Answer: Option C: 0.03125
Step-by-step explanation:
we have an exponential equation, so we have:
f(x) = A*r^x
we have that:
f(1) = A*r^1 = A*r = 0.5
f(2) = A*r^2 = 0.25
f(3) = A*r^3 = 0.125
f(4) = A*r^4 = 0.0625
f(5) = A*r^5 = ?
we want to find the value f(5)
first, let's take the quotient:
f(2)/f(1) = (A*r^2)/(A*r) = r = 0.25/0.5 = 0.5.
then we have:
f(x) = A*0.5^x
and f(1) = A*0.5 = 0.5
then A = 0.5/0.5 = 1.
now we know that our function is f(x) = 0.5^x.
then, if we want to find f(5) we have:
f(5) = 0.5^5 = 0.03125
Then the correct option is option c.
<span>-10=xy+z
-10 - z = xy Divide both sides by y
(-10 -z) / y = x
x = -(z+10)/y
</span>
x = 3 + y Eqn(1)
y = -2x + 9 Eqn(2)
Let us solve the system of equations with the substitution method
x - 3 = y (Subtracting 3 from both sides of the Eqn(1))
Replacing y = x - 3 in Eqn (2), we have:
x - 3 = -2x + 9
x = -2x + 9 + 3 (Adding 3 to both sides of the equation)
x + 2x = 9 + 3 (Adding 2x to both sides of the equation)
3x = 12 ( Adding like terms)
x = 12/3 (Dividing by 3 on both sides of the equation)
x = 4
Replacing x=4 in Eqn(1), we have:
4 = 3 + y
4 - 3 = y (Subtracting 3 from both sides of the equation)
y=1
The answers are:
x= 4 and y=1
To look for the area of a sector of a circle, the following formula is used:
Area = ( n / 360 ) * pi * r^2
Where: n = measure of arc in degrees
pi = 3.1416
r = radius
Since we are already given all of the needed parts of the formula, direct substitution is done, as shown below:
Area = ( n / 360 <span>) * pi * r^2
</span>Area = ( 45 / 360 ) *3.1416 * (8)^2
Area = 25.133 in^2
Therefore, the area of the sector of the circle is 25.133 sq. in.
Answer:
0.24 = 24 hundredths, not 24
Step-by-step explanation:
