Answer:
-12
Step-by-step explanation:
Answer: -12
Step-by-step explanation:
solve for X please help i need it fast
Answer:
x = 20
Step-by-step explanation:
\(\frac{10}{x}\) = \(\frac{x}{40}\)
We cross-multiply and get
400 = \(x^{2}\)
\(\sqrt{400}\) = \(\sqrt{x^{2} }\)
x = 20
So, the answer is x = 20
The city of London, England, has an
elevation of 11 meters.
Which of these describes the elevation
of London?
below sea level
at sea level
above sea level
Answer:
above sea level
Step-by-step explanation:
Solve the following ODE using Laplace Transforms: a. y"+ 4y = 10 cos5t, y(0) = 0, y'(0) = 0 b. y^(4) – y = 0, y(0) = 0, y'(0) = 1, y" (0) = 0, y'" (0) = 0
a. To solve the ODE y" + 4y = 10cos(5t) using Laplace transforms, we follow these steps:
Applying the Laplace transform to the equation, we get:
\(s^2Y(s) - sy(0) - y'(0) + 4Y(s) = 10/(s^2 + 25)\)
Using the initial conditions y(0) = 0 and y'(0) = 0, we simplify the equation to:
\(s^2Y(s) + 4Y(s) = 10/(s^2 + 25)\)
Combining the terms and factoring out Y(s), we have:
\(Y(s) = 10/(s^2 + 25) / (s^2 + 4)\)
We can rewrite Y(s) as:
\(Y(s) = A/(s^2 + 25) + B/(s^2 + 4)\)
Multiplying through by the common denominator\((s^2 + 25)(s^2 + 4)\), we get:
\(10 = A(s^2 + 4) + B(s^2 + 25)\)
Equating coefficients of the like terms, we have:
\(0s^3: 0 = Bs^2: 0 = 4A + 25B\)
0s: 0 = 4B
constant: 10 = 4A
From these equations, we find that A = 10/4 = 5/2 and B = 0
Taking the inverse Laplace transform of Y(s), we obtain the solution in the time domain:
y(t) = (5/2)cos(5t)
Therefore, the solution to the given ODE with the initial conditions is y(t) = (5/2)cos(5t).
b. To solve the ODE y^(4) - y = 0 using Laplace transforms, we follow these steps:
Applying the Laplace transform to the equation, we get:
\(s^4Y(s) - s^3y(0) - s^2y'(0) - sy''(0) - y'''(0) - Y(s) = 0\)
Using the initial conditions y(0) = 0, y'(0) = 1, y''(0) = 0, and y'''(0) = 0, we simplify the equation to:
\(s^4Y(s) - s^2 = s^3\)
Combining like terms and rearranging the equation, we have:
\(s^4Y(s) - Y(s) = s^3 + s^2\)
Factoring out Y(s), we get:
\(Y(s) = (s^3 + s^2) / (s^4 - 1)\)
We can rewrite Y(s) as:
\(Y(s) = (s^3 + s^2) / [(s^2 + 1)(s^2 - 1)]\)
Using partial fraction decomposition, we have:
\(Y(s) = (s + 1) / (s^2 + 1) + (s - 1) / (s^2 - 1)\)
Taking the inverse Laplace transform of Y(s), we obtain the solution in
the time domain:
y(t) = cos(t) + sinh(t)
Therefore, the solution to the given ODE with the initial conditions is y(t) = cos(t) + sinh(t).
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does anyone know the answer to this i couldn't find it
Answer:
a) 90
b) 256
Step-by-step explanation:
1² + 2³ + 3⁴
= 1 + 2³ + 3⁴
= 1 + 8 + 3⁴
= 9 + 34
= 9 + 81
= 90
4² × 2⁴
= 16(2⁴)
= (16)(16)
= 256
Pls. Help find these answers?!
Answer:
12
Step-by-step explanation:
Answer:
1) 12 boxes
2) 3, 6, 12
3) 12
4) 110 degrees
Step-by-step explanation:
1) Count the rectangles. Multiply the length of the rectangle in boxes to the width of rectangle in boxes.
Length: 4 boxes
Width: 3 boxes
4 x 3 = 12
12 boxes
2)
10% of 30 is 0.1 times 30.
0.1 x 30 = 30/10 = 3
20% of 30 is 0.2 times 20.
0.2 x 30 = 30/5 = 6
40% of 30 is 0.4 times 20.
0.4 x 30 = 30/2.5 = 12
3) Count the cubes. Reminder there are 2 boxes you cannot see.
Top Layer: 2
Middle Layer: 4
Back Bottom Layer: 4
Front Bottom Layer: 2
2 + 4 + 4 + 2 = 12
4) I cannot see the semicircle clearly, but I do know that a circle is 360 degrees. A semicircle, half of a circle, is 180 degrees.
180/18 (The angle of each section)
10
11 Sections
10 x 11 = 110
The amount of charge on a capacitor in an electric circuit decreases by 30% every second. Assume the original charge on the capacitor is
1
millicoulombs. A) What is the charge
0.06
seconds after that. B) Set up and solve the equation to find when the charge is
0.1
millicoulombs.
The amount of charge on the capacitor after 0.06 seconds = 0.042 millicoulombs
What is an electric circuit?An electric circuit is defined as the device that aids in transmission of electricity generated by a battery or a generator.
A capacitor is defined as the device that has the ability to store energy in an electric circuit.
The amount of charge in a capacitor decreases in one second by = 30%
The original charge on the capacitor = 1 millicoulombs
30 % of 1millicoulombs = 30/100 * 1 = 0.3
1millicoulombs - 0.3 millicoulombs = 0.7 millicoulombs .
If 0.7 millicoulombs = 1 second
X millicoulombs = 0.06 second
Make X millicoulombs the subject of formula;
X millicoulombs = 0.06 × 0.7 = 0.042 millicoulombs.
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You are a financial advisor with a client who purchased 100 shares of stock in a fund with a net asset value of $21.30 and an offer price of $21.45. Your client wants to make $20 per share on the stock when it is sold. The client calls you to find out why you have not sold the shares today, because they saw the stock listed with a net asset value of $41.30 and an offer price of $41.45. Explain to your client why you have not sold the shares.
Answer:
You followed through on the offer cost of $21.45 per share for your stock, and you can sell it for its net resource estimation of $41.30 per share. That is a benefit of just $19.85 per share, which isn't the $20 per share you need to get.
Step-by-step explanation:
Sorry for the late answer my guy.
Based on the information given, the reason why the shares hasn't been sold is because the profit gotten is only $19.85 and not the $20 per share that the person wants to get.
From the information, it was stated that 100 shares of stock were bought in a fund with a net asset value of $21.30 and an offer price of $21.45.
The offer price of $21.45 per share was paid and it can be sold for a net asset value of $41.30 per share. Therefore, the profit made will be:
= $41.30 - $21.45
= $19.85
Therefore, the profit gotten is only $19.85 and not the $20 per share that the person wants to get.
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2 Points
Multiply the polynomials.
(x + 3)(3x2 + 8x + 9)
A. 3x3 + x2 + 33x+ 213
B. 3x3 + 17x2 - 15x+27
C. 3x3 + 17x2 + 33x-27
D. 3x3 + 17x2 + 33x + 27
Answer:
3x³ + 17x² + 33x + 27
Explanation:
(x + 3)(3x² + 8x + 9)
= (x + 3)(3x² + 8x + 9)
= (x)(3x²) + (x)(8x) + (x)(9) + (3)(3x²) + (3)(8x) + (3)(9)
= 3x³ + 8x² + 9x + 9x² + 24x + 27
= 3x³ + 17x² + 33x + 27
The perimeter of a square is directly proportional to the length of its sides. A. Write an equation to represent this direct variation. Make sure to define your variables. B. In complete sentences, use a specific example to justify your equation from part A. Include a drawing in your answer
A) Equation to represent perimeter of a square is directly proportional to the length of its sides is P = ks.
B) When we double the length of the side, s becomes 2s, and the perimeter becomes P = k(2s) = 2ks, k remaining constant.
A) Let's define the perimeter of the square as P, and the length of one side as s. The direct proportionality between them can be expressed as:
P = ks
where k is the constant of proportionality.
B) For example, let's say we have a square with sides of length 4 cm. The perimeter of this square would be,
P = 4 + 4 + 4 + 4 = 16 cm
Now, let's double the length of each side to 8 cm. The perimeter of this new square would be calculated being,
P = 8 + 8 + 8 + 8 = 32 cm
As it can be found that the perimeter has doubled as well. This can be explained using the equation from part A, P = ks
When we double the length of the side, s becomes 2s, and the perimeter becomes:
P = k(2s) = 2ks
The proportionality constant, k, stays the same. Therefore, the perimeter is directly proportional to the length of the sides.
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At Café Primo, a bowl of granola is
2.5 times more expensive than a pot of
tea. Karla bought granola and tea, and
put $1.50 in the tip jar. She spent a
total of $6.75. What is the price of a
pot of tea?
Find the Lap lace transform of
f(t) = 6u (t- 2) + 3u(t-5) - 4u(t-6)
F(s)=
To find the Laplace transform of f(t), we use the formula:
L{f(t)} = ∫[0,∞) \(e^(-st)\) f(t) dt
where L{f(t)} denotes the Laplace transform of f(t) and u(t) is the unit step function.
Using the linearity of the Laplace transform, we can find the Laplace transform of each term separately and add them up.
L{6u(t-2)} = \(6e^(-2s)\) / s (applying the time-shift property)
L{3u(t-5)} = \(3e^(-5s)\) / s (applying the time-shift property)
L{-4u(t-6)} = -\(4e^(-6s\)) / s (applying the time-shift property)
Therefore, the Laplace transform of f(t) is:
F(s) = L{f(t)} = 6\(e^(-2s)\) / s + \(3e^(-5s)\) / s - \(4e^(-6s)\)/ s
= \((6e^(-2s) + 3e^(-5s) - 4e^(-6s)) / s\)
Hence, the Laplace transform of f(t) is F(s) = \((6e^(-2s) + 3e^(-5s) - 4e^(-6s)) / s.\)
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Simplify
1-(cos^2)theta/(sin^2 )theta
A. 1
B. sin^2 theta
C. cos^2 theta
D. tan^2 theta
Question 2 (5 points) ✓ Saved
Determine the value of x.
3
6
3V3
3V2
Answer:
x = 6 units
Step-by-step explanation:
For θ = 30°, Perpendicular is 3. Hypotenuse is x.
We can use trigonometry to find x.
\(\sin(30)=\dfrac{P}{H}\)
\(\sin(30)=\dfrac{3}{x}\\\\x=\dfrac{3}{\sin(30)}\\\\x=6\)
So, the value of x is equal to 6 units.
how well does the average rate of change describe how the mold changes for these 6 days
According to the information, the average will not adequately show the growth of the area covered by mold.
How well does the average rate of change describe how the mold changes for these 6 days?To identify how well does the average rate of change describe how the mold changes for these 6 days we must carefully observe the data in the table and draw a conclusion.
As we can see, the value of the area covered by mold doubles every day. From the foregoing, we can infer that an average will not correctly express this change because it expresses a general value over all days that does not reflect growth.
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a linear function has an x-intercept of −8 − 8 and a y-intercept of 4 4 . which of these is an equation of the linear function?
A linear function can be represented by an equation of the form y = mx + b, where m is the slope of the function and b is the y-intercept. The x-intercept is the point where the graph of the function intersects the x-axis, and the y-intercept is the point where the graph intersects the y-axis.
Given that the x-intercept of the linear function is −8 and the y-intercept is 4, an equation of the function can be written as:
y = mx + b
Substituting the values of the x-intercept and the y-intercept into this equation, we get:
y = m(-8) + 4
Since the y-intercept is 4, this equation can be rewritten as:
y = 4 + mx
This equation represents a linear function with a y-intercept of 4 and a slope of m.
Therefore, an equation of the linear function with an x-intercept of −8 and a y-intercept of 4 is y = 4 + mx.
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Given that the x-intercept of the linear function is −8 and the y-intercept is 4, an equation of the function can be written as:
y = mx + b
Substituting the values of the x-intercept and the y-intercept into this equation, we get:
y = m(-8) + 4
Since the y-intercept is 4, this equation can be rewritten as:
y = 4 + mx
This equation represents a linear function with a y-intercept of 4 and a slope of m.
Therefore, an equation of the linear function with an x-intercept of −8 and a y-intercept of 4 is y = 4 + mx.
what is the quotient
Answer:
The quotient is 4x+5 and the remainder is -13
Step-by-step explanation:
Using synthetic division
-5 4 25 12
Bringing down the 4 and multiplying
-5 4 25 12
↓ -20 -25
----------------------
4 5 -13
The quotient is 4x+5 and the remainder is -13
Answer:
4x +5 \(\frac{-13}{x+5}\)
Step-by-step explanation:
. 4x +5 \(\frac{-13}{x+5}\)
x + 5 | 4x^2 + 25x + 12
- 4x^2 + 20x
5x + 12
5x + 25
-13
Can ANYONE help write this in slope intercept form??
3х - y = -3
Answer:
y=3x+3
Step-by-step explanation:
3x-y=-3
-y=-3x-3
y=3x+3
Part B
The table holding Juanita's pennies gets bumped, and the stack becomes slanted.
How is the volume of the stack affected? Explain your reasoning
The volume of the stack affected will be 10,825.38 cubic millimeters.
Let r be the radius and h be the height of the cylinder.
Then the volume of the cylinder will be
V = π r²h cubic units
The table holding Juanita's pennies gets bumped, and the stack becomes slanted.
The radius of the cylinder is given as,
r = 19.05 / 2
r = 9.525 mm
Then the volume of the cylinder is calculated as,
V = π x (9.525)² x 38
V = 3.14 x 90.725 x 38
V = 10,825.38 mm³
The volume of the stack affected will be 10,825.38 cubic millimeters.
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Answer:
The volume of the stack affected will be 10,825.38 cubic millimeters.
Step-by-step explanation:
2
A line passes through the point (-9,5) and has a slope of
3
Write an equation in point-slope form for this line.
x 3
Answer:
y-5=3(x- (-9)
Step-by-step explanation:
What is the LCD ( least common denominator) of 1/3 and 3/4
Answer:
12
Step-by-step explanation:
I. Find LCD value by devide all denominator,
in this case are 3 and 4
= 2 | 3 4
| 3 2
= 2 * 3 * 2
= 12
Hope that help :)
I NEED FAST HELP! please answer these questions!
Answer:
Step-by-step explanation:
a
Number 4 , please I need help with these I don’t understand these type of problems as much. Thank u
Answer:
D.) 9:1
he original poster has an area of:
Area = length x width = 5 in x 3 in = 15 sq in
When the length and width are tripled, the new poster has a length of 5 in x 3 = 15 in and a width of 3 in x 3 = 9 in. So, the area of the new poster is:
New Area = length x width = 15 in x 9 in = 135 sq in
The ratio of the area of the new poster to the area of the original poster is:
New Area : Original Area = 135 sq in : 15 sq in = 9 : 1
Therefore, the ratio of the area of the new poster to the area of the original poster is 9:1
Please help due tonight !
Answer: (14 , 15/2)
Step-by-step explanation:
...
Answer:
No, K isn't the midpoint of JL
The square base of the Great Pyramid of Giza
has an area of 562,500 sq. ft. How could you determine
the length of each side of the base?
What is the perimeter?
to rent a popcorn machine, it costs $35 plus $6.95 for each hour. Write an evaluate an expression to find the total cost of renting the popcorn machine for 5 hours. Then make a table showing the cost for 5, 6, 7, and 8 hours.
Answer:
y=6,95x+35
y=6,95*5+35=69,75 for 5 hours
for 6 hours y=76,7
for 7 hours y=83.65
for 8 hours y=90,6
Step-by-step explanation:
Answer:
to rent a popcorn machine, it costs 35$ plus $6.95 for each hour. write and evaluate an expression to find the total cost of renting the popcorn machine for 5 hours. then make a table showing the cost for 5, 6, 7, and 8 hours
Step-by-step explanation:
to rent a popcorn machine, it costs 35$ plus $6.95 for each hour. write and evaluate an expression to find the total cost of renting the popcorn machine for 5 hours. then make a table showing the cost for 5, 6, 7, and 8 hours
The situation that is best modeled by a discrete graph is
Answer:
Hope It helps you :) Cause the graph haves to show two unsame activities
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
please help answering this question and give working out so i can understand
The rules for the lines are:
a. y = -4x - 24
c. y = -2x + 4
e. y = 1.5x - 3.75
How to determine the rules for the lines?a. If the gradient is -4 and the x-intercept is -6, the equation of the line can be written in slope-intercept form as:
y = -4x + b
To find the y-intercept (b), we use the x-intercept (-6) and substitute it into the equation:
0 = -4(-6) + b
0 = 24 + b
b = -24
Therefore, the equation of the line is:
y = -4x - 24
b. If the gradient is -2 and the x-intercept is 2, the equation of the line can be written in slope-intercept form as:
y = -2x + b
To find the y-intercept (b), we use the x-intercept (2) and substitute it into the equation:
0 = -2(2) + b
0 = -4 + b
b = 4
Therefore, the equation of the line is:
y = -2x + 4
c. If the gradient is 1.5 and the x-intercept is 2.5, the equation of the line can be written in slope-intercept form as:
y = 1.5x + b
To find the y-intercept (b), we use the x-intercept (2.5) and substitute it into the equation:
0 = 1.5(2.5) + b
0 = 3.75 + b
b = -3.75
Therefore, the equation of the line is:
y = 1.5x - 3.75
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the range of numbers in the data series that controls the minimum, maximum, and incremental values on the value axis is referred to as the:
The range of numbers in the data series that controls the minimum, maximum, and incremental values on the value axis is referred to as the "axis scale" or "axis range."
It determines the span of values displayed on the value axis of a graph or chart. The axis scale is typically set based on the minimum and maximum values present in the data series, and the incremental values (tick marks) are placed at regular intervals within that range.
It represents the span of values that will be displayed on the value axis of a graph or chart. The data range determines the scale and divisions of the axis, allowing the viewer to interpret the data accurately and understand the relative magnitude of the values being presented.
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What is the equation of a line that is paralel to — 3x + 4y = 4 and passes through the point (4, 0)?
Step-by-step explanation:
..............
=> 3x + 4y = 12
23.97xsquare root of 0.7124 divided by 3.877x52.18
The value of the expression 23.97 x √(0.7124) ÷ 3.877 x 52.18 is 0.1000069342.
What is an expression?One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.
Given:
A phrase: 23.97xsquare root of 0.7124 divided by 3.877x52.18.
In numeric form,
23.97 x √(0.7124) ÷ 3.877 x 52.18.
= 0.1000069342.
Therefore, the value is 0.1000069342.
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