Simplify |-3 - 6·2|​

The exercise involves finding the product C = AB, where matrix A is given by [2 9] and matrix B is given by [3 6 1]. We need to perform the matrix multiplication to obtain the resulting matrix C.

Let's calculate the matrix product C = AB step by step:

Matrix A has dimensions 2x1, and matrix B has dimensions 1x3. To perform the multiplication, the number of columns in A must match the number of rows in B.

In this case, both matrices satisfy this condition, so the product C = AB is defined.

Calculating AB:

AB = [23 + 912 26 + 94 21 + 95]

[103 + 612 106 + 64 101 + 65]

Simplifying the calculations:

AB = [6 + 108 12 + 36 2 + 45]

[30 + 72 60 + 24 10 + 30]

AB = [114 48 47]

[102 84 40]

Therefore, the product C = AB is:

C = [114 48 47]

[102 84 40]

In summary, the matrix product C = AB, where A = [2 9] and B = [3 6 1], is given by:

C = [114 48 47]

[102 84 40]

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Answer:

-8

Step-by-step explanation:

EDGE

(a) The height h of the cylinder in terms of π and radius r is h = (231/r) - 2r.

(b) The value of r for which the volume of the cylinder is a maximum is approximately 2.16 cm.

The formula for the total exterior surface area of a cylinder is 2πrh + 2πr², where r is the radius and h is the height. We're given that the total exterior surface area of the cylinder is 462 cm². So we can set up an equation:

2πrh + 2πr² = 462

Simplifying, we get:

πr(h + 2r) = 231

Dividing both sides by πr, we get:

h + 2r = 231/r

Multiplying both sides by r and rearranging, we get:

h = (231/r) - 2r

(b)V = πr²((231/r) - 2r)

Simplifying, we get:

V = 231πr - 2πr³

To find the value of r that maximizes V, we can take the derivative of V with respect to r and set it equal to zero:

dV/dr = 231π - 6πr² = 0

Solving for r, we get:

r² = 231/6π

r = √(231/6π)

r ≈ 2.16 cm

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The pair of numbers that maximizes the product and has a sum of 83 is (41.5, 41.5), which can be written as the fraction 83/2 in reduced form.

To determine the pair of numbers with a sum of 83 and maximum product, we can use the concept of quadratic equations.

Let the two numbers be x and y, where x + y = 83.

We want to maximize the product xy.

To do this, we can express one variable in terms of the other and then find the maximum value of the product using calculus.

From the equation x + y = 83, we can express y in terms of x as y = 83 - x.

The product of x and y is given by P(x) = x(83 - x).

To determine the maximum value of P(x), we can take the derivative of P(x) with respect to x and set it equal to zero:

P'(x) = 83 - 2x = 0

Solving this equation, we find x = 41.5.

Substituting this value back into the equation x + y = 83, we get y = 41.5.

This can be written in reduced form as the fraction 83/2 .

So, the answer is (83/2, 83/2).

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Answer:

A:y+6= -5(x-2)

C:y= -5x+4

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

h(t) = -16t^2 + 256

h(4) =0

This means at t=4 second the height above the ground is 0

At 4 seconds, the penny will hit the ground

Answer:

a = 26

Step-by-step explanation:

Solve for a:

22 = a - 4

Hint: | Reverse the equality in 22 = a - 4 in order to isolate a to the left-hand side.

22 = a - 4 is equivalent to a - 4 = 22:

a - 4 = 22

Hint: | Isolate terms with a to the left-hand side.

Add 4 to both sides:

a + (4 - 4) = 4 + 22

Hint: | Look for the difference of two identical terms.

4 - 4 = 0:

a = 22 + 4

Hint: | Evaluate 22 + 4.

22 + 4 = 26:

Answer: a = 26

Answer:

a = 26

Step-by-step explanation:

22 = a - 4 Is your starting equation.

First you have to flip the equation which means your equation should now be:

a - 4 = 22

Then add 4 to both sides, which would look like this,

a - 4 + 4 = 22 + 4

After you do that your final answer is

a = 26

Answer:

7.4

Step-by-step explanation:

If you take 55 and square root it, you will get your answer. This is because to get an area you take the 2 sides and multiply it to get the final answer and the sides are equal because it is a square.

I hope this helps

The graphs show that Function composition is not commutative. This is observed from the graph of the compositions f(g(x)) and g(f(x)), which are not symmetrical about the y-axis. In other words, the order of function composition matters.

Based on the given information, the correct statements are:

1. f(g(x)) = g(f(x)) for at least one value of x. This means that there is at least one value of x for which the compositions f(g(x)) and g(f(x)) are equal.

3. f(g(0)) = 5 and g(f(–2.5)) = 5. This indicates that when plugging in specific values, f(g(0)) and g(f(–2.5)) both evaluate to 5.

4. Both f(g(x)) and g(f(x)) have the same domain. The domain of a function refers to the set of all possible input values. In this case, both compositions have the same domain.

5. The graphs show that function composition is not commutative. This is observed from the graph of the compositions f(g(x)) and g(f(x)), which are not symmetrical about the y-axis. In other words, the order of function composition matters.

Therefore, the correct answer is: 1, 3, 4, 5.

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Answer:

The answer is 20 minutes. Trust me, I chose 20 and got it right

Answer:-12 yards

Step-by-step explanation:7 yards - 19yards

you are at 0 after you subtract 7 and you still need to subtract 12 more and that is how you get -12 subtract 12 frome 0 and you get -12

7-19=-12

Answer: -17y-16z

Step-by-step explanation:

Answer:

It's 2a + 3b + 3c :)

Answer:

a²+b³+c³

Step-by-step explanation:

a+a+b+b+b+c+c+c

The problem of the central planner is option A) max U(x) Subject to N x² = 100.

In a simple production economy with N goods, each of the goods is produced with the following production function where x is the good, the subscript i denotes the good, and L is labor.

The total work available is

100 x₁ = √L₁

Suppose that in this economy there is a representative agent with preferences given by the following utility function U(x).

The problem of the central planner is represented by the choice of option A) max U(x) Subject to

N x² = 100.

Where, to maximize the utility function of the representative agent, the central planner must allocate a certain amount of each good x1, x2, ..., xN to the representative agent that would help in maximizing his/her utility subject to the total production being constrained to

Nx² = 100.

Hence, the problem of the central planner is option A) max U(x) Subject to N x² = 100.

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The answer is shown in the picture

Answer:

Step-by-step explanation:

the idea is ratio and proportion:

 15 foot statue      =              x foot tall      

20 foot shadow               4 foot long shadow

cross multiply:

20 (x) = 15 (4)

simplify:

20 x = 60

x = 60 / 20

x = 3 feet

so the answer is C.

Answer:

Scale factor of 1/4, to go from F back to E

Step-by-step explanation:

Scale factor of E to F = 4

Since we are going backwards from F to E, we just multiply it by 1/4, or divide by 4. It is the opposite.

In order to scale figure F back to figure E, scale factor 4 should you use.

The ratio among comparable dimensions of an object and a model with that object is known as an exponent in algebra. The replica will be larger if the scale factor is a whole number. The duplicate will be lowered if the step size is a fraction.

A scale factor is a numerical value that is used to represent an object's larger or shrunk shape. It is a number that can be used to alter the size of any geometric figure or shape in relation to its initial size. It aids in altering the figure's size but not its shape.

The scale factor is obtained by the ratio of their sides,

20/5=4

8/2=4

As a result, the scale factor is 4.

Thus, In order to scale figure F back to figure E, scale factor 4 should you used.

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Answer:

h(f(x)) = 2x - 11

Step-by-step explanation:

To evaluate h(f(x)) substitute x = f(x) into h(x)

h(x - 7)

= 2(x - 7) + 3

= 2x - 14 + 3

= 2x - 11

Answer:

D

Step-by-step explanation:

We have the two linear equations:

[tex]\text{ Line 1: }y=3x+3[/tex]

[tex]\text{ Line 2: }y=-3x-5[/tex]

And we want to determine the relationship between them.

Let's go through each of the answer choices.

Parallel?

Remember that parallel lines have the same slopes.

The slope of Line 1 is 3, while the slope is Line 2 is -3.

Since they have different slopes, they are not parallel.

Perpendicular?

Perpendicular lines have slopes who are negative reciprocals of each other.

For example, the negative reciprocal of 2 will be -1/2. And the negative reciprocal of -1/2 is 2.

The slope of Line 1 is 3. The negative reciprocal of 3 is -1/3. This is not the slope of Line 2.

We can do it for Line 2 just to confirm. The slope of Line 2 is -3. The negative reciprocal of -3 is 1/3.

So, because their slopes are not negative reciprocals of each other, the two lines are not congruent.

Both?

No two lines can be both parallel and perpendicular simultaneously, so this is out of the question.

[N]either?

Yes indeed. They lines are neither parallel nor perpendicular, so this is our only choice.

And we're done!

Answer:

s = 3.75

Step-by-step explanation:

Let b = price of a burger

Let s = price of a side item

2b+s = 14.75

3b+2s = 24

Multiply the first equation by -2

-4b-2s =-29.50

Add to the second equation to eliminate s

-4b-2s =-29.50

3b+2s = 24

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

-b = -5.50

Multiply by -1

b = 5.50

Now find s

2b+s = 14.75

2*5.50 +s =14.75

11 + s = 14.75

Subtract 11 from each side

s = 14.75 -11

s = 3.75

[tex]|7x|>21\\7|x|>21\\|x|>3\\x>3 \vee x<-3\\x\in(-\infty,-3)\cup(3,\infty)[/tex]

Answer: 28

Step-by-step explanation:

The reason being you can put 420 in the calculator and divide that by the amount of students in Terrys class

The given network consists of several activities with their respective durations in weeks. The activities have dependencies on each other, and the goal is to determine the earliest start time (ES), earliest finish time (EF), latest start time (LS), latest finish time (LF), and total float for each activity.

To determine the ES, EF, LS, LF, and total float for each activity, we can use the forward pass and backward pass techniques in network analysis.

Forward Pass:

Start with the initial node, Activity A, and assign its ES as 0 since it has no predecessors.

Calculate the EF for each activity by adding the duration to its ES.

For Activity A, EF = ES + duration = 0 + 5 = 5.

For Activity B, EF = ES + duration = 0 + 8 = 8.

For Activity C, EF = ES + duration = 5 + 6 = 11.

For Activity D, EF = ES + duration = 8 + 3 = 11.

For Activity E, EF = ES + duration = 11 + 6 = 17.

For Activity F, EF = ES + duration = 17 + 6 = 23.

For Activity G, EF = ES + duration = 17 + 10 = 27.

Backward Pass:

Start with the final node, Activity G, and assign its LF as its EF since it has no successors.

Calculate the LS for each activity by subtracting its duration from its LF.

For Activity G, LS = LF - duration = 27 - 10 = 17.

For Activity F, LS = LF - duration = 23 - 6 = 17.

For Activity E, LS = LF - duration = 17 - 6 = 11.

For Activity D, LS = LF - duration = 11 - 3 = 8.

For Activity C, LS = LF - duration = 11 - 6 = 5.

For Activity B, LS = LF - duration = 8 - 8 = 0.

For Activity A, LS = LF - duration = 5 - 5 = 0.

Total Float:

Calculate the total float for each activity by subtracting its EF from its LF.

For Activity A, Total Float = LF - EF = 0 - 5 = -5.

For Activity B, Total Float = LF - EF = 0 - 8 = -8.

For Activity C, Total Float = LF - EF = 5 - 11 = -6.

For Activity D, Total Float = LF - EF = 8 - 11 = -3.

For Activity E, Total Float = LF - EF = 11 - 17 = -6.

For Activity F, Total Float = LF - EF = 17 - 23 = -6.

For Activity G, Total Float = LF - EF = 17 - 27 = -10.

The negative total float values indicate that the activities are on the critical path and any delay in their completion would result in a delay in the project completion time.

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Step-by-step explanation:

m=13 because you add the 7 to the 6 and then divide it too m

Answer:

6+7=m

13=m

m=13

Step-by-step explanation:

1. Add 7 to both sides

2. simplify 6+7 to 13

3. switch sides

Answer:

[tex]\boxed {\frac{2}{1}}[/tex]

Step-by-step explanation:

Use the rise over run to help you find the rate of change of the following graph:

[tex]\frac{rise}{run}[/tex]

Since every point shows that it is going up, then it means that the numbers you going to have are going to be positive:

Rise = [tex]2[/tex]

Run = [tex]1[/tex]

[tex]\frac{rise}{run} = \boxed {\frac{2}{1}}[/tex]

So, the rate of change is [tex]\frac{2}{1}[/tex].

a) The probability that three or fewer women would be hired is approximately 0.1719, or 17.19%. b) P(0 women) + P(2 women) + P(4 women) + P(6 women) + P(8 women) + P(10 women) c)c) The fact that fewer women were hired compared to men does not necessarily indicate evidence of discrimination.

a) The probability that three or fewer women would be hired can be calculated using the binomial distribution. Since we expect all applicants to be similarly qualified and the probability of hiring any individual is the same, we can assume a probability of success (p) of 0.5 (equal chance for men and women) and a total of ten trials (job openings). Using the binomial distribution formula, we can sum the probabilities of hiring 0, 1, 2, and 3 women:

P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

        = C(10, 0) * (0.5)^0 * (0.5)^10 + C(10, 1) * (0.5)^1 * (0.5)^9 + C(10, 2) * (0.5)^2 * (0.5)^8 + C(10, 3) * (0.5)^3 * (0.5)^7

Calculating these probabilities yields:

P(X ≤ 3) ≈ 0.1719

Therefore, the probability that three or fewer women would be hired is approximately 0.1719, or 17.19%.

b) The chance that exactly an even number of men and women are hired can also be calculated using the binomial distribution. In this case, we want to find the probabilities of hiring 0, 2, 4, 6, 8, or 10 women (an even number) and the corresponding number of men.

P(0 women) + P(2 women) + P(4 women) + P(6 women) + P(8 women) + P(10 women) Calculating these probabilities will give us the chance that an even number of men and women are hired.

c) The fact that fewer women were hired compared to men does not necessarily indicate evidence of discrimination. The probability calculations in parts a) and b) assume that all applicants are similarly qualified and that the probability of hiring any individual is equal. Therefore, differences in the number of women hired could be due to random chance rather than discrimination. To determine if there is evidence of discrimination, further analysis and consideration of other factors would be needed. It would be important to examine the hiring process, criteria used for selection, and any potential biases or barriers that could affect the hiring outcomes. Additionally, analyzing the data over a longer period of time or comparing it to external benchmarks could provide more insight into any potential discriminatory practices.

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