1. a line with a slope of 1/3 passes through the point (3, 6) . which point also lies on this line?
1) (6,3)
2) (7,6)
3) (-3,-3)
4) (- 6, 3)

2. line segment ab has a slope of if the 3/4 if the coordinates of point a are (2,5), the coordinates of point b could be
1) (6, 8)
2) (5,9)
3) (- 1, 1)
4) (6, 2)

Answer:

think it is D

Step-by-step explanation:

look at the X axis and the number at the Y axis

The equation best models the relationship between x and y is y=-5x+125.

We have given that,

John reads an equal number of pages of a book every week. The graph below shows the number of pages of the book left to read, y, after x weeks.

We have to determine the equation best models the relationship between x and y.

The three main ways to represent a relationship in math are using a table, a graph, or an equation.

The X-axis and the number at the Y-axis.

Therefore, The equation best models the relationship between x and y is y=-5x+125.

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The time of 6:10 can best be described as Sue's best or fastest time in the mile race.

In the experiment defined by the gym teacher, Sue was required to run the mile race three times. This implies that she ran the same distance under the same conditions (in the gym class) three times. By doing so, Sue was able to record her times for each of the three runs.

Of the three times, Sue's fastest time was 6:10. This means that out of all the times she recorded, 6:10 was the shortest and thus the best time that she achieved in the mile race.

It is important to note that the context of the experiment defined by the gym teacher is limited to the gym class and the three runs that Sue made during that class.

It is possible that Sue may have run faster times outside of the gym class, or in a different running context. However, within the context of the gym class experiment, 6:10 represents her best or fastest time in the mile race.

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Answer:

(x+4)(3x-2)(x+1)

Step-by-step explanation:

Answer:

Does the answer help you?

Answer: Um sure you can

Answer:

Step-by-step explanation:

x - 3y = 24

-3y = 24 - x

y = -(24/3) - (1/3)x

y = -(1/3)x - 8

The slope is -(1/3).  A parallel line will have the same slope.

y=-(1/3)x - 4 has the same slope.  Therefore, it is parallel.

Information is needed to evaluate the project's financial viability, considering factors such as the initial investment, expected cash flows, cost of capital, and project duration.

To calculate the year 1 operating cash flows (OCF), we need to subtract the year 1 costs from the year 1 revenues:

OCF = Year 1 Revenues - Year 1 Costs

OCF = $192,000 - $125,000

OCF = $67,000

To find the depreciation expense in year 3, we need to determine the depreciation method. The provided information is incomplete regarding the depreciation method, so we cannot calculate the depreciation expense in year 3 without knowing the specific method.

The change in Net Working Capital (NWC) in year 2 can be determined by multiplying the Net Working Capital percentage (given as a percentage of t+1 revenues) by the year 1 revenues and subtracting the result from the year 2 revenues:

Change in NWC = (Year 2 Revenues - Net Working Capital percentage * Year 1 Revenues) - Year 1 Revenues

Without the specific Net Working Capital percentage or Year 2 Revenues values, we cannot calculate the exact change in NWC in year 2.

The net cash flow from salvage (ATSV) is calculated by multiplying the Salvage Value percentage by the Initial Cost:

ATSV = Salvage Value percentage * Initial Cost

ATSV = 28% * $390,000

ATSV = $109,200

To calculate the project's NPV, we need the cash flows for each year, the cost of capital, and the project duration. Unfortunately, the information provided does not include the cash flows for each year, so we cannot calculate the project's NPV.

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The complete question is:

Below are your numerical inputs for the problem: 4 & Initial Cost (\$) & 390000 5 & Year 1 Revenues (\$) & 192000 6 & Year 1 Costs (\$) & 125000  7 & Inflation & 2.75% 8 & Project Duration (years) & 6 9 & Depreciation Method & 10 & Tax Rate & 11 & Net Working Capital (\% oft+1 Revenues) & MACRS 12 & Salvage Value (\$) & 28.00% 13 & Cost of Capital & 15.00% & 245000 How much are the year 1 operating cash flows (OCF)? How much is the depreciation expense in year 3 ? What is the change in Net Working Capital (NWC) in year 2? What is the net cash flow from salvage (aka, the after-tax salvage value, or ATSV)? What is the project's NPV? Would you recommend purchasing the ranch? Briefly explain.

The values of x and y are 23.3 and 106 as per given diagram.

What is Alternate Interior Angles?

Hence, (3x + 4)° = 74°

3x = 74° - 4°°

x = 70° / 3

x = 23.3

What is Interior Angles on the Same Side of the Transversal?

Hence, (3x+4)° + y° = 180°

74° + y° = 180°

y = 106°

Hence, the values of x and y are 23.3 and 106 as per given diagram.

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Answer:

\(-16\)

Step-by-step explanation:

\(f(5)=4(5)-1=19 \\ \\ g(5)=2^5+3=35 \\ \\ (f-g)(5)=f(5)-g(5)=19-35=-16\)

The equation of g(x) is g(x) = x - 10, in the form mx + b, where m = 1 and b = -10.

To find the equation of the function g(x), which is a translation 1 unit left and 11 units down of f(x) = x, we need to apply the translation to the equation of f(x).

The translation 1 unit left can be achieved by replacing x with (x + 1) in the equation of f(x). The translation 11 units down can be achieved by subtracting 11 from the equation.

g(x) = f(x + 1) - 11

g(x) = (x + 1) - 11

g(x) = x + 1 - 11

g(x) = x - 10

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Answer:

0.05298

Step-by-step explanation:

If it wrong i'm sorry hope it helps

The expected value of the game for player A is $50. Since player A is willing to pay up to the expected value to play the game, player A would be willing to pay up to $50 to be in the position of player A.

To determine this amount, we can analyze the expected value of the game for player A. Let's consider the different possible outcomes:

Player A wins on the first flip: This happens with a probability of 1/4 (since the sequence HH must occur on the first two flips) and results in a $100 win for player A.

Player B wins on the second flip: This also happens with a probability of 1/4 and results in a $0 win for player A.

The game continues: This happens with a probability of 1/2, as player A flips tails on the first flip. At this point, the roles switch, and player B becomes the "new" player A. We can think of this as starting a new game with the same conditions. The expected value of this scenario is the same as the expected value of the original game.

Based on these outcomes, the expected value for player A can be calculated as:

E(A) = (1/4) * $100 + (1/4) * $0 + (1/2) * E(A)

Simplifying the equation, we have:

E(A) = $25 + $0.5 * E(A)

Solving for E(A), we find:

E(A) = $25 / (1 - 0.5)

E(A) = $50

Therefore, the expected value of the game for player A is $50. Since player A is willing to pay up to the expected value to play the game, player A would be willing to pay up to $50 to be in the position of player A.

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All four conditions have been met, the conditions for statistical inference for testing a difference in population proportions have been satisfied. The conditions for statistical inference for testing a difference in population proportions are:

Random samples: Both schools have selected simple random samples of their respective student populations, which satisfies this condition.

Large sample size: Both schools have over 2,000 students, which satisfies the large sample size condition.

Independent samples: The samples from schools A and B are independent, as the students from one school do not affect the students from the other school.

Success-failure condition: The sample sizes are large enough to satisfy the success-failure condition, which states that there should be at least 10 successes and 10 failures in each sample. Both schools have well over 10 successes and failures in their respective samples.

Since all four conditions have been met, the conditions for statistical inference for testing a difference in population proportions have been satisfied.

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The number of electrons flowing per second is known as as electric current, Option (c) is correct.

The Current represents the flow of electric charge in a circuit and is measured in Amperes (A). It is a fundamental quantity that indicates the rate at which electrons pass through a specific point in a conductor.

The Voltage (potential difference), is the driving force that pushes the electrons through the circuit. The Resistance, on the other hand, opposes the flow of current. Power, measured in Watts (W), is the rate at which electrical energy is consumed or produced in a circuit.

Therefore, the correct option is (c).

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By the alternating series test, the given sequence {an} diverges. Thus, we cannot find a limit for {an}. The answer is: sequence diverges.

The given sequence is {an} = (-1)n-1n(n2 + 5). To determine if the sequence converges or diverges, we can use the alternating series test since the sequence alternates in sign.

Using the alternating series test, we need to check that the sequence {bn} = n2 + 5 is decreasing and approaches 0 as n approaches infinity.  Taking the derivative of {bn}, we get: b'n = 2n Since b'n > 0 for all n, {bn} is an increasing sequence.

However, since {bn} starts at n=1, we can ignore the first term and consider {bn} starting at n=2. Now, {bn} = n2 + 5 > n2 for all n >= 2. Since {bn} is greater than the divergent series n2, it also diverges.

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Step-by-step explanation:

1. vertical opposite angles

2. corresponding angles

3. alternate interior angles

4. alternate exterior angles

5. corresponding angles

6. vertical opposite angles

7. alternate exterior angles

8. vertical opposite angles

9. corresponding angles

10. alternate exterior angles

No, Root 3x 5 is not a polynomial, because it does not meet the definition of a polynomial.

A polynomial is a mathematical expression consisting of variables and coefficients, which only uses the operations of addition, subtraction, multiplication, and non-negative integer exponents. In other words, it must be an expression that can be written in the form ax^n + bx^(n-1) + cx^(n-2) + dx^(n-3) + ... + z, where n is an integer, and a, b, c, d, ... and z are real numbers.

Root 3x 5 does not fit this definition, because it contains a square root (√) which is not one of the operations listed. Additionally, it does not fit the form of a polynomial, as it does not contain any coefficients or exponents. The formula for root 3x 5 is simply √3x 5, and the calculation is the square root of 3x 5, or √15, which is equal to 3.75.

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Given:

Center of dilation: (0, 0)

Scale factor = 9

Let's find the image of point L(-8, 0) after the dilation with the given scale factor.

To find the image of a point after dilation, multiply the coordinates of point by the scale factor of dilation.

We have:

L(-8, 0) ==> (-8 x 9, 0 x 9) ==> L'(-72, 0)

Therefore, the image of the point after a dilation with a scale factor of 9 is:

(-72, 0)

ANSWER:

(-72, 0)

1. Solve the following ordinary differential equations; (1) dy = x²-x²1f when x=0 dx (ii) x dy + Cot ; 1+ y=0 dy + Coty=0; 1f y=π/4 dx (iii) (xy²+x) dx +(yx²³+y) dy dy dx (iv) y-x.dy = a (y² + y ) X. (v) = e²x-3y + 4x² e 3y when x=√2 =O

Answer:

The first four terms of the expansion for

(

1

+

�

)

15

(1+x)

15

 are B.

1

+

15

�

+

105

�

2

+

455

�

3

1+15x+105x

2

+455x

3

.

Explanation:

The expansion of

(

1

+

�

)

15

(1+x)

15

 can be found using the binomial theorem. According to the binomial theorem, the expansion of

(

1

+

�

)

�

(1+x)

n

 can be expressed as the sum of the binomial coefficients multiplied by the powers of x. In this case, we have

�

=

15

n=15, so we need to find the coefficients for the powers of x up to the fourth term.

To find the coefficients, we use the formula for binomial coefficients, which is given by

�

(

�

,

�

)

=

�

!

�

!

(

�

−

�

)

!

C(n,k)=

k!(n−k)!

n!

​

, where

�

n is the power, and

�

k represents the term number. For the first term,

�

=

0

k=0, for the second term,

�

=

1

k=1, and so on.

Now let's calculate the coefficients for the first four terms:

For the first term (k = 0):

�

(

15

,

0

)

=

15

!

0

!

(

15

−

0

)

!

=

1

C(15,0)=

0!(15−0)!

15!

​

=1

For the second term (k = 1):

�

(

15

,

1

)

=

15

!

1

!

(

15

−

1

)

!

=

15

C(15,1)=

1!(15−1)!

15!

​

=15

For the third term (k = 2):

�

(

15

,

2

)

=

15

!

2

!

(

15

−

2

)

!

=

105

C(15,2)=

2!(15−2)!

15!

​

=105

For the fourth term (k = 3):

�

(

15

,

3

)

=

15

!

3

!

(

15

−

3

)

!

=

455

C(15,3)=

3!(15−3)!

15!

​

=455

Therefore, the expansion of

(

1

+

�

)

15

(1+x)

15

 up to the fourth term is

1

+

15

�

+

105

�

2

+

455

�

3

1+15x+105x

2

+455x

3

, which corresponds to option B.

To learn more about the binomial theorem and its applications, you can refer to textbooks on algebra or mathematics courses that cover the topic. Understanding this theorem is beneficial in various areas of mathematics, including combinatorics, probability theory, and calculus.

ordinary differential equation

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Answer

x=5 y=2

Step-by-step explanation:

On average, you would expect to select approximately 1.90

Americans in order to find your first married respondent. This is because according to the U.S. Census Bureau, the national marriage rate in 2018 was 6.9 per 1,000 individuals, which is equivalent to 0.69% of the population being married.

Therefore, if we assume the population of Americans is uniformly distributed, the probability of randomly selecting a married American is 0.69%. Consequently, the expected number of trials necessary to select a married respondent is 1/0.0069 = 1.90.

To calculate this, we used the probability formula for a single trial: P(X) = N/S, where P(X) is the probability of success, N is the number of successes, and S is the number of trials.

Therefore, by substituting the number of successes (1) and the probability of success (0.0069) into the formula, we can determine the expected number of trials necessary to select a married respondent (1/0.0069 = 1.90).

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The expression that represents the perimeter of the triangle in centimeter is P = 6q - 6r -5s.

The whole distance encircling a shape is referred to as its perimeter. It is the length of any two-dimensional geometric shape's boundary or outline. Depending on the size, the perimeter of several figures can be the same. Consider a triangle built of an L-length wire, for instance. If all the sides are the same length, the same wire can be used to create a square.

The perimeter of the triangle is given as:

P = a + b + c

Where, a, b, and c are the sides of the triangle.

It is given that the sides of the triangle are (q + r), (5s - 7r) and (5q- 10s).

Substituting the value of sides in the equation we have:

P = q + r + 5s - 7r + 5q - 10s

P = 6q - 6r -5s

Hence, the expression that represents the perimeter of the triangle in centimeter is P = 6q - 6r -5s.

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The complete question is:

A triangle has side lengths of (q+r)centimeters, (5q-10s) centimeters, and (5s-7r) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?

Answer:

The sequence is a geometric sequence and the common ratio is 4.

Step-by-step explanation:

Because the difference between two pairs of adjacent numbers are not constant, the sequence has to be a geometric sequence. To find the ratio of a geometric sequence, just divide any of the two adjacent numbers. That would give you a ratio of 4 as your answer.

Answer:

Step-by-step explanation:

Remark

There are 6 faces on a cube.

Each face has an area of s^2

s = 5

One face is s^2

One face is 5^2 = 25 cm^2

6 faces are 6*25 cm^2

6 faces are 150 cm^2

Answer

150 cm^2

Answer:

B, or -75

Step-by-step explanation:

f(x) is a function of x.

If f(x) = 50 when x = -10, you can rearrange this information.

f(-10) = 50

f = -5

If f = -5...

-5 ( 15) = -75

The probability that a randomly-selected student from this survey ordered Ranch is approximately 0.2383.

We have,

Let R be the event that a student ordered Ranch dressing.

We want to find P(R), the probability that a randomly-selected student from the survey ordered Ranch.

Out of the 3000 students surveyed, 185 never ordered any dressing, so the remaining 3000 - 185 = 2815 students ordered some kind of dressing. Of these, 2100 ordered Caesar but not Ranch, so the remaining

2815 - 2100 = 715 students ordered Ranch or both dressings.

Now,

P(R) is the proportion of students who ordered Ranch or both dressings out of the total number of students surveyed:

P(R) = 715 / 3000 = 0.2383 (rounded to four decimal places)

Thus,

The probability that a randomly-selected student from this survey ordered Ranch is approximately 0.2383.

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The estimated current total cost for the installed and insulated tank is $12,065.73.

The first step is to calculate the surface area of the tank. The surface area of a cylinder is calculated as follows:

surface_area = 2 * pi * r * h + 2 * pi * r^2

where:

r is the radius of the cylinder

h is the height of the cylinder

In this case, the radius of the cylinder is 1 meter (half of the diameter) and the height of the cylinder is 1 meter. So the surface area of the tank is:

surface_area = 2 * pi * 1 * 1 + 2 * pi * 1^2 = 6.283185307179586

The insulation will add a thickness of 0.05 meters to the surface area of the tank, so the total surface area of the insulated tank is:

surface_area = 6.283185307179586 + 2 * pi * 1 * 0.05 = 6.806032934459293

The cost of the insulation is $40 per square meter and the cost of labor is $95 per square meter, so the total cost of the insulation and labor is:

cost = 6.806032934459293 * (40 + 95) = $1,165.73

The original cost of the tank was $10,900, so the total cost of the insulated tank is:

cost = 10900 + 1165.73 = $12,065.73

Therefore, the estimated current total cost for the installed and insulated tank is $12,065.73.

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