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
7x-6y=9
5x+2y=19 Solve the system using elimination.
Step-by-step explanation:
multiply 5x+2y=19 by 3 youll get 15x+6y=57
eliminate y
7x-6y=9
15x+6y=57 +
22x=66
x=3
substitute x to 5x+2y=19
15+2y=19
2y=4
y=2
plz help will give brainliest
Answer:
Step-by-step explanation:
Its the fourth choice, 8000 is closer to 8132 so you would round that down instead of choosing 8500. Also, 8000 ÷ 20 = 400
HELP!! Shelley creates a logo using two similar icicle triangle shown below what is the length of side s in centimeters
Answer:
s = 12cm
Step-by-step explanation:
Since these are similar triangles, in order to find a missing side, you have to find the constant of proportionality
14/8 = 21/s >> cross multiply
14s = 168 >> divide both sides by 14 to get s alone
s = 12
another way to find the answer......
Step-by-step explanation:
You still have to find the constant of proportionality, it's just going to be a bit faster this way
14/8 = 1.75
21/1.75 = 12
s = 12
Find the values or a and b
Answer:
a=33 ( vertically opposite angles)
a+90=b( sum of opposite interior angle is equal exterior angle)
33+90 = b
b=123
On a math test a student, Sarah, has to identify all the coefficients and constants of
the expression 8 + 7b+y. Sarah says that 7 is a coefficient and 8 is a constant. Identify all the
coefficients and constants of the expression. What error might Sarah have made?
The coefficient(s) of the expression is/are -
(Use a comma to separate answers as needed.
4. A boat shop rents its boats for $20 per hour and charges a flat fee of
$10 dollars for insurance in case of damage. What is the total cost for
renting one boat for 5 hours? Hint: multiply and add the fee. *
O $100
$110
$30
O $70
Answer:
4 hours
Step-by-step explanation:
Let x = # of hours
22x + 10 = 98
-10 -10
____________
22x = 88
22
x = 4
SOMEONE HELP ME I GO CLASS IN 10 MINS!!
Answer:
i think its mq
Step-by-step explanation:
What is the value if 5/6 ÷ 3/4
Answer:
5/8
Step-by-step explanation:
my bad
Answer:
Step-by-step explanation:
i got 1.11111111111 hope it helps ( give me brainliest please)
can someone help me im looking for the the x
Answer:
x = 4√5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Trigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
a is one legb is another legc is hypotenuseStep-by-step explanation:
Step 1: Identify Variables
a = 19
b = x
c = 21
Step 2: Solve for x
Substitute [PT]: 19² + x² = 21²Isolate x term: x² = 21² - 19²Exponents: x² = 441 - 361Subtract: x² = 80Isolate x: x = √80Simplify: x = 4√5Which of the following equations has a solution that is negative?
a. – 0.4x + 4 = – 1.6
b. – 0.4(x + 1.6) = 1.6
c. – 0.4(– x + 1.6) = 1.6
d. – 0.4x – 4 + 1.6x = – 1.6
Answer:
b. – 0.4(x + 1.6) = 1.6
Step-by-step explanation:
The equation with negative solution is -
- 0.4(x + 1.6) = 1.6
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given are the equations as shown in the question.
The equation with the negative solution are -
- 0.4(x + 1.6) = 1.6
- 0.4x - 0.64 = 1.6
- 0.4x = 1.6 + 0.64
- 0.4x = 2.24
x = - (2.24/0.4)
Therefore, the equation with negative solution is -
- 0.4(x + 1.6) = 1.6.
To solve more questions on algebraic expressions, visit the link below-
brainly.com/question/1041084
#SPJ6
Cathleen ran a total of 16 miles. She ran exactly 2 2/3 miles each day. How many days did it take her to run 16 miles
Answer:
6 days
Step-by-step explanation:
Complete the table below.
Answer:
column 1, (2 and 2)
column 2, (8 and 4)
Step-by-step explanation:
For the first one, y = 2[tex]x^{2}[/tex]. You would plug in 1 into x and since one times itself is one, you would end up with 2. For the next question, you would plug in one and find that two times one is two. For the next column, by plugging in 2, you would find that you would end up with 2 times 4 and thus, you would find the answer which is 8. Lastly, two to the power of two is 4. Hope this helped!
PLS RESPOND FAST!! What is the value of x in the diagram belo2v
A. 9
B. 8
C. 7
D. 6
Answer:
C
Step-by-step explanation:
The 2 triangles are similar (AA postulate ), thus the ratios of corresponding sides are equal, that is
[tex]\frac{14}{2}[/tex] = [tex]\frac{49}{x}[/tex] ( cross- multiply )
14x = 98 ( divide both sides by 14 )
x = 7 → C
What is the LCM of 2 and 8
Answer:
its 8
Step-by-step explanation:
Answer:
nmbjhsnn,dnn,nmmmmmmmdndmnnmdnmdndmdndm smh
Step-by-step explanation:
i need help if yall can help me
Answer:
C. 5.8
Step-by-step explanation:
We use the Pythagoras theorem here. which is a²+b²=c².
a and b are the replacements for the 5miles and 3miles here.
They are a and b because a and b are always on the right angle side.
The longest side of this triangle is called a hypotenuse which is the c in this case.
the other sides (a and b) are called the adjacent and the opposite.
it doesn't matter if you use adjacent or opposite for a and b in this case.
the only important thing is the hypotenuse here.
So it's a²+b²=c², which is 5²+3²=c².
5² is 25 and 3² is 9, so we add them and we get 34.
so c²=34, we don't want the square on c so we send it to 34 which becomes √34.
√34 gives us 5.8 miles which is up to just only one decimal place.
You might need to use calculators for square roots because they take long to calculate.
Using differentials, the approximate change in the value of f(x) = x2 + 4x - 1 as x changes from 3 to 3.1 is
O 0.1.
O 1.
O 10.
O 100
The approximate change in the value of the function will be 10. Then the correct option is C.
What is the average rate change of a function?It is the average amount by which the function is modified per unit throughout that time period. It is calculated using the gradient of the line linking the interval's ends on the graph that represents the function. The average rate of change of the function is given as,
Average rate = [f(x₂) - f(x₁)] / [x₂ - x₁]
The function is given below.
f(x) = x² + 4x - 1
The average rate is calculated as,
Average rate = [f(3.1) - f(3)] / [3.1 - 3]
Average rate = [(3.1² + 4(3.1) - 1) - (3² + 4(3) - 1)] / 0.1
Average rate = (21.01 - 20) / (0.10)
Average rate = 1.01 / 0.10
Average rate = 10.1
Average rate ≈ 10
The approximate change in the value of the function will be 10. Then the correct option is C.
More about the average rate change of a function link is given below.
https://brainly.com/question/23715190
#SPJ5
Simplify 30 - 5(15- 10).
A. -55
B. 125
c. 20
D. 5
Answer:
Your answer is D i guess
Step-by-step explanation:
Here you go mate
step 1
30 - 5(15- 10) equation/question
step 2
30 - 5(15- 10) simplify
30-(5)^2
30-25
answer
5
7.74% of 789.13
Give your answer rounded to 2 DP.
Given :
A number 789.13 .
To Find :
7.74% of 789.13 .
Solution :
Let, 7.74% of 789.13 is x.
So,
[tex]x = \dfrac{789.13\times 7.74}{100}\\\\x = \dfrac{6107.8662}{100}\\\\x = 61.08[/tex]
Therefore, 7.74% of 789.13 upto 2 decimal place 61.08 .
I am lost..? need to know answer?
Answer:
Can you take a closer picture? I will put my answer in the comments if I can do it.
What is 7 raised to the power of 1?
James drove to the lake and back the trip there took four hours and the trip back took six hours he average 20 mph faster on the trip there on on the return tip find Jameses average speed on the trip
Answer: 60 mph
Step-by-step explanation:
Question wants the speed to the lake.
It took James 4 hours to get to the lake and he drove at a speed 20 mph faster than when he came back.
It took him 6 hours to come back.
Assuming the speed James used on the return trip is x:
Expression for distance is:
4(x + 20) = 6x
4x + 80 = 6x
2x = 80
x = 80/2
x = 40 mph
Speed to the lake = 40 + 20
= 60 mph
Plzzzz plzzz plzzz ps keiskskks
Answer:
42
Step-by-step explanation:
x/6=7
x=42
Answer:
42 should be the answer
Step-by-step explanation:
x ÷ 6 = 7
x ÷ 6 x 6 = 7 x 6
x = 42
A tree casts a 249 centimeter shadow. A person next to the tree casts a 91 centimete
shadow. If the person is 169 centimeters tall, how tall is the tree to the nearest
centimeter?
Brandon is not smiling. He just left the
dentist's office, and he has 5 cavities! If
it takes the dentist 14 minutes to fill one
cavity, how long will it take to fill all 5 of
Brandon's cavities?
Answer:
it should take 70 mins to fill all 5
hope this helps!! :)
Step-by-step explanation:
14 x 5 = 70
Answer:
70
Step-by-step explanation:
14 minutes = 1 cavity
x minutes = 5 cavities
70= x
how do i find an equation for a line with an x-intercept of 4 and a y-intercept of -2
Answer:
The equation of a line is y = ax + b, where a is the slope and b is the y-intercept.
Since we have the y-intercept, all we need to do is find the slope. To find the slope, you need 2 coordinates.
The y-intercept is where the line crosses the y axis, so it is where x is 0. Since the y intercept is -2, that means the first coordinate is (0, -2)
The x-intercept is where the line crosses the x axis, so it is where y is 0. Since the x intercept is 4, that means the second coordinate is (4, 0)
Since we already have the y-intercept, all we do is put the slope in the equation: y = 1/2x - 2.
Step-by-step explanation:
what is the correct answer and it you get it wrong i will report you[tex]7-(2x+1)+4x[/tex]
Toy Universe is manufacturing a new toy and deciding on a price that will result in a maximum profit. The graph below represents profit (P) generated y each price of a toy (x).
**Graph is attached below (sorry the picture is bad quality)**
Part A: If the company wants to make a maximum profit, what should the price of a new toy be?
Part B: What is the minimum price of a toy that will produce profit for the company? Explain your answer.
Part C: Estimate the value of P(10) and explain what the value means in the problem and how this may be possible.
Part D: If the company wants to make a profit of $137, for how much should the toy be sold.
Part E:Find the domain that will only result in a profit for the company and find its corresponding range of profit.
Part F: The company owner believes that selling the toy at a higher price will result in a greater profit . Explain to the owner how selling the toy at a higher price will affect the profit.
Answer:
A: $6
B: $2.01
C: $0
D: $4.50 or $7.50
E: 0 ≤ x ≥ 10
F: The more expensive you make the toy then that will mean that less people will want to buy it for its high price.
Step-by-step explanation:
{Data Expunged}
38=p−15
PLEASE HELP MEHHHHH
Answer:
p=23
Step-by-step explanation:
Answer:
P=23
Step-by-step explanation:
38-15=23
p=23
Hope this helps
Have a great day!
How do you solve -2 = t/3 - 11?
______________________________
1.) Multiply both sides of the equation by 3:[tex]\frac{t}{3}[/tex] × [tex]3=t[/tex][tex]-11[/tex] × [tex]-3=-33[/tex]- We do this because we need to get x alone and separate from fraction from.
Equation at the end of Step 1:
[tex]-6=t-33[/tex]2.) Add 33 to both sides:[tex]-33+33=[/tex] Cancels Out[tex]-6+33=27[/tex]- We do this to cancel out an extra numbers in order to get only x alone with 1 number on the opposite side of the equal.
______________________________
What is the value of the expression?? PLEASE HELPPPPP
Answer:
18
Step-by-step explanation:
= -4 x (-5) - 2
= 20 - 2
= 18
Answer:
18
Step-by-step explanation:
-4x - 2
-4 (-5) - 2
(20) - 2
18