Basic Math Questions and Answers

Find the magnitude of the projection of 4 5 onto the vector 2 4 Round your answer to at least one decimal place if needed Submit Question

Find the magnitude of the projection of 4 7 onto the vector 1 6 Round your answer to at least one decimal place if needed Submit Question

A ferris wheel is 96 feet in diameter and boarded from a platform that is 4 feet above the ground The six o clock position on the ferris wheel is level with the loading platform The wheel completes one full revolution every 12 4 minutes At 1 0 you are at the three o clock position and begin to descend Suppose the height A in feet of the Ferris Wheel car at time t in minutes is given by h f t a Which of the following graphs best fits the model N N N N n b The period of fir is Number c The amplitude is Number O d The midline is y Number e In the graph in part a the maximum of the graph in the first cycle first occurs when A Number Number

Ha 3 2 1 4 3 2 1 2 3 4 5 1 2 3 4 The graph below can be represented by parametric equations of the form x t a cos t y t b sin t If a and b are positive values a Question Help Video and b

If x x x then what is the value of a 1 2 A B C 1 D 4 3

Let a 3 5 and b 0 k Find k so that a and b will be orthogonal form a 90 degree angle 772 k Submit Question

Let a 5 5 and 6 2 5 Find the angle between the vector in degrees Round your answer to at least one decimal place if needed Question Help Video Submit Question

Let 1 1 and 6 1 1 Find the angle between the vector in degrees Round your answer to at least one decimal place if needed Question Help Video Submit Question

Find R and 8 given the components R 4 788 and R 8 008 R 9 330 Round to the nearest thousandth as needed 8 Type your answer in degrees Use angle measures greater than or equal to 0 and less than 360 Round to the nearest tenth

Let 4 5 and b 3 k H Find k so that a and b will be orthogonal form a 90 degree angle k Submit Question

u Write the vector shown below as a combination of vectors u and 7 shown above

An example of a quartic function f x with zeroes 2 0 1 4 and such that f x as X is Of x x x 2 x 1 x 4 Of x x x 2 x 1 x 4 Of x x x 2 x 1 x 4 Of x x x 2 x 1 x 4

The vector u has length 16 and points at an angle of 10 The vector has length 12 and points at an angle of 30 Round your answer to at least one decimal place if neede

Question 1 Mandatory 1 point Refer to the graph below Which statement is false 10 The degree is even The degree equals the number of turning points It has a minimum value The leading coefficient is positive

Which of the following graphs will have positive leading coefficients check all that apply 4 t

The accompanying data set available below shows the amount of phosphates per load of laundry in grams for a random sample of various types of detergents used according to the prescribed directions For the given phosphate data find a the mean b the median c the mode Click the icon to view the phosphate data a x 34 42 Round to two decimal places as needed b x 32 5 Round to two decimal places as needed c Select the correct choice below and if necessary fill in the answer box to complete your ans OA There is one mode The mode is Do not round B There is more than one mode The modes are Use a comma to separate answers as needed Do not round OC There is no mode Help Phosphate Data re 7 41 0 67 of 9 points Points 0 33 of 1 Laundry Detergent ABCDEFGHISKL Phosphates per Load grams 51 46 43 43 42 35 30 26 25 25 25 22 Sav

Closing Entries with Net Loss Summit Services Co offers its services to individuals desiring to improve their personal images After the accounts have been adjusted at May 31 the end of the fiscal year the following balance were taken from the ledger of Summit Services Fees Earned Dividends Rent Expense Retained Earnings Supplies Expense Wages Expense Miscellaneous Expense Journalize the closing entries required to close the accounts If an amount box does not require an entry leave it blank May 31 Fees Earned 207 000 Retained Earnings Wages Expense Rent Expense Supplies Expense Miscellaneous Expense May 31 Retained Earnings 207 000 29 000 43 200 460 000 10 600 181 700 5 100 Dividends 397 400 X 0 0 0 0 29 000 0 0 0 181 700 43 200 10 600 5 100 0 29 000

Available Jun 25 at 11 59pm Jul 3 at 11 59pm A data set is summarized in the frequency table below Using the table determine the number of values less than or equal to 7 Value 2 3 4 5 6 7 8 9 19 Frequency 4 6 2 3 9 5 4 3 5

Moment The moment generating function of the random variable X having a chi squared distribution with v degrees of freedom is My t 1 21 show that the mean and variance of the chi squared distribution with v degrees of freedom are respectively v and 2v Express the mean of X u in terms of a moment about the origin of X P P1 This moment about the origin can be found by evaluating Mx 0 0 For any value of t the derivative identified in the previous step is Use

Let X have the probability distribution f x J UP 1 0 x 1 0 elsewhere y 1 2 3 Use integers or fractions for any numbers in the expression 1 2 What formula can be used to find the probability density function of Y OA g y f w y J f w y J B g y Show that the random variable Y 2 In X has a chi squared distribution with 2 degrees of freedom OC g y f w y J D g y f w y Now find the probability density function of Y for y 0 A

Let X have the probability distribution f x J c g y f w y J D g y f w y J Now find the probability density function of Y for y 0 g y 1 0 x 1 0 elsewhere 2 Show that the random variable Y 2 In X has a chi squared distribution with 2 degrees of freedom Use integers or fractions for any numbers in the expression How does this show that y 2 In x has a chi squared distribution with 2 degrees of freedom OA The probability density function of Y g y is the antiderivative of the chi squared distribution function c y 2 OB The probability density function of Y g y is the inverse of the chi squared distribution function c y 2 OC The probability density function of Y g y is the chi squared distribution function c y 2 tu function of Y q y is the derivative of the chi squared distribution function c y 2

OSCAGC05501q054P The path of an object projected at a 45 degree angle with an initial velocity of 80 feet per second is given by the function h x where z is the horizontal distance traveled in feet and h a is the object s height in feet 32 x x 80 Use a graphing calculator or another graphing utility to determine the height of the object when it has traveled 60 feet horizontally Give your answer to the nearest tenth of a foot

The reaction times for a random sample of 9 subjects to a stimulant were recorded as shown below 2 3 2 7 3 8 2 1 2 8 2 2 3 1 3 7 4 3 Calculate a the range 1 b the variance using the formula of form s n 1 n x x 1 1 a R 2 2 Type an integer or a decimal Do not round b s Round to two decimal places as needed 27

he reaction times for a random sample of 9 subjects to a stimulant were recorded as shown below 4 3 2 3 2 7 3 8 2 1 2 8 2 2 3 1 3 7 Calculate the range the variance using the formula of form s S 1 1 Type an integer or a decimal Do not round

Find R and 0 given the components R 8 137 and R 0 083 R Round to the nearest thousandth as needed Type your answer in degrees Use angle measures greater than or equal to 0 and less than 360 Round to the nearest tenth as needed

p r a r Show that the rth moment about the origin of the gamma distribution is a Hint Substitute y H X in the integral defining u and then use the gamma function to evaluate the integral Start with the definition of the rth moment of a random variable with a probability distribution f x JOrx dx 0 Simplify your answer Next question

who apply for graduate school usually must take the GRE exam The following boxplots were constructed from GRE quantitative scores which take values between 130 and 170 of men and women at a state college A B D E T 140 Which of the following is a possible boxplot for the combined score of all the students 140 140 Men 140 Women 150 150 150 140 150 160 160 160 150 160 170 170 170 170 160 THO 170

Convert 40 degrees to radians Convert 11 T 9 to degrees I radians degrees

5TT 4 Convert the angle from radians to degrees A dogrogr

m E 85 and m B and m B 95 Angles E and B are complementary supplementary O neither complementary nor supplementary

Fuzzy Button Clothing Company is analyzing a project that requires an initial investment of 600 000 The project s expected cash flows are Year Year 1 Year 2 Cash Flow 300 000 175 000 Year 3 500 000 Year 4 450 000 Fuzzy Button Clothing Company s WACC is 9 and the project has the same risk as the firm s average project Calculate this project s modified internal rate of return MIRR 14 99 15 82 16 65

5 5 2 2 Suppose the production function is p x y x y the price of good x is 4 the price of good y is 1 and the price of the output is 10 What values for x and y will maximize the profit given this information Also solve for whether there is diminishing marginal product with respect to each of the inputs and whether there is diminishing technical rate of substitution for this production function

Solve the equation for x Select all of the correct answers x 2 27 G 3 3 9 3 3 3 9 3 27

Determine the amplitude period any vertical translation and any phase shift of the given gra X 4 y 2 sin

You have 300 000 saved for retirement Your account earns 5 interest How much will you be able to pull out each month if you want to be able to take withdrawals for 15 years Round your answer to the nearest dollar

a Evaluate arctan ez log2300 572 23 sin x cos 23x dy Note Looks scarv right It s actually not Look closely

Sketch the graph of the given function y 4 cos 4xx Choose the graph that shows two periods of y 4 cos 4xx OA JAA O D AA OB OE AAA AY Q 19 Q MA O C O F

Solve the triangle a 7 c 6 B 97 9 What is the length of side b Select the correct choice below and if necessary fill in the answer box within y OA b Round to the nearest tenth

Sketch the graph of the function below Check the graph using a graphing calculator y 200 cos x Choose the correct graph below O A AY 250 250 Q 250 GOLLE Q O B O C Ay 250 250 ja ju Next question 250 D Ay 250 250

Sketch the graph of the given function y 5 sinx Choose the correct graph below OA 10 6 0 6 10 C 10 6 0 10 HITS O C 4 2 Q

Find R and 8 given the components R 4 788 and Ry R 8 008

Find the area and the perimeter of the rectangle shown to the right The area of the rectangle is The perimeter of the rectangle is Y GECOM 9 m

The rotation of the smaller wheel in the figure causes the larger wheel to rotate Find the radius of the larger wheel in the figure if the smaller wheel rotates 80 0 when the larger wheel rotates 50 0 The radius of the large wheel is approximately cm 11 4 cm OC r

the exact length of the arc intercepted by the given central angle in the figure to the right ECCLE The length of the intercepted arc is Type an exact answer in terms of Use integers or fractions for any numbers in the expression www 5m 3 15

Find the radius of the circle in the figure to the right EXXE The radius of the circle is Tyne an infor

Two gears are adjusted so that the smaller gear drives the larger one as shown in the figure If the smaller gear rotates through an angle of 300 through how many degrees will the larger gear rotate The larger gear rotates through approximately 3 3 cm

Let f 2 3 To graph f z we transform y I by stretch shrink choose your answer choose your answer vby a factor of choose your answer shift 4 units choose your answer and shift 3 units

Let f 2 2 4 To graph f x we transform y by stretch shrink vertically left vby a factor of 1 3 shift 2 units up V and shift 4 ura

he following cartesian state is given at epoch 5200 0 4600 0 km r L3100 1 4 90001 5 1000 km s 3 5000 umerically compute the state transition matrix for a state 2000 s later using finite differencing

The angle 8 is an integer e g 0 1 2 when measured in radians Give the radian measure of the angle It helps to remember 3 Q Ay 8