a) The magnitude of the earthquake is approximately 3.0.
b) The intensity of the earthquake is approximately 1258.925.
(a) To find the magnitude of an earthquake based on the intensity, we can use the following equation:
Magnitude = log10(Intensity) + 1.5
Given that the intensity is 30.25, we can calculate the magnitude as follows:
Magnitude = log10(30.25) + 1.5 ≈ 1.48 + 1.5 ≈ 2.98
Rounding to one decimal place, the magnitude of the earthquake is approximately 3.0.
(b) To find the intensity of an earthquake based on the magnitude, we can use the following equation:
Intensity = 10^(Magnitude - 1.5)
Given that the magnitude is 4.6, we can calculate the intensity as follows:
Intensity = 10^(4.6 - 1.5) ≈ 10^3.1 ≈ 1258.925
Therefore, the intensity of the earthquake is approximately 1258.925.
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Write 40 cm as a fraction of 2.4 m. Give your answer in its simplest form
Answer:
La semana pasada, Chen compró galones de gasolina a por galón. Esta semana, compró galones de gasolina a dólares el galón.
Step-by-step explanation:
Find the measure of angle MKN.
Answer:
m∠MKN = 61°
Step-by-step explanation:
Since KN is a perpendicular bisector, m∠NKM and m∠MKJ have to add up to 90°.
Step 1: Set up equation
6x + 7 + 3x + 2 = 90
Step 2: Solve for x
Combine like terms: 9x + 9 = 90Subtract 9 on both sides: 9x = 81Divide both sides by 9: x = 9Step 3: Find m∠MKN
m∠MKN = 6x + 7
m∠MKN = 6(9) + 7
m∠MKN = 54 + 7
m∠MKN = 61°
Answer:
61
Step-by-step explanation:
Since JKL is a straight line, it equals 180
JKM + MKN + NKL = 180
3x+2 + 6x+7 + 90 = 180
Combine like terms
9x+99 = 180
Subtract 99 from each side
9x+99-99= 180-99
9x =81
Divide each side by 9
9x/9 = 81/9
x=9
We want MKN
6x+7 = 6*9 +7 = 54+7 = 61
A truck can be rented from Acme
Truck Rental for $80 per week plus $0.28 per mile.
How many miles can be driven if you have at most $100 to spend on truck rental.
Answer: 71.429 miles
Step-by-step explanation:
The charge for the rental truck can be represented by the equation: y= 0.28m+80
m is the miles driven
y is the total cost
Plug in 100 for y because that’s how much you have to spend
100=0.28m+80
-80 -80
20=0.28m. Divide both sides by 0.28
71.429 miles
You can round it again if you want
71.43 or 71.4 or 71
Please help me with these three answers. It’s solving systems of equations.
Jason and David each decide to collect baseball cards. Jason has 37 cards and David has 42 cards to begin with. Jason decides to buy 4 more cards each week and David decides to buy 3 each week. A - (blank 1) Write an expression for the number of cards that Jason has, given the number of weeks (w) that he collects. B - (blank 2) Write an expression for the number of cards that David has, given the number of weeks (w) that he collects. C - (blank 3) How long (in weeks) will it take for Jason and David to have the same number of baseball cards?
a submarine was approximately 625 feet below sea level if it descends another 250 feet what is its new positions write your answer as an integer
Answer:
875
Step-by-step explanation:
625 feet + 250 feet = 875 feet
Find three functions named f(x), h(x) and g(x) that when combined the expression equals x2-5x+12. You must use two different operations.
Write two functions f(x) and g(x) such that f(g(x))= -4. What did you let x equal?
The volume of wood in a tree varies jointly as the height of the tree and the square of the distance around the tree trunk. If the volume of wood is 15.84 cubic feet when the height is 22 feet and the distance around the trunk is 3 feet, what is the volume of wood obtained from a tree that is 32 feet tall having a measurement of 4 feet around the trunk?
Answer:
64
Step-by-step explanation:
Answer:
A system of linear equations is given by the tables. One of the tables is represented by the equation y = - 1/3x + 7. x y 0 5 3 6 6 7 9 8 x y -6 9 -3 8 0 7 3 6 The equation that represents the other equation is y = x + . The solution of the system is ( , )
The solution of the system is (- 3, 8).
A system of linear equations is given by two tables. The first table is represented by the equation y = - 1/3x + 7, while the second table is not represented by any equation.
However, we can determine the equation of the second table by finding the slope of the line that passes through the points (0, 5) and (3, 6).slope = change in y/change in x= (6 - 5)/(3 - 0)= 1/3
Since the slope of the line is 1/3 and it passes through the point (0, 5), we can use point-slope form to find the equation of the line. Using point-slope form,
the equation of the second table is:y - 5 = 1/3(x - 0)y = 1/3x + 5To solve the system of equations, we can use substitution. We can substitute y = - 1/3x + 7 into the equation y = x + 5:y = x + 5- 1/3x + 7 = x + 5- 1/3x = - 2x = 6x = - 3
The solution for x is x = - 3. We can use this value to find the solution for y by substituting into either of the equations. Using y = - 1/3x + 7, we get:y = - 1/3(- 3) + 7= 1 + 7= 8
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PLEASE HELP! I’ll give brainliest!!
what is 2+2-5×6? ill mark brainliest
Answer:
-26
Step-by-step explanation:
2+2−(5)(6)=
-26
Answer:
-26
Step-by-step explanation:
2+2-5×6 = 2+2- -2630 = 4-30 = -26
Trevor takes up a test at school and completes it in an hour. The test has two sections. If he takes 35 minutes to complete the first section, how much
time does he have left to complete the second section?
Answer:
25
Step-by-step explanation:
If Trevor completes the test in an hour, with 2 sections, if he spends 35 minutes on one section, you subtract 60 - 35 which gives you 35 since 60 minutes is in an hour and he already spent 35 minutes.
Answer:
25
Step-by-step explanation:
what is the total weight of 7 basketballs that weigh 23 ounces each?
Answer:
10.0625 pounds exactly. I'm assuming that's what this question is asking, or 161 ounces.
Step-by-step explanation:
First, multiply 7 by 23, we get 161 ounces. Assuming the question is asking for pounds, and then we divide by 16. As there are 16 ounces in a pound. 161/16 = 10.0625.
Not sure the rounding so this is the number you get from a calculator exactly.
consider data below 62 78 84 62 72 78 54 60 78 80, the mode is?
Answer:
The mode is 78, which appears the most times (3).
The mode of the given data 62, 78, 84, 62, 72, 78, 54, 60, 78, 80 is 78.
The mode is the data that occurs most frequently, in the data set listed below 62, 78, 84, 62, 72, 78, 54, 60, 78, 80. We can see that the number 78 appears three times, which is more than any other value in the set when we look at the data.
Note: If multiple values occur with the same highest frequency, but in this case, 78 is the only mode, the data set may have multiple modes.
Thus, the mode of 62, 78, 84, 62, 72, 78, 54, 60, 78, and 80 data set is 78.
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0.3401224 ÷ 0.717
divide, and then round the answer to two decimal places
Answer: .47
Step-by-step explanation:
Can someone awsner this for me honestly I’m sorry but I really need these awsner but I need the answers for these 3 to
1. 50 + 20x = 240
2. 85% so more than 75%
3. 25.9% so about 26%
Hope this helps and please consider marking branliest if this helped you
question in link below
Answer:
105
Step-by-step explanation:
2x17=34
17x2.5=42.5
1.5x17=25.5
1/2x2x2x1.5=3
34+42.5+25.5+3=105
Answer Po Ba Ay 11.33?
Step-by-step explanation:
Calc
HELP WILL MARK YOU BRAINLIEST NO GUESSES PLZ!!!!
x° + 90° + 52.6 = 180°
because a triangle adds up to 180° and that specific triangle is a right angle triangle which means that it consists of angle adding up to 90°
set up a proportion and use cross multiplication to solve.
100 is 250% of____
Answer:
25
Step-by-step explanation:
D Question 13 3 pts [True or False] For a standardized normal distribution, Z, the probability that Z is greater than 1.50 is less than the probability that Z is greater than 2.50. True O False < Prev
For a standardized normal distribution, Z, the probability that Z is greater than 1.50 is less than the probability that Z is greater than 2.50. False, is the correct statement regarding the given statement.
In statistics, the standardized normal distribution is a normal distribution with a mean of zero and a standard deviation of one. It is also known as the standard normal distribution. The distribution is entirely defined by its mean and standard deviation. For example, any normal distribution can be standardized by subtracting its mean and dividing by its standard deviation.This distribution is a continuous probability distribution.
A continuous probability distribution is a probability distribution that assigns probabilities to an infinite number of possible outcomes that are not countable. These probabilities are expressed as the area under the curve in a continuous probability distribution. The total area under the curve of a continuous probability distribution is always equal to one.
The statement given "For a standardized normal distribution, Z, the probability that Z is greater than 1.50 is less than the probability that Z is greater than 2.50" is false.
This is because the normal distribution curve is a symmetrical curve and the probability of being greater than a value of 1.50 or 2.50 is the same.
Therefore, the probability of Z being greater than 1.50 is the same as the probability of Z being greater than 2.50. The answer is False.
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By , cos(θ) = StartFraction x Over r EndFraction, and by , sin(θ) = StartFraction y Over r EndFraction. Multiplying both sides of the above equations by r, we get that x = r cos(θ) and y = r sin(θ). The states that x2 + y2 = r2. By , we have [r cos(θ)]2 + [r sin(θ)]2 = r2. Applying the , the equation can be written as r2 cos2(θ) + r2 sin2(θ) = r2. Dividing both sides of the equation by r2 results in cos2(θ) + sin2(θ) = 1.
Answer:
-Definition of cosine
-Definition of sine
-Pythagorean theorem
-Substitution
-Laws of exponents.
Step-by-step explanation:
A tuxedo rental service charges a $150 flat fee for a suit plus $50 per additional day. Write and solve an equation to determine the cost of renting the tuxedo for 4 days.
Answer:
150+50*4=350
Step-by-step explanation:
hope it helped sorry if it's not what you wanted.
Answer: 150 + 50(d) = a
It would cost $350 to rent the tuxedo for four days
Steps: 150 + 50(d)
d = days = 4
a = total amount
Plz mark brainliest:)
can u guys please help me
with this question??!!! 10 points and brainy will be awarded PLEASE!?
Answer:
The answer is the last option.
Step-by-step explanation:
Which expression is equivalent to 5(2+7)?
0 205+7)
O2+7(5)
05(2)+7
05(2)+5(7)
Answer:
4
5(2)+5(7)
Step-by-step explanation:
factor 144abc−108ab . if the expression cannot be factored, write cannot be factored.
The factored form of the expression 144abc - 108ab is 36ab(4c - 3).
To factor the expression 144abc - 108ab, we can first identify the common factors of the terms.
In this case, we can see that both terms have a common factor of 36ab:
144abc - 108ab = 36ab(4c - 3)
So, the expression can be factored as 36ab(4c - 3).
This means that the expression is not prime and can be simplified further by factoring out the common factor.
By factoring out the common factor of 36ab, we obtain the simplified form of the expression as 36ab times the binomial (4c - 3).
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Can someone please help me solve [tex]|b|\ \textless \ 3[/tex]
9514 1404 393
Answer:
-3 < b < 3
Step-by-step explanation:
The inequality is equivalent to two inequalities.
For b ≥ 0, this is ...
b < 3
Together with the restriction that b ≥ 0, the solution to this is ...
0 ≤ b < 3
__
For b ≤ 0, this is ...
-b < 3
b > -3 . . . . multiply by -1
Together with the restriction that b ≤ 0, the solution to this is ...
-3 < b ≤ 0
__
The solution is the 'or' of these two solutions. They can be expressed as the single compound inequality ...
-3 < b < 3
_____
Comment on absolute value inequalities
When the inequality is of the form ...
|p| < q
It can be written as the equivalent compound inequality ...
-q < p < q
as we showed above.
What is the equation? Been trying for 20minutes
Answer:
y = x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2. 0) and (x₂, y₂ ) = (0, 2) ← 2 points on the line
m = [tex]\frac{2-0}{0+2}[/tex] = [tex]\frac{2}{2}[/tex] = 1
the line crosses the y- axis at (0, 2 ) ⇒ c = 2
y = x + 2 ← equation of line
Whats the solution X3=9
Answer:
x=2.080084
Step-by-step explanation: take cube root
Answer:
Forgive me if i am incorrect but i am pretty sure if i am not mistaken x=3*3=9
Step-by-step explanation:
When you look at it x is attach to the 3 thus making it multiplication but you would have to do the opposite. Which is division so 9 divide by 3 is 3.
Hope this help you
Please show all working.
b 2. Supppose a = 0, b = 0 and = a b A) 2015 B) 2016 = 2017. Find the value of C) 2017 b+c a+b' (D) 2018 E) 2019
Given the values a = 0, b = 0, and c = a + b, we are asked to find the values of expressions involving these variables: C = 2017(b + c), D = 2018, and E = 2019.
Given a = 0 and b = 0, we can substitute these values into the expressions involving c.
Since c = a + b, we have c = 0 + 0, which simplifies to c = 0.
Now we can evaluate the expressions:
A) 2015: No information is provided to determine the value of 2015. We cannot evaluate this equation.
B) 2016: Similarly, no information is provided to determine the value of 2016. We cannot evaluate this expression.
C) 2017(b + c): Substituting c = 0, we have C = 2017(b + 0) = 2017b.
D) 2018: This expression has a constant value of 2018.
E) 2019: This expression has a constant value of 2019.
In summary, the values of the expressions are as follows: C = 2017b, D = 2018, and E = 2019. The values of A and B cannot be determined without additional information.
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3x2+(2y+z3) if x=4, y=5, and z=3
Answer:
43 or 25
Step-by-step explanation:
Plug all of the numbers into the equation.
(i'm not sure if the 3x2 is a letter or not, so i'll just solve it anyways for both.)
3(4)(2) + (2(5) +(3)(3) = 43
If it's not a letter then
3x2 + (2(5)+3(3)) = 25
solve for k: 31 - 3k = 10
Answer:
k = 7
Step-by-step explanation:
Step 1: Write equation
31 - 3k = 10
Step 2: Solve for k
Subtract 31 on both sides: -3k = -21Divide both sides by -3: k = 7Step 3: Check
Plug in k to verify it's a solution.
31 - 3(7) = 10
31 - 21 = 10
10 = 10
