Answers
If you help me with my last question I will help you with this one
Related Questions
One earthquake has MMS magnitude 3.2. If a second earthquake has 390 times as much energy (earth
movement) as the first, find the magnitude of the second quake.
Answers
While we have explored some basic applications of exponential and logarithmic functions, in this section we explore some important applications in more depth.
Radioactive Decay
In an earlier section, we discussed radioactive decay – the idea that radioactive isotopes change over time. One of the common terms associated with radioactive decay is half- life.
Half Life
The half-life of a radioactive isotope is the time it takes for half the substance to decay.
Given the basic exponential growth/decay equation h(t) = abt , half-life can be found by solving for when half the original amount remains; by solving 1 a = a(b)t , or more
2
simply 1 = bt . Notice how the initial amount is irrelevant when solving for half-life. 2
Example 1
Bismuth-210 is an isotope that decays by about 13% each day. What is the half-life of Bismuth-210?
We were not given a starting quantity, so we could either make up a value or use an unknown constant to represent the starting amount. To show that starting quantity does not affect the result, let us denote the initial quantity by the constant a. Then the decay of Bismuth-210 can be described by the equation Q(d) = a(0.87)d .
To find the half-life, we want to determine when the remaining quantity is half the original: 1a. Solving,
2
1 a = a(0.87)d 2
1 = 0.87d 2
1 d log2=log(0.87 )
Divide by a,
Take the log of both sides Usetheexponentpropertyoflogs
If f(x) = x - 1 and g(x) = x3, what is (gºf)(8)?
Answers
Answer:
343
Step-by-step explanation:
f(x) = x - 1 and g(x) = x^3
g(f(8))
First find f(8) = f(8-1) = 7
Then find g(7) = 7^3 = 343
g(f(8) = 343
Answer:
I will assume that you meant to type (g o f)(8).
First we find f(8).
f(8) = 8 - 1 or 7.
We now find g(f(8)), which means g(7).
g(7) = 7^3 or 343
(g o f)(8) = 343:
A ribbon is 24 inches long. You need to cut it into pieces so that all the pieces are the same length. a. Can you cut the ribbon into 5-inch pieces?
Answers
Answer:
no
Step-by-step explanation:
no, because 24 is not divisible by five. If you divide 24/5, you will be left with 4+4/5, and you can't have 4/5 of a piece and have them all be the same length
Would greatly appreciate the help with both A and B
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whats the opposite of l3l
Answers
Answer:
-131
Step-by-step explanation:
You should add the minus sign before the number 131
NO LINKS OR WILL BE REPORTED
The table below shows the numbers of tickets sold at a carnival and the amounts of money in dollars collected Cost of Carnival Tickets
Number of Tickets. Amount $ Collected.
5 $15
10. $30
15. $45
20. $60
25. $75
Which equation represents the relationship
A y = x + 10
B y = 5x
C y = x + 15
D y = 3x
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A store pays $35 for a fish tank. The markup is 20%. What is the selling price?
Answers
Question: Edwin usually makes 20 cookies with this recipe, but only wants 5 cookies.
How much is 1/2 teaspoon of vanilla to make 5 cookies?
(PLEASE HELP!!)
Answers
Answer:
1/8 teaspoon of vanilla is needed to make 5 cookies
Step-by-step explanation:
1) 1/2 teaspoon of vanilla makes 20 cookies
2) you only need 5 cookies which is 1/4 as many cookies as before
3) you must 1/4 your recipe
4) 1/2 divided by 4 = 1/8
An investor wants to invest up to $100,000 as follows:
X amount into a Certificate of Deposit (CD) that yields an expected annual return of 1% with a risk index of 1,
Y amount into a Bond with an expected annual return of 3% and a risk index of 4,
Z amount into a Stock with an expected annual return of 7% and a risk index of 8.
The investor’s objective is to maximize the total expected annual return of the investment.
However, to be prudent, the investor requires that:
The fraction of the total investment in X must be at least 20%.
The fraction of the total investment in Z must not exceed 50%.
The combined portfolio risk index must not exceed 5.
Required:
a. Set up this investment problem as a linear program, which has 3 variables, 3 basic constraints, and 4 special constraints.
b. Use an LP software to find the maximum expected annual return in dollars and the dollar values of X, Y, and Z for this best investment.
c. From the software solution, show the values of the dual variables for the four special constraints.
Answers
Answer:
a-The Linear Model is as follows:
[tex]X+Y+Z\leq 100,000\\{0.001X}\geq 20\\{0.001Z}\leq 50\\0.00001X+0.00004Y+0.00008Z\leq5\\X\geq0\\Y\geq0\\Z\geq0[/tex]
b-The values are
X=$33,333.33
Y=$16,666.67
Z=$50,000.00
Leading to a total expected return of $4333.33.
c-The values of constraints are as follows
X+Y+Z=33333.33+16666.67+50000=100,000
X=33%, Y is 16.67% and Z is 50%
Risk component of X is 0.33
Risk component of Y is 0.66
Risk component of Z is 4.00
Step-by-step explanation:
a
From the conditions, the first special constraint is the total amount which is that the sum of investments must not be more than the total available amount of $100,000 so
[tex]X+Y+Z\leq 100,000[/tex]
The second special constraint is that the percentage of X must be at least 20% So
[tex]\dfrac{X}{100,000}\times100 \geq20\\\dfrac{X}{1000} \geq20\\{0.001X}\geq 20[/tex]
The third special constraint is that the fraction of total investment of Z must not exceed 50% So
[tex]\dfrac{Z}{100,000}\times100 \leq50\\\dfrac{Z}{1000}\leq 50\\0.001Z\leq50[/tex]
The fourth special constraint is that the combined portfolio risk index must not exceed 5 so
[tex]\dfrac{X}{100,000}\times1+\dfrac{Y}{100,000}\times4+\dfrac{Z}{100,000}\times8\leq5\\0.00001X+0.00004X+0.00008Z\leq5[/tex]
As the investments cannot be negative so three basic constraints are
[tex]X\geq0\\Y\geq0\\Z\geq0[/tex]
The maximization function is given as
[tex]f(X,Y,Z)=\dfrac{X}{X+Y+Z}\times1\%+\dfrac{Y}{X+Y+Z}\times3\%+\dfrac{Z}{X+Y+Z}\times7\%\\f(X,Y,Z)=\dfrac{X}{X+Y+Z}\times0.01+\dfrac{Y}{X+Y+Z}\times0.03+\dfrac{Z}{X+Y+Z}\times0.07[/tex]
b
By using an LP solver with BigM method the solution is as follows:
X=$33,333.33
Y=$16,666.67
Z=$50,000.00
Leading to a total expected return of $4333.33.
c
The values of constraints are as follows
X+Y+Z=33333.33+16666.67+50000=100,000
X=33%, Y is 16.67% and Z is 50%
Risk component of X is 0.33
Risk component of Y is 0.66
Risk component of Z is 4.00
Four adults and five children go to see a movie and buy $15 worth of concessions. The total cost of their trip is $71. If each child's ticket is $5, how much are the adult tickets
Answers
Answer:
$7.75
Step-by-step explanation:
Given: Adults = 4, Children = 5, All worth = $15, Total cost = $71, Each child's ticket = $5
To find: How much the adult tickets are
Solution: Use the 5 tickets at $5 to get $25
Add the $15 for concessions to reach $40
25 + 15 = 40
Subtract $40 from the 71 spent to get $31
71 - 40 = 31
Now, divide the 31 by 4 for the number of adults which equals $7.75
31 ÷ 4 = 7.75
So, the cost of the adults' tickets is $7.75
Which ordered pair
describes a point
with location in the
second quadrant?
A. (-6, -5)
B. (-6, 5)
C. (6, 5)
D. (6, -5)
Answers
Answer:
B) (-6,5)
Step-by-step explanation:
Quadrant I: (+,+)
Quadrant II: (-,+)
Quadrant III: (-,-)
Quadrant IV: (+,-)
one sixth of a number?
Answers
Y(2.5+7)+y-2
10.5y-2
Answers
Answer:
−200y − 2
Step-by-step explanation:
y(2.5 + 7) + y −210.5y − 2
=9.5y + y + −210.5y + −2
=(9.5y+ y + −210.5y) + (−2)
−200y − 2
Mark me brainllest
Which is greater, (1/2)⁴² or (1/2)⁴⁵? Why?
Answers
Answer:
1/2^42 because the 45 will be dividing it b half 3 more times
Step-by-step explanation:
Helpppppppppppppppppppp
Answers
Answer:
192.5 m²
Step-by-step explanation:
The formula for calculating the area if a circle
= πr²
Find the area of the larger circle first, then subtract the area of the smaller circle.
The area of the larger circle
= π×(21÷2)²
= 346.4 m² (rounded to the nearest tenth)
The radius of the smaller circle
= 21÷2 - 3.5
= 7 m
The area of the smaller circle
= π×7²
= 153.9 m² (rounded to the nearest tenth)
The area of the shaded region
= 346.4 - 153.9
= 192.5 m²
Tino and Ramona are planning to go to Washington, D. C. for 4 days. The travel options are shown below. Which travel option is the most expensive?
Answers
Answer:
54 grams
Step-by-step explanation:
To hard to explain.
Answer: A
Step-by-step explanation: I am a big brain pro
Find the value of x. 7+8x+45+80
Answers
Answer:
=8x+132
Step-by-step explanation:
Combine Like Terms:
=7+8x+45+80
=(8x)+(7+45+80)
=8x+132
Give me brainllest plz T-T
Is 35.336 an irrational number?
yes or no
Answers
Answer:
No
Step-by-step explanation:
Hello, 35.336 is would not be an irrational number because irrational numbers are messy numbers that go on forever like 3.14159..... A rational number is a number with clean numbers like 1.222222....., 35.336, ect. I hope this helped you!
my sister is 12 years older than i am. the sum of our ages is 38. find our ages.
Answers
Answer:
you are 13 and she is 25
Step-by-step explanation:
Math
A car is driving at 40 kilometers per hour. How far, in meters, does it travel in 2 seconds?
Answers
Answer:
i think its 22.22 thats my guess
Answer:
[tex]\frac{1}{45}[/tex] kilometers
Step-by-step explanation:
60 minutes = 3600 seconds
[tex]\frac{40}{3600} =\frac{y}{2}[/tex]
3600y = 80
3600y ÷ 3600 = 80 ÷ 3600
[tex]y=\frac{1}{45}[/tex]
1. Force is a push or a
upon an object
A heat
C. pull
B. motion
D. transfer
2 Which is needed to make an object move?
A density
C. porous
B. force
D. non-porous
Answers
Answer:
1. C
2.B
Step-by-step explanation:
Force is a push or a pull.. can be a twist too
to make an object move you have to apply force by pushing of pulling the object.
Examine the figure of two parallel lines cut by a transversal.
What is the value of x?
Answers
Answer:
x=17
Step-by-step explanation:
The angles present are Alternative interior angles. That means that they are congruent. Meaning 4x+7 = 75. To solve for 7, you subtract 7 from both sides. That leaves you with 4x=68. Then you divide both sides with 4. Then you get x=17.
Hope this helps!
BTS!!
Answer:
x = 17
Step-by-step explanation:
75° and (4x + 7)° are alternate interior angles.
If two lines are cut by a transversal, then the alternate interior angles are congruent.
75 = 4x + 7
=> 4x = 68
=> x = 17
Helpppppp pleaseeeeeeee
Answers
Answer:
16 2/3
Step-by-step explanation:
I need help with this
Answers
9514 1404 393
Answer:
x = 32y = 51Step-by-step explanation:
Angle U = angle N = 180° -142° -24° = 14°
The expression for angle U tells us the value of x.
2x -50 = 14
x -25 = 7 . . . . . divide by 2
x = 32 . . . . . . . .add 25
__
The measure of side SU is the same as that for side PN.
13 = (2x -y)
y = 2x -13 = 2(32) -13 . . . . solve for y, substitute for x
y = 51
I WILL GIVE 50 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT. The zeros of a function H are -2,3 and -4 which of the following could be h(x)
Answers
Answer:
a
Step-by-step explanation:
kkkkkkkkkkkkkkkkkkkkkkk
Answer:
a. h(x)=(x+2) (x-3) (x+4)
Step-by-step explanation:
The zeros of the function are -2, 3 and -4:
(x=-2) (x=3) (x=-4)
(x+2) (x-3) (x+4)
Graph the line passing through (4, -1) whose slope is m = 4/3
Answers
9514 1404 393
Answer:
graph is attached
Step-by-step explanation:
With the given slope, the intercepts will not be at integer values. The best way to graph this by hand is to start at the point (4, -1) and use the slope to identify other points on the line.
The slope of 4/3 tells you the graph will rise 4 units for each 3 units to the right. So, another point will be (4, -1) + (3, 4) = (7, 3). A point in the other direction will be (4, -1) -(3, 4) = (1, -5). These points are sufficient for you to draw the desired line.
What is my answer the missing numbers
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y = 2
I’m not entirely sure if it’s gonna work typing it in though
Help me find the value of x plss
Answers
Answer:
Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.
Answer:
What do we see in triangle -- adj and hyp
cosine since it is SOH CAH TOA
cos(14)/1 =x/480
Answer = 465.74 the real rounding is 466
A 12 foot ladder leans against a building and reaches a window 10 feet above ground. What is the measure of the angle, to the nearest degree, that the ladder forms with the ground ?
Answers
Answer:
56
Step-by-step explanation:
Sinx = 10/12
x = 56
please please please help
find the median
72 82 92 93 94 97 98 102
find the median
53 59 64 65 65 66 67 69
find the mean absolute deviation (MAD)
72
82
93
98
102
97
92
94
find the mean absolute deviation (MAD)
53 59 64 65 65 66 67 69
Answers
Answer:
median = 93.5
median = 65
MAD = 7.125
MAD = 3.75
Step-by-step explanation:
The median is the middle value when the values of the data set are placed in order from smallest to largest.
Data set: 72 82 92 93 94 97 98 102
As the number of values in the data set is even, the median is the mean of the middle two values.
[tex]\implies \sf median=\dfrac{93+94}{2}=93.5[/tex]
Data set: 53 59 64 65 65 66 67 69
As the number of values in the data set is even, the median is the mean of the middle two values.
[tex]\implies \sf median=\dfrac{65+65}{2}=65[/tex]
To find the Mean Absolute Deviation (MAD):
1. calculate the mean (by summing the data values and dividing by the number of values)
2. Subtract the mean from each value in the data set and take the absolute value of each result.
3. Sum the absolute values from step 2.
4. Divide by the number of values.
Data set: 72, 82, 93, 98, 102, 97, 92, 94
[tex]\sf Mean=\dfrac{72+82+93+98+102+97+92+94}{8}=91.25[/tex]
|72 - 91.25| = 19.25
|82 - 91.25| = 9.25
|93 - 91.25| = 1.75
|98 - 91.25| = 6.75
|102 - 91.25| = 10.75
|97 - 91.25| = 5.75
|92 - 91.25| = 0.75
|94 - 91.25| = 2.75
Sum of absolute values = 57
[tex]\sf MAD=\dfrac{57}{8}=7.125[/tex]
Data set: 53 59 64 65 65 66 67 69
[tex]\sf Mean=\dfrac{53 +59+ 64+ 65+ 65+ 66+ 67+ 69}{8}=63.5[/tex]
|53 - 63.5| = 10.5
|59 - 63.5| = 4.5
|64 - 63.5| = 0.5
|65 - 63.5| = 1.5
|65 - 63.5| = 1.5
|66 - 63.5| = 2.5
|67 - 63.5| = 3.5
|69 - 63.5| = 5.5
Sum of absolute values = 30
[tex]\sf MAD=\dfrac{30}{8}=3.75[/tex]