Math - Others Questions

The vault shown is in the shape of a cube If each side is 3y feet find its volume The volume of the vault is 3y

The square shown has sides of length 8z7 decimeters Find its area The area of the square is equal to

The rectangle to the right has width 8x5 feet and length 7x feet Find its area as an expression of x The area of the rectangle is Simplify your answer 8x feet 7x feet

The number of serce in the product is the same as the exponent 800 10 8 000 10 x 10 80 000 andard form is 80 000 x 10 x 10 x 10 with an exponent 10 with an exponent he standard form of 107 Write this number in standard form Use patterns to help 4005 7 10 x 100 7 x 1 000 7x10 000 4 000 16 20 x 100 X 10 9 3 x 104 13 10 000 x 2 Exponents and Powers of 10 mber of zeros in the product for 6 5 10 5x10 5 103 5x104 10 1 000 9 14 8 x 105

Multiply 6y 6 6y 6 1 Simplify your answer Do not fac

Multiply 3x 4x 2x 5 2 3x 4x 2x 5 Simplify your answer

Multiply a 5 a 8a 8 a 5 a 8a 8

Use the distributive property to write the expression without parentheses Then simplify the result if possible 1 1 2 12x 22 3 2 12x 22 Use integers or fractions for any numbers in the expression

The number of vinyl album sales in millions in a country x years after 2010 is given by the polynomial 2 0 16x 0 9x 3 3 for 2010 through 2016 Use this model to predict the number of vinyl album sales in the country the year 2030 x 20 The number of vinyl album sales in the country in the year 2030 will be Simplify your answer Type an integer or a decimal million

Simplify the expression 10 4 5x 3y 10 4 5x 3y

Simplify the expression 4k 2k 5 4k 2k 5

Write the following as an algebraic expression Simplify if possible Add 5y 9 to 4y 8

Factor out the greatest common factor from the polynomial 4x 8 4x 8 Type your answer in factored form

Find the area of the rectangle The area of the rectangle is cu yd yd 5x 7 yards Simplify your answer 5x 7 yards

Multiply 5x 5 3x 4 5x 5 3x 4 Simplify your answer Do not fac

Use the distributive property to write the following expression without parentheses Then simplify the resul 5 4x 4 2 5 4x 4 2

Perform the indicated operation Don t forget to simplify if possible Subtract 6x 4 from 2x 5 The result of subtracting 6x 4 from 2x 5 is Simplify your answer

Write an expression for the length of the rectangle Hint Factor the area binomial and recall that Area width length Area is 3x 9x square units 3x units

Factor out the GCF from the given polynomial 36x 2

Factor out the GCF from the polynomial 4x 20y 4

Factor out the GCF from the polynomial 2 48xy 147x

Find the GCF for the list 7 4 7 75a b c 45a b C 3

Find the GCF for the list 4 5 3 175x 35x 7x

Find the GCF for the list 3 2 245y 98y

Find the GCF for the list 3 6x 15x

Find the area of the triangle 10x inches 3x 1 inches

Find a polynomial that represents a the area and b the perimeter of the square a The area is represented by Simplify your answer b The norimotor in Simplify 4x 3

Find the area of the rectangle 4x 7 yards 4x 7 yards

Find polynomials that represent a the area and b the perimeter of the rectangle 5x 7 y 1 a Find the area The area is Simplify your answer Find the perimeter The perimeter is Simplify your answer

259 234 132 29 277 123 510 333 25 423 43 165 115 34 133 89 212 120 887 567 466 133 Write the Excel equations using Excel functions that will calculate the Mean Median and Mode for the data in column C Write these equations on paper and the results to be handed in the designated spot before the start time of class Write your equations in the three highlighted boxes Mean Median Mode Please do not turn it in using Canvas

An angle 0 determines a rotation over an axis whose direction is determined by a unit vector Find the transformation matrix that matches this rotation if

Day Frequency Relative Frequency Mon 1504 Tue 1880 Wed 2402 Thur 2566 Fri 3576 Give the relative frequencies for each day Show your deta calculations Use at least four digits to the right of the deci

Manually show your detailed work finding the mean median and mode for the following data Use at least four digits to the right of the decimal when rounding 24 65 61 32 87 52 60 98 31 53 76 98 23 54

21 Elan makes time every day at the end of basketball practice to work on his free throws During one week he makes 11 15 19 23 and 27 throws Assuming this sequence continues find the recursive and explicit rules

Exercise 3 2 Reduce the following Kuhn tre 5 1 2 3 0 4 e II I 6 0 START a 1 3 0 6 b I Chance 2 3 h 0 0 II 2 3 i

Suppose that the only good you purchase is premium bottled water and that at the beginning of the year the price of a bottle is 2 00 Suppose you lend 1 000 for one y at an interest rate of 13 9 percent At the end of the year the price of premium bottled water has risen to 2 13 Calculate the real interest rate on the loan 96 Enter your response as a percentage rounded to one decimal place

Given the following demand data compute a simple exponential smoothing forecast for alpha values of 0 3 and 0 5 Use the actual value in Period 1 as your starting forecast in Period 2 Round all answers to two decimal places Use these rounded answers when computing subsequent answers Period Actual Demand 77784 OSAWNA 1 2 3 4 5 6 10 11 Period 1 2 4 5 6 7 8 9 10 11 32 30 2 mmmmmmm 29 32 33 33 35 32 32 30 30 Answer is complete but not entirely correct a 0 3 a 0 5 Forecast Forecast 32 00 31 40 30 68 31 08 31 66 32 06 32 94 32 66 32 46 31 72 32 00 31 20 X 30 32 X 30 99 31 79 32 27 X 33 36 32 82 X 32 49 X 31 49 X

In February 2022 the nominal interest rate on the one year Treasury bill was 0 97 percent From February 2022 to February 2023 the consumer price index rose from 284 6 to 301 6 If you bought the one year Treasury bill in February 2022 the interest rate you eamed over the following 12 month period was Enter your answer rounded to two decimal places and include a minus sign if necessary Real time data provided by Federal Reserve Economic Data FRED Federal Reserve Bank of Saint Louis

In Australia there were 4 494 dialysis patients and 4 010 transplant dependent patients At that time there were approximately 9 4 million citizens in Australia What is the prevalence rate for transplant dependent patients per million Remember this is the constant so you multiply by 1 000 000 O 478 1 per million O 426 6 per million O 468 3 per million 4322 per million

The legislature in a state has 42 seats Apportion these seats to the five counties below using Jefferson s method

Let U all soda pops A all diet soda pops B all cola soda pops C all soda pops in cans and D all caffeine free soda pops Describe the given set in words Anc OA All diet soda pops and all soda pops in cans OB All non diet soda pops in cans OC All non diet soda pops and all soda pops in cans O D All diet soda pops in cans

1 Show that f using the expressions for and f in Cartesian coordinates Use result from a the product rule for divergence fF f F f F an df the chain rule for gradient Vf g g to show that dg f r f f r 2f r dr r for a function f of r the magnitude of 7 Hint Let g r and recall from class that Vr f

Americans spent 277 billion on new automobiles in 2017 How much is that per person assuming the US population is 327 million Round your answer to the nearest tenth

Use the Venn diagram to answer the question In 2016 among the top 100 grossing movies in a particular country 12 were rated PG 13 and earned over 100 million The number of movies that were rated PG 13 that earned less than 100 million was 44 The number of movies that were not rated PG 13 that earned less than 100 million was 32 What was the number of movies that earned over 100 million and that were not rated PG 13 The number of movies that earned over 100 million and were not rated PG 13 was Type a whole number CO

Use a Venn diagram to answer the question A survey of 118 college students was done to find out what elective courses they were taking Let A the set of those taking art B th set of those taking basket weaving and C the set of those taking canoeing The study revealed the following information n A 45 n B 55 n C 40 n An B 12 n An C 15 n B n C 23 n An BnC 2 How many students were not taking any of these electives OA 36 B 28 C 10 D 26

Let U q r s t u v w x y z be the universal set Let A q s u w y B q s y z and C v w x y z List the members of the indicated set An B OA q s t u v w x y B r s t u v w x z C u w D t v x

Use a Venn diagram to answer the question At East Zone University EZU there are 738 students taking College Algebra or Calculus 480 are taking College Algebra 298 are taking Calculus and 40 are taking both College Algebra and Calculus How many are taking Algebra but not Calculus OA 698 B 258 O C 400 D 440

Find the complement of the set x x is an integer strictly between 0 and 25 if the universal set U is the set of all integers OA x x is an integer 20 OB x x is an integer 25 OC xlx is an integer 0 or 25 OD x x is an integer 20 or 25

where C 57 3 4 5 C C C e3 3 10 log27 C 3 7 x 106 10 25 x 105 23366 23 x 6 3 x 1011 Use the appropriate built in functions for the exponent the logarithm the trigonometric functions Only display the values of A B and C to the Command Windo using format short All variable values can be found in the Workspaco

Perform the following calculation write your answer to the correct number of significant figures You must write your answer as a standard number like 695400 or 0 00004257 not in scientific notation 2 1 x 10 2 5 33 10 8 358 x 10 4 7 30 10 6 Type your answer