Answer:
y=2x+3 is non-proportional. y=5x is proportional.
Step-by-step explanation:
y=2x+3 is not proportional because there is the +3. also, when it is graphed on a graph, the line does not pass through the origin/zero.
y=5x is proportional because it does not have any other values attached to the y value. when it is graphed, the lie goes through the origin/zero.
ASAP Find the minimum, maximum, range, mean, and median for the data set. 12, 13, 13, 17, 18, 19, 27 A. minimum: 12 maximum: 27
True [87]
<span>C.
</span><span>minimum: 12
</span><span>maximum: 27
</span><span>range: 15
mean: 17
median: 17
</span>
Answer:
11 pt
Step-by-step explanation:
There are 2 pints in one quart. This means that there are 10 pints in 5 quarts, plus 1 would be 11.
Answer:
0.93
Step-by-step explanation:
u have to add them all and divide by 12. then u add all of them but the outlier and divide by 11. then u subtract.
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
