Solving a logarithmic equation, it is found that the San Francisco earthquake was 24.71 times more intense than the Columbian earthquake.
How to find the ratios of the intensity of earthquakes?As given in the problem, the intensities of the earthquakes are given by logarithms of base 10. Then, supposing that the intensities are R1 and R2, with R1 greater than R2, the ratio of the intensities, that is, how much intense R1 is than R2, is given as follows:
[tex]r = 10^{\frac{R_1}{R_2}}[/tex]
For this problem, the intensities are given as follows:
San Francisco: R1 = 7.8.Columbia: R2 = 5.6.Then, the ratio of the intensities is given as follows:
[tex]r = 10^{\frac{7.8}{5.6}} = 24.71[/tex]
The San Francisco earthquake was 24.71 times more intense than the Columbian earthquake.
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2.
Determine how much this home would cost to replace: 2,600 square feet at $95.00 per square foot
Answer: $
___
Answer:2,695
Step-by-step explanation: just add.
Identify the equation that describes the line in slope-intercept form slope = 3/4 point (2, 2) is on the line
Answer:
y = (3/4)x + 1/2
Step-by-step explanation:
the slope-intercept form is in general
y = ax + b
with a being the slope, and b the y-intercept (the y-value when x = 0).
because we got the slope and a point we can start with the point-slope form and then transform the equation.
the point-slope form is in general
y - y1 = a(x - x1)
a is again the slope (the same value), and (x1, y1) is a point on the line.
so,
y - 2 = 3/4 × (x - 2) = (3/4)x - 3/2
y = (3/4)x - 3/2 + 2 = (3/4)x - 3/2 + 4/2 = (3/4)x + 1/2
Evaluate the expressions. 32) 12+ 32÷3-6
Answer:
16.66666667
Step-by-step explanation:
=12+10.66666667-6
=22.66666667-6
=16.66666667
Which expression is equivalent to the given expression?
Assume the denominator does not equal zero.
a^3b^5 / a^4b
A. b^4 / a
B. a / b^4
C. 1 / ab^4
D. ab^4
The expression which is equivalent to the given expression by means of evaluation using the laws of indices is; Choice A; b⁴/a.
Which of the answer choice represents an expression which is equivalent to the given expression?The given expression according to the task content is; a³b⁵/a⁴b.
It therefore follows from the laws of indices that each variable can be evaluated by means of their exponents as follows;
a^(3-4)b^(5-1)
Consequently we have;
b⁴/a.
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20 POINTS & BRAINLIEST TO WHO EVER SOLVE
Answer:
PQ = 20 cm
QR = 15 cm
Step-by-step explanation:
Quick algebra 1 assignment for some points!
I LOST MY OLD ACCOUNT I WAS A GENIUS, :((( SO NOW I GOTTA MAKE A NEW ONE !!! :((
Only answer if you know the answer, quick shout-out to Yeony2202, tysm for the help!
Oh by the way this is just a section of the real assignment, the assignment calls for you to make an app that people can play to learn inverse variation & direct variation and stuff.
Hope that helps solve this! :)
Inverse variation is the relationship that occurs between two quantities in which one decreases as the other increases.
Inverse variationThe types of variation which exists are;
Inverse variationDirect variationJoint variationFor instance;
The relationship between John's speed and distance is inversely proportional. If John's speed is 5km/h, his distance is 6km. Find John's distance when his speed increases to 6km/h.
s = k / d
where,
k = constant of proportionality
s = k / d
5 = k/6
30 = k
Find d when s = 6km/hs = k / d
6 = 30/d
6d = 30
d = 30/6
d = 5 km
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Mary's tube of red paint is five sevenths full and her blue paint is four sevenths full. How much red and blue paint does Mary have in total? Use the benchmark fraction one half, 1, and 0 to help you estimate each answer before you solve.
one seventh tube
seven ninths tube
one and two sevenths tubes
one and one seventh tubes PLEASE HELP! (Ill give brainnliest!!)
By adding fractions, we conclude that the correct option is the third one:
"one and two sevenths tubes"
How much red and blue paint does Mary have in total?We know that:
She has 5/7 of the red paint tube.She has 4/7 of the blue paint tube.The total amount of paint will be given by the direct addition of these two fractions, notice that the denominator is the same in both cases, so we can just add the numerators.
5/7 + 4/7 = (5 + 4)/7 = 9/7
We can rewrite this as:
9/7 = 7/7 + 2/7 = 1 + 2/7
Thus, the correct option is the third one
"one and two sevenths tubes"
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WILL MARK U BRAINLIEST
Answer:
90
Step-by-step explanation:
First, we should find the area of the trapezoid, and then subtract the area of the removed triangle in order to find the shaded area.
Area of the trapezoid
1) Area of the rectangle in the middle.
Base Length: 10
Height Length: 10
Area: 10 x 10 = 100
2. Area of the triangles on the side
Base Length: (14 - 10)/2 = 2
Height Length: 10
Area: 2 x 10 x 1/2 = 10
There are two triangles: 10 x 2 = 20
Area of the trapazoid: 100 + 20 = 120
Area of the triangle that's been removed
Base Length: 10
Height Length: 10 - 4 = 6
Area: 10 x 6 x 1/2 = 30
Shaded area
Area of the trapezoid - Area of the triangle
120 - 30 = 90
Area of the shaded region is 90.
Simplify (64/125)-2/3 + (256/625)-1/4 + (7/3)
Step-by-step explanation:
part 1: 64/125 - 2/3
make the denominator ( bottom number) the same
x/125 and x/3
125×3 and 3×125
x/375 and x/375
whatever we do to the denominator we have to do to the numerator ( top number)
64/125
125 × 3
so
64 ×3
=64×3/125×3
=192/375
2/3
3 × 125
so
2 × 125
=2×125/3×125
=250/375
put together:
192/375 - 250/375
denominator is the same so we can simply take 192 from 250
192 - 250 = -58
= -58/375
part 2: + (256/625)-1/4
-58/375 + (256/625)-1/4
do the same for (256/625)-1/4 as in part 1
then add it to -58/375 by making the denominator the same
part 3: + (7/3)
make the denominator the same and add
part 4: simplify
divide a number from both the top and bottom till there is nothing you can divide from both
The volume of a pyramid that fits exactly inside a cube is 18 cubic feet. what is the volume of the cube? 6 cubic feet 18 cubic feet 54 cubic feet 72 cubic feet
The volume of the cube that perfectly fits an 18 ft³ pyramid is calculated as (C) 54 ft³.
What is a cube?A cube is a three-dimensional solid object with six square faces, facets, or sides, three of which meet at each vertex. The cube is one of the five Platonic solids and the only regular hexahedron. It has six faces, twelve edges, and eight vertices.To find the volume of the cube that perfectly fits an 18 ft³ pyramid:
We have been provided that:
18 cubic feet is the volume of the pyramid.Now, in order for this pyramid to fit exactly into a cube, the base of the pyramid must be square, and the height of the pyramid must be equal to the height of the cube.We can conclude from this that the volume of a cube equals three times the volume of a pyramid.So, the volume of the cube = 3 × 18The volume of Cube = 54 ft³Therefore, the volume of the cube that perfectly fits an 18 ft³ pyramid is calculated as (C) 54 ft³.
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The correct question is given below:
The volume of a pyramid that fits exactly inside a cube is 18 cubic feet. what is the volume of the cube?
(A) 6 cubic feet
(B) 18 cubic feet
(C) 54 cubic feet
(D) 72 cubic feet
Which function displays this end behavior
- As x approaches negative infinity, y approaches positive infinity.
- As x approaches positive infinity, y approaches negative infinity.
Step-by-step explanation:
Since you haven't provided any functions, I can answer this question generally as to what the function would look like.
So when a polynomial has an even degree, then the two end behaviors will go in the same direction, and when it has an odd degree, then the two end behaviors will be in opposite directions. When a polynomial has a positive leading coefficient the right side will go towards infinity, and if a polynomial has a negative leading coefficient the right side will go towards negative infinity.
So let's look at the information:
As x approaches negative infinity, y approaches positive infinity.
Just given this we can't really say anything about the polynomial since we have to relate this to the right end behavior, or as x approaches infinity, so let's look at that.
As x approaches positive infinity, y approaches negative infinity.
This means that as x increases, y decreases, so that means the leading coefficient is negative. Since we know both end behaviors, and they're opposite (one y-value goes to negative infinity, and the other positive infinity), that means the polynomial is an odd degree.
So this means the polynomial will look something like this:
[tex]ax^n+bx^{n-1}+cx^{n-2}...[/tex]
where the leading coefficient "a" is negative and the degree of the polynomial (degree of leading coefficient) will be odd.
Answer:A
Step-by-step explanation:
edge 2023
Consider the interval [2, 3) = {x € r : 2 <= x < 3}. Find the complement of this interval where the universal set is taken to be r, the set of real numbers.
The complement of the interval [2, 3) is ( -∞, 2) ∪ (3, ∞).
According to the given question.
We have an interval [2, 3).
Let A = [2, 3)
Which is defined as
[2, 3) = {x ∈ r : 2 ≤ x < 3}
This means that the interval [2, 3) contains all the real numbers which are greater and equal to 2 and less than 3.
And, here it is also given that the universal set is r ( set of real numbers).
As we know that " the complement of an interval is a set A of real numbers that conatins all the elements of universal set U except the number that lying between the given two numbers in the inerval" i.e.
[tex]A^{c} = U - A[/tex]
Where,
[tex]A^{c}[/tex] is the complement of interval A
Thereofre, the complement of the given interval [2, 3) will be all the elements of universal set i.e real numbers except 2 and the real numbers which lies in between 2 and 3.
So, we can say that
[tex]A^{c} = (-\infty, 2) \cup(3, \infty)[/tex]
Where, [tex]A^{c}[/tex] is the complement of the interval A.
Hence, the complement of the interval [2, 3) is ( -∞, 2) ∪ (3, ∞).
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Write the following in interval notation
x < 8
Answer:
Yup Yup
Step-by-step explanation:
yessah
Inequalities help us to compare two unequal expressions. The given inequality x<8 can be written in the interval notation as x=(-∞,8).
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
Continuous sets of real numbers can be represented using interval notation by the numbers that bound them. When written, intervals resemble ordered pairs in several ways. They do not, however, intend to indicate any particular location. Instead, they serve as a concise approach to expressing an inequality or a set of inequalities.
The given inequality x<8 can be written in the interval notation as,
x = (-∞,8)
Hence, The given inequality x<8 can be written in the interval notation as x=(-∞,8).
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using graphing, what is the approximate solution of this equation?
3x[tex]3xx^{2} -6x-4=\frac{2}{x+3}+1[/tex]
Answer:
D. x ≈ 2.60
Step-by-step explanation:
The equation we have graphed is the one shown in the attachment. It is slightly different from the one in this problem statement.
Graphical solutionIt is often convenient to find a graphical solution to an equation by writing it in the form ...
f(x) = 0
Then the solutions are the x-intercepts of the graph, points that most graphing calculators can readily identify.
We have done this here by defining ...
[tex]y_1=3x^2-6x-4\\\\y_2=-\dfrac{2}{x+3}+1[/tex]
The graph is of y₁ -y₂. X-values where y₁-y₂ = 0 are solutions to the original equation, y₁ = y₂.
This equation is seen to have three solutions, approximately ...
x = {-3.05, -0.55, 2.60}
Of these, only x ≈ 2.60 is listed among the answer choices.
__
Additional comment
The value of y₁ -y₂ expressed in standard form is ...
[tex]3x^2-6x-4+\dfrac{2}{x+3}-1=0\\\\\dfrac{(x+3)(3x^2-6x-5)+2}{x+3}=0\\\\\dfrac{3x^3+3x^2-23x-13}{x+3}=0\\\\3x^3+3x^2-23x-13=0\quad(x\ne -3)[/tex]
The irrational solutions to this cubic can be found "exactly" by any of several applicable formulas. Numerical solutions are almost trivial to find with appropriate technology.
x ≈ {−3.04857564747, −0.547524627423, 2.5961002749}.
Answer:
see photo
Step-by-step explanation:
Plato/Edmentum
Jessica's dog weighed 91.5 pounds at the beginning of summer but lost 5.2
pounds by the end of summer. Which number sentence could be used to
determine the dog's weight at the end of the summer?
Answer:
91.5 - 5.2 = 86.3
Step-by-step explanation:
The initial weight was 91.5 pounds.
The dog lost 5.2 pounds which means subtraction.
91.5 pounds subtracted by 5.2 pounds that the dog lost equals 86.3 pounds.
A boat sails on a bearing of 63 for 124 miles and then turns and sails 201 miles on a bearing of 192. Find the distance of the boat from its starting point.
The distance of the boat from its starting point is 156.226 .
According to the question
A boat sails on a bearing of 63 degree for 124 miles
i.e
By making 63 degree covers 124 miles
therefore ,
In figure below
AC = 124 miles
Then turns and sails 201 miles on a bearing of 192 degree
therefore ,
In figure below
CD = 201 miles
Now,
According to the sum of triangle
∠ACB + ∠ABC + ∠BAC = 180°
∠ACB + 90° + 63° = 180°
∠ACB = 27°
CE = 180° (Straight line )
therefore,
∠DCE = 192° - 180°
= 12°
As ∠C = 90°
therefore
∠ACD = ∠C - ∠DCE - ∠ACB
= 90° - 12°- 27 °
= 51°
Now,
The distance of the boat from its starting point = AD
By using Law of Cosines
As
The Law of Cosines can be used to find the unknown parts of an oblique triangle(non-right triangle), such that either the lengths of two sides and the measure of the included angle is known (SAS) or the lengths of the three sides (SSS) are given.
The Law of Cosines (also called the Cosine Rule) says:
c² = a² + b² − 2ab cos(C)
As we have 2 sides and one angle available we can use Law of Cosines
Therefore,
by substituting the value
(AD)² = (AC)² + (CD)² − 2(AC)(CD) cos(∠ACD)
(AD)² = (124)² + (201)² − 2*124*201 cos(51)
AD = 156.226
Hence, the distance of the boat from its starting point is 156.226 .
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The function — is used to model the height of an object projected in the air, where h(t) is the height in meters and t is the time in seconds. What are the domain and range of the function h(t)? Round values to the nearest hundredth.
The answer choice which represents the domain and range of the function h(t) as given in the task content in which case, values are rounded to the nearest hundredth is; Domain: [0, 3.85] and Range: [0, 18.05].
What are the domain and range of the function as given in the task content?It follows from convention that the domain of a function simply refers to the set of all possible input values for that function.
Also, the range of a function is the set of all possible output values for such function.
On this note, by observing the graph in the attached image, it follows that the Domain of the function in discuss is; [0, 3.85].
While the range is the difference between the minimum and maximum height attained and can be computed as follows;
At minimum height, t = 0; hence, h(t) = 0.
At maximum height; h'(t) = 0 where h'(t) = h'(t)=-9.74t+18.75 and hence, t = 1.92.
Hence, h(1.92) = 18.05.
The range is therefore; [0, 18.05].
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How to solve this problem
x + 7 = -8
x + 7 = -8
(x + 7) - (7) = -8 - (7)
x = -8 - 7 = -15
The correct answer is -15
❄ Hi there,
let us first consider this: What should we do to get x all alone, on one side of the equation?
Since
7 is added to xwe should
subtract 7 from x (and from the other side too!)[tex]\ \sf{x=-8-7}[/tex]
[tex]\triangleright \ \sf{x=-15}[/tex]
That's it!
❄
Please helpp with my math hw I’ll give brainlest
Answer:
20 percent
40 percent
20 percent
20(.008) percent
Step-by-step explanation:
6) 54 - 45 = 9
45 / 9 = 5
100 / 5 = 20
20 percent
7) 60 - 36 = 24
60 / 24 = 2.5
100 / 2.5 = 40
40 percent
8) 30 - 24 = 6
30 / 6 = 5
100 / 5 = 20
20 percent
9) 24.99 - 19.99 = 5
24.99 / 5 = 4.998
100 / 4.998 approx. = 20.008
20.008 percent (or rounded 20 percent)
Due today please help!!
Trigonometry Question
- 5x - 5 = 3x + 19 what would X be?
-5x - 5 = 3x + 19
---Move the x's to one side
-5x - 3x - 5 = 3x - 3x + 19
-8x - 5 = 19
---Isolate the -8x by removing the -5 from the left side
-8x - 5 + 5 = 19 + 5
-8x = 24
---Divide both sides by -8 to get x by itself
x = -3
Hope this helps!
-5x-5= 3x+19
= > -5x-3x= 19+5
= > -8x= 24
= >-x=24/8
= >x= -3
HELP, i really need help with these for questions, I’ll give Brainliest to whoever answers first, random answers will be reports.
The angles and lengths of each of the given triangles are;
5) m∠B = 57.52°
6) B = 70.81°
7) AB = 55.43 Km
8) AC = 39.06 ft
How to use cosine rule?
The cosine rule is expressed as;
c = √[a² + b² - 2ab(cos C)]
5) Using cosine rule;
BC = √[21² + 13² - 2(21*13)(cos 91)]
BC = 24.89
Using sine rule, we can find angle B as;
21/sin m∠B = 24.89/sin 91
sin m∠B = (21 * sin 91)/24.89
sin m∠B = 0.8436
m∠B = sin⁻¹0.8436
m∠B = 57.52°
6) Using cosine rule;
14² = 11² + 13² - 2(11*13)(cos B)]
196 = 121 + 169 - 286(cos B)
cos B = (121 + 169 - 196)/286
cos B = 0.3287
B = cos⁻¹0.3287
B = 70.81°
7) Using cosine rule;
AB = √[24² + 36² - 2(24*36)(cos 134)]
AB = 55.43 Km
8) Using cosine rule;
AC = √[21² + 26² - 2(21*26)(cos 112)]
AC = 39.06 ft
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What is the sign of s^67/t^9 when s < 0 and t > 0?
possible answers:
. positive
. negative
. zero
Answer:
negative
Step-by-step explanation:
[tex]s^{67}<0 \\ \\ t^9>0 \\ \\ \implies \frac{s^{67}}{t^9}<0
[/tex]
Answer:
negativeStep-by-step explanation:
The sign of a product or quotient cannot be determined by the positive number (t), so we can ignore it. The sign of the expression will be negative if and only if there are an odd number of negative factors.
Here, there are 67 (an odd number) negative factors, so the expression will be negative.
What is the approximate radian measure
of an angle with a degree measure of
59.6°?
Answer:
The approximate radian measure of the angle. So we have 15 nine 0.6 degrees convert degrees to radiance. You have to multiply by pi over 1 80. So if we did that, that'd be 59.6 pi over 1 80. So if we want to know the approximate value, we're going to use the pi button on our calculator to figure out what 59.6 times pi is. That's approximately 187.2389, Divided by 1 80. So now I would divide that number by 180 and that gives me 1.04 radiance, 1.04 radiance is the answer.
Use the Ratio Test to determine whether the following series converges or diverges.
Answer:
Find the interval of convergence of the following series
Possible Answers:
(4,6)
[4,6)
(4,6)
[4,6]
Correct answer:
(4,6)
Explanation:
Step-by-step explanation:
Find the interval of convergence of the following series
Possible Answers:
(4,6)
[4,6)
(4,6)
[4,6]
Correct answer:
(4,6)
Explanation:
G
Which point is located at (-3.5,-4.5)?
543
J
♦K
R
to
point A
S
(21
te
3
21
..
-3
-5
2 3
#
157
Xb
Answer:
Point A
Step-by-step explanation:
See attached worksheet.
A weeping willow that is
15
1515 feet in height grows to a maximum height of
35
3535 feet in
y
yy years at a constant rate of
24
2424 inches per year. Which of the following equations best describes this situation?
The equation 35 = 15-24y represent the growth rate.
According to the statement
we have given that the
A weeping willow that is 15 feet in height grows to a maximum height of 35 feet in y years at a constant rate of 24 inches per year.
And we have to describe all conditions in the equation.
So,
firstly the given height of weeping pillow before growing is 15 feet.
It means the maximum real height it grows is to subtract from the maximum given height it grows.
it means we have to find the growth rate.
real height he grows is = 35-15 = 20 feet
And it grows at the 24 inches per year so, it means it become
24 y
By combining these we get the equations is
35 = 15-24y.
So, The equation 35 = 15-24y represent the growth rate.
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Disclaimer: This question was incomplete. Please find the full content below.
Question:
A weeping willow that is 15 feet in height grows to a maximum height of
35 feet in y years at a constant rate of 24 inches per year. Which of the following equations best describes this situation?
A. 37 = 15-24y
B. 35 = 15-24y
C. 35 = 15-22y
D. 39 = 15-27y
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Answer: 35= 15+2y
Step-by-step explanation:
I am taking the Khan Academy Lesson.
If these two shapes are similar, what is the measure of the missing length w 20 in 15 in 12 in
Answer:
Step-by-step explanation:
Help me please!!!!!!!!
Answer:
A ≈ 75 in²
Step-by-step explanation:
the area (A) of the circle is calculated as
A = πr² ( r is the radius )
here r = 5 and using 3 for π , then
A = 3 × 5² = 3 × 25 = 75 in²
Answer:
75 in^2
Step-by-step explanation:
Since the formula to find the area of a circle is already up, we can use that to solve the question.
The image gave us the value of the radius right away, so the question will be a lot easier to solve.
--> The reason why the radius is needed is that the 'r' in the formula means radius. We need the value of the radius to find the area of the circle.
Now, we can just replace r with 5.
--> A = 25 [tex]\pi[/tex]
Since the question told us to replace [tex]\pi[/tex] with 3, we can do that.
--> A = 25 x 3
--> A = 75
We can conclude that the area of the circle is 75 in^2.