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
Sonia has $40 in her lunch account and pays $2 each day to
eat lunch.
How long till her account has no money left?
Answer:
20 days
Step-by-step explanation:
Because to find the number of days that Sonia will have you have to divide total money ($40) by money each day ($2). And $40 divided by $2 is 20, so 20 days is the answer.
Have a most wonderfull day, and I hope you likeee the answer....so yep.
Write z = 5 + 2i as an ordered pair in an Argand diagram.
Answer:no hablo espanol
Step-by-step explanation:
Simplify: −5(−4) + 13 =
Answer:
33
Step-by-step explanation:
-5(-4)= 20
20+13=33
Which of the following statements is true of the number 651.44
A) The 4 in the hundredths place has a value that is 10 times that of the 4 in the tenths place
B) The 4 in the tenths place has a value that is 10 times that of the 4 in the hundredths place
C) The 4 in the tenths place has a value that is 100 times that of the 4 in the hundredths place
D) The 4 in the tenths place has a value that is 1/10 that of the 4 in the hundredths place
Answer:
B
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
HELP HELP PLEASE!! SUPER CONFUSED!
Answer:
A. 0
B. 7
C. 3
D. 9
E.9
F.3
G.1
H.5
J.7
K.5
L.1
It's just a lot of reversing operations and seeing what fits, but if you have more you want to try, just make sure you remember borrowing and carrying numbers because they make a big difference.
Arlinda is participating in her school reading
challenge. She reads 40 books in 6 months. If 26
of the books are fiction, then what percent of the
books that she read are non-fiction?
Answer:
14
Step-by-step explanation:
40-26=14 so therefore 14% of the books are non-fiction
~.❤~Please Answer~❤.~
Answer:
True
hope it helps!
Step-by-step explanation:
need helpp asap its due by 11:59pm i will give brainliest
Answer:
The solution is (-6,2)
Step-by-step explanation:
Answer:
Fr
Step-by-step explanation:
ava scored a 74% a 75% and an 80% on her first three math quizzes. What would she need to scorr on her 4th quiz to have an average of 80 percent
Answer:90
Step-by-step explanation:
Can someone help me find the solution?
Answer:
Solution: y=2
If y is a positive integer, for how many different values of y is [tex]\sqrt[3]{144\y}[/tex]a whole number?
Answer:
2
Explanation:
I'll explain later, it has to do with prime factors, and perfect cubes.
The two values of y that work are 18, and 144.
³√(144/18) = ³√(8) = 2 [whole number]
³√(144/144) = ³√(1) = 1 [whole number]
WILL GIVE BRAINLIEST PLEASE HELP ME
It would be negative (-)62
Solve the Inequality! Please help me, answer needed FAST AND QUICK! Will give BRAINIEST 10 POINTS
Answer:
z (the arrow with teh line is pinting to the z) -4
Step-by-step explanation:
a shop is having a sale all items are reduced by 30% work out the sale price of an item normally priced at £110
Answer:
77 us dollar
Step-by-step explanation:
because I used a calculator
Answer:
77
Step-by-step explanation:
IM GIVING BRAINLIEST PLEASE HELP
An elevator in a tall building is at a point 180 feet above the ground. The elevator descends at a rate of 12 feet per second. Write an equation that represents how far above the ground the elevator is after descending for x seconds.
Answer:
If you are looking for the answer it is.... y=-12x+180
Step-by-step explanation:
Pls pls help I don’t have time HELP ASAP. It also detects if it’s right or wrong.
Answer:
4 more students
Step-by-step explanation:
10% of 40 is 4, since the membership went up by 10% it is clear that there are 4 more students that joined the chess club.
Answer:
10/100*40
=4 more students joined the club
Step-by-step explanation:
In the figure shown, AB = 8 and AD = 5. What is BC?
BC=type your answer...
Answer:
AB = 8 and AD = 5
Ad=BC ( given in fig or as its is rectangle and sides of rectangle are equal )
so BC = 5
please help me i don’t understand
9514 1404 393
Answer:
2. chord theorem; t = 10.5
3. chord theorem; x = 5
Step-by-step explanation:
For both of these problems, the relevant theorem is the "intersecting chord theorem", also referred to as the "chord theorem." It tells you the product of the lengths of the parts of one chord is equal to the product of the lengths of the parts of the other chord.
2. 20t = 10·21
t = 210/20 . . . . divide by 20
t = 10.5 . . . . . . . simplify
__
3. 10(x +4) = 15(x +1)
10x +40 = 15x +15 . . . . . eliminate parentheses
25 = 5x . . . . . . . . . . . . . subtract 10x+15
5 = x . . . . . . . divide by 5
Can somebody plz help solve for each question what x =?(only if u know how to do it) thanks :)
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DD!!
Answer:
7)x=11
8)x=16
9)n=12
10)m=13
11)n=8
12)m=3
Step-by-step explanation:
Answer:
7= 11. 8=16. 9=12. 10=13 11=8. 12=3
Step-by-step explanation:
7= 9+2=11
8=12+4=16
9=9+3=12
10=8+5=14
11=7+1=8
12=3+0=3
7000000000000000000000 people ate 800 pizzas how many slices would each person get?
A recipe code lasagna calls for 3 pounds of tomatoes to serve 5 people. A caterer wants to make enough lasagna to serve 110 people. How many pounds of tomatoes does he neeed
Answer:
66 pounds of tomatoes
Step-by-step explanation:
A recipe code lasagna calls for 3 pounds of tomatoes to serve 5 people. A caterer wants to make enough lasagna to serve 110 people. How many pounds of tomatoes does he neeed
From the above question:
5 people = 3 pounds of tomatoes
110 people = x pounds of tomatoes
Cross Multiply
5 people × x pounds = 110 people × 3 pounds
x pounds = 110 people × 3 pounds/5 people
x pounds = 66 pounds of tomatoes
The volume of a cylinder is 72 cm. If the radius is 3 cm, what is the height
of the cylinder?
A. 12 cm
B. 8 cm
C. 24 cm
D. 4 cm
Select the correct answer.
Which expression is equivalent to 13 square root 22b - 10 square root 22b, if b>0?
A. 23 square root 22b
B. 130 square root 22b
C. 3 square root b^2
D. 3 square root 22b
Given:
The expression is
[tex]13\sqrt {22b}-10\sqrt{22b}, b>0[/tex]
To find:
The equivalent expression.
Solution:
We have,
[tex]13\sqrt {22b}-10\sqrt{22b}[/tex]
Taking out common factors.
[tex]=(13-10)\sqrt {22b}[/tex]
[tex]=(3)\sqrt {22b}[/tex]
[tex]=3\sqrt {22b}[/tex]
The expression [tex]3\sqrt {22b}[/tex] is equivalent to the given expression.
Therefore, the correct option is D.
8+4x≥12
x≤5
x≥1
x≤1
x≥5
Use the graph above to determine which of the following ordered pairs is in quadrant II.
( (-5-2)
(3.2)
(4.-1)
(-4, 6)
hellppp!!
Pls help me I don't understand this..... I will mark you as brainliest... the first one who answers
Answer:
it is the first answer because it want you to roll 5 first try
The ratio x: y is 1:3
Which of the following statements are correct?
A x is 1/3 of y
B y is 3/4 of (x + y)
x is 1/4 of y
y is 3/4 of x
Answer:
Option A
Step-by-step explanation:
x : y = 1 : 3
This can be also written as
[tex] \frac{x}{y} = \frac{1}{3} [/tex]
Multiplying y on both the sides
[tex] = > \frac{x}{y} \times y = \frac{1}{3} \times y[/tex]
[tex] = > x = \frac{1}{3} \times y[/tex]
Hence , x is one-third of y
Answer:
A and B
x is [tex]\frac{1}{3}[/tex] of y
AND
y is [tex]\frac{3}{4}[/tex] of (x+y)
Step-by-step explanation:
x:y is 1:3
=> y is bigger than x
=> y is 3x bigger than x
=> y = 3 lots of x
=> [tex]y =[/tex] [tex]3x[/tex]
=> [tex]\frac{y}{3}[/tex] [tex]= x[/tex]
=> [tex]\frac{1}{3} y[/tex] [tex]= x[/tex]
So x is [tex]\frac{1}{3}[/tex] of y
y is [tex]\frac{3}{4}[/tex] of (x+y)
If x = 1 and y = 3 (substitute in values)
=> 3 is [tex]\frac{3}{4}[/tex] of (4)
=> 3 is [tex]\frac{3}{4}[/tex](4)
=> 3 is ([tex]\frac{3}{4}[/tex]x4)
=> 3 = 3
Therefore, y is [tex]\frac{3}{4}[/tex] of (x+y) is true
So the answers are:
x is [tex]\frac{1}{3}[/tex] of y
AND
y is [tex]\frac{3}{4}[/tex] of (x+y)
Bring 8/(a-x) to a denominator of x-a
Answer:
[tex]-\frac{8}{x-a}[/tex]
Step-by-step explanation:
[tex]\frac{8}{a-x}[/tex]
we can take common factor of -1 in the denominator
[tex]\frac{8}{-(-a+x)}=\frac{8}{-(x-a)}[/tex]
and now multiply and divide by -1
[tex]\frac{8}{-(x-a)}\cdot \frac{-1}{-1}=\frac{-8}{x-a}=-\frac{8}{x-a}[/tex]
what is
5/8 dived by 6
Answer:
3.75
Step-by-step explanation:
Answer:
5/6 divided by 6 = 5/48 or 0.1041666666 repeating
Will Mark Brainliest
Solve each system by elimination. Show your work
3х – 10 y = 14
3х – 9y = 15
Answer:
subtracting both equations
3x-10y=14
3x-9y=15
- - =-
_________
0-y=-1
y=1
then putting the value of y in first eqn
3x-10×1=14
3x=24
x=8
so x is 8and y is 1