LOS ANGULOS CONSECUTIVOS SON COMPLEMENTARIOS?

Answer:

He did not apply the distributive property correctly for 4(1 + 3i).

Step-by-step explanation:

4 (1 + 3 i) minus (8 minus 5 i)

4 + 12i - 8 + 5i

-4 + 17i

Answer:

A. He did not apply the distributive property correctly for 4(1 + 3i).

Step-by-step explanation:

edg 2020

Answer:

The probability that x is between 60 and 110.

P(60 < x<110) = 0.6436

Step-by-step explanation:

Step( i ) :-

Given data the random variable 'X' will have a distribution that is approximately normal with mean μ = 83 and standard deviation σ = 27.

Mean of the Population  'μ' = 83

Standard deviation of the Population 'σ' = 27.

Step(ii):-

Given X =60

[tex]Z_{1} = \frac{x-mean}{S.D} = \frac{60-83}{27} = -0.851[/tex]

Step(iii):-

Given X = 110

[tex]Z_{1} = \frac{x-mean}{S.D} = \frac{110-83}{27} = 1[/tex]

The Probability that between 60 and 110

P(60 < x<110) = P( -0.851 < z< 1)

                      =  P( Z≤1) - P(Z≤ -0.851)

                     = (0.5 + A(1)) - (0.5- A(-0.851))

                    = (0.5 +0.3413)- (0.5 - 0.3023) ( check normal table yellow mark)

                    = 0.8413 - 0.1977

P(60 < x<110) = 0.6436

Final answer:-

The probability that x is between 60 and 110.

P(60 < x<110) = 0.6436

Answer:

 y = -√(x -5) +2

Step-by-step explanation:

This looks like a square root function reflected vertically, and translated up 2 and right 5.

 y = -√(x -5) +2

_____

g(x) = a·f(x -h) +k   represents a translation of f(x) by (h, k) and a vertical scaling by a factor of "a". If "a" is negative, the function is reflected across the x-axis.

Answer:

Acute.

Step-by-step explanation:

Using the Triangle Inequality Theorem you know that the sum of the lengths of two sides of a triangle are greater than the length of the third side.

Using this we can narrow it down that this DOES have a solution, since 10+12>15.

Now, we can determine if this triangle is a right triangle using the Pythagorean Theorem. C is the longest length.

If c^2= a^2+b^2, then it is a right triangle.

If c^2< a^2+b^2 then it is an acute triangle.

If c^2>a^2+b^2 then it is an obtuse triangle.

We can now substitute. (A and B are interchangeable, but C is the longest length.

A=10

B=12

C=15

A^2=100

B^2=144

C^2=255

We can now figure out that this triangle is acute because A^2+ B^2 (244) < C^2 (255).

Hope this helps!

Answer:

25%

Step-by-step explanation:

I'm not great at probability but the chances of rolling an odd number on one dice is 50%, so you should have to multiply 0.5 * 0.5 to get 0.25, or a percentage of 25%. Hope this helps :)

Answer:

(B)[tex]-2x^5+\dfrac{x^3}{2}+\dfrac{x}{4}+1[/tex]

–2x5 + StartFraction x cubed Over 2 EndFraction + StartFraction x Over 4 EndFraction + 1

Step-by-step explanation:

Given the polynomial: [tex]\dfrac{x}{4}-2x^5+\dfrac{x^3}{2}+1[/tex]

We are required to pick an equivalent polynomial which is in standard form.

A polynomial is in standard form when it is written in descending powers of x.

Therefore, rearranging the polynomial above, we have:

[tex]-2x^5+\dfrac{x^3}{2}+\dfrac{x}{4}+1[/tex]

The correct option is B.

The correct answer is B. –2x5 + StartFraction x cubed Over 2 EndFraction + StartFraction x Over 4 EndFraction + 1

hope you have a great day :D

Answer:A

Step-by-step explanation:

-112.84-54.14-(-29.18)

-112.84-54.14+29.18=-137.8

Answer:

Option A is correct.

Answer: y= 1/3 x + 5/3

Step-by-step explanation:

1= 1/3(-2) + b where b is the y intercept

  1=   -2/3 + B

+2/3   +2/3

B = 5/3

so we know the slope and the y- intercept

y= 1/3x + 5/3   check:   1=1/3(-2) +5/3

                                    1 =1

Slope intercept form: y = mx + b

m = slope

b = y-intercept

Since we know the slope and one point, we can solve for the y-intercept.

y = 1/3x + b

1 = 1/3(2) + b

1 = 2/3 + b

1 - 2/3 = 2/3 - 2/3 + b

1/3 = b

Now, put the final equation together.

y = 1/3x + 1/3

Best of Luck!

Answer:5^38

Step-by-step explanation:

5^23 x 5^15

5^(23+15)

5^38

Answer:

The height of the building: g

Distance from the building to the base of the ladder: 57

The length of the ladder: m

Angle the ladder makes with the building: k

Angle the ladder makes with the ground: 55

Step-by-step explanation:

Based off the location of the variables and numbers, the descriptions match where they are.

Hope that helps!

Answer:

400

Step-by-step explanation:

20 x 20= 400

Answer:

I'd say that if it is the total area square and half of the circle. the answer could be 557.08

Step-by-step explanation:

area of the square 20*20= 400

area of the circle= Pi*radio to the square divided by two cause its only the half of a circle so it is like 3.1416*10^2=100*3.1416=714.16/2=157.08

now we can sum up the square area and the circle

400+157.08= 557.08

I'm not actually sure itll depend if the wide and height of the square is the same. here im guessing that its 20 both. and another thing I didnt round the answer it was just that

Answer: y = 9x - 3

That's y=mx + b, the usual slope intercept form of a line with slope m and y intercept b.

Step-by-step explanation:

The equation of a line is y = mx + b, where m is the slope and b is the y-intercept. We know that m = 9 and b = -3, and when we plug those in, we get y = 9x - 3. Hope this helps!

Answer: an option is 2736

and we only have two possible solutions, the other is 6732

Step-by-step explanation:

we want to write a number:

a73b, where a and b are one digit numbers (0 to 9) in such way that the number is divisible by 36.

Now, we know that 36 is multiple of 6, so 6*6 = 36

The multiples of 36 are always even numbers, so we can discard all the odd options for b.

We also can discard the option a = 0, because we want a 4 digit number.

now, let's do it by brute force.

if a = 1, we have:

173b, now you can give b different values (only even values) and see if some of them is divisible by 36. You will find that none is.

if a = 2

273b

when b = 6, we have:

N = 2736, that is divisible by 36 as:

2736/36 = 79, so this is a multiple of 36.

now, you can keep changing the value of a and find all the different possible solutions.

if a = 3,

373b is not divisible by 36 for any value of b

if a = 4

473b  is not divisible by 36 for any value of b

if a = 5

573b  is not divisible by 36 for any value of b

if a= 6

673b  it is divisible by 36 when b = 2.

6732/36 = 187

if a = 7

773b  is not divisible by 36 for any value of b

if a = 8

873b  is not divisible by 36 for any value of b

if a = 9

973b  is not divisible by 36 for any value of b

So we only have two possible solutions

The different solutions this problem have are 2736 and 6732.

This is a part of a number which consists of numerals from 0 to 9.

a73b is the first number where a and b are one digit numbers (0 to 9) which is divisible by 36.

All multiples of 36 are always even numbers, so odd number options for b isn't considered.

If a = 2 when b = 6, we have:  it is divisible by 36 when b = 2.

N = 2736, which is divisible by 36 to give 76 hence it is a multiple of 36.

673b is divisible by 36 when b = 2.

N = 6732 which is divisible by 36 to give 187 hence it is a multiple of 36.

Hence, the two values are  2736 and 6732.

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Answer:

D.

Step-by-step explanation:

Rotation by 180 about O will map QSU onto itself.

Step-by-step explanation:

The answer as a decimal is 5.16666667

Answer:

The answer is 5

Step-by-step explanation:

It is 5 because when you subract a positive number to a negative number it is realy just adding them together so 4 1/3 - (-2/3) is the same as 4 1/3+2/3

Answer:

if your question is to find the vertical height of D, ans is 5

Step-by-step explanation:

Answer:

No. See below.

Step-by-step explanation:

No, Seth lost the plot at the end.

At x = 3,

y = 4x + 1 = 12 + 1 = 13

At x = -2,

y = 4x + 1 = -8 + 1 = -7

Therefore, the curves intersect at (3,13) and (-2,-7)

Answer:

x = 25

Step-by-step explanation:

Log10 ( x - 21 ) + Log10 ( x ) = 2,

Log10 ( ( x - 21 )x ) = 2,

( x - 21 )x = 100,

Simplify:

x^2 - 21x = 100,

x^2 - 21x - 100 = 0,

x = - ( -21 ) + √ ( -21 )^2 - 4 * 1 ( -100 )/2 * 1 : 25

                             and

x = - ( -21 ) + √ ( -21 )^2 - 4 * 1 ( -100 )/2 * 1 : -4

( x = 25 ) ⇒ true

( x = - 4 ) ⇒ false

Answer: x = 25

Answer:

5

Step-by-step explanation:

320 / 64 = 5

Answer:

If a coin is flipped three times, possible outcomes would be:

HHH

HHT

HTH

HTT

THH

THT

TTH

TTT

=> possible outcomes that will include exactly 2 tails:

HTT

THT

TTH

TTT

Hope this helps!

:)

Answer:

The answer is 3 or option B.

Step-by-step explanation:

I just answered the question.

????????????????????

24 drops of bubble bath

Step-by-step explanation:

this is because the ratio is .5 gallon:1 drop, so 12 gallons would be 24 drops. I hope this helps!

Answer:

F(-10)=186

Step-by-step explanation:

F(-10)=2(-10)^2+(-10)-4

F(-10)=2*100+(-14)

F(-10)=200-14

Therefore, F(-10)=186

Answer:

The answer is 186

Step-by-step explanation:

Answer:

12/48=1/4(Simplified)

Step-by-step explanation:

The probability that Kitzen’s name will be drawn twice is 1/23.

"The probability is the ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes".

For the given situation,

The table shows the number of students and the number of raffle tickets.

Kitzen's number of raffle tickets = 12

Ava's number of raffle tickets = 16

Sam's number of raffle tickets = 11

Josie's number of raffle tickets = 9

The event is that the Kitzen’s name will be drawn twice, n(e) = 2(12)

The total number of raffle tickets, n(s) = 48

Thus the probability that Kitzen’s name will be drawn twice,

[tex]P(e)=\frac{n(e)}{n(s)}[/tex]

⇒ [tex]P(e)=\frac{2(12)}{48}[/tex]

⇒ [tex]P(e)= \frac{1}{2}[/tex]

Hence we can conclude that the probability that Kitzen’s name will be drawn twice is 1/23.

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Answer:

The 95% confidence interval estimate for the population mean life of compact fluorescent light bulbs in this shipment is between 7,255 hours and 7,745 hours.

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{1-0.95}{2} = 0.025[/tex]

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

So it is z with a pvalue of [tex]1-0.025 = 0.975[/tex], so [tex]z = 1.95[/tex]

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 = 1.96*\frac{1000}{\sqrt{64}} = 245[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 7500 - 245 = 7255 hours.

The upper end of the interval is the sample mean added to M. So it is 7500 + 245 = 7745 hours.

The 95% confidence interval estimate for the population mean life of compact fluorescent light bulbs in this shipment is between 7,255 hours and 7,745 hours.

A means of the estimate numerical, the variation in that estimate is referred to as the confidence interval, therefore its value is "[tex][7255, 7745][/tex]".

[tex]95\%[/tex] C.I. for a mean lifetime is given by

[tex]= [ \overline{X} - \tau_{0.975} \frac{\sigma}{\sqrt{n}} , \overline{X} + \tau_{0.975} \frac{\sigma}{\sqrt{n}} ][/tex], where

[tex]\bar{X}[/tex] (sample mean) [tex]= 7500[/tex]

[tex]\sigma[/tex] (standard deviation)[tex]= 1000[/tex]

[tex]n = 64[/tex]

by putting the value into the above-given formula we get the value that is  [tex]= [7255, 7745].[/tex]

Find out more information about the confidence interval here:

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Answer:

1286.8

Step-by-step explanation:

Volume of a cylinder is pi(r²)(h)

The radius is 6.4 and the height is 10

Answer:

1286.1 units³

Step-by-step explanation:

V = πr²h

= 3.14 x 6.4 x 6.4 x 10

= 3.14 x 409.6

= 1286.144 units³

= 1286.1 units³

Multiplication is the process of multiplying. The amount of cereal that John will eat in 15 days is 50 ounces.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Given that John eats 20 ounces of cereal every 6 days. Therefore, the amount of cereal that John eats every 6 days is,

Amount of cereal in a day = 20 ounces / 6 days

                                           = (20/6) ounces in a day

Now, the amount of cereal that John will eat in 15 days is,

Amount of cereal in 15 days = 15 days × (20/6) ounces in a day

                                               = 50 ounces

Hence, the amount of cereal that John will eat in 15 days is 50 ounces.

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