Questions

Solve the logarithmic equation for x Enter your answers as a comma separated list log5 x 8 logs x 8 2 x

Solve the logarithmic equation for x Enter your answers as a comma separated list log21 x 3 log21 x 1 1 x

Solve the equation Enter your answers as a comma separated list Round your answers to four decimal places 5 35 5 2 0 x

Solve the equation Enter your answers as a comma separated list Round your answers to four decimal places e2x 7ex 6 0 x 1n 6 0

Solve the equation Enter your answers as a comma separated list 26 64 6 0

Solve the equation Enter your answers as a comma separated list Round your answers to four decimal places x25x 3xe5x5x 0 x

Make a rough sketch of the graph of the function Do not use a calculator Just use the graphs given in figures below and if necessary these transformati y 10x 5 9 4 y 10 4 2 1 5 0 Ay 3 IN 0 1 x y 2x y ex

Solve the equation Enter your answers as a comma separated list 5x3e 4x 8xe 4x 0 x

Find the exponential function f x Cax whose graph is given f x 2 y 2 2 81

The differentiation of neurons derive from neural crest cells requires the expression of O Neuregulin Edn3 Edn1 Neurturin Steel Fill in the blank

Consider the graph of y ex a Find the equation of the graph that results from reflecting about the line y 2 y b Find the equation of the graph that results from reflecting about the line x 2 y

Use the Laws of Logarithms to evaluate the expression log log 101000

Use the Laws of Logarithms to expand the expression log x y

Use the Laws of Logarithms to evaluate the expression log3 15 log3 35 log3 63

The Ininob Manufacturing Company produces three products widgets yamis and zots The company is trying to determine its production schedule for these products for the next month The company sells widgets for P500 each and zots for P400 each At these prices up to 200 widgets and 30 zots can be sold The price for yamis has not been decided Two prices are under consideration P500 and P600 At the P500 price up to 100 can be sold At the P600 price up to 60 can be sold Ininob purchases the raw material from which all three products are produced from a single firm Widgets require 0 1 tons of raw materials for each one produced Yamis requires 0 2 tons each and zots require 0 3 tons each Because of a shortage there are only 50 tons of raw materials available for production of all thre products The cost of the raw material is P200 per ton The first step in the production process for all three products is a molding and heating operation This requires a special purpose machine A maximum of 400 hours is available on this machine No additional hours can be obtained since the machine is already operating three shifts The variable cost of operating this machine is P80 per hour Each widget requires 1 hour on the machine each yami requires 2 hours and each zot requires 0 5 hours After the molding and heating operations described above the product is finished Zots are finished on a zotting machine It costs P5000 to set up this machine and P100 per zot finished Widgets and yamis are finished on a widgeting machine There is a cost of P10000 to set up this machine However once the machine is set up the machine can finished either widgets or yamis or both The variable cost of operating this machine is P100 per unit for either

Melosis 1 MEIOSIS Independent assortment Independent assortment takes place during Metaphase I This is when homologous chromosomes line up in the middle of the cell in a random orientation This results in different combinations of chromosomes in each daughter cell KEY 88 XX XX XX Drag drop the chromosomes from the parent cells into the daughter cells to show how the possible combinations of chromosomes Maternal chromosome came from the mother 88 s OO Paternal chromosome come from the father

Jim Ryan an owner of a Burger King restaurant assumes that his restaurant will need a new roof in 5 years He estimates the roof will cost him 9 700 at that time What amount should Jim invest today at 4 compounded quarterly to be able to pay for the roof Use the Table provided Note Do not round intermediate calculations Round your answer to the nearest cent Answer is complete but not entirely correct Amount to be invested 7 949 52

The length of a shadow of a tree is 115 feet when the angle of elevation of the sun is 25 Approximate the height of the tree in feet Round your answer to one decimal place ft

A Find the kernel and the range of the linear transformation 1 5pt T R R T x y R T x y z z y x 1 2 1 2 5pt A 0 2 1

Solve each equation for all solutions between 0 and 2 including 0 and 2 if they are solutions Give all answers as exact values in radians Do not use a calculator 7 4 sin x 3 2 sin x 8 3 5 sin x 3 sin x 9 2 cos t 6 cost 2 3 10 5 cost 2 3 cost

sin 3x sinx Cos3x cosx cot x y 2

Use the quadratic formula to find all solutions between 0 and 360 to the nearest tenth of a degree 33 2 sin 0 2 sin 0 1 0 34 2 cos 2 cos 0 1 0

Solve for 0 if 0 360 27 2 cos 0 V3 2 cos 0 1 0 28 2 sin 0 3 2 sin 0 1 0 29 3 tan 0 2 sin 0 tan 0 0 30 tan 0 2 cos 0 tan 0 0 31 2 cos 11 cos 0 5 32 2 sin 0 7 sin 0 3

Solve each equation for 0 if 0 0 360 Do not use a calculator 1 2 sin 01 2 2 cos 0 1

Find all solutions between 0 and 360 including 0 and 360 if they are solu tions Use a calculator on the last step and write all answers to the nearest tenth of a degree 13 4 sin 0 3 0 14 4 sin 3 0 15 2 cos 0 5 3 cos 0 2 16 4 cos 0 1 3 cos 0 4

Solve for x if 0 x 2 Write your answers in exact values only 19 sin x 1 2 sin x 1 0 20 cos x 1 2 cos x 1 0 21 tan x tan x 1 0 22 tan x tan x 1 0

545 pewresearch org A large majority 92 of Hispanic adults ages 65 and older say they ve seen a health care provider in the last 12 months Smaller majorities of younger Hispanic adults including 59 of those ages 18 to 29 say they ve seen a doctor or other health care provider recently Hispanics born in the U S are slightly more likely than those born in other countries to say they ve seen a doctor or other health care provider within the last 12 months 72 to 68 There are wide differences among Hispanic immigrants 55 of those who have been living in the U S for 10 years or less say they have seen a health care provider in the past year compared with 63 of those who have been in the U S 11 to 20 years and 77 of immigrants who have been in the U S more than 20 years Hispanic adults with health insurance are 28 percentage points more likely than those without health insurance to say they ve seen a doctor or other health care provider in the last 12 months 77 vs 49 Half of Hispanic adults without health insurance say they have not seen a provider within the last year The share of Hispanic Americans who are uninsured has declined over the last decade According to a KFF analysis of data from the American Community Survey 20 of Hispanic Americans under age 65 lacked health insurance in 2019 By comparison in 2010 before the implementation of the Affordable Care Act 33 of Hispanic Americans under age 65 did not have health insurance Even so Hispanic Americans remain more likely than other racial and ethnic groups including White and Black Americans to be uninsured There are similar patterns when it comes to having a primary care provider across these characteristics and experiences About half 48 of recent Hispanic immigrants living in the U S 10 years or less say they have a primary care provider Those without health insurance 41 and Hispanic adults under age 30 52 are also less likely than other Hispanic Americans to say they have a primary care provider

Find the exponential function f x Cax whose graph is given f x y 3 500

3000 A country that is the major supplier of a certain commodity wishes to improve its balance of trade position by lowering the price of the commodity The demand function is q 2 P a Compute E p b Will the country succeed in raising its revenue a E p Simplify your answer

Find the logarithmic derivative and then determine the percentage rate of change of the function at the points indicated f t 0 312 at t 1 and t 5 The logarithmic derivative is

81 For the demand function q 2 4 find E p and determine if demand is elastic inelastic or neither at p 4 p E p

For the demand function q 217 p find E p and determine if demand is elastic or inelastic or neither at p 87 E p

If f x 4 show that Rx 1 x 1 h if x 4 then xh 100 If

Find the logarithmic derivative and then determine the percentage rate of change of the function at the points indicated f p 5 p 3 at p 2 and p 7 The logarithmic derivative is

study conducted by the state highway department determined that with a toll of p dollars q cars will use the road each day where q 40 000e 0 4p Is demand elastic or inelastic at p 1 00 To determine if demand is elastic or inelastic the elasticity must be computed To compute the elasticity of demand for the given equation use the formula for elasticity What is the formula for elasticity OA E p pf p f p pf p OB E p f p pf p c E p f p pf p OD E p f p Notice that f p q 40 000e 0 4p is given in the problem statement but f p is not Calculate f p d f p 40 000e 0 4p dp

Notothenia nudifrons is a species of fish that inhabits Antarctic waters and lives at temperatures below 0 C yet maintains membrane fluidity and permeability comparable to mammals with much higher body temperatures What feature of membrane composition would you not expect to find in t species OA High concentrations of phospholipids with relatively shorted fatty acid tails OB High concentrations of cholesterol OC High concentrations of phospholipids with unsaturated fatty acid tails OD High concentrations of phospholipids with saturated fatty acid tails

5 4 3 2 1 13 12 11 10 9 8 7 6 5 4 B A2 1 5 6 7 1 2 3 4 The curve above is the graph of a sinusoidal function It goes through the points 7 0 and 3 0 Find a sinusoidal function that matches the given graph If needed you can enter 3 1416 as pi in your answer otherwise use at least 3 decimal digits

Let p be the population proportion for the following condition Find the point estimates for p and q In a survey of 1791 adults from country A 372 said that they were not confident that the food they eat in country A is safe The point estimate for p p is 0 208 Round to three decimal places as needed The point estimate for q q is Round to three decimal places as needed

Translate the statement into a confidence interval Approximate the level of confidence In a survey of 3336 adults in a country 44 believe the economy is getting better Three weeks prior to this survey 56 believed that the economy was getting better The survey s margin of error is 1 Use the results from the newer survey The confidence interval for the proportion is 0 43 0 45 Round to three decimal places as needed Use the results from the newer survey The interval is a 75 5 confidence interval Round to one decimal place as needed Use the results from three weeks prior to the newer survey The confidence interval for the proportion is 0 55 0 57 Round to three decimal places as needed Use the results from three weeks prior to the newer survey The interval is a confidence interval Round to one decimal place as needed 13

A school dance committee is to consist of 2 freshmen 3 sophomores 4 juniors and 5 seniors If 6 freshmen 7 sophomores 7 juniors and 9 seniors are eligible to be on the committee in how many ways can the committee be chosen Your answer is

At the Pizzeria di Sicily a customer has a choice of four different crusts regular whole wheat gluten free or cauliflower seven different sauces red sauce Alfredo sauce pesto olive oil BBQ sauce creamy garlic sauce or chili sauce eight cheeses fontina paneer gorgonzola cream cheese feta mozzarella cheddar or parmesan eight meat toppings barbeque chicken capicola chorizo pepperoni ground beef calamari salami or clams forty five veggie toppings kale mushrooms sauerkraut artichokes blackberries carrot black olives onions grilled zucchini spinach apples eggplant red onions tomatoes jalapenos cherry tomatoes fresh basil Greek peppers sun dried tomatoes butternut squash cilantro roasted beets Brussels sprouts strawberries pineapple broccoli peas raspberries cauliflower green onions mango dill pickles rhubarb pistachios fennel peaches bell peppers red grapes arugula figs garlic corn green olives mustard greens or avocado and five special toppings balsamic vinegar fried egg whipped cream peanut butter or chocolate sauce On the menu is an option to build your own Papa s Special Pie where a customer has the choice of one crust one sauce two cheeses three meats three veggies and one or no special item For example a customer could order a Papa s Special Pie with regular crust creamy garlic sauce mozzarella and paneer capicola barbeque chicken pepperoni butternut squash green olives black olives and balsamic vinegar How many different Papa s Special Pies are possible

If 19300 dollars is invested at an interest rate of 6 percent per year find the value of the investment at the end of 5 years Continuously

In the 6 54 lottery game a player picks six numbers from 1 to 54 How many different choices does the player have Your answer is

A company has 8 male and 9 female employees and needs to nominate 3 men and 3 women for the company bowling team How many different teams can be formed

At the ice cream shop there are 29 flavors of ice cream available How many ways can you select a bowl of 5 scoops of ice cream if each scoop is a different flavor Your answer is The ice cream shop has 10 types of toppings available and you decide to add 3 toppings to your bowl of 5 scoops of ice cream How many combinations of 5 scoops of ice cream and 3 toppings are possible Your answer is

Find the exact values of the six trigonometric functions of the angle e shown in the figure y sin e cos e tan e CSC 0 sec 0 3 9 X

How many different 4 card hands can be dealt from a deck of 52 cards Your answer is

In how many ways can 4 pizza toppings be choosen from 12 available topp Your answer is

Find the number of distinguishable permutations of the letters in the word Your answer is APALACHICOLA Find the number of distinguishable permutations of the letters in the word Your answer is ARKANSAS

A pizza parlor offers a choice of 12 different toppings How many 4 topping pizzas are possible no double orders of toppings are allowed Your answer is possible pizzas