Answer:
That is 5 cm a day
Step-by-step explanation:
Answer:
5 centimeters per day
Step-by-step explanation:
25 cm ÷ 5 days = 5 cm in each day
The following equation describes a linear dynamic system, appropriate for DTKE: In = Xn-1 and Yn = x + 20n where a is a known, non-zero scalar, the noise Un, is white with zero mean, scalar Gaussian r.v.s, with variance o, and In are also Gaussian and independent of the noise.
Provide the DTKF equations for this problem. Are they the same as in the Gallager problem.
The DTKF equations for the given linear dynamic system are not the same as in the Gallager problem.
The DTKF (Discrete-Time Kalman Filter) equations are used for estimating the state of a dynamic system based on observed measurements. In the given system, the state equation is In = Xn-1, and the observation equation is Yn = X + 20n.
The DTKF equations consist of two main steps: the prediction step and the update step. In the prediction step, the estimated state and its covariance are predicted based on the previous state estimate and the system dynamics. In the update step, the predicted state estimate is adjusted based on the new measurement and its covariance.
For the given system, the DTKF equations can be derived as follows:
Prediction Step:
Predicted state estimate: Xn|n-1 = In|n-1Predicted state covariance: Pn|n-1 = APn-1|n-1A' + Q, where A is the state transition matrix and Q is the covariance of the process noise.Update Step:
Innovation or measurement residual: yn = Yn - HXn|n-1, where H is the measurement matrix.Innovation covariance: Sn = HPn|n-1H' + R, where R is the covariance of the measurement noise.Kalman gain: Kn = Pn|n-1H'Sn^-1Updated state estimate: Xn|n = Xn|n-1 + KnynUpdated state covariance: Pn|n = (I - KnH)Pn|n-1These DTKF equations are specific to the given linear dynamic system and differ from those in the Gallager problem, as they depend on the system dynamics, observation model, and noise characteristics.
The DTKF equations for the given linear dynamic system are not the same as in the Gallager problem. Each dynamic system has its own unique set of equations based on its specific characteristics, and the DTKF equations are tailored to estimate the state of the system accurately.
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Triangle ABC has vertices at A(−3, 3), B(0, 4), and C(−3 , 0). Determine the coordinates of the vertices for the image if the preimage is translated 4 units down. A′(−3, −1), B′(0, 0), C′(−3, −4) A′(−3, 7), B′(0, 8), C′(−3, 4) A′(−7, 3), B′(−4, 4), C′(−7, 0) A′(1, 3), B′(4, 4), C′(1, 0)
The answer is correct, we can plot both triangles on a Coordinate plane and visually inspect the result. If we plot triangle ABC with vertices A(-3, 3), B(0, 4), and C(-3, 0), and then plot the image triangle A'B'C' with vertices A'(-3, -1), B'(0, 0), and C'(-3, -4), we can see that the image is a translation of the original triangle down by 4 units.
To determine the coordinates of the vertices of the image of triangle ABC after being translated 4 units down, we need to subtract 4 from the y-coordinates of each vertex. This is because a translation is a type of transformation that moves each point of a figure a certain distance in a certain direction.
So, starting with the preimage of triangle ABC with vertices at A(-3, 3), B(0, 4), and C(-3, 0), we can find the image by subtracting 4 from the y-coordinates:
A'(-3, 3 - 4) = A'(-3, -1)
B'(0, 4 - 4) = B'(0, 0)
C'(-3, 0 - 4) = C'(-3, -4)
Therefore, the coordinates of the vertices for the image after the translation are A'(-3, -1), B'(0, 0), and C'(-3, -4).
So, the correct option is A) A′(−3, −1), B′(0, 0), C′(−3, −4).
To check if the answer is correct, we can plot both triangles on a coordinate plane and visually inspect the result. If we plot triangle ABC with vertices A(-3, 3), B(0, 4), and C(-3, 0), and then plot the image triangle A'B'C' with vertices A'(-3, -1), B'(0, 0), and C'(-3, -4), we can see that the image is a translation of the original triangle down by 4 units.
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A music club has 15 members. Each member pays monthly dues of $14.60. On the first day of the month, 8 members paid their dues. The remaining members paid their dues on the second day of the month. How much money was collected in dues on the second day of the month
Answer:
$102.2 were collected
Step-by-step explanation:
If there are 15 members in total, and 8 of them paid it on the first day, then you know that 7 people paid it the next day, because the remaining people paid it the next day.
7x14.60=102.2
begin{tabular}{|r|l|r|r|} \hline 3 & Below are your numerical inputs for the problem: \\ \hline 4 & Initial Cost (\$) & 390000 \\ \hline 5 & Year 1 Revenues (\$) & 192000 \\ \hline 6 & Year 1 Costs (\$) & 125000 \\ \hline 7 & Inflation & 2.75% \\ \hline 8 & Project Duration (years) & 6 \\ \hline 9 & Depreciation Method & \\ \hline 10 & Tax Rate & \\ \hline 11 & Net Working Capital (\% oft+1 Revenues) & MACRS \\ \hline 12 & Salvage Value (\$) & 28.00% \\ \hline 13 & Cost of Capital & 15.00% & 245000 \\ \hline \end{tabular} How much are the year 1 operating cash flows (OCF)? How much is the depreciation expense in year 3 ? What is the change in Net Working Capital (NWC) in year 2? What is the net cash flow from salvage (aka, the after-tax salvage value, or ATSV)? What is the project's NPV? Would you recommend purchasing the ranch? Briefly explain.
Information is needed to evaluate the project's financial viability, considering factors such as the initial investment, expected cash flows, cost of capital, and project duration.
To calculate the year 1 operating cash flows (OCF), we need to subtract the year 1 costs from the year 1 revenues:
OCF = Year 1 Revenues - Year 1 Costs
OCF = $192,000 - $125,000
OCF = $67,000
To find the depreciation expense in year 3, we need to determine the depreciation method. The provided information is incomplete regarding the depreciation method, so we cannot calculate the depreciation expense in year 3 without knowing the specific method.
The change in Net Working Capital (NWC) in year 2 can be determined by multiplying the Net Working Capital percentage (given as a percentage of t+1 revenues) by the year 1 revenues and subtracting the result from the year 2 revenues:
Change in NWC = (Year 2 Revenues - Net Working Capital percentage * Year 1 Revenues) - Year 1 Revenues
Without the specific Net Working Capital percentage or Year 2 Revenues values, we cannot calculate the exact change in NWC in year 2.
The net cash flow from salvage (ATSV) is calculated by multiplying the Salvage Value percentage by the Initial Cost:
ATSV = Salvage Value percentage * Initial Cost
ATSV = 28% * $390,000
ATSV = $109,200
To calculate the project's NPV, we need the cash flows for each year, the cost of capital, and the project duration. Unfortunately, the information provided does not include the cash flows for each year, so we cannot calculate the project's NPV.
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The complete question is:
Below are your numerical inputs for the problem: 4 & Initial Cost (\$) & 390000 5 & Year 1 Revenues (\$) & 192000 6 & Year 1 Costs (\$) & 125000 7 & Inflation & 2.75% 8 & Project Duration (years) & 6 9 & Depreciation Method & 10 & Tax Rate & 11 & Net Working Capital (\% oft+1 Revenues) & MACRS 12 & Salvage Value (\$) & 28.00% 13 & Cost of Capital & 15.00% & 245000 How much are the year 1 operating cash flows (OCF)? How much is the depreciation expense in year 3 ? What is the change in Net Working Capital (NWC) in year 2? What is the net cash flow from salvage (aka, the after-tax salvage value, or ATSV)? What is the project's NPV? Would you recommend purchasing the ranch? Briefly explain.
System of Linear Equations (Substitution Method)
Answer:
y= 6x + 5 (I dont know if that's what you are looking for but I'm pretty sure that's the correct answer )
Step-by-step explanation:
you have to get y on the other side by its self
6x - y = -5
subtract 6 x from both sides
-y = -6x - 5
divide by -1
y = 6x +5
The gypsy moth is a serious threat to oak and aspen trees. A state agriculture department places traps throughout the state to detect the moths. When traps are checked periodically, the mean number of moths trapped is only 0.5, but some traps have several moths. The distribution of moth counts is discrete and strongly skewed, with a standard deviation of 0.5.
a. What is the mean (±0.1)(±0.1) of the average number of moths ¯x�¯ in 30 traps?
b. What is the standard deviation? (±0.001)(±0.001)
c. Use the central limit theorem to find the probability (±0.01)(±0.01) that the average number of moths in 30 traps is greater than 0.4.
The following values are as follows: a) Mean = 0.6, b) standard deviation = 0.073 and c) Probability is 0.0855
a) As the number of samples is large enough which is up to 30 then the mean of the average number of moths in 30 traps is given as 0.6, given from the central limit theorem.
b) The population deviation divided by the square root of the sample size gives the standard deviation value.
standard derivation = σ/ \(\sqrt{n}\) = 0.4 / \(\sqrt{30}\) = 0.4/ 5.477 = 0.073
c) The probability that an approximately normally distributed data with the standard deviation, σ, with a sample size of n is greater than a number, x, and a mean, μ, is given by
1 - P (X < x)= P (X > x)
= 1 - P(z< x- µ/ σ/\(\sqrt{n}\))
Thus, given that the mean is 0.6 and the standard deviation is 0.4, the probability that the average number of moths in 30 traps is greater than 0.7 is given by:
1 -P (X - 0.7) = P (X > 0.7)
= 1 - P(z < \(\frac{0.7-0.6}{0.073}\)) = 1 - P(z < 1.369)
= 1 - 0.91455 = 0.0855
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please answer this question
Answer:
hgcukytgouk.b
Step-by-step explanation:
Answer:
\(f(x) = \frac{4}{ - x - 2} = = > {f}^{ - 1} (x) = \frac{2x + 4}{ - x} \)
_o_o_
\(f(x) = - 4x + 1 = = > {f}^{ - 1} (x) = - \frac{x}{4} + \frac{1}{4} \)
_o_o_
\(f(x) = \frac{1}{x} - 2 = = > {f}^{ - 1} (x) = \frac{1}{x + 2} \)
_o_o_
\(f(x) = 4x = = > {f}^{ - 1} (x) = \frac{x}{4} \)
I hope I helped you^_^
Mary makes herbal teas to sell . Her most popular blend is a combination of 2 kinds of mint, 75% spearmint and 25% peppermint, by weight . She buys the mint from a wholesale company . The prices she pays for each are shown in the table.
spearmint - $2.25
peppermint- $2.75
if Mary wants to sell her mint blend for 1.6 times her cost, what should she charge per ounce?
Mary should charge $8.0 per ounce.
From the question the herbal tea is a blend of 2 kinds of mint:
75% spearmint- $2.25
25% peppermint-$ 2.75.
The cost of producing one ounce is:
75% spearmint- $2.25 + 25% peppermint-$ 2.75. =$5
The cost of the tea if it is to be sold 1.6 times will be calculated thus;
$5×1.6= $8.0
To get the new cost of the mint tea blend, the old cost is thus, multiplied by 1.6. This gives us the new cost of the mint tea blend.
Therefore cost per ounce will be $8.0
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A radioactive substance decays exponentially. A scientist begins with 130 milligrams of a radioactive substance. After 30 hours, 65 mg of the substance remains. How many milligrams will remain after 56 hours?
f(x) = abˣ
"A scientist begins with 130 milligrams", or we can word it differently.
when x = 0, f(x) = 130, which in short simply means a = 130.
"After 30 hours, 65 mg of the substance remains", worded differently.
when x = 30, f(x) = 65.
\(f(x)=ab^x~\hspace{10em}\underline{f(x)=130b^x} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} ~\hfill x&=30\\ f(x)&=65 \end{cases}\qquad \implies 65=130b^{30}\implies \cfrac{65}{130}=b^{30}\implies \cfrac{1}{2}=b^{30}\)
\(\sqrt[30]{\cfrac{1}{2}}=b\implies \cfrac{\sqrt[30]{1}}{\sqrt[30]{2}}=b\implies \cfrac{1}{\sqrt[30]{2}}=b~\hfill \underline{f(x)=130\left( \cfrac{1}{\sqrt[30]{2}} \right)^x} \\\\[-0.35em] ~\dotfill\\\\ \textit{when x = 56, what is f(x)?}\qquad f(x)=130\left( \cfrac{1}{\sqrt[30]{2}} \right)^{56}\implies f(x)\approx 35.647\)
Which of the following best described the perpendicular cross section of a soup can? Rectangle, circle, triangle, square
Answer:
it would be a rectangle
Step-by-step explanation:
The perpendicular cross-section of a soup can should be considered as the rectangle.
What is a rectangle?A rectangle refer to a 2D shape that consist of 4 sides, 4 corners, and 4 right angles.
Opposite sides of a rectangle shape should contain the same length, with one pair being bigger as compared to the other pair.
Therefore, The perpendicular cross-section of a soup can should be considered as the rectangle.
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How many different natural numbers can be formed using the digits 0,2,3,4,5,6 lying between 10 and 1000
Answer:
The total number of numbers = 125
A line with a slope of
–
6 passes through the points (
–
6,
–
5) and (
–
7,c). What is the value of c?
Answer:
c=11
Step-by-step explanation:
We have two points ( 6,5) and (7,c) and a slope of 6
The slope formula is
m = ( y2-y1)/(x2-x1)
6 = (c-5)/(7-6)
6 = (c-5)/1
6 = c-5
Add 5 to each side
6+5 = c-5+5
11 =c
what is the y intercept of the points (2,72) and (5,162)
Answer:
12
Step-by-step explanation:
Type Into Calculator:
SAT-EDIT-TYPE IN X VALUES AND Y VALUES (FROM ORDERED PAIR)-STAT-CALC-4-ENTER
Find the slope of the tangent line to the parametric curve t↦(t−t3,t4+t2),−10
The given parametric curve is:\(t ↦ (t - t³, t⁴ + t²)\)The derivative of t with respect to t will give us the slope of the tangent line to the given curve.
The derivative of the first coordinate of the curve is given by:\($$\frac{d}{dt}(t - t^3) = 1 - 3t^2$$The derivative of the second coordinate of the curve is given by:$$\frac{d}{dt}(t^4 + t^2) = 4t^3 + 2t$$Thus, the slope of the tangent line to the parametric curve at t = -1 is:$$m = \frac{4(-1)^3 + 2(-1)}{1 - 3(-1)^2}$$$$m = -\frac{6}{2} = -3$$\)
Therefore, the slope of the tangent line to the parametric curve\(t ↦ (t - t³, t⁴ + t²), -10 is -3.\)
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Why can you not combine the 8a2 and 8a?
Answer:
you can't add or subtract numbers that don't have the same variable or the same exponent
Answer:
You cannot combine the terms \(8a^2\) and \(8a\) because they are not like terms, which are terms that consist of both the same power, and the same variable. Seen with the two terms given, they both share the same variable (\(a\)), but not the same power (\(2\)).
I WILL GIVE 20 POINTS! Solve for x.
Answer:
26
Step-by-step explanation:
\(8^{2} + 20^{2} = 21.5^{2}\)
\(21.5^{2} + 14^{2} = 25.7^{2} \\x = 25.7\)
Need help will give you the brainliest
Answer:
100.44
Step-by-step explanation:
8%= 0.08
0.08*93 = 7.44
93+7.44 = 100.44
Answer:
100.44
Step-by-step explanation:
0.08 x 93 = 7.44
93 + 7.44 = 100.44
Match each slope and y-intercept with the appropriate linear equation.
m= 4, b = 3
y = -2x + 5
m=5, b = -2
y = 4x +3
m = 3, b = 4
y = 5x - 2
m = -2, b=5
y = 3x + 4
Answer:
m= 4, b = 3 matches with y = 4x +3
m=5, b = -2 matches with y = 5x - 2
m = 3, b = 4 matches with y = 3x + 4
m = -2, b=5 matches with y = -2x + 5
Step-by-step explanation:
Slope-intercept form is y = mx + b in which m = slope and b = y-intercept
Answer:m= 4, b = 3 matches with y = 4x +3
m=5, b = -2 matches with y = 5x - 2
m = 3, b = 4 matches with y = 3x + 4
m = -2, b=5 matches with y = -2x + 5
Step-by-step explanation:
Soo, I need help with these 3 math problems. I don't have enough time to do them before I go to bed.
So these apple pies have a ratio of 15 apples to 3 pies. How many apples do you need for 12 pies?
Answer:
60
Step-by-step explanation:
since 15 apples makes 3 pies you divided 15 by 3 and get 5. 5 apples for one pie so that would be 5 x 12 = 60
Answer:
Since with 15 apples we are able to make 3 pies, this means that in each pie there are 5 apples (15apples divided by 3 pies = 5 apples.)
If there are 12 pies we simply have to multiply 12x5 which equals 60, this means that if we needed to make 12 pies we would need 60 apples.
15apples:3pies = 60apples:12pies
what angle is this??
Answer:
Acute Triangle
Step-by-step explanation:
Since all of the numbers are below 90 degrees, therefore, it makes it into an acute triangle.
Hope this helps! Stay safe!
Saman consumes 100 gallons of gasoline and runs 10 loads of laundry each month. The price of gasoline rises from $3.00 a gallon to $4.50 a gallon while the price for a load of laundry is constant at $0.50.
How much will Saman's income need to increase for her to continue to purchase 100 gallons of gasoline and run 10 loads of laundry each month? $
Saman's income will need to increase by $150 per month to continue purchasing 100 gallons of gasoline and running 10 loads of laundry each month. This increase in income will compensate for the higher gasoline price and allow Saman to maintain her previous consumption level.
Before the increase in gasoline price, Saman's monthly expense for gasoline was 100 gallons * $3.00/gallon = $300. Her monthly expense for laundry was 10 loads * $0.50/load = $5. Therefore, her total monthly expense was $300 + $5 = $305.
After the increase in gasoline price to $4.50/gallon, her new monthly expense for gasoline would be 100 gallons * $4.50/gallon = $450. However, her expense for laundry remains the same at $5. Therefore, her new total monthly expense would be $450 + $5 = $455.
To continue purchasing 100 gallons of gasoline and running 10 loads of laundry each month, Saman's total monthly expense needs to remain at $305. Since her new expense is $455, her income needs to increase by $455 - $305 = $150 per month.
This increase in income will compensate for the higher gasoline price and allow Saman to maintain her previous consumption level.
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You leave your house and walk 3 km due east and 4 km due south.
How far are you from your house?
Answer:
5
Step-by-step explanation:
Because of pythagorean theorem the answer is 5
hi can anyone help me with exercise 3 and 4 please
Answer:
3: add the numbers and if they add up to 180 its a triangle
4 add the 2 numbers then subtract it by 180 to get your 3rd number
Step-by-step explanation:
A single number that estimates the value of an unknown parameter is called a _______ estimate.
Answer:
A single number that estimates the value of an unknown parameter is called a point estimate.
Step-by-step explanation:
Don't see the point (haha) of elaborating
Can someone please help me out with a small explanation thank you :)
Step-by-step explanation:
1 . when we collect like terms we only focus on the variables and the power of the variable I f exist so in this question the answer is 8x^2 because both have the same variable and same power or exponent.
2. one term is monomial
two terms is binomial
3. b
4. -9
5. c
Provide an appropriate response Suppose a uniform random ca be used to the outcome of an experiment with the outcomes ranging from 30 to 80?what is probability that this experiment results in an outcome less then 40?
The probability that the experiment results in an outcome less than 40 is 0.25.
To calculate the probability, we need to determine the range of outcomes that are less than 40 out of the total range of 30 to 80. The total range is 80 - 30 = 50. The range of outcomes less than 40 is 40 - 30 = 10.
To find the probability, we divide the range of outcomes less than 40 by the total range:
Probability = (Range of outcomes less than 40) / (Total range)
= 10 / 50
= 0.2
Therefore, the probability that the experiment results in an outcome less than 40 is 0.2 or **20%**.
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Write a possible equation for a cosine function that has a maximum point at (1, 11) and a minimum point at (8, 3).
M = A + |B| is the function's highest possible value. When sin or cos x equals 1, this maximum value is reached. m = A |B| is the function's lowest possible value. If either cos x or sin x is equal to 1, this minimum will be reached.
How do you find the maximum and minimum of a cosine function?The sine and cosine functions are graphed; to find the values of the sine and cosine functions for a variety of various degrees of angles, use a calculator, computer, or a collection of trigonometry tables (or radian).Because the sine and cosine functions have periods of 2, the patterns are continually repeated to the left and right.The sine and cosine functions can have a number of additional terms and factors added to them, changing how they look.The graph of the sine functions can be vertically shifted by adding the extra term A to the equation y = A + sin x. The sine function can have different amplitudes because to the additional element B in the equation y = B sin x. The graph's highest and minimum values, or one half of those values, make up the amplitude, or | B |, which is the maximum deviation from the x-axis. Both y = A + B sin x and y = A + B cos x are produced by combining these values. The minimum and maximum values for these two functions are specified by the following formulas. M = A + |B| is the function's highest possible value. When sin or cos x equals 1, this maximum value is reached. m = A |B| is the function's lowest possible value.If either cos x or sin x is equal to 1, this minimum will be reached.Example :
Draw the y = 1 + 2 sin x function on a graph. Which values represent the function's maximum and minimum?1 + 2 = 3 is the highest possible value. 1 + 2 = 1 is the minimum value.To Learn more About sin or cos refer To:
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Consider the scenario: a town has an initial population of 75,000 it grows at a constant rate of 2,500 per year for 5 years find the linear function that models the towns population P as a function of the year, t, where t is the number of years since the model began. P(t)=
Since the constant rate is equal to
\(m=2500\text{ people per year}\)the initial population is b= 75,00 and the line equation in slope-intercept is
\(P(t)=mt+b\)The model is given by:
\(P(t)=2500t+75000\)A triangle has vertices a(-2, 3), b(0, 0), and c(1, 2). What are the coordinates of the vertices if the triangle is reflected over the y-axis and then dilated by a scale factor of 2?.
The triangle's vertices will therefore be A'(4, 6), B'(0, 0), and C'(-2,4) if it is mirrored across the y-axis and then dilated by a scale factor of 2.
Define scale factor.The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller). For instance, we can increase the size of a rectangle with sides of 2 cm and 4 cm by multiplying each side by, let's say, 2.
Given
In line with the posed question.
Triangle ABC's vertices are A(-2, 3), B(0, 0), and C. (1, 2).
As we are aware,
The x-coordinates of each point must be negative while keeping the y-value constant in order to reflect a triangle over the y axis.
As a result, when triangle ABC is mirrored across the y-axis, its vertices are
A'(2,3)
B'(0, 0)
C'(-1, 2)
The vertices of the triangle will also change when it is dialated by a scale factor of 2.
A'(4, 6)
B'(0, 0)
And, C'(-2, 4)
The triangle's vertices will therefore be A'(4, 6), B'(0, 0), and C'(-2,4) if it is mirrored across the y-axis and then dilated by a scale factor of 2.
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Solve the system of equations algebraically.
2x+y=5
3x−3y=3
(x,y)= (
substitution
2x+y=5
y = -2x+5 (1)
3x-3y=3 (2)
1 ⇒ 2
3x - 3(-2x+5) = 3
3x+6x-15=3
9x=18
x=2
y = -2(2)+5
y = 1