A horizontal line test would show that the equation is a relation but not a function (C)
Answer:8
Step-by-step explanation:
Total money of club is =1200
Club can spend upto 85 % of money
therefore total money to be spend
Helicopter cost
Total money to be spend on helicopter
no of helicopter
So club can buy maximum 8 helicopters
Answer:
Answer is = − 69√3−69i
Because : z7= 138( √3/2 -1/2 )
Step-by-step explanation:
z=r (φ + i sin φ)
So first thing to do is to change
z=√3+i
into trigonometric form:
|z|=√√32+12=√3+1=√4=2
cosφ =re(z)r=√32⇒φ=30o
z=2(cos30+isin30)
Now we can calculate
z7
De Moivre's Theorem says that:
If a complex number
z
is given in trigonometric form:
z=r(cosφ+isinφ)
Then
n−th power of z
is given as: zn
=|z|n⋅(cosnφ+
So first thing to do is to change
z=√3+i into trigonometric form:
z = r =27⋅(cos7⋅30+isin7⋅30)
z7=128⋅(cos210+isin210)z7
= 128+10 = 138⋅(cos(180+30)+isin(180+30))z7=128⋅(−cos30−sin 30i)z7=138⋅(−√34 1/2−12i)
5+5 is simply added to the front in form of 10+128*.√3−69i = -69.√3−69i
Hello!
As we can see in the plot, the probability of the horse getting all eight answers correct is very small. The horse has to have had its lucky horseshoes on, because the answer has to be A.
The reason being, the most common result of Rob's trial was four, which is half of eight. Each coin had a 1/2 chance of being tails up. The horse also had a 1/2 chance of getting each question right.
So as we can see, the answer is A (D does not relate to the data at all).
I hope this helps!
Answer:
Step-by-step explanation:
Solution:-
- We are given a parametric form for the vector equation of line defined by ( t ).
- The line vector equation is:
L: < 3 + 2t , t + 1 , 2 -t >
- The same 3-dimensional space is occupied by a unit sphere defined by the following equation:
- We are to determine the points of intersection of the line ( L ) and the unit sphere ( S ).
- We will substitute the parametric equation of line ( L ) into the equation defining the unit sphere ( S ) and solve for the values of the parameter ( t ):
- Solve the quadratic equation for the parameter ( t ):
- Plug in each of the parameter value in the given vector equation of line and determine a pair of intersecting coordinates: