosθ - cosθ + jsinθ - (-jsinθ)

Simplifying, we have

e^jθ - e^(-jθ) = 2jsinθ

dividing through by 2 we have

sinθ = ¹/₂[e^jθ - e^(-jθ)]

4 0
3 years ago
three trigonometric functions for a given angle are shown below csc theta = 13/12, sec theta = -13/5, cot theta = -5/12 what are
goldenfox [79]
We have that
csc ∅=13/12
sec ∅=-13/5
cot ∅=-5/12

we know that
csc ∅=1/sin ∅
sin ∅=1/ csc ∅------> sin ∅=12/13

sec ∅=-13/5
sec ∅=1/cos ∅
cos ∅=1/sec ∅------> cos ∅=-5/13

sin ∅ is positive and cos ∅ is negative
so
∅ belong to the II quadrant

therefore
<span>the coordinates of point (x,y) on the terminal ray of angle theta are
</span>x=-5
y=12

the answer is
point (-5,12)

see the attached figure

6 0
3 years ago
Read 2 more answers
The shoes that Sofia wanted to buy at the mall were marked down from $30 to $24. What is the percentage of discount?
Nataliya [291]
30-24=6
6/30=1/5 aka 20%

The answer is 20%

Hope this helps.
8 0
3 years ago
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