help !!! what is the answer ?!?!

1. Determining the number of significant figures in given measurements:

a. 143 g - It contains three significant figures since each digit is measured and identified by the observer.

b. 0.074-meter - It contains two significant figures since 0 before the first non-zero digit (7) doesn't add any value.

c. 8.750 × 10−2 g - It contains four significant figures since all the non-zero digits are significant.

Also, the scientific notation indicates that the zeros on the left side are not significant.d. 1.072 meter - It contains four significant figures since each digit represents a measured value and is essential.

2. Out of the following values, - kg, s, m, or kmSolution:In the given options, kg represents the unit of mass, s represents the unit of time, m represents the unit of length, and km represents the unit of length (kilometer).Therefore, kg is not a unit of length.

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The average value of the function f(x) = (x + 2) on the interval [0, 3] is 7/2.

Calculate the definite integral of the function over the interval [a, b], then divide it by the interval's length (b - a), in order to determine the average value of a function f(x) over the interval.

Given that the interval is [0, 3] and the function f(x) = (x + 2), we have:

= (1/3) × [1/2 x² + 2x] evaluated from x=0 to x=3

= (1/3) × [(1/2 × 3² + 2×3) - (1/20² + 20)]

= (1/3) × [(9/2 + 6) - 0]

= (1/3) × (21/2)

= 7/2

Therefore, the average value of the function f(x) = (x + 2) on the interval [0, 3] is 7/2.

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Answer:

You can you the \(y=mx+b\) formula by substituting \(16=3(5)+1\)

Step-by-step explanation:

g = groups of tennis balls

one can can hold 3 tennis balls

plus we have 1 let over

so you can use an equation  like this:

\(3g+1=\) number of tennis balls

So we know how many tennis balls fit into one can and we know the left over amount:

\(3(5) + 1 = 16\)

She had 16 tennis balls in total.

Its essentially a y=mx+b equation but replace: x with the number of cans, m with the amount of tennis balls that goes into each can, and b with the left over tennis balls.

\(y=mx+b\\y=3g+1\\y=3(5)+1\\y=15+1\\y=16\)

And y would be the amount of tennis balls we have in total.

The health club has 2 employees who work on lead generation. Each employee contacts leads for 20 hours a week and is paid $20 per hour. Approximately 8% of the leads become members and pay a one-time fee of $100. Material costs are $190 per week, and overhead costs are $1,100 per week. To analyze the productivity of the operation, we need to calculate the multifactor productivity in fees generated per dollar of input. The owner is also considering purchasing a new software program that would allow each employee to contact 20 more leads per week, but it would increase material costs by $260 per week. We need to calculate the new multifactor productivity if the software is purchased and determine how it would affect productivity.

a. To calculate the multifactor productivity, we need to determine the total fees generated and the total input costs. The total fees generated per week can be calculated as 8% of the total number of leads contacted multiplied by the one-time fee of $100, which is (0.08 * 200) * $100 = $1,600. The total input costs per week are the sum of employee wages, material costs, and overhead costs, which is (2 employees * 20 hours/week * $20/hour) + $190 + $1,100 = $2,490. Therefore, the multifactor productivity is $1,600 / $2,490 = 0.64.

b. If the owner purchases the software program and each employee can contact 20 more leads per week, the total number of leads contacted per week by both employees will be 2 * (200 + 20) = 440. The new material costs per week will be $190 + $260 = $450. The overhead costs remain the same at $1,100. The total input costs per week become (2 employees * 20 hours/week * $20/hour) + $450 + $1,100 = $1,650. The new multifactor productivity is $1,600 / $1,650 = 0.97.

c. The new multifactor productivity after purchasing the software program has increased to 0.97 from the previous value of 0.64. The change in productivity can be calculated as ((0.97 - 0.64) / 0.64) * 100 = 51.6%. Therefore, purchasing the software program would increase productivity by approximately 51.6%.

By analyzing the multifactor productivity and the impact of purchasing the software program, the owner can make an informed decision about whether the investment is worthwhile considering the potential increase in productivity.

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Answer:

x = 4

Step-by-step explanation:
1.Distribute

2. Subtract 2 from both sides
3. Simplify
4. Divide both sides by same factor

5. Simplify
x = 4

Answer: 4

Step-by-step explanation:

We have to try getting x by itself to solve for it. Since we have two sides that are equal to each other, we can add, subtract, multiply, and divide anything on both sides to try to isolate x.

\(2(x+1)=10\)

We can first divide the left side and the right side by 2. This would remove the 2 being multiplied on the outside.

\(\frac{2(x+1)}{2}=\frac{10}{2}\\x+1=10\div 2\\x+1=5\)

Now, we have a + 1 on the left side that we need to remove to get x by itself. If we are adding something, we can remove that by subtracting the same thing. Hence, we can subtract 1 from both sides to remove the + 1.

\(x+1=5\\x+1-1=5-1\\x+0=4\\x=4\)

After all that simplifying, we get that x equals 4.

Answer:

3

Step-by-step explanation:

The base of 3^(2x) is 3.

The triangle ABC and XZY are proved to be congruent by SAS.

Congruence of triangles: Two triangles are supposed to be harmonious assuming each of the three comparing sides are equivalent and every one of the three relating angle are equivalent in measure. These triangles can be slides, pivoted, flipped and went to be seemed to be indistinguishable.

By the rule of SAS which means, Two sides are equal thhen the angle between the two sides is also equal (SAS: side, angle, side)

BC=YZ

AC=XZ

∠ACB=∠XZY

By SAS ΔABC≅ΔXYZ

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The sampling technique used to obtain the described sample is A. Systematic sampling.

In systematic sampling, the elements of the population are ordered in some way, and then a starting point is randomly selected. From that point, every nth element is selected to be part of the sample.

In the given scenario, the first 35 students leaving the library were selected. This suggests that the students were ordered in some manner, and a systematic approach was used to select every nth student. Therefore, the sampling technique used is systematic sampling.

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The inequality shows that the number of visits that Janelys needs at least 165 points for a free movie ticket is 12.

From the information, Janelys has a points card for a movie theater and she receives 20 rewards points just for signing up and earns 12.5 points for each visit to the movie theater.

The number of visits that are needed to earn at least 165 points will be illustrated as x. This will be:

20 + 12.5x >= 165

Collect like terms

12.5x >= 165 - 20

12.5x >= 145

Divide

x >= 145 / 12.5

x >= 11.6

Therefore, she needs at least 12 visits.

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Janelys has a points card for a movie theater. She receives 20 rewards points just for signing up. She earns 12.5 points for each visit to the movie theater. She needs at least 165 points for a free movie ticket. How may visits are needed?

Answer:

1 is 4

2 is 56

Step-by-step explanation:

We need to show that it holds for the base case (n = 1) and then demonstrate that if it holds for any arbitrary value k, it also holds for k+1. This will establish the validity of the equation for all natural numbers n.

Base case (n = 1):

For n = 1, we have:

overline{z_{1}} = \overline{z_{1}}

This shows that the equation holds for the base case.

Inductive step:

Assume that the equation overline{z_{1}+z_{2}+.....+z_{k}}=\overline{z_{1}}+......+overline{z_{k}} holds for some arbitrary k. We will prove that it holds for k+1.

Consider the expression overline{z_{1}+z_{2}+.....+z_{k}+z_{k+1}}. By applying the assumption, we can rewrite it as:

overline{z_{1}+z_{2}+.....+z_{k}}+z_{k+1}

Using the distributive property of complex conjugate, we can expand the first term:

(\overline{z_{1}}+\overline{z_{2}}+.....+\overline{z_{k}})+z_{k+1}

By the inductive hypothesis, this is equal to:

overline{z_{1}}+......+overline{z_{k}}+z_{k+1}

This demonstrates that the equation holds for k+1.

By the principle of mathematical induction, we have proven that overline{z_{1}+z_{2}+.....+z_{n}}=\overline{z_{1}}+......+overline{z_{n}} for all n in N.

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Answer:

9.) B

10.) B

11.) C

12.) D

13.) D

14.) B

HOPE IT'S HELP

HAVE A NICE DAY AND NIGHT

Answer: 3ln4 + 3lna

Step-by-step explanation:

\(\ln (4a)^{3}\\=3 \ln 4a\\=3(\ln 4+\ln a)\\=\boxed{3\ln 4+3\ln a}\)

The answer is, (1)  the probability of switching from Brand 3 to Brand 1 after 3 months of advertising is 0.1 * 0.1 * 0.1 = 0.001 (or 0.1%)., (2) x = 0.1667 (or 16.67%) ,y = 0.3571 (or 35.71%) ,z = 0.4762 (or 47.62%) , (3) μ33 = 1 / P[3,3] = 1 / 0.8 = 1.25 months. , (4) μ12 = 1 / P[1,2] = 1 / 0.2 = 5 months.

1. To determine the probability of switching from Brand 3 to Brand 1 after 3 months of advertising, we can use the transition matrix.

The probability can be calculated by multiplying the probabilities of transitioning from Brand 3 to Brand 1 over the course of 3 months.

The transition probability from Brand 3 to Brand 1 is 0.1 (P[3,1] = 0.1), and we need to multiply it by itself three times since we want to find the probability after 3 months.

Therefore, the probability of switching from Brand 3 to Brand 1 after 3 months of advertising is 0.1 * 0.1 * 0.1 = 0.001 (or 0.1%).

2. To determine the steady state probabilities, we need to solve the equation P = P * P, where P is the transition matrix and * represents matrix multiplication.

The steady state probabilities are the eigenvector corresponding to the eigenvalue 1.

Let x, y, and z represent the steady state probabilities for Brand 1, Brand 2, and Brand 3, respectively.

We have the following equations:
0.8x + 0.3y + 0.1z = x
0.2x + 0.5y + 0.1z = y
0.2y + 0.8z = z

Simplifying the equations, we get:
0.8x + 0.3y + 0.1z - x = 0
0.2x + 0.5y + 0.1z - y = 0
-0.2y + 0.8z - z = 0

Solving these equations, we find that the steady state probabilities are:
x = 0.1667 (or 16.67%)
y = 0.3571 (or 35.71%)
z = 0.4762 (or 47.62%)

3. The average number of months it takes a customer to return to Brand 3 can be found by calculating the expected number of transitions from Brand 3 to Brand 3.

This is represented by the element μ33 in the transition matrix.

In the given transition matrix, P[3,3] represents the probability of staying with Brand 3 after one month.

Therefore, μ33 = 1 / P[3,3] = 1 / 0.8 = 1.25 months.

4. To determine the average number of months it takes to switch from Brand 1 to Brand 2, we need to calculate the expected number of transitions from Brand 1 to Brand 2.

This is represented by the element μ12 in the transition matrix.

In the given transition matrix, P[1,2] represents the probability of switching from Brand 1 to Brand 2 after one month. Therefore, μ12 = 1 / P[1,2] = 1 / 0.2 = 5 months.

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Answer:

8 feet by 28 feet by 6 feet

Step-by-step explanation:

So volume is length times width times height

It tells us that the volume is 1344 cubic feet (the water used to fill it)

And it also tells us that the height/depth (which are the same thing in this case) is 6ft

All we need now are length and width

We know that one of the sides is 3.5 times the other one. So we can just say length is x and width is 3.5x

So plugging that in, the equation becomes

\(3.5x*x*6=1344\)

3.5 x times x is just 3.5x squared so

\(3.5x^2*6=1344\)

       divide both sides by 6

\(3.5x^2=244\)

       divide by 3.5

\(x^2 =64\)

        \(x=\sqrt{64}\)

x = 8

So that means the one side is 8 feet long and the other side is 3.5 times that, which is 28 feet long.

So the dimensions of the pool are 8 feet by 28 feet by 6 feet

Step-by-step explanation:

4.1  X 10^2    is    4.1  X 100   =   410

The P(teacher and video games) = 4%; the two events are not independent.

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

P(teacher and video games) = number of teachers who play video game / total number of respondents

6/150 = 0.04 = 4%

Independents events are events whose occurrence do not depend on each other. They are random events.

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Answer:

The P(junior and video games) = 32%; the two events are not independent.

Step-by-step explanation:

i got it right aswell

The area of pyramid base with a dimension of x + 2 and x - 1 is given as x² + x - 2

An equation is an expression that shows the relationship between two or more numbers and variables.

Let us assume that the base of the pyramid has a dimension of x + 2 and x - 1, hence:

Area of pyramid base = (x + 2)(x - 1) = x² + x - 2

The area of pyramid base with a dimension of x + 2 and x - 1 is given as x² + x - 2

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Answer:

D)6 x squared StartRoot 3 EndRoot units2

Step-by-step explanation: on edge

Answer:

A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. The volume of each small box is 6 cubic feet and the volume of each large box is 12 cubic feet. There were twice as many small boxes shipped as large boxes shipped and the total volume of all boxes was 168 cubic feet. Write a system of equations that could be used to determine the number of small boxes shipped and the number of large boxes shipped. Define the variables that you use to write the system.

\underline{\text{Define Variables:}}

Define Variables:

​  

May choose any letters.

\text{Let }s=

Let s=

\,\,\text{the number of small boxes shipped}

the number of small boxes shipped

\text{Let }l=

Let l=

\,\,\text{the number of large boxes shipped}

the number of large boxes shipped

Each small box has a volume of 6 cubic feet, so the volume of ss small boxes would be 6s6s cubic feet. Each large box has a volume of 12 cubic feet, so the volume of ll large boxes would be 12l12l cubic feet. Therefore, the total volume 6s+12l6s+12l equals 168:168:

6s+12l=168

6s+12l=168

Since there were twice as many small boxes shipped as large boxes, there were more small boxes, so if we multiply 2 by the number of large boxes, we will get the number of small boxes, meaning ss equals 2l.2l.

let s = number of small boxes shipped

let l= number of large boxes shipped

6s+121 = 168

s=21

The number of small boxes shipped are 14 and the number of large boxes shipped are 7.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Given that, the volume of each small box is 6 cubic feet and the volume of each large box is 12 cubic feet.

Let the number of small boxes be x and the number of large boxes be y.

There were twice as many small boxes shipped as large boxes

So, x=2y ------(I)

The total volume of all boxes was 168 cubic feet.

6x+12y=168 ------(II)

Substitute equation (I) in equation (II), we get

6(2y)+12y=168

12y+12y=168

24y=168

y=7

Substitute y=7 in equation (I), we get

x=14

Therefore, the number of small boxes shipped are 14 and the number of large boxes shipped are 7.

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The scale of the diagram as described in the task content is; 1: 8 where k= 8.

It follows from the task content that the original length of the room in discuss is 8cm. It therefore follows that the length of the room in the scale diagram is 1cm. On this note, the scale of the diagram in discuss is; 1 : 8 as 1cm on the diagram corresponds to 8cm actual length.

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Answer:

adf

Step-by-step explanation:

1cm = 10mm so 10cm is 100mm and 1km is 1000m so 8km is 8000m and 1m is 100cm so 9m is 9000mm

Answer:

The answer to your problem is:

A.

D.

F.

Step-by-step explanation:

( I will only show the formula and bold the correct options )

Centimeters to Millimeters:

multiply the value by 10. Or option A

Meters to centimeters

multiplying the number of meters by 100 ( Not correct )

Centimeters to meters

multiply the given centimeter value by 0.01 meters ( Not correct )

Kilometers to meters

multiply the given value by 1000 Or option D

Meters to kilometers

1 kilometer = 1000 meters

Meters to millimeters

multiply the given meter value by 1000 mm Or option F

Thus the answer to your problem is:

A.

D.

F.

Answer:

Step-by-step explanation:

Select one or more rows and columns

Or click on any cell in the row and then press Shift + Space. To select non-adjacent rows or columns, hold Ctrl and select the row or column numbers.

Answer: 30, 30%, 8181

Step-by-step explanation:

Step 1: I looked at the question and saw that it was asking which of the given options had the same value as 30%30 and 81 8181.

Step 2: I looked at the list of options and saw that 30, 30%, and 8181 all had the same value as the given numbers.

Step 3: I chose those three options as my answer.

To evaluate the line integral ∮C F · dr using Green's theorem, we need to confirm the orientation of the curve C and apply the appropriate sign. Therefore, ∮C F · dr = -8 - 8π.

Given the vector field F(x, y) = ⟨y - cos(y), x sin(y)⟩ and the curve equation \((x - 4)^2 + (y + 9)^2 = 16\), let's proceed with the evaluation.

1. Orientation of Curve C:

To determine the orientation, we can parametrize the curve equation. Let's use the parameterization:

x = 4 + 4cos(t)

y = -9 + 4sin(t)

By analyzing the parameterization, we find that the curve C is oriented counterclockwise as t varies from 0 to 2π.

2. Green's Theorem:

Green's theorem states that ∮C F · dr = ∬D (∂Q/∂x - ∂P/∂y) dA, where D is the region enclosed by the curve C, F = (P, Q) is the vector field, and dr = (dx, dy) is the differential displacement vector.

3. Apply Green's Theorem:

Let's compute the double integral of (∂Q/∂x - ∂P/∂y) over the region D.

∬D (∂Q/∂x - ∂P/∂y) dA = ∬D ((∂/∂x)(x sin(y)) - (∂/∂y)(y - cos(y))) dA

4. Evaluate the Double Integral:

Integrate (∂/∂x)(x sin(y)) and (∂/∂y)(y - cos(y)) with respect to x and y over the region D.

∬D (∂Q/∂x - ∂P/∂y) dA = ∫(0 to 2π) ∫(0 to 4) (sin(y) - 1) dx dy

Evaluate the inner integral:

= ∫(0 to 2π) [x sin(y) - x] |(0 to 4) dy

= ∫(0 to 2π) (4sin(y) - 4) dy

Evaluate the outer integral:

= [-4cos(y) - 4y] |(0 to 2π)

= [-4cos(2π) - 4(2π)] - [-4cos(0) - 4(0)]

Simplifying, we get:

= [-4 - 8π] - [-4]

= -8 - 8π

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use green’s theorem to evaluate yc f dr. (check the orientation of the curve before applying the theorem. \(F(x, y) &= \langle y - \cos(y), x \sin(y) \rangle\) C is a circle \((x - 4)^2 + (y + 9)^2 &= 16\) oriented counterclockwise.

Answer: y = 3x is your answer in Edg

Step-by-step explanation:

Answer:

The answer is y=3x i just got it right

Step-by-step explanation:

sorry if i'm to late :)

Answer:

\(f(x)=(x+4)(x-7)(x-1)\)

Step-by-step explanation:

zeroes are when you plug in that x value and get y=0

therefore if you set x = that number and solve for 0 you get a "function"

multiplying these together will yield the complete 3rd degree polynomial

x = 1

x-1=0

x=7

x-7=0

x=-4

x+4=0

\(f(x)=(x+4)(x-7)(x-1)\)

If needed you could expand but I'm too lazy

Answer:

$4.95

Step-by-step explanation:

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

if he bought with 95% off, then 5% was paid,

5% * $99

$4.95   was paid

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

Omar should go back and regroup the terms in step 1 as (3x^3 – 15x^2) – (4x + 20). In step 2, Omar should factor only out of the first expression.

When factoring polynomials, it is essential to look for common factors that can be factored out. In this case, Omar noticed that there are no common factors in the given polynomial. To proceed, he should go back and regroup the terms in step 1 as (3x^3 – 15x^2) – (4x + 20).

This regrouping allows Omar to factor out of the first expression, which can potentially lead to further factoring or simplification. However, without additional information about the polynomial or any specific instructions, it is not possible to determine the exact steps Omar should take after this point.

In summary, regrouping the terms and factoring out of the first expression is a reasonable next step for Omar to explore the polynomial further.

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¬ Vx(Fx → Gx) v 3xFx ⊢ Fx → Gx [1-5, Modus Ponens]

i. ∃x(Fx & Gx) ⊢ ∃xFx & ∃xGx (5 marks)

Proof:

1. ∃x(Fx & Gx) [Premise]

2. Fx & Gx [∃-Elimination, 1]

3. ∃xFx [∃-Introduction, 2]

4. ∃xGx [∃-Introduction, 2]

5. ∃xFx & ∃xGx [Conjunction Introduction, 3 and 4]

6. ∃x(Fx & Gx) ⊢ ∃xFx & ∃xGx [1-5, Modus Ponens]

ii. ¬ 3x(Px v Qx) ⊢ Vx ¬ Px (5 marks)

Proof:

1. ¬ 3x(Px v Qx) [Premise]

2. ¬ Px v ¬ Qx [DeMorgan’s Law, 1]

3. Vx ¬ Px [∀-Introduction, 2]

4. ¬ 3x(Px v Qx) ⊢ Vx ¬ Px [1-3, Modus Ponens]

iii. ¬ Vx(Fx → Gx) v 3xFx (10 marks; Hint: To derive this theorem use RA.)

Proof:

1. ¬ Vx(Fx → Gx) v 3xFx [Premise]

2. (¬ Vx(Fx → Gx) v 3xFx) → (¬ Vx(Fx → Gx) v Fx) [Implication Introduction]

3. ¬ Vx(Fx → Gx) v Fx [Resolution, 1, 2]

4. (¬ Vx(Fx → Gx) v Fx) → (Fx → Gx) [Implication Introduction]

5. Fx → Gx [Resolution, 3, 4]

6. ¬ Vx(Fx → Gx) v 3xFx ⊢ Fx → Gx [1-5, Modus Ponens]

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