Answer:
The correct option is C: I = 10⁸I₀.
Step-by-step explanation:
The function of the Richter scale is:
[tex] M_{(I)} = log(\frac{I}{I_{0}}) [/tex]
Since the magnitude of the earthquake is 8.0, the relation between the intensity, I, with the intensity of the threshold quake, Io, is:
[tex] 8.0 = log(\frac{I}{I_{0}}) [/tex]
[tex] 10^{8} = \frac{I}{I_{0}} [/tex]
[tex] I = 10^{8}I_{0} [/tex]
Therefore, the correct option is C: I = 10⁸I₀.
I hope it helps you!
The equation relates with the intensity of the 1985 earthquake, I, with the intensity of the threshold quake, [tex]I_0[/tex] is [tex]I = 10^8I_0[/tex].
Given that,
The 1985 Mexico City earthquake measured a magnitude of 8.0 on the Richter scale.
The Richter scale uses the function M (I) = log (Start Fraction I Over I Subscript 0 Baseline End Fraction).
We have to determine,
Which equation relates the intensity of the 1985 earthquake, I, with the intensity of the threshold quake, Io.
According to the question,
The function of the Richter scale is:
[tex]M_(_I_) =log[ \dfrac{I}{I_0}][/tex]
The magnitude of the earthquake is 8.0, the relation between the intensity, I, with the intensity of the threshold quake, [tex]I_0[/tex] is:
[tex]M_(_I_) =log[ \dfrac{I}{I_0}]\\\\8 =log[ \dfrac{I}{I_0}][/tex]
Taking log base 10 both sides,
[tex]10^8 = \dfrac{I}{I_0}\\\\I = 10^8I_0[/tex]
Hence, The equation relates with the intensity of the 1985 earthquake, I, with the intensity of the threshold quake, [tex]I_0[/tex] is [tex]I = 10^8I_0[/tex].
To know more about the Exponential function click the link given below.
https://brainly.com/question/15673235
Raphael purchases a new DVD at M-Mart. He
pays 8% in tax on the cost of the DVD. If the tax
amount is $1.20, how much does Raphael
spend on the DVD, including tax?
Answer:
The amount Raphael spend on DVD including tax is $16.2
Step-by-step explanation:
Tax on DVD = 8%
Amount of tax = $1.20
We need to find the amount Raphael spend on DVD including tax.
Let the cost of DVD = x
We can write the equation: [tex]8\%\:of\:x=1.20[/tex]
Because the tax amount is 8% of actual cost and is equal to 1.20
Now solving to find x:
[tex]8\%\:of\:x=1.20\\8\%\times\:x=1.20\\\frac{8}{100}\times x=1.20 \\x=1.20 \times \frac{100}{8}\\x= 15[/tex]
So, the cost of DVD = $15
Now, The amount Raphael spend on DVD including tax = Cost of DVD + Tax
The amount Raphael spend on DVD including tax = 15 + 1.2
= 16.2
So, The amount Raphael spend on DVD including tax is $16.2
HELP ILY A tree is 4 1/2 feet tall. It is expected to grow by 1 3/4
feet per year.
At this growth rate, how many years will it take for the tree to have a height greater than 40 feet? Enter the answer in the box.
years
Answer:
It will take 21 years.
Step-by-step explanation:
First, find what x would be for it to equal 40 feet. This can be done with the equation 4.5 + 1.75x = 40.
4.5 + 1.75x = 40
Subtract 4.5 from both sides. This cancels out the +4.5.
1.75x = 40 - 4.5
Subtract 4.5 from 40 to get 35.5.
1.75x = 35.5
Divide both sides by 1.75. This cancels out the *1.75.
x = 35.5/1.75
Expand 35.5/1.75 by multiply both the numerator and denominator by 100.
x = 3550/175
Reduce 3550/175 by canceling out 25.
x = 142/7 = 20 2/7
Go up by one from 20 to get the answer of 21 years.
Which angle number is adjacent to angle to MNJ?
Answer:
I think it is ACB
Step-by-step explanation:
Please don't come after me if i'm wrong
HELP PLS ill mark u brainliest
Answer:
11
Step-by-step explanation:
Since angle 11 is next to angle 12, and they should add up to 180 degrees, which makes them supplementary angles.
Answer:
The person above me is right
Can someone please answer my question? i have been working on school work all day.
here is 30 points just please answer all my questions that i post and i will give more
Write the sum, and then write an equivalent expression by collecting like terms and removing parentheses.
b. 2x - 7 and the opposite of 2x
Answer:
-70x
Step-by-step explanation:
What are the coordinates of B' after the translation? (1, 6) (–3, 6) (0, 0) (3, 1)
will mark brainlyest
The answer is (3,1) thanks for the points bud
Answer:
B (-3, 6)
Step-by-step explanation: I did it on edge 2021
Which operation should you do first when you simplify the expression below?
(15+4)x3
Answer:
I would assume you would use PEMDAS? thats what I would use
Answer:
Solve the parenthesis
Step-by-step explanation:
In the order of operations (PEMDAS), you would solve what's in the parenthesis first. So you would add 5 and 4, then multiply that by 3 to get the correct answer. Hope that helps!
Which equation shows the result of substituting and expression for y from the first equation into the second equation for the given system {y=x+5 {y-2x=2
Answer:
x-2x = -3 and x = 3
Step-by-step explanation:
Given the expression
y=x+5.... 1
y-2x=2.... 2
Substituting the first equation into the second we will have;
From 2;
y -2x = 2
x+5-2x = 2
x-2x +5 = 2
x-2x = 2-5
x-2x = -3
-x =-3
x =3
Hence the required equation is x-2x = -3 and x = 3
Answer:
(x + 5) – 2x = 2
Step-by-step explanation:
Edge 2021
What is the correct anwser and how
Answer:
D
Step-by-step explanation:
5+8=13
NOT 58
Answer: D
Step-by-step explanation:
Well 5+8=13 and not 58, so that’s why it’s incorrect
To rent a certain meeting room, a college charges a reservation fee of $34 and an additional fee of $9.30 per hour. The math club wants to spend less than $99.10 on renting the meeting room.
What are the possible amounts of time for which they could rent the meeting room?
Use t for the number of hours the meeting room is rented, and solve your inequality for t.
Answer:
9 hours.
Step-by-step explanation:
31 + 5.9*t < 84.10.
To solve it, collect the constant terms on the right side:
5.9*t < 84.10 - 31 = 53.10,
Hence, t < 53.10%2F5.9 = 9 hours.
Answer:
7 hours
Step-by-step explanation:
99.10-34=65.1
65.1 divide by 9.30=7
Hope this helps!!
Express in the form n : 1
9:3
Answer:
n =3
hope it helps
Answer:
3:1
Step-by-step explanation:
cut by 3
..............
Which solution shown below contains an error?
3
4
3x
4
3x+4
?
ਦੇਸ਼ ਦੇ
1
+2
2
x+2
1
x+1
+2
2
3
+
21-12
8x+8
(x+1)(x-6) * (x+1)(x-6)
+1
- 8
1px-4
(+1)(-6)
Answer:
B
Step-by-step explanation:
1/x+2 + 1/x+2 = 2/x+2 = 1/x+1.
Please I am on a timer
Answer: g=5
Step-by-step explanation:
3a^4b^-2c^3 simplifed
if 2 polygons are similar what must be true about them
Answer:
their corresponding side length are poprotional
please thanks me
please help asap I’m going to fail if I don’t ace this and brainly doesn’t have this question if anyone knows how to do this I will cashapp you
Answer:
C
Step-by-step explanation:
a translation over the x-axis keeps the same x value but flips the y value (makes it the opposite.)
so here, C starts at point (1,-2). when reflected over the x-axis this becomes (1,2)
a translation to the left subtracts from the x value
the coordinate changes from (1,2) to (-2,2) because 3 is subtracted from 1
what are the missing numbers pls do it in order!!! :)
Answer:
12 30 and 50
Step-by-step explanation:
What is the LEAST common denominator for 6 and 8
Answer:
3 4 if u wanna go father 1.5 2
Step-by-step explanation:
Answer:
24 is the lcd for 6 and 8..
i neeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhheeeeeeeeeeeeeeeeeeeeelllllllllllllllllppppppppppp
If 3x−y=12, what is the value of 8x/2y?
A) 212
B) 44
C) 82
D) The value cannot be determined from the information given.
Answer:
3x-12=y
which equals to
1/y=1/(3x-12)
Now,multiply both sides by x
x/y=x/(3x-12)
8x/2y=4x/y=4x/(3x-12)
Step-by-step explanation:
''.''
Please help Due tomorrow!
Answer: It may possibly be SU
Step-by-step explanation:
Answer:
SU
Step-by-step explanation:
The triangles are reflections of each other (the same but mirrored).
So if you trace a line from point D to F, and do the mirrored motion on the other triangle, you get SU
Chad is renting a moving van for one day. It costs $20 to rent the van for the day. It also costs $0.60 for each mile the van is driven. Chad uses this model to find the total cost for driving m miles: initial cost + cost for one mile × number of miles Which expression can be used to find the total cost of renting the van?
Answer:
20 + 0.6x
Step-by-step explanation:
Answer:
B (20 + 0.60m)
Step-by-step explanation:
Determine whether or not the function is linear or nonlinear.
Answer:
Nonlinear
Step-by-step explanation:
This line is not straight so it's not linear.
Linear is a straight line.
nonlinear is any line that's not straight.
Ace Carlos
PLEASE HELP I HAVE 10 MINUTES ILL MARK YOU BRAINLIEST
Answer:
There are no questions available in this question.
Step-by-step explanation:
Find X.
Math it’s.com
Answer:
value of x = 8
Step-by-step explanation:
well here,
line x is parallel to the line measuring 18
so the two triangles are similar to each other
hence ratio of their sides are equal
so 6/ 12 = x/ 16
=》1/2 = x/16
=》 x = 16 / 2
=》 x = 8
i hope u got it
have a nice day
Answer:
x = [tex]\frac{16}{3}[/tex]
Step-by-step explanation:
The outer and inner triangles are similar, thus the ratios of corresponding sides are equal, that is
[tex]\frac{6}{6+12}[/tex] = [tex]\frac{x}{16}[/tex] , that is
[tex]\frac{6}{18}[/tex] = [tex]\frac{x}{16}[/tex] ( cross- multiply )
18x = 96 ( divide both sides by 18 )
x = [tex]\frac{96}{18}[/tex] = [tex]\frac{16}{3}[/tex]
15/9 into simplest form will give brainlest
Answer:
1 6/9
Step-by-step explanation:
9 can only go into 15 once. So 15 - 9 = 6. 6 goes on top of the 9 and you get your answer of 1 6/9
1. One inch is around 27 centimeters.
IT
Inches
1
3
4
Centimeters
2
3
8
9
101
LL2
a. How many centimeters long is 3 inches? Show your reasoning.
Please help it It is in photo
Answer:
its the second i hope that helped
True or False: A FICO score is named after its creator, Fair Isaac, and Corporation. It
summarizes the probability that a person with debt will repay that debt.
Answer:
true
Step-by-step explanation:
54 is the quotient of 11 and a number
Answer:
594
Step-by-step explanation:
54 * 11 = 594
54 Is the quotient of 11 and 594 because 594 divided by 11 is 54.
(sorry if this is incorrect, i may had misinterpreted the question)
Answer:
11/54Step-by-step explanation:
54 is the quotient of 11 and a number
Let the number be x
11/x = 54x = 11/54The number is 11/54
Which set of numbers could represent the lengths of the sides of a right triangle?
O 16, 32, 36
O 8, 12, 16
O 3,4, 5
O 9, 10,
Answer:
3,4,5
Step-by-step explanation:
Here, we want to select the set that could work and the sides of a right angled triangle
the correct answer is 3,4,5
These set are called a Pythagorean triple
This is because adding the square of the two smaller number will give the square of the largest number
What we are saying here is that by adding the square of 3 and 4, we get the square of 5 which illustrates that Pythagoras theorem works for the set
