Answer:
7^-3Step-by-step explanation:
Solving in steps
7^-1/7^2 =7^-1 × 7^-2 =7^(-1 - 2) =7^-3Which window with the following dimensions is too small to allow a 48-inch piece of glass to fit through it?
28 x 45 inches
36 x 27 inches
40 x 40 inches
40 × 42 inches
The dimensions 36 x 27 inches are too small to allow a 48-inch piece of glass to fit through it.
What is meant by dimensions?An object's dimension is a topological measure of the size of its covering properties. It is the number of coordinates required to specify a point on the object.A dimension is a measurement that includes things like length, width, and height. When you talk about an object's or place's dimensions, you're referring to its size and proportions. Dimensions are the powers to which basic units or quantities are raised in order to represent a specific physical quantity. <br> e.g., : In the gravitational constant formula, the length, mass, and time dimensions are 3, -1, and -2, respectively. The dimensional formula is defined as the physical quantity expressed in terms of its basic unit with proper dimensions. Dimensional force, for example. F = [M L T-2] It's because the Force unit is Newton, or kg*m/s2.To learn more about dimensions, refer to:
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Consider two events: E and F. We know that P(E) = P(F) = 0.7.
Suppose we know that P(F|E) = 0.9. What is the probability that at least one of them occurs? Or what is P(E or F)?
a. 0.50
b. 0.77
c. 0.90
d. 1.33
The probability that at least one of the events E and F occur is equal to the sum of the probabilities of each event minus the probability of both events occurring, which is equal to 0.7 + 0.7 - 0.9 = 0.77.
P(E or F) = P(E) + P(F) - P(E and F)
= 0.7 + 0.7 - 0.9
= 0.77
The probability that at least one of the events E and F occur is equal to the sum of the probabilities of each event minus the probability of both events occurring. This can be calculated using the formula P(E or F) = P(E) + P(F) - P(E and F). In this case, P(E) and P(F) are both equal to 0.7, and P(F|E) is equal to 0.9. This means that the probability of both events occurring is equal to 0.9. Therefore, the probability that at least one of the events occur is equal to 0.7 + 0.7 - 0.9 = 0.77. This means that the probability of at least one of the events occurring is 0.77.
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Please help! Correct answer only, please! I need to finish this assignment this week. ;; Given matrix A and B both have dimensions 2 x 2 and are the inverse of one another what should be the following product? A · B A. B. C. D.
Answer:
B
Step-by-step explanation:
Homework 4: Problem 11 Previous Problem Problem List Next Problem (1 point) Find k such that x(t) = 5¹ is a solution of the dx differential equation - = kx. dt k = Homework 4: Problem 12 Previous Problem Problem List Next Problem (1 point) Find the solution of the differential equation that satisfies the given initial condition. dy = :5y, y(0) = -3 dx y(x) = Homework 4: Problem 13 Previous Problem Problem List Next Problem (1 point) Find the solution of the differential equation that satisfies the given initial condition. dx 4 - x(0) = 5 dt x(t) = || X "
Problem 11: k = 1, Problem 12: y(x) = -3e^(-5x) and Problem 13: x(t) = 5t + 5, We can solve this differential equation using separation of variables.
Problem 11: We are given that x(t) = 5t is a solution of the differential equation -dx/dt = kx. We can substitute this into the differential equation to get -5 = kt. Solving for k, we find that k = -1/5.
Problem 12: We are given the differential equation dy/dx = 5y and the initial condition y(0) = -3. We can solve this differential equation using separation of variables.
The general solution is y = C*e^(5x), where C is an arbitrary constant. We can use the initial condition to find C = -3, so the specific solution is y(x) = -3e^(-5x).
Problem 13: We are given the differential equation dx/dt = 4 - x and the initial condition x(0) = 5. We can solve this differential equation using separation of variables.
The general solution is x = 4t + C, where C is an arbitrary constant. We can use the initial condition to find C = 5, so the specific solution is x(t) = 5t + 5.
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Abigail is 8 years older than Cynthia. Twenty years ago Abigail was three times as old as Cynthia
was. How old is each of them now?
Plz explain
T/F Synergy is obtained when the value created by two divisions operated separately and independently is greater than the value that would be created by two divisions cooperating.
Synergy is obtained when the value created by two divisions operated separately and independently is greater than the value that would be created by two divisions cooperating. The given statement is False.
The statement is false. Synergy is a term used to describe the benefits that can be achieved when two or more parts of a business work together to create more value than they could on their own. In other words, when two divisions cooperate and work together, the combined value they create is greater than the value that would be created if they worked independently and separately.
For example, if a company has a marketing division and a sales division, these two divisions could work independently to achieve their goals. However, if they work together and share information, resources, and expertise, they can create more value by developing more effective marketing strategies that lead to increased sales. In this case, the combined value of the marketing and sales divisions working together is greater than the value they could create if they worked independently.
Therefore, it is incorrect to say that synergy is obtained when two divisions operate separately and independently to create greater value than they would if they cooperated.
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Verbal
2. What is the composition of two functions, f ∘ g ?
In summary, the composition of two functions, f ∘ g, combines the outputs of the function g as inputs to the function f.
The composition of two functions, f ∘ g, is a new function that is formed by applying the output of the function g as the input of the function f.
To find the composition of f ∘ g, follow these steps:
1. Start with the function g(x) and evaluate it for a given input value, let's call it 'a'. This will give you g(a).
2. Take the output g(a) and use it as the input for the function f(x). Evaluate f(x) with this input value to get f(g(a)).
3. The final result f(g(a)) is the value of the composition of the two functions f ∘ g at the input 'a'.
In terms of composition notation, f ∘ g is read as "f composed with g" or "f of g". It represents the order in which the functions are applied: g is applied first, and then f is applied to the result of g.
In summary, the composition of two functions, f ∘ g, combines the outputs of the function g as inputs to the function f.
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Solve:
ab^2-(a-c)b-c=?
Answer:
ab^2-(a-c)b-c
ab^2-ab+bc-c
ab(b-1)+c(b-1)
(b-1)(ab+c)
plot the normal probability plot and the residual plot vs x. what do you infer from them? harrisburg
To obtain the residuals from the fit in 8.4a and plot them against y and x, as well as prepare a normal plot, we need the specific details of the fit and the data used.
WE know that residuals represent the differences between the observed values and the predicted values from a statistical model or regression analysis.
Since the residuals against y and x can help identify patterns or trends in the data that may indicate issues with the model's fit.
A normal plot, known as a Q-Q plot, compares the distribution of the residuals to a theoretical normal distribution. If the residuals closely follow a straight line in the normal plot, the residuals are normally distributed, which is an assumption of many statistical models.
Interpreting these plots involves examining the patterns and deviations from expected behavior. If the residuals exhibit a consistent pattern, it might indicate that the model does not capture all the relevant information in the data.
Thus if the residuals appear randomly scattered around zero with no discernible pattern, it suggests that the model adequately explains the data. Deviations in the normal plot may indicate departures from the assumption of normality in the residuals, which could impact the reliability of statistical inferences.
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Is sin(sin^-1x) = sin-1(sinx) an identity? Why or why not?
It should be noted that sin(sin^-1x) = sin-1(sinx) is not an identity.
What is identity?It should be noted that an identity simply means an equation that is always true no matter the values that are substituted.
In this case, should be noted that sin(sin^-1x) = sin-1(sinx) is not an identity. It's simply the inverse of the sine function.
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How would you go about identifying the polarity of the single-phase transformer? Include drawing
Reading at L1 and L2= 121v
2 & 3 are connected, reading at 1 & 4 = 26.47v
2 & 4 are connected, reading at 1 & 3 = 7.32v
6 & 7 are connected, reading at 5 & 8 = 25.78v
5 & 7 are connected, reading at 6 & 8 = 5.42v
2 & 3 are connected, 4 & 5 are connected, 6 & 7 are connected, Reading at 1 & 8 = 52.27v
Based on the provided voltage readings, the polarity of the single-phase transformer can be identified as follows: the dot notation represents the primary winding, while the numerical labels indicate the corresponding terminals.
The primary and secondary windings are denoted by L1 and L2, respectively. The polarities can be determined by observing the voltage readings across various terminal combinations.
To identify the polarity of a single-phase transformer, you can analyze the voltage readings obtained from different terminal connections. In this case, let's consider the given readings.
When measuring the voltage between L1 and L2, we obtain a reading of 121 volts. This indicates the voltage across the primary and secondary windings in the same direction, suggesting a non-reversed polarity.
Next, measuring the voltage between terminals 1 and 4 while connecting terminals 2 and 3 results in a reading of 26.47 volts. This implies that terminals 1 and 4 have the same polarity, while terminals 2 and 3 have opposite polarities.
Similarly, when connecting terminals 2 and 4 and measuring the voltage between terminals 1 and 3, a reading of 7.32 volts is obtained. This indicates that terminals 1 and 3 have the same polarity, while terminals 2 and 4 have opposite polarities.
For the combination of terminals 6 and 7, a voltage reading of 25.78 volts is measured between terminals 5 and 8. This suggests that terminals 5 and 8 have the same polarity, while terminals 6 and 7 have opposite polarities.
Lastly, when connecting terminals 5 and 7 and measuring the voltage between terminals 6 and 8, a reading of 5.42 volts is obtained. This indicates that terminals 6 and 8 have the same polarity, while terminals 5 and 7 have opposite polarities.
By considering the polarity relationships observed in these readings, we can conclude that the primary and secondary windings of the single-phase transformer have the same polarity. The dot notation indicates the primary winding, and the numerical labels represent the terminals.
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when two sides and an angle are given at least one triangle can be formed. True or False
The answer is TRUE, When two sides and an angle are given at least one triangle can be formed.
When two sides and an angle are given, it is possible to form a unique triangle if the given angle is between the two given sides (i.e., the angle is not included by the two given sides). This is known as the Side-Angle-Side (SAS) criterion, which states that if two sides and the angle between them are given, then a unique triangle can be formed.
For example, if we are given that the length of side AB is 5 cm, the length of side AC is 7 cm, and the angle BAC is 60 degrees, then we can use this information to construct a unique triangle ABC.
However, if the given angle is not between the two given sides, then it is not possible to form a unique triangle. In this case, we would need to be given additional information, such as another angle or side length, to determine the dimensions and shape of the triangle.
In summary, the statement "When two sides and an angle are given at least one triangle can be formed" is true if the given angle is between the two given sides.
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a) Give the answer in engineering notation for the following: i. 6230000 Pa ii. 8150 g
In engineering notation, 6230000 Pa is expressed as 6.23 MPa (megapascals), and 8150 g is written as 8.15 kg.
Engineering notation is a convention used in the field of engineering to express large or small numbers in a simplified format. It involves representing the value using a combination of a number between 1 and 999 and a corresponding metric prefix.
In the case of 6230000 Pa, which stands for pascals (the SI unit of pressure), the conversion to engineering notation involves expressing the number as a single digit followed by a metric prefix. The metric prefix "M" represents the factor of one million. Therefore, 6230000 Pa can be written as 6.23 MPa, where "M" represents mega.
Similarly, for 8150 g, which stands for grams, the conversion to engineering notation requires expressing the number as a single digit followed by a metric prefix. The metric prefix "k" represents the factor of one thousand. Thus, 8150 g can be written as 8.15 kg, where "k" represents kilo.
Using engineering notation helps simplify and standardize the representation of numbers in engineering calculations and communications, making it easier to work with values that span a wide range of magnitudes.
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an old piano has 88 keys, and 56 of them are out of tune, while the remaining keys are tuned properly. a child strikes a key on the piano at random. what is the probability that the child strikes a properly tuned key?
Answer: I think It is 63.64%. If I'm wrong I'm sorry.
Step-by-step explanation:
Ask yourself what is 56% out of 88%. I did it in my head, but I got 63.6363636% then I rounded it to 63.64%.
Help me with this. I am really stuck.
By Side-Angle-Side congruence theorem and the assumption that ΔABC is an equilateral triangle and ∠ 1 ≅ ∠ 2 , we conclude that the angles ADB and CDB are congruent.
How to prove a feature of a geometric system
In this problem we find a geometric system formed by two triangles that form an equilateral triangle, whose proof must be done by using definitions of definitions and theorems from Euclidean geometry. The complete procedure is shown below:
AB ≅ AC ≅ BC Definition of equilateral triangle∠ 1 ≅ ∠ 2 GivenDB is a side of ΔABD and ΔBCD GivenDB is a bisector of ∠B Definition of bisectorΔABD ≅ ΔBCD SAS Theorem of congruence of triangles∠ADB ≅ ∠CDB Step 3 / ResultHence, the angles ADB and CDB of the geometric system formed by the triangles ABD and BCD shown in the picture are congruent.
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i need this answer in by 6:00.. i have tutoring at that time
Answer:
80
Step-by-step explanation:
v=bxh
v=10x8
v=80
17/8x+3/4x+1/6-7/12x+18/3 simplify
Answer:
55x + 148/24
Explanation:
PLEASE HELP ASAP!!! i’ll mark brainlest
Answer:
true
Step-by-step explanation:
Answer:
I thinks it 1 min
Step-by-step explanation: search up "what ratio would you use to convert 60 sec / 1 minute"
exercise 0.2.6. is y=sint a solution to ?(dydt)2=1−y2? justify.
y = sin(t) is indeed a solution to the differential equation (dy/dt)² = 1 - y².
We'll need to perform the following steps:
Step 1: Find the derivative of y with respect to t.
Step 2: Square the derivative and substitute it into the equation.
Step 3: Check if the equation holds true with the given function.
Step 1:
To find the derivative of y = sin(t) with respect to t, we use the basic differentiation rule for sine:
(dy/dt) = cos(t).
Step 2:
Next, we square the derivative:
(dy/dt)² = cos²(t).
Step 3:
Now we substitute this expression and y = sin(t) into the given equation:
(cos²(t)) = 1 - (sin²(t)).
Using the trigonometric identity sin²(t) + cos²(t) = 1, we can see that the equation holds true:
cos²(t) = 1 - sin²(t).
Thus, y = sin(t) is indeed a solution to the differential equation (dy/dt)² = 1 - y².
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Which of the following expressions represents the phrase “twice the sum of a number and 5”
Answer:
2(x+5)
Step-by-step explanation:
Kim is solving the absolute value inequality |2x – 1| + 3 2x –1 rather than –3 –2.
Answer:fbf
Step-by-step explanation:
help me pls
The ___________________ of an object is how heavy the object is
Group of answer choices
none
length
weight
capacity
The _____________________ of a container is the amount the container can hold.
Group of answer choices
length
capacity
No answer text provided.
weight
A standard coffee mug has a capacity of 16 fluid ounces. If Annie needs to fill 26 mugs with coffee, how many total quarts of coffee does she need?
_____________________________________________________________
_____________________________________________________________
Convert: 9 T = _____________ lb
Compare. Write <, > or = Solve.
96 fl oz ___________ 13 c
Compare. Write <, > or = Solve.
25 lb ______________ 384 oz
Compare. Write <, > or = Solve.
8 yd ______________ 288 in.
Convert. 336 oz = _________ lb
Answer:
The weight of an object is how heavy the object is
The capacity of a container is the amount the container can hold.
A standard coffee mug has a capacity of 16 fluid ounces. If Annie needs to fill 26 mugs with coffee, how many total quarts of coffee does she need?
Annie needs 13 quarts of coffee. I know this because 1 US quart is 32 US fluid ounces. 16 fluid ounces multiplied by 26 mugs of coffee is 416 and then you convert 416 fluid ounces into 13 quarts.
Convert: 9 T = 18,000 lb
Compare. Write <, > or = Solve.
96 fl oz < 13 c
Compare. Write <, > or = Solve.
25 lb > 384 oz
Compare. Write <, > or = Solve.
8 yd = 288 in.
Convert. 336 oz = 21 lb
Step-by-step explanation:
Find the equation of the line shown.
y
10
9
8.
7
6
5
4
3
2
1
0 1 2 3 4 5 6 7 8 9 10x
if correct will mark brainliest
Answer:
y = -x + 9
Step-by-step explanation:
✔️Find the slope using (9, 0) and (7, 2):
\( slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{2 - 0}{7 - 9} = \frac{2}{-2} = -1 \)
Slope (m) = -1
✔️Find the y-intercept (b):
The line intercepts the y-axis when y = 9. Therefore, y-intercept (b) = 9
✔️Substitute m = -1 and b = 9 into y = mx + b
Thus,
y = -1(x) + 9
y = -x + 9
Suppose we have a matrix A € Rmxn. Recall the Golub-Kahan bidiagonalisation pro- cedure and the Lawson-Hanson-Chan (LHC) bidiagonalisation procedure (Section 8. 2). Answer the following questions (5 marks each): (i) Workout the operation counts required by the Golub-Kahan bidiagonalisation. (ii) Workout the operation counts required by the LHC bidiagonalisation. (iii) Using the ratio , derive and explain under what circumstances the LHC is com- putationally more advantageous than the Golub-Kahan. (iv) Suppose we have a bidiagonal matrix B E Rnxn, show that both BTB and BBT are tridiagonal matrices. Hint: recall that the operation counts of the QR factorisation (using Householder reflec- tion) is about 2mn² - 3n³. You can relate those two bidiagonalisation procedures to the QR factorisation to work out their operation counts
Answer:
(i) Operation counts required by the Golub-Kahan bidiagonalization:
The Golub-Kahan bidiagonalization procedure can be broken down into two steps:
1. Bidiagonalization of A using Householder reflections.
2. Reduction of the bidiagonal matrix to a diagonal matrix using QR iterations.
For the first step, the operation count is approximately 2mn² - 2n³. This is because the bidiagonalization process requires m Householder reflections for the rows and n Householder reflections for the columns, each involving approximately 2n operations.
For the second step, the operation count is approximately 8n³. This is because the reduction of the bidiagonal matrix to a diagonal matrix using QR iterations requires n-1 iterations, and each iteration involves approximately 8n operations.
Therefore, the total operation count for the Golub-Kahan bidiagonalization is approximately 2mn² + 6n³.
(ii) Operation counts required by the Lawson-Hanson-Chan (LHC) bidiagonalization:
The LHC bidiagonalization procedure can also be broken down into two steps:
1. Bidiagonalization of A using Householder reflections.
2. Reduction of the bidiagonal matrix to a diagonal matrix using singular value decomposition (SVD).
For the first step, the operation count is the same as in the Golub-Kahan bidiagonalization, which is approximately 2mn² - 2n³.
For the second step, the operation count is approximately 12n²(m - n) + 12n³. This is because the SVD involves finding the eigenvalues and eigenvectors of the bidiagonal matrix, which requires approximately 12n²(m - n) operations, and then constructing the singular value matrix, which requires approximately 12n³ operations.
Therefore, the total operation count for the LHC bidiagonalization is approximately 2mn² - 2n³ + 12n²(m - n) + 12n³.
(iii) The ratio between the operation counts of LHC and Golub-Kahan bidiagonalization is given by:
Ratio = (2mn² - 2n³ + 12n²(m - n) + 12n³) / (2mn² + 6n³)
Simplifying the expression, we get:
Ratio = (m + 6n) / (1 + 3n/m)
The LHC bidiagonalization is computationally more advantageous than the Golub-Kahan bidiagonalization when the ratio (m + 6n) / (1 + 3n/m) is smaller. This means that the LHC method is more efficient when the value of m (number of rows) is significantly larger than n (number of columns), or when the value of n/m is small.
(iv) To show that both BTB and BBT are tridiagonal matrices, we need to consider the structure of a bidiagonal matrix B.
A bidiagonal matrix B has nonzero entries only on the main diagonal and the first superdiagonal. Let's denote the nonzero elements on the main diagonal as di and the nonzero elements on the first superdiagonal as ei.
For BTB, the product of B with its transpose, the resulting matrix will have nonzero elements only on the main diagonal and the first two superdiagonals. The diagonal elements of BTB will be the squares of the diagonal elements of B (di^2), and the superdiagonal elements will be the products of adjacent diagonal and superdiagonal elements of B (di * ei). All other elements will be zero.
Similarly, for BBT, the resulting matrix will have nonzero elements only on the main diagonal and the first two subdiagonals. The diagonal
Next time you ask questions, make you sure ask 1 question at a time or else nobody will answer.the mean of a distribution is defined as the data value where 50% of the data is above and 50% is below. group of answer choices true false
FALSE, it is not the mean but the median of a distribution which is defined as the data value where 50% of the data is above and 50% is below.
The median denotes the point at which 50% of data values are higher and 50% are lower. As a result, it is the data's midpoint. In a symmetrical distribution, the median is always the midpoint, resulting in a mirror image with the median in the center.
The median is the number in the middle of a sorted, ascending or descending list of numbers, and it might be more descriptive of the data set than the average.
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pls help me I will make u a brainest
At an antique store, an arcade game machine was said to be worth $15000 even though its original price was only $200. As a percentage of the original price, what would be the profit if the arcade machine was sold for $15000?
200%
3000%
74%
1500%
7400%
650%
148%
Answer:
7400%
Step-by-step explanation:
I just did the calculations for 7400% and 200 and got 14800 so just rounded to get 15000 so its 7400%
Answer:
7400%
Step-by-step explanation
i use my calculator for this stuff
PLSSS HELP ME i need helppp
*giving brainest 5 stars and ty to correct answer*
Answer:
A
Step-by-step explanation:
Answer:
A.
Step-by-step explanation:
Each time you divide or multiply by a negative number, you must change the direction of the inequality symbol.
Factor X squared minus 2X -80
Answer:
(x - 10)(x + 8)
Step-by-step explanation:
x² - 2x - 80
Consider the factors of the constant term (- 80) which sum to give the coefficient of the x- term (- 2)
The factors are - 10 and + 8 , since
- 10 × 8 = - 80 and - 10 + 8 = - 2 , then
x² - 2x - 80 = (x - 10)(x + 8)
What is the exponential smoothing forecast for period 5 assuming that alpha \( =0.4 \) ? (Keep 2 decimals in your answer)
The exponential smoothing forecast for period 5, assuming an alpha (α) value of 0.4, is determined by applying the exponential smoothing formula.
The exponential smoothing formula is given by:
Forecast for period t = α * Actual value for period t + (1 - α) * Forecast for period t-1
In this case, we need the forecast for period 5, so we will use the formula to calculate it based on the available data.
To calculate the exponential smoothing forecast for period 5, we use the given alpha (α) value of 0.4 and the available data for previous periods. The formula considers the actual value for period t and the forecast for the previous period (t-1).
Since we are calculating the forecast for period 5, we need the actual value for period 5 and the forecast for period 4. However, these values are not provided in the given information. Without the actual value for period 5 or the forecast for period 4, it is not possible to provide a specific numerical answer for the exponential smoothing forecast for period 5.
The exponential smoothing technique is commonly used for forecasting, where the alpha (α) value determines the weight given to the most recent observations. A higher alpha value places more weight on recent data, while a lower alpha value gives more weight to historical data. By adjusting the alpha value, the forecast can be adjusted to respond more quickly or more slowly to changes in the data.
To calculate the exponential smoothing forecast for period 5, it is essential to have the necessary data points. With the provided alpha (α) value of 0.4, the formula can be applied once the required data is available.
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