Answer:625
625 in delta math
Step-by-step explanation:
You start by looking at what number can divide evenly into both 16 and 48. Both numbers are divisible by 16. 16 goes into 16 once and 16 goes into 48 three times. So you divide each term by 16 and your expression should look like this: 16 (p+3)
De Moivre's theorem uses this general formula z = r(cos α + i<span> sin α) that is where we can have the form a + bi. If the given is raised to a certain number, then the r is raised to the same number while the angles are being multiplied by that number.
For 1) </span>[3cos(27))+isin(27)]^5 we first apply the concept I mentioned above where it becomes
[3^5cos(27*5))+isin(27*5)] and then after simplifying we get, [243 (cos (135) + isin (135))]
it is then further simplified to 243 (-1/ √2) + 243i (1/√2) = -243/√2 + 243/<span>√2 i
and that is the answer.
For 2) </span>[2(cos(40))+isin(40)]^6, we apply the same steps in 1)
[2^6(cos(40*6))+isin(40*6)],
[64(cos(240))+isin(240)] = 64 (-1/2) + 64i (-√3 /2)
And the answer is -32 -32 √3 i
Summary:
1) -243/√2 + 243/√2 i
2)-32 -32 √3 i
Slope is the change in Y ( vertical) over the change in X( horizontal).
The slope would be -2 /3
You would multiply the horizontal distance by the slope:
-2/3 x 12 = -8
The answer would be D. v(h)=-2/3h, and the vertical distance is -8 feet.
Answer:
720,682.92
Step-by-step explanation:
8.5% = 0.085
P(t) = Initial Population * (1 + rate)t
P(t) = 230,000(1 + 0.085)t
P(t) = 230,000(1.085)t
P(14) = 230,000(1.085)14
P(14) = 720,682.82
