Basic Math Questions and Answers

In the circle patterns to the right each number in a large circle is the sum of the numbers in the two adjacent small circles The pattern on the left is complete but the pattern on the right needs to be completed Do so by letting x denote the value in one of the small circles Now obtain expressions and equations that let you solve for x and determine the values in all three small circles Suppose that x denotes the value in the lower small circle In terms of x what is the value in the upper left small circle Type an expression using x as the variable

Mrs Hong the science teacher informed her students of their scores on Monday s test Science test scores Stem Leaf 1 08 2 1148 3 46 4564WN 12388 1579 4 7 24579 How many students scored at least 10 points but fewer than 50 points students

he measure of one angle is shown in the figure Given k III find the measures of the other seven labeled angles

Suppose ABC is a right triangle with sides of lengths a b and c and right angle at C Find the unknown side length using the Pythagorean theorem and then find the values of the six trigonometric functions for angle B Rationalize denominators when applicable b 2 c 5 The unknown side length a is b A C B

Consider the three triangles of circles shown each pointing upward It is easy to see that the triangle of three circles on the left can be inverted that is made to point downward by moving one circle Use the triangles of circles to complete parts a through c below a What is the smallest number of circles that must be moved in order to invert the 6 circle triangle 2 circles b Show that the 10 circle triangle can be inverted by moving 3 circles O A B

Convert the angle to degrees minutes and seconds form 45 22

given figure suggests that the number of pieces into which a pie is divided is doubled with each additional cut across the pie Do you believe this is a valid generalization or can you find a counterexample 2 2 1 3 4 lect the correct answer below and fill in the answer box in your choice 5A This is not valid because a third cut across the pie could give pieces OB This is a valid generalization because a third cut across the pie always gives pieces

20 Let A 2 2 2 301 a Find the eigenvalues of A

1 F fo f f2 fs c then F 0 fi 2 0 cod Find a complex vector d so that if F fo f1 d

6 and Find the length of the hypotenuse side c of a right triangle with legs of length a b 12 Use a calculator to estimate the square root to one decimal place C 12 The length of the hypotenuse c is approximately The solution is ng zero depending on your

Use a net to find the surface area of the cylinder Use 3 14 for The surface area of the cylinder is about cm Round to the nearest tenth as needed cm 5cm The figure is not to scale

The Mayo Clinic using their name on a health newsletter is an example of a multibrand strategy True False

The most common way for healthcare services to achieve differentiation is through distribution True False

The central part of the marketing mix is the product True False

Recent price increases have pushed inflation to a 7 increase over the past year Wage rates have increased but productivity has not grown The unemployment rate is steady at 3 Which of the following changes in taxes government spending and the Discount Rate are most appropriate given the state of the economy Tax Rate Government Spending Discount Rate O increase decrease increase increase decrease decrease increase increase increase decrease increase decrease

Be mindful this is a timed test You have 90 minutes to complete the test Question 16 Which of the following is true in the circular flow diagram Firms are buyers in the product market Firms are sellers in the product market O Spending on goods and services flow from firms to households O Households are sellers in the product market

cm 1 1 pts Your width measurement cm 2 3 From the procedure 2 Calculate the area in cm of the rectangle using your measurements and the equation area length x width 4

Distribution is tightly controlled in the maintenance strategy True False

The objective of generating selective demand occurs in the growth stage of the product life cycle True False

The price ceiling that was used to control the price of housing in New York City and other cities O housing control rent control equilibrium price rent abatement

According to the cost push theory what is responsible for inflation Demand for goods and services exceeds existing supply O Producers raise prices to meet increased costs The economy is operating as though there was a war O Too much money is in circulation

Consider the following equation 5y10 3 4 2x Step 2 of 2 Find the equation of the line which passes through the point 8 1 and is parallel to the given line Express your answer in slope intercept form Simplify your answer

Consider the following equation 5x 6y 5y 4 Step 2 of 2 Find the equation of the line which passes through the point 8 1 and is perpendicular to the given line Express your answer in slope intercept form Simplify your answer Answer

Use sets U 1 2 3 4 5 6 7 8 9 10 A 1 2 3 7 and B 3 5 6 7 8 9 10 to find the elements of the set described below Enter your answer in roster notation Enter EMPTY or the empty set A n B

Evaluate the expression 64 2 16 11

Simplify the expression 125x6y 3

Write the equation of the line described through 6 2 and 2 8

Write the equation of the line described Through 6 3 and 7 2

Perform the indicated operation and simplify 5 5 1 6 x 8 x 6 X

125 8x Use the following factorization formulas involving cubes to factor the expression Factorizations with Cubes Perfect cube a 3a b 3ab b a b Perfect cube a 3a b 3ab b a b Difference of two cubes a b a b a ab b Sum of two cubes a b a b a ab b

Perform the indicated operations and simplify V12x3y10 27xy6

A 10 kN 1 1 5 m 1 5 m 3 kN m 2 2 m B 100 mm 200 mm PROBLEM 5 15 For the beam and loading shown determine the maximum normal stress due to bending on a transverse section at C

2 kN C 0 3 m D 8 kN 0 3 m E GO 0 3 m F 2 kN 0 3 m B 0 2 m 0 2 m PROBLEM 5 11 Draw the shear and bending moment diagrams for the beam and loading shown and determine the maximum absolute value a of the shear b of the bending moment

A 12 in Fig P5 12 600 lb 3600 lb in D 600 lb 8 in E 12 in B PROBLEM 5 12 Draw the shear and bending moment diagrams for the beam and loading shown and determine the maximum absolute value a of the shear b of the bending moment

t r A YB1 XB P x Y LP P V X y 3 x y 1 YA X dv 3 B C 0 YA JC 1 XR YB

A three Wheeler had an initial speed of 2 7 m s and a time varying deceleration of a 6 m s The total distance traveled before stopping can be determined from the use of the fundamental Forms

Word problem on area A rectangular table is 84 in long and 36 in wide Diane would like to use sealant to cover the table top The coverage of each square feet a Find the area of the table top in square feet Use the table of conversion facts as needed b Diane wants to cover the table top with sealant She doesn t have any to begin with and she can t buy partial bottles of sealant Each bottle of sealant covers 13 5 ft How many whole bottles of sealant will she need to buy in order to completely cover the table top bottles c If each bottle of sealant costs 13 how much will Diane need to spend on sealant 0 X Conversion facts for length 1 foot ft 12 inches in 1 yard yd 3 feet ft I yard yd 36 inches in G

Angelia White Learn 10 u IgNsikr7j8P3jH lis 5JdZFdonGg9plnQUm9kiGJhghYuAZLgh8TtLxc79wt0rOsdPzMZ2zsTQgKKpbnFFtsHt9jA O MEASUREMENT Word problem on area involving conversions of U S Customary A square floor is 12 ft long and 12 ft wide We want to carpet the floor with carpet tiles sold by the square yard a Find the area of the floor in square yards Conversion facts for length Use the table of conversion facts as needed I foot ft yd b We want to cover the floor with carpet tiles We don t have any to begin with and we can t buy partial boxes of tile Each box of carpet tile covers 6 yd How many whole boxes of carpet tile do we need to buy cover the floor order to completely boxes c If each box of carpet tile costs 86 50 how much will we need to spend on carpet tile 0 I yard yd I yard yd 12 inches in 3 feet ft 36 inches in

w awu aleks com O MEASUREMENT Word problem on area involving conversions of U S Customary poster is a rectangle 4 ft long and 2 ft wide We want to cover the poster with small stamps The coverage of each bag of stamps is measured in square inches a Find the area of the poster in square inches Use the table of conversion facts as needed b We want to cover the poster with small stamps We don t have any to begin with and we can t buy partial bags of stamps Each bag of stamps covers 106 in How many whole bags of stamps will we need to buy in order to completely cover the poster bags c If each bag of stamps costs 2 50 how much will we need to spend on stamps 0 X Conversion facts for length 1 foot ft 12 inches in 1 yard yd 3 feet ft 1 yard yd 36 inches in

Select the noun phrase to complete the sentence After the race the runner found Choose Choose a cool refreshing glass of homemade limeade that she had run her fastest time ever contentment that winning was just as satisfying as she d 3 5 6

Answer the questions below a A company has 31 salespeople A board member at the company asks for a list of the top 3 salespeople ranked in order of effectiveness How many such rankings are possible b 74 athletes are running a race A gold medal is to be given to the winner a silver medal is to be given to the second place finisher and a bronze medal is to be given to the third place finisher Assume that there are no ties In how many possible ways can the 3 medals be distributed 0

Answer the questions below a How many different committees of size 4 can be formed from 14 people b An experiment involves 30 participants From these a group of 5 participants is to be tested under a special condition How many groups of 5 participants are possible

Round the total cost to the nearest dollar and the cost to the nearest cent per collar 12 12142857

lding How high up the wall does the ladder reach e ladder reaches feet up the wall sound to the nearest whole number as needed CITS W 100 11

mine a t me area of the quadrilateralis 25

se area of the circle is e an integer or decimal rounded to the nearest hundredth as needed

olid 25 feet long 14 feet wide and around and wishes to put down rubber much to provide safety from falls The contractor wishes to put the much in a pit in the shape of a rect 6 inches deep a Determine the volume in cubic feet of mulch the contractor will need When appropriate use the x key on your calculator b If mulch costs 11 per cubic foot what will the cost of much be a The volume ist Type an integer or decimal

Problem 2 A simply supported beam AB L 10 m is loaded with a uniformly distributed forces w 10 kN m as shown in the figure Calculate all the reaction forces at A and B You can use either symbol or numbers for the calculation A L 4 w 10 kN m L 10 m L 4 B

w many cubic centimeters of water will a rectangular fish tank hold if the tank is 70 cm long 50 cm wide and 30 cm high When appropriate use the x key on yo 1 cm holds 1 ml of liquid how many milliliters will the tank hold 1 L 1 000 ml how many liters will the tank hold me tank will hold 105000 cm of water he tank will hold ml of water

used to apply icing to a cake is in the shape of a cone with a diameter of 8 in and a height of 8 in How much icing will this bag hold when full Use the x button a mag can hold oficing an integer or a decimal Round to the nearest hundredth as needed