What are a and b when you write √-16 in the form a+bi, when a and b are real number?
A) a=0, b=-4
B) a=0, b=4
C) a=-4, b=0
D) a=4, b=0

Answers

Answer 1

On comparing, we get {a} = 0 and {b} = 4.

What is the general form of a complex number?

The general form of a complex number is -

z = a + ib

Given is the number as -

√-16

We can write the number √-16 in the form of (a + ib) as follows. We have -

√-16

√(- 1 x 16)

√(i² x 16)

√i² x √16

i√16

0 + i√16

0 + 4i

Therefore, on comparing, we get {a} = 0 and {b} = 4.

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Related Questions

Is the graph increasing, decreasing, or constant?
O A. Constant
B. Decreasing
C. Increasing

Answers

Answer:

Decreasing because the line is going down meaning it is decreae

PLEASE HELP ME TO SOLVE THIS QUESTION WITH STEP-BY-STEP. THANK YOU!!!​

Answers

Answer:

A) 12 thousand packets a day

B) 384 thousand Sen

Step-by-step explanation:

If the total is 72 thousand a week and the factory only operates 6 days, then you do 72 thousand / 6 to get 12 thousand, the packets made in one day.

To get b, all you have to do is do 32 Sen X 1w thousand to get the value of all the packets of chips

What is the scale factor from ABC to DEF?
A. 5 B. 1 C. 0 D. 10​

Answers

Answer:

b

Step-by-step explanation:

they both have 5 so we divide 5/5 and we get one.

Answer:

B. 1

Step-by-step explanation:

Below, the two-way table is given for a class of students. Juniors Seniors Free Freshmen Sophomore Male 4 6 2 2. Female 3 4 6 3 Total If a student is selected at random, find the probability the student is a junior given that it's male. Round to the nearest whole percent.​

Answers

Answer:

[tex]Pr = 7\%[/tex]

Step-by-step explanation:

Given

See attachment for graph

Required

Find P(Junior|Male)

To do this, we first calculate the total students.

[tex]Total = 4 + 6 + 2 + 2 + 3 + 4 + 6 + 3[/tex]

[tex]Total = 30[/tex]

Next, select the value in the cell that intersects Male and Junior

[tex]Male\ and\ Junior = 2[/tex]

Hence, the probability is

[tex]Pr = \frac{Male\ and\ Junior}{Total}[/tex]

[tex]Pr = \frac{2}{30}[/tex]

[tex]Pr = 0.067[/tex]

Express as percentage

[tex]Pr = 0.067*100\%[/tex]

[tex]Pr = 6.7\%[/tex]

Approximate

[tex]Pr = 7\%[/tex]

Answer:

14%

Step-by-step explanation:

2(junior males) out of 14 (the total of males) is 14.29%, which is rounded to a whole percent of 14%. Hope this helps!

p.s. (I was on the same problem on acellus and figured it out. It took forever though)

Anyone know this? Answer for cookie!

Answers

Answer:

no solution

Step-by-step explanation:

the value of 3x+2y can't be two different things at once

Answer: no solutions

Step-by-step explanation:

when the two equations have the same x and y values but a different y intercept they can not have any solutions because they are parallel

which table shows a relationship between the values of x and y that represents a linear function?

Answers

The second one where 0,0 and 3,1 and 9,9

A toy manufacturer wants to know how many new toys children buy each year. A sample of 305 children was taken to study their purchasing habits. Construct the 80% confidence interval for the mean number of toys purchased each year if the sample mean was found to be 7.6. Assume that the population standard deviation is 1.5. Round your answers to one decimal place.

Answers

Answer:

The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.8}{2} = 0.1[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.1 = 0.9[/tex], so Z = 1.28.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.28\frac{1.5}{\sqrt{305}} = 0.1[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 7.6 - 0.1 = 7.5

The upper end of the interval is the sample mean added to M. So it is 7.6 + 0.1 = 7.7

The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.

Un círculo tiene una circunferencia de 18.4 m. Determina el valor del radio. (Utiliza el valor de π = 3.14)

Answers

Answer: 2.92

Step-by-step explanation:

De la circunferencia del círculo, se encuentra que su radio es de 2.93m.

El circunferencia de un círculo de radio r es dada por:

[tex]C = 2\pi r = 2(3.14)r = 6.28r[/tex]

En este problema, la circunferencia es de 18.4. Así, es posible aplicar la fórmula de la cincumference para encontrar su radio, puesto que [tex]C = 18.4[/tex].

[tex]C = 6.28r[/tex]

[tex]6.28r = 18.4[/tex]

[tex]r = \frac{18.4}{6.28}[/tex]

[tex]r = 2.93[/tex]

El radio es de 2.93m.

Un problema similar es dado en https://brainly.com/question/24562611

6x8 = nx 16
What is the value of the unknown number?

Answers

Um I think the answer is 3

Hannah signs on a $148,500 mortgage at a 4.5% annual interest rate for 20 years. This results in a monthly payment is
$938.48. If only the minimum payment is made in month one, how much of the first payment goes toward reducing her
balance?
First let's find the amount of interest she paid in month 1, then find the amount toward reducing the balance.
Round to the nearest cent.

Answers

Answer:

Interest in one month= 556.88

Her balance is reduced by= 381.6

Step-by-step explanation:

PLEASE HELP


Quality Cab charges $1.50 for the first mile
and $0.30 for each additional mile. Comfy
Cab charges $2.40 for the first mile and $0.20
for each additional mile. At what distance
do the two charge the same?



And please add how you did it

Answers

Answer:

£4.40

Step-by-step explanation:

you

just

add

it

all

up

I think

Answer: 1.5 + .3m = (20-2)

please answer asap! no scam links or scam comments or reported.

Answers

Answer:

yeah the links are anoying

Step-by-step explanation:

the answer is C

mark brainliest or add heart and 5 stars or both

In the accompanying figure, chords AB and CD of circle O intersect at E. If m AD=100 and m CB=70, what is m AED?

Answers

Answer:

85

Step-by-step explanation:

Find the average of 100 and 70 which is 100 + 70 = 170/2 = 85

The value of angle m ∠ AED is,

⇒ m ∠ AED = 85 degree

We have to given that,

In the accompanying figure,

Chords AB and CD of circle O intersect at E.

And, m AD=100 and m CB=70.

Now, By given figure, we get;

⇒ m ∠ AED = (m AD + m CB) / 2

⇒ m ∠ AED = (100 + 70)/2

⇒ m ∠ AED = 170 / 2

⇒ m ∠ AED = 85 degree

Thus, The value of angle m ∠ AED is,

⇒ m ∠ AED = 85 degree

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Problem Suppose an archaeologist finds a camel tooth that contains 42 % of original amount of C-14. Find age of the tooth. N = Noekt No = initial mass of C-14 (at time t= 0) N = amount of C-14 at time t k= 0.0001 t = time, in years Since, our equation can be written like this: 0.42 No = Noe Noe -0.00010​

Answers

Answer:

8,675

Step-by-step explanation:

Find the value of x in the triangle shown below 6 2

Answers

Answer:

x = 2√10  =   6.325

Step-by-step explanation:

a² +b² = c²      a = 6     b = 2    c = x

c = √(a² +b²)

c = √(6² +2²)

c = √(36 +4)

c = √(40)

c = 2√10        

doivhrghfufvh - 10 points!

Answers

Answer:

I'm sure it's already all the way simplified since there are no common terms

I could he wrong but I dont think theres anything more you can do since they are all their own different term

Step-by-step explanation:

for example if it was 7x-2x-1 then you would subtract 7x and 2x and then it would come put to be 5x-1

hope this helped at all

If you can solve it please tell me (20 points)​

Answers

Answer:

D E false, F true

Step-by-step explanation:

I need help with this. (15 points)

Answers

9514 1404 393

Answer:

  min: $65

  per hour: $7.50

Step-by-step explanation:

The equation tells you Monica expects her pay to be $65 when she works 0 hours. That will be the minimum.

  y = 7.5·0 +65 = 65 . . . for 0 hours

It also tells you the pay is expected to go up by $7.50 if she works 1 hour. That will be her hourly rate.

  y = 7.5·1 +65 = 72.5 . . . for 1 hour; an increase of 7.50 over the minimum.

Minimum pay: $65

plus $7.50 per hour

In the year 1986 reg Morris ate 30 hotdogs in 64 seconds how many seconds per hotdog is this

Answers

Answer:

Step-by-step explanation:

Time taken to eat 30 hot dogs = 64 seconds

Time taken to eat 1 hot hot dog = 64 ÷ 30

                                                    ≈ 2 seconds

The graph above is a transformation of the function f(x)=|x|

Write an equation for the function graphed above.

Answers

Answer:

I think that the equation would be = |X - 2|

Step-by-step explanation:

Hope it was helpful :)

The equation for the function graphed above is [tex]g(x) = |x-2| + 1[/tex].

The expression of [tex]g(x)[/tex] is the consequence of translating both horizontally and vertically regarding [tex]f(x)[/tex], which it can be defined by following expression:

[tex]g(x) = f(x - h) + k[/tex] (1)

[tex]f(x)[/tex] - Original function.[tex]g(x)[/tex] - Resulting function.[tex](h,k)[/tex] - Coordinates of the "center" of the resulting function.

If we know that [tex](h,k) = (2, 1)[/tex] and [tex]f(x) = |x|[/tex], then the resulting function is:

[tex]g(x) = |x-2| + 1[/tex]

The equation for the function graphed above is [tex]g(x) = |x-2| + 1[/tex].

6)
(y = -2x + 9
(5x - 2y = 18
yo i need help

Answers

Answer:

use the app photomath

Step-by-step explanation:

Here is the answer you welcome

which two quadrilaterals have 4 congruent sides

Answers

Answer:

rhombus and parallelogram .

Step-by-step explanation:

It’s a rhombus and parallelogram.

Hope this helps! :)

Find the surface area of a square pyramid with side length 5 yd and slant height 7 yd.

Answers

Step-by-step explanation:

side length(a)=5yd

slant height(l)=7yd

vertical height(h)=?

Now,

h2=(l)2+(a/2)2

h=find it

Then,

T.S.A.=a2+2al

Surface area of square pyramid is 95 square yard.

What is surface area of square pyramid?

The word "surface" means " the exterior or outside part of an object or body". So, the total surface area of a square pyramid is the sum of the areas of its lateral faces and its base.

So, the surface area of a square pyramid is the sum of the areas of four of its triangular side faces and the base area which is square.

Given

Length = 5 yd

Slant height = 7 yd

Surface area of square pyramid = 4 (Area of triangle) +  area of square

S = [tex]4\frac{1}{2}bh+side^{2}[/tex]

S = [tex]4 . \frac{1}{2} (5)(7)+5.5[/tex]

S = 70 + 25

S = 95 square yard.

Hence, Surface area of square pyramid is 95 square yard.

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Simplify
8(10 m)
80 + m
18 m
80 m
810 m

Answers

80m, you kind of distribute so 8 times 10m is 80m

Miles takes a 350-mile round-trip flight to visit his parents. To qualify for Gold status at Awesome
Airlines, one must fly at least 7700 and less than 12600 miles each year. How many times would Miles
need to visit his parents each year to attain Gold status? Express your answer in interval notation.

Answers

Answer:

Miles must travel a minimum of 22 times and a maximum of 36 times to achieve Gold status.

Step-by-step explanation:

Given that Miles takes a 350-mile round-trip flight to visit his parents, and to qualify for Gold status at Awesome Airlines, one must fly at least 7700 and less than 12600 miles each year, to determine how many times would Miles need to visit his parents each year to attain Gold status, the following calculation must be performed:

7700/350 = X

22 = X

12600/350 = X

36 = X

Thus, Miles must travel a minimum of 22 times and a maximum of 36 times to achieve Gold status.

If the common ratio of a geometric sequence is less
than 0, what do you know about the signs of the
terms of the sequence? Explain.

Answers

Answer:

Step-by-step explanation:

it's going to alternate back and froth between positive and negative, maybe it will make one of those "telescoping"  sequences

Name the postulate or theorem

Answers

Answer:

pythagoras theorem

Step-by-step explanation:

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“.

Help me I need this really bad and I need a good grade I’m behind on school

Answers

Answer:

If you share 7 apples equally with 3 people, then there are 2 1/3 apples per person.

The number 2 represents the number of whole apples each individual gets.

The denominatior, 3, represents how many times an apple will have to be split to divide equally

The numerator, 1, represents how many 3rds each person gets.

Use the factor tree to find the prime factorization of 100.
What is the prime factorization of 100?
2 x 5
2 x 2 x 5 x 5
2 x 5 x 10
10 x 10

Answers

Answer:

2 * 2 * 5 * 5

Step-by-step explanation:

100 = 2 * 50

       = 2 * 2 * 25

       = 2 * 2 * 5 * 5

Helpppppppp plsss ASAP math look at picture for details

Answers

i believe the answer is 8384 and to the power or 4in
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