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Recent problems solved by 'stanbon'
stanbon answered: 57288 problems
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54990..55019 , 55020..55049 , 55050..55079 , 55080..55109 , 55110..55139 , 55140..55169 , 55170..55199 , 55200..55229 , 55230..55259 , 55260..55289 , 55290..55319 , 55320..55349 , 55350..55379 , 55380..55409 , 55410..55439 , 55440..55469 , 55470..55499 , 55500..55529 , 55530..55559 , 55560..55589 , 55590..55619 , 55620..55649 , 55650..55679 , 55680..55709 , 55710..55739 , 55740..55769 , 55770..55799 , 55800..55829 , 55830..55859 , 55860..55889 , 55890..55919 , 55920..55949 , 55950..55979 , 55980..56009 , 56010..56039 , 56040..56069 , 56070..56099 , 56100..56129 , 56130..56159 , 56160..56189 , 56190..56219 , 56220..56249 , 56250..56279 , 56280..56309 , 56310..56339 , 56340..56369 , 56370..56399 , 56400..56429 , 56430..56459 , 56460..56489 , 56490..56519 , 56520..56549 , 56550..56579 , 56580..56609 , 56610..56639 , 56640..56669 , 56670..56699 , 56700..56729 , 56730..56759 , 56760..56789 , 56790..56819 , 56820..56849 , 56850..56879 , 56880..56909 , 56910..56939 , 56940..56969 , 56970..56999 , 57000..57029 , 57030..57059 , 57060..57089 , 57090..57119 , 57120..57149 , 57150..57179 , 57180..57209 , 57210..57239 , 57240..57269 , 57270..57299, >>Nextlogarithm/314581: 4. A pneumatic drill makes a noise measured at 114 dB. Ordinary traffic is measures at 68 dB. How many times louder is the pneumatic drill than the ordinary traffic?
1 solutions
Answer 225092 by stanbon(57361)   on 2010-06-15 20:13:38 (Show Source):
You can put this solution on YOUR website!4. A pneumatic drill makes a noise measured at 114 dB.
Ordinary traffic is measures at 68 dB.
How many times louder is the pneumatic drill than the ordinary traffic?
--------------------------
Drill loudness:
114 = 10log(x)
log(x) = 11.4
x = 10^11.4
-------------------------
Traffic loudness:
68 = 10log(y)
log(y) = 6.8
y = 10^6.8
--------------------
How many times louder is the pneumatic drill than the ordinary traffic?
10^11.4/10^6.8 = 10^(11.4-6.8) = 10^4.6 = 39810
-----
Drill loudness = 39810*traffic loudness
==========================================
Cheers,
Stan H.
===========
|
logarithm/314707: Express as a sum, difference, and product of logarithms, without using exponents
log18 7√x/y
1 solutions
Answer 225090 by stanbon(57361) on 2010-06-15 19:59:16 (Show Source):
You can put this solution on YOUR website!Express as a sum, difference, and product of logarithms, without using exponents
log18 7√x/y
--------------
= log18(7) + (1/2)log18(x) - log18(y)
=========================================
Cheers,
Stan H.
|
logarithm/314723: Choose the expression or equation that is equivalent to the one given.
x-3 = 13 (Points :3)
a. logx 13 = -3
b. logx 13 = 3
c. log13 x = -3
d. logx (-3) = 13
1 solutions
Answer 225088 by stanbon(57361) on 2010-06-15 19:56:27 (Show Source):
You can put this solution on YOUR website!Choose the expression or equation that is equivalent to the one given.
x^-3 = 13 (Points :3)
---
base = x
exponent or log = -3
result = 13
--------------------------
Log Form:
logx(13) = -3
======================
Cheers,
Stan H.
======================
a. logx 13 = -3
b. logx 13 = 3
c. log13 x = -3
d. logx (-3) = 13
|
test/314738: find antilog 1.2, round your answer to the nearest hundredth
1 solutions
Answer 225086 by stanbon(57361) on 2010-06-15 19:53:16 (Show Source):
You can put this solution on YOUR website! find antilog 1.2, round your answer to the nearest hundredth
---
General Rule: the anit-log of x is 10^x
---------
So, antilog 1.2 = 10^1.2 = 15.85
===================================
Cheers,
Stan H.
|
logarithm/314728: Given logb3 = 0.792 and logb5 = 1.161. If possible, use the properties of logarithms to calculate values for each of the following.
log[b] 1/3
1 solutions
Answer 225085 by stanbon(57361) on 2010-06-15 19:51:18 (Show Source):
You can put this solution on YOUR website!Given logb3 = 0.792 and logb5 = 1.161. If possible, use the properties of logarithms to calculate values for each of the following.
log[b] 1/3
------------------
= logb(1) - logb(3)
---
= 0 - 0.792
---
= -0.792
=============
Cheers,
Stan H.
=============
|
Numbers_Word_Problems/314733: If 3% were added to a number. How do figure what the original number was from the sum?
1 solutions
Answer 225082 by stanbon(57361) on 2010-06-15 19:48:07 (Show Source):
You can put this solution on YOUR website!If 3% were added to a number.
How do figure what the original number was from the sum?
----------------------------
Let original number be "x".
----
sum = x + 0.03x
---
sum = 1.03x
---
x = sum/1.03
---
x = 0.9709*sum
====================
Cheers,
Stan H.
====================
|
Probability-and-statistics/314681: During a space mission, the primary computer system is backed up by two secondary systems. They operate independently of one another, and there is a 90% probability that a computer system will survive the mission. What is the probability that:
All three systems will survive the mission?
At least one system will survive the mission?
1 solutions
Answer 225078 by stanbon(57361) on 2010-06-15 19:36:37 (Show Source):
You can put this solution on YOUR website!During a space mission, the primary computer system is backed up by two secondary systems. They operate independently of one another, and there is a 90% probability that a computer system will survive the mission. What is the probability that:
All three systems will survive the mission?:::0.9^3 = 0.729
----------------------------------------------------------
At least one system will survive the mission?::: 1 - (0.1)^3 = 0.999
----------------------------------------------------------
Cheers,
Stan H.
|
logarithm/314710: What is the expression or equation that is equivalent to the one given.
x^-3 = 13
1 solutions
Answer 225065 by stanbon(57361) on 2010-06-15 18:42:34 (Show Source):
You can put this solution on YOUR website!What is the expression or equation that is equivalent to the one given.
x^-3 = 13
------------------------
1/x^3 = 13
----
or
---
x^3 = 1/13
=================
Cheers,
Stan H.
=================
|
Numbers_Word_Problems/314719: Three times a larger number added to 4 times a smaller number totals 24. When twice the smaller number is subtracted from twice the larger number, the result is 2. What are the two numbers?
1 solutions
Answer 225064 by stanbon(57361) on 2010-06-15 18:39:22 (Show Source):
You can put this solution on YOUR website!Three times a larger number added to 4 times a smaller number totals 24.
---
3L + 4S = 24
-------------------
When twice the smaller number is subtracted from twice the larger number, the result is 2.
-------------------
2L - 2S = 2
------------------------
What are the two numbers?
---
Rearrange:
L - S = 1
3L + 4S = 24
---
Substitute for "L" and solve for "S":
3(S+1)+4S = 24
7S + 3 = 24
S = 3 (smaller number)
---
Since L = S+1, L = 4 (larger number)
========================================
Cheers,
Stan H.
===============
--------------------------------------------------------------------------------
|
Polygons/314717: How many angles would a regular polygon have if each exterior angle measures 5°?
1 solutions
Answer 225061 by stanbon(57361) on 2010-06-15 18:32:26 (Show Source):
You can put this solution on YOUR website!How many angles would a regular polygon have if
each exterior angle measures 5°?
--------------------------------------
The sum of the exterior angles of ANY convex polygon is 360 degrees.
---
# of exterior angles = 360/5 = 72
----
# of sides = # of exterior angles = 72
======================================
Cheers,
Stan H.
================
|
logarithm/314709: Express as a single logarithm, and, if possible, simplify.
1/4 loga x+8 loga y-2loga x
1 solutions
Answer 225059 by stanbon(57361) on 2010-06-15 18:27:15 (Show Source):
You can put this solution on YOUR website!simplify.
(1/4)loga(x) + 8loga(y) - 2loga(x)
----------------------------------
= loga[x^(1/4)*Y^8/X^2]
---
= loga[y^8/x^(7/4)]
=======================
Cheers,
Stan H.
=======================
|
Trigonometry-basics/313830: Find [theta] for 0° <= 0<360°
sin[theta]=-0.8412
1 solutions
Answer 224949 by stanbon(57361) on 2010-06-15 12:49:16 (Show Source):
You can put this solution on YOUR website! Find [theta] for 0°<= theta <360°
sin[theta]=-0.8412
-----------------
sin^-1(-0.8412) = -57.26
---
theta = 360-57.26 = 302.74 degrees
OR
theta = 57.26+180 = 237.26 degrees
======================================
Cheers,
Stan H.
|
Trigonometry-basics/314589: Using the law of cosines, find the angle measures of triangle with sides 55, 75, and 80. Round to the nearest degree.
1 solutions
Answer 224946 by stanbon(57361) on 2010-06-15 12:44:53 (Show Source):
You can put this solution on YOUR website!Using the law of cosines, find the angle measures of triangle with sides 55, 75, and 80. Round to the nearest degree.
-----------
Let a = 55, b = 75, c = 80
--------------------------------
Cos(A) = (b^2+c^2-a^2)/2bc
------------
Cos(A) = 0.75
---
A = cos^-1(0.75) = 41.41 degrees
--------------------------------
Use the same procedure to find the measure of angle "B".
---
Then C = 180-(A+B)
==================
Cheers,
Stan H.
|
Probability-and-statistics/314590: a spinner has the number 1 through 9. the spinner spin once. what is the probability of p(3,6or8)in precent
1 solutions
Answer 224943 by stanbon(57361) on 2010-06-15 12:37:27 (Show Source):
You can put this solution on YOUR website!a spinner has the number 1 through 9. the spinner spin once. what is the probability of p(3,6or8)in precent
----------
P(3,6 or 8) = 3/9 = 33.33%
=================================
Cheers,
Stan H.
|
Mixture_Word_Problems/314584: A container is partly filled with 12 liters of whole milk, containing 4% butterfat, How much 1% milk must be added to get 2% butterfat
1 solutions
Answer 224942 by stanbon(57361) on 2010-06-15 12:35:34 (Show Source):
You can put this solution on YOUR website!A container is partly filled with 12 liters of whole milk, containing 4% butterfat, How much 1% milk must be added to get 2% butterfat
-----------------------------
Equation:
fat + fat = fat
0.04*12 + 0.01x = 0.02(12+x)
-----------
Multiply thru by 100 to get:
4*12 + x = 2*12 + 2x
x = 2*12
x = 24 liters (amt. of 1% milk needed for the mix)
==================================================
Cheers,
Stan H.
===============
|
Miscellaneous_Word_Problems/314520: Fashima has $8000 to invest in an RESP(Registered Education Savings Plan) for seven years.Which of the following two investment options should she choose? Justify your reasoning.
Option 1: 6% compounded semi-annually
Option 2: 7.5% simple interest
I'd really appreciate it if someone could help me out. I'm assuming they're asking in which option will she make the most investment after 7 years?
1 solutions
Answer 224897 by stanbon(57361) on 2010-06-15 10:05:43 (Show Source):
You can put this solution on YOUR website!.Which of the following two investment options should she choose? Justify your reasoning.
Option 1: 6% compounded semi-annually
A(t) = P(1+(0.06/2))^(2t)
A(1) = P(1.03)^2
A(1) = P(1.0609)
----------------------------
Option 2: 7.5% simple interest
A(t) = P(1+rt)
A(1) = P(1+0.075)
A(1) = P(1.075)
-------
Answer: It depends on how many years you leave
the money in the investment plan.
From the work above the simple iinterest is better
for one year. But in the long run the compound
interest plan will be a better investment.
================================================
Cheers,
Stan H.
|
Geometry_Word_Problems/314427: Please help me with this question. A rectangle platform is 11 feet longer than it is wide. If the area of the platform is 276 sq. ft. find the length and the width. Please show all work necessary to arrive to the solution.
1 solutions
Answer 224765 by stanbon(57361) on 2010-06-14 22:45:53 (Show Source):
You can put this solution on YOUR website! Please help me with this question.
A rectangle platform is 11 feet longer than it is wide.
---
Let the width be "x"
Then the length is "x+11"
--------------------------------
If the area of the platform is 276 sq. ft. find the length and the width. Please show all work necessary to arrive to the solution.
--------------------------------
Equation:
Area = length * width
276 = (x+11)x
Rearrange:
x^2 + 11x - 276 = 0
Factor:
(x-12)(x+23) = 0
---
Positive solution:
x = 12 ft (width)
x+11 = 23 ft (length)
==========================
Cheers,
Stan H.
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Polynomials-and-rational-expressions/314422: I could really use some help answering the following question. I have tried to figure it out and I may have figured out parts of it, but not sure how to do all of it. Any help would be much appreciated. Here is the problem:
8x^2 over x^2-9 multiplied by x^2 + 6x+9 over 16x^3
I think that x^2 -9 factors down to (x+3)(x-3) and x^2 +6+9 factors down to (x+3)(x+3). I am not sure what to do with 8x^2 and 16x^3. Thank you in advance for any help.
Tammy
1 solutions
Answer 224764 by stanbon(57361) on 2010-06-14 22:40:28 (Show Source):
You can put this solution on YOUR website!8x^2 over x^2-9 multiplied by x^2 + 6x+9 over 16x^3
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(8x^2)/(x^2-9) * (x^2+6x+9)/(16x^3)
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Factor to get:
[8x^2/[(x-3)(x+3)] * [(x+3)^2/(16x^3)]
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Cancel any factor common to a numerator and a denominiator,
such as 8,x^2,(x+3), to get:
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[1/(x-3)] * [(x+3)/x]
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Multiply to get:
= (x/3)/[x(x-3)]
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Cheers,
Stan H.
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Probability-and-statistics/314396: # 1.) The weight of full boxes of frosted Mini-wheat cereal are normally distributed with a standard deviation of 0.52 oz. A sample of 18 randomly selected boxes produced a mean weight of 24.3 oz. Find the 95% confidence interval for the true mean weight of a box of this cereal.
# 2.) We are interested in estimating the mean life of a new product. How large a sample do we need to take in order to estimate the mean to within 0.20 of a standard deviation with 90% confidence?
1 solutions
Answer 224761 by stanbon(57361) on 2010-06-14 22:35:48 (Show Source):
You can put this solution on YOUR website!# 1.) The weight of full boxes of frosted Mini-wheat cereal are normally distributed with a standard deviation of 0.52 oz. A sample of 18 randomly selected boxes produced a mean weight of 24.3 oz. Find the 95% confidence interval for the true mean weight of a box of this cereal.
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sample mean: 24.3
E = [invT(0.975 with df = 17)]*0.52/sqrt(18) = 2.1098*0.1226 = 0.2586
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95% CI: 24.3-0.2596 < u < 24.3+0.2596
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# 2.) We are interested in estimating the mean life of a new product. How large a sample do we need to take in order to estimate the mean to within 0.20 of a standard deviation with 90% confidence?
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n = [z*s/E]^2
n = [1.645*s/0.2]^2
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Note: You need to know the standard deviation.
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Cheers,
Stan H.
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Probability-and-statistics/314401: Statistics-Hypotheses Testing
Describe the type of test statistic you would use and state the Null and Alternate Hypotheses.
a. Beef patties for McDonalds are prepared and packaged at a processing plant and shipped frozen to the individual outlets. From past experience, it is known that the weight of individual patties is normally distributed with a mean () of 4 oz and a standard deviation( ) of .5 oz.. If a random sample of 25 patties has an average weight of 4.235 oz., should management feel the patties are not meeting weight specifications?
Type of test statistic_______________
Hypotheses: H0 _______________________
H1 _______________________
b. Suppose that an automobile manufacturer designed a radically new lightweight engine and wants to recommend the grade of gasoline to use. The four grades are regular, regular leaded, premium and super premium. The test car made 30 trial runs on the test track using each of the four grades. What test would they use to base their recommendation?
Type of test statistic_________________
Hypotheses: H0 _______________________
H1 _______________________
c. A random sample of current students at United University yields the following data:
Major Male Female
Business 20 10
Engineering 15 5
Liberal Arts 30 20
Science 30 20
Use the data to determine if major is independent of sex.
Type of test statistic: _________________
Hypotheses: H0 _______________________
H1 _______________________
1 solutions
Answer 224754 by stanbon(57361) on 2010-06-14 22:16:25 (Show Source):
You can put this solution on YOUR website!Describe the type of test statistic you would use and state the Null and Alternate Hypotheses.
a. Beef patties for McDonalds are prepared and packaged at a processing plant and shipped frozen to the individual outlets. From past experience, it is known that the weight of individual patties is normally distributed with a mean () of 4 oz and a standard deviation( ) of .5 oz.. If a random sample of 25 patties has an average weight of 4.235 oz., should management feel the patties are not meeting weight specifications?
Type of test statistic: t_______________
Hypotheses: H0: u >= 5 oz _______________________
H1: u < 5 oz _______________________
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b. Suppose that an automobile manufacturer designed a radically new lightweight engine and wants to recommend the grade of gasoline to use. The four grades are regular, regular leaded, premium and super premium. The test car made 30 trial runs on the test track using each of the four grades. What test would they use to base their recommendation?
Type of test statistic F-test _________________
Hypotheses: H0: The means are all equal _______________________
H1: At least one of the means is not equal _______________________
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c. A random sample of current students at United University yields the following data:
Major Male Female
Business 20 10
Engineering 15 5
Liberal Arts 30 20
Science 30 20
Use the data to determine if major is independent of sex.
Type of test statistic: Chi-Sq _________________
Hypotheses: H0: Row and Column factors are independent _______________________
H1: Row and Column factos are dependent _______________________
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Cheers,
Stan H.
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Systems-of-equations/314398: Please explain to me the steps in this equation. I am so lost and really would like to be able to do equations like this. Credit goes to http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/col_alg_tut7_factor.htm#pst
9x^2-30xy+25y=
3x^2(3x)(5y)+(5y)^2=
(3x-5y)^2
1 solutions
Answer 224751 by stanbon(57361) on 2010-06-14 22:06:42 (Show Source):
You can put this solution on YOUR website!9x^2-30xy+25y=
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Not factorable the way you have posted it.
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3x^2(3x)(5y)+(5y)^2=
Common Factor: 5y
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= (5y)(9x^3+5y)
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(3x-5y)^2
= (3x-5y)(3x-5y)
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Use FOIL:
F: 9x^2
O:-15xy
I:-15xy
L:25y^2
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Combine to get:
9x^2 - 30xy + 25y^2
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Cheers,
Stan H.
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Numbers_Word_Problems/314389: solve for x:
my teacher gave me the answer, and she said it is x=4 or x=1, but i do not know how to do the work to get that. Please help!!!!!!!!!
1 solutions
Answer 224749 by stanbon(57361) on 2010-06-14 21:58:13 (Show Source):
You can put this solution on YOUR website!sqrt(x)-4=sqrt(9x)
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Square both sides to get:
x - 8sqrt(x) + 16 = 9x
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Simplify:
-8sqrt(x) = 8x-16
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Divide both sides by -8 to get:
sqrt(x) = 2 - x
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Square both sides:
x = 4-4x+x^2
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Rearrange:
x^2 -5x+4 = 0
Factor:
(x-4)(x-1) = 0
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Potential Answers:
x = 1 or x = 4
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Check these in the original equation:
sqrt(x)-4=sqrt(9x)
Check x=1:
sqrt(1) -4 = sqrt(9)
1-4 = 3
-3 = 3
False
So, x = 1 is not an acceptable answer.
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Check x = 4:
sqrt(4) - 4 = sqrt(9*4)
2 -4 = 6
-2 = 6
False
So, x = 4 is not an acceptable answer.
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Conclusion: The original equation has no solutions.
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Cheers,
Stan H.
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Triangles/314391: What is the perimeter of an equilateral triangle that measures (2x+4) units?
1 solutions
Answer 224747 by stanbon(57361) on 2010-06-14 21:50:20 (Show Source):
You can put this solution on YOUR website!What is the perimeter of an equilateral triangle that measures (2x+4) units?
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If each of the sides is 2x+4,
the perimeter = 3(2x+4) = 6x+12
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Cheers,
Stan H.
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Probability-and-statistics/314338: A survey showed that 23% of college students read newspapers on a regular basis and that 83% of college students regularly watch the news on TV. The survey also showed that 21% of college students both follow TV news regularly and read newspapers regularly.
(a) What is the probability that a student watches TV news regularly, given that he or she regularly reads newspapers? Round your answer to 2 decimal places.
(b) What is the probability that a randomly selected college student reads newspapers regularly, given that he or she watches TV news regularly? Round your answer to 2 decimal places.
1 solutions
Answer 224713 by stanbon(57361) on 2010-06-14 20:49:41 (Show Source):
You can put this solution on YOUR website!A survey showed that 23% of college students read newspapers on a regular basis and that 83% of college students regularly watch the news on TV. The survey also showed that 21% of college students both follow TV news regularly and read newspapers regularly.
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Sketch a 2x2 contingency table. Post the given numbers. Drive the rest
of the fills.
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(a) What is the probability that a student watches TV news regularly, given that he or she regularly reads newspapers? Round your answer to 2 decimal places.
Ans: 21/23
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(b) What is the probability that a randomly selected college student reads newspapers regularly, given that he or she watches TV news regularly? Round your answer to 2 decimal places.
Ans: 21/83
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Cheers,
Stan H.
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Probability-and-statistics/314346: A card is selected from a deck of 52 playing cards. Find the probability of selecting
1. a prime number under 10 given the card is a heart
2. a spade or a club given the card is black
3. a queen, given the card is not a spade.
Here's how I did number 1:
13 cards are hearts but only 4 of them are prime (2, 3, 5,7)
so, 4/13.
Please help with number 2 and 3. Thank you so much.
1 solutions
Answer 224706 by stanbon(57361) on 2010-06-14 20:41:34 (Show Source):
You can put this solution on YOUR website!A card is selected from a deck of 52 playing cards. Find the probability of selecting
1. a prime number under 10 given the card is a heart
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13 cards are hearts but only 4 of them are prime (2, 3, 5,7)
so, 4/13.
Good
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2. a spade or a club given the card is black
# of spade or club = 26
# of black = 26
P(spade or club given black) = 26/26 = 1
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3. a queen, given the card is not a spade.
# of "not spade" cards : 39
# of queen that are not spade: 3
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P(queen,not spade) = 3/39 = 1/13
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Cheers,
Stan H.
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logarithm/314304: I am having trouble solving the following problems:
ln(sqrt(x-8)) = 5
log4x-log(12+(sqrt x)) = 2
The number N of trees of a given species per acre is approximated by the model N=68(10^-0.04x), 5 < x < 40, where x is the average diameter of the trees in inches 3 feet above the ground. Use the model to approximate the average diameter of the trees in a test plot when N=21.
Someone please help!! I cannot figure them out and would GREATLY APPRECIATE IT!!
THANK YOU!!
1 solutions
Answer 224699 by stanbon(57361) on 2010-06-14 20:35:36 (Show Source):
You can put this solution on YOUR website!ln(sqrt(x-8)) = 5
sqrt(x-8) = e^5
(x-8) = [e^10]
x = e^10+8
x = 22034
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log4x-log(12+(sqrt x)) = 2
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log[4x/[12+sqrt(x)] = 2
4x/[12+sqrt(x)] = 10^2
4x = 1200 + 100sqrt(x)
x = 300 + sqrt(x)
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x - sqrt(x) - 300 = 0
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Let w = sqrt(x)
Substitute to get:
w^2 - w - 300 = 0
w = [1 +- sqrt(1 - 4*-300)]/2
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Positive solution:
w = [1 + sqrt(1201)]/2 is approximately 17.8277
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So, sqrt(x) = 17.8277
x = 317.83
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The number N of trees of a given species per acre is approximated by the model N=68(10^-0.04x), 5 < x < 40, where x is the average diameter of the trees in inches 3 feet above the ground. Use the model to approximate the average diameter of the trees in a test plot when N=21.
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N=68(10^-0.04x)
21 = 68(10^(-0.04x)
0.3088 = 10^(-0.04x)
Take the log of both sides to get:
-0.04x = log(0.3088)
x = 12.76 inches
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Cheers,
Stan H.
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logarithm/314339: how do you graph this logarithmic question:
y= logx + 5 and find the asymptote,domain,range??
1 solutions
Answer 224694 by stanbon(57361) on 2010-06-14 20:22:13 (Show Source):
You can put this solution on YOUR website!how do you graph this logarithmic question:
y= log(x + 5)
asymptote: x = -5
domain: All Real Numbers greater than -5
range: All Real Numbers
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Cheers,
Stan H.
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test/314326: A ball is dropped from a height of 16ft. On each bounce it rises half of its previous height. when the ball hits the ground for the seventh time how far has it traveled?
1 solutions
Answer 224690 by stanbon(57361) on 2010-06-14 20:11:54 (Show Source):
You can put this solution on YOUR website!A ball is dropped from a height of 16ft. On each bounce it rises half of its previous height. when the ball hits the ground for the seventh time how far has it traveled?
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Geometric Series: 16+8+4+2+...
a = 16 ; r = 1/2
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Since 0< r <1,
S(n) = a/[1-r] = 16/(1/2) = 32
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Cheers,
Stan H.
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