The magnitude, M, of an earthquake is 1.544 units when the magnitude of an earthquake is 1,000 times more intense than a standard earthquake
It is given that the magnitude of m, of an earthquake, is defined as:
[tex]\rm M=log\frac{I}{S}[/tex]
Where 'I' is the intensity of the earthquake (measured by the amplitude of the seismograph wave) and 'S' is the intensity of a "standard" earthquake.
It is required to find the magnitude of the earthquake that is 1,000 times more intense than a standard earthquake.
What is Logarithm?It is another way to represent the power of numbers and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.
[tex]\rm a^b=c\\\rm log_ac=b[/tex]
We have:
[tex]\rm M=log\frac{I}{S}[/tex]
and [tex]\rm I=35S[/tex] putting this value in the above equation, we get:
[tex]\rm M=log\frac{35S}{S}[/tex]
[tex]\rm M=log35[/tex]
[tex]\rm M=1.544[/tex] (From log table)
Thus, The magnitude, M, of an earthquake is 1.544 units.
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Answer:
M=3
Step-by-step explanation:
Which would prove that ab ≅ ac? converse of the isosceles triangle theorem substitution definition of congruency converse of the triangle parts relationship theorem
From the AAS property of congruency the side ab≅ac in the isosceles triangle.
What is the congruency of the triangle?Congruency generally shows the similarities between two triangles or any other shape for the similarity of the two shapes they should have any three properties same like their three sides, Three angles or one angle two sides and so on.
Now for an Isosceles triangle abc given in the figure
[tex]\angle bad=\angle cad[/tex]
[tex]\angle abd=\angle acd[/tex]
[tex]ad=ad[/tex] (common side)
So from the AAS property, the triangle [tex]\Delta bad=\Delta acd[/tex] are congruence
The side ab will also be equal to the side ac.
So from the AAS property of congruency is the side ab≅ac in the isosceles triangle.
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Answer:
The answer would be "A". Converse of the isosceles triangle theorem.
Step-by-step explanation:
You're Welcome :)
At the market, 8 apples cost $4.How much do 9 apples cost?
Answer:
$4.50
Step-by-step explanation:
We must find the unit rate.
Unit rate equals: 1 apple for 50 cents.
.5 multiplied by 9 is 4.5
Answer:
Step-by-step explanation:
C.f.
Terri Clifford bought a Sunday dress for $36. The sales tax was 6%. Find the total cost of the dress
Answer: $38.16
Step-by-step explanation:
Finding total costs with sales tax is really quite simple. Here is the formula.
O x P + O
use key below.
1. Solve
= 36 x 0.06
= $2.16
= 2.16 + 36
= $38.16
Key:
O = Original Price
P = Sales Tax Percentage
I hoped this answer helped your wonderful, creative minds. Keep working hard, and touch the stars.
- Mona May
y= -4 +6
3x + 4y = -2
Is (2, 2) a solution of the system?
Help!
Answer:
[tex]{y,x}={2,-10/3}[/tex] ( No)
Step-by-step equation:
System of Linear Equations entered :
[1] y=-4+6
[2] 3x+4y=-2
Equations Simplified or Rearranged :
[1] y = 2
[2] 4y + 3x = -2
Graphic Representation of the Equations :
0? + y = 2 3? + 4y = -2
Solve by Substitution :
// Solve equation [1] for the variable y
[1] y = 2
// Plug this in for variable y in equation [2]
[2] 4•(2) + 3x = -2
[2] 3x = -10
// Solve equation [2] for the variable x
[2] 3x = - 10
[2] x = - 10/3
// By now we know this much :
y = 2
x = -10/3
We are done
Solution :
{y,x} = {2,-10/3}
Help solve for x. I don’t understand it
Answer:
12
Step-by-step explanation:
I have to classify what shape it is... what is number 5
Answer:
Its a parallelogram
Hope you have a great day!
Solve the equation.
Z
-7=
3
12
7
Oz=
3
Oz=2
Oz=-21
Oz=21
Answer:
What is equation?
Step-by-step explanation:
The measure of one angle is 130°. Which statement is true regarding the 130° angle and angle 3? They are same-side interior angles, so angle 3 measures 50°. They are alternate interior angles, so angle 3 also measures 130°. They are corresponding angles, so angle 3 also measures 130°. They are alternate exterior angles, so angle 3 measures 50°.
Answer:
Option B. ∠3 = 130°
Step-by-step explanation:
In the given question a, b, c are the parallel wires and pipe cleaner is the transverse.
Now we take two parallel wires a, c and pipe cleaner as transverse then
we have to find the relation between angle 4 and 130°
∠4 = ∠9 [ alternate interior angles ]
∠3 = 130° [ they are the alternate interior angles ]
Therefore option B. is the correct option.
Answer:
B. They are alternate interior angles, so angle 3 also measures 130°.
Step-by-step explanation:
Construct a circle through points X, Y, and Z PLEASE HELPPP
Answer:
The number of given points=3, y, and z
Step-by-step explanation:
hello people ~
The length and breadth of a rectangular wall are 75 m and 32 m, respectively. Find the cost of painting the wall if the rate of painting is Rs 3 per sq. m.
Cost = 3 rupees per sq. m.
Cost = 3 x 2400
Cost = 7200 rupees
So your answer is 7,200
2x – 2y = 24
4x + 7y = –40
Step-by-step explanation:
is this simultaneous equation
reply in the comments
The ordered pair (-1, 4) is a solution to which of the pairs of equations? (1)
(1) y = -x + 3, y = x + 1
(2) x - y = 2, x + y = - 6
(3) x + y = - 2, 7x - 4y = 8
(4) y = -x + 3, y = 2x + 6
Answer:
d
Step-by-step explanation:
Substitute x = -1 into the equations. If the solution is y = 4 for both, then (-1, 4) is the solution.
(a) y = 1 + 3 = 4
y = -1 + 1 = 0
(b) -1 - y = 2 ⇒ y = -3
-1 + y = -6 ⇒ y = -5
(c) -1 + y = -2 ⇒ y = -1
7(-1) - 4y = 8 ⇒ y = -15/4
(d) y = 1 + 3 = 4
y = 2(-1) = 6 = 4
What is the solution set for - 4x + 10 > 5x + 55?
A. x 25
B. x > 45
C. X <-5
D. X <-45
Answer:
d
Step-by-step explanation:
took the test
Answer:
C
Step-by-step explanation:
‒4x‒5x>55‒10=‒9x>45
=‒9x/-9>45/‒9
=x<-5
i think it is easy &i hope my answer helps you
Miguel can use all or part of his $25 gift card to make a music purchase. each song costs $1.50, and there is a $1.00 per account activation fee. which inequalities can represent this situation if m is the number of songs he can buy? select two options. 1 1.5 m less-than-or-equal-to 25 1 1.5 m greater-than 25 25 greater-than 1 1.5 m 1 1.5 m less-than 25 25 greater-than-or-equal-to 1 1.5 m
The inequalities that can represent this situation if m is the number of songs Miguel can buy are:
Option A: [tex]1 + 1.5m \leq25\\[/tex] Option E: [tex]25 \geq 1 + 1.5m[/tex] How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
For this case, it is provided that:
The price of an account activation = $1.00The price of a song = $1.50Total amount that Miguel has = $25m = number of songs that Miguel can buyIf he buys m = 0, he doesn't need to open an account, thus, saving all money of gift.
Else, if he buys m > 0, then:
Let c = total cost he will have to pay for m songs.
m songs will cost [tex]1.50 \times m[/tex] dollars
Total cost he will have to pay = account activation charge + m songs; cost
[tex]c = 1 + 1.5m[/tex]
(we don't write symbols like of currency generally, and understand it from context. Also, sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together)
Since we have limited money, so:
c needs to be less than or equal to $25
This is symbolically written as:
[tex]c \leq 25[/tex]
But since we've got [tex]c = 1 + 1.5m[/tex], thus:
[tex]1 + 1.5m \leq25\\[/tex] (option A).
This can be reversed as:
[tex]25 \geq 1 + 1.5m[/tex] (Option E)
(both things are same, as [tex]c \leq 25[/tex] or [tex]25 \geq c[/tex] both are same since if c is less than or equal to 25, then that means 25 is greater than or equal to c)
(the case when c= 0, we have 0 < 25, so it is also included in those two options, as a special case)
Thus, the inequalities that can represent this situation if m is the number of songs Miguel can buy are:
Option A: [tex]1 + 1.5m \leq25\\[/tex] Option E: [tex]25 \geq 1 + 1.5m[/tex]Learn more about inequalities here:
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Answer:
A and E are correct
Step-by-step explanation:
I'm thinking of 2 numbers that are multiples of BOTH 10 and 5. Which numbers could be my number?
Answer:
any numbers that are multiples of 10, such as
10 and 20
40 and 60
50 and 80
Step-by-step explanation:
Because 5 is a factor of 10, all multiples of 10 will also be multiplies of 5, such as 10, 20, 30, 40, 50, 60, and so on.
Work out the perimeter of a semicircle with radius 3 cm
Give your answer in terms of Pie
Answer:
3π
Step-by-step explanation:
Perimeter of circle = 2rπ
r = 3
P = 6 π
semicircle = 1/2 circle
P = 3π
#3 and 4, show work please
Answer:
Question 3: 2.7 hours
Question 4: 2.3 hours
Step-by-step explanation:
Question 3:
Time taken by 1st delivery driver = t1 = 6 hours
Time taken by 2nd delivery driver = t2= 5 hours
Time together = T
[tex]{\dfrac{ 1 }{ T } = \dfrac{ 1 }{ t1 } + \dfrac{ 1 }{ t2 }}[/tex]
[tex]{\dfrac{ 1 }{ T } = \dfrac{ 1 }{ 6 } + \dfrac{ 1 }{ 5 }}[/tex]
[tex]{\dfrac{ 1 }{ T } = 0.166+0.2 = 0.366}[/tex]
[tex]{T = \dfrac{ 1 }{ 0.366 } = 2.732}[/tex]
Rounded to the nearest tenth: 2.7 hours
Question 4:
The first valve takes 4 hours to completely drain = t1
[tex]\mathrm{Rate\:for\:first\:valve\:will\:be\:\dfrac{1}{4}\:per\:hour}[/tex]
The second valve taken 5.25 hours to completely drain = t2
[tex]\mathrm{Rate\:for\:second\:valve\:will\:be\:\dfrac{1}{5.25}\:per\:hour}[/tex]
Combined time = T
[tex]{\dfrac{ 1 }{ T } = \dfrac{ 1 }{ t1 } + \dfrac{ 1 }{ t2 }}[/tex]
[tex]{\dfrac{ 1 }{ T } = \dfrac{ 1 }{ 4 } + \dfrac{ 1 }{ 5.25 }}[/tex]
[tex]{\dfrac{ 1 }{ T } = 0.25+0.190 = 0.44}[/tex]
[tex]{T = \dfrac{ 1 }{ 0.44 } = 2.272}[/tex]
Rounded to the nearest tenth: 2.3 hours
A hotel manager needs to buy beds and chairs. He has a total budget of 2000 dollars, and each bed costs $150 and each chair costs $50. Write an inequality to describe the possible number of beds and chairs that he can buy. If he buys 6 beds, what is the maximum number of chairs he can buy?
Answer:
The maximum number of chairs he can buy is C ≤ 22
Step-by-step explanation:
Let B represent the number of beds the hotel manager can buy.
Let C represent the number of chairs the hotel manager can buy.
Putting this into an expression, we have:
150B + 50C ≤ 2000
Since the hotel manager buys 6 beds, putting this into the information above:
150 (6) + 50C ≤ 2000
900 + 50C ≤ 2000
50C ≤ 2000 - 900
50C ≤ 1100
C ≤ 22
28z+16? Help? Fr? ……. It said it was to short so?
Answer:
4(7z+4)
Step-by-step explanation:
If you are trying to factors this then it would be 4(7z+4)
A student buys two hot dogs and three drinks at the carnival for $5.25. The drinks
cost half as much as the hot dogs.
How much is each hot dog?
A $0.43
B $0.75
C $1.05
D $1.50
Answer:
B $0.75
Step-by-step explanation:
0.75x 3= 2.25
if the hotdogs are 2x as much as the drinks then
0.75x2= 1.50
then if there are 2 hot dogs
1.50x2=3
2.25+3=5.25
Answer This PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSs
Find the Total Are of the figure!
Answer:
the answer should be 27 you jus add them up
Step-by-step explanation:
just add them up and you get 27
13. Four coins with tails up.
Turning any three coins over counts as one move.
How many moves does it take to get all coins to show heads if turning three coins at a time counts as one
move?
Answer:
4
Step-by-step explanation:
3 is what percent of 5?
60%
Step-by-step explanation:Hi there !
5 ........... 100%
3 .................x%
x = 3×100/5
= 300/5
= 60%
Good luck !
determine the solution to each linear system by using the substitution method
y=4x+2
y=3x-2
Answer:
The solution is x = -4
Step-by-step explanation:
y=4x+2
we can see here that y equals 4x+2
y =3x-2
The y here is the same y, therefore we ban subtitute the first equation into the second one, like this:
y =3x-2
4x+2 = 3x-2
now just solve it algebraically.
4x + 2 - 3x = 3x -2 -3x
x +2 -2 = -2 -2
x = -4
The solution is x = -4
(07.05)
A random sample of students at Spectrum University was asked to estimate
the average number of minutes they spent on social media per day and their
grade point average (GPA). The data are shown in the table.
Minutes Spent on Social
Media
35 58 61
64 72 75 79 101 115
Grade Point Average
3.9 3.6 3.55 3.5 3.2 3.5.3 2.8 2.5
A researcher wants to determine whether there is a relationship between the
number of minutes spent on social media each day and GPA. What are the
appropriate testing hypotheses?
The appropriate testing hypotheses to determine whether there is a relationship between the number of minutes spent on social media each day and GPA is c H.o: B = 0, Ha: B ≠ 0.
What is hypothesis testing?Hypothesis testing simply means an act in statistics whereby an analyst tests an assumption regarding a population parameter.
In this case, from the complete question, the hypotheses to determine whether there is a relationship between the number of minutes spent on social media each day and GPA is H.o: B = 0, Ha: B ≠ 0.
This is essential to provide evidence concerning the plausibility of the hypothesis with the data given.
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The late fee for a library book is $2.50 plus an additional 20 cents per day. If the total charge was 3.10, how many days late was the book?
Answer:
4 Days Late
Step-by-step explanation:
The first is 2.50, then 20 per day.
A person invests 6500 dollars in a bank. The bank pays 4% interest compounded daily. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 8900 dollars?
The time required for the invested money to reach the accrued amount is 8 years.
What is the time required to acquire the accrued amount?The compound interest formula is expressed as;
A = P(1 + r/n)^(n*t)
Where A is accrued amount, P is principal, r is rate, and t is time.
Given that;
Principal P = $6500Interest rate r = 4% = 4/100 = 0.04Compounded daily n = 365 dayAccrued amount A = $8900?Plug the given values into the compound interest formula and solve for time t.
A = P(1 + r/n)^(n*t)
t = In(A/P) / n[ In( 1 + r/n ) ]
t = (In( $8900 / 6500 )) / ( 365[ In( 1 + 0.04/365 ) ] )
t = (In( $8900 / 6500 )) / ( 365[ In( 1 + 0.04/365 ) ] )
t = 7.857
t = 8 years.
Therefore, the required time is 8 years.
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#SPJ1
Answer:7.9
Step-by-step explanation:
the line shown contains ( -1,2) and (1,-1) what is the slope of the line
Answer:
m=-3/2
Step-by-step explanation:
To find slope we can use the formula y2-y1/x2-x1
Let's plug in our points
-1-2/1--1 which is -3/2
Our slope is -3/2
Answer:
m=-3/2
Step-by-step explanation:
In order to solve this problem, you must use the slope formula.
Slope formula:
[tex]\sf{\dfrac{Y_2-Y_1}{X_2-X_1}=\dfrac{RISE}{RUN} }[/tex]
y2=(-1)
y1=2
x2=1
x1=(-1)
Rewrite the problem down.
Solve.
[tex]\sf{\dfrac{-1-2}{1-(-1)}=\dfrac{-1-2}{1+1}=\dfrac{-3}{2}=\boxed{\sf{-\dfrac{3}{2} }} }[/tex]
Therefore, the slope is -3/2, which is our answer.
I hope this helps you! Let me know if my answer is wrong or not.
Select the correct answer.
4
What is the sum of -65 and 6?
O A. 121
B.
29
5
O C.
o
OD. – 124
Answer:
-59 im pretty sure
How many triangles can be constructed with side lengths of 6.4 cm, 8.3 cm, and 14.6 cm? 0 1 more than one
Answer: only one triangle
Step-by-step explanation:
How many triangles can be constructed with side lengths of 6.4 cm, 8.3 cm, and 14.6 cm? 0 1 more than one