Caitlin is decorating a rectangular table . She wants to decorate the table with paper cutouts birds. She plans to tape a bird every 6 inches around the table and at every corner . The table is 2 feet wide and 5 feet long; How many birds are needed to decorate the table?
Pleas help get clarification on the following: y + 1/2 = -1/3(x +1/2).
1. Present Values. Compute the present value of a $100 cash flow for the following combinations of discount rates and times: 1. r = 8 percent. t = 10 years. 2. r = 8 percent. t = 20 years. 3. r = 4percent. t = 10 years. 4. r = 4 percent. t = 20 years. 2. Future Values. Compute the future value of a $100 cash flow fo
F(x) = x^2 +7x +7
Adjusting the saddle: The saddle height on a bicycle should be 109% of the riders inside leg measurement L. (www.harriscyclery.com) Write an equation expressing the fact that the saddle height for Brenda is 36 in.
A new pyramid has been found in South America. The pyramid has a rectangular base that measures 62 yd by 180 yd, and has a height of 100 yd. The pyramid is not hollow like the Egyptian pyramids and is composed of layer after layer of cut stone. The stone weighs 432 lb per cubic yard. How many pounds does the pyramid weigh?
A dentist places a gold filling in the shape of a cylinder with a hemispherical top in a patient's tooth. The radius of the filling is 3 mm. The height of the cylindrical portion is 4 mm. If dental gold costs $16.00 per cubic millimeter, how much did the gold for the filling cost? Round to the nearest cent. Use pi ≈ 3.14.
Solve: X^2 = 3x +12.
Use the arithmetic sequence of numbers 2, 4, 6, 8, 10... to find the following: a) What is d, the difference between any two consecutive terms? b) Using the formula for the nth term of an arithmetic sequence, what is 101st term? c) Using the formula for the sum of an arithmetic sequence, what is the sum of the first 20 t
--Is there a difference between -7^2 and (-7)^2 --Consider a number without any variables, say, 10. Is 10 a term?
When 8 more than a certain unknown number was divided by that number, the result was 3. What was the unknown number?
If United States imports increased 20 percent and exports decreased 10 percent during a certain year, the ratio of imports to exports at the end of the year was how many times the ratio at the beginning of the year?
1. A theatre spends $5000. building a set for a new play. Each performance of the play costs the theatre $700. The theatre sells $1200. worth of tickets for each performance. How many performances must the theatre put on to break even? 2. An amusement park charges admission plus a fee for each ride. Admission plus two
Determine whether each relation is a function: x^2 = 1 + y^2 y = (square root of x + 5) Determine the domain and range of each relation y = 2x - 3 Graph each function and state the domain and range y = 0.3x y = l x-2 l
1) Is the ratio between number of workers and time required to complete a job direct or indirect? 2) The formula for profit (P) is cost (C) minus overheard (O). Write an equation for profit and then translate it to solve for cost 3) Solve for t d=rt My solution was t=d/t. Is that correct 4) Solve for S (C-S)/n=R
1. A quantity of 13% acid solution is being diluted with 3% acid solution. The final solution must be 8% acid and contain 90 ml. How much of each solution must be combined to accomplish this? 2. A rectangular fence is to be constructed with 500ft of fencing. The length of the fence is to be 3.5 times the width of the fence
The height (h) (in feet) of an object that is dropped from the height of (s) feet is given the formula h=s-16t^2, where (t) is the time the object has been falling. A 5 foot tall woman on a sidewalk looks overhead and sees a window washer drop a bottle from the fifth story. How long, in seconds, does she have to get out of the w
1) Use the arithmetic sequence of numbers 2, 4, 6, 8, 10... to find the following: a) What is d, the difference between any two consecutive terms? b) Using the formula for the nth term of an arithmetic sequence, what is 101st term? Answer: c) Using the formula for the sum of an arithmetic sequence, what is the sum of the fi
4. Solve by completing the square: Radicands must be enclosed within [ ]. x2 + 4x + 2 = 0
The intensity level of an earthquake is based on the Richter scale. Using logarithms, the Richter scale measures an earthquake relative to (as a ratio of) the weakest possible tremor. -What is the formula for measuring earthquakes? -Why is a 7.0 earthquake ten times stronger than a 6.0 earthquake? Pick an earthquake in
If I am using the quadratic formula to solve a quadratic equation ax2 + bx + c = 0, the discriminant is b2 - 4ac. This discriminant can be positive, zero, or negative. (When the discriminant is negative, then we have the square root of a negative number. This is called an imaginary number, sqrt(-1) = i. ) Explain what the val
A traveling salesman (selling shoes) stops at a farm in the Midwest. Before he could knock on the door, he noticed an old truck on fire. He rushed over and pulled a young lady out of the flaming truck. Farmer Brown came out and gratefully thanked the traveling salesman for saving his daughter's life. Mr. Brown insisted on givin
Evaluate the expression f (x) = 3x +4 /x for x=2.
Use the arithmetic sequence of numbers 1, 3, 5, 7, 9,...to find the following: 1. What is d, the difference between any 2 terms 2. Using the formula for the nth term of an arithmetic sequence, what is 101st term? 3. Using the formula for the sum of an arithmetic sequence, what is the sum of the first 20 terms? 4. U
1. Square root 0f x-1=3 2. The square root of x3 = 8 3. The square root of x2 = x an identity (true for all values of x)? 4. V = s3. Find the length of a side of a cube if the Volume is 729 cm3.
Find ALL real or imaginary solutions to each equation. Use the method of your choice. 1. q^2 +6q-7=0 2. -x^2 +x+12=0
Solve the following equation: x/3=x+1/2 Make sure to show all of your work.
Factor the following trinomial using the trial and error 4x^2 +12x-5
(x-1)(x^2 -1)
Relate a real life application to the specific graph(s) line, parabola, hyperbola, exponential. Then describe the characteristics of each application as related to the graph.