Imagine, at the first day you have only one penny. Then tomorrow you have 2 pennies, next day you have 4 (2x2), next day you have 8 (4x2), next day you have 16 (8x2).... and so forth.
It looks like geometric sequence isn't it? (the ratio between the number of pennies that you have from the 2nd day and the 1st day is 2)
So, by using geometric sequence theorem we can total those pennies until day-27
S (total pennies at day-27) = (1)(2^27-1) / 2-1 = 2^26 pennies
So, you have 2^26 pennies.. a big number of pennies huh?=))
{The formula is: S = a( r^n-1) / r-1
Where:
a= the number of pennies that you've got at the 1st day
n= number of days you spent to collect those pennies)
r= the ratio of the number of pennies}
Use the law of Cosines where
angle A = 14+22=36 degrees
side b = 6 times 7
side c = 6 times 19
So you have a triangle with 2 legs of 42 and 114 with angle A = 36 degrees between them.
The law of Cosines is then
a^2 = 42^2 + 114^2 - 2(42)(114)Cosine(36)
Solve and take the square root.
= 7012.85 taking the square root of it
= 83.74 km apart
Answer:
<u>(3); (-1/2); (-4)</u>
Step-by-step explanation:
First, you should convert the equation into cubic form.
r(x)=(x^2+x−12)(2x+1)
<u>2x^3 +3
x^2
− 23x− 12=0</u>
Next, use the rational roots test to find the first root.
<u>(-1/2) </u>
Using the factor theorem you can find the other roots.
<u>(3)</u> <u>(-4)</u>
D) the x intercept as you let each bracket equal to 0 to find the x coordinate
