MATHEMATICS MIDDLE SCHOOL

What are the solutions to x3=5−5i in polar forma. 52‾√3cis(23π12)

b. 52‾√3cis(5π4)

c. 50‾‾‾√6cis(23π12)

d. 50‾‾‾√6cis(7π12)

e. 50‾‾‾√6cis(4π3)

f. 50‾‾‾√6cis(5π12)

g. 50‾‾‾√6cis(5π4)

h. 52‾√3cis(7π12)

i. 52‾√3cis(5π12)

Answers

Answer 1
Answer:

Answer:

z_1=(5√(2))^(1/3)cis((7\pi)/(12))

Step-by-step explanation:

To find the roots of the complex number you use the following formula:

z=re^(i\theta)\n\nz_k= (r)^(1/n)[cos((\theta+2\pi k)/(n))+sin((\theta+2\pi k)/(n))];\ \ k=0,1,2..n-1    (1)

in this case the polar number in polar form is:

r=√(5^2+5^2)=5√(2)\n\n\theta=tan^(-1)((-5)/(5))=-45\°

By replacing in (1) you obtain:

z_0=(5√(2))^(1/3)cis((-\pi/4+0)/(3))\n\nz_1=(5√(2))^(1/3)cis((-\pi/4+2\pi)/(3))=(5√(2))^(1/3)cis((7\pi)/(12))\n\nz_2=(5√(2))^(1/3)cis((-\pi/4+4\pi)/(3))=(5√(2))^(1/3)cis((15\pi)/(12))

hence, you have:

h. 52‾√3cis(7π12)

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PLZ HELP I WILL GIVE BRAINLIEST AND 30 PTSWhats the interest rate if the principle is 32,000 and 96 over 6 years

Answers

Answer:  184,320.00

Step-by-step explanation:

So, for example, if you're making monthly payments, divide by 12. 2. Multiply it by the balance of your loan, which for the first payment, will be your whole principal amount.

r = R/100 = 96%/100 = 0.96 per year,

then, solving our equation

The diameter of a circle is 28 inches. Find the circumference and area. Use 22/7 for pie

Answers

The circumference of the circle is 88 inches, and the area is 616 square inches.

Here, we have,

To find the circumference and area of a circle, we can use the formulas:

Circumference = π × Diameter

Area = π × (Radius)²

Given that the diameter of the circle is 28 inches, we can calculate the radius by dividing the diameter by 2:

Radius = Diameter / 2

           = 28 inches / 2

           = 14 inches

Using the value of π as 22/7, we can now calculate the circumference and area:

Circumference = π × Diameter

                         = (22/7) × 28 inches

                        = 88 inches

Area = π × (Radius)²

         = (22/7) × (14 inches)²

        = 616 square inches

Therefore, the circumference of the circle is 88 inches, and the area is 616 square inches.

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brainly.com/question/11833983

#SPJ2

Radius is 14

14 * 22/7 = 44

The area is 44

C=2πr

C = 2*22/7*14

The circumference is 88

Elliot and kay both bought the same lunch box for $6. Elliot lives in Oklahoma and pays 4.5% in sales tax, while Katy lives in South Carolina and pays 6% in sales tax. how much more did Katy pay in sales tax than Elliot a.$0.09
b.$0.27
c.$0.63
d.$0.36

Answers


 Multiply the price by the amount of sales tax and then subtract the two:


Elliot:
4.5% = 0.045
6 * 0.045 = 0.27 sales tax

Katy:
 6% = 0.06
6*0.06 = 0.36 sales tax

Difference = 0.36 - 0.27 = 0.09

The answer is A.

Lisa drinks 0.55 L of milk everyday . How much milk does she drink in 11 days? Write your answer in milliliters

Answers

Answer:

She will drink 6050mL of milk in 11 days.

Step-by-step explanation:

Multiply by the amount of milk she drinks and how many days there are.

0.55L x 11 = 6.05L

Convert the answer into milliliters (multiply by 1000 because there are 1000mL in 1L).

6.05L x 1000 = 6050mL

Therefore, Lisa will drink 6050mL of milk in 11 days.

Ella is signing up for a gym membership with a one-time fee to join and then a monthly fee to remain a member. The monthly fee to be a member is $25 and the total cost of membership, including the joining fee, would be $200 for 4 months. Write an equation for C
(
t
)
,
C(t), the total cost of the gym membership over
t
t months.

Answers

Answer:52000

Step-by-step explanation:
C(t)=4t($25)+$200
The reason we put a 4 before the t($25) is because with the $200 it states that that’s the price for 4 months, so we know that the time has to be by a factor of 4 because you have to pay the gym membership every 4 months.

Solve 2x^2=11x+6 by factoring

Answers

Answer:

(x-6) (2x+1)

Step-by-step explanation:

1) move everything over to the left side, so subtract 11x and 6.

2x^2 -11x - 6 = 0

2)multiply 2(a term) with -6 (c term)

x^2 -11x -12

3) factor and find what multiples to -12 and adds up to -11. in this case its -12 and positive 1

(x-12) (x+1)

4) divide -12 and 1 by the original a term (2)

(x-6) (x+1/2)

5) move the denominator of 2 over to the x.

(x-6) (2x+1)
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