find the equation of the line parallel to y=5x+7 and passing through (3,-8)

Step-by-step explanation:

so, we had

4+3+2+2+6 = 17 experiments

I assume the spinner has 5 equality sized fields with different colors.

so, normally we would assume that in average each color has the same probability : 1/5 (desired results over totally possible results).

the experiments with the actual spinner give us now observational data and probabilities.

after all, a spinner (as a die, or a roulette wheel, or ...) can have slightly different probabilities for the individual outcomes based on design and manufacturing.

so, based on these results we see the actual probabilities like this

red 4/17

blue 3/17

green 2/17

yellow 2/17

purple 6/17

so, the observed probability shows us a probability of blue in the next spin to be 3/17.

please note, that after that next (18th) spin all the observed probabilities have to be updated depending on the actual result.

so, if the result of spin 18 is indeed blue, the probabilities for spin 19 would change to

red 4/18

blue 4/18

green 2/18

yellow 2/18

purple 6/18

Answer:

B, E

Step-by-step explanation:

0 and 1.999 are greater than -2 yet within the number line

Answer:

0

4 and two-fifths

1.999

347,595

Step-by-step explanation:

Got it right.

Hope this helps!!!

Answer:

37-9=28

Step-by-step explanation:

it was 28 F then rose 9 which is 37 so 37-9 =28

The  equation is  37 - 9= x.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

After the temperature rose 9°F, the thermometer read 37°F.

let  x be the temperature before the 9º increase.

So, 37 - 9= x

x= 28°F.

Hence, the equation is  37 - 9= x.

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The probability that exactly 4 flights will arrive on time is 0.2508.

Answer:The probability that exactly 4 flights will arrive on time is 0.2508.The probability of a single flight arriving on time is 0.8. As a result, the probability of a single flight arriving late is 0.2. As a result, in a sample of 14 Southwest flights, the number of flights that arrive on time is represented by the random variable X, which follows a binomial distribution with n = 14 and p = 0.8.P(X = 4) = (14 C 4)(0.8)4(0.2)10= 1001 × 0.4096 × 0.00098= 0.4012%≈ 0.2508 (to 4 decimal places)The probability that exactly 4 flights will arrive on time is 0.2508. The 0.4096 in the formula is the probability that there will be 4 flights that arrive on time, while the (14 C 4) is the number of ways to pick 4 flights out of 14 flights without considering their sequence. The 0.00098 is the probability that there will be 10 flights that arrive late, assuming there are 4 flights that arrive on time.

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Answer:

a₁₁ = 37

Step-by-step explanation:

There is a common difference between consecutive terms, that is

1 - (- 3) = 5 - 1 = 9 - 5 = 13 - 9 = 4

This indicates the sequence is arithmetic with nth term

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 3 and d = 4 , then

a₁₁ = - 3 + (10 × 4) = - 3 + 40 = 37

The answer is in the link below I couldn't write it on Brainly bc my computer was being wack, but I hope I can help, I didn't only give the answer but there is a step by step so that should help you out a bit. Good Luck!!!!!!

First, we want to note two things:

We can describe this with an inequality:  x ≥ -10
Be sure you use ≥ and not >, since -10 is included.

We can describe this with interval notation: [ -10, infty )
Be sure you use [ and not ( on -10, since -10 is included.

You can also use set-builder notation: { x | x ≥ -10 }

Answer:

The equation of line is y = -4x -4.

Step-by-step explanation:

Given that:

Slope of the line = -4

Line passes through the point ( -3, 8)

The general equation of line is given by;

y - y1 =m(x-x1)

Putting the point and slope in equation

y - 8 = -4(x - (-3))

y - 8 = -4(x+3)

y - 8 = -4x - 12

y = -4x - 12 + 8

y = -4x -4

Hence,

The equation of line is y = -4x -4.

b < 45 represents the inequality of how many books can be put on the shelves.

An inequality is a mathematical statement that shows the relative size or ordering of two values. It is represented using symbols such as "<" (less than), ">" (greater than), "≤" (less than or equal to), "≥" (greater than or equal to), and "≠" (not equal to).

The inequality that represents how many books can be put on the shelves is:

b < 45

This inequality states that the number of books to be shelved, represented by b, must be less than 45 in order to fit on the bookshelf.

The inequality "b > 45" would represent a scenario in which the number of books to be shelved is greater than 45, which is not possible given the constraint that the bookshelf can hold a maximum of 45 books.

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Answer: x^6+6x^4+8x^2+2

Step-by-step explanation:

Since g comes after f then you will take g's equation and plug it into the f equation so it would turn out to be if you plugged it in

(x^2+2)^3-4(x^2+2)+2 which would equal x^6+6x^4+8x^2+2

Answer: x= 182 - 12x

Step-by-step explanation:

Answer:

a. 8 gallons

b. (11-0.75t) gallons

Step-by-step explanation:

a. Here in this question, we are told that the total amount of fuel in the fuel tank is 11 gallons and the car consumes 0.75 gallon per hour. We are interested in knowing the amount of fuel left in the tank after driving for four hours.

We proceed as follows;

Since 0.75 gallon is consumed in an hour, the amount of fuel consumed in 4 hours would be the amount consumed in an hour * 4 hours

Mathematically, that would be 0.75 * 4 = 3 gallon

Now, the amount of fuel left is simply the difference between the initial amount of fuel in the tank minus the amount of fuel present after 4 hours.

That would be; 11 - 3 = 8 gallons

b. Like above, we want to know the amount of fuel left after t hours.

Since 0.75 is used up per hour, the amount used up in t hours would be 0.75 * t = 0.75t

Now, the amount of fuel that would be left in the tank would be the difference between what we had initially and what was used up.

Mathematically, that would be 11- 0.75t

Answer:

four spaces to the left, and 6 spaces up.

The transformation of System A into System B is:

Equation [A2]+ Equation [A 1] → Equation [B 1]"

The correct answer choice is option D

How can we transform System A into System B?

To transform System A into System B as 1 × Equation [A2] + Equation [A1]→ Equation [B1] and 1 × Equation [A2] → Equation [B2].

System A:

-3x + 4y = -23 [A1]

7x - 2y = -5 [A2]

Multiply equation [A2] by 2

14x - 4y = -10

Add the equation to equation [A1]

14x - 4y = -10

-3x + 4y = -23 [A1]

11x = -33 [B1]

Multiply equation [A2] by 1

7x - 2y = -5 ....[B2]

So therefore, it can be deduced from the step-by-step explanation above that System A is ultimately transformed into System B as 1 × Equation [A2] + Equation [A1]→ Equation [B1] and 1 × Equation [A2] → Equation [B2].

The complete image is attached.

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

sorry for the photo quality but i dont hv aphone and use a laptop instead

Answer:

5

Step-by-step explanation:

By the Pythagorean Theorem:

\( {x}^{2} + {10}^{2} = {(5 \sqrt{5} )}^{2} \)

\( {x}^{2} + 100 = 125\)

\( {x}^{2} = 25\)

\(x = 5\)

The differential equation for the amount of pollutant y(t) in the lake is dy/dt = 550/yr - (y(t)/12200)(67.1 km^3/yr), where y(t) is measured in tons and t is measured in years. The solution to the differential equation is y(t) = (550/67.1)(1 - exp((-67.1/12200)t)) + 200000. As t goes to infinity, y(t) approaches 20818.5 tons.

The change in pollutant in the lake over a small time interval is given by the difference between the amount that enters the lake and the amount that leaves, plus the amount that is added directly:

dy/dt = (rate in) - (rate out) + (rate added)

The rate in and rate out are both equal to 67.1 km^3/yr, so we can substitute these values:

dy/dt = 550/yr - (y(t)/12200)(67.1 km^3/yr)

To solve the differential equation, we can use separation of variables:

dy/dt + (67.1/12200)y = 550/12200

Multiplying both sides by the integrating factor exp((67.1/12200)t), we get:

exp((67.1/12200)t)dy/dt + (67.1/12200)y exp((67.1/12200)t) = (550/12200)exp((67.1/12200)t)

This can be written as:

d/dt (exp((67.1/12200)t)y) = (550/12200)exp((67.1/12200)t)

Integrating both sides with respect to t,

exp((67.1/12200)t)y = (550/67.1)exp((67.1/12200)t) + C

where C is the constant of integration. We can find the value of C using the initial condition y(0) = 200000:

exp(0) * 200000 = (550/67.1)exp(0) + C

C = 200000 - (550/67.1)

Substituting this value back into the equation, we get:

exp((67.1/12200)t)y = (550/67.1)exp((67.1/12200)t) + 200000 - (550/67.1)

y(t) = (550/67.1)(1 - exp((-67.1/12200)t)) + 200000

As t goes to infinity, the exponential term exp((-67.1/12200)t) goes to zero, so y(t) approaches the steady state solution given by:

y(t) → (550/67.1) + 200000 ≈ 20818.5

In practical terms, this means that over time the amount of pollutants in the lake will approach a constant value of approximately 20818.5 tons. The rate at which the pollutants enter and leave the lake is balanced by the rate at which they are added directly, resulting in a steady state concentration of pollutants in the lake.

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You can use the given data to find the 5 information box plot needs to make and use the construction rule for box plot to select the best box plot among given options.

The box plot best representing the given observations is

Option B: Box plot with minimum value 9. 1, lower quartile 9. 2, median 9. 4, upper quartile 9. 7, and maximum value 9. 8

A box plot has 5 data description.

IQR(inter quartile range)  is the difference between third and first quartile.

The given data is

9.4, 9.2, 9.7, 9.8, 9.4, 9.7, 9.6, 9.3, 9.2, 9.1, 9.4

The sorted data in ascending order is

9.1, 9.2, 9.2, 9.3, 9.4, 9.4, 9.4, 9.6, 9.7, 9.7, 9.8

The mid value(6th here since there are 11 observations) is the median = 9.4

The minimum value is 9.1

The maximum value is 9.8

The first quartile is the average of the two mid values of the first 6 observation(it is because 6 is even, otherwise we'd've taken mid value)

It is (3rd value + 4th value)/2 =  9.25

The third quartile is the average of the two mid value of the last 6 observations.

It is (8th value + 9th value)/2 = (9.6 + 9.7)/2 = 9.65

The second option is best representing the given information compared to other options.

Thus,

The box plot best representing the given observations is

Option B: Box plot with minimum value 9. 1, lower quartile 9. 2, median 9. 4, upper quartile 9. 7, and maximum value 9. 8

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The hydrologic cycle, also known as the water cycle, plays a crucial role in the Earth's natural processes. It involves the continuous movement of water between the Earth's surface, atmosphere, and underground reservoirs.

The importance of the hydrologic cycle can be understood by considering its various functions:

Transport: The hydrologic cycle facilitates the transport of water across the Earth's surface, including rivers, lakes, and oceans. This movement of water is vital for the distribution of nutrients, sediments, and organic matter, which are essential for the functioning of ecosystems.

Weathering and Contaminant Transport: Water plays a significant role in weathering processes, such as erosion and dissolution of rocks and minerals. It also acts as a carrier for contaminants, pollutants, and nutrients, influencing their transport through the environment.

Energy Balance: Water has a high heat capacity, which means it can absorb and store large amounts of heat energy. This property helps regulate the Earth's temperature and climate by transporting heat through evaporation, condensation, and precipitation.

Greenhouse Gas: Water vapor is a major greenhouse gas that contributes to the Earth's natural greenhouse effect. It absorbs and re-emits thermal radiation, trapping heat in the atmosphere. Approximately 80% of the atmospheric greenhouse effect is attributed to water vapor.

Life: Water is vital for supporting life on Earth. It provides a habitat for numerous organisms and serves as a medium for various biological processes. Terrestrial life forms, including plants, animals, and humans, rely on water availability for their survival, growth, and reproduction.

It is important to note that while water is critical for most terrestrial life forms, human beings have developed technologies and systems that allow them to inhabit regions with limited water availability. However, water still remains a fundamental resource for human societies, and the hydrologic cycle plays a crucial role in ensuring its availability and sustainability.

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The first and third quartiles of the given data set are 7.5 and 15.

The median represents the middle number when a dataset is arranged in order. The median is the value that falls in the center when there are an odd number of values. The median is the average of the two center values when there are even more values.

The methods listed below can be used to determine the first and third quartiles of the provided data set:

Step 1: A data collection should be arranged in ascending order:

0 0 1 6 9 9 10 11 11 12 13 14 15 15 21 22

Step 2: Determine the data set's middle.

The median value in the data collection is known as the median. The median is the middle value when the number of values in the data collection is odd. The median is the average of the two middle values when the number of values in the data collection is even.

The data set in this instance contains 16 values, which is an even amount. In order to calculate the average, we select the two middle values:

Median = (11 + 12) / 2 = 11.5

Step 3: Calculate the first quartile (Q1).

In the bottom half of the data set, Q1 represents the median. The median of the bottom half of the data set must first be determined in order to determine Q1.

The lower half of the data set: 0 0 1 6 9 9 10 11

It is an even number since the bottom half of the data set contains 8 values. Consequently, we calculate the average of the two center values:

Median of lower half = (6 + 9) / 2 = 7.5

Therefore, Q1 = 7.5

Step 4: Calculate the third quartile (Q3).

The middle point of the data set's top half is Q3. The median of the top half of the data set must first be determined before we can determine Q3.

The upper half of the data set: 12 13 14 15 15 21 22

Seven values, an odd number, are present in the data set's top half. The median, then, is the midpoint of the range:

The median value for the top half is 15.

Therefore, Q3 = 15

Hence, the first and third quartiles of the given data set are 7.5 and 15, respectively.

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Answer:

The solution is (-1/2, -2)

Step-by-step explanation:

Given 6f-4g=1,6f-6g=5, write these in columnar form:

6f-4g=1

6f-6g=5

Change all of the signs in the first equation:

-6f + 4g = -1

 6f-6g=5

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

     -2g = 4, and so g = -2

Substituting -2 for g in either equation enables us to find f.  Let's use the first equation:    6f - 4(-2) = 5 yields 6f + 8 = 5, or 6f = -3

Then f = -1/2 and g = -2.  The solution is (-1/2, -2)

There are 23 small prints, 264 medium prints ,188 large prints and 42 extra large prints which are being sold by Mr. Carandang.

Given that there is total sales of 1790 prints of one of the drawings by Mr, Caradang. Out of which 1273 unframed prints, 152 were small, 544 were medium. Out of the framed prints 23 were small,42 were extra large. Out of large prints 188 were framed, 496 were unframed.

We are required to find the number of small prints,medium prints, large .extra large in total and  total framed print of the drawings.

Total framed print=Small print+Medium print+Large print+Extra large print

=23+264+188+42

=517

Unframed print:

Small=152

Medium=544

Large=496

Extra large=81

Total unframed print=Small+Medium+large+extra large

=152+544+496+81

=1273.

Hence there are 23 small prints, 264 medium prints ,188 large prints and 42 extra large prints which are being sold by Mr. Carandang.

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Answer:

6 (I believe so)

Step-by-step explanation:

9n-24=4n+6

9n=4n+30

5n=30

n=6

Answer:

n=6

Step-by-step explanation:

9n - 24 = 4n + 6

-4n          -4n

5n - 24 = 6

     +24    +24

5n = 30

divide both sides by 5

n = 6

hope this helps!!!

Answer:310.45

Step-by-step explanation:

Over time, project managers can monitor the project's performance, identify potential issues, make informed decisions, and take corrective actions to keep the project on track in terms of both schedule and budget.

This captures the project's performance by examining schedule and budget in monetary terms over time through a process known as Earned Value Management (EVM). EVM is a project management technique that integrates the measurement of project scope, schedule, and cost, providing valuable insights into the project's progress and performance.

In EVM, key performance indicators are calculated to assess the project's performance against the planned schedule and budget. The following metrics are commonly used:

1. Planned Value (PV): This represents the authorized budget for the planned work scheduled to be completed up to a specific point in time. It indicates the value of work that was scheduled to be done.

2. Earned Value (EV): This reflects the value of the work that has actually been completed at a given point in time, based on the project's performance measurement.

3. Actual Cost (AC): This represents the actual costs incurred for the work completed up to a specific point in time.

Using these metrics, several performance indicators can be derived:

- Schedule Performance Index (SPI): SPI = EV / PV. This indicates the efficiency of the project schedule, with a value greater than 1 indicating a schedule ahead of or on track, and less than 1 indicating a schedule delay.

- Cost Performance Index (CPI): CPI = EV / AC. This measures the cost efficiency of the project, with a value greater than 1 indicating cost savings, and less than 1 indicating cost overruns.

- Variance at Completion (VAC): VAC = BAC - EAC. This represents the difference between the Budget at Completion (BAC) and the Estimate at Completion (EAC). It provides an estimate of the expected cost deviation at project completion.

By analyzing these metrics and indicators over time, project managers can monitor the project's performance, identify potential issues, make informed decisions, and take corrective actions to keep the project on track in terms of both schedule and budget.

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