Questions

7 Triangle ABC is a right triangle with C 90 If a 1 and b 5 find cos B sin B and tan B Give exact values

9 Find to the nearest tenth of a degree if cos 0 0 2 0 0 90

7 Triangle ABC is a right triangle with C 90 If a 1 and b 5 find cos B sin B and tan B Give exact values

2 A boat travels 75 miles on a bearing of N 20 E and then changes its course to travel 25 miles at N 65 E a How far north and how far east has the boat traveled b What is the distance of the boat from its starting point Round your answers to the nearest tenth

Find the exact simplified value of the expression cos 60 2 sin 45

Simplify the following expression completely sin x cos x 1

Which of the following statements is are TRUE i European nations had been colonizing for centuries and in the late 1800s began to focus on Africa for its raw materials and markets ii Britain France Belgium Italy Germany Portugal and Spain did not split the continent among themselves iii European nations staked their claims and signed treaties to reserve colonies and avoid wars

Which of the following verbs are conjugated in the past tense Select ALL that apply TRABAJAR to work CELEBRAR to celebrate COMPRAR to buy O trabaj compr celebraste O trabajan compran

Which of the following reflexive verbs are conjugated in the past tense Select ALL that apply ENAMORARSE to fall in love GRADUARSE to graduate CASARSE to get married

Select the correct verbal form to complete this sentence Nosotros no escuchamos O escucho escuchar el tel fono

Select the correct verbal form to complete this sentence Julio abri O abri abrir la ventana antes de ir a la cama

The J R Ryland Computer Company is considering a plant expansion to enable the company to begin production of a new computer product The company s president must determine whether to make the expansion a medium or large scale project Demand for the new product is uncertain which for planning purposes may be low demand medium demand or high demand The probability estimates for demand are 0 34 0 50 and 0 16 respectively Letting z and y indicate the annual profit in thousands of dollars the firm s planners developed the following profit forecasts for the medium and large scale expansion projects Demand Medium Large Which decision is preferred for the objective of minimizing the risk or uncertainty Low Medium High a Compute the expected value to 2 decimals for the profit associated with the two expansion alternatives Medium S thousand thousand Large S Which decision is preferred for the objective of maximizing the expected profit Select your answer preferred b Compute the variance to 2 decimals for the profit associated with the two expansion alternatives Medium Scale Expansion Profit f x 0 34 I 50 150 200 0 50 0 16 Large Scale Expansion Profit f y 0 34 0 50 0 16 Y 0 100 300

2 Determine whether the following mathematical models differential equations are ODE or PDE What is the order of the ODES a x 4x 16x 6t 5 a p a p b a1 x c C ap x t p x d x 5x 25 du x t at

roblem 5 Consider the following series A F n 1 Find a simplified expression for the ratio Problem 5 H 5 2n 1 4 7 3n 1 5 2n 1 3n 4 3n 3 3n 2 5 2n 2 2n 1 3n 4 G 5 2n 2 3n 4 3n 3 3n 2 B 5 2n 2 3n 4 an 1 an H C 5 2n 1 3n 2 5 2n 2 2n 1 3n 4 3n 3 3n 2 D 5 2n 1 3n 4 E 5 2n 2 2n 3n 2

Calculate the equivalent capacitance between points a and b in the combination of capacitors shown in the figure below if C 3 95uF C 7 17uF C 5 00uF and C4 6 04uF 0 0000129 pF Submit Answer Incorrect Tries 1 10 Previous Tries C2 CA JO

Identify each phrase as a characteristic of prokaryotes or eukaryotes Animals and plants Bacteria and Archaea Nucleus and mitochondrion Range from 10 100 um in diameter Average 1 0 m in diameter Prokaryotes Nucleoid and pili Eukaryotes SPR WAR

blem 5 Consider the following series Problem 5 A n 1 Find a simplified expression for the ratio F 5 2n 1 4 7 3n 1 5 2n 1 3n 4 3n 3 3n 2 5 2n 2 2n 1 3n 4 Select v G 5 2n 2 3n 4 3n 3 3n 2 B 5 2n 2 3n 4 an 1 an H C 5 2n 1 3n 2 5 2n 2 2n 1 3n 4 3n 3 3n 2 D 5 2n 1 3n 4 5 2n 2 2n 1 3n 2

The demand for a product of Carolina Industries varies greatly from month to month The probability distribution in the following table based on the past two years of data shows the company s monthly demand Unit Demand 300 400 500 600 Probability 0 16 0 27 0 42 0 15 a If the company bases monthly orders on the expected value of the monthly demand what should Carolina s monthly order quantity be for this product The monthly order quantity should be units b Assume that each unit demanded generates 63 in revenue and that each unit ordered costs 53 How much will the company gain or lose in a month if it places an order based on your answer to part a and the actual demand for the item is 389 units Select your answer

Find the circumference of each circle given its radius or diameter Round your answers to two decimal places a d 18 in in b C d r 8m m 14 cm cm 2 5 ft ft

Find the area of each composite figure All curves are circular arcs with centers shown Round your answers to two decimal plac a Need Help 6 cm 410 2 cm 9 cm cm 4 2 m m Read It 3 6 m

The area A of a cross section through the center of a sphere is given Find the surface area of the sphere in A 42 in

You want to make a skirt to go around the bottom of a round chair with a radius of 1 foot What is the minimum length of fabric needed for the skirt to wrap the entire way around the chair Round your answer to two decimal places ft Nond Help

The circumference C of a sphere is given Find the surface area of the sphere Round your answer to two decimal places cm C 46 9 cm

Find the area of each circle given its radius or diameter Round your answers to two decimal places a r 2m b d m d 14 ft ft 13 in in 24 cm cm

Find the volume of each sphere Round your answers to two decimal places a in 8 in 18 ft ft3

The solid contains a cone and a hemisphere Find the volume of the composite solid Round your answer to two decimal places in 7 in 9 in

In the figure shown below two semicircles separate a circle into two regions Two of the ends of the semicircles meet at the center of the circle and the other ends lie on a diameter of t circle Round your answers to two decimal places 6 mm Find the length of the curve that separates the regions mm 1 Find the area of the shaded region mm

A pastry bag full of frosting forms a cone with the dimensions shown Find the volume of frosting in the pastry bag Round your answer to two decimal pla in 5 6 in PASTRY BAG 16 in

a Find the diameter of the circle m 3 m b Find the radius of the circle in 12 in

is the condition presented in the pedigree below autosomal dominant autosomal recessive or sex linked OPKU heterozygote carrier PKU homozygote 100 66 O sex linked recessive O Not enough information to determine O autosomal recessive O autosomal dominant

The following table provides a probability distribution for the random variable y a Compute E y to 1 decimal X 5 2 b Compute Var y and a to 2 decimals Var y X X E Y 35600 8 f y 0 20 0 30 0 40 0 10

The solid contains a cone and a hemisphere Find the volume of the composite solid Round your answer to two decimal places in Need Help 7 Read It 7 in N 9 in

6 1 Points DETAILS LARMPMT1 12 3 024 MY NOTES ASK YOUR TEACHER PRACTICE ANC A sphereing ball contains a sphere within a sphere The diameter of the inner sphere is 2 2 meters The outer sphere of the sphereing ball has a diameter of 9 meters find the within the outer sphere but

A pastry bag full of frosting forms a cone with the dimensions shown Find the volume of frosting in the pastry bag Round your answer to two decimal plac In 3 5 6 in PASIRY BAC 17 in

If the variation in the residuals is less than the variation in the response variable then the model does not explain some of the variability in the response the model explains some of the variability in the response there is an error in process

3 Let fi n 2n 4n 3 f2 n 2n 4n 3 and f3 n 2n 3n 4 be three functions defined on Z Which two of them are injective Please explain precisely why and why the third one is not injective

20 1 point For a period of time an island s population grows exponentially If the continuous growth rate is 2 per year and the current population is 1613 what will the population years from now 1730 1068 2824 1855

17 1 point Mark is investing 47 000 in an account paying 5 26 interest compounded continuously What will Mark s account balance be in 17 years 114 925 39 114 925 46 114 921 47 114 932 80

3 1 point Condense the following Logarithmic expression In 6 6 ln z In y In O In 6 0 6 2 5 y In 6 v 2 In

18 1 point Jeremy is investing 47 000 in an account paying 9 26 interest compounded continuously What will Jeremy s account balance be in 42 years 2 295 840 63 2 197 362 46 2 289 042 36 2 296 973 35

16 1 point What is the Domain and Range of the following y 4 3 Domain All Real Numbers Range y 0 Domain x 0 Range y 0 Domain All Real Numbers Range All Real Numbers Domain All Real Numbers Range y 0 Previous

19 1 point Jimmie invested 27 500 at 6 27 compounded continuously What will Jimmie s account balance be in 50 years 29 279 45 632 187 49 688 423 41 37 625 65

5 1 point Solve each equation Round to the nearest ten thousandth logg 2x15 3 512 263 5 248 5 507

5 In how many ways can we put 15 identical silver coins into five numbered boxes so that i every box contains at least one coin ii every box contains an odd number of coins ie 1 3 5 etc iii every box contains an odd number of coins and there are more coins in box 1 than in box 2 REMARK If the answer is eg 3 50 you don t have to compute the numerical answer 546875 Just write 3 50 as the final answer

EACH PROBLEM WILL BE GRADED 0 15 1 For how many elements n 0 1 600 is the following statement true n is divisible by 8 or by 12 and n is not divisible by 5

poin Suppose the price of gasoline decreases from 3 90 to 2 60 and in response quantity demanded increases from 10200 to 11200 Using the mid point formula what is the price elasticity of demand Note your answer should be correct to two decimal places and be sure to express your answer as a positive number

Folve the right triangle ABC with C 90 B 74 0 b 119 in the right triangle ABC with C 90 A 16 Simplify your answer Type an integer or a decimal me length of side a is approximately 34 1 in implify your answer Type an integer or a decimal Round to the nearest tenth as ne e length of side c is approximately inf implify your answer Type an integer or a decimal Round to the nearest tenth as n

The shape below contains a triangle and a semi circle 9 Round your responses to two decimal places What is the perimeter of the shape above What is the area of the shape above 12

Interior designers make interior spaces functional safe and beautiful by determining space requirements and selecting decorative items such as colors lighting and materials They read blueprints and must be aware of building codes and inspection regulations as well as universal accessibility standards Many work for the specialized design services industry or for the architectural engineering and related services industry In 2014 about 25 were self employed Interior designers usually need a bachelor s degree with a focus on interior design The median annual wage for interior designers was 48 400 in May 2014 SOURCE Bureau of Labor and Statistics U S Department of Labor Occupational Outlook Handbook 2016 2017 Edition Interior Designers Interior designers typically specify materials and furnishings such as lighting furniture wall finishes flooring and plumbing fixtures They create a timeline for the project and estimate project costs The Millers have hired an interior designer to decorate their family room They want to have a 25 by 30 oil painting framed and incorporated in the design plan If the designer chooses molding that is 2 wide and is priced at 3 45 per inch how much will the molding cost before tax 30

Here is a figure made of two circles inside of one circle 7cm two circles within a circle What is the area of