Add the following complex numbers:
(6 - 21) + (11 +61)

Answer:

0

Step-by-step explanation:

9x-18=3(3x-6)

3(3x-6)=9x-18

9x-18=9x-18

9x-9x=0

-18+18=0

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

9x - 18 = 3 (3x - 6)

The equation 9x - 18 = 3 (3x - 6) has infinitely many solutions.

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

Example:

2x + 3 = 5

2 x 1 + 3 = 5

2 + 3 = 5

5 = 5

Where x = 1 is a solution.

We have,

9x - 18 = 3 (3x - 6)

9x - 18 = 9x - 18

Whatever value we put for x we will always get the same in both sides of the equation which means the equation is satisfied.

We see that the equation is equivalent.

This means the equation will have infinitely many solutions.

Thus,

The equation 9x - 18 = 3 (3x - 6) has infinitely many solutions.

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Answer:

50 questions.

Step-by-step explanation:

if you divide 100 by 49 you get 2.04 round down, each question is 2 points per question and the student got a 98% then just multiply 49 by 2 just to make sure, then go up. 50 times 2 is 100%, so the answer is 50 questions

Answer:

Step-by-step explanation:

so we can use [tex]t^{2}[/tex] + 25  as one expression and the find the distance between the points and set the expression equal to that number.  That's our strategy.

dist = the square root  of [tex]x^{2}[/tex]  + [tex]y^{2}[/tex]  

where x and y are the change in x2 to x1 and y2 to y1

P1 = ( -3, -5)

P2 = (2, 7 )

dist = square root of (  [2 -(-3) ]^2  + [7-(-5)]2)

dist = sq rt  ( 5^2 + 12^2 )

dist = sq rt ( 25 + 144)

dist = sq rt (169)

dist = 13

now set our eq.  equal to that number

[tex]t^{2}[/tex] + 25 = 13

[tex]t^{2}[/tex] = -12

this is looking kinda bad, do you know complex numbers?

t = 0 + j 3.46410

hmmm  I'm wondering if you've  left out .. or forgotten some thing in the question?   :/

Answer:

Step-by-step explanation:

3a)

find side HP  , let's set side HP = c in the law of cosines formula

then

c = sq rt [ 23^2 + 12^2 - 2*12*23*cos(117) ]

c = sq rt [ 529 + 144 - (-250.6027559) ]

c = sq rt [ 673 + 250.6027559 ]

c = sq rt [ 923.602755 ]

c = 30.39

then

HP = 30.4  ( rounded to nearest 10th )

3b)

let PR = c, then law of cosines is (we need angle Q also 180=24+97+Q is 59°

c = sq rt [ 9^2 + 22^2 - 2*9*22*cos(59) ]

c = sq rt [ 81 + 484 -396*0.5150380 ]

c = sq rt [ 565 - 203.955 ]

c = sq rt [ 391.04495]

c = 19.7748

PR = 19.8  ( rounded to nearest 10th )

3c)

they want us to find ∠B,   in the formula for cosines ∠B is really ∠C, it's a bit confusing.. I'm sure they did that on purpose to mess people up.  Kind of underhanded  :/    Tell the teacher that you're "appalled" at the deviousness of the test  :/   stage a protest against math that teaches treachery  :P  storm the principals/ dean's  office with paper airplanes and pictures of anime   :DDD  okay back to math.

a=28

b=17

c=15

since we want angle B then the formula looks like

B= arcCos ( a^2 + c^2 - b^2 / 2*a*c)  so we'll avoid messing up the which side is which ... by setting up the formula this way   .. got it?

B = arcCos [28^2 + 15^2 - 17^2 / 2*28*15]

B = arcCos[784 + 225 - 289 /840 ]

B = arcCos[720/ 840]

B = arcCos[0.85714285]

B = 31.0027 °

that it came out so close to an integer I'm pretty sure it's right

∠B = 31 .0 °  ( rounded to the nearest 10th )

3d)

find ∠A

set it up carefully again, they are asking us to move the variable around again

a = 18

b= 28

c= 12

then the formula looks like

∠A = arcCos[ b^2 + c^23 - a^2 / 2*b*c ]

∠A = arcCos[28^2 + 12^2 - 18^2 /2*28*12 ]

∠A = arcCos[784 + 144 -324 / 672 ]

∠A = arcCos[604/672]

∠A = arcCos[0.8988095]

∠A =25.99797 °

∠A =26.0 °  ( rounded to nearest 10th)

[tex]\frac{1}{3}[/tex] yessssss sirr

Answer:

It would be 100 degrees.

Step-by-step explanation:

Sorry no one answered sooner! Hope i helped!

Answer: Alex’s times for running a mile are Normally distributed with a mean time of 5.28 minutes and a standard deviation of 0.38 seconds. Chris’s times for running a mile are Normally distributed with a mean time of 5.45 seconds and a standard deviation of 0.2 seconds. Ten of Alex’s times and 15 of Chris’s times are randomly selected. Let x Overbar Subscript Upper A Baseline minus x Overbar Subscript Upper C represent the difference in the mean times for Alex and Chris. Which of the following represents the shape of the sampling distribution for x Overbar Subscript Upper A Baseline minus x Overbar Subscript Upper C?

Normal, because both population distributions are Normal.  

Uniform, because the both sample sizes are less than 30.

Skewed right, because the difference in times cannot be negative.

Skewed left, because the sample sizes are less than 30 and the sampling variability is unknown.

Step-by-step explanation: Can someone tell me the answer?

Skewed left, because the sample sizes are less than 30 and the sampling variability is unknown.

Alex’s times for running a mile are Normally distributed with a mean time of 5.28 minutes and a standard deviation of 0.38 seconds.

Chris’s times for running a mile are Normally distributed with a mean time of 5.45 seconds and a standard deviation of 0.2 seconds.

Ten of Alex’s times and 15 of Chris’s times are randomly selected. Let x Overbar Subscript Upper A Baseline minus x Overbar Subscript Upper C represent the difference in the mean times for Alex and Chris.

The standard deviation is a statistic that measures the dispersion of a dataset relative to its mean and is calculated as the square root of the variance.

Normal, because both population distributions are Normal.  

Uniform, because both sample sizes are less than 30.

Skewed right, because the difference in times cannot be negative.

Skewed left, because the sample sizes are less than 30 and the sampling variability is unknown.

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Answer:

Step-by-step explanation:

Answer:

6i(9i)

Step-by-step explanation:

Answer:

nota entonces jwbsbsbwhe de un 2

Answer:

AGREE!

Step-by-step explanation:

"I agree with Lin, she used the correct formula to get this answer"

Answer:

95

Step-by-step explanation:

Answer:

The number of adults tickets sold equals 52.

Step-by-step explanation:

First, we need to establish the system of equations:

x= number of adults tickets sold

y= number of kids tickets sold

10x + 6y= 928

x + y=120

Now, we isolate x in one equation and change it in the other to obtain its value:

x= 120 - y

10(120 - y) + 6y = 928

1,200 - 10y + 6y = 928

272 = 4y

68 = y

x= 120 - 68= 52

Answer:

n = -8

Step-by-step explanation:

Answer:

-8

here's the solution

5(n - 4) = -60

5n - 20 = -60

5n = -60+20

5n = -40

n = -40/5

n= -8

hope it helps

Answer:

the answer is 0.1882

Answer:

A

Step-by-step explanation:

[tex]\frac{3}{11} = 0.2727272727[/tex]

27 is repeating so you draw a line over the number

Answer: 0.27 thats the answer hope you pass your grade

In the given function number of terms is 5.

Polynomials are algebraic formulas with any number of terms joined by addition or subtraction. A term is a number, a variable, or a product of a number and one or more exponentiated variables. Similar words (variables raised to the same power) can be joined to simplify a polynomial.

Given a function f(x) = x4 + 2x3 – 13x2 – 14x + 24 which has 5 Non-Zero coefficients. Therefore the number of terms is 5 in the given Function.

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9514 1404 393

Answer:

  dollars per hour

Step-by-step explanation:

If m is the slope, the units of m can be found by considering the units of x and y.

  y is in dollars

  x is in hours

Then from the point of view of units, we have ...

  dollars = m × hours

  m = dollars/hours

The slope in the equation is the rental charge in dollars per hour.

Answer:

1

Step-by-step explanation:

1+19=20

so only 1 visit is available if they only have $20 to use.

Answer:

1

Step-by-step explanation:

19+1=20

Answer:

61/60

Step-by-step explanation:

answer:

61 / 60

step-by-step explanation:

5 / 12 + 3 / 5

= 25 / 60 + 36 / 60

= 61 / 60

Answer:

a) The percentage change in the combined butterfly and bee population was a decrease of 5%.

b) The butterfly population in January was 210.

Step-by-step explanation:

In January, the ratio of the number of butterflies to the number of bees in a garden was 7 : 3.

This means that:

[tex]\frac{x}{y} = \frac{7}{3}[/tex]

In which x is the number of butterflies and y is the number of bees.

In February, the butterfly population decreased by 20% while the bee population increased by 30%.

This means that:

[tex]\frac{x}{y} = \frac{7*(1-0.2)}{3*(1+0.3)} = \frac{7*0.8}{3*1.3} = \frac{5.6}{3.9}[/tex]

(a) What was the percentage change in the combined butterfly and bee population?

January: 7 + 3 = 10

February: 5.6 + 3.9 = 9.5

Change

[tex]100*\frac{9.5-10}{10} = -\frac{50}{10} = -5[/tex]

This means that the percentage change in the combined butterfly and bee population was a decrease of 5%.

(b) If there were 168 butterflies left in February, what was the butterfly population in January?

February is 80% of January, for the population of butterflies. So

[tex]0.8x = 168[/tex]

[tex]x = \frac{168}{0.8}[/tex]

[tex]x = 210[/tex]

The butterfly population in January was 210.

Answer:

-3

Step-by-step explanation:

this is x equals to -3

we can divide the 4 to other side

Answer:    it took him 9 hours

Answer:

he won 25 games

Step-by-step explanation:

Answer: -3/4

Step-by-step explanation:

Answer:

1:4

Step-by-step explanation:

because the ratio go first