What does the slope of a line indicate about the line

Answer:

3 (5x+2y = 0)

2 (2x – 3y = -19)

Step-by-step explanation:

5x+2y=0 (1)

2x-3y=-19 (2)

To eliminate y from the first two equation when applying the linear combination method

We will multiply y Equation (1) and (2) with 3 and 2 respectively so that the coefficients of y in the two equations +6 and -6 respectively

3(5x+2y=0)

2(2x-3y=-19)

We have,

15x+6y=0 (3)

4x-6y= -38 (4)

Add Equation (3) and (4)

19x=-38

x= -2

Substitute x= -2 into (1)

5x+2y=0

5(-2)+2y=0

-10+2y=0

-10= -2y

y=-10/-2

=5

y=5, x=-2

Answer:

78.3% which would be a C+

Step-by-step explanation:

If the project was worth 20% of your grade and you got 50% on that project, we can multiply the decimal values of these percentages together to know exactly by how much your grade will drop.

0.2 * 0.5 = 0.1 or 10%

Now, we see that your grade will drop 10%. Meaning, that from your 87% you will actually have only 90% of that which is...

87 * 0.90 = 78.3

Therefore, your grade will go down to a 78.3% which would be a C+

Answer:

$238

Step-by-step explanation:

Find the unit rate

$85 / 5 tutoring sessions = $17 / tutoring session

Multiply unit rate by 14 sessions

$17 / tutoring session * 14 tutoring sessions = $238

Answer:

$238 for 14 sessions

Step-by-step explanation:

If you pay $85 for 5 sessions, you need to find the unit rate, which is how much money for 1 session.  You find this out by dividing 85 by 5

85 / 5 = 17

It costs $17 for 1 tutoring session.  

Pete wants to know how much he will have to pay for 14 sessions.  When the sessions are $17 each, you would multiply 17 and 14

17 x 14 = 238

Pete would have to pay $238 for 14 tutoring sessions.

The probability of getting fewer than 2 successes is approximately 0.5751.

To find the probability of getting fewer than 2 successes in a binomial experiment with probability of success p = 0.36 and m = 7 trials, we need to calculate the probability of getting 0 or 1 success.

The probability of getting k successes in a binomial experiment with m trials is given by the binomial probability formula:

\(P(X = k) = C(m, k) * p^k * (1 - p)^{(m - k)\)

where C(m, k) is the number of combinations of m items taken k at a time, given by the formula:

C(m, k) = m! / (k! * (m - k)!)

For the given scenario, we want to calculate P(X < 2), which means finding P(X = 0) + P(X = 1).

\(P(X = 0) = C(7, 0) * 0.36^0 * (1 - 0.36)^{(7 - 0)} = 1 * 1 * 0.64^7 = 0.2079P(X = 1) = C(7, 1) * 0.36^1 * (1 - 0.36)^{(7 - 1)} = 7 * 0.36 * 0.64^6 = 0.3672\)

Therefore, the probability of getting fewer than 2 successes in this binomial experiment is:

P(X < 2) = P(X = 0) + P(X = 1) ≈ 0.2079 + 0.3672 = 0.5751

So, the probability of getting fewer than 2 successes is approximately 0.5751.

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Answer: There is not enough info and I can't see  because the picture is not clear enough. Sorry. :(

Merry (early) Christmas tho! :)

Answer:

X=15

I hope this helps also I would appricate brainliest if possible :)

By using the table of values, we have the following:

A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables. This ultimately implies that, a function is typically used for mapping an input variable (x-value) to an output variable (y-value or f(x)).

In this exercise, you're required to determine the value of each function based on the value of x shown in the table above. Therefore, you would identify the input variable (x-value) that corresponds to the value of the output variable (y-value or f(x)) in the given table and vice-versa.

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Poisson distribution is a discrete probability distribution that describes the number of events that occur randomly in a fixed interval of time or space.

a. The probability that the number of drivers will be at most 10 is calculated as the cumulative distribution function of Poisson distribution at 10, which is

 \(P(X \leq 10) = \sum_{i}=0^{10 }e^{-\mu} *\frac{\mu^{i }}{i!}\)

where i ranges from 0 to 10.

b. The probability that the number of drivers will exceed 20 is calculated as

\(P(X > 20) = 1 - P(X \leq 20) = 1 - \sum_i=0^{20} e^{(-\mu)} *\frac{ \mu^i }{i!}\)

where i ranges from 0 to 20.

c. The probability that the number of drivers will be between 10 and 20, inclusive is calculated as

\(P(10 \leq X \leq 20) = \sum_i=10^{20} e^{(-\mu)} *\frac{\mu^i}{i! }\)

where i ranges from 10 to 20. The probability that the number of drivers will be strictly between 10 and 20 is calculated as

\(P(10 < X < 20) = \sum_i=10^{19} e^{(-\mu)} * \frac{\mu^i }{i!}\)

where i range from 10 to 19.

d. The standard deviation of Poisson distribution with parameter μ = 20 is \(\sqrt{(\mu)} = \sqrt{(20)} = 2\sqrt5\)

The probability that the number of drivers will be within 2 standard deviations of the mean value is calculated as

\(P(\mu - 2 * \sqrt{(\mu)}\leq X\leq \mu + 2 * \sqrt{(\mu)}) = \sum_i=16^{24} e^{(-\mu)} * \frac{\mu^i}{i!}\)

where i ranges from 16 to 24.

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The complete question is :

Suppose that the number of drivers who travel between a particular origin and destination during a designated time period has a Poisson distribution with parameter μ =20 (suggested in the article “Dynamic Ride Sharing: Theory and Practice,” J. of Transp. Engr., 1997: 308–312). What is the probability that the number of drivers will

a. Be at most 10?

b. Exceed 20?

c. Be between 10 and 20, inclusive? Be strictly between 10 and 20?

d. Be within 2 standard deviations of the mean value?

To calculate the gain on the sale of the office furniture, we need to determine the asset's book value and compare it to the sale price.

First, let's calculate the accumulated depreciation on the furniture. The furniture was purchased on January 1, 2014, and the straight-line depreciation method is used over 10 years with a salvage value of $80,200.

Depreciation per year = (Cost - Salvage Value) / Useful Life

Depreciation per year = ($746,800 - $80,200) / 10 years

Depreciation per year = $66,160

Next, we need to calculate the accumulated depreciation for the period from January 1, 2014, to May 1, 2021 (the date of the sale). This is approximately 7.33 years.

Accumulated Depreciation = Depreciation per year × Years

Accumulated Depreciation = $66,160 × 7.33 years

Accumulated Depreciation = $484,444.80

Now, we can calculate the book value of the furniture:

Book Value = Cost - Accumulated Depreciation

Book Value = $746,800 - $484,444.80

Book Value = $262,355.20

Finally, we can calculate the gain on the sale:

Gain on Sale = Sale Price - Book Value

Gain on Sale = $300,000 - $262,355.20

Gain on Sale = $37,644.80

Therefore, the gain that should be recognized on the sale of the office furniture is approximately $37,644.80.

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The gain that should be recognized on the sale of the office furniture is $84,080.

The gain is calculated by subtracting the equipment's book value from the sale price. This gain will be reported on the company's income statement. Here is how to calculate the gain:First, find the equipment's book value using the straight-line method of depreciation.

Straight-line depreciation is calculated by taking the difference between the equipment's original cost and its salvage value, and then dividing it by the number of years the equipment is used. The annual depreciation expense is then multiplied by the number of years the equipment is used to find the equipment's book value at the end of its useful life.

For this question, the book value of the equipment at the time of sale is:Cost of equipment: $746,800Salvage value: $80,200Depreciable cost: $746,800 - $80,200 = $666,600Annual depreciation: $666,600 ÷ 10 years = $66,660Book value at the end of 2020: $666,600 - ($66,660 x 7) = $156,420

Next, subtract the equipment's book value from the sale price to find the gain:Sale price: $300,000Book value: $156,420Gain: $143,580Finally, round the gain to the nearest dollar:$143,580 ≈ $143,580.00So the gain that should be recognized on the sale of the office furniture is $84,080.

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When it comes to saving effectively, it is advisable to make regular payments rather than relying solely on a lump sum. By making consistent contributions over time, you can benefit from compounding interest and develop a disciplined saving habit. Additionally, seeking professional advice from financial advisors can help you understand the best strategies to maximize your savings.

To save effectively, it is generally recommended to make regular payments instead of relying on a single lump sum contribution. By consistently saving money over time, you can take advantage of the concept of compounding interest, where your initial savings generate earnings that are reinvested and generate further returns. This compounding effect can significantly increase your savings over the long term. Additionally, by making regular payments, you develop a disciplined saving habit, which can be beneficial in achieving your financial goals.

In order to optimize your savings strategy, it is advisable to consult with financial advisors or professionals who specialize in personal finance. They can provide guidance tailored to your specific financial situation, helping you understand the various investment options available and determining the most suitable approach for your savings goals. Financial advisors can also assist in assessing your risk tolerance, diversifying your portfolio, and creating a comprehensive savings plan that aligns with your objectives and time horizon. Seeking professional advice can provide valuable insights and increase the likelihood of successful long-term savings.

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Answer:

13

Step-by-step explanation:

18/3 = 6

6*2 = 12

12+1 = 13

Answer:

yes

Step-by-step explanation:

so first you would convert pounds into ounces (It's easier for me)

and there are 16 ounces in one pound so for 3 pounds you would have 48 ounces then add the 15 ounces to get 63 ounces and if she needs twice as much to make a vase she would need 126 ounces for a vase then you would add the other 63 to that to get a total of 189 ounces of clay in order to create the bowl and vase, and in order to find out how many ounces are in a 12 pound bag you would just multiply 12 by 16 to get 192 ounces. So yes she does have enough clay to make a bowl and a vase.

The speed of the particle at time t=0 is approximately sqrt(25 * pi^2 + 16) units per time unit. The speed of the particle at time t=0 when given parametric equations x(t)=5sin(pit) and y(t)=(2t-1)^2, follow these steps:

Step:1. Differentiate the x(t) and y(t) equations with respect to time (t) to find the velocity components in the x and y directions:
  dx/dt = d(5sin(pit))/dt
  dy/dt = d((2t-1)^2)/dt
Step:2. Apply the chain rule and differentiation rules to compute the derivatives:
  dx/dt = 5 * pi * cos(pit)
  dy/dt = 2 * (2t-1) * 2
Step:3. Substitute t=0 into the expressions for dx/dt and dy/dt to get the velocity components at time t=0:
  dx/dt(0) = 5 * pi * cos(0) = 5 * pi
  dy/dt(0) = 2 * (2(0)-1) * 2 = -4
Step:4. Use the Pythagorean theorem to find the magnitude of the velocity, which represents the speed of the particle at time t=0:
  Speed = sqrt((dx/dt(0))^2 + (dy/dt(0))^2)
  Speed = sqrt((5 * pi)^2 + (-4)^2)
  Speed = sqrt(25 * pi^2 + 16)

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The ordered pair which makes both inequalities true is: D. (3, 0).

Here, we have,

In Mathematics, an inequality can be used to show the relationship between two (2) or more integers and variables in an equation.

In order to determine ordered pair which makes both inequalities true, we would substitute the points into the inequalities as follows:

At (0, 0), we have:

y > -2x + 3  

0 > -2(0) + 3

0 > 3 (false).

y < x – 2

0 < 0 - 2

0 < -2 (false)

At (0, -1), we have:

y > -2x + 3  

-1 > -2(0) + 3

-1 > 3 (false).

y < x – 2

-1 < 0 - 2

-1 < -2 (false)

At (1, 1), we have:

y > -2x + 3  

1 > -2(1) + 3

1 > -1 (true).

y < x – 2

1 < 1 - 2

1 < -1 (false)

At (3, 0), we have:

y > -2x + 3  

0 > -2(3) + 3

0 > -3 (true).

y < x – 2

0 < 3 - 2

0 < 1 (true).

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complete question:

Which ordered pair makes both inequalities true?

y > –2x + 3

y < x – 2

On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 2) and (2, 0). Everything to the right of the line is shaded. The second dashed line has a negative slope and goes through (0, 3) and (1, 1). Everything to the right of the line is shaded.

(0,0)

(0,–1)

(1,1)

(3,0)

Answer:

416 cm2

Step-by-step explanation:

The formula for surface area of prism.

2Ab+ Pb*h

2(1/2)(12)(8)+ 32*10

= 96+320

= 416 cm2

if my answer helps please mark as brainliest.

Step-by-step explanation:

the nth root of something can be expressed as 1/n as exponent.

e.g. sqrt(2) = 2^(1/2).

so, the 5th root of 3⁴ = 3^(4/5)

for f(x) = 3^x

that means that x = 4/5 = 0.8.

so, I go on the x-axis to the right to 0.8, and from there straight up to the actual curve.

that is the desired point.

Number of people that expected to do their shopping online in a sample of 60 is 46

To determine the expected number of people who do their shopping online in a sample of 60 people, you can use the following formula:

Expected number = Sample size x Percentage

Substituting the values from the question, we get:

Expected number = 60 x 0.76

Expected number = 45.6

Since you can't have a fractional person, you can round this up or down to the nearest whole number. In this case, it makes sense to round up, since you can't have a partial person.

Therefore, we can expect that about 46 people in a sample of 60

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The speed of the moving body that is being referred to here is 80 kilometer per hour.

The given problem is a straightforward one based on the idea of the universal law of motion. According to the universal law of motion, any uniformly traveling body's distance traveled is determined by the product of its speed and the time elapsed. Distance is calculated as speed * time. Therefore the body is going at a speed of 80 kilometers per hour, according to the same relation as above, assuming that it is moving at a constant speed.

                                \(Distance = speed * time\)

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Answer:

157°

Step-by-step explanation:

(4x - 5)° = (x + 16)°.. (vertical angles)

4x - 5 = x + 16

4x - x = 16 + 5

3x = 21

x = 21/3

x = 7

(x + 16)° + y ° = 180°...(Linear pair angles)

(7 + 16)° + y° = 180°

23° + y° = 180°

y° = 180° - 23°

y° = 157°

1. Factor the denominators as follow:

2. Write the expresion with the less common denominator:

Multiply the first fraction by (x+6) (both parts, numerator and denominator):

Multiply the second fraction by 4 (both parts, numerator and denominator):

Rewrite the expression with the less common denominator:

3. Remove parentheses and simplify:

Answer:

Joe would be paying $700 in 5 years time.

Step-by-step explanation:

Answer:

In 4 years Joe would have to pay $1,680 in simple interest.

Step-by-step explanation:

So first of all you want to start by finding what P, r and t would be.

P = Principal amount ($$)

r = interest rate (%)

t = time

Once I found all of those I put them into the equation (l = Prt) and solved. That is how I came up with my answer. Check the screenshot provided to see what P, r and t would be and to see all my work! :)

Have a great day!

Answer:

y = - \(\frac{5}{3}\)

Step-by-step explanation:

6x - 3y = - 7 → (1)

2x + 3y = - 9 → (2)

multiplying (2) by - 3 and adding to (1) will eliminate x

- 6x - 9y = 27 → (3)

add (1) and (3) term by term to eliminate x

0 - 12y = 20

- 12y = 20 ( divide both sides by - 12 )

y = \(\frac{20}{-12}\) = - \(\frac{5}{3}\)

Answer: If a scatterplot is included in the assignment

The dots plotted on the graph might closely follow the graph of exponential decline. There is a large number of texts per day by 19-20-21 year-olds, but the number seems to decline exponentially as age increases. With a little work, it may be possible to plot the curve and write an equation to model the decline.

Step-by-step explanation:  Look at some graphs of exponential decay. Also consider harmonic and hyperbolic decay. The trend in the data is evident. The main challenge is to look at the data and create an equation that models it.

Answer

a) The system of two linear inequalities include

5x + 3y ≥ 15

3x + 4y > 12

b) Least number of times Sally needs to play only the ring toss in order to achieve her goal of more than 12 tickets = 5

c) Least number of times Tom needs to play only the fishing game in order to achieve her goal of at least 15 tickets = 5

Explanation

Number of times Ring toss needs to be played is denoted as x.

Number of times Fishing game needs to be played is denoted as y.

a) For Tom

5 tickets for each ring toss = 5x

3 tickets for each fishing game = 3y

Tom needs at least 15 tickets for the prize he wants

5x + 3y ≥ 15

For Sally

3 tickets for each ring toss = 3x

4 tickets for each fishing game = 4y

Sally needs more than 12 tickets for the prize she wants

3x + 4y > 12

The system of two linear inequalities is then

5x + 3y ≥ 15

3x + 4y > 12

b) What is the least number of times Sally needs to play only the ring toss in order to have enough tickets for the prize she wants?

The inequality describing her situation is

3x + 4y > 12

We are now told that if she plays only the ring toss, (that is, no fishing game, y = 0), what would be the minimum number of times she would need to play to achieve her goal of more than 12 tickets?

3x + 4y > 12

when y = 0

3x + 4y > 12

3x + 4(0) > 12

3x + 0 > 12

3x > 12

Divide both sides by 3

(3x/3) > (12/3)

x > 4

Number of times has to be more than 4, so, minimum number of times has to be 5.

c) What is the least number of times Tom needs to play only the fishing game in order to have enough tickets for the prize he wants?

The inequality describing his situation is

5x + 3y ≥ 15

We are now told that if he plays only the fishing game, (that is, no ring toss, x = 0), what would be the minimum number of times he would need to play to achieve his goal of at least 15 tickets?

5x + 3y ≥ 15

when x = 0

5(0) + 3y ≥ 15

0 + 3y ≥ 15

3y ≥ 15

Divide both sides by 3

(3y/3) ≥ (15/3)

y ≥ 5

Number of times has to be at least 5, so, minimum number of times has to be 5.

Hope this Helps!!!

The probability that the employee is a member of the hourly staff, given that the employee is female is 0.2 or 1/5.

We need to calculate the conditional probability of an employee being a member of the hourly staff given that the employee is female and all the employees of a local university have been classified according to gender and job type.

The given table is:

Job Male Female

Faculty Member 55 5

Salaried Staff 15 25

Hourly Staff 30 20

The total number of female employees is 5+25+20 = 50.

We are to find the probability of an employee being a member of the hourly staff given that the employee is female.

Mathematically, we can represent the above statement as:

P(Hourly staff | Female) = P(Hourly staff and Female) / P(Female)

Now,P(Hourly staff and Female) = 20/100 * 50 = 10P(Female) = 50/100

Therefore,P(Hourly staff | Female) = P(Hourly staff and Female) / P(Female)= 10 / 50= 1/5 = 0.2

Therefore, the probability that the employee is a member of the hourly staff, given that the employee is female is 0.2 or 1/5.

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Answer:

1/2 - 3 1\4= -11/4

1\2 - 4\5= -3\4

1\6 + -3 3\4= 43\12

Answer:

Step-by-step explanation:

To find the equation with a slope of 3 through the point (9, -4), we can substitute the values into the equation and solve for 'b'.

We have the slope, m = 3, and the point (9, -4), which means x = 9 and y = -4.

Using the point-slope form of the equation: y - y1 = m(x - x1), we substitute the values:

y - (-4) = 3(x - 9)

Simplifying:

y + 4 = 3(x - 9)

y + 4 = 3x - 27

Now, rearranging the equation to slope-intercept form:

y = 3x - 27 - 4

y = 3x - 31

Therefore, the equation in slope-intercept form that represents a line with slope 3 through the point (9, -4) is y = 3x - 31.

The open spaces in sculpture are called negative spaces.

In sculpture, negative space refers to the empty or void areas that exist between and around the solid forms or objects. It is the space that surrounds and defines the positive elements or shapes in a sculpture. Negative space plays a crucial role in creating balance, contrast, and harmony in sculptural compositions.

When an artist sculpts an object, they not only consider the physical mass and volume of the object itself but also pay attention to the spaces that are created as a result. These empty spaces are as important as the solid forms and contribute to the overall aesthetic and visual impact of the sculpture. By carefully manipulating the negative spaces, artists can enhance the perception of the positive elements and create a sense of depth, movement, and tension within the artwork.

In contrast, positive space refers to the solid or occupied areas in a sculpture, while the terms "literal" and "linear" do not specifically relate to the concept of open spaces in sculpture. Therefore, the correct answer is negative spaces.

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Answer:

D, 20

Step-by-step explanation:

Put this in a calculator.

Or you can try to work it out yourself.

Have the equation written out.

5/1 / 1/4

Then divide

Hope this helps!

Answer:

20.

Step-by-step explanation: