# Complex numbers Questions and Answers

Algebra

Complex numbersPerform the indicated operation 16 x 2x 15 16 x 2x 15 9 X 3 9 X 3 Simplify your answer www

Algebra

Complex numbersThis question 1 point s possible Write an equation of the line with the given slope m and y intercept 0 b m 0 b 7 Submit tes The equation is Simplify your answer Type your answer in slope intercept form Use integers or fractions for any numbers in the equation

Algebra

Complex numbersThis question 1 point s possible The Pool Fun Company has learned that by pricing a newly released Fun Noodle at 4 sales will reach 8000 Fun Noodles per day during the summer Raising the price to 5 will cause the sales to fall to 4000 Fun Noodles per day The equation is Type your answer in slope intercept form b Predict the daily sales of Fun Noodles if the price is 4 50 Submit test a Assume that the relationship between sales price x and number of Fun Noodles sold y is linear Write an equation in slope intercept form describing this relationship Use ordered pairs of the form sales price number sold sales

Algebra

Complex numbersGraph the system of equations x 2y 4 2x 4y 1 A No Solution Help 10 9 8 7 6 5 4 321 10 9 6 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9 10 2 8 9 10 WebAssign Graphing Tool State whether the system is consistent inconsistent or dependent consistent O inconsistent dependent Fill State whether the system has one solution no solution or infinite solutions one solution Ono solution Graph Layers After you add an object to the graph you can use Graph Layers to view and editi properties

Algebra

Complex numbersA study found that between 2011 and 2015 about 59 5 of workers commuted less than 26 minutes to work The margin of error for the study was 2 Find the 95 confidence interval for this situation Enter the smallest value in the first blank and the largest value in the last blank Do not add sign

Algebra

Complex numbersFind the area of the triangle ABC A 50 0 B 37 7 c 25 1 m What is the area of the triangle 2 m Round to the nearest tenth as needed

Algebra

Complex numbersA Super Happy Fun Ball is dropped from a height of 16 feet and rebounds of the distance from which it fell 7 8 How many times will it bounce before its rebound is less than 1 foot It will bounce times before its rebound is less than 1 foot How far will the ball travel before it comes to rest on the ground It will travel feet before it comes to rest on the ground

Algebra

Complex numbersPaul is saving for a down payment to buy a house The account earns 13 interest compounded quarterly and he wants to have 15 000 in 4 years What must his principal be Round your answer to the nearest cent Do not round at any other point in the solving process only round your answer

Algebra

Complex numbersWrite an equation for the parabola whose graph is given below Enter your answer in general form 6543 5 2 1 7 6 5 4 3 2 11 1 2 3 4 5 6 23456 2 3

Algebra

Complex numbers2 Use Horner s method to evaluate the polynomial p x 5x 10x 7x 13 at z 2 and count the number of arithmetic operations that you implemente

Algebra

Complex numbersSolve the following equation List all the solutions separated by commas Provide your answer below 4x5 16x

Algebra

Complex numberssurveyor has determined that a mountain is h 2470 ft high From the top of the mountain he measures the angles of depression to two landmarks at the base of the mountain and finds them to e 42 and c 42 Observe that these are the same as the angles of elevation from the landmarks as shown in the figure below The angle between the lines of sight to the landmarks is 68 alculate the distance between the two landmarks Round your answer to the nearest integer ft Enter a number 680

Algebra

Complex numbersA data set lists the heights of students Which of the following charts could be used to display the data and why Bar chart because the data is categorical O Bar chart because the data is numerical Line plot because the data is categorical O Line plot because the data is numerical

Algebra

Complex numbers6 X If two angles of one triangle are congruent to two angles of another triangles then the two triangles are similar Sif LS LT and LR LV then ASRP ATVX Let s try it Verify the triangles are similar by AA similarity then write a similarity statement Justify AZQp AZ QOX 1 SIDE SIDE SIDE SIMILARITY If all 3 pair of corresponding sides lengths of two triangles are proportionate then the two triangles are similar 8 Y SZ 36 48 F 30 Q K Similarity Statement PE LX L ZAP ZO PEL 12 70 QK QH KH DY DN YN then AQHK ADNY Let s try it Verify the triangles are similar by SSS similarity then write a similarity statement Justify E If R They are similar by b 1 76 H Y X 19 19 N

Algebra

Complex numbersCE Final F Find the slope of the line and write a sentence explaining the meaning of the slope as a rate of change Attach the proper units The graph approximates global sales and rentals y in billions of U S dollars of Blu ray DVD format movies for year x Sales and Rentals of Blu Ray DVD Movies Billions of US dollars 9 4 3 5 8 8 8 30 25 20 15 10 5 Question 25 of 39 0 2014 191 2014 2016 2018 9 5 2018 2020 2022 Year Q Q 4 COD possible This question 1 point s possible The slope of the line is m Type an integer or a decimal Submit test Select the correct choice below and fill in the answer box within your choice Type an integer or a decimal O A Every 1 year the global sales and rentals of Blu ray DVD movies decreases by S billion OB Every 4 years the global sales and rentals of Blu ray DVD movies decreases by S billion OC Every 4 years the global sales and rentals of Blu ray DVD movies increases billion by O D Every 1 year the global sales and rentals of Blu ray DVD movies increases by billion

Algebra

Complex numbersSolve the equation for x X 2 2 X point s possible Select the correct choice below and if necessary fill in the answer box to complete your choice O A X Type an integer or a fraction Simplify your answer OB The solution is all real numbers OC There is no solution Subm

Algebra

Complex numbersSolve the equation x 6 7 x 6 9 14 14 Select the correct choice below and if necessary fill in the answer box to complete your choice OA x Type an integer or a simplified fraction Use a comma to separate answers as needed B There is no solution

Algebra

Complex numbersFind the second coordinate of the point of intersection of the given line and the given plane Noteikt taisnes x 3 y 4 z 4 5 1 7x y 42 47 0 krustpunkta otro koordin ti un plaknes

Algebra

Complex numbersAccording to psychologists IQs are normally distributed with a mean of 100 and a standard deviation of 16 a What percentage of the population has IQs between 84 and 100 b What percentage of the population has IQs below 68 a should have IQ scores between 84 and 100 Type an integer or a decimal b should have IQ scores below 68 Type an integer or a decimal PANDE

Algebra

Complex numbersLet V be the vector space of all 2 x 2 matrices and let W be the set of matrices of the form X X 2 Z y Verify that W is a Subspace of V and hence find dim W

Algebra

Complex numbersWrite z and 2 in polar form Z 22 2 2 21 2 1 1 Find the product z122 and the quotients Z122 232324 and Express your answers in polar form

Algebra

Complex numbersThe height y in feet of a ball thrown by a child is 1 11 12 6x 3 where z is the horizontal distance in feet from the point at which the ball is thrown a How high is the ball when it leaves the child s hand b What is the maximum height of the ball c How far from the child does the ball strike the ground feet feet feet

Algebra

Complex numbersShelia swam 5 mi and ran I mi in a total of 1 hr 20 min hr In another training session she swam 7 mi and ran 3 mi in a total of 2 hr Determine the speed at which she swims and the speed at which she runs Assume that her swimming speed was the same each day and that her running speed was the same each day Part 0 2 Part 1 of 2 Sheia ciims at mnh

Algebra

Complex numbersif log 6z 3 1 then z You may enter the exact value or round to 4 decimal places

Algebra

Complex numbersWhat is the present value of an annuity that consists of 15 semiannual payments of 8000 at the interest rate of 5 per year compounded semiannually Round answer to the nearest cent

Algebra

Complex numbersGiven the following information of a triangle ARST S 124 ZT 28 a Calculate the measure of the unknown angle s ZR b Classify the triangle by angle measure and by side length

Algebra

Complex numbersort Answer 1 For what values of x will the expression log x be undefined 2 Evaluate log 625 log 32 3 Put the following in order from smallest to largest log 16 log 100 log 30 log 40 log20 200 4 If you invested money into an account that pays 9 a compounded weekly how many years would it take for your deposit to double 5 Solve 10 2 10 9900 for x 6 What is the hydrogen ion concentration of a glass of orange juice with a pH of 2 8 blem 7 Given the parent function f x log 0x a state the transformations that must be applied to produce the function f x 3 log 0 2x 8 5 b state the x intercept and the equation of the asymptote c state the domain and range 8 Explain the difference in the process of solving exponential equations where both sides can be written as powers of the same base and solving exponential equations where both sides can not be written as powers of the same base 9 The function S d 86 logd 112 relates the speed of the wind S in miles per hour near the centre of a tornado to the distance the tornado travels d in miles Estimate the rate at which the speed of the wind at the centre of the tornado is changing the moment it has traveled its 50th mile

Algebra

Complex numberso find the distance across a small lake a surveyor has taken the measurements shown Find the distance across the lake using this information Assume points A and B are exactly along the shoreline a hat a 2 42 miles and b 3 81 miles Round your answer to two decimal places mi C 40 3 b B A

Algebra

Complex numbersAs Drake s OVO Private Jet approched Toronto s airport its horizontal distance From the airport is 22 miles when his altitude is 2 2 miles To the nearest degree what is the angle of depression of Drake s Plane using the diagram write an equation and solve

Algebra

Complex numbersSet up a trip equation missing side length of the triangle C 5 B 90 x A 12 trigonometric function Sin A OS A Tan A A Find the sine cosine and tangent of referenced angle and solve for the Ratio

Algebra

Complex numbersD 3 8 A candle is burning at a constant rate The height of the candle is 12 5 inches after 3 hours After 7 hours the height of the candle is 10 5 inches Assuming the decrease is linear which equation describes the relationship between the height of the candle and the time in hours it burns A y 2x 18 5 By 2x 6 5 C y x 14

Algebra

Complex numbersConsider the planes II₁: 2x - 4y -z = 3, II₂ : -3x + 6y + 3z/2 = 6 . Give a reason why the planes are parallel. Also, find the distance between both planes.

Algebra

Complex numbersDeborah takes 45 minutes to stitch a skirt and a shirt. She takes 70 minutes to stitch a shirt and two skirts. How long is she taking to stitch a skirt?
25 minutes
40 minutes
35 minutes

Algebra

Complex numbersEvaluate the quotient, and write the result in the form a + bi. (Simplify your answer completely.)

Algebra

Complex numbersThe heights of a group of people are normally distributed with a mean of 62 inches and a standard deviation of 1.5. What percent of the group is between 62 and 65 inches tall?

Algebra

Complex numbersI need an example of a critical point of a nonlinear system of differential equations that satisfy the limit condition for asymptotaclly stable? We know from the definition of asymptotaclly stable critical point that the point must be stable and must satisfy the limit condition (I.e. all the trajectories must approach to the critical point as t goes to infinity), so the limit condition does not mean the asymptotic stability without the fact that the point is stable. I need an example in which the limit condition holds but the critical point is not stable.

Algebra

Complex numbersRewrite the system of inequalities, adding slack variables or subtracting surplus variables as necessary.
X₁ + x₂ + x3 = 84
x₁ + x₂ + x3 ≥ 60
X₁ + X₂ 2 56
What is the corresponding system of equations?

Algebra

Complex numbers7. Find the area of the shaded region.
All work must be shown on this page for full credit.
A. 34.77 cm²
B. 40.24 cm²
C. 88.56 cm²
D. 106.75 cm²

Algebra

Complex numbersA bacteria culture initially contains 3000 bacteria and doubles every half hour.
Find the size of the baterial population after 20 minutes.
Find the size of the baterial population after 10 hours.

Algebra

Complex numbersA new car is purchased for 24000 dollars. The value of the car depreciates at 8% per year. To the nearest tenth of a year, how long will it be until the value of the car is 10300 dollars?

Algebra

Complex numbersBartholomew is grocery shopping. The probability that he buys chicken is 0.85. The probability that he buys beef is 0.52. The probability that he buys both is 0.42. What is the probability that he buys chicken or beef?

Algebra

Complex numbersDescribe the procedures for solving linear inequalities using a graphing method. What are some of the pitfalls you would watch out for? Are there some linear inequalities you cannot solve with the graphical method? Give one example.

Algebra

Complex numbersDetermine if 81x² - y² = 81 is an ellipse.
Ellipse
Not an Ellipse
If it is an ellipse, write the equation of the ellipse in standard form not an ellipse, leave the rest blank.
Where:

Algebra

Complex numbersThe school students are planning to conduct an exhibition. They need to collect a minimum of $5000 by selling tickets. The adult ticket cost $25 and a student ticket for $20. They estimate that at most 250 tickets will be sold. Form the system of inequalities representing the given situation.
x+y ≤ 250, 250x+ 200y ≥ 5000, x ≥ 0 and y20
x+y> 5000, 250x + 200y <250, x ≥ 0 and y≥0
x+y> 250, 250x + 200y > 5000, x>0 and y>0

Algebra

Complex numbersGiven f(x) = 3(4), determine the following.
1) The parent function from which the graph of the function given above can be
obtained.
y =
2) Find f(10)
=
3) Solve for x if f(x) = 10.
Round the answer(s) to three decimal places.
A
N

Algebra

Complex numbersQuestion 5 Points 3
Solve using graphical method: -2x + 9 = y; 5x = 18+ 2y.
O (4,1)
O (1,2)
O (1.1)