how to simplify (4i)^2 ?​

Answers

Answer 1

Answer:

-16

Step-by-step explanation:

Simplify:

        [tex](a*b)^m=a^m * b^m\\[/tex]

        i² = -1

(4i)² = 4² * i²  

        = 16 * (-1)

       = -16

Answer 2

Let's examine what we know:

 [tex](ab)^x=a^x * b^x[/tex]

So, In the equation: [tex](4i)^2[/tex]

  ⇒ is equivalent to ⇒ [tex]4^2*i^2= 16 * (-1) = -16[/tex]

Answer: - 16

Hope that helps!


Related Questions

does the point (3,1) lie on the line y=x-3? (With explanation)

Answers

Answer:

well i lands on y and the explaination would be 3+1=y

Step-by-step explanation:

hope this helps

URGENT MATH QUESTION MIDDLE SCHOOL

Answers

Answer:

A

Step-by-step explanation:

There is an even number of values.
Hope it helps

Sorry if I’m wrong

Please heLp me lollol

Answers

Answer:

AC = 10

Step-by-step explanation:

AB = 6

BC = 4

just sum

6 + 4 = 10

AC = 10

PLEASE HELP ILL GIVE 20 PTS!!!!

Answers

Answer:

adjacent

Step-by-step explanation:

you are lucky its only 83 degrees where you live

its over 90 where i live

Find an angle α that is coterminal with an angle, in radians, measuring −13π/2, where 0≤α<2π. Give your answer as an exact answer involving π, if necessary.

Answers

Answer:

  α = 3π/2

Step-by-step explanation:

To find the coterminal angle, add multiples of 2π until you have an angle in the desired range. Here, you need to add 8π.

  α = -13π/2 + 8π = (-13 +16)π/2 = 3π/2

A box is 9 inches by 11 inches. The donuts have a radius of 1.25 inches. How many donuts can fit in the box?

Answers

Answer:

  14 donuts

Step-by-step explanation:

Packing circles in a rectangular space is always an interesting problem. Sometimes, it works well to put them on a grid. Other times, more circles can be packed in if they are somewhat off-grid. The details depend on the specific dimensions.

The attached shows a way to fit 14 donuts in the box.

_____

Additional comment

Packing them on a square grid allows only 12 donuts to be put in the box.

helppppp find the value of a and b

Answers

Answer:

<a = <b = 60°

Step-by-step explanation:

<a and <b is vertically opposite of each other, thus equal each other. 90 - 30 = <b = <a.

Answer:

a and b are equal so a and b are 60°

f(x) = xWhat is g(x)?
11(x) = x²
g(x)
O A. g(x) = -3x2
B. g(x) = x2 - 3
Oc. g(x) = -x²
O D. g(x) = -x2 - 3

Answers

the answer is C
explanation

How much interest will linda pay for a loan of N850 at the rate of 15% in 2years

Answers

Answer:

850 ( 2 multiply by 15 divide by 100)

850 ( 2 multiply 0,15)

850 multiply 0,3

= R255, 00

A study by the department of education of a certain state was trying to determine the mean SAT scores of the graduating high school seniors. The study found that the mean SAT score was 516 with a margin of error of 20. Write a confidence interval for the true mean SAT score of the graduating high school seniors.

Answers

A confidence interval for the true mean SAT score of the graduating high school seniors will be (496; 536)

What is a confidence interval?

A confidence interval (CI) is a range of estimates for an unknown parameter in frequentist statistics.

Mean score ± margin of error

Margin of Error = 20

Mean SAT score = 516

Hence,the confidence interval will be:-

=  516   ±  20

Lower boundary  =  516   -   20  = 496

Upper boundary  =  516   +  20  =  536

To know more about confidence intervals follow

https://brainly.com/question/16974109

#SPJ1

What is the next step to solve the equation 5y 3x15 for y?​

Answers

Answer:y will be 45 then Multiply 45x3 which equals 135. Then add 135+62 and get your awnser.

Step-by-step explanation:

What number is b?
b +4= 10

Answers

Answer:

6

Step-by-step explanation:

b+4=10

  -4 .-4

b=6

Answer:

b= 6

Step-by-step explanation:

subtract the answer (10) by the remaining 4, (so 10-4) which equals 6

DUE BEFORE 11 PM
SOLVE THE TRIANGLE

Answers

The third angle of the triangle will be ∠B = 71°.

What is an angle?

The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.

Given that:-

Two angles are ∠A = 42° and ∠C=67°

The third angle will be calculated as:-

∠A   + ∠C + ∠B = 180

42  +  67  +  ∠B = 180

∠B = 180 - 42 - 67

∠B =  71°

Therefore the third angle of the triangle will be ∠B = 71°.

To know more about an angle follow

https://brainly.com/question/25770607

#SPJ1

Need help fast thanks and god bless

Answers

Answer:

275.

Step-by-step explanation:

The gradient of the graph is 70/2 = 35 and it passes through the origin so we can write its equation as

y = 35x.

The gradient of the function represented by the the table is

(240-180) / (4-3) = 60

Ehen x = 3 y = 180 so when  x = 0 y = 180 - 60 - 60 - 60 = 0 and the equation of this function is

y = 60x.

For the first equation when x = 11, y = 35*11 = 385.

For the second it is 60 * 11 = 660

So our answer is  660 - 385

= 275

That’s the Answer in the right order

Answers

Answer:

3rd one

Step-by-step explanation:

i hope  have a great day

What is the value of x? put your answer as a decimal.​

Answers

Answer:

It should be 58.6 if Im not mistaken. Im so sorry if I'm wrong.

Step-by-step explanation:

which set of measures could be the measures of the interior angles of a triangle?

a.30°, 90°, 30°

b.32°, 59°, 79°

c.35°, 65°, 75°

d.22°, 37°, 121°

Answers

Answer:

D

Step-by-step explanation:

Whatever angle you pick the three possibilities must add to 180.

a) adds to 150

b) 32 + 59 + 79  =  170. Close but not close enough

c) c has three 5s. The total will end in 5. Not the answer.

d) d does add to 180. It's the answer.

Question -:

Which set of measures could be the measures of the interior angles of a triangle?

a.30°, 90°, 30°

b.32°, 59°, 79°

c.35°, 65°, 75°

d.22°, 37°, 121°

Explanation -:

In this question we are asked to find out which one could be the measures of the interior angles of a triangle. Add the three measure angles given if you get 180° then those angles can be the interior angles of a triangle.

We know that,

[tex] \bull \: \small\boxed{ \rm{ Sum \: of \: all \: interior \: angles \: of \: a \: triangle = 180°}}[/tex]

a) 30°, 90°, 30°

→ 30° + 90° + 30° = 180°

→ 150° ≠ 180°

Option a) is not the correct answer.

b) 32° , 59° , 79°

→ 32° + 59° + 79° = 180°

→ 170° ≠ 180°

Option b) is not the correct answer.

c) 35° , 65° , 75°

→ 35° + 65° + 75° = 180°

→ 175° ≠ 180°

Option c) is not the correct answer.

d) 22° , 37° , 121°

→ 22° + 37° + 121° = 180°

→ 180° = 180°

Hence, opition d) is the correct answer

i need help with 7th grade math please need help ASAP + brainleist

Answers

Answer:

Area = 6647.610055 cm^2

Circumference = 289.02652413 cm

Step-by-step explanation:

Area of Circle: Area = π*r^2

Circumference: C = 2*π*r or π*d


Area = π * 46^2 = 6647.610055

Circumference = 2*π*46 = 289.02652413

Area = 6644.24 cm^2
Circumference = 288.88 cm

Area of a circle is pi * radius squared or pi * r^2


pi = 3.14 (the problem told us this)
radius = 46 cm


plug in the numbers

A = 3.14(46)^2

(square the 46 first)

A = 3.14 * 2116

A = 6644.24 cm ^ 2


Circumference formula is

2pi* r



plug in the numbers

C = 2 * 3.14 * 46

C = 6.28 * 46

C = 288.88 cm

i hope this helps

Molly gives 3% of her paycheck to a charity. If she makes $350 per week, how much goes to the charity?

Answers

Answer:

$10.50

trust me

answer:

342$

Step-by-step explanation:

Think about it........................ 77 + 33 =100

The two stadiums with the largest capacity is are Marshfield Stadium and Browden stadium. The capacity of Marshfield Stadium exceeds that of Bowden by 4,465 people. Combined, the two stadiums have a capacity of 210,355 people. Find the capacity of each stadium.

Answers

Step-by-step explanation:

x = capacity of Marshfield

y = capacity of Browden

x + y = 210,355

x = y + 4,465

so, using the second equation in the first

(y + 4,465) + y = 210,355

2y + 4,465 = 210,355

2y = 205,890

y = 102,945 (Browden)

x = y + 4,465 = 102,945 + 4,465 = 107,410 (Marshfield)

Can someone explain how to solve this I’m confused

Answers

Answer:

x = 61°

Step-by-step explanation:

(2x + 3)°+ (x - 6)° = 180°

2x + x + 3 - 6 = 180°

3x - 3 = 180°

3x = 180° + 3

3x = 183°

x = 183°/3

x = 61°

URGENT!!! Which function, g or h, is the inverse function for function ƒ?


the function h because the graphs of ƒ and h are symmetrical about the line y = x

the function g because the graphs of ƒ and g are symmetrical about the line y = x

the function g because the graphs of ƒ and g are symmetrical about the x-axis

the function h because the graphs of ƒ and h are symmetrical about the y-axis

Answers

Answer:

The answer is The function h because the graphs of f and h are symmetrical about the line y = x.

Step-by-step explanation:

A function and its inverse function become symmetrical across the line y = x.  

Please help me fill out the blanks.

Answers

Answer:

Acute angle : 30*      Obtuse angle : 120*

Step-by-step explanation:

Hope this helps :)

Answer:

acute angle- less than 90 degrees

obtuse angle- 120 degrees

Step-by-step explanation:


The principal of High School has been asked to judge an art contest with 20 entries. In how
many ways can he assign first, second, third and fourth place

Answers

Answer:

720. just multiply 10 9 and 8 because  first, second, and third, that is means three and that's how many numbers you multiply from 10,so it equals 720.

hope this helps

Step-by-step explanation:

Hello all, what is 8y = 89.

Answers

Answer:

y= 11. 125

Step-by-step explanation:

8 y = 89

because you do not have another y on the other side simple divide

8 y = 89

89 / 8 = y

y= 11. 125

(Not sure what decimal place to round to  so there are all 3 )

Hey there!


8y = 89

DIVIDE 8 to BOTH SIDES

8y/8 = 89/8

SIMPLIFY IT!
y = 89/8

y ≈ 11 1/8

y ≈ 11.125


Therefore, the answer is:

y = 89/8


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

solve by elimination
(show all your work)
14x = 2y + 16
5x = y + 2

Answers

Answer:

x=3

y=13

Step-by-step explanation:

Multiply the second equation by 2:

2(5x=y+2) = (10x=2y+4)

Subtract one equation from the other:

   14x=2y+16

-   10x=2y+4

=  4x=12

Solve for x:

4x=12

x=3

Solve for y by plugging in x:

5(3)=y+2

15=y+2

13=y

Help with the linear equations

Answers

Answer:

[tex]y \: intercept = - 1 \frac{1}{2} [/tex]

Step-by-step explanation:

The y intercept form for the equation of a line is

[tex]y = mx + c[/tex]

You should note that c represents the y-intercept of the line (where the line touches the y-axis)

[tex]y = mx + c \\ \\ we \:were\: given \:the \:equation \:y = x - \frac{3}{2} \\ \\ therefore \: the\: value \:of \:c \:is\: - \frac{3}{2} \:or -1 \frac {1}{2}[/tex]

Is 8,11,14 a right triangle?

Answers

Answer:

NO

Step-by-step explanation:

For it to be a right triangle, 14 should be 13.6

8, 11, 13.6 is a right triangle

Avery had $25.19 in her wallet. If she bought lunch with 7 & dollars from her wallet, how much money did she have in her wallet
after lunch?
A. $18.09
B. $18.19
C. $16.94
D. $17.94

Answers

Answer:

B) $18.19

Step-by-step explanation:

Avery has $25.19 in her wallet, and she spends $7 on lunch. Subtract 7 from the original amount she had to get the new total:

25.19 - 7 = 18.19

B) $18.19 is your answer.

~

[tex] \red{ \sf \: option \: B. \$18.19}.. \: ... \: ...✔[/tex]

GivenAvery had $25.19 in her walletIf she bought lunch with 7 & dollars from her walletTo findhow much money did she have in her wallet after lunch?Solution

Subtract the original amount in her wallet by the amount she spent to find the remaining amount of money.

$25.19-$7.00 =$18.19

Required Answer

$18.19 money did she have in her wallet after lunch

Marshall evaluates the expression 15.3 - 7.9 and gets an answer of 7.4.
Is this a reasonable answer?
A. Since 15.3 rounds to 16 and 7.9 rounds to 8, the difference rounds to 8. His answer of 7.4 also rounds to 8, so it is reasonable.
B. Since 15.3 rounds to 16 and 7.9 rounds to 8, the difference rounds to 8. His answer of 7.4 rounds to 7, so it is not reasonable.
C. Since 15.3 rounds to 15 and 7.9 rounds to 8, the difference rounds to 7. His answer of 7.4 also rounds to 7, so it is reasonable.
D. Since 15.3 rounds to 15 and 7.9 rounds to 8, the difference rounds to 7. His answer of 7.4 is not equal to 7, so it is not reasonable.

Answers

Answer:

C

Step-by-step explanation:

Anything less than 5 rounds down while 5 and anything more rounds up. Therefore...

15.3 rounds to 15

7.9 rounds to 8

7.4 rounds to 7

So, his answer is reasonable.

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