The magnitude of an earthquake releasing 2.5 * 10¹⁵ Joules of energy is 7.33
What is an equation?
An equation is an expression that shows the relationship between two or more numbers and variables.
Given that:
M = (2/3) * log (E/E₀)
Where M is the magnitude, E is the amount of energy and E₀ = 10^4..4
For E = 2.5 * 10¹⁵:
M = (2/3) * log (2.5 * 10¹⁵/10^4.4)
M = 7.33
The magnitude of an earthquake releasing 2.5 * 10¹⁵ Joules of energy is 7.33
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
Would the horizontal translations shift the square root right or left? Sort each into the appropriate category.
f(x)=√x+0.8
f(x)=√x-4.7
f(x)=√x-25
f(x)=√x+6
f(x)=√x-11
Answer:
Step-by-step explanation:
Shift right
f(x)=√x-4.7
f(x)=√x-25
f(x)=√x-11
Shift left
f(x)=√x+0.8
f(x)=√x+6
What is S10 of the geometric sequence? Round to the nearest whole number.
8, 20, 50, 125, …
15,263
50,857
317,886
The sum of the ten terms to the nearest whole number is 50857.
How to find the sum of a geometric sequence?Using geometric sequence formula,
nth term = arⁿ⁻¹
where
a = first termr = common ration = number of termsr = 20 / 8 = 5 / 2
a = 8
Hence,
s₁₀ = a(rⁿ - 1) / r - 1
s₁₀ = 8((5 / 2)¹⁰ - 1) / 5 / 2 - 1
s₁₀ = 8(9535.74316406) / 1.5
s₁₀ = 50857.296875
s₁₀ = 50857
learn more on geometric sequence here:https://brainly.com/question/24707075
#SPJ1
Anna has 24 apples and 27 bananas. How many does she have all together?
Cuál es el número que no pertenece a esta sucesión 99 koma 105 koma 111 koma 117 koma 123 koma 129 koma 135 koma 141 koma 147 koma 153 Cuál es el número que no pertenece esta sucesión 99coma 105 koma 111 koma 117 koma 123 koma 129 koma 135 koma 141 koma 147 koma 153
Based on the calculations, all of the numbers belong to this arithmetic sequence.
How to calculate an arithmetic sequence?Mathematically, the nth term of an arithmetic sequence can be calculated by using this expression:
[tex]a_n = a_1 +(n-1)d[/tex]
Where:
d is the common difference.a₁ is the first term of an arithmetic sequence.n is the total number of terms.Next, we would determine the common difference as follows:
d = a₂ - a₁
d = 105 - 99 = 6.
d = a₃ - a₂
d = 111 - 105 = 6.
d = a₄ - a₃
d = 117 - 111 = 6.
Based on the calculations, all of the numbers belong to this arithmetic sequence.
Read more on arithmetic sequence here: brainly.com/question/12630565
#SPJ1
Complete Question:
What is the number that does not belong to this sequence 99, 105, 111, 117, 123, 129, 135, 141, 147, 153
The radioactive element carbon-14 has a half-life of 5750 years. A scientist determined that the bones from a mastodon had lost 57.5% of their carbon-14. How old were the bones at the time they were discovered?
Therefore, the bones were 6612.5 years old at the time they were discovered.
Half lifeGiven that the radioactive element carbon-14 has a half-life of 5750 years, and a scientist determined that the bones from a mastodon had lost 57.5% of their carbon-14, to determine how old were the bones at the time they were discovered, the following calculation must be made:
50 = 5750100 = 1150057.5 = X57.5 x 11500 / 100 = X6612.5 = XTherefore, the bones were 6612.5 years old at the time they were discovered.
Learn more about half life in https://brainly.com/question/24710827
#SPJ1
Answer:Therefore, the bones were 6612.5 years old at the time they were discovered.
Step-by-step explanation:
please help me! i’m really confused on this because i keep getting -5 outside the thing
Answer: D.
Step-by-step explanation: First you find the common factor, which is 5x³y. Then you write in parenthesis what's left over from each term. So the answer should look like: 5x³y(-3x⁵-4z+9).
Instructions: Find the volume of each figure. Round your answers to the nearest tenth, if necessary.
Volume: Answer, yd3
Answer:
The volume is
[tex]339.4 {yd}^{3} [/tex]
Step-by-step explanation:
The solution is in the image
Given f (x) = 4x + 3 – 2, what is f –1(x)?
f –1(x) = log4(x – 3) + 2
f –1(x) = log4(x + 3) – 2
f –1(x) = log4(x – 2) + 3
f –1(x) = log4(x + 2) – 3
The inverse function of f(x) = 4^(x + 3) -2 is f-1(x) = log₄(x + 2) - 3
How to determine the inverse function?The function is given as:
f(x) = 4^(x + 3) -2
Rewrite as:
y = 4^(x + 3) -2
Swap x and y
x = 4^(y + 3) -2
Add 2 to both sides
x + 2 = 4^(y + 3) -2 + 2
This gives
x + 2 = 4^(y + 3)
Take the logarithm of both sides
log(x + 2)= log(4)^(y + 3)
Apply the base rule of logarithm
log(x + 2)= (y + 3)log(4)
Divide both sides by log(4)
log(x + 2)/log(4) = y + 3
Apply the change of base rule of logarithm
log₄(x + 2) = y + 3
Subtract 3 from both sides
log₄(x + 2) - 3 = y + 3 - 3
Evaluate the difference
log₄(x + 2) - 3 = y
Rewrite as:
y = log₄(x + 2) - 3
Rewrite as:
f-1(x) = log₄(x + 2) - 3
Hence, the inverse function of f(x) = 4^(x + 3) -2 is f-1(x) = log₄(x + 2) - 3
Read more about inverse function at:
https://brainly.com/question/2541698
#SPJ1
46.Find the quotient and remainder
Answer:
30624; 1514,6; a1,6.
Please Help! Multiple Choice!
Using the z-distribution, the p-value would be given as follows:
b) 0.0086.
What are the hypothesis tested?At the null hypothesis we test if the means are equal, hence:
[tex]H_0: \mu_D - \mu_C = 0[/tex]
At the alternative hypothesis, it is tested if they are different, hence:
[tex]H_1: \mu_D - \mu_C \neq 0[/tex]
What are the mean and the standard error for the distribution of differences?For each sample, they are given as follows:
[tex]\mu_D = 12, s_D = \frac{5.2}{\sqrt{73}} = 0.6086[/tex][tex]\mu_C = 14, s_C = \frac{4.1}{\sqrt{81}} = 0.4556[/tex]Hence, for the distribution of differences, they are given by:
[tex]\overline{x} = 12 - 14 = -2[/tex].[tex]s = \sqrt{0.6086^2 + 0.4556^2} = 0.76[/tex]What is the test statistic?The test statistic is given by:
[tex]z = \frac{\overline{x} - \mu}{s}[/tex]
In which [tex]\mu = 0[/tex] is the value tested at the null hypothesis.
Hence:
[tex]z = \frac{\overline{x} - \mu}{s}[/tex]
[tex]z = \frac{-2 - 0}{0.76}[/tex]
z = -2.63.
Using a z-distribution calculator, for a two-tailed test, with z = -2.63, the p-value is of 0.0086.
Hence option B is correct.
More can be learned about the z-distribution at brainly.com/question/13873630
#SPJ1
i don’t understand!!!
In other words, 12 goes in the top box and 13 goes in the bottom. The fraction slash sign is not part of either box.
===========================================================
Explanation:
Cosine is the ratio of adjacent over hypotenuse.
cos(angle) = adjacent/hypotenuse
For the reference angle X, the adjacent leg is 36 units long. It's the leg closest or touching angle X.
The hypotenuse is always the longest side. It is always opposite the 90 degree angle. The hypotenuse in this case is 39 units.
Therefore,
cos(X) = 36/39 = (12*3)/(13*3) = 12/13
what’s the equation of this line?
Answer:
Step-by-step explanation:
Hello : let A(0,-6) B(8,-8)
the slope is : (YB - YA)/(XB -XA)
(-8+6)/(8-0) = -2/8=-1/4
an equation is : y=ax+b a is a slope
y = (-1/4)x +b
the line through point A (0;-6) : -6 = (-1/4)(0)+b
b = -6 the equation is : y =(-1/)4x-6
solve the equation. y/8 = 5
y=?
Answer:
y = 40
Step-by-step explanation:
y/8 = 5
———————————————————
Multiply both sides by 8:
8y/8 = 5 * 8
———————————————————
Simplify:
y = 40
Hope that helps! :)
Answer:
Y = 40
Step-by-step explanation:
Step 1:
y/8 = 5
Bring 8 to the right side changing its arithmetic sign to multiply.
Step 2:
y = 5 x 8
Now multiply 5 by 8 to get the answer.
Step 3:
y = 40
Therefore, y is equal to 40.
Suppose that, for a certain mathematics class, the scores are normally distributed with a mean of 75 and a standard deviation of 9. The teacher wishes to give A's to the top 7% of the students and F's to the bottom 7%. The next 17% in either direction will be given B's and D's, with the other students receiving C's. Find the bottom cutoff for receiving an A grade. (You may need to use the standard normal distribution table. Round your answer to the nearest whole number.)
The bottom cutoff for receiving an A grade is 88.
What is the bottom cutoff for receiving an A grade?The bottom cutoff for receiving an A grade is found as follows:
The mean of the distribution = 75
The standard deviation = 9
The z-score for the 93% = 1.476
The score for an A grade, x = mean + z-score * standard deviation
Score for an A grade, x = 75 + 1.476 * 9
Score for an A grade, x = 88
In conclusion, the minimum score for an A grade is obtained from the mean, the z-score and the standard deviation.
Learn more about normal distribution at: https://brainly.com/question/4079902
#SPJ1
Estimate the difference of the decimals below by rounding to the nearest
whole number.
61.621
7.173
Answer:
55
Step-by-step explanation:
61.621 rounded to the nearest whole number is 62. We know this by looking at the whole number "61" and rounding its last digit by the digit to the right of it, depending if its <5 or >5. In this case, the right ones digit is "6", being greater than 5 means we can round 61.621 to 62.
The same applies to 7.173, given that "1" is less than 5, we don't round down (because we are rounding up), instead we replace remaining digits with 0, leaving us with 7.
To find the difference means to subtract;
62-7 = 55.
Let f(x)=4x-1 and g(x)=2x^2+3
(f+g)(x)
Step-by-step explanation:
(f+g)(x)=4x-1+2x²+3===> 2x²+4x+2
A summer camp needed
1,148 popsicles. Boxes of
popsicles were sold with
8 in each. How many
boxes did they have to
buy to have enough
popsicles? How many
were left over?
Answer:
144 boxes, 4 popsicles left over
Step-by-step explanation:
# of boxes and the remainder: 1148/8 = 143 boxes 4 popsicles left over
Since they need to buy full boxes we add 1 to 143 = 144 boxes
A full box is 8 and they only need 4 more so they have 4 left over.
In ΔOPQ, m∠O = 107° and m∠P = 28°. Which statement about the sides of ΔOPQ must be true?
QO > OP > PQ.
QO > PQ > OP.
PQ > OP > QO.
OP > QO > PQ.
PQ > QO > OP.
OP > PQ > QO.
Answer:
QO < OP < QP
Step-by-step explanation:
The third angle, angle Q, must measure 45° since angles in a triangle add to 180°.
So, OQ < OP < QP.
Answer:
PQ>OP>QO
Greater than symbol goes from largest to smallest
If you horizontally stretch the quadratic parent function, f(x) = x², by a factor
of 5, what is the equation of the new function?
A. g(x) = (5x)2
B.
B. g(x) = (x)²
C. g(x) = 5x²
OD. g(x)=x²2
Answer: [tex]g(x)=\left(\frac{x}{5} \right)^2[/tex]
Step-by-step explanation:
See attached image.
Evaluate 4s^2 for s = 1/4. Type a numerical answer in the space provided. If necessary, use the / key to represent a fraction bar. Do not type spaces in your answer.
Answer:
1/4
Step-by-step explanation:
Given [tex]\displaystyle{s=\dfrac{1}{4}}[/tex] and we have to evaluate [tex]\displaystyle{4s^2}[/tex]. We can do by substituting the given value s = 1/4 in 4s² term:
[tex]\displaystyle{4\cdot \left(\dfrac{1}{4}\right)^2}\\\\\displaystyle{4\cdot \dfrac{1}{16}}\\\\\displaystyle{\dfrac{1}{4}}[/tex]
Therefore the value is 1/4
Given triangle ABC, which equation could be used to find the measure of angle C?
Please HELPP ONLY A FEW MINUTES TO TURN IN
Okay, it's very simple, to solve this triangle you need to understand what the other angles are. We know that angle A is 90º, as it is represented as a square.
We now need to solve for angle B. angle B can be solved for by
Sin (x) = Opposite / Hypotenuse = 3 / 3√5 = 2.24ish
sin(x) = 2.24
x = [tex]sin^{-1}[/tex](2.24)
Use sin.
Answer:
Step-by-step explanation:
what's the answer
Triangle L N M is shown. Angle L N M is 90 degrees and angle N M L is 20 degrees. The length of L N is 21.
Use the diagram to complete the statements.
The measure of angle L is
°.
The trigonometric ratio that uses ∠M and LN to solve for NM is
.
The length of NM, to the nearest tenth, is approximately
.
Angle L: 70°
The trigonometric ratio used to solve for NM is the tangent ratio.
NM = 57.7 [nearest tenth]
How to Apply the Trigonometric Ratios?Using the triangle sum theorem, find angle L.
Angle L = 180 - 90 - 20 = 70°
Using the tangent ratio, we can use ∠M and LN to solve for NM
Tan 20 = 21/NM [tan ∅ = opposite/adjacent]
NM = 21/tan 20
NM = 57.7 [nearest tenth]
Learn more about the trigonometric ratio on:
https://brainly.com/question/10417664
#SPJ1
Answer:
70, tangent, 57.7
Step-by-step explanation:
Hello there I need help with this question pls help me I'll mark it as a brain list and give extra 50 points if you answer with an explanation and it MUST be correct
Answer:
iTS 6 2/3 OPTION 2.
Step-by-step explanation:
Because Area = L*B
SO L = A/b
L= 65/3 * 4/13(reciprocal and multiply)
L=20/3 = 6 2/3
Answer:
So answer is 6 2/3
because Look carefully
Area =length× width
length=Area÷ width
so
[tex]21 \frac{2}{3} \div 3 \frac{1}{4} = 6 \frac{2}{3} [/tex]
za = a + b/m, solve for a
Answer: [tex]a=\frac{b}{zm-1}[/tex]
Step-by-step explanation:
Let's first multiply both sides by m to get rid of the denominator.
[tex]za=\frac{a+b}{m}\\zam=a+b[/tex]
Now, we have an a on both sides of the equation. It will be easier to solve if there is only one, so let's divide both sides by a.
[tex]\frac{zam}{a}=\frac{a+b}{a}\\zm=\frac{a}{a}+\frac{b}{a}\\zm=1+\frac{b}{a}[/tex]
The 1 on the right can be moved to the left to isolate the fraction.
[tex]zm-1=\frac{b}{a}[/tex]
We want to get a by itself, so let's multiply it on both sides to remove it from the denominator.
[tex]a(zm-1)=b[/tex]
Finally, we can divide zm-1 from both sides to get a by itself.
[tex]a=\frac{b}{zm-1}[/tex]
Write in standard form: x² - 10x + y² - 4y = -28
Answer:
(x - 5) ^2 + (y -2)^2 = 1
Step-by-step explanation:
This is for a circle.
We need to complete the square
(x^2 -10x ) + ( y^2 -4y ) = -28
(x^2 - 10x +25) + (y^2 - 4y 2y) = -28 + 25 + 4
(x-5)^2 + (y-2)^2 = 1
The center of this circle would be (5,2) with a radius of 1.
answer me please as soon as possible plot the graph same as shown in the question using green orange and black colors
Due to length restrictions, we kindly invite to read the explanation of this question for further details about the table and graph of the function.
How to plot the graph of a function
In this problem we must plot the graph of a function on a Cartesian plane. The procedure is summarized below:
Create a table for a series of equally spaced x-values.Calculate the y-values for corresponding values and fill the table.Mark the points on the Cartesian plane.Match the points with line segments.After following the procedure, we have the following result:
Input, x x + 4 Output, y (x, y)
- 2 - 2 + 4 2 (- 2, 2)
0 0 + 4 4 (0, 4)
2 2 + 4 6 (2, 6)
4 4 + 4 8 (4, 8)
6 6 + 4 10 (6, 10)
8 8 + 4 12 (8, 12)
Lastly, we plot the graph of the linear function.
To learn more on functions: https://brainly.com/question/12431044
#SPJ1
Can u guys please give me the correct answer
Angles on straight line = 180
180 - 115 = 65
So, angle above 4 in the top corner is 65.
Co-interior angles add up to 180.
(180-65=115)
Thus, the value of 4 is 115 degrees.
Hope this helps!
A vacant lot is being converted into a community garden. The garden and the walkway around its perimeter have an area of 572 ft. Find the width of the walkway, (x in the diagram below), if the garden is 14 ft. wide by 18 ft. long. Factoring or the quadratic equation formula can be used. a) 5) Solve for the specified variable A = 1/(a+b)h for a 6) Solve for x 14 feet x+10_I 33 Jeet b) A=1/(a+b)h for a
Translate this phrase into an algebraic expression.
64 decreased by twice Matt's savings
Use the variable m to represent Matt's savings.
10
64 decrease by twice the number then the algebraic expression be
64 - 2m.
What is algebraic expression?The algebraic expression exists acquired by a finite number of the fundamental functions of algebra upon characters expressing numbers. Algebraic expressions contain at least one variable and at least one operation (addition, subtraction, multiplication, division).
From the given information, we get
Let, Matt's savings be denoted by the variable m.
Twice the number be 2m.
64 decrease by twice the digit then the algebraic expression be 64-2w.
To learn more about algebraic expression refer to:
https://brainly.com/question/2437313
#SPJ9
What is the card balance
Answer:
A card balance is the total amount of money that you currently owe on your credit card. The balance increases when purchases are made and decreases when payments are made. Purchases, balance transfers, foreign exchange, fees, and interest all factor into your credit card balance.
please brainlest and like