sAnswer:189 students
Step-by-step explanation:
5. Seismologists use the Richter scale to measure the magnitudes and intensity of
earthquakes that occur all over the earth. (see below, some info about Richter scales,
and intensity formula)
Let's say an earthquake hit Santa Monica, CA and had a magnitude of 6.2. If another
earthquake hit Charleston, SC and was a magnitude of 3.8, then how much more
intense was the earthquake in LA?
Student's Work
Student's Answer
A. 251.19 times
B. 11.02 times
C. 42.81 times
D. 2.4 times
Some additional Richter scale info...
A common logarithm is a logarithm with base 10. You can write a common logarithm logio * simply as log x, without
showing the 10
Many measurements of physical phenomena have such a wide range of values that the reported measurements are
logarithms (exponents) of the values, not the values themselves. When you use the logarithm of a quantity instead of the
quantity, you are using a logarithmic scale. The Richter scale is a logarithmic scale. It gives logarithmic measurements
of earthquake magnitudo.
1
3) 1 Hot 10
Intensity formula:
-
= M - M₂
-
log
12
Applying logarithms, it is found that the earthquake in LA was 251.19 times more intense, and the correct option is A.
The logarithm of the ratio of intensity of two earthquakes of magnitudes [tex]M_1[/tex] and [tex]M_2[/tex] is given by:
[tex]\log{\frac{I_1}{I_2}} = M_1 - M_2[/tex]
[tex]\frac{I_1}{I_2}[/tex] gives how much more intense earthquake 1 is compared to earthquake 2.In this problem, [tex]M_1 = 6.2, M_2 = 3.8[/tex], then:
[tex]\log{\frac{I_1}{I_2}} = M_1 - M_2[/tex]
[tex]\log{\frac{I_1}{I_2}} = 6.2 - 3.8[/tex]
[tex]\log{\frac{I_1}{I_2}} = 2.4[/tex]
[tex]10^{\log{\frac{I_1}{I_2}}} = 10^{2.4}[/tex]
[tex]\frac{I_1}{I_2} = 251.19[/tex]
Hence, the earthquake in LA was 251.19 times more intense, and the correct option is A.
A similar problem is given at https://brainly.com/question/2528611
Select the values that make the inequality -4 g< 64 true. Then write an equivalent inequality, in terms of g
Answer:
g > -16
Step-by-step explanation:
-4 g< 64 (Given)
g > -16 (Sign flips sing you divided by a negative number)
The graph of an equation with a negative discriminant always has which characteristic?
Answer:
answer below
Step-by-step explanation:
equation with a negative discriminant: negative number under the square root
1. will produce imaginary number "i"
2. the function will get two complex solutions
Compare the proportional relationships. Which represents the greatest price per pound for walnuts?
Answer:
the table which is the second choice
Step-by-step explanation:
Option A:
1.5 lb bag for $12.99
unit price: $12.99/(1.5 lb) = $8.66/lb
Option B:
unit price: $2.8/(0.2 lb) = $14/lb
Option C:
For the weight of 1 lb, the cost is $10.
unit price: $10/lb
Answer:
the table which is the second choice
I am confused in these problems ?
8. 9.
Answer:
8. 14
9. 720
Step-by-step explanation:
Both questions are asking you to find the GCD (Greatest Common Divisor) and LCM (Lowest Common Multiple).
8. Find the greatest number that can divide 392 and 462 exactly.
Find the GCD of 392 and 462:
1. Find the prime factorization of 392
2^3 × 7^2 (2 × 2 × 2 × 7 × 7)
2. Find the prime factorization of 462
2 × 3 × 7 × 11
3. To find the GCD, multiply all prime factors common to all numbers
GCF = 2 × 7, therefore GCD = 14.
9. What is the smallest number that is divisible by 20, 48, and 72?
Find the LCM of 20, 48, and 72:
1. Find the prime factorization of 20
2^5 (2 × 2 × 5)
2. Find the prime factorization of 48
2^4 x 3 (2 × 2 × 2 × 2 × 3)
3. Find the prime factorization of 72
2^3 x 3^2 (2 × 2 × 2 × 3 × 3)
4. To find the LCM, multiply all prime factors
LCM = 2^4 × 3^2 × 5 (2 × 2 × 2 × 2 × 3 × 3 × 5), therefore GCF = 720
Calculator Input:
The easiest way to find the GCD or LCM of 2 or more numbers is by using a scientific calculator. Input GCD(x,y) or LCM(x,y) for the answer. This will work for any amount of numbers as long as the input is logical.
For questions 8 and 9, you would type in GCD(392,462) and LCM(20,48,72).
Not all calculators are made the same, so other labels might be GCF or HCF instead of GCD, and LCF instead of LCM. I use GCD and LCM because that's how it is on my calculator. There isn't any difference, so using any label is fine.
Write 0.06 as a fraction
Answer:
3/50
Step-by-step explanation:
Answer:
0.06 is equal to 3/50.
Hope that helps. x
How much money should be invested every quarter at 9% per year, compounded quarterly, in order to have $3000 in 8 years? (Round your answer to the nearest cent.)
Answer:
Step-by-step explanation:
$6,146.76.
Simplify
[tex] \binom{2x + y \: \: 3y}{6 \: \: \: \: \: 4} = \binom{6 \: \: 0}{6 \: \: 4} [/tex]
Find x and y
Answer:
I am hacker
Step-by-step explanation:
[tex] \huge \color{blue}{ \rule{10000pt}{100000pt}}[/tex]
[tex] \huge \color{blue}{ \rule{10000pt}{100000pt}}[/tex]
[tex] \huge \color{blue}{ \rule{10000pt}{100000pt}}[/tex]
[tex] \huge \color{blue}{ \rule{10000pt}{100000pt}}[/tex]
[tex] \huge \color{blue}{ \rule{10000pt}{100000pt}}[/tex]
[tex] \huge \color{blue}{ \rule{10000pt}{100000pt}}[/tex]
[tex] \huge \color{blue}{ \rule{10000pt}{100000pt}}[/tex]
[tex] \huge \color{blue}{ \rule{10000pt}{100000pt}}[/tex]
you have a pathetic life
Answer:
By comparing ,
2x + y = 6
3y = 0
y= 0/3
•°• y = 0
2x + y = 6
2x + 0 = 6
2x = 6
x = 6/2
•°• x = 3
hope it helps :)
Complete the third step to solve the equation.
3 + 2x = -6x + 4
1. Isolate the variable term on one side: 3 + 8x = 4
2. Isolate the constant on the other side: 8x = 1
3. Solve for x: x =
Step-by-step explanation:
8x = 1
x = 1/8
So x = 1/8 is the correct answer
which of the following represents an arithmetic sequence with a common difference of -8.5?
Answer:
C
Step-by-step explanation:
to have a common difference of -8.5, the sequence has to consistently go down by 8.5.
in the first one, y would go up by 2 every time x goes up by 1, so its not that one.
in the second one, it does go down by 8.5 the first time but the next time it goes down by 4.25, so it's not consistent.
in the third one, each time it goes down by 8.5 so this is the answer.
the fourth one also isn't correct because the graph shows that it is going up, so you know for sure it's not that one.
A typical tip in a restaurant is 15% of the total bill. If the bill is $90, what would the typical tip be?
Answer:
Step-by-step explanation:
Let the tip be x.
You have to take 15% of 90 to get x.
The equation looks like
15/100 * 90 = x Multiply the numerator of the fraction by 90
1350/100 = x Divide by 100
x = 13.50
So the tip is 13.50
There are other ways you could do this problem, but I think this is the most easily understood.
A typical tip in a restaurant is 15% of the total bill. If the bill is $90, what would the typical tip be?
Answer:-$13.50
Explanation:-Let the tip be x.
→ x = [tex] 90 \times \frac{15}{100} [/tex]
→ x = [tex] \frac{1350}{100} [/tex]
→ x = $13.50
!!!! Which equation represents the graph shown? PLEASE HELP ASAP!!!
Answer:
y= 2x +1
Step-by-step explanation:
Slope-intercept form
y= mx +c, where m is the gradient and c is the slope.
Since all the slope in the options are the same, let's focus on the y-intercept. From the graph, the line cuts through the y-axis at y= 1. Thus, the y- intercept is 1.
Hence, y= 2x +1 is the correct option.
Extra notes:
[tex]\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]
help please i made it worth a lot of points
Answer:
[tex] \dfrac{4m^2n}{3p} [/tex]
second choice
Step-by-step explanation:
Deal with the numbers first, then with each set of equal variables.
Use the rule a^m/a^n = a^(m - n)
4/3 cannot be reduced, so the number part remains 4/3.
m^4/m^2 = m^2
n^3/n^2 = n^1 = n
p^3/p^4 = p^-1 = 1/p
Now put it all together:
[tex] \dfrac{4m^2n}{3p} [/tex]
second choice
[tex]\\ \sf{:}\longrightarrow \dfrac{4m^4n^3p^3}{3m^2n^2p^4}[/tex]
a^m/a^n=a^m-n[tex]\\ \sf{:}\longrightarrow \dfrac{4}{3}m^{4-2}n^{3-2}p^{3-4}[/tex]
[tex]\\ \sf{:}\longrightarrow \dfrac{4m^2np^{-1}}3}[/tex]
[tex]\\ \sf{:}\longrightarrow \dfrac{4m^2n}{3p}[/tex]
The population of a city has increased by 15% since it was last measured if the current population is 43700 what was the previous population?
Answer:
37,145
Step-by-step explanation:
43,700×15%= 6,555
43,700-6,555= 37,145
the previous population was 37,145
elliot's jogging rate is 9 km/h. how many kilometers can he travel in
a) 2 hours?
b) t hours.
50 POINTS AND BRAINILEST!
Answer:
A=18km B=equation is 9t
Step-by-step explanation:
Here's how I found the answer!
A: Here is our current proportion:
9km
--------
1 hr
Here is what we want:
9km xkm
------- = --------
1h 2h
Now, what did I do to 1 to get to 2? I multiplied by 2.
Since this is a ratio, it needs to be proportional.
So, we need to do the same thing for the numerator, 9.
9*2=18.
A=18km
B: This question is asking for an expression, which would be 9t. 9 is the amount he jogs per hour, and t is the hour that is unknown.
The distance travelled by Elliot's is 18 hours.
Given that, Elliot's jogging rate is 9 km/h.
What is the speed?The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.
a) The formula to find the distance is Distance = Speed × Time
= 9 × 2
= 18 hours
b) Distance = 9 × t
=9t hours
Therefore, the distance travelled by Elliot's is 18 hours.
To learn more about the speed, distance, and time visit:
brainly.com/question/4978052.
#SPJ2
If 2 people can paint 2 fences in 5 hours, how many hours in all will it take for 8 people to paint 8 fences.
Answer:
I believe that it would take 5 hours for 8 people to paint 8 fences.
Step-by-step explanation:
If 2 people are painting 2 fences in 5 hours, then 8 people can also paint 8 fences in the same time because each person is painting one fence. It take 5 hours to paint 1 fence if 1 person is painting it. The same goes for 2 or 8 people painting the same amount of fences as there are people. Im not 100% sure if this is accurate but I hope it helps.
(What is the Constant of Proportionality) The variable y has a proportional relationship with
x as suggested by the graph. Use the graph to
find the constant of proportionality.
Answer:
41
Step-by-step explanation:
In a direct proportion function, the constant of proportionality is the same as the slope of the graph.
Use points (0, 0) and (1, 41).
slope = (41 - 0)/(1 - 0) = 41/1 = 41
constant of proportionality = 41
12 - (8x - 20) < 12
Plz answer question
[tex]12 - (8x - 20) < 12 <=> 12- 8x+20<12<=> -8x <12-20-12 \\<=>-8x <-20<=>8x>20<=>x>\frac{20}{8}=\frac{5}{2}[/tex]
ANSWER: x > 5/2
Ok done. Thank to me :>
Answer:
[tex]x = \frac{5}{2} [/tex]
Step-by-step explanation:
12-(8x-20)<12
12-8x+20<12
-8x<12-12-20
-8x<-20
divide both by negetive 8
x>5/2
x> 2.5
Solve by factoring
5x2-8=-6x
Answer:
x= 4/5 or x = -2
Step-by-step explanation:
Step 1: Subtract -6x from both sides.
5x^2 -8 - -6x = -6x -6x
5x^2 + 6x - 8 = 0
Step 2: Factor left side of equation.
(5x - 4) (x + 2) = 0
Step 3: Set factors equal to 0.
5x - 4 = 0 or x + 2 = 0
Hense the Answer is x= 4/5 or x = -2
Maplewood Furniture Store is having a sale on dining room furniture. When a customer purchases a set of dining chairs, a one-time discount of $55 is applied to the total. During the sale, Rhianna buys a set of 6 chairs that match the table she inherited from her grandmother. Rhianna pays $455 in all. Which equation can you use to find the regular cost, c, of each chair? ( ANSWERS 6c - 55 = 455, 55(c - 6) = 455, 55c - 6 = 455, 6(c - 55) = 455,) What is the regular cost of the chair
Answer:
$85 per chair
Step-by-step explanation:
add the discount (55) to the total amount paid (455).
you should get 510
after this, divide 510 by 6 (because 6 chairs), and you should find that each chair costs $85
Subtract the following decimals
1. 19.87 - 8.54
2. 7.93 - 2.03
3. 96.6 - 88.5
Answer:
the answer is
1. 11.33
2. 5.9
3. 8.1
How old would u be if you was born in 1475 and died in 1946
Answer: 471 years old
Step-by-step explanation:
1946-1475= 471
Solve the inequality p+4<-24
90 POINTS
Step-by-step explanation:
p+4<-24
collect like terms
p<-28
[tex]\\ \rm\Rrightarrow p+4<-24[/tex]
[tex]\\ \rm\Rrightarrow p<-24-4[/tex]
[tex]\\ \rm\Rrightarrow p<-28[/tex]
So
[tex]\\ \rm\Rrightarrow p\in (-\infty,-28)[/tex]
Find the measure of the following: m arcTR = m arcTL = m ∠L = m ∠R = m ∠RTV =
Applying the inscribed angle theorem, the missing measures are:
measure of arc TR = 106°
measure of arc TL = 74°
m∠L = 50°
m∠R = 37°
m∠RTV = 37°
The Inscribed Angle TheoremMeasure of an inscribed angle = half the measure of the arc it intercepts
Central angle = measure of intercepted arc
We are given the following:
LR and TV are diameters of the circle O.
m∠TOR = 106° (central angle)
Find measure of arc TR:
measure of arc TR = m∠TOR
measure of arc TR = 106°
Find measure of arc TL:
measure of arc TL = 180° - m∠TOR
measure of arc TL = 180° - 106°
measure of arc TL = 74°
Find m∠L:
m∠L = ½(measure of arc TR)
m∠L = ½(106°)
m∠L = 50°
Find m∠R:
m∠R = ½(measure of arc TL)
m∠R = ½(74°)
m∠R = 37°
Find m∠RTV:
m∠RTV = ½(measure of arc RV)
m∠RTV = ½(180 - 106)
m∠RTV = ½(74)
m∠RTV = 37°
Learn more about the inscribed angle theorem on:
https://brainly.com/question/14267250
A bag contains 6 red tiles and 15 yellow tiles. Lilia removes 2 red tiles. How many
yellow tiles should she remove so that the ratio of red tiles to yellow tiles in the
bag stays equivalent to 6:15? Show your work.
Answer:
I would remove 5 yellow tiles.
Step-by-step explanation:
If the beginning ratio was 6:15, I would start by finding the ratio of 1 red tile to ? yellow tiles. By multiplying 1 by 15, giving you 15, and dividing 15 by 6, I would find out that 1 red tile is equal to 2.5 yellow tiles. I would then set up an equation so there is 1/2.5 = 4/?, the 4 being the remaining red tiles after removing 2. I would then find the yellow tiles by multiplying whatever number the 1st numerator can be multiplied by to equal the 2nd numerator. Basically, I know that 1 multiplied by 4 is equal to 4, so I would multiply 2.5 by 4, which is equal to 10. Now that I know 4 red tiles is equal to 10 yellow tiles, I would remove 5 tiles to keep the ratio equivalent to 6:15
HOPE THIS HELPS :)
Find the slope of the line that passes through the pair of points (4,3) (-1,6)
Answer:
-3/5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(6-3)/(-1-4)
m=3/(-5)
m=-3/5
Help I’m so confused
Answer:
5x: linear; monomial
-7: constant; monomial
x^2 + 4: quadratic, binomial
x^2 - 3x + 11: quadratic, trinomial
2x - 9: linear, binomial
Step-by-step explanation:
Name using degree: just count the highest number of variables in a single term. if it's 0, its a constant polynomial, if it's 1 it's linear, 2 quadratic, 3 cubic
Name using number of terms: just count the number of "things" added or subtracted. If there's one, it's a monomial, two: binomial, three: trinomial.
At the end of the Crimson Comet's soccer season, Coach Jackson hosted a party for the players. He had 20 players on his team and ordered enough extra large pizzas for each player to eat 3 slices. Extra large pizzas have 10 slices each and cost $17. How much did all the pizzas cost?
Answer:
correct answer is explained in the picture attached (tap on the image to view it fully)
A swim teacher sells lesson packages. The best deal has the highest ratio of lessons to total cost.
Swim Lesson Packages
Number of Total Cost
Lessons
1
$10
5
$40
10
$80
15
$80
Which package is the best deal?
0 1 lesson for $10
O 5 lessons for $40
ОООО
10 lessons for $80
O 15 lessons for $80
Answer:
15 lessons for $ 80
Step-by-step explanation:
In case 1
Cost of 1 lesson = $10
In case 2
Cost of 1 lesson = 40/5 = $8
In case 3
Cost of 1 lesson = 80/10 = $8
In case 4
Cost of 1 lesson = 80/15 = $ 5.33
Hence,
The best deal is case 4 i.e 15 lessons for $ 80
Answers plz fast ????? :D
Ans
Step-by-step explanation: