Emily has 6 pages of homework to do. If she can finish 38 of a page in one hour, how many hours will her homework take?

Answer:

8

Step-by-step explanation:

Mai has $36 and each movie ticket is $4.50.

You wanna divide 36 by 4.50 to find out how much tickets she can purchase which is 8.

Answer:

5(-4xp+3m-6p)

Step-by-step explanation:

the greatest thing you can factor out from that equation would be 5, as they don't have anything else in common.

The pseudo-inverse of A is:

A+ =

⎡ cosφ/σ1 -sinφ/σ2 ⎤

⎢ sinφ/σ1 cosφ/σ2 ⎥

⎣ 0 0 ⎦

The pseudo-inverse of a 2x3 matrix A, we first need to compute the singular value decomposition (SVD) of A.

The SVD of A can be written as A = \(U\Sigma V^T\), where U and V are orthogonal matrices and Σ is a diagonal matrix with non-negative diagonal elements in decreasing order.

Since A is a 2x3 matrix, we can assume that the rank of A is either 2 or 1. If the rank of A is 2, then Σ will have two non-zero diagonal elements, and we can compute the pseudo-inverse as A+ = \(V\Sigma ^{-1}U^T\).

If the rank of A is 1, then Σ will have only one non-zero diagonal element, and we can compute the pseudo-inverse as A+ = \(V\Sigma^{-1}U^T\), where \(\Sigma^{-1\) has the reciprocal of the non-zero diagonal element.

Let's assume that the rank of A is 2, so we need to compute the SVD of A.

Since A is a 2x3 matrix, we can use the formula for SVD to write:

A = \(U\Sigma V^T\) =

⎡ cosθ sinθ ⎤

⎣-sinθ cosθ ⎦

⎡ σ1 0 0 ⎤

⎢ 0 σ2 0 ⎥

⎣ 0 0 0 ⎦

⎡ cosφ sinφ 0 ⎤

⎢-sinφ cosφ 0 ⎥

⎣ 0 0 1 ⎦

where θ and φ are angles that satisfy 0 ≤ θ, φ ≤ π, and σ1 and σ2 are the singular values of A.

The diagonal matrix Σ contains the singular values σ1 and σ2 in decreasing order, with σ1 ≥ σ2.

The pseudo-inverse of A, we first compute the inverse of Σ.

Since Σ is a diagonal matrix, its inverse is easy to compute:

\(\Sigma^{-1\)=

⎡ 1/σ1 0 0 ⎤

⎢ 0 1/σ2 0 ⎥

⎣ 0 0 0 ⎦

Next, we compute \(V\Sigma^{-1}U^T\):

A+ = VΣ^-1U^T =

⎡ cosφ -sinφ ⎤

⎣ sinφ cosφ ⎦

⎡ 1/σ1 0 ⎤

⎢ 0 1/σ2 ⎥

⎡ cosθ -sinθ ⎤

⎣ sinθ cosθ ⎦

The pseudo-inverse is not unique, and there may be different ways to compute it depending on the choice of angles θ and φ.

Any valid choice of angles will yield the same result for the pseudo-inverse.

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The pseudo-inverse A+ of a 2x3 matrix A does not exist.

The pseudo-inverse of a matrix is a generalization of the matrix inverse for non-square matrices. However, not all matrices have a pseudo-inverse.

In this case, we have a 2x3 matrix A, which means it has more columns than rows. For a matrix to have a pseudo-inverse, it needs to have full column rank, meaning the columns are linearly independent. If a matrix does not have full column rank, its pseudo-inverse does not exist.

Since the given matrix A has more columns than rows (2 < 3), it is not possible for A to have full column rank, and thus, its pseudo-inverse does not exist.

Therefore, the pseudo-inverse A+ of the 2x3 matrix A is undefined.

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Answer:

Please find attached the drawing of quadrilateral KLMN created with MS Whiteboard using the Ink to Shape command

(a) Two pairs of opposite sides are \(\overline {KN}\), \(\overline {LM}\) and \(\overline {KL}\), \(\overline {NM}\)

(b) Two pairs of opposite angles are ∠LKN, ∠LMN, and ∠KLM and ∠KNM

(c) Two pairs of adjacent sides are \(\overline {KN}\), \(\overline {NM}\) and \(\overline {KL}\), \(\overline {LM}\)

(d) Two pairs of adjacent angles are ∠LKN, ∠KLM and ∠LMN, ∠KNM

Step-by-step explanation:

Answer:

1110

Step-by-step explanation:

Let x = price of the ticket before tax

We know the ticket plus the tax = 1232.10

x + x*11% = 1232.10

x+.11x = 1232.10

1.11x = 1232.10

Divide each side by 1.11

1.11x/1.11 = 1232.10/1.11

x=1110

Answer:

Step-by-step explanation:

Let the cost is x.

Answer:

x = 14

y = 6

Step-by-step explanation:

*Property*

In a parallelogram:

Opposite sides are equal.

Since, the given figure is a parallelogram we can apply this property and equate:

1) 2y + 1 = 13

subtracting 1 from both sides:

=> 2y + 1 - 1 = 13 - 1

=> 2y = 12

dividing both sides by 2:

=> 2y/ 2 = 12/ 2

On the LHS, 2 gets canceled because it's available in the numerator as well as the denominator

On the RHS, 2 gets canceled when 12 is factorised to 6 × 2:

2) x = y + 8

We've got the value of y from equation 1).

Substituting it here:

=> x = 6 + 8

Answer:

Hence, we got the values of x and y as:

\(\mathsf{x = 14 }\\ \mathsf{ y = 6}\)

Intellectually gifted people score in the top 1 - 2percent on a standard IQ test.

From the question, we have the following parameters that can be used in our computation:

IQ of intellectual gifted people

The general rule is that

People with intellectuals are usually ranked high and the range is usually small

Next, we test the options

A. 10

The top 10% has a high range

B. 5-10

The top 10% omits people in top 5%

C. 5

The top 5% has a high range

D. 1-2

This has a small range and it is the highest

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The given problem involves a rod of length L on the x-axis, with insulated ends. Heat transfer occurs from the lateral surface into the surrounding medium at a temperature of 50°. The initial temperature of the rod is uniformly set at 100°.

To set up the boundary-value problem for the temperature u(x, t), we need to establish the governing equation, boundary conditions, and initial conditions. The temperature distribution in the rod can be described by the heat equation, given as ∂u/∂t = α∂²u/∂x², where α is the thermal diffusivity of the rod material.

For this problem, the boundary conditions state that the ends of the rod are insulated. This implies that there is no heat transfer across the boundaries, leading to the conditions u(0, t) = u(L, t) = 0.

Additionally, there is heat transfer from the lateral surface of the rod into the surrounding medium at a constant temperature of 50°. This is a convective boundary condition, and it can be expressed as α(∂u/∂x)(0, t) = α(∂u/∂x)(L, t) = h(u - 50), where h is the heat transfer coefficient.

As for the initial condition, the entire rod has an initial temperature of 100°, meaning u(x, 0) = 100 for 0 ≤ x ≤ L.

Therefore, the boundary-value problem for the temperature u(x, t) in this scenario can be summarized as follows:

∂u/∂t = α∂²u/∂x², for 0 < x < L, t > 0,

u(0, t) = u(L, t) = 0,

α(∂u/∂x)(0, t) = α(∂u/∂x)(L, t) = h(u - 50),

u(x, 0) = 100, for 0 ≤ x ≤ L.

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Answer:

Nori would have 9/12 of a bag left.

Step-by-step explanation:

she had 2 2/12 and she used 1 5/12 so you subtract them and get 9/12

Answer:

9/12 bag of apples left

Step-by-step explanation:

Turning the numbers into an improper fractions:

26/12 - 17/12 = 9/12

Answer:

x = 166°

Explanation:

|| means parallel lines.

reason:

Alternate interior angles, so has same angle measure.

Answer:

x = 166°

Step-by-step explanation:

Alternate interior angles are equal

Therefore, x = 166°

Answer:

2 wholes with 4 fourths in each whole, so there are 2\times 4 fourths in 2.

Step-by-step explanation:

Answer:

length=12; breadth=8

Step-by-step explanation:

l=w+4

w(w+4)=96

w²+4w-96=0

(w+12)(w-8)=0

width=8

length=w+4=12

Answer:

length=12; breadth=8

Step-by-step explanation:

Hope this helped have an amazing day!

Step-by-step explanation:

Given

3d² - 16dc - 12c²

Using middle term break

= 3d² - (18 - 2 )dc - 12c²

= 3d² - 18dc - 2dc - 12c²

= 3d( d - 6c) - 2c( d - 6c)

= ( d - 6c) ( 3d - 2c)

Hope it helps and have a great day onwards ❤

Answer:

= 3d² - (18 - 2 )dc - 12c²

= 3d² - 18dc - 2dc - 12c²

= 3d( d - 6c) - 2c( d - 6c)

= ( d - 6c) ( 3d - 2c)

Step-by-step explanation:

1) Estimate value of the product of 2/3 and 0.55 is, 2/3.

2) The fraction part is, 55 / 100

3) The product of the two numbers is, 11/30

We have to given that,

Estimate the product of 2/3 and 0.55.

And, Convert the decimal 0.55 to a fraction.

And, The product of the two numbers.

Now,

Estimate the product of 2/3 and 0.55,

So, we can round 0.55 to the nearest whole number, which is 1.

Then, multiply 2/3 by 1 to get an estimate of the product.

so, The correct answer is 2/3.

Now, we can convert the decimal 0.55 to a fraction,

= 0.55

= 55/100

= 11/20

Thus,  The correct answer is, 55/100.

And,  the product of 2/3 and 0.55,

= 2/3 x 55/100

= 110/300

= 11/30.

Hence, The correct answer is, 110/300 or 11/30

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The option (D) some substances must dissolve into water to move into and out of a cell​ is not a result of water being a polar molecule

The water molecules contains

The oxygen atoms have a slight negative charge, while the hydrogen atoms have a slight positive charge.

Because of the opposite charges in water (i.e. negative charge in oxygen and positive charge in hydrogen), the water molecules stick and stay together.

Hence. option (D) is not a result of water being a polar molecule

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definition of a kite is option c

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Answer:

W=4 l=16

Step-by-step explanation:

Let w = width

Let l = length

Since the length is 4 times the width, l=4w

Perimeter of rectangle = 2l + 2w

= 2(4w)+2w

=10w

The perimeter of the rectangle =40, so

40=10w and w=4

Plug w into the length equation : l=4w=4(4)=16

Answer:

2nd one

Step-by-step explanation:

it's more than 90°

Answer:

it's obtuse

Step-by-step explanation:

beacuse obtuse angle means more than 90 but less than 180 and this is like around 130 to 150, if I'm not wrong.

Required statement is Zeke's account will have a higher balance due to his larger initial deposit of $1,000 compared to Amy's initial deposit of $20.

Zeke's account will earn more interest than Amy's account over time, even though their interest rates and monthly deposits are the same. This is because Zeke initially deposited a larger amount of money. The interest earned on his $1,000 deposit will be greater than the interest earned on Amy's $20 deposit. However, if they continue to make the same monthly deposits and keep the accounts for a long period of time, the difference in interest earned will become less significant. Overall, it's important to consider both the initial deposit and the length of time the account is open when comparing savings accounts.

Hi! I'm happy to help you compare Zeke and Amy's savings accounts. To answer your question, both Zeke and Amy have the same interest rates and monthly deposits for their accounts. Zeke initially deposits $1,000, while Amy initially deposits $20.

The correct statement comparing their accounts is: Although Zeke and Amy's accounts have the same interest rates and monthly deposits, Zeke's account will have a higher balance due to his larger initial deposit of $1,000 compared to Amy's initial deposit of $20.

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In triangle ABC, with M as the midpoint of side BC, and D as a point on side BC such that ∠DAB < ∠ABC, we can explore the properties and relationships between the angles and sides of the triangle.

Triangle ABC is a geometric figure with three sides (AB, BC, CA) and three angles (∠ABC, ∠BCA, ∠CAB). The midpoint of side BC is denoted as M.

A point D is located on side BC such that ∠DAB < ∠ABC, indicating that ∠DAB is smaller than ∠ABC.

The information provided allows us to infer certain relationships in the triangle.

Since M is the midpoint of BC, it divides side BC into two equal segments, MB and MC. This means that BM = MC.

The fact that ∠DAB < ∠ABC implies that angle DAB is smaller than angle ABC.

However, without additional information or specific measurements, we cannot determine the exact relationship between the sides and angles of the triangle or make further conclusions about its properties.

To fully analyze the triangle and its properties, additional information or specific measurements of angles and sides would be necessary.

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Answer:

hello there I am from India!

Answer:

one dvd costs $21

According to the liquidity preference hypothesis, the expected forward rate in the third year when ∆ is 1% is 12.18%, and the yield to maturity on a three-year zero-coupon bond is 10.35%.

According to the liquidity preference hypothesis, the interest rate for a long-term investment is expected to be equal to the average short-term interest rate over the investment period. In this case, the expected forward rate for the third year is stated as 4.28%.

To calculate the expected forward rate for the third year, we first need to calculate the prices of zero-coupon bonds for each year. Let's start by calculating the price of a four-year zero-coupon bond, which is determined to be $731.74.

The rate of return on a four-year zero-coupon bond is then calculated as follows:

Rate of return = (1000 - 731.74) / 731.74 = 0.3661 = 36.61%.

Next, we use the yield of the four-year zero-coupon bond to calculate the price of a three-year zero-coupon bond, which is found to be $526.64.

The expected rate in the third year can be calculated using the formula:

Expected forward rate for year 3 = (Price of 1-year bond) / (Price of 2-year bond) - 1

By substituting the values, we find:

Expected forward rate for year 3 = ($959.63 / $865.20) - 1 = 0.1088 or 10.88%

If ∆ (delta) is 1%, we can calculate the expected forward rate in the third year as follows:

Expected forward rate for year 3 = (1 + 0.1088) × (1 + 0.01) - 1 = 0.1218 or 12.18%

Therefore, according to the liquidity preference hypothesis, the expected forward rate in the third year, when ∆ is 1%, is 12.18%.

Additionally, the yield to maturity on a three-year zero-coupon bond can be calculated using the formula:

Yield to maturity = (1000 / Price of bond)^(1/n) - 1

Substituting the values, we find:

Yield to maturity = (1000 / $526.64)^(1/3) - 1 = 0.1035 or 10.35%

Hence, the yield to maturity on a three-year zero-coupon bond is 10.35%.

In conclusion, according to the liquidity preference hypothesis, the expected forward rate in the third year when ∆ is 1% is 12.18%, and the yield to maturity on a three-year zero-coupon bond is 10.35%.

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Answer:

sorry this question is confusing

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

4 x 2.8 x 2 x 2 = 44.8

The order of visit for DFS and BFS will differ based on the structure of the graph or tree and the starting node. DFS will typically visit nodes in a deeper order, while BFS will visit nodes in a breadth-first order.

Both  algorithm depth-first search and algorithm breadth-first search are used to traverse or search a graph or tree data structure. The difference between them lies in their traversal strategy.
Depth-first search (DFS) starts at a root node and explores as far as possible along each branch before backtracking. It follows a content-loaded algorithm, meaning that it prioritizes exploring deeper into the structure before considering other branches. In terms of visit order, DFS starts at the root node, then moves to its first child node, and continues to explore its descendants until it reaches a leaf node. Once it has visited all descendants of the current node, it backtracks to the previous node and repeats the process until it has visited all nodes.
On the other hand, breadth-first search (BFS) starts at the root node and explores all the neighboring nodes at the current depth level before moving on to the next depth level. It follows a breadth-first algorithm, meaning that it prioritizes exploring all nodes at a given depth level before moving on to deeper levels. In terms of visit order, BFS visits all nodes at a given depth level before moving on to the next level.

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a) 1.. Transactions motive or Md

2. Speculative motive or Md

3. Precautionary motive or Md

b) Money × Velocity = Price × Transactions or, M × V = P × T.

c) Impact velocity support at the moment of impact.

a) The three motives of money demand according to Keynes are:

1.. Transactions motive or Md

2. Speculative motive or Md

3. Precautionary motive or Md

b) The more money they need for such transactions, the more money they hold. The relation between transactions and money is expressed in equation, called the quantity equation:

Money × Velocity = Price × Transactions or, M × V = P × T.

c) The velocity of money is a measurement of the rate at which money is exchanged in an economy. It is the number of times that money moves from one entity to another. Impact velocity is the velocity of the striker relative to the support at the moment of impact.

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Answer:

  0 < m < 4-√12 ≈ 0.535898

Step-by-step explanation:

You want to know the range of values of m that will give |(x-1)(x-3)| = mx four distinct solutions.

The quadratic function f(x) = (x -1)(x -3) will be negative for values of x between the zeros: 1 < x < 3. Hence the absolute value function will invert the graph in that interval, as shown by the red curve in the attachment.

The line y = mx can only intersect that graph in 4 places in the first quadrant. The value of m must be greater than 0 and less than 1.

The upper limit of the slope will be defined by the value of m that makes the line intersect the inverted quadratic exactly once. That is, the discriminant of mx -(-f(x)) = 0 will be zero.

  mx +(x -1)(x -3) = x² +(m -4)x +3 = 0

  D = (m -4)² -4(1)(3) = (m -4)² -12 = 0

Solving for m gives ...

  (m -4)² = 12

  m -4 = ±√12

  m = 4 ±√12 ≈ 0.54 or 7.46

We can see from the attached graph that m ≈ 7.46 is an extraneous solution. This means the range of m will be ...

  0 < m < 4-√12

As per the question, the following presumptions need to be true in order to run the binomial test for a population proportion:

a) A simple random sample (SRS) drawn from the population of interest must be used to gather the data. The sample's observations must be unrelated to one another. A binary answer variable is required (i.e., it can only take on two possible values, such as "success" and "failure").

The Central Limit Theorem must be applicable, hence the sample size must be sufficient (i.e., np and nq must both be greater than 5, where p is the proportion of successes in the population and q is the proportion of failures in the population).

From the facts given, it is unclear whether these presumptions are true. In example, it is unclear whether the observations are independent or whether the data was gathered from a straightforward random sample.

b) For this test, the following alternative and null hypotheses are presented:

The actual percentage of female students at ACME University is 0.64, which is null. Alternately, the actual percentage of female students at ACME University is less than 0.64.

c) The p-value must be determined before the binomial test can be run at the = 7% significance level. A statistical software program or a binomial test calculator can be used for this.

The p-value for this test is 0.05309 assuming the binomial test assumptions are met. This suggests that there is a 5.3% chance of generating a sample proportion as little as or smaller than the one seen in the survey if the null hypothesis is true (i.e., the true proportion of women among ACME University students is 0.64).

We can reject the null hypothesis in favor of the alternative hypothesis because the p-value is smaller than the significant level (0.05309 0.07). In other words, we can infer that the actual percentage of female students at ACME University is less than 0.64.

d) Our findings would remain unchanged if the significance criterion was raised to 5%. Because the p-value is still below the significance level (0.05309 0.05), the alternative hypothesis would still be accepted instead of the null hypothesis.

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Answer:

The correct answer is: 2. t=0.45a

Step-by-step explanation:

Let t be the price of apples

and a be the number of apples

The price and quantity are directly proportional

\(t \propto a\)

Removing the proportionality symbol introduces a proportionality constant in the equation

\(t = ka\)

So far we know that cost of 6 apples is $2.70

Putting in the equation

\(2.70 = k (6)\\k = \frac{2.70}{6}\\k = 0.45\)

Putting the values of k will give us:

\(t = 0.45a\)

Hence,

The correct answer is: 2. t=0.45a