In each of Problems 13 through 16, find the inverse Laplace transform of the given function. 13. F(s)=(s−2)43! 14. F(s)=s2+s−2e−2s 15. F(s)=s2−2s+22(s−1)e−2s 16. F(s)=se−s+e−2s−e−3s−e−4s
Answers
The inverse Laplace transform of the given function f(t) are (1/6)t^3 - 1/30, t^2 + t - 3e^(-2t), t(e^t - te^t) + 2u(t-2)e^(t-2), (1/4)*[1 - e^(t-2) - 2e^(t-3) + 3e^(t-4)]*u(t-4) and e^(-t) + e^(-2t) - e^(-3t) - e^(-4t).
Using the formula for the inverse Laplace transform of a constant multiple of a function, we can see that
L⁻¹[(s-2)/(4!)] = L⁻¹[s/(4!)] - 2L⁻¹[1/(4!)]
= 1/3! * t^3 - 2/4!
= (1/6)t^3 - 1/30
So, the inverse Laplace transform of F(s) = (s-2)/(4!) is (1/6)t^3 - 1/30.
To find the inverse Laplace transform of F(s) = s^2 + s - 2e^(-2s), we can first use partial fractions to write
F(s) = (s+2)(s-1) - 3/(s+2)
Then, we can use the formulas for the inverse Laplace transform of the terms on the right-hand side
L⁻¹[(s+2)(s-1)] = L⁻¹[s^2 + s] = t^2 + t
L⁻¹[3/(s+2)] = 3e^(-2t)
So, by linearity of the inverse Laplace transform, we have
L⁻¹[F(s)] = L⁻¹[(s+2)(s-1)] - L⁻¹[3/(s+2)] = t^2 + t - 3e^(-2t)
Therefore, the inverse Laplace transform of F(s) is t^2 + t - 3e^(-2t).
We can start by factoring the numerator of F(s)
F(s) = (s-1)(s-1)e^(-2s) + 2e^(-2s)
Then, we can use the formulas for the inverse Laplace transform of the terms on the right-hand side
L⁻¹[(s-1)(s-1)e^(-2s)] = L⁻¹[(s-1)^2/s] = t(e^t - te^t)
L⁻¹[2e^(-2s)] = 2L⁻¹[e^(-2s)] = 2u(t-2)
where u(t) is the unit step function.
So, by linearity of the inverse Laplace transform, we have
L⁻¹[F(s)] = L⁻¹[(s-1)(s-1)e^(-2s)] + L⁻¹[2e^(-2s)/(s-1)]
= t(e^t - te^t) + 2u(t-2)e^(t-2)
Therefore, the inverse Laplace transform of F(s) is t(e^t - te^t) + 2u(t-2)e^(t-2).
To find the inverse Laplace transform of F(s) = s*e^(-s) + e^(-2s) - e^(-3s) - e^(-4s), we can use partial fraction decomposition and standard Laplace transforms.
First, let's rewrite F(s) as a sum of four terms
F(s) = s*e^(-s) + e^(-2s) - e^(-3s) - e^(-4s)
= s/(s+1) + 1/(s+2) - 1/(s+3) - 1/(s+4)
Next, we can find the inverse Laplace transform of each term using the Laplace transform table
L^-1{s/(s+1)} = e^(-t)
L^-1{1/(s+2)} = e^(-2t)
L^-1{-1/(s+3)} = -e^(-3t)
L^-1{-1/(s+4)} = -e^(-4t)
Therefore, the inverse Laplace transform of F(s) is
L^-1{F(s)} = e^(-t) + e^(-2t) - e^(-3t) - e^(-4t)
So the inverse Laplace transform of F(s) is a sum of exponential functions, each with a negative exponent.
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The inverse Laplace transform of the given function f(t) are (1/6)t^3 - 1/30, t^2 + t - 3e^(-2t), t(e^t - te^t) + 2u(t-2)e^(t-2), (1/4)*[1 - e^(t-2) - 2e^(t-3) + 3e^(t-4)]*u(t-4) and e^(-t) + e^(-2t) - e^(-3t) - e^(-4t).
Using the formula for the inverse Laplace transform of a constant multiple of a function, we can see that
L⁻¹[(s-2)/(4!)] = L⁻¹[s/(4!)] - 2L⁻¹[1/(4!)]
= 1/3! * t^3 - 2/4!
= (1/6)t^3 - 1/30
So, the inverse Laplace transform of F(s) = (s-2)/(4!) is (1/6)t^3 - 1/30.
To find the inverse Laplace transform of F(s) = s^2 + s - 2e^(-2s), we can first use partial fractions to write
F(s) = (s+2)(s-1) - 3/(s+2)
Then, we can use the formulas for the inverse Laplace transform of the terms on the right-hand side
L⁻¹[(s+2)(s-1)] = L⁻¹[s^2 + s] = t^2 + t
L⁻¹[3/(s+2)] = 3e^(-2t)
So, by linearity of the inverse Laplace transform, we have
L⁻¹[F(s)] = L⁻¹[(s+2)(s-1)] - L⁻¹[3/(s+2)] = t^2 + t - 3e^(-2t)
Therefore, the inverse Laplace transform of F(s) is t^2 + t - 3e^(-2t).
We can start by factoring the numerator of F(s)
F(s) = (s-1)(s-1)e^(-2s) + 2e^(-2s)
Then, we can use the formulas for the inverse Laplace transform of the terms on the right-hand side
L⁻¹[(s-1)(s-1)e^(-2s)] = L⁻¹[(s-1)^2/s] = t(e^t - te^t)
L⁻¹[2e^(-2s)] = 2L⁻¹[e^(-2s)] = 2u(t-2)
where u(t) is the unit step function.
So, by linearity of the inverse Laplace transform, we have
L⁻¹[F(s)] = L⁻¹[(s-1)(s-1)e^(-2s)] + L⁻¹[2e^(-2s)/(s-1)]
= t(e^t - te^t) + 2u(t-2)e^(t-2)
Therefore, the inverse Laplace transform of F(s) is t(e^t - te^t) + 2u(t-2)e^(t-2).
To find the inverse Laplace transform of F(s) = s*e^(-s) + e^(-2s) - e^(-3s) - e^(-4s), we can use partial fraction decomposition and standard Laplace transforms.
First, let's rewrite F(s) as a sum of four terms
F(s) = s*e^(-s) + e^(-2s) - e^(-3s) - e^(-4s)
= s/(s+1) + 1/(s+2) - 1/(s+3) - 1/(s+4)
Next, we can find the inverse Laplace transform of each term using the Laplace transform table
L^-1{s/(s+1)} = e^(-t)
L^-1{1/(s+2)} = e^(-2t)
L^-1{-1/(s+3)} = -e^(-3t)
L^-1{-1/(s+4)} = -e^(-4t)
Therefore, the inverse Laplace transform of F(s) is
L^-1{F(s)} = e^(-t) + e^(-2t) - e^(-3t) - e^(-4t)
So the inverse Laplace transform of F(s) is a sum of exponential functions, each with a negative exponent.
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Related Questions
Which ordered pair represents a point that is 3 points to the left and 2 points
above point T?
AY
10
9
8
7
6
5
4
3
2
1
.T
0 1 2 3 4 5 6 7 8 9 10
х
(1,7)
(6,0)
(0,6)
(5, 7)
Pio
Answers
Answer:
(0, 6)
Step-by-step explanation:
Point T has a coordinate pair of (3, 4). That is, at point T, x = 3, while y = 4.
3 points to the left of T would be a movement on the x-axis. This movement is a run across the x-axis. At T, x = 3. Therefore, 3 points to the left would be a decrease by 3 = 3 - 3 = 0.
3 points to the left of T would leave us with an x coordinate of 0.
2 points above T suggest a rise, which is on the y-axis.
Therefore, at T, y = 4. 2 points above 4 = 4 + 2 = 6. y coordinate would now be 6.
In conclusion, the ordered pair representing 3 points to the left, and 2 points above point T is (0, 6).
Can someone help me with this if you can?? thank you! <3
Answers
Answer:
4680 dollars
Step-by-step explanation:
Hello, I'd love to help you!
We know that:
-Original price is 7200 dollars
-Manuel only paid for 65% of it
-> think of it this way: think of the overall price as a pie; Manuel only ate 65% of it
To calculate how much Manuel paid, we can multiply 7200 times 0.65 (percentage in decimal form), which equals 4680 dollars.
Which of the following statements is false?
-|-5| = -5
-(-5) = 5
-|5| = -5
|-5| = -5
Answers
Adam and Stacey are working on a homework assignment in which they must identify all functions that are one- to-one functions. Adam says that all linear functions are one-to-one functions, so they don’t even need to look at the linear functions. Stacey disagrees, and says that not all linear functions are one-to-one functions. Who is correct? Explain how you determined which student is correct.
Answers
Stacey is correct, not all linear functions are one - to - one function.
The explanation is done below
What are one - to - one function?A one - to - one function is a function which has the input values gives only one output.
when a function gives same output for more than one input then the function is said to be many - to - one function and not one - to - one function.
Counterexample where linear functions are not one - to - one function is
f ( x ) = | x |A graph of f ( x ) = | x | is a linear function giving two sloping lines mirroring each other, this gives the chance of having two x values resulting to a particular y value.
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Find the other endpoint (E2) given the midpoint (2,2) and
endpoint 1 (-3,-2)
Answers
Answer:
(\(-\frac{1}{2}\),0)
Step-by-step explanation:
Help, I got 2262, I dunno what I'm doing wrong.
Answers
The two states will never have the same median house value.
How to model the linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
The slope m represents the rate of change.The intercept b represents the value of y when x = 0.The intercepts are given by the values of each home in 1950, thus:
Idaho: 35500.Delaware: 55000.The slopes are given by the average change over the 50 years, hence:
Idaho: m = (106300 - 35500)/50 = 1416.Delaware: m = (130400 - 55000)/50 = 1508.As the number of years must be positive, Delaware starts with the higher income and has a higher yearly increase, the two states will never have the same median house value.
Solving 35500 + 1416x = 55000 + 1508x, we would end up with a negative value of x.
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Each histogram represents a set of data with a median of 29.5. Which set of data most likely has a mean that is closest to 29.5?
A graph shows the horizontal axis numbered 9 to 48. The vertical axis is numbered 1 to 5. The graph shows an upward trend from 1 to 33 then a downward trend from 33 to 45.
A graph shows the horizontal axis numbered 15 to 48. The vertical axis is numbered 1 to 5. The graph shows an upward trend from 1 to 30 then a downward trend from 30 to 45.
A graph shows the horizontal axis numbered 12 to 56. The vertical axis is numbered 2 to 8. The graph shows an upward trend from 1 to 32 then a downward trend from 32 to 56.
A graph shows the horizontal axis numbered 15 to 54. The vertical axis is numbered 1 to 5. The graph shows an upward trend from 1 to 24, a downward trend from 24 to 27, an upward trend from 27 to 30, a downward trend from 30 to 39, an upward trend from 39 to 45, a downward trend from 45 to 48, then an upward trend from 48 to 51.
Answers
To determine which set of data most likely has a mean closest to 29.5, we need to analyze the shape and position of the histograms in relation to the value 29.5.
Looking at the histograms described:
The first histogram ranges from 9 to 48, and the upward trend starts from 1 and ends at 33, followed by a downward trend. This histogram suggests that there may be values lower than 29.5, which would bring the mean below 29.5.
The second histogram ranges from 15 to 48, with an upward trend from 1 to 30 and then a downward trend. Similar to the first histogram, it suggests the possibility of values lower than 29.5, indicating a mean below 29.5.
The third histogram ranges from 12 to 56, and the upward trend starts from 1 and ends at 32, followed by a downward trend. This histogram covers a wider range but still suggests the possibility of values below 29.5, indicating a mean below 29.5.
The fourth histogram ranges from 15 to 54 and exhibits multiple trends. While it has fluctuations, it covers a wider range and includes both upward and downward trends. This histogram suggests the possibility of values above and below 29.5, potentially resulting in a mean closer to 29.5.
Based on the descriptions, the fourth histogram, with its more varied trends and wider range, is most likely to have a mean closest to 29.5.
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I have no idea about this.
Can anyone suggest any approach?
Answers
Answer:
Step-by-step explanation:
translate
find the nth tearm
-5 -2 3 10 19
Answers
Given :
The sequence is -5 , -2 , 3 , 10 , 19 .
To Find :
The nth term of the given sequence .
Solution :
Difference between first 2 terms :
-2 - ( -5 ) = 3 1 term
3 - ( -2 ) = 5 2 term
10 - 3 = 7 3 term
19 - 10 = 9 4 term
From the above observation we can say that difference is increasing in odd number .
So, the nth term will be :
\(a_{n+1}= -5 + (2n+1)\) for n greater than equal to 0.
Hence, this is the required solution.
Lucy has $7 less than Kristine and $5 more than Nina together,the three have $35 how much does Lucy have?
Answers
Lucy has $7 less than Kristine and $5 more than Nina together, the three have $35. Lucy has $11.
Let's denote the amount of money that Kristine has as K, the amount of money that Lucy has as L, and the amount of money that Nina has as N.
According to the given information, we can form two equations:
Lucy has $7 less than Kristine: L = K - 7
Lucy has $5 more than Nina: L = N + 5
We also know that the three of them have a total of $35: K + L + N = 35
We can solve this system of equations to find the values of K, L, and N.
Substituting equation 1 into equation 3, we get:
K + (K - 7) + N = 35
2K - 7 + N = 35
Substituting equation 2 into the above equation, we get:
2K - 7 + (L - 5) = 35
2K + L - 12 = 35
Since Lucy has $7 less than Kristine (equation 1), we can substitute K - 7 for L in the above equation:
2K + (K - 7) - 12 = 35
3K - 19 = 35
Adding 19 to both sides:
3K = 54
Dividing both sides by 3:
K = 18
Now we can substitute the value of K into equation 1 to find L:
L = K - 7
L = 18 - 7
L = 11
Finally, we can find the value of N by substituting the values of K and L into equation 3:
K + L + N = 35
18 + 11 + N = 35
N = 35 - 18 - 11
N = 6
Therefore, Lucy has $11.
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1/2+3/4+4/5 how to solve it please help me i'm waiting
Answers
Answer:
41/20
Step-by-step explanation:
or 2 1/20
Consider the function. f(x) = f(x − 1)² + 7. Select ALL of the statements that are true.
The axis of symmetry of f(x) is y = 7.
The axis of symmetry of f(x) is x = 1.
The vertex of the function is (1,7).
The vertex of the function is (-1, 7).
f is increasing on the interval -∞ → x → 1
f is increasing on the interval 1 → x → ∞
f is decreasing on the interval 1 → x → ∞
f is decreasing on the interval -∞ → x → 1
Answers
Answer:
Step-by-step explanation:
Here Is a Quick Explanation :)
To find the axis of symmetry and the vertex of the function, we can use the fact that the function is recursive, and we can write:
f(x) = f(x-1)² + 7
f(x-1) = f(x-2)² + 7
f(x-2) = f(x-3)² + 7
...
f(1) = f(0)² + 7
If we substitute the last equation into the previous one, we get:
f(x-1) = (f(0)² + 7)² + 7
f(x) = ((f(0)² + 7)² + 7)² + 7
This shows that the function depends only on the initial value f(0), and we can use this fact to find the axis of symmetry and the vertex.
To find the axis of symmetry, we need to find the value of x that makes f(x) equal to f(-x). We can write:
f(-x) = f(-(x-1))² + 7 = f(-x+1)² + 7
Now, if we substitute f(x) = f(x-1)² + 7 into the last equation, we get:
f(-x) = (f(x-1)² + 7)² + 7 = f(x)² + 7
This means that the axis of symmetry is the line x = 0, and not y = 7 as stated in option A.
To find the vertex, we need to find the maximum or minimum value of the function. Since f(x) = f(x-1)² + 7, the function is increasing if f(x-1) > -7, and decreasing if f(x-1) < -7. Since f(0) = 7, we can conclude that the function is increasing on the interval -∞ < x < 1, and decreasing on the interval x > 1. Therefore, the vertex is at x = 1, and the corresponding value is f(1) = 7.
Therefore, the correct statements are:
The axis of symmetry of f(x) is x = 0.
The vertex of the function is (1, 7).
f is increasing on the interval -∞ < x < 1.
f is decreasing on the interval x > 1.
Solve each equation. If exact roots cannot be found, state the consecutive integers between which the roots are located.
x^2+ 10x + 24 = 0
Answers
Answer:
x=2
Step-by-step explanation:
x^2+10x+24=0
12x=24=0
12x=24
x=2
My math is rusty so this may not be the right answer.
Aniya got a 44 out of 40 points on her American Government quiz due to an extra credit question. What is Aniya's grade written as a percent?
Answers
Therefore , the solution of the given problem of unitary method comes out to be Aniya's final grade is 10%.
What is an unitary method?To complete the assignment, use the iii . -and-true core method, the real variables, and any pertinent information acquired through general and specific questions. In response, customers might be given another opportunity to sample expression the products. We will miss out on important developments in the comprehension of programmes if these changes don't take place.
Here,
Aniya obtained additional credit worth a total of 4 points because she received 44 out of a possible 40 (44 - 40 = 4). We can use the following equation to represent her grade as a percentage:
=> (Points Earned / Total Points) x 100 = percentage.
Inserting the values:
=> Percentage = (4/40) * 100.
=> Ratio = 0.1 x 100
=> percent = 10.
With the extra credit, Aniya's final grade is 10%.
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Use the given information to write an equation of a circle.
center at (0,0) , radius 6
Answers
The equation of the circle with radius 6 and center at (0 , 0) is x^2 + y^2 = 36.
The general form of the equation of circle is given by (x - h)^2 + (y - k)^2 = r^2, where (h , k) is the location of the center and r is the radius of the circle.
Given the radius and center of the circle, substitute these values to the general form of the equation of the circle.
(x - h)^2 + (y - k)^2 = r^2
where (h , k) = (0 , 0)
r = 6
(x - 0)^2 + (y - 0)^2 = 6^2
x^2 + y^2 = 36
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A toothpaste company surveyed 36,219 customers about their favorite toothpaste flavor . The date will be used be help the company decide what flavors to continue making . To the nearest thousand, about how many customers were surveyed.
Answers
Answer:
To the nearest thousands; 36,000 customers were surveyed.
Step-by-step explanation:
Conversion of figures to the nearest thousand often requires rounding up digits that are not up to 5 in the place of hundreds to zero and rounding up the digits that are up to 5 in the place of hundreds to one, therefore, adding it to the value of the previous thousands.
From the given question, to round up the number of customers surveyed in the company, we have the following:
since we are given the value to be 36,219
9 is in unit position
1 is in tens
2 is in hundreds
6 is in thousands
3 is in ten thousand
since the value of 2 in hundred is not up to 5, we round it up to zero, Then our value becomes 36,000 to the nearest thousand.
can anyone provide me a link for add maths igcse textbook 2nd edition exercise answers?? please its urgent
Answers
Answer:
yes
Step-by-step explanation:
come with your money
Find y as a function of t if
100y″+40y′+85y=0,y(0)=2,y′(0)=2.
y(t)=
Answers
The differential equation is 100y″ + 40y′ + 85y = 0, with the initial conditions y(0) = 2, y′(0) = 2. We are to determine y as a function of t. First, we find the roots of the corresponding characteristic equation:100r² + 40r + 85 = 0Simplifying:5(20r² + 8r + 17) = 05(10r + 1)² + 9 = 0.
Now, we can solve for the roots:5(10r + 1)² = -9r = (-1 ± 3i) / 10We have complex roots, so the general solution isy(t) = e^{-t/10}(c₁ cos((3/10)t) + c₂ sin((3/10)t))Next, we solve for the constants c₁ and c₂ using the initial conditions:y(0) = 2 = c₁c₂ = y′(0) = 2 = - (3/10) c₁ + (3/10) c₂Thus, c₁ = 2 and c₂ = 2 + (3/10) c₁ = 2 + (3/10) (2) = 2.6. Therefore, the solution to the differential equation is:y(t) = e^{-t/10}(2 cos((3/10)t) + 2.6 sin((3/10)t))Therefore, y(t) = e^{-t/10}(2 cos((3/10)t) + 2.6 sin((3/10)t)).
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Consider the curve with parametric equation a(t) = (2+ +5,42 +44 +4],tER. = The equation of the: tangent to the curve at the point a(1) is y= • normal to the curve at the point a(1) is y= By eliminating the parameter t , we find that the Cartesian equation of the curve is: = y = The curve (in black), tangent (in blue) and normal (in red) are displayed below. 18 16 14 12 10 T y 8 6 4 2. -20) N 14 6 8 10 12 14 16
Answers
The Cartesian equation of the curve is \(y = (4/5)x^2 + (176/25)x - (462/25)\).
To find the Cartesian equation:
The curve in question has a parametric equation of a(t) = (\(2+4t+5t^2, 42+44t+4t^2\)),
where t is an element of the real numbers. To find the equation of the tangent to the curve at the point a(1), we need to first find the derivative of the curve with respect to t.
a'(t) = (4+10t, 44+8t)
Next, we plug in t=1 to find the slope of the tangent at a(1):
a'(1) = (14, 52)
The slope of the tangent is 52/14 = 26/7.
To find the equation of the tangent, we use point-slope form with the point a(1) = (11, 90):
y - 90 = (26/7)(x - 11)
Simplifying, we get y = (26/7)x - 74/7 as the equation of the tangent to the curve at the point a(1).
To find the normal to the curve at a(1), we need to find the negative reciprocal of the slope of the tangent:
m = -7/26
Using point-slope form with the point a(1), we get:
y - 90 = (-7/26)(x - 11)
Simplifying, we get y = (-7/26)x + 786/13 as the equation of the normal to the curve at the point a(1).
To eliminate the parameter t and find the Cartesian equation of the curve, we can solve the x and y equations for t:
\(x = 2 + 4t + 5t^2\)
\(y = 42 + 44t + 4t^2\)
Rearranging the first equation, we get:
\(t^2\) + (4/5)t + (x-2)/5 = 0
Using the quadratic formula, we get:
t = (-4/5) ± sqrt((4/5)^2 - 4(x-2)/5)/2
Simplifying, we get:
t = (-2/5) ± sqrt(4/25 - 4(x-2)/25)/2
t = (-2/5) ± sqrt(1 - 4(x-2)/25)/2
Using the second equation, we get:
44t = y - 42 - 4t^2
Substituting t from the first equation, we get:
44((-2/5) ± sqrt(1 - 4(x-2)/25)/2) = y - 42 - 4((-2/5) ± sqrt(1 - 4(x-2)/25)/2\()^2\)
Simplifying, we get:
y = (4/5)\(x^2\) + (176/25)x - (462/25)
Therefore, the Cartesian equation of the curve is y = (4/5)\(x^2\) + (176/25)x - (462/25).
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What is the value of the expression below?
-5 * (3^2 - 2) + (7 * 5 + 7) / 6
Answers
Answer:
-5 * (3^2 - 2) + (7 * 5 + 7) / 6=-28
Hope This Helps!!!
find the critical value(s) and rejection region(s) for the type of z-test with level of significance . include a graph with your answer. right-tailed test, a=0.03.
Answers
Answer:
c
Step-by-step explanation:
The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.
The critical value(s) and rejection region(s) for the type of z-test with a level of significance a = 0.03 and a right-tailed test are as follows :Step 1: Determine the critical value of zThe critical value is calculated by using the normal distribution table and the level of significance. A right-tailed test will have a critical value of zα. For a level of significance of 0.03, we will look for the z-value that corresponds to 0.03 in the normal distribution table.Critical value for a = 0.03 is z = 1.88 (approx).Step 2: Determine the Rejection Region The rejection region for a right-tailed test is defined as any z-value that is greater than the critical value. That is, if the test statistic is greater than 1.88, we reject the null hypothesis at the 0.03 level of significance, and if it is less than or equal to 1.88, we fail to reject the null hypothesis.Therefore, the rejection region for a right-tailed test with a level of significance of 0.03 is as follows:Rejection Region: Z > 1.88 OR Z ≤ -1.88Graph: The graph for the given values will be as follows:The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.
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Kind of confused, can someone help?
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A ball dropped from the roof of a 120 foot high building took 4 seconds to reach the ground. What was the average speed of the ball during its fall?
A
480 feet per second
B
124 feet per second
C
30 feet per second
D
130 feet per second
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Answer:
answer is C
average speed=distance÷time=120÷4=30
If 3 2/5 is the lesser number in an inequality, which statement is true?
Answers
Answer:
B is correct
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
What is the radius of a circle with a circumference of 48 inches? Give the exact value and the value rounded to the nearest tent.
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ANSWER
r = 24/π in ≈ 7.6 in
EXPLANATION
The circumference of a circle of radius r is,
\(C=2\pi r\)So, if the circumference of this circle is 48 inches,
\(48in=2\pi r\Rightarrow r=\frac{48in}{2\pi}=\frac{24}{\pi}in\approx7.6in\)Hence, the radius of this circle is 24/π inches, or 7.6 inches, rounded to the nearest tenth.
As a Senior Surveyor you have been assigned a task to plan a Side Scan operation in search of an object in 200 m water. Explain the factors taken into consideration to officer-in-charge of the boat proceeding for a Side Scan survey.
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As a Senior Surveyor planning a Side Scan operation in search of an object in 200 meters of water, there are several important factors to consider. Here are the key considerations that should be communicated to the officer-in-charge of the boat:
1. Object characteristics: Gather information about the object you're searching for, including its size, shape, and material composition. This will help determine the appropriate sonar frequency and settings to use during the Side Scan survey.
2. Bathymetry: Obtain accurate bathymetric data for the survey area to understand the water depths, contours, and potential obstacles. This information is crucial for planning the survey lines, ensuring safe navigation, and avoiding any hazards.
3. Side Scan sonar equipment: Assess the capabilities and specifications of the Side Scan sonar system to be used. Consider factors such as the operating frequency range, beam width, and maximum range. Ensure that the equipment is suitable for the water depth of 200 meters and can provide the required resolution for detecting the target object.
4. Survey area and coverage: Determine the extent of the search area and establish the coverage requirements. Plan the survey lines, considering the desired overlap between adjacent survey lines to ensure complete coverage. Account for any factors that may affect the survey, such as current conditions, tidal movements, or known features in the area.
5. Survey vessel and navigation: Assess the capabilities and suitability of the survey vessel for the Side Scan operation. Consider factors such as stability, maneuverability, and the ability to maintain a steady course and speed. Ensure the vessel is equipped with accurate navigation systems, such as GPS and heading sensors, to precisely track the survey lines.
6. Environmental conditions: Consider the prevailing weather conditions, such as wind, waves, and visibility. Ensure that the operation can be conducted safely within the given weather window. Additionally, be aware of any environmental regulations or restrictions that may impact the survey.
7. Data processing and analysis: Plan for the post-survey data processing and analysis, including the software and tools required to interpret the Side Scan sonar data effectively. Determine the desired resolution and sensitivity settings to optimize the chances of detecting the target object.
8. Safety and emergency procedures: Communicate the necessary safety precautions and emergency procedures to the officer-in-charge, ensuring the crew is aware of potential risks and how to mitigate them. This includes safety equipment, communication protocols, and emergency response plans.
By considering these factors and effectively communicating them to the officer-in-charge, you can help ensure a well-planned Side Scan operation in search of the object in 200 meters of water.
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Adam has 312pounds of ground beef.
How many burgers can he make if each burger requires 14 pound?
PLS HELP NOWWWW
Answers
He can make 22 burgers. Please mark me as the Brainliest.
Answer:
14 or 0.14
Step-by-step explanation:
3 1/2 ÷ 1/4
1/4 = 25
3 1/2 ÷ 25 = 0.14 or 14
This is correct answer can you mark me brainliest
The equation c = 2000 + 3r represents the cost in dollars (C) of producing remote
controls (1)
What is the cost of producing 1000 remote controls?
PLEASE HELP FAST!!!
Answers
Answer:
The cost of producing 1000 remote controls is $5000.
Step-by-step explanation:
You have to substitute r = 1000 into the expressions :
\(c = 2000 + 3r\)
\(let \: r = 1000\)
\(c = 2000 + 3(1000)\)
\(c = 2000 + 3000\)
\(c = 5000\)
) January's cell phone bill cost $68. If your monthly rate is $44 and it cost $0.25 per text, write an equation to find
the number of texts sent in January. Then, determine the number of texts sent in January
AFTER YOU ARE DONE PLS SHOW YOUR WORK AND A COMPLETE SENTENCE TO PROVE IT!
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Answer:
Equation is 0.25x+44 = 68
96 texts were sent in January
===================================================
Work Shown:
x = number of text messages
0.25x = cost of all those text messages before the $44
0.25x+44 = cost after adding the extra $44
0.25x+44 = 68 is the equation to set up
Let's solve for x
0.25x+44 = 68
0.25x = 68-44
0.25x = 24
x = 24/0.25
x = 96 texts were sent in January
to find 12÷ 3/5 we rewrite 12 as PLEASE HELP
Answers
Answer:
The twelve can be rewritten as: n = 3 5 × 12 1. Now, we can multiply the numerators and denominators: n = 3 ×12 5 × 1. n = 36 5.
Step-by-step explanation: