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Tutors Answer Your Questions about Exponents (FREE)
Question 232744: Negative 8 in parentheses with negative 2 exponent outside parentheses, how do you solve it?
The original problem was 2 to negative 3rd power in parentheses with negative 2 power (exponent) outside parentheses, equals 2 to negative 3 power with negative 2 power in parentheses. I calculated that the first part of the equation was the negative 8 in parentheses with negative 2 exponent outside parentheses. Did I do that right? I came up with 64 but I think this is wrong. This is terrible. I'm trying to tutor pre algebra to 8th graders and look at me!
Click here to see answer by Alan3354(6097)   |
Question 232871: Write exponential notation
(-5)^ - 3 .5
36 + 4 . l6 - 7l . (-1)^5
Also need help on this one:
Simplify, assume that no denoninator is 0^0 is not considered
(a^8b^3)(a^4b)
And then this last one:
Express using positive exponents then simplify if possible
10a -1
b-7c-3
Click here to see answer by solver91311(5072)  |
Question 232872: 1.Solve using the five-step problem-solving process. Show all steps necessary to arrive at your solution. Express the answer in scientific notation to two decimals places unless requested otherwise.
If the distance from the earth to the sun were 92,900,000 miles, how long would it take a rocket, traveling at 2.8 × 103 miles per hour, to reach the sun? (Round to three places)
2.A semicircular window of radius 10 inches is to be laminated with a sunblock coating that costs $0.85 per square inch to apply. What is the total cost of coating the window, to the nearest cent? (Use п = 3.14. Hint: Area of Circle: A = пr2)
3.A square light-switch plate is made which measures 6 inches on each side. A square hole measuring 1 inch on each side is left in the center. If the cost to construct the plate is $3.50 per square inch, what is the construction cost? (Hint: Use A = s2)
4.A cylindrical drum has a diameter of 3 feet and a volume of 45 cubic feet. What is the height of the drum? (Hint: Use V = пr2h)
Click here to see answer by rfer(2688)  |
Question 233477: x^2-6x-27
_divided by_
x+3
When the teacher does it in class it looks so easy.I tried synthetic division but it does not come out right.I tried dividing -3 into x^2-6x-27 but I can not figure out how many times -3 will go into x which would actually be 1x,so I am stuck at the first step.
Click here to see answer by Theo(675)  |
Question 234150: 1) Solve algebraically. Trial and error is not an appropriate method of solution. You must show all your work.
Learn how to type math roots and fractions by clicking on the link in the assignment list. Alternately, you may type as cuberoot(x) and show raising to the nth power as ^n, like x 3 is typed x^3.
a)
Answer:
Show your work here:
b)
Answer:
Show your work here:
c)
Answer:
Show your work here:
2) a) Show the steps that you would take to solve the following algebraically:
Show your work here:
b) What potential solution did you obtain? Explain why this is this not a solution.
Answer:
3) The volume of a cube is given by V = s3, where s is the length of a side. Find the length of a side of a cube if the volume is 500 cm3. Round the answer to three decimal places.
Answer:
Show your work here:
4) Suppose that N= models the number of cases of an infection, in millions, of a disease x years from now.
a) How many cases of the infection will there be 9 years from now?
Answer:
Show your work here:
b) In how many years will there be 5 million cases?
Answer:
Show your work here
5) Consider the function .
a) Find h, the x-coordinate of the vertex of this parabola.
Answer:
Show your work here:
b) Substitute the two integers immediately to the left of h and the two integers immediately to the right of h into the function to find the corresponding y values. Fill in the table below. Make sure your x-values are in increasing order in your table.
x y
h=__
c) Use MS Excel or another web-based graphing utility to graph the function by plotting the points found in the table in part b. Read the information in the assignments list to learn more about how to graph in MS Excel.
6) The formula for calculating the amount of money returned for an initial deposit into a bank account or CD (certificate of deposit) is given by
A is the amount of the return.
P is the principal amount initially deposited.
r is the annual interest rate (expressed as a decimal).
n is the number of compound periods in one year.
t is the number of years.
Carry all calculations to six decimals on each intermediate step, then round the final answer to the nearest cent.
Suppose you deposit $4,000 for 8 years at a rate of 7%.
a) Calculate the return (A) if the bank compounds annually (n = 1). Round your answer to the hundredth's place.
Answer:
Show work in this space. Use ^ to indicate the power or use the Equation Editor in MS Word.
b) Calculate the return (A) if the bank compounds monthly (n = 12). Round your answer to the hundredth's place.
Answer:
Show work in this space
c) If a bank compounds continuously, then the formula used is
where e is a constant and equals approximately 2.7183.
Calculate A with continuous compounding. Round your answer to the hundredth's place.
Answer:
Show work in this space:
7) A commonly asked question is, “How long will it take to double my money?” At 7% interest rate and continuous compounding, what is the answer? Round your answer to the hundredth's place.
8) Suppose that the function represents the percentage of inbound e-mail in the U.S. that is considered spam, where x is the number of years after 2000.
Carry all calculations to six decimals on each intermediate step when necessary.
a) Use this model to determine the percentage of spam in the year 2005. Round your answer to two decimals places.
Answer:
Show your work in this space:
b) Use this model to determine in how many years (to two decimal places) it will take for the percent of spam to reach 90% provided that law enforcement regarding spammers does not change.
Answer:
Show your work in this space:
Click here to see answer by nyc_function(260)  |
Question 235079: Can you please help me solve problems such as  . What is the value of n? I am trying to assist an algebra student with her homework and teach 5th grade. It has been awhile since I have done algebra. Thank you
Click here to see answer by Theo(675) |
Question 236043: I think this is the right category... Can you please explain this? Thanks sooo much!!
Simplify each of the following, if possible. Write your answers in the exponential form a^b.
(a) 2^4 * 2^5 * 2^8
(b) 3^4 + 2 * 3^4
(c) 2^50 * 2^50
Click here to see answer by stanbon(26297) |
Question 236049: I'm not sure if this is the right category?? But can you please explain this to me? I think the argument is correct but I don't know how to explain the process. Thanks sooooo much!!!
Hosni gave the following argument that - (a + b) = -a + -b, for all integers a and b. If the argument is correct, supply the missing reasons. If it is incorrect, explain why not.
-(a + b) = (-1)(a + b)
= (-1)a + (-1)b
= -a + -b
Click here to see answer by stanbon(26297) |
Question 236458: I need help solving this word problem please:
A rectangle is 4 cm longer than it is wide. If the length and width are both decreased by 2 cm, the area is decreased by 24 cm2 (I'm trying to type cm squared). Find the dimensions of the original rectangle.
Thank you so very much for your help on this math homework problem.
Click here to see answer by JimboP1977(76)  |
Question 237417: How would i find an expression for the area of a triangle?
The triangle is a 45-45-90 degree triangle with the two sides equaling x^2 and 2x^3.
I got the equation y=1/2(2x^3)(x^2) and i am not sure if i am supposed to simplify it, or solve it, or if that is even the right equation.
Click here to see answer by stanbon(26297) |
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