Answer:
origin.......................
Answer:on the x axis
Step-by-step explanation:
The Los Angeles area experiences many earthquakes. In 1994, the Northridge earthquake measured 6.7 on the Richter scale. In 2014, Los Angeles experienced an earthquake that measured 5.1 on the Richter scale. Compare the intensities of the two earthquakes. Use a logarithmic model to solve. Round to the nearest whole number.
Answer:
[tex]I_1=40I_2[/tex]
Step-by-step explanation:
[tex]M_1[/tex] = Magnitude of 1994 earthquake = 6.7
[tex]M_2[/tex] = Magnitude of 2014 earthquake = 5.1
[tex]I_1[/tex] = Intensity of 1994 earthquake
[tex]I_2[/tex] = Intensity of 2014 earthquake
[tex]I_0[/tex] = Zero-level earthquake the same distance from the epicenter = 0.001 mm
Magnitude is given by
[tex]M_1=\log(\dfrac{I_1}{I_0})\\\Rightarrow I_010^{M_1}=I_1\\\Rightarrow I_1=I_010^{6.7}[/tex]
[tex]M_2=\log(\dfrac{I_2}{I_0})\\\Rightarrow I_010^{M_2}=I_2\\\Rightarrow I_2=I_010^{5.1}[/tex]
Dividing the above intensities with each other we get
[tex]\dfrac{I_1}{I_2}=\dfrac{I_010^{6.7}}{I_010^{5.1}}\\\Rightarrow \dfrac{I_1}{I_2}=39.81\approx 40\\\Rightarrow I_1=40I_2[/tex]
The intensity of the earthquake in 1994 was 40 times stronger than the earthquake in 2014.
The length of a rectangle is four times its width. Twice the perimeter of that rectangle is 160 cm. Find
the length and width of that rectangle. pls answer fast
Answer:
Step-by-step explanation:
Given twice the perimeter of rectangle =160
Let width of the rectangle=X
So length of the rectangle =4x
2(perimeter of rectangle)=160
2[2(length+width)]=160
4(4x+x)=160
5x=160/4
5x=40
X=40/8
X=5cm
So length of the rectangle =4x
=20cm
Width of the rectangle =X
=5cm.
Length = 4*5 = 20 cm
Width. = 4 cm.
nixon cuts 5/6 inch sections of wood to make a birdhouse roof . he cut 24 sections. how many inches did he cut
Answer: 20 inches
Step-by-step explanation: 5/6 x 24 = 20
Answer:20 Inches
Step-by-step explanation:
5/6in*24=20inches
f(x)=2^x+1 and g(x)= f (x-3)
Enter the rule of function for g in the box
g (x) =
Which is not a true statement about 4x^2 + 5x - 1 ?
Answer:
ndidnfnfjkfnfb
Step-by-step explanation:
nxbcudnbdbdhdikd
Answer:
where is the statement
Please i need help
A point on a wheel has a constant angular velocity of 3 rad/s. The angle turned through in 15 seconds is:
45 rad
10π
5 rad
90π rad
Explain this to me please.
Answer:
f(x + 3) = x² + 3x - 2
General Formulas and Concepts:
Order of Operations: BPEMDASExpand by FOIL (First Outside Inside Last)Step-by-step explanation:
Step 1: Define
f(x) = x² - 3x - 2
f(x + 3) is x = x + 3
Step 2: Find
Substitute: f(x + 3) = (x + 3)² - 3(x + 3) - 2Expand by FOILing: f(x + 3) = x² + 6x + 9 - 3(x + 3) - 2Distribute 3: f(x + 3) = x² + 6x + 9 - 3x - 9 - 2Combine like terms: f(x + 3) = x² + 3x - 2Calculate the monthly payment for a $2,500 loan at 9% annual interest for two years.
In your own words how do you graph an equation that is in slope-intercept form?
Step-by-step explanation:
find the y intercept then graph using your slope
Candace bought 14 sacks of dog food to share equally among three dog shelters. How much dog food does each shelter get?
Answer:
4 sacks
Step-by-step explanation:
i will give the BRAINIEST
given g (x)= f (x)+k. Identify a value of k that transforms f into g. Round your answer to the nearest integer.
K= 5
Step-by-step explanation:
You must count the distance between so if you look at where it lines up perfect -3,0 up to 2 the distance is 5
Answer:
k = - 5Step-by-step explanation:
The slopes are same and y-intercepts are:
2 for f and -3 for gSince we have:
g(x) = f(x) + kWe can find the value of k:
-3 = 2 + kk = -3 - 2k = -5Answer is k = - 5
what is x?
6-4x=6x-8x-2
Answer:
x=4
Step-by-step explanation:
isolate the variable (x) by dividing each side by the factors that don't contain the variable
(04.02 LC) The graph below shows the numbers of cups of apple juice that are mixed with different numbers of cups of lemon-lime soda to make servings of apple soda: What is the ratio of the number of cups of apple juice to the number of cups of lemon-lime soda? (5 points)
Answer:
Ratio of the number of cups of apple juice to the number of cups of lemon lime soda is 6 : 1
Step-by-step explanation:
From the graph attached,
Number of cups of apple juice (A) is proportional to the number of cups of lemon lime soda (L).
A ∝ L
A = kL
Here 'k' is the proportionality constant.
k = [tex]\frac{A}{L}[/tex]
= [tex]\frac{6}{1}[/tex]
Therefore, ratio of the number of cups of apple juice to the number of cups of lemon lime soda is 6 : 1.
Will give brainliest if u help!!! Thank you!
The tread life of a particular brand of tire is a random variable best described by a normal distribution with a mean of 60,000 miles and a standard deviation of 1600 miles. What warranty should the company use if they want 94% of the tires to outlast the warranty?
Answer:
The warranty the company should use is of 57,520 mile.
Step-by-step explanation:
Let X denote the tread life of a particular brand of tire.
It is provided that, [tex]X\sim N(60,000, 1600^{2})[/tex].
Also provided that the company wants 94% of the tires to outlast the warranty.
Let x denote the warranty .
That is, P (X > x) = 0.94.
⇒ P (X < x) = 0.06
⇒ P (Z < z) = 0.06
The corresponding value of z is -1.55.
*Use a z-table.
Compute the value of x as follows:
[tex]z=\frac{X-\mu}{\sigma}\\\\-1.55=\frac{x-60000}{1600}\\\\x=60000-(1.55\times 1600)\\\\x=57520[/tex]
Thus, the warranty the company should use is of 57,520 mile.
What are 25 times by the same number then divide it by sixty
Use the vertex formula to find the vertex of the quadratic function f(x) = -x2 + 4x - 8.
A path for a new city park will connect the park entrance to Main Street, as shown to the right. The path should be perpendicular to Main Street. What is an equation that represents the path?
Answer:
[tex] y = -\frac{1}{2}x + 3 [/tex]
Step-by-step explanation:
To create an equation in slope-intercept form, y = mx + b, for the path, we need to find slope (m) of the path, and also determine the y-intercept (b) of the path.
First, find the slope of the main street:
Using two points on the main street, (2, 3) and (3, 5),
[tex] slope (m) = \frac{y_2 - y_1}{x_2 -x_1} = \frac{5 - 3}{3 - 2} = \frac{2}{1} = 2 [/tex]
Since the path would be perpendicular to the main street, therefore, the slope of the path would be the negative reciprocal of 2.
Thus, the slope of the path, m = -½.
The y-intercept of the path is the point at which the line of the path cuts across the y-axis.
The path intercepts the y-axis at y = 3. Therefore, the y-intercept (b) = 3.
Substitute m = -½, and b = 3 into [tex] y = mx + b [/tex].
✅The equation that represents the path would be:
[tex] y = -\frac{1}{2}x + 3 [/tex]
Answer:
its y=1/2x+4 lol the other guy was 1 off
Step-by-step explanation:
4 cups 6 fl oz - 2 cups 7 fl oz
Answer:
What's the question?
Step-by-step explanation:
Put it DB and I'll gladly answer!
A team of 5 students is chosen at random from 14 girls and 13 boys. Determine
in how many ways can the team be chosen if
a) there are no restrictions.
b) there must be more girls than boys.
Answer:
A)9687600
b)340704
Step-by-step explanation:
The slope is the same as the unit rate and constant of a proportionality in a _______.
A. Prortional relationship
B. Slope
C. Rise
D. x2- x1
E. Run
F.y2 - y1
Answer:
I think the answer is B: Slope
Step-by-step explanation:
On a graph, proportional relationships are straight lines that extend through the origin. The relative steepness of the line is called slope; the slope of a graph is the same as the constant of proportionality of the equation.
Hope this helped, Have a Wonderful Day!!
The slope is the same as the unit rate and constant of proportionality in a slope. Then the correct option is B.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
The slope is the same as the unit rate and constant of proportionality in a slope. Then the correct option is B.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ5
Does this graph represent a function? Why or why not?
A. No, because it fails the vertical line test.
B. No, because it is not a curve.
C. Yes, because it passes the vertical line test.
D. Yes, because it has two straight lines.
Let h represent the number of hours it takes to fix a computer The expression shows the cost a cemputer repair center charges its customers How much does a 3.5 - hour repair cost?
Answer:
is this the full problem? you would just plug in 3.5 for h, but i dont see the equation
Step-by-step explanation:
What’s the answer for r
Answer:
can you show a picture :)
find the missing value for each of the following 3 questions
1. 5% of 60 is _____
2. 40% of 500 is _____
3. 75% of 60 is ______
Answer:
1. 3
2. 200
3. 45
Step-by-step explanation:
-2y-5(6z-4y)-3z can anyone help me
Answer:
18y - 33z
Step-by-step explanation:
-2y-5(6z-4y)-3z
-2y-30z+20y-3z
-2y + 20y + -30z - 3z
18y - 33z
The library charged Monica $50 for a book that was 10 days overdue
ANSWER PLEASE !!!!! I NEED IT NOW!!
Question 3 of 10
Which of the following are trinomials?
A. 8x
B. 3y +5y2 + y
C. 6x2
D. x4 + x2 +1
E. x2 +3
F. x11
Answer:
So, only B and D are trinomials.
Step-by-step explanation:
A trinomial is an algebraic expression having three terms in it.
A. 8x
Not a trinomial because, it contains only one term.
B. 3y +5y2 + y
A trinomial because, it contains three terms.
C. 6x2
Not a trinomial because, it contains only one term.
D. x4 + x2 +1
A trinomial because, it contains three terms.
E. x2 +3
Not a trinomial because, it contains two terms only.
F. x11
Not a trinomial because, it contains only one term.
So, only B and D are trinomials.
Question The average number of acres burned by forest and range fires in a county is 4,500 acres per year, with a standard deviation of 780 acres. The distribution of the number of acres burned is normal. What is the probability that between 3,000 and 4,800 acres will be burned in any given year? Round your answer to four decimal places. Provide your answer below:
Answer:
The probability that between 3,000 and 4,800 acres will be burned in any given year is 0.6206
Step-by-step explanation:
Given
Mean = μ = 4500 acres
SD = σ = 780 Acres
Two data points between which the probability has to be calculated are:
3000 and 4800
x1 = 3000
x2 = 4800
z-score will be found for both data points
z-score is given by the formula
[tex]z = \frac{x-mean}{SD}[/tex]
The z-scores are:
[tex]z_1 = \frac{x_1-mean}{SD} = \frac{3000-4500}{780} = \frac{-1500}{780} = -1.92\\z_2 = \frac{x_2-mean}{SD} = \frac{4800-4500}{780} = \frac{300}{780} = 0.3846[/tex]
Now we have to find probabilities for both z-scores using the z-score table
[tex]P(z_1<-1.92) =0.02743\\P(z_2<0.3846)= 0.6480[/tex]
Now for the probability between both values
[tex]P(-1.92<z<0.3846) = P(z_2) - P(z_1) = 0.6480-0.02743 = 0.62057[/tex]
Rounding off to four decimal places
0.6206
Hence,
The probability that between 3,000 and 4,800 acres will be burned in any given year is 0.6206