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.
Solve the equation using the distributive property and properties of equality.
Negative 5 (a + 3) = negative 55
What is the value of a?Solve the equation using the distributive property and properties of equality.
Negative 5 (a + 3) = negative 55
What is the value of a?
Answer:
a=8
Step-by-step explanation:
-5(a+3)=-55
-5a-15=-55
-5a=-40
-40/-5=8
a=8
Answer:
The answer is C A = 8
Step-by-step explanation:
Took the test on edge
-6x+9<25
14x-23<5x+13
Answer ASAP please !!!!!!!
Answer:
the answer is 0
Step-by-step explanation:
I know
Answer:
0 im a classic mathematical girlThe total cost of production of spare parts of computer is given as C=4000x-100x²+x³ where x is the number of units of spare parts produced so that the average cost will be maximum?
Answer: 50
Step-by-step explanation:
Ok, we have the equation:
C=4000x-100x²+x³
Notice that the leading coefficient in this equation is positive, this means that as the value of x increases, also will the value of C.
Then we will not have a maximum, because as x →∞, C(x) →∞.
By doing an online search i found this same question, but with the change that we want to find x such that the average cost is minimum (this makes more sense).
Then let's do that:
The total cost for making x pieces is:
C(x) = 4000x-100x²+x³
Then the average cost, or the cost per piece, will be:
F(x) = C(x)/x = 4000 - 100*x + x^2
Notice that F(x) is a quadratic function with a positive leading coefficient, then the arms of the quadratic function will open upwards, this means that the minimum will be at the vertex.
To find the minimum, we must look at the zeros of the first derivation of F(x):
F'(x) = dF(x)/dx = -100 + 2*x
The zero is when:
F'(x) = 0 = -100 + 2*x
100/2 = x
50 = x
Then the number of x that minimizes the average cost is x = 50.
Hey could you help me with this: A machine pours 250 millilitres of juice every 4 seconds. How many litres of juice does the machine pour every minute?`
Answer:
15000
Step-by-step explanation
4x15=60
60x250=15000
The rate of the juice poured by the machine every minute is 10 liters.
What is the ratio of two numbers?The ratio of two numbers a and b can be written as a : b = a/b.
The ratio of two quantities is the unit rate of one quantity with respect to the other.
The total amount of juice poured by machine is 250 ml.
And, the time taken for that is 4 second.
In order to find the rate in liter per minute, convert the time in seconds to minutes and volume in liters as follows,
60 second = 1 minute
⇒ 1 second = 1/60 minute
⇒ 4 second = 4/160 = 1/40 minutes.
And, 1 liter = 1000 milliliter
⇒ 1 milliliter = 1/1000 liter
⇒ 250 milliliter = 250/ 1000 = 1/4 liter
Now, the rate of juice poured per minute is given as,
1/4 ÷ 1/40
⇒ 1/4 × 40
⇒ 10 liter per minute
Hence, the machine pour every minute 10 liter of juice.
To know more about ratio click on,
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#SPJ2
Emile paid $3.96 for 4 songs.
What is the unit rate and what does it mean?
Enter your answers in the boxes.
Answer:
$0.99
Unit rate is cost for 1 individual (song)
Step-by-step explanation:
$3.96/4
0.99
99 cents
Need this ASAP
What is the constant of proportionality in the equationy=2x
Answer:
2
Step-by-step explanation:
[tex]y = 2x \\ \\ \frac{y}{x} = 2 \\ equating \: it \: with \: \\ \frac{y}{x} = k \\ \\ k = 2 \\ \\ [/tex]
Hence, constant of proportionality = 2
Find x and y. Give reasons to justify your solution. I will give brainliest PLS HELPPPPPPPP
Step-by-step explanation:
eog=90
27+3y=90
3y=63
y=21
aob=180
x+90+3x+18=180
x+3x+108=180
4x=180-108
4x=72
x=18
good luck dude
Answer: y= 21
x=18
Step-by-step explanation:
A random sample of 2,000 driver's license applications found that 17% reported their eye color as blue. What is the margin of error for the sample? Round to the nearest tenth of a percent.
Answer:
1.646%
Step-by-step explanation:
Sample size (n) = 2000
Sample Proportion p = 17% = 0.17
α = 0.95
Margin of Error :
Z(1-α)/2 * √((p*(1 - p)) /n)
Z(1 - 0.95/2) * √((0.17 * (1 - 0.17) / 2000)
Zscore = 1.96
1.96 * √(0.1411/2000)
1.96 * √0.00007055
1.96 * 0.0083994
Hence,
1.96 * 0.0083994
= 0.0164628
= 0.0164628 * 100%
= 1.646%
The margin of error for the random sample 2,000 driver's license applications is 1.646%.
What is margin of error?The probability or the chances of error while choosing or calculating a sample in a survey is called the margin of error.
It can be found out using the following formula.
[tex]MOE=Z_{\frac{\alpha}{2}}\times\left(\sqrt{p\times\dfrac{1-p}{n}}\right)[/tex]
Here, α is the level of significance, n is the sample size and p is the sample proportion.
A random sample of 2,000 driver's license applications found that 17% reported their eye color as blue.
Let level of significance is 0.05. At this level of significance the critical value of Z is 1.96. Put the values in the above formula as,
[tex]MOE=(1.96)\times\left(\sqrt{0.17\times\dfrac{1-0.17}{2000}}\right)\\MOE=0.01646\\MOE=1.646\%[/tex]
Thus, the margin of error for the random sample 2,000 driver's license applications is 1.646%.
Learn more about the margin of error here;
https://brainly.com/question/10218601
Find the balance of an account after 7 years if &700 is deposited into an account paying 4.3% interest compounded monthly.
The required balance is $939.9
Given,
Time=7 years
Principal=700
Rate=4.3%
Compound Intrest:
Compound interest (or compounding interest) is the interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periods.
The formula of the compound interest is,
[tex]A=P(1+\frac{r}{100})^T[/tex]
Now, substituting the given values into the above formula we get,
[tex]A=P(1+\frac{r}{100})^T \\A=700(1+\frac{4.3}{100})^7\\ A=939.9[/tex]
Learn More about Compound Intrest:
https://brainly.com/question/21072972
Triangle ABC is a scaled copy of triangle DEF. Side AB measures 12 cm and is the longest side of ABC. Side DE measures 8 cm and is the longest side of DEF.
a)Triangle ABC is a scaled copy of triangle DEF with what scale factor?
b)Triangle DEF is a scaled copy of triangle ABC with what scale factor?
Answer:
a) 3/2 or 1.5
b) 2/3 or ≈.66
Step-by-step explanation:
AB corresponds to DE because they are both the longest sides of their respective triangles.
a) The scale factor would be what you would multiply 8 by to get 12. 12/8 is 3/2 or 1.5
b) The scale factor would be what you multiply 12 by to get 8. 8/12 is 2/3 or ≈.66
The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 54 ounces and a standard deviation of 10 ounces. a) 68% of the widget weights lie between and b) What percentage of the widget weights lie between 24 and 64 ounces? % c) What percentage of the widget weights lie below 74 ? %
Answer:
The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 62 ounces and a standard deviation of 6 ounces. Use the Empirical Rule.
Step-by-step explanation:
Follow me.........
2(2x + 1) = 2+11)
bruh what is the answer
Answer:
basically you're solving for x.
Step-by-step explanation:
x = 11/4 for exact form
in decimal form
x= 2.75
in mixed number form
x = 2 3/4
but in this case it's 2.75
A package of 6 pairs of insulated gloves cost 32.94. What is the unit price of the pairs of socks
Answer:
$5.49 each
Step-by-step explanation:
32.94 divided by 6
the formula d= rt gives the distance traveled in time t at rate r. A bicyclist rides for 1.5 hours and travels 25 miles. what is the average rate of speed?
A. 26.5 miles per hour
B. 16.7 miles per hour
C. 23.5 miles per hour
D. 37.5 miles per hour
Using then given formula replace the letters with the given information.
25 miles = r x 1.5 hours
To find r divide both sides by 1.5:
R = 25/1.5
R = 16.7 miles per hour
The answer would be B.
Select the correct answer. Leeann works 20 hours per week and makes $15 per hour. What is her yearly pay? A. $10,100 B. $12,500 C. $15,600 D. $18,200
Answer:C
Step-by-step explanation:
Answer:
Step-by-step explanation:
The answer would be C, It would be 300$ an hour and then you multiply that by the amount of weeks you get the number in C.
need some help please
Answer:
Dan
Step-by-step explanation:
To figure out who ate the most, you can convert each fraction to decimal form. Whichever value is the largest belongs to the person who ate the most of a Snickers.
6/7 = 0.86
3/4 = 0.75
0.86 is bigger than 0.75, which means that Dan ate more of a Snickers.
100000x559977332955 :)))))))))
Answer:
5.5997733e+16
Answer:
gsgdhxhdhhdbxbcbb ;)
Step-by-step explanation:
idkjwhdhdhhchchffh
Write the ratio in fractional notation in lowest terms. 28 inches to 42 inches
28 to 42 means 28/42
We now reduce 28/42 to lowest terms.
28 ÷ 7 = 4
42 ÷ 7 = 6
We now have 4/6.
We now reduce 4/6.
4 ÷ 2 = 2
6 ÷ 2 = 3
Final answer: 2/3
Find the value of x that will make A||B.
А
B
4x
2x
x = [?]
Answer:
x = 30Step-by-step explanation:
4x + 2x = 180
6x = 180
x = 30
True of False:the following polynomial is written in standard form
2x^4-x^3+5x^2+x-7
Express x ⩽ −5 or x ⩾ −1 in the form ∣x+a∣ ⩾ b
Answer:
[tex]\mid x+3\mid\ge 2[/tex]
Step-by-step explanation:
Inequalities
The solution for the inequality:
[tex]\mid x+a\mid\ge b[/tex]
Can be expressed as:
[tex]x+a\ge b[/tex]
OR:
[tex]x+a\le -b[/tex]
Subtracting a to both inequalities:
[tex]x\ge b-a[/tex]
[tex]x\le -b-a[/tex]
Comparing to the given solutions, we have:
[tex]b-a=-1[/tex]
[tex]-b-a=-5[/tex]
Adding both equations:
[tex]-2a=-6[/tex]
Solving:
a=3
b=2
Thus, the required inequality form is:
[tex]\mathbf{\mid x+3\mid\ge 2}[/tex]
To divide 2/3 divided by 5 first shade the diagram to represent the dividend.
Answer:
heb he hrhrjejenennsksksskskkskskjsjjee
i need help, i don't get this problem
There are 134 Girl Scouts going camping each cabin can hold 8 girls. How many cabins will they need for all the Girl Scouts? Show all the work.
whats 2+2 super ez giving brainliest to correct 1
Answer:
4
Step-by-step explanation:
...........................
A gym membership went from 8700 to 6400. What expression equals the percent of change?
Answer:
(6400-8700)/(8700)*100
Step-by-step explanation:
percent of change = (new value - old value)/(old value) * 100
percent of change = (6400 - 8700)/(8700) * 100
f(x) = 3x2 – 3x + 1
Find f(-2)
Answer:
f(-2) = 19
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASStep-by-step explanation:
Step 1: Define
f(x) = 3x² - 3x + 1
f(-2) is x = -2
Step 2: Solve
Substitute: f(-2) = 3(-2)² - 3(-2) + 1Exponents: f(-2) = 3(4) - 3(-2) + 1Multiply: f(-2) = 12 + 6 + 1Add: f(-2) = 19Move vertices A, B, and C to create a triangle of your choice. Record the measures of the interior angles α, β, and γ for three different triangles. Then find the sum of the angle measures for each triangle.
Answer:
α β γ Sum of Interior Angles
75.96° 50.91 53.13° 180°
45° 126.87° 8.13° 180°
26.57° 135° 18.43° 180°
Step-by-step explanation: cause I did it
Answer:
S.A for Questions 1 and 2 for Edmentum and Plato
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Please show work! Please and thank you!
Enter the value of the expression p(12+q)−3
p
(
1
2
+
q
)
−
3
when p = 4 and q=34
q
=
3
4
.
Answer:
=pq+12p
Step-by-step explanation:
p(12+q)
=(p)(12+q)
=(p)(12)+(p)(q)
=12p+pq
Answer:
Its 2
Step-by-step explanation:
Just did this, please give brainliest!
