The expression that is equivalent to this polynomial "x²+12" is option A. (x + 2√3i) (x — 2√3i)
How did we get the value?In mathematics, a polynomial is an expression consisting of variables and coefficients that concern only the operations of addition, subtraction, multiplication, and nonnegative integer exponents.
A. (x + 2√3i) (x — 2√3i)
= (x² + 2√3i)² (i² = -1)
= (x² - 12x (— 1)
= x² + 12
B. (x + 6i) (x - 6i)
= (x² - (6i)²
= x² + 36
C. (x + 2√3)²
= x² + 4√3x + 12
D. (x + 2√3) (x - 2√3)
= x² - (2√3)²
= x² - 12
Therefore, the correct answer is as given above. Option A. (x + 2√3i) (x — 2√3i) is equivalent to the given polynomial.
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The complete question goes thus:
Which expression is equivalent to this polynomial?
x²+12
OA. (x + 2√3i) (x — 2√3i)
B. (x+6)(x-61)
Oc. (x + 2√3)2
OD. (x + 2√3) (x - 2√3)
johnathannes brahms destoryed or left many because of his work unplublished because
A. He didnt want to be sucessful
B. He thought they were too good to publish
C. He was a perfectionist and was never satisfied with them.
Answer asap for brainlist
Mary has the qualities of being a team leader.
Here, we have,
Team leaders upload any other stage of control. They’re employed to persuade and construct relationships, to make matters happen. Team chief’s to-do lists may be vast, however through categorizing them, it’ll come up with readability approximately the reason of your job.
A group chief has an outline of a set of humans, motivates, offers guidance and video display units performance. It is probably an professional identify alternate or a delegation exercising out of your management, however both way, being a group chief separates you out of your friends as a depended on individual to manipulate a assignment or institution of humans.
Team leaders and executives have exceptional responsibilities. Unlike managers, group leaders won’t have the authority to direct, alternate plans, put in force or construct their groups via hiring and firing. Their position is mostly a motivational and inspirational one inside an organization. They’re professional dating developers and mediators, liaising among the humans and management.
Thus this are the qualities of team leader.
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complete question;
Mary is a perfectionist . She loves participating on teams and often takes on too many tasks because she wants to ensure that they are done on time and on budget.
Find the height of the rectangular prism (You should have at least 3 steps shown in your work)
Answer:
[tex]12 \times 10 \times h = 3600[/tex]
[tex]120h = 3600[/tex]
[tex]h = 30[/tex]
The height is 30 millimeters.
Solve the following for θ, in radians, where 0≤θ<2π.
2cos2(θ)−8cos(θ)−1=0
Select all that apply:
1.07
1.69
4.59
2.49
2
2.33
Answer:correct answers 1.69
4.59
Step-by-step explanation:
We can solve this quadratic equation in cos(θ) by using the substitution u = cos(θ):
2u^2 - 8u - 1 = 0
Now we can use the quadratic formula to solve for u:
u = (-b ± sqrt(b^2 - 4ac)) / 2a
where a = 2, b = -8, and c = -1. Substituting these values, we get:
u = (8 ± sqrt(8^2 - 4(2)(-1))) / 2(2)
u = (8 ± sqrt(72)) / 4
u = 2 ± sqrt(18)
Therefore, either:
Find the interquartile range using the following.
Minimum: 1
Q1: 3
Median: 5
Q3: 7
Maximum: 9
A. 8
B. 4
C. 5
D. 10
Answer: B. 4
Step-by-step explanation: The interquartile range is just the distance in between the upper and lower quartiles. Therefore, to find the interquartile range, the equation in this case is 7 - 3, which equals 4.
Can you help me solve this asap
Based on the equation, we own 100 shares of JP Morgan Emerging Markets Bond Fund and 900 shares of Fidelity Conservative Income bond fund.
How to explain the equationThe portfolio is worth $10,000 in total:
$100x + $10y = $10,000
We can now use elimination to find x:
$1100x + $110y = $110,000 -($100x + $10y = $10,000)
$1000x = $100,000 x = 100
As a result, we own 100 shares of JP Morgan Emerging Markets Bond Fund. To solve for y, we can plug this number back into the original equation:
$100x + $10y = $10,000
$100(100) + $10y = $10,000
$10y = $9,000 y = 900
As a result, we have 900 shares of Fidelity Conservative Income bond fund
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PLEASE HELP (WILL GIVE BRAINLIEST)
Answer:
$5.50(2/3)π(6.5^3) = $3,163.45
$5.50(2/3)(3.14)(6.5^3) = $3,161.85
$3,161.85 is the correct answer.
20x-12 factor out gcf in order to rewrite expression
Help help help hehehheheheh
Answer:
Step-by-step explanation:
your supposed to learn things in class pay attetion
if u were to flip a coin 15 times how many times will the coin land on tails
A set of data items is normally distributed with a mean of 500. Find the data item in this distribution that corresponds to the given z-score. z = -3, if the standard deviation is 80.
Answer:
260
Step-by-step explanation:
The z score for a normal distribution is given by the formula
[tex]z = \dfrac{X-\mu}{\sigma}[/tex]
where
X is the data point, μ is the mean and σ is the standard deviation
Given
Mean μ = 500
Standard deviation σ = 80
z-score = -3
and plugging in these values for z-score formula we get
[tex]-3 = \dfrac{X -500}{80}[/tex]
==>
-240 = X - 500
-240 + 500 = X
260 = X
or
X = 260
A sack of rice wieghs 50 kilos. What is the weight of 85 sacks of rice?
Answer:
4250 kilos
Step-by-step explanation:
Which ordered pair is a solution to the system? X>4 Y≥12
Some solutions for the given system of inequalities are:
(5, 12)
(6, 12)
(7, 13)
And so on.
Which ordered pair is a solution for the system?Here we have the following system of inequalities:
x > 4
y ≥ 12
We want to see which ordered pair, of the form (x, y), is a solution for the system.
A solution is a pair that makes both inequalities true.
So, x must be larger than 4.
y can be equal to 12, or larger than 12.
Then some solutions are:
(5, 12)
(6, 12)
(7, 13)
And so on.
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gingerbread house is shaped like the image below. How many square centimeters of frosting will take to cover the outside?
(NEED HELP!!!)
There are 32 cm² of frosting will take to cover the outside.
Given that;
Base of house = 2 cm
And, Height of house = 3 cm
Since, The shape of house is like a prism.
We know that;
Area of Prism is,
SA = 2B + ph,
where B, stands for the area of the base, p represents the perimeter of the base, and h stands for the height of the prism.
Hence, We get;
SA = 2 × (2 × 2) + 2 (2 + 2) × 3
SA = 8 + 24
SA = 32 cm²
Hence, There are 32 cm² of frosting will take to cover the outside.
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Find the surface area of the square pyramid (above) using its net (below)
Answer:
Step-by-step explanation:
the square base = 5 * 5 = 25
each of the triangular sides = 4*2.5=10
so… 25+(10*4)=25+40=65
Brooklyn needs to earn $14 more dollars to have $32. How much money does Brooklyn have now?
Identify the steps needed to write and solve an equation to solve the word problem. Select all that apply.
The variable, m, is equal to the amount of money Brooklyn has now.
The variable, m, is equal to the amount of money Brooklyn needs to earn.
The correct equation is 14 + m = 32.
The correct equation is 14m = 32.
To solve the equation, subtract 14 from both sides.
To solve the equation, divide 14 on both sides.
Answer:
A,C,E
Step-by-step explanation:
Answer:
a and c and e
Step-by-step explanation:
got it right on my home work
if u are given the midpoint of a segment and one endpoint find the other endpoint (6,2) (1,3)
The other endpoint is (11, 1).
We have,
Midpoint = (6, 2) and endpoint = (1, 3).
and, ratio of m: n = 1 :1
Using section formula
6 = ( 1 + a) / (1+1)
6 = (1+a)/2
1 + a = 12
a = 11
and, 2 = (3 + b) / (1+1)
2 = (b + 3) /2
b +3 = 4
b = 1
Thus. the other endpoint is (11, 1).
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a. The following is the input/output table for two industries X and Y. The values are in million of rupees.
Producers
X
Y
X
14
7
Users
Y
6
Final Demand
8
Total Output
28
18
11
36
Determine the outputs if the final demand changes to 20 for X and 30 for Y.
[3]
The outputs for industries X and Y will be 31 million and 43.2 million, respectively supposedly the final demand changes to 20 for X and 30 for Y.
How do we calculate?We will start with industry X.
The final demand for X hade an increment from 14 million to 20 million with an increase of 6 million, hence the final output of X must also increase by 6 million to make up for demand.
Users Final Producers
Demand X Y
X 14 7
Y 6 18
Total 20 25
The table tells us that for every additional million of final demand for X, the producers in industry X need to produce 0.5 million of output.
So the new total output for industry X is 28 + 3 = 31 million.
For industry Y
The same scenario occurred for Industry Y which had final output of 12 in order to meet the demand increment.
So the new total output for industry Y is 36 + 7.2 = 43.2 million.
In conclusion, the outputs for industries X and Y will be 31 million and 43.2 million, respectively, if the final demand changes to 20 for X and 30 for Y.
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When graphing the inequality y s 2x - 4, the boundary line needs to be graphed first. Which graph correctly shows the boundary line?
The graph that correctly shows the boundary line for y ≤ 2x − 4, is B. Graph B.
How to find the graph ?The inequality y ≤ 2x − 4, shows that the y - intercept is - 4. What this means is that the boundary line must pass through ( 0, - 4 ). As Graphs C and D do not cross ( 0, - 4 ), neither of them can be the boundary line.
Also, when representing an inequality on a graph, the signs of ≤ and ≥ are presented with a solid line. > and < are the ones presented with a broken line. This means that Graph A cannot the boundary line for the inequality.
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clara is running a bakery she has made a street sign to direct people to her bakery . She painted one of the post and sign. What is the painted area?8in,8in,5in, 60in, 4in
The painted area of the sign is approximately 324 square inches. This was calculated by finding the area of the pole, square signboard, and triangle portion of the signboard and adding them together.
To find the painted area, we need to find the area of the pole, the area of the square signboard, and the area of the triangular portion of the signboard.
Area of pole
The pole is a rectangular prism with height 60in and width 4in. Therefore, the area of the pole is:
60in x 4in = 240 sq. in.
Area of square signboard
The square signboard has a side length of 8in. Therefore, the area of the square signboard is:
8in x 8in = 64 sq. in.
Area of triangular portion of the signboard
The triangular portion of the signboard has a base of 8in and a height of 5in. Therefore, the area of the triangular portion of the signboard is:
(1/2) x 8in x 5in = 20 sq. in.
Total painted area
The total painted area is the sum of the area of the pole, the area of the square signboard, and the area of the triangular portion of the signboard. Therefore, the painted area is:
240 sq. in. + 64 sq. in. + 20 sq. in. = 324 sq. in.
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--The given question is incomplete, the complete question is given
" clara is running a bakery she has made a street sign to direct people to her bakery . She painted one of the post and sign. What is the painted area?8in,8in,5in, 60in, 4in "--
n + 8 => 14
what makes it false
6, 8, 22, or 10
Answer:6
Step-by-step explanation: It’s 6 because it’s only greater than, not greater than or equal to
Elijah can spend up to $23 on groceries. He wants to buy 3 pounds of tomatoes, 4 pounds of oranges, and x pounds
of lean ground beef. The tomatoes cost $1.35 per pound, the oranges $1.65 per pound, and the ground beef $4.94
per pound. Write an inequality that represents the possible number of pounds of ground beef, x, he can buy. Find
the value of x.
A. 1.35 x 3 +
B. 1.35 x 3 +
1.65 x 4 +
1.65 x 4 +
c.
1.35 x 3 + 1.65 x 4 +
D. 1.35 x 3 + 1.65 x 4 +
4.94x < 23; x<25
4.94x ≤ 23; x ≤ 25
4.94x >
23; x > 25
4.94x ≥
23;x ≥ 25
Answer1.35+ 4:
Step-by-step explanation:
A machine produces metal pieces that are cylindrical in shape. A sample of these pieces is taken and the diameters are found to be 1.01, 0.97, 1.03, 1.04, 0.99, 0.98, 0.99, 1.01, and 1.03 centimeters. Use these data to calculate three interval types and draw interpretations that illustrate the distinction between them in the context of the system. For all computations, assume an approximately normal distribution. The sample mean and standard deviation for the given data are ¯x = 1.0056 and s = 0.0246. (a) Find a 99% confidence interval on the mean diameter. (b) Compute a 99% prediction interval on a measured diameter of a single metal piece taken from the machine. (c) Find the 99% tolerance limits that will contain 95% of the metal pieces produced by this machine. (Complete step by step process)
This interval is wider than the confidence interval in part (a) and the prediction interval in part (b) because it is based on the entire population of metal pieces, not just a sample.
(a) To find a 99% confidence interval on the mean diameter, we can use the t-distribution with n-1 degrees of freedom since the population standard deviation is not known. The formula for the confidence interval is:
CI = x ± tα/2,s/√n
where x is the sample mean, s is the sample standard deviation, n is the sample size, and tα/2 is the t-value with (n-1) degrees of freedom for the desired level of confidence α.
Plugging in the values, we get:
CI = 1.0056 ± t0.005/2,0.0246/√9
= 1.0056 ± 0.025
= (0.9806, 1.0306)
Therefore, we can be 99% confident that the true mean diameter of the metal pieces produced by the machine is between 0.9806 and 1.0306 centimeters.
(b) To compute a 99% prediction interval on a measured diameter of a single metal piece taken from the machine, we can use the formula:
PI = x ± tα/2,s(1 + 1/n)√(1 + 1/n)
where x is the point estimate of the diameter (in this case, the sample mean), s is the sample standard deviation, n is the sample size, and tα/2 is the t-value with (n-1) degrees of freedom for the desired level of confidence α.
Plugging in the values, we get:
PI = 1.0056 ± t0.005/2,0.0246(1 + 1/9)√(1 + 1/9)
= 1.0056 ± 0.052
= (0.9536, 1.0576)
Therefore, we can be 99% confident that a single metal piece produced by the machine will have a diameter between 0.9536 and 1.0576 centimeters.
(c) To find the 99% tolerance limits that will contain 95% of the metal pieces produced by this machine, we can use the formula:
TL = x ± kσ
where x is the sample mean, σ is the population standard deviation (which is estimated by the sample standard deviation s), k is the number of standard deviations from the mean that will contain the desired percentage of the population (in this case, 95% or 1.96 standard deviations for a normal distribution).
Plugging in the values, we get:
TL = 1.0056 ± 1.96(0.0246)
= (0.9573, 1.0539)
Therefore, we can be 99% confident that 95% of the metal pieces produced by the machine will have diameters between 0.9573 and 1.0539 centimeters. This interval is wider than the confidence interval in part (a) and the prediction interval in part (b) because it is based on the entire population of metal pieces, not just a sample.
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The Sky Train from the terminal to the rental car and long term parking center is supposed to arrive every 8 minutes. The waiting times for the train are known to follow a uniform distribution.
What is the probability of waiting less than 2 minutes or more than 6 minutes?
The probability of waiting less than 2 minutes or more than 6 minutes for the Sky Train is 0.5 or 50%.
To calculate the probability of waiting less than 2 minutes or more than 6 minutes for the Sky Train from the terminal to the rental car and long term parking center, we need to find the probability of each event separately and then add them together.
The probability of waiting less than 2 minutes can be calculated as the ratio of the time interval from 0 to 2 minutes (2 minutes) to the total time interval of 8 minutes;
P(waiting less than 2 minutes) = (2 minutes) / (8 minutes) = 0.25
The probability of waiting more than 6 minutes can be calculated as the ratio of the time interval from 6 to 8 minutes (2 minutes) to the total time interval of 8 minutes;
P(waiting more than 6 minutes) = (2 minutes) / (8 minutes) = 0.25
Now, to find the probability of waiting less than 2 minutes or more than 6 minutes, we can add the two probabilities together;
P(waiting less than 2 minutes or more than 6 minutes) = P(waiting less than 2 minutes) + P(waiting more than 6 minutes)
= 0.25 + 0.25
= 0.5
Therefore, the probability of waiting less than 2 minutes or more than 6 minutes will be 0.5 or 50%.
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Ellie is going to see a movie and is taking her 2 kids. Each movie ticket costs $13 and there are an assortment of snacks available to purchase for $5 each. How much total money would Ellie have to pay for her family if she were to buy 4 snacks for everybody to share? How much would Ellie have to pay if she bought x snacks for everybody to share?
Total cost with 4 snacks:
Total cost with x snacks:
The total cost that Ellie would pay with 4 snacks is $59.
The total cost that Ellie would pay with x snacks is $29 + $5x.
What is the total cost?The first step is to determine the total number of people going to the movies. There are 3 people going to the movies.
The total cost spent by Ellie is the sum of the tickets and the total cost of the snacks.
Total cost = total cost of the tickets + total cost of the snacks
= (cost of one ticket x number of people going to the movie) + (number of snacks bought x price of one snack)
= (13 x 3) + ($5 x 4)
$39 + $20 = $59
Total cost if x snacks is bought: (13 x 3) + ($5 x x) = $39 + $5x
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The Jackson Hole Aerial Tram takes passengers from an elevation of 6311 ft to an elevation of 10,450 ft up the slope of Rendezvous Mountain in Wyoming. If the tram runs on a cable measuring 12,463 ft in length, what is the angle of incline of the tram to he nearest tenth of a degree?
The angle of incline of the tram is 19.4 degree.
According to the question:
h=(10450-6311)ft
= 4139 ft
We know that, sinθ=Opposite/Hypotenuse
So, sinθ=h/12463
sinθ= 4139/12463
sinθ= 0.3321
Solve the trigonometric equation by isolating the function and then taking the inverse. Use the period to find the full set of all solutions.
θ=19.39
θ≈19.4°
Therefore, the angle of incline of the tram is 19.4 degree.
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Select the correct answer. Which statement correctly describes this expression? |X^3| +5 A. the absolute value of three times a number added to 5 B. the cube of the sum of a number and 5 C. 5 more than the absolute value of the cube of a number D. the sum of the absolute value of three times a number and 5
The statement that correctly describes the expression |x^3|+5 is 5 more than the absolute value of the cube of a number.
Given this expression: |x^3|+5
| | = This sign means Absolute value,
x^3 = x³ = x × x × x
Hence, the statement that correctly describes the expression |x^3|+5 is : 5 more than the absolute value of the cube of a number.
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a rectangular prism has 312 cubes. The cubes have an edge length of 1/5 cm. What is the volume of this rectangular prism?
Answer:
[tex] {( \frac{1}{5}) }^{3} (312) = \frac{312}{125} = 2.496[/tex]
The volume of this rectangular prism is 2.496 cubic centimeters.
The volume of the rectangular prism is 2.496 cubic centimeters.
If the rectangular prism has 312 cubes with an edge length of 1/5 cm, we may calculate the total volume by multiplying the number of cubes by the volume of each cube.
V = x3 gives the volume of a cube with edge length x. Because the edge length, in this case, is 1/5 cm, the volume of each cube is (1/5)3 = 1/125 cm3.
We multiply the number of cubes by the volume of each cube to determine the volume of the rectangular prism:
312 cubes (1/125 cm3/cube) = 2.496cm3 volume
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The box plots display the scores that two different groups of students got on their last math quiz.
The correct option is A.
The interquartile range for Data Set A is 15 and the interquartile range for Data Set B is 10.
Given that, the box plots display the scores that two different groups of students got on their last math quiz.
We need to find the interquartile range of each data set.
So, the interquartile range of data set A = 80-65 = 15
the interquartile range of data set B = 90-80 = 10
Hence, the interquartile range for Data Set A is 15 and the interquartile range for Data Set B is 10.
The correct option A.
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Find the angle between the pair of vectors to the nearest tenth of the degree
The value of angle between the two vectors is 86⁰.
What is the angle between the two vectors?The value of angle between the two vectors is calculated as follows;
tan θ = vy/vx
where;
vy is the sum of the vertical directionvx is the sum of vectors in horizontal direction( -8, 9), (-9, -6)
vy = (-6 - 9) = -15
vx = (-9 + 8) = -1
tan θ = ( -15 ) / ( -1 )
tan θ = 15
The value of θ is calculated by taking arc tan of the fraction,;
θ = tan ⁻¹ ( 15 )
θ = 86⁰
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A virus takes 5 days to grow from 90 to 200. How many days will it take to grow from 90 to 410? Round to the nearest whole number.
The number of days it will take the virus to grow from 90 to 410 is 15 days.
What is the growth rate of the virus?The growth rate of the virus is calculated as follows;
growth rate = (200 - 90) / 5
growth rate = 22 per day
The number of days it will take the virus to grow from 90 to 410 is calculated as follows;
growth = 410 - 90
growth = 320
Number of days = 320 / 22/day = 14.55 ≈ 15 days
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