Let y in the form of a + ib, where a and b are real numbers, be the cubic roots of a complex number z 20, where z =2 4+i3. Find a + b.​

Answer:

ummm oop- haha

Answer:

Get  Math Papa It is a Great Algebra Calculator

Step-by-step explanation:

Answer:

59

Step-by-step explanation:

3*20-1=59

Answer:

Step-by-step explanation:

One sentence on globalization from the text: The process of globalization has brought significant changes to the world economy, including the emergence of new trade patterns and the increasing interconnectedness of markets.

One sentence on how the absence of plantation owners perpetuated cruel treatment of slaves by overseers: In the absence of plantation owners, overseers were left with unchecked power over the enslaved population, often resulting in brutal treatment and violence

The coefficient of x^2 in the expansion of (x + 2)^3 is 6

From the question, we have the following parameters that can be used in our computation:

(x + 2)^3

Next, we expand the expression

So, we have the following representation

(x + 2)^3 = x^3 + 3x^2 * 2 + 3x * 2^2 + 2^3

Evaluate the expression

(x + 2)^3 = x^3 + 6x^2 + 12x + 8

The coefficient of x^2 in the expression  x^3 + 6x^2 + 12x + 8 is 6

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First 14% of 16$

\(\\ \rm{:}\dashrightarrow 0.14(16)=2.24\)

New wage:-

Answer:

Step-by-step explanation:

   o--------------------------->

\(<------------>\\ -25 -24 -23 -22 -21 -20\)

> means an open circle on -25, and a line pointing to the right because it's greater than.

Options C and D number lines show a graph of the inequality x > -25 that lies on the positive side.

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

We have given a condition we need to find which number line shows a graph of the inequality x > -25.

We can see in the graph that the number line of options 1 and 2 doesn't show the inequality x > -25 because the point lies on the negative side of the number line.

But the number line in the options C and D shows the inequality x > -25.

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Answer:

16 boxes

Step-by-step explanation:

16x5=80+150=230>15x16=240

Answer:

green line or "b"

Step-by-step explanation:

we can set this up into the slope intercept form

y=mx+b

where m is the slope and b is y intercept

12=3x+4y

-3x -3x

-3x+12=4y

/4.  /4.  /4

-3/4x+3=y

we can see the only line with a negative slope and a y intercept at 3 is the green line or "b"

hopes this helps please mark rainliest

P is annual

P_o is initial

r is rate of interest

t is time

Find r

So

The rate is

Answer:

Step-by-step explanation:

The segment sum theorem tells you the whole is the sum of the parts. That can be used to write an equation for y.

  RS +ST = RT

  (5y +5) +(4y +8) = 67

Simplifying, we get ...

  9y +13 = 67

  9y = 54 . . . . . . . . subtract 13

  y = 6 . . . . . . . . . divide by 9

RS = 5y +5 = 5·6 +5 = 35

ST = 4y +8 = 4·6 +8 = 32

The values of interest are ...

Answer:

It's the second inequalities. y<x and y (more than or equal to) -x

Answer:

\(y<x\\y\geq -x\)

Step-by-step explanation:

\(y<x\\y\geq -x\)

Answer:

B

Step-by-step explanation:

a prime polynomial is one which does not factor into 2 binomials.

its only factors are 1 and itself

attempt to factorise the given polynomials

3x³ + 3x² - 2x - 2 ( factor the first/second and third/fourth terms )

= 3x²(x + 1) - 2(x + 1) ← factor out common factor (x + 1) from each term

= (x + 1)(3x² - 2) ← in factored form

--------------------------------------------------

3x³ - 2x² + 3x - 4 ( factor the first/second terms

= x²(3x - 2) + 3x - 4 ← 3x - 4 cannot be factored

thus this polynomial is prime

----------------------------------------------------

4x³ + 2x² + 6x + 3 ( factor first/second and third/fourth terms )

= 2x²(2x + 1) + 3(2x + 1) ← factor out common factor (2x + 1) from each term

= (2x + 1)(2x² + 3) ← in factored form

-------------------------------------------------

4x³ + 4x² - 3x - 3 ( factor first/second and third/fourth terms )

= 4x²(x + 1) - 3(x + 1) ← factor out common factor (x + 1) from each term

= (x + 1)(4x² - 3) ← in factored form

--------------------------------------------------

the only polynomial which does not factorise is

3x³ - 2x² + 3x - 4

Answer:

See below.

Step-by-step explanation:

STEP 1:  If you write the given terms all with denominators of 16, they are 28/16, 25/16, 22/16, 19/16, __, ____, ____, 7/16, 4/16.

STEP 2: The terms decrease by 3/16 for each step.

RULE: Term 1 = 7/4 and term (n + 1) = term 'n' - 3/16

The operation for increasing by the same amount every step is addition.

The operation for decreasing by the same amount every step is subtraction.

STEP 3: The rule is that the terms decrease by 3/16 at each step.

So the next 3 terms after 19/16 will be 16/16, 13/16, and 10/16.

Reformat them and you have 1, 13/16, 5/8.

So now the completed sequence is 1&3/4, 1&9/16, 1&3/8, 1&3/16, 1, 13/16, 5/8, 7/16, 1/4.

The equation of Q(n) is \(Q(n) = \frac89 * (88n + 23)\)

The functions are given as:

\(R(d) = \frac89 d\)

\(P(n) = 88n + 23\)

From the question, we understand that:

d = P(n)

This means that:

d = 88n + 23

Substitute d = 88n + 23 in R(d)

\(R(n) = \frac89 * (88n + 23)\)

Also, from the question

Q(n) = R(n)

So, we have:

\(Q(n) = \frac89 * (88n + 23)\)

Hence, the equation of Q(n) is \(Q(n) = \frac89 * (88n + 23)\)

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Answer:

Coplanar points

Step-by-step explanation:

Coplanar points are three or more points that lie in the same plane.

Answer:

n + 1/5n

Step-by-step explanation:

I had the quiz already, trust me.

Answer:

the answer is D

Step-by-step explanation:

i got it right and so would you ;)

The confidence interval for the mean of the population is (40.5, 41.5). Option D is correct.

If the sample size is given to be n >30, then for finding the confidence interval for the mean of the population from this small sample, we use t-statistic.

Then, we get the confidence interval in between the limits;

\(\rm CI= \overline{x} \pm t_{\alpha/2}\times \dfrac{s}{\sqrt{n}}\\\\ CI=41+0.95\times \frac{3}{\sqrt{144} } \\\\ CI= 41+0.7125 \\\\ CI=41.7\\\\ CI=41-0.7125\\\ CI=40.5\)

The confidence interval for the mean of the population is (40.5, 41.5).

Hence,option D is correct.

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Let x and y be the work per hour of M and J rspectively.

then,

Multiply first equation by 3 and second equation by 2

Subtract eqn (4) from (3)

Substitute for y in eqn (1).

Answer:

Toby rode his bike further.  He rode 74 miles further than Wendy.  

Step-by-step explanation:

7 miles per day for 26 weeks is, 7 times 7 times 26, which is a total of  1274 miles.  200 miles each month for 6 months is 6 times 200, which equals 1,200 miles.  Toby rode more miles.

The mean absolute deviation is 0.75

To calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set

From the information given, we have that the data set is;

8 9 9 7 8 6 9 8

Let's calculate the mean, we get;

Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8

Mean = 64 / 8

Divide the values

Mean = 8

Let's determine the absolute difference, we get;

Absolute differences=

|8 - 8| = 0

|9 - 8| = 1

|9 - 8| = 1

|7 - 8| = 1

|8 - 8| = 0

|6 - 8| = 2

|9 - 8| = 1

|8 - 8| = 0

Find the mean of the absolute differences:

Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8

Absolute difference = 6 / 8 = 0.75

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The volume of the of box is derived to be 12 cubic inches, which makes option B correct.

The volume of the box also known as a cuboid can be calculated using the formula:

V = l x w x h

where:

V is the volume of the cuboid

l is the length of the cuboid

w is the width of the cuboid

h is the height of the cuboid

We shall evaluate for the volume of the box as follows:

Volume of the box = 3 in × 2 in × 2 in

Volume of the box = 12 in²

Therefore, the volume of the of box is derived to be 12 cubic inches.

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The volume of the of box is derived to be 12 cubic inches, which makes option B correct.

The volume of the box also known as a cuboid can be calculated using the formula:

V = l x w x h

where:

V is the volume of the cuboid

l is the length of the cuboid

w is the width of the cuboid

h is the height of the cuboid

We shall evaluate for the volume of the box as follows:

Volume of the box = 3 in × 2 in × 2 in

Volume of the box = 12 in²

Therefore, the volume of the of box is derived to be 12 cubic inches.

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To achieve a comparable rate of return, Hank would need to earn an interest rate of approximately 0.86% per month, compounded monthly on his ordinary annuity.

To find the interest rate, compounded monthly, that Hank would need to earn on an ordinary annuity for a comparable rate of return, we can use the present value formula for an ordinary annuity.

First, let's calculate the present value of Hank's payments. He made payments of $219 per month for 30 years, so the total payments amount to $219 * 12 * 30 = $78840.

Now, we need to find the interest rate that would make this present value equal to the selling price of the property, which is $195,258.

Using the formula for the present value of an ordinary annuity, we have:

PV = P * (1 - (1+r)\(^{(-n)})\)/r,
where PV is the present value, P is the payment per period, r is the interest rate per period, and n is the number of periods.

Plugging in the values we have, we get:
$78840 = $219 * (1 - (1+r)\({(-360)}\))/r.

Solving this equation for r, we find that Hank would need to earn an interest rate of approximately 0.86% per month, compounded monthly, in order to have a comparable rate of return.

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Divide 2021 by 19:

2021/19 = 106.3684 = 106 * 19 + 7

Now calculate the remainder of 7^2021

7^1 = 7

7^2 = 49 = 2*19 + 11

7^3 = 343 = 18*19 + 1

7^4 = 2394* 19 + 7

The pattern repeats 7, 11 , 1

So for every time the exponent is increased by 10, the remainder is is the same. ( so a starting value of 1 would have a remainder of 7.

This means the remainder of 2021^2021/19 would be 7

Answer:

give the last guy brainliest. he's earned it UwU

The inequality which represents the range of temperature at which water boils is 100 ≤ b thus, option (C) is correct.

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.

As per the given,

Water boils at a minimum temperature of 100 degrees Celsius.

Suppose b is the temperature at which water boils.

100 ≤ b

Hence "The inequality which represents the range of temperature at which water boils is 100 ≤ b".

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Answer:

Step-by-step explanation:

The 3 sets of data with the same median but different mean are given as follows:

The mean of a data-set is calculated as the sum of all values in the data-set divided by the number of values in the data-set.

The median of a data-set is the middle value of the data-set, the value which 50% of the data-set is less than and 50% of the data-set is more than.

Hence, for a data-set of five elements, which is an odd cardinality, the median is the third element of the ordered data-set.

Then the three data-sets can be constructed with five elements, in which the third element is the same but the sum of the five elements is different.

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Answer:

Follow the actions given in the questions! :)

Step-by-step explanation:

a) 5 black : 5 red

b) 8 black : 5 red

c) 208 black : 200 red

1.57 meters of barbed wire are needed to fence the circular piece of land with a radius of 25 cm.

We have,

To calculate the amount of barbed wire needed to fence the circular piece of land, we need to find the circumference of the circle.

Given:

Radius (r) = 25 cm

The formula for the circumference (C) of a circle is:

C = 2πr

Substituting the given radius into the formula, we have:

C = 2π x 25 cm

Now, we can calculate the circumference in centimeters.

C = 2 x 3.14 x 25 cm

C ≈ 157 cm

Now,

To convert centimeters to meters, we divide the circumference by 100.

C (in meters) = 157 cm / 100

C (in meters) ≈ 1.57 meters

Therefore,

Approximately 1.57 meters of barbed wire are needed to fence the circular piece of land with a radius of 25 cm.

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The complete question.

A circular piece of land with a radius of 25 cm is going to be fenced. How many meters of barbed wire are needed?