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Mathematics Questions and Answers June 09, 2021

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Use y = x 3 ( x - 5 ) 2 2 7 and its derivative d y d x = 5 x 2 ( x - 3 ) ( x - 5 ) 2 7 to find each of the following. Find the critical values. ( Enter your answers as a comma - separated list. ) x = Find the critical points. ( x , y ) = ( , ) ( s m a l l e s t x - value ) ( x , y ) = ( , ) ( l a r g e s t x - value ) Find the intervals on which
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State the Extreme Value Theorem for a differentiable function f ( x , y ) on a closed disc of radius r > 0

Solve and check the linear equation. 5 x + 1 = 2 6 The solution set is ( Simplify your answer. )
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The winner of a "million dollar" lottery is to receive $ 3 0 , 0 0 0 plus $ 3 0 , 0 0 0 at the end of each year for 1 9 years or the present value of this annuity in cash. How much cash would she receive if money is worth 6 % compounded annually? She would receive $ ( Round to the nearest cent as needed. )
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Express the following number in exponential form. 5 ( c o s 3 0 + jsin 3 0 )
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For the following equation, comprete tre given or dereu pairs. Inen use any two of the ordered pairs to graph the solution set for the equation. y = 4
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Question 7 If f ( - 2 ) = 2 , then the point is on the graph of f .
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Identify whether each of the following events in this scenario occurs in the factor market or the product market. \ table [ [ Event , Factor Market,Product Market ] , [ Crystal spends $ 1 0 to take a spin class., , O ] , [ Crystal earns $ 5 5 0 per week working for Passing Left.,O , c ] , [ Brian earns $ 3 2 5 per week working for Silver's Gym., 0
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The following data give the total food expenditures ( in dollars ) for the past one month for a sample of 2 0 families. 1 1 2 3 , 5 3 0 , 1 2 3 4 , 5 9 8 , 4 2 9 , 8 8 4 , 1 4 9 0 , 6 9 1 , 1 2 8 7 , 1 1 8 4 9 4 6 , 1 1 2 5 , 7 1 2 , 1 0 8 5 , 9 4 7 , 1 6 4 0 , 1 0 3 5 , 2 1 9 8 , 1 3 4 1 , 4 4 9 a . Calculate the values of the three quartiles and
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Find the solution set of the system of linear equations represented by the augmented matrix. ( If there is no solution, enter NO SOLUTION. Ifof solutions, set x 3 = t and solve for x 1 and x 2 in terms of t . )

Considor the vector fiold F=y+x,x) and curve C,r(x)=(8cost.8sin5) for 012x a. Based on the picture, make a conjocture about whethor the dirculation of F on C is positive, negative, of zoro b. Compule the dirculation
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Find the maximum or minimum value of the function. f ( t ) = - 7 + 1 2 0 t - 2 0 t 2 Is this a maximum or minimum value? maximum value minimum value
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Consider the following cubic polynomial equation: x 3 + x 2 = 4 + 4 x Find the integer solutions to this equation by factoring in standard form. Enter the solutions in the spaces indicated below in increasing numerical order. ( eg . if your solution had x = 1 , 0 , - 5 you enter - 5 0 0 1 ) Solutions: x =
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The equations of two lines of regression betweenvariables X and Y are 6 X + 9 Y - 2 2 8 = 0 and 7 X + 3 Y - 1 1 6 = 0 . Obtain the mean values of Xand Y . and comment on the values of regression coefficient byx and bxy

Simplify. ( 9 + 6 ) 3 =
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We have 2 0 cars per a 2 0 0 0 square feet parking lot. What is the mean for a 5 0 0 square feet parking lot?

A 4 5 saddle is to be made in 1 1 / 4 " EMT and must pass over a pipe with a 2 - inch diameter. The EMT must go over the 2 " pipe with a 1 / 4 - inch clearance. You should make a mark on the EMT at _ _ _ inches to the left of Point 2 as shown in Figure 1 0 6 . 2 5 .

For each system of linear equations shown below, classify the system as "consistent dependent," "consistent independent," best description of its solution. If the system has exactly one solution, give its solution.
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Differentiate f ( x ) = l n ( c o s x ) . f ' ( x ) = t a n x f ' ( x ) = - t a n x f ' ( x ) = c s c x s e c x f ' ( x ) = - c s c x s e c x
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( 1 point ) Let I n = 0 2 s i n n x d x , for n 0 . It is known that the following reduction formula holds for some constants A and B : I n = n + A n + B I n - 2 , for n 2 . Find the values of A and B . A = B = Click for a hint Hence, evaluate I 1 0 . I 1 0 =
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1 2 5 a 3 - 6 4 b 3 =
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h ( x ) = { x + 4 i f x 0 x 2 - 2 x + 4 i f x > 0 ( a ) Choose the correct graph below. ( b ) Select the correct choice below and, if necessary, fill in the answer box within your choice. A . The function is discontinuous at x = ( Use a comma to separate answers as needed. ) B . The function is continuous for all values of x . A . The limit ( s )
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A company surveyed 2,600 North American airline passengers and reported that approximately 75% said that they carry a smartphone when they travel. Suppose that the actual percentage is 75%. Consider randomly selecting six passengers and define the random variable x to be the number of the six selected passengers who travel with a smartphone. The

You invest $ 6 2 5 0 in a certificate of deposit ( CD ) for 7 years. The CD compounds monthly with an interest rate of 4 . 2 5 % per year. How much money will be in your account after the 7 year term.
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Q:Evaluate $ 7 5 0 ( 1 . 0 0 7 5 Evaluate$ 7 5 0 ( 1 - 0 . 0 5 7 5 imes ( 1 5 0 ) / ( 3 6 5 ) ) $ 7 4 9 . 9 8 $ 7 3 2 . 2 8 $ 3 0 8 . 2 0 $ 5 7 2 . 7 7 $ 7 6 7 . 7 2

GRAPH Y: 4 - X ? If Graph Y = 4 - x 2 and y 2 + 1 = x Will have any of the Symmetry ( a ) with respect to the x - axis ( b ) with respect to the Y - axis ( c ) Symmetry with respect to the onsin or ( d ) NO symmetr? II . Determine their intercepts on the axes.
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Section 4 - 5 Example 9 Finding the Dimension of a Subspace find a set of linearly independent vectors that spans the subspace Determine the dimension of each subspace of R 3 . ( a ) W = { ( d , c - d , c ) : c , dinR }
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3. Road Network Length: - The state of ABC has a total road network length of 10,000 kilometers. If 15% of these roads are highways, calculate the length of highways in the state. 4. Tax Revenue Distribution: - A state collects a total tax revenue of 80 million dollars. If 40% of this revenue comes from income tax, calculate the amount of income
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ewrite the following parametric curve as a Cartesian curve by iminating the parameter. You do not need to simplify your answer. x = 8 t - 4 t 2 , y = 2 t - 5
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State whether the following statement is true or false. The principal square root of any nonnegative real number is always nonnegative. loose the correct answer below. True False
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Write as ordered pairs, the x and y intercepts of the line 4 x + 2 y = 8

solve the following quadratic equation by factoring. 2 x 2 + 3 x - 2 7 = 0

The earth formed 4 . 5 7 1 0 9 years ago. What is this time in seconds? 1 . 6 7 1 0 1 2 s 4 . 0 1 1 0 1 3 s 2 . 4 0 1 0 1 5 s 1 . 4 4 1 0 1 7 s
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Use excel to finish this case study.
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When using x control charts and R control charts for process control, what kind of unnatural types do the following diagrams ( A ) and ( B ) belong to ? What are ( A ) ( B )
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Complete the following ( a ) Find f ( x ) for the indicated values of x , if possible. ( b ) Find the domain of f . f ( x ) = 3 - 2 x for x = - 4 , a + 4
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Fill in the blanks. Then, choose the property of addition you used. \ table [ [ ( a ) , 6 + 3 = 3 + 6 , ( Choose one ) , a ] , [ ( b ) , ( 7 + 5 ) + 2 = 7 + ( 5 + 2 ) , \ table [ [ Commutative Property ] , [ Identity Property ] ] , a ] , [ ( c ) , 3 + 1 = 3 , ( Choose one ) , ( ] ]
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Use a limit to find the value of the following telescoping series. If the series diverges, enter DIVERGES as your response. n = 1 ( 5 1 n - 5 1 n + 1 )
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The following table shows a projection of the number of cookies, N , left in a cookie jar after x minutes have passed. The cookies disappear at a rate of 2 0 % per minute. \ table [ [ Minutes , 4 0 ] , [ 0 , 3 2 ] , [ 1 , 2 6 ] , [ 2 , 2 0 ] , [ 3 , 1 6 ] , [ 4 , ] ] How many minutes pass until there are only 2 cookies remaining?
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Perpendicular Lines Line l contains the points ( 2 , 7 ) and ( 8 , 6 ) . Give the slope of any line perpendicular to l .

Binomial Probability Distribution The probability that a letter will be delivered anywhere in California in 2 days or less is 0 . 8 4 . If a college graduate is sending job applications to 5 colleges, and they are all due in 2 days, find the probability that 4 arrive within 2 days.
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Graphs and Functions Graphing a vertical or horizontal line ? QUESTION Graph the line y = - 6 .
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Rewrite without parentheses and simplify. ( 7 - 5 x ) 2
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Simplify the expression. Write the result using positive exponents only. Assume that all bases are not equal to 0 . y - 3 y y - 3 y =
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What is the first rule in converting between one metric prefix and another? ( Video 3 ) A . Subtract Exponents B . Move decimal that amount in the direction of the wanted unit C . Add Exponents
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pls show the calculations in the first 3 cells in excel

Which expression is a factor of x ^ 4 - x ^ 3 - 1 1 x ^ 2 + 5 x + 3 0

Evaluate the definite integrals i - 3 5 ( x 3 - 3 x 2 + 2 x ) d x
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Rewrite the following using mathematical symbols. a . P is equal to the set containing t , n , c , and d . b . The set consisting of the elements 4 and 7 is a proper subset of { 4 , 7 , 8 , 1 2 } . c . The set consisting of the elements 0 and 3 is not a subset of { 3 , 4 , 5 , 6 } . a . P is equal to the set containing t , n , c , and d . P = { }
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Find the integral. ( 9 x - 4 x 5 ) d x ( 9 x - 4 x 5 ) d x =
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Prove that the number of positive integers less than or equal to 900 that are divisible by at least one of 2,3 and 5 is 660

Evaluate the following line integral. Cxyds;Cistheportionoftheunitcircler(s)=coss,sins,for0s23 The value of the line integral is (Simplify your answer.)
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Find the domain and range of the function graphed below. Domain: Range: NOTE: Ir you do not see an endpoint
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Monica Britt has enjoyed sailing small boats since she was 7 years old, when her mother started sailing with her. Today, Monica is considering the possibility of starting a company to produce small sailboats for the recreational market. Unlike other mass - produced sailboats, however, these boats will be made specifically for children between ages

7. Which DAX function counts the number of different cells in a column

Solve the equation for solutions in the interval [ 0 , 2 ) by first solving for the trigonometric function. ( c o t x + 1 ) ( 3 2 t a n x - 1 ) = 0
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Simplify. 5 2 * 5 2
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(30 Points) Consider two independent random variables X and Y with the following joint probability distribution function: F(x,y)=C(YX2+XY2)0X1,0Y2 a) Find the value of C that makes this function a valid probability distribution function. b) Find marginal distribution function of X. c) Find conditional distribution function of F(xy0.5). d) Find
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Find the limit . lim x - x + 5 2 x 2 - 3
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Solve the system of equations by the addition method. 3 x + 7 y = 4 6 3 x + 2 y = 5 6

survey of a group of men, the heights in the 20-29 age group were normally distributed, with a mean of 69.6 inches and a standard deviation of 2.0 inches. A study participant is randomly selected. Complete parts (a) through (d) below. (a) Find the probability that a study participant has a height that is less than 65 inches. The probability that

Given the frequency distribution for the data, \ table [ [ Age , Frequency,Relative Frequency,Cumulative Relative Frequency ] , [ 2 0 , 2 9 , 4 , 0 . 1 3 3 3 , 0 . 1 3 3 3 ] , [ 3 0 , 3 9 , 5 , 0 . 1 6 6 7 , 0 . 3 ] , [ 4 0 , 4 9 , 6 , 0 . 2 , 0 . 5 ] , [ 5 0 , 5 9 , 5 , 0 . 1 6 6 7 , 0 . 6 6 6 7 ] , [ 6 0 , 6 9 , 6 , 0 . 2 , 0 . 8 6 6 7 ] , [ 7 0
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y = 1 2 x + 2 ( 2 , 1 2 )
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5 x + 2 y 5 x + 8 y 4 x + 2 y 4 x y
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Each coefficient in the equation is determined by throwing an ordinary die. Find the probability that the given equation will have real roots. Also find the probability that the roots

Find the derivative of the function. Simplify and express the answer using positive exponents only. c ( x ) = 8 x x 3 + 1 2 c ' ( x ) = Need Help?
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A. H4=2.2H1,0=02 c. MipeozHip+02 C. Heprea H1,p+02 8. Hop0214.040? 0 Me003H4=03 r. Hep0140002 The trat clative is of
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Divide and simplify. Assume that all variables represent positive numbers. 2 7 x 1 6 y 1 0 2
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What are Regularization Techniques? How are they helpful in Predictive Analytics? How do you come up with the right model

The claim is that smokers have a mean cotinine level greater than the level of 2 . 8 4 n g m L found for nonsmokers. ( Cotinine is used as a biomarker for exposure to nicotine. ) The sample size is n = 8 5 2 and the test statistic is t = 5 8 . 9 9 1 . Use technology to find the P - value. Based on the result, what is the final conclusion? Use a
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Use the properties of logarithms to expand the expression as a sum, difference, and / or multiple of logarithms. l n y - 7 3 , y > 7
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For the straight line defined by the points ( 4 , 5 9 ) and ( 6 , 8 3 ) , determine the slope ( m ) and y - intercept ( b ) . Do not round the answers. m
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How many c m 3 are contained in 5 . 8 3 1 0 6 m m 3 ? 5 . 8 3 1 0 6 c m 3 5 . 8 3 1 0 3 c m 3 5 . 8 3 1 0 1 2 c m 3 5 . 8 3 1 0 - 1 0 c m 3 5 . 8 3 1 0 1 8 c m 3
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Q 9 ) True or False, correct it if it is false: ( 8 B - 1 ) - 1 = 0 . 1 2 5 B ( 2 ) If A is 4 5 matrix, then A A T is symmetric. If det ( A ) = - 3 , then det ( A T A ) = 1 det [ c o s s i n 1 - s i n c o s 0 1 1 c o s ] = s i n If det ( 4 A - 1 ) = 2 8 , then det ( A ) = 7
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An intelligence service has 1 2 agents in an enemy country. In the graph below, each node i represents an agent, and an arc ( i , j ) implies that i and j can communicate with each other. If i and j communicate, the message passed between them might be intercepted with a probability pij, as indicated on the graph. The group leader wants to

x ? m * y ? m = x y ? m

4 ) Two machines are used for lling plastic bottles with a net volume of 1 6 . 0 ounces. The ll volume can be assumed to be normal with standard deviation \ sigma 1 = 0 . 0 2 0 and \ sigma 2 = 0 . 0 2 5 ounces. A member of the quality engineering sta suspects that both machines ll to the same mean net volume, whether or not this volume is 1 6 . 0

Each of five students measures the same two angles and and obtains the results shown in the table below. Find the average and standard deviation for each of the two angles, and then find the covariance . The students now calculate the ? ? q = + . Find the best estimate for q and the standard deviation q . Recalculate q assuming errors in and are
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Explain each shape with diagram and the formulas of area for the first 4 shapes : 1) Circle 2) Rectangle 3) Square 4) Triangle 5) Line 6) Line segment 7) Ray I will downvote your answers even you missed at least 1 shape and missing the diagram of 1 shape I want the full answer 100%

Solve the inequality. x ( x + 2 ) ( x - 2 ) 0 Solution Set ( in interval notation ) :
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A chi - square distribution with 6 degrees of freedom is graphed below. The region under the curve to the right of 4 is shaded. Find the area of the shaded region. Round your answer to three decimal places.
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Suppose A is a 4 4 coefficient matrix for a homogeneous system of equations. A ) If rank ( A ) = 4 , then the homogeneous system will have ( select all that are possible ) : No solutions Exactly one solution Infinite Solutions B ) If rank ( A ) = 2 , then the homogeneous system will have ( select all that are possible ) : No solutions Exactiy one
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6 - ( \ log 4 ) / ( \ log 2 ^ ( 3 ) ) + \ log _ ( 3 ) ( 1 ) / ( 9 )

A random sample of n=100 observations is drawn from a population with a mean equal to 23 and a standard deviation equal to 20 . a. Find the probability that x is less than 17 . b. Find the probability that x is greater than 24 . c. Find the probability that x falls between 17 and 25 . Click the icon to view the table of normal curve areas. a. The
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Given the table below, determine whether y is a function of x , and if the function is one - to - one. \ table [ [ x , y
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Consider the numbers 4 , 5 , 6 , and 8 . If the same number is added to each of the numbers, it is found that the ratio of the first new number to the second is the same as the ratio of the third new number to the fourth. What is the number?
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Solve the system of equations by the substitution method. If the system does not have a single ordered pair as a solution, state whether the system is inconsistent or dependent. 4 x - y = 3 3 x - y = 1
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5 . 1 The Rectangular Coordinate System Question 2 0 of 2 0 ( 1 point ) I Question Attempt: 1 of Unlimited Part 1 of 2 The center is Part 2 of 2 The radius is ( Use the exact value. )
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Given the functions below, find the domain of ( f @ g ) ( x ) . f ( x ) = 1 - 1 0 x + 3 , g ( x ) = 1 - 5 x - 6 Report your answer in fraction form when necessary. If there are multiple intervals, report your answer using the union symbol.
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Q 1 . Four different mixing techniques are being examined for the compressive strength of concrete. The following data have been collected. ( a ) Test the hypothesis that mixing techniques affect the strength of the concrete. Use \ alpha = 0 . 0 5 . Use the formulations to find SS , MSE, and F values. ( b ) Analyze the residuals from this

( a ) more than 1 . 6 ? ( b ) less than 0 . 7 1 ? Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table.
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Assume the line L goes through the point ( 1 , 2 ) and is parallel to y = 3 x + 6 . Which of the following expressions is the equation of L ? ( A ) y = - ( B ) y = 4 - 2 ( Cy - 3 0 - 5 D 9 = 2 0 ( E ) = 3 1 - 1 . ( A ) k Save and Submit to save and submit. Click Save All Answers to save all answers.

Jobs and productivity! How do banks rate? One way to answer this question is to examine annual profits per employee. Forbes Top Companies, gave the following data about annual profits per employee (in units of one thousand dollars per employee) for representative companies in financial services. Companies such as Wells Fargo, First Bank System,

where did i go wrong as tbe corrwct answers are written next to the question xfx(x),fx(x)=cx,x>0 1.) E(x)= ?, should be 2.) E(g(x))=E(x2), should be 2 A1.) E(x)=1xf(x)dx=1x(ex)dx=xexex1=0? A2.)E(x2)=1x2f(x)dx=1x2(ex)dx=x2ex2(exx=c]?
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Solve and find the value of a , given 3 a + 4 ( 1 5 - 2 a ) = 2 0 Select one: A . a = 1 6 3 B . a = 5 C . a = 7 D . a = 8 E . a = - 1
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1. Federalism and State Subjects: *How does the distribution of state subjects in a federal system contribute to the balance of power between the central government and the states? Provide examples to illustrate the impact on governance and policymaking.*
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tell the difference between the simple, random sampling and systematic sampling B use TI 84 calculator to draw a simple random sample of size equals 10 from a sampling frame. That is a size equals 1000 hint you are expected to demonstrate how you will select the sample c using the TI 84 calculator to draw a systematic sample of size equals 10 from

The figure shown to the right contains a scatter plot of 1 0 data points for trees, where the diameter of a tree at breast height ( Dbh ) is given in inches and the height is given in feet. The regression model is shown below, where x is the Dbh in inches and y is the height in feet. y = 1 . 1 2 x + 0 . 6 2 ( A ) Interpret the slope of the model.
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x ( x - 1 ) 1 0 d x
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Question 1 ( 1 point ) Find P ( Z > - . 9 8 ) . Round answer to 4 decimal places. Answer:
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