Suppose that an earthquake registered approximately 1012 joules of energy. What is its magnitude on a Richter scale? How much more energy does this earthquake release than the reference earthquake (10
Answers
The earthquake releases the same amount of energy as the reference earthquake. Comparing it with a magnitude 5 earthquake, the given earthquake releases 10,000 times more energy, as each increase in magnitude corresponds to approximately 31.6 times more energy.
The magnitude of an earthquake that releases approximately 1012 joules of energy on the Richter scale is approximately 6.5. This earthquake releases 10,000 times more energy than a reference earthquake of magnitude 5.
The Richter scale is a logarithmic scale used to measure the magnitude of earthquakes based on the amount of seismic energy released. Each increase of one magnitude on the Richter scale corresponds to a tenfold increase in the amplitude of the seismic waves and approximately 31.6 times more energy released.
To calculate the magnitude, we can use the formula:
Magnitude = log10(E/E0)
where E is the energy released by the earthquake and E0 is the energy released by a reference earthquake of magnitude 0.
In this case, the earthquake released approximately 1012 joules of energy. If we assume the reference earthquake has an energy of 1012 joules, we can calculate the magnitude as:
Magnitude = log10(1012/1012) ≈ 6.5
Therefore, the magnitude of the earthquake is approximately 6.5 on the Richter scale.
To determine the energy difference between the given earthquake and the reference earthquake (magnitude 5), we can calculate the ratio of the energy released:
Energy ratio = (1012 joules) / (1012 joules) = 1
The earthquake releases the same amount of energy as the reference earthquake. Comparing it with a magnitude 5 earthquake, the given earthquake releases 10,000 times more energy, as each increase in magnitude corresponds to approximately 31.6 times more energy.
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Related Questions
find all the expressions that are equal to 4*10^-3
Answers
Answer:
Attached to this answer are some of the ways you could rewrite \(4*10^{-3}\)
2. what is the general form of the solution of a linear homogeneous recurrence relation if its characteristic polynomial has precisely these roots: 1,-1, -2, -3, 4?
Answers
The general form of the solution of a linear homogeneous recurrence relation with characteristic polynomial having precisely the roots 1, -1, -2, -3, and 4 can be written as:
c1(1^n) + c2((-1)^n) + c3((-2)^n) + c4((-3)^n) + c5(4^n)
where c1, c2, c3, c4, and c5 are constants determined by the initial conditions.
To explain why in detail, we need to first understand what a linear homogeneous recurrence relation and its characteristic polynomial are.
A linear homogeneous recurrence relation is a mathematical equation that describes a sequence of numbers where each term depends only on the previous terms in the sequence. The general form of a linear homogeneous recurrence relation is:
an = c1an-1 + c2an-2 + ... + ckank
where a0, a1, a2, ..., ak are the initial conditions, and c1, c2, ..., ck are constants.
The characteristic polynomial of a linear homogeneous recurrence relation is defined as the polynomial obtained by setting an=0 and solving for the values of k that make the equation true. For example, the characteristic polynomial of the equation an = 2an-1 - an-2 is k^2 - 2k + 1 = 0.
The roots of the characteristic polynomial determine the form of the solution to the recurrence relation. In general, if the characteristic polynomial has distinct roots, the solution can be written as a linear combination of terms of the form ar^n, where a and r are constants determined by the initial conditions and the roots of the polynomial.
In the specific case where the characteristic polynomial has precisely the roots 1, -1, -2, -3, and 4, the general solution takes the form given above, with each term in the form c_i(r_i)^n, where r_i is one of the roots and c_i is a constant determined by the initial conditions.
This can be derived from the fact that each term in the solution must satisfy the recurrence relation, and the sum of these terms will also satisfy the recurrence relation. By setting the initial conditions, we can solve for the constants c_i and obtain the unique solution to the recurrence relation.
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Rose has been planting young trees in his garden. The maple tree that is 15 inches tall is growing 3 inches per month, whereas the oak tree that is 33 inches tall is growing 1 inch per month. In a few months, the two trees will be the same height. What will that height be? How long will that take?
Answers
Answer:
The two trees will be 36 inches tall when they are the same height. It will take 3 months for the trees to reach the same height.
Which of the following is not an item in the income statement? SELECT ONLY ONE a. Discount allowed b. Furniture & Fixture c. Furniture & Fixture d. Discount received
Answers
The item that is not an item in the income statement is b. Furniture & Fixture as it is considered a fixed asset and is reported on the balance sheet instead.
The income statement, also known as the profit and loss statement, provides a summary of a company's revenues, expenses, gains, and losses over a specific period. It helps to assess the financial performance of a business. The income statement typically includes various items such as revenues, cost of goods sold, operating expenses, interest income or expense, and other gains or losses.
a. Discount allowed is a revenue item that represents the discounts given to customers as an incentive for early payment or other reasons. It is usually reported as a deduction from sales revenue.
c. Furniture & Fixture is not typically included in the income statement. Instead, it is considered a non-operating or non-recurring item and is generally classified as a fixed asset on the balance sheet. Fixed assets represent long-term investments made by a company for its operations.
d. Discount received is also not an item in the income statement. It represents the discounts received by a company from its suppliers for early payment or other reasons. Similar to discount allowed, it is usually reported as a deduction from the respective expense account.
In summary, b. Furniture & Fixture is the item that is not included in the income statement. It is considered a fixed asset and is reported on the balance sheet instead.
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if we know the level of confidence (1.98 for 95 percent), variability estimates, and the size of a sample, there is a formula that allows us to determine: a. the costs of the sample. b. the accuracy (sample error) c. the representativeness of the sample. d. p or q.
Answers
The level of confidence, variability estimates, and sample size can help determine the accuracy (sample error) and estimate the costs of the sample.
Explanation: The level of confidence (e.g., 95%) indicates the probability that the sample accurately represents the population. It determines the range within which the population parameter is estimated. The variability estimates, such as the standard deviation or variance, provide information about the spread of the data. By combining the level of confidence, variability estimates, and sample size, one can estimate the accuracy or sample error, which represents how closely the sample statistics reflect the population parameters.
Determining the costs of the sample involves factors beyond the provided information, such as data collection methods, analysis procedures, and logistical considerations. The representativeness of the sample depends on the sampling method used and how well it captures the characteristics of the target population.
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What is the best way to study Geometry?
Answers
Answer:
diagramming, knowing your properties well, understand and know the angles, and have a good math understanding
Step-by-step explanation:
hope this helps
Please help me with this x+125+d=1,245
Answers
Answer:
x=1120-d
Step-by-step explanation:
Answer:
x = 1120 - d
Step-by-step explanation:
Hi there!
We can simplify this using orders of operations.
First, subtract 125 from both sides to get x + d = 1120.
To isolate x, just subtract d from both sides.
If you give me a value for d, i can solve the full problem.
I hope this helps!
For the past 10 periods, MAD was 25 units while total demand was 1,000 units. What was mean absolute percent error (MAPE)?
Multiple choice question.
10%
25%
50%
75%
Answers
The mean absolute percent error (MAPE) is 25%.
The mean absolute percent error (MAPE) is a measure of forecasting accuracy that quantifies the average deviation between predicted and actual values as a percentage of the actual values. In this case, the mean absolute deviation (MAD) is given as 25 units for the past 10 periods, and the total demand is 1,000 units.
To calculate the MAPE, we need to divide the MAD by the total demand and multiply by 100 to express it as a percentage. In this scenario, the MAPE is calculated as follows:
MAPE = (MAD / Total Demand) * 100
= (25 / 1,000) * 100
= 2.5%
Therefore, the MAPE is 2.5%, which means that, on average, the forecasts have a 2.5% deviation from the actual demand.
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there are 22 members of a basketball team. (1) the coach must select 8 players to travel to an away game. how many ways are there to select the players who will travel?
Answers
To calculate the number of ways to select 8 players from a basketball team of 22 members to travel to an away game, we can use the concept of combinations.
The number of combinations, denoted as "n choose k," represents the number of ways to select k items from a set of n items without considering their order.
In this case, we want to select 8 players from a team of 22 members, so we can calculate it as:
22 choose 8 = C(22, 8)
Using the formula for combinations:
C(n, k) = n! / (k! * (n - k)!)
where n! denotes the factorial of n.
Plugging in the values:
C(22, 8) = 22! / (8! * (22 - 8)!)
Calculating the factorials:
22! = 22 × 21 × 20 × 19 × 18 × 17 × 16 × 15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
8! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
(22 - 8)! = 14! = 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
Simplifying:
C(22, 8) = (22 × 21 × 20 × 19 × 18 × 17 × 16 × 15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1) / [(8 × 7 × 6 × 5 × 4 × 3 × 2 × 1) × (14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1)]
After simplification, the result is:
C(22, 8) = 9,660
Therefore, there are 9,660 ways to select 8 players from a basketball team of 22 members to travel to an away game.
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Last winter Carrie wrote down the number of days it snowed in February. She noticed that for every 2 snow days , there were 5 days it did not snow. There are a total of 28 days in February, how many days did it snow in February. How many days did it not snow?
Answers
No snow days = 20
5. Jackie has 20 coins (nickels and dimes) in her purse. How many nickels and dimes does she have if
she has $1.45? Write, two equations to represent this situation, then solve demonstrating the substitution
method
Answers
Answer:
11 nickels and 9 dimes.
Step-by-step explanation:
11x5=55+(9x10)=55+90=145
145-(11x5)=145-55=90÷10=9
nickels: 11
dimes: 9
11+9=20
Answer:
9 Dimes and 11 Nickels
Step-by-step explanation:
1.45= 145
N=5
D=10
D>N
d*9=90
n*11=55
90+55=145
A bond with a coupon rate of 12 percent sells at a yield to
maturity of 14 percent. If the bond matures in 15 years, what is
the Macaulay duration?
Answers
The Macaulay duration of a bond is a measure of the weighted average time until the bond's cash flows are received.
To calculate the Macaulay duration, we need the bond's cash flows and the yield to maturity. In this case, the bond has a coupon rate of 12 percent, sells at a yield to maturity of 14 percent, and matures in 15 years. The second paragraph will explain how to calculate the Macaulay duration.
To calculate the Macaulay duration, we need to determine the present value of each cash flow and then calculate the weighted average of the cash flows, where the weights are the proportion of the present value of each cash flow relative to the bond's price.
In this case, the bond has a coupon rate of 12 percent, so it pays 12 percent of its face value as a coupon payment every year for 15 years. The final cash flow at maturity will be the face value of the bond.
To calculate the present value of each cash flow, we discount them using the yield to maturity of 14 percent.
Next, we calculate the weighted average of the cash flows by multiplying each cash flow by its respective time until receipt (in years) and dividing by the bond's price.
By performing these calculations, we can determine the Macaulay duration, which represents the weighted average time until the bond's cash flows are received.
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equipotential lines usually don't cross, but under certain circumstances, they can.
Answers
In general, equipotential lines do not cross each other. However, there are certain circumstances where they can cross.
Equipotential lines represent regions of equal potential in a physical system, such as electric or gravitational fields. These lines are perpendicular to the field lines and indicate points with the same potential value. Under normal conditions, equipotential lines do not intersect because each line corresponds to a unique potential value, and no two points in a system can have the same potential value.
However, there are situations where equipotential lines can cross. This can occur when there are multiple sources of potential in the system or when the potential varies in a complex manner. In such cases, the equipotential lines may intersect each other, indicating regions with different potential values coming into close proximity.
It is important to note that the crossing of equipotential lines does not violate the basic principles of potential theory. Instead, it reflects the intricate and complex nature of the underlying physical system, where multiple influences or varying potentials can lead to the crossing of equipotential lines.
Therefore, while it is uncommon for equipotential lines to cross, certain circumstances can give rise to such crossings in systems with multiple sources of potential or complex potential variations.
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please can anyone help with this question? :)
Answers
Answer:
ojsjsnajnbaknrkmlamsl
QUESTION 3 ON In the diagram, O is the centre of the circle and LOM is a diameter of the circle. bisects chord LP at N. T and S are points on the circle on the other side of LM with respect to P. Chords PM, MS, MT and ST are drawn. PM = MS and MTS=31° Z T 31° M
Answers
The measures of the angles M\(\widehat{O}\)S and \(\widehat{L}\) found using circle theorems are;
(a) M\(\widehat{O}\)S = 62°
(b) \(\widehat{L}\) = 31°
What are circle theorems?Circle theorems are geometrical rules describing the relationship between angles, arcs, chords, tangents and arcs of a circle.
The segment ON bisects the chord LP at N
Required to find the lengths of the angles MÔN and \(\widehat{L}\)
(a) Circle theorem indicates that the angle subtended by a chord at the center is twice the angle subtended by the chord at the circumference.
The angle subtended by the chord MS at the circumference is the angle M\(\widehat{T}\)S, which has a measure of 31°
The angle subtended by the chord MS at the center is the angle M\(\widehat{O}\)S
mM\(\widehat{O}\)S = 2 × mM\(\widehat{T}\)S = 2 × 31° = 62°(b) Chord theorems indicates that chords of the same length subtend the same measure of angles at the center of a circle, which indicates that the angles subtended on the circumference by chords of the same length are congruent.
The chord arc theorem indicates that whereby the chords PM and MS are congruent the angles \(\widehat{L}\) and M\(\widehat{T}\)S are also congruent, therefore;
\(\widehat{L}\) ≅ M\(\widehat{T}\)S
m\(\widehat{L}\) = mM\(\widehat{T}\)S = 31°Please find attached the possible diagram in the question obtained from a similar online question and created with MS Word.
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9:37 pm is how
many minutes
after 9.08 pm?
Answers
Answer:
29 is the answer
Step-by-step explanation:
the answer is 29
Answer:
the anwser is gonna be 29 blood
what is 21% of .31 with work shown
Answers
Answer:
0.0651
Step-by-step explanation:
To find 21% of 0.31, we can use the following formula:
21% × 0.31
We can convert the percentage to a decimal by dividing by 100:
0.21 × 0.31
Multiplying these two numbers, we get:
0.0651
Therefore, 21% of 0.31 is 0.0651.
the length of a rectangular yard is 12 meters greater than the width. if the area of the yard is 85 square meters, find the length and width of the yard.
Answers
Answer 85 is the length
Step-by-step explanation:
Find the sum of 13x+5 and 8+25x.
Answers
QUESTION 1: Given f(x)= -4x+13 and g(x)=x2+3x+15, find g(f(x)).
QUESTION 2: Carpenter Clausen is looking to carpet a rectangular room that has a length of 156 feet and a width of 73 feet. Determine the area of the room.
Answers
1) g(f(x)) = 16\(x^{2}\) -116x + 223 and 2) area of the room is 11,388 feet.
How to find Area of rectangle?2. Area of the room (rectangle)
Area of rectangle
The region occupied by a rectangle within its four sides or boundaries is known as its area. The area of a rectangle is determined by its sides. Formula for area is equal to the product of the rectangle's length and breadth.Given:
length = 156 feet
width or breadth = 73 feet
To find = area of the room (rectangle in shape)
Formula for area of rectangle
Area of rectangle = l x b
= 156 feet x 73 feet
= 11,388 feet.
Therefore, Area of the room is 11,388 feet.
1. g(f(x))
Given:
f(x) = -4x+13
g(x)=\(x^{2}\) + 3x + 15
To find : g(f(x)).
g(f(x)) = g(-4x + 13)
Substitute the f(x) value in g(x)
= \((-4x + 13)^{2}\) + 3 (-4\(x\) + 13) + 15
\((a+ b)^{2}\) = \(a^2 + b^2 + 2ab\)
= 16\(x^{2}\) + 169 - 104x -12x + 39 + 15
g(f(x)) = 16\(x^{2}\) -116x + 223
Therefore, g(f(x)) = 16\(x^{2}\) -116x + 223
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20% of a saline solution was mixed into saline solution with a concentration of 48% saline. How much of each solution be mixed together to obtain a solution of 8 milliliters with a 32% saline concentration
Answers
Answer:
Below in bold.
Step-by-step explanation:
Let x be the amount of 20% saline solution then the amount of 48% will
8 - x milliliters.
So,
0.20x + 0.48(8 - x) = 0.32* 8
0.20x + 3.84 - 0.48x = 2.56
-0.28x = -1.28
x = -1.28/-0.28
= 4.57 milliliters.
8 - x = 3.43 milliliters
The answer is:
4.57 milliliters of 20% solution and 3.43 milliliters of the 48% solution.
Can someone help me with this
Answers
Answer:
LM + MN=LN
Therefore (2x-16)+(x-9)=11
2x-16+x-9=11
2x+x-16-9=11
3x-25=11
3x=11+25
3x=36
x=36/3
x=12
Therefore MN=(12-9)=3
MN=3
Complete this proportion: 6/8 = a/12.
Answers
Answer:
9
Step-by-step explanation:
6 x
- = -
8 12
the relationship from 8 to 12 is divided by.666666666666
So, we do the same for 6
We get 9.
PLZ HELP
Find the measure of each angle
M<1=110
Answers
1. 110
2. 70
3. 70
4. 110
5. 110
6. 70
7. 70
8. 110
180 - 110 = 70
What is the value of 5x+3 when x = 4?
09
O 12
23
O 60
Answers
Answer:
you do 5 multiplied by 4 and plus 3 I hope this helps
What is the z-score of the value 55.2?
Answers
Explanation: Using the Standard Normal Table, the area to the left of 0.25 is 0.5987, and the area to the left of 0.5 is 0.6915. As 0.6915−0.5987=0.0928, the probability that the sample mean is in between 55.2 inches and 55.4 inches is approximately 9%.
The coach of a track team is standing on
the outside of a circular track. What is the
maximum distance he can be from one of
his track teammates if the distance from the
coach to the center of the track is 52.4
· feet? Explain how you know your answer is
correct.
Answers
,.....................
Ama started her dance practice at 5:40 p.m.and stopped it at 7:10p.m.how long did she practice?
Answers
Answer:
Ama practiced for approximately 1 hour 30min
Which property of polynomial addition says that the sum of two polynomials is always a polynomial
Answers
Solve :-7x-6y=4
When x=-3y+8
Answers
And solve for y:
-7(-3y+8)-6y=4
21y- 56-6y =4
15y =60
Y = 60/15 = 4
And then sub y=4 in to our eqn for x to get:
x = -3(4) +8
x = -4
So we have solutions to our equations, x =-4 and y = 4 or in Cartesian form (-4,4)
replace x with x,
-7(-3y+8)-6y=4
21y-56-6y=4
now collect like terms,
21y-6y=4+56
15y=60
divide both sides by 15,
y=4
now replace y with 4 to find x,
x=-3(4)+8
x=-4