Answer:
A. 
Step-by-step explanation:
We have the expression
![log_{3} (\sqrt[5]{x} *y)](https://tex.z-dn.net/?f=log_%7B3%7D%20%28%5Csqrt%5B5%5D%7Bx%7D%20%2Ay%29)
As these two values are being multiplied, we can separate the two and the sum of them will be equal to the multiplied version
![log_{3}\sqrt[5]{x} +log_{3}y](https://tex.z-dn.net/?f=log_%7B3%7D%5Csqrt%5B5%5D%7Bx%7D%20%2Blog_%7B3%7Dy)
The ![\sqrt[5]{x}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7Bx%7D)
can be rewritten as 
. This allows us to use the exponent rule. This means that it can be written as
The solution to the problem is as follows:
sin(10 deg) = 300/DF
<span>
DF = 300/sin(10 deg) = 1727.63 meters
</span>
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
Answer:
$554.58
Step-by-step explanation:
The interest on the loan can be computed by first determining the future value of the loan in three years as follows:
FV=PV*(1+r)^n
PV is the amount of the loan which is $2,000
r is the interest rate which is 8.5%
n is the number of years which is 3 years
FV=$2000*(1+8.5%)^3=$ 2,554.58
Since the value of the loan in three years is $ 2,554.58 ,the interest on the loan is the difference between the future value and the present value
interest=$ 2,554.58-$2,000.00=$554.58
Answer:
3(- 6 + m)(- 4 + m)
Step-by-step explanation:
Given
72 - 30m + 3m² ← factor out 3 from each term
= 3(24 - 10m + m²)
To factor the quadratic
Consider the factors of the constant term ( + 24) which sum to give the coefficient of the x- term (- 10)
The factors are - 6 and - 4, since
- 6 × - 4 = 24 and - 6 - 4 = - 10, hence
24 - 10m + m² = (- 6 + m)(- 4 + m) and
72 - 30m + 3m² = 3(- 6 + m)(- 4 + m) ← in factored form
The sequence multiplies by 1/3.
Using the formula for a geometric sequence:
a(n) = a(1) * r^(n-1)
So...
a(n) = 648 * (1/3)^(n-1)
Plugging in 8 for n produces:
a(n) = 648 * (1/3)^(7)
Using a calculator, I find the answer to be 0.296296296...
