He fills the pencil holder with sand before he wraps it to make it feel like a heavy, expensive gift. How much sand will he need to "borrow" from his sister's sandbox to fill the pencil holder? *
1 point
a) 21 cubic inches
b) 7.5 cubic inches
c) 9.375 cubic inches
d) 10.5 cubic inches
e) 15 cubic inches
NEEEED help ASAP please!

a) Causal, memoryless, linear, time-invariant.

b) Causal, memoryless, linear, time-invariant.

c) Causal, memoryless, nonlinear, time-invariant.

d) Causal, has memory, nonlinear, time-invariant.

a) The system described by y[n] = x[n] + 2x[n+1] is causal because the output value at any time index n only depends on the current and past input values. It is memoryless since the output at a given time index n does not depend on any past or future inputs. The system is linear because the output is a linear combination of the input values. It is also time-invariant because the system's behavior remains unchanged over time.

b) The system y[n] = u[n]x[n] is causal since the output at any time index n only depends on the current and past input values. It is memoryless because the output at a given time index n does not depend on any past or future inputs. The system is linear because the output is a product of the input signal and a constant. It is also time-invariant because the system's behavior remains unchanged over time.

c) The system y[n] = |x[n]| is causal since the output at any time index n only depends on the current and past input values. It is memoryless because the output at a given time index n does not depend on any past or future inputs. The system is nonlinear because the absolute value operation is a nonlinear operation. It is time-invariant because the system's behavior remains unchanged over time.

d) The system y[n] = ∑(0.5)^n x[i] for i=0 to n is causal since the output at any time index n only depends on the current and past input values. It has memory because the output at a given time index n depends on all past input values up to the current time index. The system is nonlinear because the output is a sum of terms raised to a power, which is a nonlinear operation. It is time-invariant because the system's behavior remains unchanged over time.

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Answer:

m= -29

Step-by-step explanation:

This is a bit of a complex equation, but let's work through it.

2/3 (m-1/2) +3= m/3-7

First, we need to distribute the 2/3.

(2/3)(m)+(2/3)(−1/2)+3=m/3+−7

Now we simplify that.

2/3m+−1/3+3=1/3m+−7

We can now combine like terms.

2/3m+8/3=1/3m+−7

The goal is to isolate the variable, so we should subtract 1/3m from both sides.

1/3m+8/3=−7

Lets keep going! We can subtract 8/3 from both sides.

1/3m=-29/3

Well now we know what 1/3 of m is, but we want to know what m is. So we can multiply both sides by three to finally find out what m is!

m=-29

We did it! m=-29

The first three pseudorandom numbers generated by the given relation are: a) R1 = 1, b) R2 = 7, c) R3 = 1.

Explanation: We start with the seed value R0 = 3. Using the given relation Rn+1 = (5Rn + 2) mod 9, we can calculate the subsequent values of Rn.

a) To find R1:

R1 = (5R0 + 2) mod 9 = (5 * 3 + 2) mod 9 = 15 mod 9 = 1

b) To find R2:

R2 = (5R1 + 2) mod 9 = (5 * 1 + 2) mod 9 = 7

c) To find R3:

R3 = (5R2 + 2) mod 9 = (5 * 7 + 2) mod 9 = 37 mod 9 = 1

Therefore, the first three pseudorandom numbers generated are: R1 = 1, R2 = 7, and R3 = 1.


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Net present value is a measure of profitability. The NPV of an investment is the net cash inflow received over the project's life, less the initial cash outflow, adjusted for the time value of money.

A higher NPV means the project is more lucrative. The profitability index measures the benefit-cost ratio of a project and is calculated by dividing the present value of future cash flows by the initial cash outflow. A profitability index greater than one indicates that the project will be profitable, whereas a profitability index less than one indicates that the project will not be profitable.

Calculation of Net Present Value (NPV) of Project AInitial Outlay = $454,000Net annual cash flows = $68,000Discount Rate = 9%Use the PV of an annuity of $1 table to determine the PV of net cash flows.Using the formula for NPV,NPV of Project A = PV of net cash flows – Initial OutlayNPV of Project A = 68,000 × 7.63930 – 454,000NPV of Project A = $56,201.85Calculation of Profitability Index of Project AProfitability Index of Project A = Present value of future cash flows / Initial OutlayProfitability Index of Project A = 68,000 × 7.63930 / 454,000Profitability Index of Project A = 1.14

Calculation of Net Present Value (NPV) of Project BInitial Outlay = $300,000Net annual cash flows = $47,000Discount Rate = 9%Use the PV of an annuity of $1 table to determine the PV of net cash flows.Using the formula for NPV,NPV of Project B = PV of net cash flows – Initial OutlayNPV of Project B = 47,000 × 6.10338 – 300,000NPV of Project B = $37,100.86Calculation of Profitability Index of Project BProfitability Index of Project B = Present value of future cash flows / Initial OutlayProfitability Index of Project B = 47,000 × 6.10338 / 300,000Profitability Index of Project B = 0.96

The NPV and profitability index calculations show that project A is the better investment since it has a higher NPV and profitability index than project B.

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Answer:

Step-by-step explanation:

One of the Answers is C

Answer:

The answer is Thirty Six (36)

Answer:

36 g

Step-by-step explanation:

Answer:

1152

Step-by-step explanation:

Some information that someone might use to solve problems related to a circle design is the Tangent Arc theorem.

The tangent arc theorem states that if an angle is formed by two secants, one secant, one tangent, or two tangents, and also intersects in a space outside of the circle, then the value obtained will be equal to the difference of the values of the intercepted arcs divided by one and a half.

Also, note that angles outside a circle are those whose vertex or arc is pointed outwards and their sides are either secants or tangents. With this information, it will be possible to solve problems related to tangent lines and arc measures.

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Answer:

Your correct answer would be D.

Step-by-step explanation:

Answer:

The answer is D. Greg has 6 pounds of grapes that he wants to divide into pound bags.

Step-by-step explanation:

pls like!!

To determine the drag on the 1-m-diameter circular disk, we need to first find the area of the disk, which is A = πr^2 = π(0.5m)^2 = 0.785m^2. Using the right endpoint approximation, we can approximate the pressure at each segment as the pressure at the right endpoint of the segment. Then, we can calculate the force on each segment by multiplying the pressure by the area of the segment. Finally, we can sum up all the forces on the segments to find the total drag on the disk. The calculation yields a drag force of approximately 263.4 N.

The right endpoint approximation is a method used to approximate the value of a function at a particular point by using the value of the function at the right endpoint of an interval. In this case, we can use this method to approximate the pressure at each segment of the disk by using the pressure value at the right endpoint of the segment. We then multiply each pressure value by the area of the corresponding segment to find the force on that segment. Summing up all the forces on the segments will give us the total drag force on the disk.

In summary, to determine the drag on the circular disk given the pressure distribution, we need to use the right endpoint approximation to approximate the pressure at each segment of the disk. We then find the force on each segment by multiplying the pressure by the area of the segment and summing up all the forces on the segments to obtain the total drag force on the disk.

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Answer:

3.8

Step-by-step explanation:

The mean of this set is

4+2+4+4+5/5, which is 19/5.

Therefore, the answer is 3.8

Feel free to tell me if I did anything wrong! :)

A. N, B ≥ 0 (non-negativity constraint)

B. The recommended investment portfolio (in dollars) for this client can be found by reading the values in cells A1 and B1.

C.  You can solve for the recommended investment portfolio (in dollars) by reading the values in cells A1 and B1.

D. You can solve for the recommended investment portfolio (in dollars) by reading the values in cells A1 and B1.

(a)

The linear programming model to find the best investment strategy for this client can be formulated as follows:

Maximize: 0.09N + 0.08B

Subject to:

N + B ≤ 85 (maximum investment of $85,000)

N ≤ 55 (maximum investment of $55,000 in the internet fund)

6N + 4B ≤ 410 (maximum risk rating of 410 for a moderate investor)

N, B ≥ 0 (non-negativity constraint)

(b)

To solve the problem using Excel Solver, you can set up the following spreadsheet model:

Cell A1: N (amount invested in the internet fund)

Cell B1: B (amount invested in the Blue Chip fund)

Cell C1: =0.09A1 + 0.08B1 (annual return for the portfolio)

Constraints:

Cell A2: ≤ 85

Cell B2: ≤ 85

Cell C2: ≤ 55

Cell D2: ≤ 410

The objective is to maximize the value in cell C1 by changing the values in cells A1 and B1, subject to the constraints.

Using Excel Solver, set the objective to maximize the value in cell C1 by changing the values in cells A1 and B1, subject to the constraints in cells A2, B2, C2, and D2.

The recommended investment portfolio (in dollars) for this client can be found by reading the values in cells A1 and B1.

(b)

For the aggressive investor with a maximum portfolio risk rating of 450, the linear programming model remains the same, except for the constraint on the maximum risk rating.

The new constraint would be: 6N + 4B ≤ 450

Using the same spreadsheet model as before, with the updated constraint, you can solve for the recommended investment portfolio (in dollars) by reading the values in cells A1 and B1.

(d)

For the conservative investor with a maximum portfolio risk rating of 320, the linear programming model remains the same, except for the constraint on the maximum risk rating.

The new constraint would be: 6N + 4B ≤ 320

Using the same spreadsheet model as before, with the updated constraint, you can solve for the recommended investment portfolio (in dollars) by reading the values in cells A1 and B1.

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Check the picture below.

\(52x=\cfrac{154-50x}{2}\implies 104x=154-50x\implies 154x=154\implies x=\cfrac{154}{154} \\\\\\ x=1\hspace{9em}\stackrel{ 50(1) }{\widehat{SU}=50^o}\)

Declan's reasoning does make sense. This is because 3/4 and 1/2 have the same denominator, and 3/4 is a larger fraction than 1/2.

Therefore, it is reasonable to assume that 3/4 is greater than 6/12 because 6/12 simplifies to 1/2. Simplifying fractions means dividing the numerator and denominator by the same number, in this case, 6 is divisible by 2, so we can reduce the fraction to 1/2.

So, Declan is correct in his reasoning that 3/4 is greater than 6/12. It is important to understand the relationship between fractions and their denominators to make such comparisons accurately.

3/4 = 9/12

1/2 = 6/12

6/12 = 6/12

Since 9/12 (which is equivalent to 3/4) is greater than 6/12 (which is equivalent to 1/2), we can say that 3/4 is indeed greater than 6/12.

Therefore, Declan's reasoning is correct.

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If the meniscus is on 6. Then the reading will be 6 mL which is 2 decimal places.

A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.

Look carefully at the markings on a 10ml graduated cylinder.

Referring back to your experience with the rulers.

Then the number of the decimal places will this measuring device provide will be

Normally the 10-mL graduated cylinders are always read to 2 decimal places.

A. If the bottom of the meniscus is directly on 6, then the reading will be 6.00 mL i.e. 2 decimal places.

B. If the bottom of the meniscus is directly on the third line after 6, the reading will be 6.60 i.e. 2 decimal places.

C. If the bottom of the meniscus is between the third and fourth; line after 6, we can take a middle value between 6.60 and 6.80. Reading could be 6.70. Here also 2 decimal places are used.

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(a) Given x = 9 and dx/dt = 2, dy/dt can be found by substituting the values into the derivative of y with respect to t, which is dy/dt = (dy/dx)(dx/dt). (b) Given x = 25 and dy/dt = 8, dx/dt can be found by substituting  derivative of x with respect to t, which is dx/dt = (dx/dy)(dy/dt).

(a) To find dy/dt, we can use the chain rule of differentiation. Since y = √x, we have dy/dx = 1/(2√x). Given x = 9 and dx/dt = 2, we can substitute these values into the derivative formula: dy/dt = (dy/dx)(dx/dt) = (1/(2√9))(2) = 1/3.

(b) To find dx/dt, we can rearrange the equation y = √x as x = y^2. Differentiating both sides with respect to t, we get dx/dt = (dx/dy)(dy/dt). Given x = 25 and dy/dt = 8, we can substitute these values into the derivative formula: dx/dt = (dx/dy)(dy/dt) = (2y)(8) = 16y. Since y = √x, we can substitute y = √25 = 5, yielding dx/dt = 16(5) = 80.

Therefore, (a) dy/dt = 1/3 and (b) dx/dt = 80.

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Answer:

3. 16800

4. 42

Step-by-step explanation:

3. 400*42 = 16800

4. h = \(\frac{336-840}{-12}\) = 42

Answer:

$9$

Step-by-step explanation:

Given: Thea enters a positive integer into her calculator, then squares it, then presses the $\textcolor{blue}{\bf\circledast}$ key, then squares the result, then presses the $\textcolor{blue}{\bf\circledast}$ key again such that the calculator displays final number as $243$.

To find: number that Thea originally entered

Solution:

The final number is $243$.

As previously the $\textcolor{blue}{\bf\circledast}$ key was pressed,

the number before $243$ must be $324$.

As previously the number was squared, so the number before $324$ must be $18$.

As previously the $\textcolor{blue}{\bf\circledast}$ key was pressed,

the number before $18$ must be $81$

As previously the number was squared, so the number before $81$ must be $9$.

Answer:

9

Step-by-step explanation:

mn ~Jk

mn x 5/3 = 15

mn = 15 x 3/5

MM = 9

Answer:

i'm sorry if i'm wrong but I believe it's 57

Step-by-step explanation:

Answer:

47 degrees

Step-by-step explanation:

First let's find the measure of Angle CAB. We know that angles in a triangle add up to 180 so...

CAB+ACB+ABC=180

CAB+80+57=180

CAB+137=180

CAB=43

We also know that DAB is equivalent to 90 degrees as DAE and DAB are a linear pair which means they add up to 180 degrees. Since DAE is a right angle, DAB also has to be a right angle.

We can use DAB and CAB to find DAC:

DAC+CAB=DAB

DAC+43=90

DAC=47 degrees

Answer:

distance: 2

midpoint: -4,-3

>= means greater than or equal to

<= means less than or equal to

---------------------------------------------

Part A

The graph of y >= -3x+3 will have a solid boundary line and the shading will be above the boundary line.

The boundary line y = -3x+3 has a negative slope so it moves down as you read it from left to right. It goes through the points (0,3) and (1,0)

--------------

The graph of y < (3/2)x - 6 will have a dashed or dotted boundary line. The shading is below the boundary.

The graph y = (3/2)x-6 goes through the two points (0,-6) and (2,-3)

--------------

If you graph both y >= -3x+3 and y < (3/2)x - 6 together, you get what you see in the attached image. This solution shaded region is the result of the overlapping prior shaded regions.  

---------------------------------------------

Part B

Plug (x,y) = (-6,3) into each inequality to see if we get a true inequality or not

For the first inequality we have

y >= -3x+3

3 >= -3*(-6)+3

3 >= 18+3

3 >= 21

which is false. The value 3 is not larger or equal to 21. So right off the bat we know that (-6,3) is NOT a solution. It is NOT in the solution region.

Let's check the other inequality just for the sake of completeness

y < (3/2)x - 6

3 < (3/2)*(-6) - 6

3 < -9 - 6

3 < -15

this is also false. The value -15 is smaller than 3, since it is to the left of 3

We're given more evidence that (-6,3) is NOT in the solution area. It is outside of both shaded areas.  

Answer:

About 5 foot 1 inch

Step-by-step explanation:

(CM!) The equation is leagnth of the femur times 2.47 +54.1= Heightx

16 in= 40.64cm

40.64 x 2.47=100.38

100.38+54.1=154.48-convert to inches

60.82 inches

To begin with, let's recall the definition of a one-to-one function. A function f: A → B is one-to-one if every element in A is mapped to a unique element in B. In other words, no two distinct elements in A are mapped to the same element in B.
Now, let's assume that f is one-to-one and even. This means that f(-x) = f(x) for all x in R. To prove that f cannot be both one-to-one and even, we will use a proof by contradiction. Suppose f is both one-to-one and even. Then, for any x and y in R, if f(x) = f(y), we must have x = y. Now, let's consider the case when x and y are negative numbers such that x ≠ y. Since f is even, we have f(-x) = f(x) and f(-y) = f(y). However, since f is one-to-one, we cannot have f(-x) = f(-y) because x and y are distinct.Therefore, f cannot be both one-to-one and even. Alternatively, we could use the contrapositive of the statement. The contrapositive of "f one-to-one => f not even" is "f even => f not one-to-one". This means that if f is even, then it cannot be one-to-one. This is true because, as we showed earlier, if f is even, there exist distinct negative numbers that are mapped to the same value, which violates the one-to-one property. In conclusion, we have shown that if a function f is one-to-one, then it cannot be even, using either a proof by contradiction or the contrapositive of the statement.

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The probability that a randomly selected persons favorite restaurant is a deli is 9/50

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

The table of values

On the table, we have

Total = 100

Deli = 18

So, the probability is

P = Deli/Total

Substitute the known values in the above equation, so, we have the following representation

P = 18/100

Simplify

P = 9/50

Hence, the probability is (d) 9/50

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Answer:

\(15\sqrt{3}i\)

Step-by-step explanation:

Negative square roots are complex numbers.

Answer:

Z' = (6, 3 )

Step-by-step explanation:

Under a reflection in the line y = x

a point (x, y ) → (y, x ) , then

Z (3, 6 ) → Z' (6, 3 )

3:5

Step-by-step explanation:

change the kilogram into gram and then divide it

Answer:

3 : 5

Step-by-step explanation:

The quantities must have the same units

1 Kg = 1000 g , then

600 : 1000 ( divide both parts by 200 )

= 3 : 5 ← in simplest form

Answer:

AAS, I believe.

Step-by-step explanation:

The triangles share the angle (where the meet), and the angles that are marked. Then, there is the sides that are marked as well. So the theorem is angle-angle-side.

Answer:

180

Step-by-step explanation:

a^2 + b^2 = c^2

(18^2)+(80^2)=6724

square root of 6724 is 82

82+18+80 = 180