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Geometric_formulas/69234: Include the following in your answer:
Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the arithmetic series?
Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the geometric series?
Give real-life examples of both arithmetic and geometric sequences and series. Explain how these examples might affect you personally.
1 solutions
Answer 49252 by Nate(3500)   on 2007-02-03 18:42:08 (Show Source):
You can put this solution on YOUR website!Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the arithmetic series?
Let's use an example:
2,4,6,8,10,12,14,16,etc.
First Digit = 2
Second Digit = 4
(1,2) and (2,4)
m = 2/1
y = 2x
x = 3
y = 6
The line is linear.
Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the geometric series?
Let's use an example:
1,3,9,27,81,etc.
(1,1) and (2,3)
m = 2/1
y = 2x - 1
x = 3
y = 5 the value should be 9
Not Linear
Quadratic? what is the vertex? let's leave that
Exponential?
(0,1/3)
y = a*b^x
1/3 = a*1
y = (1/3)b^x
1 = (1/3)b
3 = b
y = (1/3)(3^x) = 3^(x - 1)
x = 3
y = 3^2 = 9
The line is exponential.
The rest is self explanatory.
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Numeric_Fractions/69135: Mrs. Tate brings 5 1/2 pounds of candy to divide among ger 22 students. If the candy is divided equally, how many pounds of candy does each student recieve?
1 solutions
Answer 49210 by Nate(3500) on 2007-02-03 10:07:50 (Show Source):
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Linear-equations/69084: Adult tickets for a play cost $11.00 and child tickets cost $10.00. If there were 23 people at a performance and the theater collected $246.00 from ticket sales, how many children attended the play?
Please help me to solve this
1 solutions
Answer 49167 by Nate(3500) on 2007-02-02 18:32:34 (Show Source):
You can put this solution on YOUR website!a = number of adult tickets
c = number of child tickets
a + c = 23 or a = 23 - c
11a + 10c = 246
Plug:
11(23 - c) + 10c = 246
253 - 11c + 10c = 246
-c = -7
c = 7
a = 23 - 7 = 16
16 adult tickets and 7 child tickets
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Linear-equations/69085: Bob invested $20,000, part at 14% and part at 13%. If the total interest at the end of the year is $2,720, how much did he invest at 14%?
Please help me on this
1 solutions
Answer 49166 by Nate(3500) on 2007-02-02 18:30:19 (Show Source):
You can put this solution on YOUR website!P*R*T = I
T = 1
P*R = I
I + I = 2720
x*0.14 + (20,000 - x)*0.13 = 2720
0.14x + 2600 - 0.13x = 2720
0.01x = 120
x = $12,000 in 14%
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Linear-equations/69088: One number is 12 more than another. The sum of the smaller number and twice the larger number is 39. Find the larger number.
Please help
1 solutions
Answer 49164 by Nate(3500) on 2007-02-02 18:25:37 (Show Source):
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Linear-equations/69089: The length of a rectangle is 8 in, more than twice its width. If the perimeter of the rectangle is 64in, find the width of the rectangle.
Please help
1 solutions
Answer 49163 by Nate(3500) on 2007-02-02 18:24:20 (Show Source):
You can put this solution on YOUR website!width = w
length = 2w + 8
2*length + 2*width = perimeter
2(2w + 8) + 2(w) = 64
4w + 16 + 2w = 64
6w = 48
w = 8
width = 8in
length = 24in
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Trigonometry-basics/69005: what is the area of a 2ft wide walk around the outside of a garden that is 30ft long and 20ft wide?
1 solutions
Answer 49122 by Nate(3500) on 2007-02-01 21:44:06 (Show Source):
You can put this solution on YOUR website!width = 2 + 20 + 2 = 24
length = 2 + 30 + 2 = 34
area of whole area = 24*34
area of garden = 20*30
area of walk = 24*34 - 20*30
area of walk = 816 - 600 = 216ft^2
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Quadratic_Equations/69007: Solve the following equation for x:
x^2 + 5 = 21
Express your answer(s) in both "simplified radical" form, and in decimal form.
I came up with x=4 and x=sqrt16. Would this be correct.
1 solutions
Answer 49121 by Nate(3500) on 2007-02-01 21:40:04 (Show Source):
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Quadratic_Equations/69008: Solve the following equation for x:
5(x – 2)^2 = 3
Express your answer(s) in both "simplified radical" form, and in decimal form.
I came up with x=2+or-sqrt(3/5). Could someone please check this one for me. Thanks.
1 solutions
Answer 49120 by Nate(3500) on 2007-02-01 21:38:53 (Show Source):
You can put this solution on YOUR website!5(x – 2)^2 = 3
(x – 2)^2 = 3/5
x - 2 = +- sqrt(3/5)
x = 2 +- sqrt(3/5)
x = 2 +- sqrt(3)/sqrt(5)
x = 10/5 +- sqrt(15)/5
x = (10 +- sqrt(15))/5
x = 2.77 or x = 1.23
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Proportions/68280: Here is a question:
At an Italian restaurant there is a jug of heterogeneous oils that are composed of 20 liters of 93% oil type and 10 liters of pure neutral liquid.
Now, the 93% oils are on the bottom while the neutral liquid is less dense. How much of the oils must I take out of the bottom, so that when I shake the jug up, I get a heterogeneous solution of 64%?
1 solutions
Answer 48569 by Nate(3500) on 2007-01-27 21:08:53 (Show Source):
You can put this solution on YOUR website!First, let us find the solution's percentage of oil content:
(20(93%) + 10(0%))/(30) = ?
(20(0.93) + 10(0.00))/30 = ?
18.6/30 = 0.62 or 62%
On the contrary, you would have to add oils to get a solution of 64% ....
(18.6 + x(0.93))/(30 + x) = 0.64
18.6 + 0.93x = 19.2 + 0.64x
0.29x = 0.6
x = about 2.1 liters of 93% oils must be added
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Functions/68266: This question is from textbook
If f(x)=-1, what is x? What point(s) areon the graph of f.
1 solutions
Answer 48563 by Nate(3500) on 2007-01-27 20:52:18 (Show Source):
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Numbers_Word_Problems/68268: This question is from textbook An Incremental Development
The sum of the digits of a two-digit counting number was 9. When the digits were reversed, the new number was 45 less than the original number. What was the original number?
1 solutions
Answer 48561 by Nate(3500) on 2007-01-27 20:48:51 (Show Source):
You can put this solution on YOUR website!Two Digit Number: 10a + b
a + b = 9 or a = 9 - b
10b + a = 10a + b - 45
Plug:
10b + 9 - b = 10(9 - b) + b - 45
9b + 9 = 90 - 10b + b - 45
9b + 9 = 45 - 9b
18b = 36
b = 2
a = 7
Number: 72
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Travel_Word_Problems/68203: Ching leaves San Francisco and travels toward Los Angeles at 50 mi/h. An hour later, Phil leaves Los Angeles and travels toward San Francisco at 60 mi/h. If the two cities are 380 miles apart, how many hours will it take for Ching to meet Phil?
1 solutions
Answer 48509 by Nate(3500) on 2007-01-27 11:21:19 (Show Source):
You can put this solution on YOUR website!At the start, the total distance between the two was 380:
380
Then, Ching drives for 50 miles for 50mi/h:
330 - 50x
Then, Phil travels 60 mi/h:
330 - 50x - 60x = 0
-110x = -330
x = 3
3 hours
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Mixture_Word_Problems/68002: Dimitruis skipped lunch today to get some sun in the school courtyard. Lying on the grass and looking up at an angle of 22 he could see the top of the flagpole which was about 100 ft away. How tall is the flagpole?
1 solutions
Answer 48352 by Nate(3500) on 2007-01-25 15:59:39 (Show Source):
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Geometric_formulas/67418: This question is from textbook Advanced mathematics
Write the quadratic equation with a lead coefficient of 1 whose roots are 1+3i and 1-3i.
Could someone show me how to this step-by-step, please?
1 solutions
Answer 47978 by Nate(3500) on 2007-01-21 08:50:06 (Show Source):
You can put this solution on YOUR website!Say you have these for roots: (x - 5)(x + 1) or x^2 - 4x - 5
Your roots would be 5 and -1 because you would take the opposite (negative value) of the value in the parenthesis.
(x - (1 + 3i))(x - (1 - 3i))
(x - 1 - 3i)(x - 1 + 3i)
x^2 - x - 3xi - x + 1 + 3i + 3xi - 3i + 9
x^2 - 2x + 10
Check:
x^2 - 2x = -10
(x - 1)^2 = -9
x - 1 = +- 3i
x = 1 +- 3i
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Complex_Numbers/67434: Find the 4 roots of the equation:
x^4+kx^2+1=0
k^2<4
1 solutions
Answer 47976 by Nate(3500) on 2007-01-21 08:43:31 (Show Source):
You can put this solution on YOUR website!figure that p = x^2 for now:
(x^2)^2 + k(x^2) + 1 = 0
p^2 + kp + 1 = 0
p^2 + kp = -1
(p + k/2)^2 = -1 + k^2/4
p + k/2 = +- sqrt(k^2/4 - 1)
p = -k/2 +- sqrt(k^2/4 - 1)
x^2 = -k/2 +- sqrt(k^2/4 - 1)
x = +- sqrt(-k/2 +- sqrt(k^2/4 - 1))
~~~~~~
k^2 < 4
-2 < k < 2
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Travel_Word_Problems/67435: The Jones family drove to Disneyland at 50 miles per hour and returned on the same route at 40mph. Find the distance to Disneyland if the total driving time was 7.2 hours.
1 solutions
Answer 47975 by Nate(3500) on 2007-01-21 08:38:39 (Show Source):
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Radicals/67325: For the function, y = 1/ x - 2
a.)Give the y values for x = -2, -1, 0, 1, 2, 3
b.) Using these points, draw a curve
show your graph here:
1 solutions
Answer 47892 by Nate(3500) on 2007-01-19 23:23:15 (Show Source):
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