is the set of all 2x2 upper triangular matrices a vector space?

Answer:

yes,yes,yes,no :) hope it helps

Step-by-step explanation:

Answer:

1. Yes

2. No

Definition of a Polygon: a plane figure with at least three straight sides and angles, and typically five or more.

Answer:

i guess you multiply 3and 30good lu8ck

Step-by-step explanation:

Answer:

3x+30=90 complementary

3x=90-30

x=60/3=20

x=20° is your answer

Answer:

I think the volume of the figure is 60 but I'm not 100 % sure

Step-by-step explanation:

I belive the formula for this figure was (a+b)xh/(2)

So 40x 3 = 120

120/2 = 60

Answer:

32x

Step-by-step explanation: 4(8x)=32x

The sequence continues as follows:2, 5, 11, 21, 36, 67, ...

Given sequence2 5 11 21 36...

First differences 3 6 10 15...

Second differences 3 4 5...

Third differences 1 1...

The third differences are constant, which means that we can use a cubic polynomial for the fitting.

The formula for a cubic polynomial is

an³ + b

n² + c

n + d

Let us denote the nth term of the sequence by fn. Then, we have

f1 = 2, f2 = 5, f3 = 11, f4 = 21, f5 = 36...

We can write a system of equations using the first four terms of the sequence.

2 = a + b + c + d

5 = 8a + 4b + 2c + d

11 = 27a + 9b + 3c + d

21 = 64a + 16b + 4c + d

Solving this system, we get a = 1/3, b = 1, c = 11/3, and d = 0.

Thus, the closed-form expression for the nth term of the sequence isf(n) = (1/3)n³ + n² + (11/3)n

The next term in the sequence is f(6) = (1/3)(6)³ + (6)² + (11/3)(6) = 67.

Therefore, the sequence continues as follows:2, 5, 11, 21, 36, 67, ...

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Answer:

5/12

Step-by-step explanation:

add 3/12 and 2/12 to get 5/12 (decimal form is .416)

Answer:5/12 pounds

Step-by-step explanation: You take the 3 and add it with the 2 and you get 5/12

[tex]\frac{3}{12}[/tex] + [tex]\frac{3}{12}[/tex] = [tex]\frac{5}{12}[/tex]

Answer:

5-8

Step-by-step explanation:

you just had to move the 8 over

An object located at the point (4, 55) on a distance time graph is later located at the point (9, 45). If distance is in metres and time is in seconds, the average speed is -2 m/s.

To calculate the average speed of an object, we need to find the total distance traveled divided by the total time taken.

Given that the object is located at the point (4, 55) initially and later located at the point (9, 45), we can determine the total distance traveled and the total time taken.

Total distance traveled = Difference in distance = 45 - 55 = -10 meters (negative because the object moved from a higher distance to a lower distance)

Total time taken = Difference in time = 9 - 4 = 5 seconds

Average speed = Total distance traveled / Total time taken = -10 meters / 5 seconds = -2 meters/second

Therefore, the average speed of the object is -2 m/s.

Option (a) -2 m/s is the correct answer.

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Inverse Laplace transform of f(s) = s³ / (s² + 6s + 13) is

[tex]f(t) = [(-3 + 2i)^{13} / (2i)] e^{(-3 + 2i)t} + [(-3 - 2i)^{13} / (-2i)] e^{(-3 - 2i)t[/tex]

The inverse Laplace transform of f(s) = s¹³ / (s² + 6s + 13) needs to be found.

To find the inverse Laplace transform, we first need to factor the denominator of f(s) using the quadratic formula:

s² + 6s + 13 = 0

s = [-6 ± √(6² - 4(1)(13))] / 2(1)

s = -3 ± 2i

Now we can rewrite f(s) as:

f(s) = s¹³ / [(s + 3 - 2i)(s + 3 + 2i)]

Using partial fraction decomposition, we can write:

f(s) = A / (s + 3 - 2i) + B / (s + 3 + 2i)

where A and B are constants to be determined. Multiplying both sides by the denominator, we get:

s¹³ = A(s + 3 + 2i) + B(s + 3 - 2i)

Substituting s = -3 + 2i, we get:

(-3 + 2i)¹³ = A(2i)

Solving for A, we get:

A = (-3 + 2i)¹³ / (2i)

Similarly, substituting s = -3 - 2i, we can solve for B:

B = (-3 - 2i)¹³ / (-2i)

Now we can write f(s) as:

f(s) = [(-3 + 2i)¹³ / (2i)] / (s + 3 - 2i) + [(-3 - 2i)¹³ / (-2i)] / (s + 3 + 2i)

Taking the inverse Laplace transform of each term separately using the table of Laplace transforms, we get the final answer:

[tex]f(t) = [(-3 + 2i)^{13} / (2i)] e^{(-3 + 2i)t} + [(-3 - 2i)^{13} / (-2i)] e^{(-3 - 2i)t[/tex]

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The given question is incomplete, the complete question is below

Find the inverse Laplace transform. f(s) = s¹³ / (s² + 6s + 13)

Answer:

Other dude is correct

Step-by-step explanation:

The response to your graduate student's objection of taking multiple samples from each animal cannot increase statistical power is:

You should respond by saying that taking multiple samples from each animal is a well-known strategy for increasing statistical power.

In addition, increasing the number of observations per group improves the statistical test's accuracy and reliability.

The statistical test that one would use in this instance is the One-way ANOVA, or one-factor ANOVA.

A statistical test that can be used in this instance is the One-way ANOVA, or one-factor ANOVA.

This statistical test is a method used to determine if the average or mean of a numerical variable varies significantly between two or more groups of interest.

For this statistical test, it is best to use multiple samples to increase statistical power.

In addition, ANOVA is used to compare three or more sets of data for statistical significance by testing for variances.

ANOVA's null hypothesis is that all populations are equal, while the alternative hypothesis is that at least one population is different from the others.

The response to your graduate student's objection of taking multiple samples from each animal cannot increase statistical power is:

You should respond by saying that taking multiple samples from each animal is a well-known strategy for increasing statistical power.

In addition, increasing the number of observations per group improves the statistical test's accuracy and reliability.

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Answer:

Choice B - (1.02)

Step-by-step explanation:

With the teachers starting salary being $40,000, we can rightfully assume that it their salary would not increase with Choice A, $40,000 * 0.2 = $800.

2% otherwise known as 0.02, would make the teachers yearly salary $40,000 * 1 + 0.02, or $40,000 * 1.02. Making the correct answer, Choice B - (1.02). (This would also give the teacher an additional $800 per year!)

The graph of this function begins at 5 and moves down to 2 and back to 5 again in a repeated pattern over one period of 1.

A cosine function is a periodic function that fluctuates about its midline and follows a predictable pattern. The formula for a cosine function with a midline of y = c, amplitude of a, and period of b is:y = a cos(bx) + cTo shift the graph of a cosine function,

you can add or subtract a value inside the parentheses of the formula, which results in a horizontal shift.

The shift is to the right if you add, and to the left if you subtract.In this instance,

the cosine function has the following characteristics:Midline = y = 5Amplitude = 3Period = 1Horizontal shift to the right = 1/4We'll have to adjust the formula to include all of these parameters.

First and foremost, let's figure out the function's frequency, which is determined by dividing 2π by the period of the cosine function. In this example, the frequency is 2π/1, which equals 2π.

y = a cos(bx) + c is the formula we'll use. We'll substitute the values given into the formula. The resulting formula is:y = 3cos(2π(x - 1/4)) + 5This is the cosine function with a midline of y = 5, an amplitude of 3, a period of 1, and a horizontal shift of 1/4 to the right.

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Answer:

126+111+43+8=288

360-288=72

72÷12=6

x=6

Answer:  

x=6

Step-by-step explanation:

Step by step explaination attached below.

Answer:

Circumference ~ 233.7

Step-by-step explanation:

Use the distance formula to find the radius of the circle with the two coordinates given. The radius of this circle is about 37.2. Plug 37.2 into the formula 2(pi)r to find the Circumference. The answer is 233.7 rounded to the nearest tenth.

The confidence interval using a 90% confidence level is (1.601, 1.819)

Confidence Interval = Sample Mean ± Margin of Error

Given the parameters:

Sample Mean (x) = 1.71

Population Standard Deviation (σ) = 0.86

Sample Size (n) = 170

Confidence Level = 90%

The standard Error(SE) is given by:

SE = σ / √n

SE = 0.86 / √170 ≈ 0.0663

The margin of Error is related to standard error by the relation:

ME = Z × SE

ME = 1.645 × 0.0663 ≈ 0.109

Confidence Interval = Sample Mean ± Margin of Error

Confidence Interval = 1.71 ± 0.109

Confidence Interval= (1.601, 1.819)

A decrease in sample size from 170 to 120 would lead to increase in error margin , since decrease in sample size will increase the standard error.

If confidence interval were raised from 90% to 95% , the error margin would be larger since increase in confidence interval would increase the critical value

Based on the confidence interval , it is very likely that the mean number of personal computers is greater than 1.

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Answer: 11 units

Step-by-step explanation:

-3 and 3 are 6 units apart, so that would be 6 units, and when you add the -5 into the problem, the 6 units become 11 units. Hope this helped :)

Answer:

Exact Form:

√ 61

Decimal Form:

7.81024967 …

Answer:

The measure of the inscribed angle is [tex]40^{\circ}[/tex]

Step-by-step explanation:

Recall that the measure of the inscribed angle is one-half the measure of the central angle subtended by the same arc.

So, if the measure of the central angle is [tex]80^{\circ}[/tex], so the measure of the corresponding inscribed angle is:

[tex]\frac{1}{2}\times 80^{\circ}=40^{\circ}[/tex]

Answer: 220 miles

Step-by-step explanation:

Car goes 55 miles in 1 hour.  

Constant speed.  

Formula is 55t = d.  

55 x 4 = 220 miles

Answer:

the guy above is right

Step-by-step explanation:

Sherri has 35 apps on her phone and Bill has 64 apps on his phone.

Let's represent Sherri’s apps with x.

Then, the number of Bill's apps will be x+29 (since he has 29 more apps than Sherri).

Their total number of apps is 99.Thus, the mathematical equation is:x + (x+29) = 99

Simplifying this equation gives:2x + 29 = 99

Subtracting 29 from both sides of the equation gives:2x = 70

Dividing both sides by 2 gives:x = 35

This means Sherri has 35 apps on her phone.

Substituting that into x+29 gives:35+29 = 64

Therefore, Bill has 64 apps on his phone.

Hence, each person has Sherri has 35 apps on her phone and Bill has 64 apps on his phone. The total number of apps between the two of them is 99 apps.

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The transitions are labeled with the input symbol, the symbol to be pushed onto the stack (ε indicates no symbol is pushed), and the symbol to be popped from the stack (ε indicates no symbol is popped).This PDA accepts strings in L where the number of 'a's is twice the number of 'b's.

To draw the state diagram of a PDA that accepts the language L = {w ∈ {a, b}^∗ | w has twice as many a's as b's}, we can design a simple PDA with two states.

State 1: Initial state

Transition: (a, ε, a) -> State 1

Transition: (b, a, ε) -> State 2

Transition: (ε, ε, ε) -> Accepting state

State 2: Secondary state

Transition: (b, a, ε) -> State 2

Transition: (ε, ε, ε) -> Accepting state

Accepting state: Final state to indicate that the input string is accepted.

Here is the state diagram representation of the PDA:

Note: Find the attached image for the state diagram representation of the PDA.

In this PDA, State 1 is the initial state, and State 2 is the secondary state. The transitions are labeled with the input symbol, the symbol to be pushed onto the stack (ε indicates no symbol is pushed), and the symbol to be popped from the stack (ε indicates no symbol is popped).

The PDA works as follows:

This PDA accepts strings in L where the number of 'a's is twice the number of 'b's.

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1) Play

2)Dribble

3)Paint

4)Center

5)Assists

6)Perimeter

7)Benchwarmer

8)Aboard

9)Technical

10)Rebound

11)Penalty

12)screen

13)Overtime

14)guard

15)? Host

16)Quarter

17) Bounce

18)Swish

19)Halftime

20)Backcourt

Answer:

1.The two major types of metal electrical cable are:

A.wire and fibre

2. What are the most common forms of wireless connection?

C.Radio news

3. Wi-fi connections have limited range of :

D.300 metres

A differential equation is an equation involving a differentiable function, which is a critical tool in modeling physical phenomena like population growth, radioactive decay, and fluid flow.

A differential equation is an equation that involves a differentiable function. It is an equation in which the variables' derivatives appear. Differential equations are used to model physical phenomena like population growth, radioactive decay, and fluid flow. The order of a differential equation is the highest order of the derivative of the function. A first-order differential equation has the highest order of 1, and a second-order differential equation has the highest order of 2.A differential equation can be classified into three types: Ordinary Differential Equations (ODEs), Partial Differential Equations (PDEs), and Differential Algebraic Equations (DAEs). Ordinary differential equations have a single independent variable and one or more dependent variables that depend on it. Partial differential equations have more than one independent variable and multiple dependent variables that depend on each other. Differential algebraic equations have both derivatives and algebraic equations in them.A differential equation is essential in physics, engineering, and mathematics. It is used to model many natural phenomena and helps in predicting the future. Most differential equations can not be solved analytically, so numerical methods are used to find approximate solutions. In conclusion, A differential equation is an equation involving a differentiable function, which is a critical tool in modeling physical phenomena like population growth, radioactive decay, and fluid flow.

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Newton has just gone grocery shopping. The mean cost for each item in his bag was $3.38. The price of the 6th item in his bag is $1.64

To determine the price of the 6th item in Newton's bag, we can use the concept of the mean (average). We know that the mean cost for each item in his bag is $3.38, and he bought a total of 6 items.

To find the sum of all 6 item prices, we can multiply the mean cost by the total number of items:

Sum of all item prices = Mean cost * Total number of items

                                    = $3.38 * 6

                                    = $20.28

We also know the prices of 5 of the items, which are $4.09, $4.03, $4.19, $2.24, and $4.09.

To determine the price of the 6th item, we subtract the sum of the known prices from the sum of all item prices:

Price of the 6th item = Sum of all item prices - Sum of known prices

= $20.28 - ($4.09 + $4.03 + $4.19 + $2.24 + $4.09)

= $20.28 - $18.64

= $1.64

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Answer:

rectangular prisim

Step-by-step explanation:

Answer:

rectangular prism

Step-by-step explanation:

rectangle shaped box

Answer:

exponential growth or exponential decay , and what ... The value of a car purchased for $20,000 decreases ... population, P, increases by 20%each year,