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Mathematics Questions and Answers March 03, 2021

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In Exercises 1 5 - 2 2 , graph the integrands and use known area rommus evaluate the integrals. 1 5 . - 2 4 ( x 2 + 3 ) d x 1 6 . 1 2 3 2 ( - 2 x + 4 ) d x 1 7 . - 3 3 9 - x 2 2 d x 1 8 . - 4 0 1 6 - x 2 2 d x 1 9 . - 2 1 | x | d x 2 0 . - 1 1 ( 1 - | x | ) d x 2 1 . 1 ( 2 - | x | ) d x 2 2 . 1 ( 1 + 1 - x 2 2 ) d x
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Simplify the following expression. 6 - 1 6 3
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Question Find the volume of a sphere with a radius of 3 c m . Use 3 . 1 4 for pi , round your answer to the nearest hundredth, and do not include units in your answer. Provide your answer below: Content attribution
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A1. Given that A = 3 + 6, B = 2+ 6k, and C = 3 - 2+ k, (a) find A B . (2 marks) (b) find the angle between A, and C. State whether the angle is an acute angle. (6 marks) A2. (a) Given A = 3 +0.75k and B = k + 3k, where k is a scalar constant. Find the value of k if is parallel to B. (4 marks) (b) By using the method of separation of variables,

Evaluate. - ( 1 - 3 2 ) 2 + 4 * ( - 5 )
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Solve and graph the solution set. 4-8y21y-8

Perform the addition shown below. ( 8 . 4 0 0 1 0 - 4 ) + ( 2 . 3 0 0 1 0 - 2 ) Submit your answer in scientific notation.
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Use the change - of - base formula and a calculator to evaluate each logarithm. Round your answer to three decimal places. log 7 1 9

f ( x ) = e 2 x ( 3 x + 1 ) - 2
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You plan to imvest $1,000 in a coeporate bond fund or in a common stock fund. The infornasion to the right about the arnual teturn foer econorruc condions wit cocour. Complese parts (a) through (d) belous aris a. Compute the expected retum for the corporate bond find and for the commen stock fund. The expected resum for the corporate bond lind is
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What is the optimal solution for the following problem? Maximize Z = 3 X 1 + 1 5 X 2 subject to 2 X 1 + 4 X 1 < = 1 2 5 X 1 + 2 X 2 < = 1 0 X 1 > = 0 , X 2 > = 0

Evaluate the function f(x) = 4x-6 at the indicated values. a) Find f(-2). (1) 3 c) Find f(x-9). b) Find f

Suppose that the function h is defined, for all real numbers, as follows. h ( x ) = { - 4 i f x - 2 - ( x - 1 ) 2 + 2 i f - 2 = 2 Find h ( 1 ) , h ( 2 ) , and h ( 5 ) .
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tions - Google Chrome rHomework.aspx?homeworkld = 6 6 5 4 4 8 9 adratic Question Factor the trinomial, or state that the 7 x 2 + 1 0 x + 3 Select the correct choice below an A . 7 x 2 + 1 0 x + 3 = ( Factor B . The polynomial is prime.
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( 8 marks ) Prove that your point X is correct by showing that d ( x , p ) = 4 d ( x , q ) Note: The distance d ( A , B ) between points A and B in Rn is the same as the distance between the vectors a = OA - > and b = OB - > , that is , d ( A , B ) = d ( a , b ) = \ | a b \ | .

Prepara un diagrama de Gantt en Excel PowerPoint u otro programa, determinando la duracin y el predecesor de cada actividad, tomar en consideracin que el perodo de tiempo ser en 10 horas (no se permiten fracciones de horas), usando las siguientes actividades

Find the value of the determinant D given by: D = | [ a , b , 3 ] , [ c , d , - 4 ] , [ 6 , 9 , 9 ] | where a = 2 , b = 5 , c = 1 1 , d = 1 3 Give your answer as an integer.
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Factor completely. 3 3 x 2 - 6 1 x + 1 0
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0 1 x 1 y x 2 + y 2 d y d x = ? ( a ) 4 ( b ) 2 ( c ) 3 4 ( d ) ( e ) 3 2
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The equation x 2 + y 2 = z in 3 - space defines which of the following types of surface? a circle a paraboloid a cylinder a parabolic cylinder
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Multiply or divide as indicated. ( x - 8 ) 2 1 2 1 2 x - 9 6 1 4 4
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Darren drives to school in rush hour traffic and averages 3 0 m p h . He returns home in mid - afternoon when there is less traffic and averages 4 0 m p h . What is the distance between his home and school if the total traveling time is 1 h r 4 5 min ? The distance between his home and school is m i .
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state the x and y intercepts y = ( 2 / 3 ) x

Exercise: Medical researchers conducted a study to determine whether treadmill exercise could improve the walking ability of patients suffering from claudication, which is pain caused by insufficient blood flow to the muscles of the legs. A sample of 4 9 patients walked on a treadmill for six minutes every day. After six months, the mean distance
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Question 1 1 To manufacture boxes, it costs $ 7 5 0 ( the fixed cost ) plus $ 5 for each box produced. The boxes are then sold for $ 7 each. a . Find an expression for the production cost of q boxes. b . Find an expression for the revenue earned by selling q boxes. c . For what values of q will the revenue be greater than the production cost? (
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Part 1 of 3 Points: 0 of 5 Walnuts sell for $ 5 . 6 0 per pound, and raisins sell for $ 4 . 6 0 per pound. Let x represent the number of pounds of raisins in a 1 3 - pound mixture of walnuts and raisins. Write an algebraic expression in x for parts ( a ) through ( c ) . a . The number of pounds of walnuts in the 1 3 - pound mixture. b . The value
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Solve: , 3 x 4 = 2 0 + x 4
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Question Solve: - 0 . 5 8 n = 0 . 9 2 8 . Provide your answer below: n = Content attribution
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If f ( 3 ) = - 3 , then the point is on the graph of f .
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( 1 ) pts . ) ( a ) By elementary row operations reduce the matrix A = [ 1 - 2 - 3 - 1 2 3 - 1 2 4 0 0 0 ] to its reduced row echelon form ( RREF ) .
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4 ( 5 a + b ) 5 [ ( 4 a + 5 b ) ( a + 4 b ) ]

Fill in the blank with the correct inequality symbol. If x - 2 , then 2 x - 4 .
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Find the intercepts of y = 1 2 x + 2 .
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ed on an airplane wing varies jointly as the area, A, of the wing's surf. area of 230 square feet is 26,100 pounds when the plane is going at er hour. Round your answer to the nearest integer if necessary

graph x + 2 y = - 7

The fox population in a certain region has an annual growth rate of 4 percent per year. It is estimated that the population in the year 2 0 0 0 was 2 6 6 0 0 . ( a ) Find a function that models the population t years after 2 0 0 0 ( t = 0 for 2 0 0 0 ) . Your answer is P ( t ) = os 2 6 6 0 0 * ( 1 . 0 4 ) t ( b ) Use the function from part ( a )
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f(x)=3x218x+1 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The function is increasing on (Type your answer in interval notation. Type integers or simplified fractions. Use a comma to separate answers as needed.) B. The function is never increasing. Select the correct choice below and, if
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3 x 2 + 2 0 x - 6 3 = 0

The equation of the line that goes through the point ( 3 , 3 ) and is parallel to the line 4 x + 5 y = 2 can be written in the form y = m x + b where m is: and where b is: Note: You can earn partial credit on this problem.
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Graph the parabola. y = ( x - 1 ) 2 - 4
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An athlete whose event is the shot put releases a shot. When the shot whose path is shown by the graph to the right is released at an angle of 3 0 , its height, f ( x ) , in feet, can be modeled by f ( x ) = - 0 . 0 1 x 2 + 0 . 6 x + 5 . 9 , where x is the shot's horizontal distance, in feet, from its point of release. Use this model to solve
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Example 8 : ( CC 5 e p . 1 0 , Activity 2 5 ) Consider the function t ( n ) = 1 5 1 + 2 e - 0 . 5 n . If an input value ? 8 ven, find its corresponding output value. If an output value is given, find its corres / dino input value ( s ) . Round answers to three decimal places. a . n = - 2 . 5 input b . t ( n ) = 7 . 5 output c . t ( n ) = 1 . 8
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f(x) = 3(x + 4)(x - 3) -4, multiplicity 1, crosses x-axis; 3, multiplicity 3, crosses x-axis -4, multiplicity 1, touches x-axis; 3, multiplicity 3 4, multiplicity 1, touches x-axis; -3, multiplicity 3 O 4, multiplicity 1, crosses x-axis; -3, multiplicity 3, crosses x-axis

Find the exact values below. If applic c o t 2 3 = s e c 2 3 =
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Solve the following equation for " T " using the values of the other variables listed below. Express your answer as a decimal number with at least four digits past the decimal. u = 3 * R * T M 2 u = 3 0 6 M = 0 . 0 4 2 R = 8 . 3 1 4
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In the following questions you will practice using the formulas from the text to calculate the main components of an ANOVA. According to the summary data table, the total sample size is N =27 and the overall mean is X =5.963 . The three category means are X1 =5.667 , X2 =5.889 , and X3 =6.333 . Calculate the sum of squares total (SST), the sum of

2 5 The graph above shows the function f ( x ) . The graph below shows g ( x ) . g ( x ) is a transformation of f ( x ) . g ( x ) = A f ( B x ) , where: A = B =
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QUESTION 1 : find the equation of the line tangent to the curre Parametric equations x = 2 t y = t ^ 2 + 3
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From a pipe that is 5 6 inches long, you must cut one piece that is 1 2 inches and a second that is 2 0 inches. Once you are done, how long will the pipe be , in inches?
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1 1 . The shoreline of a lake is a circle with diameter 3 km . Peter stands at point E and wants to reach the diametrically opposite point W . He intends to jog along the north shore to a point P and then swim the straight line distance to W . If he swims at a rate of 3 km / h and jogs at a rate of 2 4 km / h . How far should he jog in order to

Find the domain and range of the relation R given below: { ( 2 3 , - 1 3 ) , ( - 2 5 , - 1 4 ) , ( 1 9 , - 1 9 ) , ( 6 , 3 ) }

ome > MT 1 2 5 Fall 2 0 2 3 7 B - IS > Assessment Jnit 4 HW 1 Score: 9 1 6 , 1 1 1 6 answered Question 1 2 Nuri needs to mix a 1 0 % fungicide solution with a 5 0 % fungicide solution to create 2 0 0 milliliters of a 1 0 % solution. How many milliliters of each solution must Nuri use? Answer: Nuri must mix milliliters of the 1 0 % solution and
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Find all occurrences of "Profit" and replace it with "Earnings".
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A cereal company finds that the number of people who will buy one of its products in the first month that it is introduced is linearly related to the amount of money it spends on advertising. If it spends $ 1 0 , 0 0 0 on advertising, then 1 0 0 , 0 0 0 boxes of cereal will be sold, and if it spends $ 9 0 , 0 0 0 on advertising, then 2 0 0 , 0 0 0
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Find the change in profit P for the given marginal. Assume that the number of units x increases by 4 from the specified value of x. (Round your answer to two decimal places.) Marginal Number of Units, x dP/dx = 12.1 (55 3 x) x = 121 $=

In the relation in the table below, write a value that will make the relation not represent a function. \ table [ [ Input , - 1 , ? , 6 , 4 ] , [ Output , 5 , 3 , 1 3 , 9 ] ]
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Use the discriminant to determine whether the quadratic equation has two unequal real solutions, a repeated real solut equation. 5 x 2 - 6 x + 6 = 0 Choose the sentence that describes the number of real solutions to the quadratic equation. There is a repeated solution. There is no real solution. There are two unequal real solutions.
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La cantidad de un elemento decae con el tiempo, de modo que la cantidad de material en cualquier momento viene dada por la funci n k ( t ) = 2 0 0 0 ( 0 , 9 ) t + 2 . Escribe una funci n equivalente de la forma k ( t ) = un segundo ? t .
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You are ordering service from a new Internet company. Due to the company s limitations , the Wi - Fi router must be positioned on the floor in the corner of your basement. The router is supposed to provide coverage with a radius of 3 0 feet. The Internet company claims that this guarantees 4 3 \ pi ( 3 0 ) 3 1 1 3 , 0 9 7 cubic feet of Internet -

After t seconds, the height h ( t ) of a model rocket launched from the ground into the air is given by the function below h ( t ) = - 1 6 t 2 + 8 0 t How long does it take the rocket to reach a height of 9 6 feet? 1 seconds 6 seconds 2 seconds 1 0 1 seconds
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Unit 4 HW 1 Score: 1 1 . 9 / 1 6 1 5 / 1 6 answered ' My car gets 1 9 miles per gallon in the city and 3 2 miles per gallon on the highway. Suppose I used 1 5 . 3 6 4 gallons of gas and got an average of 2 1 miles per gallon for the trip. How mariy gallons did I use for each part of the trip? gallons at 1 9 miles per gallon ( if needed, round to 3
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consider the hasis S = { v 1 , v 2 } for R 2 , where: v 1 = ( 1 , 1 ) , v 2 = ( 1 , 0 ) and Let T : R 2 R 2 be a linear Transformation such that T ( v 1 ) = ( 1 , - 2 ) , T ( v 2 ) = ( - 4 , 1 ) Find the formula of T . Find T ( 5 , - 3 )
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d d t [ t 2 e t + e l n ( t ) + 1 t ]
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Graph the line with slope 3 passing through the point ( - 1 , 1 ) .
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using two - steps ( add or subtract,then divide or mulitply ) , solve the equation: 1 . 4 7 x + 2 . 3 5 = - 5

After t seconds, the height h ( t ) of a model rocket launched from the ground into the air is given by the function below h ( t ) = - 1 6 t 2 + 8 0 t How long does it take the rocket to reach a height of 9 6 feet?
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i want answers for 8,9and 10 8- Which of the following data set has the largest variance: (a) 4,4,4 (b) 2002,2003,2004 (c) 3,4,5 (d) 2,6,10 9- If X follows a Binomial distribution with trials number n and success probability variance is given by the following formula: a) np(1p) b) np c) n(1p) d) p(1p). 10- Let X be a continuous random variable
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5 x 3 + 2 1 x 2 + 6 6 x + 1 9 3 = 0 Solve this rational equation
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Question Solve: 3 | 2 d - 9 | - 1 0 = 3 . ( Use a comma to separate multiple solutions. If there is no solution, enter O ? as your answer. ) . Provide your answer below: d =
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Find the x - and y - intercepts for the function. f ( x ) = x + 8 x 2 + 3 6 Enter your answers as points, ( a , b ) The x - intercept is The y - intercept is
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Solve. 9 x 2 - 5 x - 3 x = 7 x - 5 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A . x = ( Type an integer or a simplified fraction. Use a comma to separate answers as needed. ) B . The solution is all real numbers. C . There is no solution.
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A farmer had 1 1 sheep and all the eight died. How many sheep did she have left?

Use synthetic division to find the quotient and the remainder. ( x 3 - 2 x 2 - 8 ) ( x + 2 )
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V. What is the probability that the sum is 6 or less given white die shows a 2? dia shows

4 . 3 . 6 . - Determine whether or not the set B = { [ 2 3 2 ] , [ 1 1 - 1 ] } is a basis for the subspace Span ( { [ 1 2 3 ] , [ 5 8 7 ] , [ 3 4 1 ] } ) s u b R 3
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Find d d x ( e x s i n ( x ) ) Choose 1 answer: e x ( s i n ( x ) - c o s ( x ) ) - e x c o s ( x ) e x c o s ( x ) e x ( s i n ( x ) + c o s ( x ) )
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Simplify the following algebraic expression: 1 6 2 4 2 1 3 2 7

Simplify. x - 2 * x - 4 Write your answer with a positive exponent only.
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K Find a number for which the reciprocal of 15 less than the number is the same as 15 more than the number. The number(s) is/are

At a local Walmart store, a coke dispenser held 2 2 1 / 3 gallons of soda. During work hours, 1 2 2 / 3 gallons were dispensed. How many gallons of coke remain?

Role Description - Real Estate Receptionist/Administrator Role overview The Real Estate Receptionist/Administrator is the first point of contact for all clients and customers entering the agency. This is a pivotal role in ensuring we provide a welcoming environment and effective customer service. As receptionist you will also be the first point of
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Solve. 2 7 - 1 2 x = - 1 2 x + 2 7 Select the correct choice below and, if necessary, fill in the answer box to A . The solution is ( Type an integer or a simplified fraction. ) B . The solution set is ( - , ) . C . There is no solution.
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Find the domain of the function using interval notation. f ( x ) = 3 x 3 To enter \ infty , type infinity. To enter \ cup , type U .

It is sometimes necessary to take powers or roots to solve chemistry problems. Take powers and roots as needed on your calculator to complete the following: a = 3 . 6 7 2 , a = b 5 = 5 4 8 , b = c = 5 . 0 0 4 . 0 7 , c = d 4 . 2 4 = 6 8 . 5 , d =
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If log, 4 = a and log27 5 = b, express log3 80 in terms of - HINT: express 80 in terms of a product of factors: 4, 5, resolve the other two logarithms in terms of the factors) Olog3 80 = 3.9ab Olog3 80 = 3a + 4b Olog3 80 Olog, 80 W H 3.98 uv 4a + 3b

Multiply. ( u + 9 w ) ( u - 9 w ) Simplify your answer.
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Use the change of base formula to compute l o g 8 9 . Round your answer to the nearest thousandth.
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Solve the equation: l o g 4 x = l o g 4 1 5 - l o g 4 3 x = 5 x = 1 . 1 6 x = 0 . 1 0 7 x = 4
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Use transformations to graph the given function. f ( x ) = | 4 x |
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Yusef is going to watch a football match in the park. He will catch a bus and then a train. It takes Yusef 1 0 minutes to walk from his home to the Statue bus stop. The walk from Park Station to the football pitch takes 1 5 minutes. The match starts at 4 p m . Here are the bus and train timetables. Bus timetable \ table [ [ Statue , 1 3 3 5 , 1 3
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Question 5 (1 point) You see the following headline on the news: "A new political poll finds that less than 20% of Americans are happy with the new Common Core standards in education". At the bottom of the television screen you see that a sample of 46 Americans were polled. Explain why this might represent sampling bias and give one solution to
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add the following if possible 3 1 2 2 + 5 2 7 2

Graph the data in the table on graphing paper please Voltage (V) Current (A) O 0.0 2.1 2 4.0 3 5.8 4 7.9 5 10.0
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Which of the following describes how the scatter plot appears? Select all that apply. \f
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George and Amal can mow their yard together with two lawn mowers in 4 5 min. When George works alone, it takes him 1 h r 1 0 min. How long would it take Amal to mow the lawn working alone? It takes Amal min to mow the lawn working alone.
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ow many different ways can six Super Bowl raffle tickets be selected from 60 tickets if each ticket wins a different prize

The 100% rule is __________. used to determine the cost of one-unit of a resource used to calculate the range of the right-hand side (RHS) value of a constraint used to calculate the optimum solution in a linear programming model used to verify the validity of the information in a sensitivity report

CITY Mortality Precip Humidity JanTemp JulyTemp Over65 House Educ Sound Density NonWhite WhiteCol Poor HC NOX SO2 San Jose, CA 925.73 13 71 49 68 7 3.36 13.5 90.7 2702 3 51.9 9.7 105 32 3 Wichita, KS 958.76 28 54 32 81 7 3.27 13.2 81 3665 7.5 51.6 13.2 4 2 1 San Diego, CA 974.71 10 61 55 70 7.3 3.11 12.1 88.9 3033 5.9 51 14 144 66 20 Lancaster, PA
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How do you differentiate between a small, medium, and large correlation? When interpreting a correlation, should you focus more on the r-value or the p-value? Support your answer.

Find the set of solutions for the linear system 4 x 1 + 5 x 2 + x 3 - x 4 = 1 9 - 2 x 2 + 7 x 3 - 1 1 x 4 = - 6 2 x 3 + x 4 = - 1 2 If your answer includes any arbitrary parameters name them s 1 , s 2 , etc., as needed. , )
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