Answer:
I. 1 cup is $4.50
2 cups is $9.00
3 cups is $13.50
ll. 6 cups is $27.00
Step-by-step explanation:
Now since the number of cups is proportional to the total cost of frozen yoghurt,and the cost of 4 yoghurts cups where given .ie. $18.00
then 1 cup is $18/4 which is $4.50 per one cup, thus the other cost of cups are given.
therefore 6 cups is 6•18/4 which is $27.00.
hence 5 cups is 5•18/4 which is $22.50.
<span>A+B)^2 is the largest. It is A^2+2AB+B^2, which is clearly greater than the last two options. To compare (A+B)^2 and 2(A+B), we remove one A+B so that we're just comparing A+B and 2. As A+B must be at least 3 (as both must be positive integers, and one must be greater than the other, leading to a minimum value of A=2, B=1), A+B is greater than 2, and as a result, (A+B)^2 is always the largest.</span>
Answer:
1) w₁=4 - i w₂= -4 + i
2) w₁= 3 - i w₂= -3 + i
3) w₁= 1 + 2i w₂= - 1 - 2i
4) w₁= 2- 3i w₂= -2 + 3i
5) w₁= 5 - 2i w₂= -5 + 2i
6) w₁= 5 - 3i w₂= -5 + 3i
Step-by-step explanation:
The root of a complex number is given by:
where:
r: is the module of the complex number
θ: is the angle of the complex number to the positive axis x
n: index of the root
1) z = 15 − 8i ⇒ r=17 θ= -0.4899 rad
w₁==4-i
w₂==-1+i
2) z = 8 − 6i ⇒ r=10 θ= -0.6435 rad
w₁== 3 - i
w₂== -3 + i
3) z = −3 + 4i ⇒ r=5 θ= -0.9316 rad
w₁== 1 + 2i
w₂== -1 - 2i
4) z = −5 − 12i ⇒ r=13 θ= 0.4426 rad
w₁== 2- 3i
w₂== -2 + 3i
5) z = 21 − 20i ⇒ r=29 θ= -0.8098 rad
w₁== 5 - 2i
w₂== -5 + 2i
6) z = 16 − 30i ⇒ r=34 θ= -1.0808 rad
w₁== 5 - 3i
w₂== -5 + 3i
You should write numbers in as many ways as you possibly can to make new connections in your brain. Knowing how to write numbers in many different ways can help you solve complex problems more easily. Doing this can also reinforce the mathematical principles and logic you have memorised.
Writing one in many different ways:
1=1/1=2/2=3/3=4/4=(-1)/(-1)=(-2)/(-2)
=1.0=1.00=1.000=(1/2)+(1/2)=(1/3)+(1/3)+(1/3)
=(1/4)+(1/4)+(1/4)+(1/4)
Writing a half in many different ways:
1/2=(1/4)+(1/4)=(1/6)+(1/6)+(1/6)
=(1/8)+(1/8)+(1/8)+(1/8)=4*(1/8)
=2/4=3/6=4/8=5/10=0.5=0.50
etc...etc...