Which of the following is equivalent to the expression below? (14 - 9i)+(2+3i)
A. 16-6i
B. 16-12i
C. 12-12i
D. 12-6i​

Which Of The Following Is Equivalent To The Expression Below? (14 - 9i)+(2+3i) A. 16-6i B. 16-12i C.

Answers

Answer 1

Answer:

A. 16 - 6i

Step-by-step explanation:

(14 - 9i)+(2+3i)

14 - 9i + 2 + 3i

-9i + 3i + 14 + 2

-6i + 16


Related Questions

What is the m∠ACB?

10°
50°
90°
180°

Answers

Answer:

The total sum of angles in a triangle is 180, thus the value of ∠ACB will be obtained as follows:

Given that the triangle is a right triangle, the sum of angles will be:

(4x)°+(7x-20)°+90=180

simplifying and solving for x we get:

4x+7x-20+90=180

11x=180+20-90

11x=110

dividing both sides by 11 we get:

(11x)/11=110/11

this gives us

x=10°

Thus substituting the value of x in:

∠ACB=(7x-20)°  

=(7*10-20)

=70-20

=50°

Answer: 50°

Answer:

50

Step-by-step explanation:

Couldn’t figure this out, please help

Answers

(A)

Step-by-step explanation:

This system of equations will no solution if they have the same slope and only differ in the y-intercept values. So let's rewrite the two equations into their slope-intercept forms:

[tex]y = \frac{3}{h-2}x + 5[/tex]

[tex]y = \frac{8}{h}x + \frac{5}{h}[/tex]

For them to have no solution, their slopes must equal each other:

[tex]\dfrac{3}{h-2} = \dfrac{8}{h} \Rightarrow 3h=8h-16[/tex]

or

[tex]h = \dfrac{16}{5}[/tex]

Putting this value into our system of equations, we get

[tex]y = \frac{5}{2}x + 5[/tex]

[tex]y = \frac{5}{2}x + \frac{25}{16}[/tex]

This is a system of equations consisting of two parallel lines and as such, do not intersect and so, no solution.

please help
Find the missing side of this right
triangle.
X
7
12
X
= [?]

Answers

Answer:

13.9 (if x is the Hypotenuse)

Step-by-step explanation:

which one is the Hypotenuse (the side opposite of the 90 degree angle) ?

because that determines the calculation.

if x is the Hypotenuse then Pythagoras looks like this

x² = 7² + 12² = 49 + 144 = 193

x = sqrt(193) = 13.9

if 12 is the Hypotenuse, then it looks like this

12² = 7² + x²

144 = 49 + x²

95 = x²

x = sqrt(95) = 9.75

round 8 5/6 to the nearest whole number

Answers

Answer:

9

Step-by-step explanation:

8 5/6

5/6 is close to 1 so it will round up

8+1 = 9

8 5/6 rounds to 9

Answer:

[tex]9[/tex]

Step-by-step explanation:

Step 1:  Round [tex]8\frac{5}{6}[/tex] to the nearest whole number

In order to round up, the fraction needs to be either 1/2 or greater than 1/2.  In our case, it is greater than half therefore we will round up to 9.

Answer:  [tex]9[/tex]

1. Which expression is equivalent to 9k + 16? Explain why.
A 4 + 5k + 10 +6
B 4 + 3k + 2k + 10 +6
C2k +7 + 10 + 6
D 3k + 4k + 2k + 10 +6

Answers

Answer:

D

Step-by-step explanation:

3k +4k+2k+10+6

Collect like terms

9k +16

Answred Gauthmath

Answer:

D 3k + 4k + 2k + 10 +6

Step-by-step explanation:

A 4 + 5k + 10 +6 Combine like terms

5k+ 20  not equal

B 4 + 3k + 2k + 10 +6 Combine like terms

5k +20

C 2k +7 + 10 + 6  Combine like terms

2k + 23

D 3k + 4k + 2k + 10 +6  Combine like terms

9k+ 16

Assume that the wavelengths of photosynthetically active radiations (PAR) are uniformly distributed at integer nanometers in the red spectrum from 640 to 680 nm. What is the mean and variance of the wavelength distribution for this radiation?

Answers

Renewable Energy Division–CIEMAT, 28040 Madrid, Spain
2
E.T.S.I. Agronómica, Alimentaria y de Biosistemas, Universidad Politécnica de Madrid, 28040 Madrid, Spain
3
CRETUS Institute, Department of Chemical Engineering, University of Santiago de Compostela, 15782 Santiago de Compostela, Spain
*
Author to whom correspondence should be addressed.

Pls answer this 7th question in full explanation​

Answers

Answer:

80

Step-by-step explanation:

Objective: Supplementary Angles.

Supplementary Angles are Angles that add up to 180.

In the problem, Two angles add up to 180. We don't know Angle A and we know Angle B.

Let set up the equation

Let x represent the measure of Angle A and x+20 represent the measure of Angle B

[tex]x + x + 20 = 180[/tex]

Combine Like Terms

[tex]2x + 20 = 180[/tex]

Apply Basics Rules of Algebra

[tex]2x = 160[/tex]

[tex]x = 80[/tex]

This means angle A measure 80 degrees

Which of the following describes an angle with a vertex at Z?

Answers

B is the answer and why is bc I took the quiz

A tank has the shape of an inverted circular cone with height 8 m andbase radius 2 m. It is filled with water to the top. Find the integralfor the work required to empty the tank by pumping all of the waterto the top of the tank. DoNOTcompute the integral. (The densityis 1000 kg/m3.)

Answers

Answer:

Step-by-step explanation:

I'll try to make this make as much sense as possible. If we have a cone with a liquid in it, this liquid takes up volume. Therefore, our main equation, at least at first, is to find the volume. This is because if we pump the liquid out of the tank, the thing that changes is the amount of liquid in the tank which is the tank's volume. The formula for the volume of a circular cone is

[tex]V=\frac{1}{3}\pi r^2h[/tex]  and here's what we know:

r = 2 and h = 8. The formula for volume has too many unknowns in it, so let's get the radius in terms of the height and sub that in so we only have one variable. The reason I'm getting rid of the radius is because in the problem we are being asked how much work is done by pumping the liquid to the top of the tank, which is a height thing. Solve for r in terms of h using proportions:

[tex]\frac{r}{2}=\frac{h}{8}[/tex] and solve for r:

[tex]r=\frac{2}{8}h =\frac{1}{4}h[/tex] so we will plug that in and rewrite the equation:

[tex]V=\frac{1}{3}\pi(\frac{1}{4}h)^2h[/tex] and simplify it til it's a simple as it can get.

[tex]V=\frac{1}{3}\pi(\frac{1}{16}h^2)h[/tex] and

[tex]V=\frac{\pi}{48}h^3[/tex] and since the volume is what is changing as we pump liquid out, we find the derivative of this equation.

[tex]\frac{dV}{dt}=\frac{\pi}{48}*3h^2\frac{dh}{dt}[/tex] and of course this simplifies as well:

[tex]\frac{dV}{dt}=\frac{\pi}{16}h^2\frac{dh}{dt}[/tex]

Work is equal to the amount of force it takes to move something times the distance it moves. In order to find the force it takes to move this liquid, we need to multiply the amount (volume) of liquid times the weight of it, given as 1000 kg/m³:

F = [tex]1000(\frac{\pi}{16}h^2\frac{dh}{dt})[/tex] and the distance it moves is 8 - h since the liquid has to move the whole height of the tank in order to move to the top of the 8-foot tank. That makes the whole integral become:

[tex]W=\int\limits^8_0 {1000(\frac{\pi}{16}h^2(8-h)) } \, dh[/tex] and we'll just simplify it down all the way:

[tex]W=62.5\pi\int\limits^8_0 {8h^2-h^3} \, dh[/tex] and you're done (except for solving it, which is actually the EASY part!!)

William's assembly unit has decided to use a p-Chart with 2-sigma control limits to monitor the proportion of defective castings produced by their production process. The quality control manager randomly samples 150 castings at 10 successively selected time periods and counts the number of defective castings in the sample.

Sample Defects
1 9
2 14
3 9
4 9
5 13
6 8
7 12
8 10
9 12
10 11

Required:
a. What is the Center Line of the control chart?
b. What value of z should be used to construct the control chart?
c. What is the Upper Control Limit?
d. What is the Lower Control Limit?

Answers

Answer: attached below is the missing p chart

a)  0.07133

b)  2

c)  0.098

d) 0.045

Step-by-step explanation:

sample size = 150 castings

number of periods = 10

a) Determine the center Line of the control chart

( 0.06 + 0.0933 + 0.06 + 0.06 + 0.0867 + 0.0533 + 0.08 + 0.067 + 0.08 + 0.073) / 10

mean = 0.07133

standard deviation = 0.01335

b) Determine the value of Z to be used

Given that we are using 2sigma limits .

the value of Z to be used = 2

c) Upper limit control

= mean value +  z-value * std

= 0.0713 + 2*0.01335 =  0.098

d) Lower Control Limit

= mean value - z-value * std

= 0.0713 - 2*0.01335 = 0.045

What is the area of the triangle formed from (0,-3), (0,4), and (4,-3)?
A. 24 square units
B. 48 square units
C. 14 square units
O D. 6 square units

Answers

Answer - A
Explanation-

I tried everything from adding to dividing, subtracting, multiplying but still no correct answer. Can someone help me out here please? Thank you!

Answers

Answer:

a)125/291

b) 48/73

Step-by-step explanation:

a) total of yes/total asked

b) total above average yes/ total above average (yes and no)

Answer:

See explanation. You didn't specify on whether the problem asks for a fraction or decimal, so I put both decimal and fraction.

Step-by-step explanation:

First we answer a:

Total amount of people polled is 291. Number of people who wear glasses is: [tex]48 + 51 + 26 = 125[/tex]

Divide to get the proportion: [tex]\frac{125}{291}[/tex] which is also equal to: 0.4295532646

Then we answer b:

b asks for the proportion of all above average readers who wear glasses, so the total number would be: [tex]48 + 25 = 73[/tex]. The number of above average readers who wear glasses is then 48.

We then get the proportion: [tex]\frac{48}{73}[/tex], which is also equal to 0.6575342466.

Question 1 of 5
A community orchestra is losing money. They have always sold tickets for
$12, but they decide to increase the price by $3. For their next concert, they
sell 200 tickets at the increased price.
Select the expression representing the amount of money earned from ticket
sals.
A. 200(12-3)
B. 200(12) + 3
C. 200(12+3)
D. 200(12) - 3

Answers

Answer:

200 (12+3)

Step-by-step explanation:

They sold 200 tickets at a price of (12+3)

200 (12+3)

C 200(12+3) because you’re adding so A and D aren’t correct so you’re left with B and C but for B you won’t just add 3 to 200(12) and that’s not what your looking for so the answer is C.

In another case, p and 2p are the first and second term respectively of an arithmetic progression. The nth term is 336 and the of the first n terms is 7224. Write down two equations in n and p and hence find the values of n and p​

Answers

Consecutive terms in this sequence differ by p.

First term: p

Second term: p + p = 2p

Third term: 2p + p = 3p

and so on. It follows that the n-th term satisfies

np = 336

Presumably you meant to say the "sum of the first n terms" is 7224, which is to say

p + 2p + 3p + … + np = 7224

which can be rewritten as

p (1 + 2 + 3 + … + n) = 7224

p (n (n + 1)/2) = 7224

n (n + 1) p = 14,448

Substitute the first equation in the second one and solve for n :

336 (n + 1) = 14,448

n + 1 = 43

n = 42

Now solve for p :

42p = 336

p = 8

URGENT PLZ HELP
Find the arc length of semi circle with diameter of 18

Answers

Answer:

Step-by-step explanation:

The formula to find arc length is

[tex]AL=\frac{\theta}{360}*\pi d[/tex] where theta is the measure of the central angle and d is the diameter. If we are dealing with a semicircle, the measure of the central angle is 180 degrees. Filling in:

[tex]AL=\frac{180}{360}*\pi (18)[/tex] which simplifies a bit to

[tex]AL=\frac{1}{2}*\pi (18)[/tex] and a bit more to

AL = 9π. That answer is obviously in terms of π; if you need it in terms of whatever your measurement is (feet, inches, cm, etc.) the answer would be, rounded to the nearest tenth, 28.3 units

7/9 - 2/3 and 2/3 - 1/6

Answers

Answer:

The answer is 1/9 and 1/2

The answer is 1/9 and 1/2

The function above models hhh, the height of a flower pot in meters, ttt seconds after it falls from a fourth floor balcony. What is the height of the flower pot, in meters, 333 seconds after it falls

Answers

Answer:

See explanation

Step-by-step explanation:

The question is incomplete, as the function is not given.

However, I will give a general rule.

From the question, we understand that the question requires the value of h(3)

Assume:

[tex]h(t) = 20 - 4t[/tex]

Then:

[tex]h(3) = 20 - 4*3[/tex]

[tex]h(3) = 20 - 12[/tex]

[tex]h(3) = 8[/tex]

Question 7(Multiple Choice Worth 1 points)
(07.02 MC)
Jason has two bags with 6 tiles each. The files in each bag are shown below
1
2
3
4
5
6
Without looking, Jason draws a file from the first bag and then a file from the second bag What is the probability of Jason drawing the file numbered 5 from the first bag and an odd file from the second bag?
0

o

Answers

Answer:a.3/6

Step-by-step explanation:

Because there’s a total of 12 files in each bag which is 6 in each

I need help with this​

Answers

Answer:

D. Rotation reflection is the right answer

Answer:

Rotation, reflection

Step-by-step explanation:

R and I are equal so if you rotate clockwise you'll see I is in the top left and R would be in the bottom left. By reflecting, it's like flipping a pancake. R will now be in the in the top left on top of I.

(It's kind of weird to explain) Sorry if that was confusing.

A G.P is such that the 3rd term minus a first term is 48. The 4th term minus 2nd term 144. Find: (i) Common ratio ii) The first term (ii) 6th term of the sequence​

Answers

Answer:

Step-by-step explanation:

r is the common ratio.

Third term minus first term is 48.

a₃ - a₁ = 48

a₃ = a₁r²

a₁r² - a₁ = 48

a₁(r²-1) = 48

r²-1 = 48/a₁

Fourth term minus second term is 144.

a₄ - a₂ = 144

a₂ = a₁r

a₄ = a₁r³

a₁r³ - a₁r = 144

a₁r(r²-1) = 144

r²-1 = 144/(a₁r)

48/a₁ = 144/(a₁r)

r = 3

:::::

r²-1 = 48/a₁

a₁ = 6

:::::

a₆ = a₁r⁵ = 1458

(i) The common ratio for the given condition is 3.

ii) The first term of the sequence is 6.

iii) The 6th term of the sequence​ is 1458.

What is a sequence?

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

Divergent sequences are those in which the terms never stabilize; instead, they constantly increase or decrease as n approaches infinity,

It is given that a  is a geometric progression such that the 3rd term minus a first term is 48. The 4th term minus the 2nd term 144.

Each number following the first in a geometric sequence is multiplied by a particular number, known as the common ratio.

As the third term minus the first term is 48.

a₃ - a₁ = 48

a₃ = a₁r²

a₁r² - a₁ = 48

a₁(r²-1) = 48

r²-1 = 48/a₁

The fourth term minus the second term is 144.

a₄ - a₂ = 144

a₂ = a₁r

a₄ = a₁r³

a₁r³ - a₁r = 144

a₁r(r²-1) = 144

r²-1 = 144/(a₁r)

48/a₁ = 144/(a₁r)

r = 3

r²-1 = 48/a₁

a₁ = 6

a₆ = a₁r⁵ = 1458

Thus the common ratio for the given condition is 3, the first term of the sequence is 6 and the 6th term of the sequence​ is 1458.

Learn more about the sequence here:

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find the area of a semicircle whose radius is 2.4 cm​

Answers

Answer:

15.072

Step-by-step explanation:

Pls Mark Brainiest okay

Answer:

2.88 pi or approximately 9.0432 cm^2

Step-by-step explanation:

The area of a semicircle is 1/2 the area of a circle

A = 1/2 pi r^2

A = 1/2 pi ( 2.4)^2

A = 2.88 pi cm^2

If we use 3.14 as an approximation for pi

A = 2.88 * 3.14

A =9.0432 cm^2

The mean examination mark of a random sample of 1390 students is 67% with a standard deviation of 8.1%.
How many students scored above 80%? (Round to the nearest student)

Answers

Answer:

76 students scored above 80%.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The mean examination mark of a random sample of 1390 students is 67% with a standard deviation of 8.1%.

This means that [tex]\mu = 67, \sigma = 8.1[/tex]

Proportion above 80:

1 subtracted by the p-value of Z when X = 80, so:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{80 - 67}{8.1}[/tex]

[tex]Z = 1.6[/tex]

[tex]Z = 1.6[/tex] has a p-value of 0.9452.

1 - 0.9452 = 0.0548.

Out of 1390 students:

0.0548*1390 =  76

76 students scored above 80%.

This is a list of the heights ( each nearest cm ) of 12 children

150 134 136 139 131 141

132 134 136 137 150 146

Select the type of the data.

Discrete


Continuous


Categorical


Qualitative

choose one

NO FAKE ANSWERS

FIRST MARKED BRAINLIST

Answers

qualitative

Step-by-step explanation:

b cos the question is in quality format

Answer:

cutee!

SUP???

Hiii friend :]

cuteee~!

prettyyy

its not telling me how to do this, please help

Answers

Step-by-step explanation:

Actually, it tells you exactly what to do.

First, translate, i.e., move over, the coordinates up by 3:

[tex](1, 4)\rightarrow (1+3, 4+3) = (4, 7)[/tex]

Then reflect this point about the x-axis and to do this,

[tex](x, y) \rightarrow (x, -y)[/tex]

[tex](4, 7) \rightarrow (4, -7)[/tex]

which of the following tables represents an inverse variation between x and y​

Answers

Answer:

I think that d is the answer

Explain how to factor the following examples.

A). 4x^4+10x^3+2^2


B). X^2+13x+42


Answers

Answer:

A). 2x^2(2x^2 + 5x + 1)

B). (x + 6)(x + 7)

Step-by-step explanation:

A). 4x^4+10x^3+2^2

I assume the problem is

4x^4 + 10x^3 + 2x^2

Look at he number parts, 4, 10, 2. They have a common factor of 2.

Now look at the variable parts, x^4, x^3, x^2. They have a common factor of x^2.

We factor out 2x^2 from every term.

4x^4 + 10x^3 + 2x^2 =

= 2x^2(2x^2 + 5x + 1)

B). x^2 + 13x + 42

We need to find two numbers whos product is 42 and whose sum is 13. The numbers are 6 and 7.

x^2 + 13x + 42 =

= (x + 6)(x + 7)

Which equation is true?

f of negative 10 = 1
f of 2 = negative 10
f of 0 = 6
f of 1 = negative 10

Answers

Answer:

f(0) = 6

Step-by-step explanation:

Complete question:

The function f (x) is given by the set of ordered pairs 1,0 (-10,2), (0,6) (3,17) (-2,-1) which equation is true

f(-10)=1

f(2)=-10

f(0)=6

f(1)=-10

Given the coordinate (x, y). This shows that the input function is x and the output function is y, i.e. f(x) = y

From the pair of coordinates given, hence;

f(1) = 0

f(-10) = 2

f(0) = 6

f(3) = 17

f(-2) = -1

From the following options, this shows that f(0) = 6 is correct

Answer:

f(0) = 6

Step-by-step explanation:

EDGE

About 9% of the population has a particular genetic mutation. 400 people are randomly selected. Find the mean for the number of people with the genetic mutation in such groups of 400

Answers

Answer:

36 people

Step-by-step explanation:

The expected value E(X) = mean of sample = np

Where, p = population proportion, p = 9% = 0.09

n = sample size, = 400

The mean of the number of people with genetic mutation, E(X) = np = (400 * 0.09) = 36

36 people

Which of the following answer choices correctly shows the graph of y=−2x+5?

Answers

The graph of the linear function y = -2x + 5 is attached below.

Graph of Linear Function

A linear function is a type of function that describes a relationship between two variables in which the output of the function is directly proportional to the input. It is a type of function that follows a straight-line pattern when graphed. Linear functions can be expressed in the form of an equation, such as y = mx + b, where m is the slope of the line, and b is the y-intercept.

The linear function given is y = -2x + 5

In this function, the slope of the line is -2 and the y-intercept is 5

This shows that the graph will pass through the y-axis at 5 which is a straight line.

Kindly find attached graph below.

Learn more on graph of linear function here;

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The temperature at 5 a.m. was −7.4°C. By 9 a.m., the temperature was −4.7°C. How much warmer was the temperature at 9 a.m.?

Answers

Answer:

2.7°C.

Step-by-step explanation:

If it was -7.4°C. at 5 am, then -4.7°C. at 9am, then the temperature rose by 2.7°C.

Proof:

-7.4

-4.7

--------

2.7

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