Answer:
Relative Size, S, is 1584.89
Step-by-step explanation:
The equation is [tex]R=log_{10}(S)[/tex]
Where,
R is the measurement in Richter ScaleS is the relative size of the earthquareIt is given that in Richter Scale, an earthquake measured 3.2, so [tex]R=3.2[/tex].
They want to know relative size, S, so we put given information in equation and solve for S:
[tex]R=log_{10}(S)\\3.2=log_{10}(S)[/tex]
Converting to exponential form, we have:
[tex]3.2=log_{10}(S)\\S=10^{3.2}\\S=1584.8932[/tex]
Rounding to nearest hundredth, we have:
[tex]S=1584.89[/tex]
Final answer:
To find the relative size of an earthquake measured at 3.2 on the Richter scale, calculate 10 to the power of 3.2. This results in a relative size of approximately 1584.89 when expressed to the nearest hundredth.
Explanation:
The relationship between the relative size of an earthquake, S, and the measure of the earthquake on the Richter scale, R, is given by the equation log S = R. If an earthquake measured 3.2 on the Richter scale, we can calculate its relative size by finding the antilogarithm (typically the base 10) of the Richter scale magnitude. This means finding 10 to the power of the magnitude.
To find the relative size for an earthquake that measured 3.2 on the Richter scale:
Use the equation log S = R where R = 3.2.Find the antilog of R, which is 10 to the power of 3.2.Perform the calculation to obtain S, which will be S = 10^3.2.Using a calculator, we can compute that S ≈ 1584.89, which to the nearest hundredth is 1584.89.The relative size or seismic-wave amplitude of the earthquake is therefore approximately 1584.89 when expressed to the nearest hundredth.
33 points
What did I do wrong for this equasion the answer cannot be a decimal
Thank you in advanced
Answer:
x=-5, y=-2
Step-by-step explanation:
6x+ 28 =y
5x-y=-23
Substitute 6x+28 in for y in the second equation
5 x-(6x+28)=-23
Distribute the negative sign
5x -6x-28 = -23
-x -28 = -23
Add 28 to each side
-x-28+28 = -23+28
-x = 5
Multiply by -1
x = -5
Now we need to solve for y
y = 6x+28
Substitute x=-5
y = 6(-5) + 28
y = -30+28
y = -2
Jennifer has 7 red marbles and blues marbles. how many marbles does she have?
For this case we must find the number of marbles that Jennifer has.
Let T be the variable that determines the number of total marbles that Jennifer has.
Let x be the variable that represents the number of red marbles that Jennifer has. So, [tex]x = 7[/tex]
Let y, the variable that represents the number of marbles blues Jennifer has. So, [tex]y = 7[/tex]
To find the value of T, we must add the variables x and y.
So, [tex]T = x + y[/tex]
[tex]T = x + y[/tex]
[tex]T = 7 + 7\\T = 14[/tex]
So, Jennifer has 14 marbles.
Answer:
14 marbles
Who runs the fastest ? Help
Answer:
Emily
Step-by-step explanation:
I made all the runners times into minutes. So Adam ran 450 feet in one minute (9 × 60), Jake ran 696 feet in 1 minute (If you divide 383 by 33 you get 11.6, then you multiply 11.6 by 30 to get 348 and then 348 × 2 is 696), Ron ran 528 in a minute (1 mile = 5280 feet and 600 seconds is 10 minutes), and Emily ran 755 feet in 1 minute. So your answer is Emily because she ran the most distance in 1 minute.
The expression 3/8d+3/4 factored is
The answer would be (3/8) (d+2)
The expression 3/8d + 3/4 is factored by first factoring out the common factor of 3, resulting in the factored form 3*(1/8d + 1/4).
The student's question involves the factoring of a linear algebraic expression. The given expression is 3/8d + 3/4, where 'd' is a variable. To factor this expression, we need to look for common factors in each term. Here, both terms contain a factor of 3, which we can factor out. This results in:
Factor out the common factor of 3: 3*(1/8d + 1/4).Recognize that 1/4 is equivalent to 2/8 in order to have a common denominator.Combine the two terms inside the parentheses: 3*(1/8d + 2/8).Thus, the fully factored expression is 3/8d + 3/4 = 3*(1/8d + 1/4), with the understanding that 1/4 has been converted to 2/8 to have a common denominator.
The entry fee to the fair is $4.00. Each ride requires a ticket that cost $0.50. Heidi spent a total of $12.00. How many ticket did Heidi purchase?
Answer:
16 tickets
Step-by-step explanation:
The entry fee ($4) is to be subtracted from the total that Heidi spent ($12). This leads to $8 left for spending on tickets.
Let the number of tickets Heidi purchased be x. Then:
$8.00 = ($.50/ticket)x.
Dividing both sides by $0.50,we get 16.
Heidi bought 16 ride tickets.
What is the correct answer?
Answer:
thousands place?
Step-by-step explanation:
169.866666667
9 in tenths place
6 in hundredths place
1 is in the thousands place
Beanbag chairs it normally sell for $36.30 on sale for $32.12 find the percent of discount
Answer:
Step-by-step explanation:
Answer:
Rounding, we get 11.5 percent
Step-by-step explanation:
To find the percent of discount, we take the original price, subtract the new price, and divide by the original price. Then multiply by 100 for the percent.
percent discount = (original - new)/ original * 100
percent discount = (36.30-32.12) /36.30 * 100
percent discount = (4.18) /36.30 * 100
percent discount = .115151515 * 100
percent discount = 11.51515 percent
Rounding, we get 11.5 percent
A cheetah can run 224 miles in 3 1/2 hours how many miles per hour can the cheetah run?
HELP ASAP! WILL MARK
A paper company produces 3,320 notebooks in 4 days. How many notebooks can it produce in 12 days?
A.
9,906
B.
1,992
C.
9,960
D.
3,139
Answer:
C. 9960
Step-by-step explanation:
Harley is riding her bicycle 10.8 miles from her house to work. If she rides at a speed of 15 miles per hour, how long will it take Harley to arrive at work?
Answer:
Step-by-step explanation:You can first divide 15 by 5, which equals 3.Then multiply that by 10.8.which gives 32.4. Then divide by 5 which would give you 2.16. Hopefully it helps?!
Also if it is right,Please make me brainliest!!!!!!!!!!!!!!!!!!!
Answer:
43.2 minutes PLEASE GIVE BRAINLIEST
Step-by-step explanation:
10.8 ÷ 15 = .72 (72%)
Now find what 72% of an hour is:
60 x .72 = 43.2
43.2 minutes
what is the value of the 3 in parenthases [3]45,423,912
Answer:
300,000,000
Step-by-step explanation:
change everything after the 3 to a zero, hope this is the answer you are looking for
in a race there are 15 Runners the trophies for the race are awarded to the races finish and 1st through 3rd place and how many ways can first through third place be determined
Answer:
There are 2,730 ways that 1st, 2nd and 3rd place can be determined in the race
Step-by-step explanation:
There are 15 (number of runners) possibilities to determine the 1st place
There are 14 possibilities (number of runners - 1) to determine the 2nd place
There are 13 possibilities (number of runners - 2) to determine the 3rd place
Number of ways that 1st, 2nd and 3rd place can be determined = 15 * 14 * 13
Number of ways that 1st, 2nd and 3rd place can be determined = 2,730
If ABE is similar to ACD what is the value of AB
AB corresponds to AC. Both are the left diagonal lines of triangle ABE and triangle ACD. Both AB and AC are also the first two letters of ABE and ACD respectively
BE and CD correspond as well. They are the horizontal sides of the two triangles. BE and CD are the last two letters of ABE and ACD.
Set up the proportion below. Then solve for x
AB/AC = BE/CD
AB/(AB+BC) = BE/CD
x/(x+3) = 2/5
5x = 2(x+3)
5x = 2x+6
5x-2x = 6
3x = 6
x = 2
Answer: AB = 2
note how AB = x = 2, so AC = AB+BC = x+3 = 2+3 = 5. This forms the ratio AB/AC = 2/5 which is identical to the ratio BE/CD = 2/5
To find the value of AB in the similar triangles ABE and ACD, use the ratio of the corresponding sides.
Explanation:Given that ∆ABE is similar to ∆ACD, we can write the ratio of the corresponding sides: AB/AC = AE/AD = BE/CD. Note that corresponding sides of similar triangles are proportional. Therefore, the value of AB can be determined by the ratio AB/AC.
For example, if the length of AC is 10 units and the ratio AB/AC is 3/5, we can find the length of AB by multiplying 10 by 3/5: AB = (3/5) * AC = (3/5) * 10 = 6 units.
So, the value of AB depends on the specific information given about the ratios of the sides of ∆ABE and ∆ACD.
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Please help!!!!
What does it mean to say that a number is a perfect square? Give one example of a number that is a perfect square and one that is not. Explain your examples.
What dose it mean to say that a number is a perfect square? Give one exampel of a number that is a perfect square and one that is not.
Be sure to include the following:
Define the term perfect square
Provide examples and explain why each is or is not a perfect square
Write a translation rule that maps point (7, –3) onto point (2, 5).
Harriet needs to ship a small vase. The box she will use has a volume of 216 cubic inches. If the side lengths are all the same, what is the length of each side of the box?
Using the numbers 5, 8, and 24, create a problem using no more than four operations (addition, subtraction, multiplication, division, square, square root, cube, cube root) where the solution will be an irrational number. Explain why the result of your operations is an irrational number.
Answer:
a perfect square is when a number is multiplied by itself. For example, 4*4=16.
16 is the perfect square
something like 20 would not be a perfect square because it is 5*4 and they are not the same number.
Step-by-step explanation:
Answer:
The product of a rational number multiplied by itself.
Step-by-step explanation:
9² = 9×9 which equals 81. 81 is the perfect square of 9 which can also be said that 9 is the square root of 81 or √81
The percent of tom's budget he spends on different types of expenses is shown in the circle graph above.tom's total monthly budget us $2,500.how much does he spend on groceries?
rent is 30 percent
other is 15 percent
groceries is 25 percent
savings is 30 percent
(use proportions)
Answer:
Groceries is 625 a month
Step-by-step explanation:
25 percent of 2500 is 625. To get this answer take the percent and go back 2 decimal places this will turn 25% into 0.25 then multiply 2500 by 0.25 and the answer is 625. This also is the same with the other values. 0.30 0.15 etc.
Answer:
Groceries is 625 a month.(A lot of food for a single)
Step-by-step explanation:
Is it possible to trisect any angle using only a compass and a straight edge
Hello from MrBillDoesMath!
Answer:
No. That problem cited is one of 3 great unsolved problems of antiquity. See https://en.wikipedia.org/wiki/Angle_trisection for details.
Regards,
MrB
P.S. I'll be on vacation from Friday, Dec 22 to Jan 2, 2019. Have a Great New Year!
Answer:
NO , an angle is not trisected using only a compass and a straight edge.
Step-by-step explanation:
We are given two tools a compass and a straight edge
We need to tell if an angle is trisected using them or not.
Answer is NO , an angle is not trisected using only a compass and a straight edge.
When we draw a semicircle by point pointer of compass at vertex of angle and then draw a line using points we get when semicircle intersects the arms of the angle. We get angle Bisection.
We again try to bisect we get four equal angles not Three.
So It is impossible to make odd numbers of equal angles from a given angle using a compass and a straight edge.
Find the common denominator by multiplying each fraction by the other fraction's denominator. Choose < or > for the blank.
3/5
[_]
3/8
What is the range of the relation
(-4,1),(-2,0),(8,-1)
Answer:
Range of the relation is, {1 , 0, -1}
Step-by-step explanation:
Given: Relation R = {(-4, 1), (-2, 0) , (8, -1)}
To find the range of the relation R;
In the set of ordered pairs, the domain is the set of the first number in every pair, and the range is the set of the second number of all the pairs.
Then;
Domain of the relation: {-4, -2, 8}
Range of the relation is; {1 , 0, -1}
therefore, the range of the relation is, {1 , 0, -1}
The range of the given relation is {-1, 0, 1}
Explanation:The range of a relation refers to the set of all possible output values of the relation. In this case, the relation consists of three ordered pairs: (-4, 1), (-2, 0), and (8, -1). To find the range, we need to determine the set of all possible second values (y-values) in the ordered pairs. The range of the relation is {-1, 0, 1}.
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Place these from smallest to largest 4.5 -1 -3 -3.5 and 3
Answer:
4.5 3.5 3 -1 -3
Step-by-step explanation
the first number of the decimal is the whole number which means 4.5 and 3.5 are the 2 largest and for negative numbers. if the number is further away from zero that number is smaller.
For example
-15 is less that -1
this is so because the 15 is further away from the zero than the one
Write the first five terms of the geometri.c sequence in which a1 - 8 and the common ratio is 5/2.
Answer:
8 , 20, 50, 125, 625/2 option D
Step-by-step explanation:
Given that,
first term a₁ = 8
common ratio (r) = [tex]\frac{5}{2}[/tex]
We need to find the five terms of the geometric progression
We know that the nth term formula :
aₙ = a₁rⁿ-¹
where a₁ is first term and r is the common ratio
n is the number of terms
Second term (n=2)
a₂ = 8*[tex](\frac{5}{2} )^{2-1}[/tex] = [tex]\frac{8*5}{2}[/tex] = 20
Third term (n = 3)
a₃ = 8*[tex](\frac{5}{2} )^{3-1} = 8*(\frac{5}{2} )^{2} = (\frac{8*25}{4} ) = 50[/tex]
Forth term (n=4)
a₄ = [tex]8(\frac{5}{2} )^{4-1} = 8*(\frac{5}{2} )^{3} = (\frac{8*125}{8} ) = 125[/tex]
Fifth term (n=5)
a₅ = [tex]8(\frac{5}{2} )^{5-1} = 8*(\frac{5}{2} )^{4} = (\frac{8*625}{16} ) = \frac{625}{2}[/tex]
So, five terms are :
8 , 20, 50, 125, 625/2
Answer:
D right on edg 2020
Step-by-step explanation:
Draw an array to show how to arrange 20 chairs into 5 equal rows
PLEASE PLEASE HELP
Gwen pays the entry fee and buys 10 tickets. It costs her a total of $30.
Let x represent the entry fee and y represent the cost of each ticket in dollars.
Write an equation representing how much Gwen paid.
Answer:
(Y × 10) + X = 30
hope it helps
Step-by-step explanation:
Y = Cost of each ticket
X = cost of entry fee
so he bought 10 tickets
so you multiply cost of each ticket ( y ) by 10
then you add the entry fee ( x ) to find the total cost ( $30 )
is this right and if it's not could you please tell me the answer
Answer:
3x+ 5 = 6 . Correct.
Step-by-step explanation:
Let x = the number.
The number tripled: 3x
Tripled and increased by : 3x + 5
Equals 6: 3x+ 5 = 6
Correct.
Work out 2 3/5 x 3 1/3
Answer:
26/3 or if you want it simplified its 8 2/3 im not sure if you need it in decimals so i thought id write it anyway 8.666667
Step-by-step explanation:
1) Conversion a mixed number to a improper fraction
2) Conversion the other mixed number to a improper fraction
3) Multiply both numerators and denominators. Result fraction keep to lowest possible denominator
The value of [tex]2 \frac{3}{5} * 3 \frac{1}{3}[/tex] = 263 = 8 23 ≅ 8.6666667.
Improper fraction.Given:
[tex]2 \frac{3}{5} * 3 \frac{1}{3}[/tex]
1) Conversion of a mixed number to an improper fraction.
2) Conversion of the other mixed number to an improper fraction.
3) Multiply both numerators and denominators. The result fraction keeps to the lowest possible denominator.
Therefore, the value of [tex]2 \frac{3}{5} * 3 \frac{1}{3}[/tex] is 8.6666667.
To learn more about improper fraction
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How many 1 3/4 foot pieces of ribbon can be cut from a piece of ribbon that is 36 feet long?
Answer:
Approximately 20 complete pieces of 1 3/4 foot of ribbon can be obtained.
Step-by-step explanation:
You have a piece of ribbon 36 feet long that should be divided into pieces of 1 [tex]\frac{3}{4}[/tex] feet. In order to know the quantity of pieces of said measurement, the total length of the ribbon (36 feet) must then be divided by the desired measurement of each of the pieces (1 3/4 feet):
[tex]amount of pieces of ribbon=\frac{36}{1 \frac{3}{4} }[/tex]
1 [tex]\frac{3}{4}[/tex] is a mixed number. A mixed number or mixed fraction consists of a whole part (natural number) and a fractional part. All fractions greater than unity can be expressed as a mixed number.
To be able to make the division stated previously, it is convenient to pass the mixed number to an improper fraction (An improper fraction is a fraction in which the numerator is greater than or equal to the denominator). For this you multiply the denominator by the whole number. To the result, you must add the numerator. Then that number is placed over the original denominator. Expressed in general is:
[tex]a \frac{b}{c} =\frac{a*c+b}{c}[/tex]
In this case:
[tex]1 \frac{3}{4} =\frac{4*1+3}{4}=\frac{7}{4}[/tex]
Then the previously stated division is expressed as:
[tex]\frac{36}{\frac{7}{4} }[/tex]
One way to perform this division is to reverse the SECOND FRACTION, that is, change the denominator to the numerator and change the numerator to the denominator. Then, both numbers are multiplied.
[tex]\frac{36}{\frac{7}{4} } =36*\frac{4}{7}[/tex]
Given that 36 can be expressed as 36/1, the multiplication is done "online." That is, the numerator of the first fraction by the numerator of the second and the denominator of the first fraction by the denominator of the second.
[tex]\frac{36}{1} *\frac{4}{7} =\frac{36*4}{1*7} =\frac{144}{7}[/tex]
Now it will be passed from fraction to mixed number. For that, the numerator is divided by the denominator. The quotient of the division becomes the integer of the mixed number. The rest of the division is the numerator of the fraction. The denominator is the same as that of the fraction, being the divisor of the division.
When dividing 144 by 7 the quotient is 20, the remainder is 4 and the divisor is 7. Then the mixed number formed is [tex]20 \frac{4}{7}[/tex]
This indicates that approximately 20 complete pieces of 1 3/4 foot of ribbon can be obtained.
Answer
about 20 complete pieces can be cut
Step-by-step explanation:
which answer is equivalent to 25/36
Answer:
C. [tex]\sqrt{\frac{25}{36} }[/tex]
Step-by-step explanation:
This comes from the property of exponents which says for any numbers [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex],
[tex](a*b)^c=a^c*b^c[/tex]
Since square roots are just exponents of [tex]\frac{1}{2}[/tex] power ([tex]\sqrt{x} =x^\frac{1}{2}[/tex]), and [tex]\frac{1}{x} =x^{-1}[/tex], we have
[tex]\frac{\sqrt{25}}{\sqrt{36} }=25^{\frac{1}{2} }*36^{-\frac{1}{2} }=25^{\frac{1}{2} }*(36^{-1})^{\frac{1}{2} }=(25*(36^{-1})})^{\frac{1}{2}[/tex]
[tex]=\sqrt{25*36^{-1}} =\sqrt{\frac{25}{36} }[/tex]
Which is choice C.
Answer:
the guy is correct
Step-by-step explanation:
i got it right on apex
Write a function rule for the relationship. the amount c of energy you burn and the time t you spend exercising, if you burn Calories at a rate of 12 Cal/min
ct = 12
c = 12t
t = 12c
t= 12/c
Answer:
c= 12t
c is the amount of energy you burn, so it'll be the "solution" to the equation. Multiply 12 times the amount of time you spend exercising to find how much energy you'll burn.
Evaluate 5^-2
A. 1/25
B. -10
C. 1/10
D. -25
Answer:
Hello from MrBillDoesMath!
Answer:
Choice A. (1/25 )
Discussion:
The caret symbol, "^", denotes "exponentiation". So
5 ^-2 = (1/5)^2 = (1/5)* (1/5) = 1/25
Regards,
MrB
What is the slip of a line that is parallel to the line -3
Answer:
-3
Step-by-step explanation:
Parallel lines have slopes that are the same.
So if one line has a slope that is -3, any line that is parallel will have the same slope