what is the slope of a line in hat is parallel to the following: y = 3x - 4

Answer:

A: 2 X 3/4= 1.5

B: 3 X 2/4= 1.5

C: 4 X 1/3= 4.3 (recurring)

D: 4 X 2/3= 2.66666667

5) (exact number) 2011.68

don't understand what number six is asking :/

Answer:

The answer is C

Step-by-step explanation:

All I did was try to match C with F. Count how many lines you went to the right and thats your x value. Same for Y but down. Down forgot to add integers.

The probability computed is <0.8967,0.1033> which roughly shows that, as 90 days pass by, the probability that it will rain on a given day will be increasing monotonically towards a fixed point.    

The chance that an event will occur ranges between 0 and 1. Where 0 shows that the event is impossible to occur and 1 shows that the event is bound to occur. If the chance of occurring an event is more than the chance of its not occurring then, it is more likely that the event will occur.

If we take the example of tossing a coin, we can say that the probability that a head will occur or a tail will occur will remain the same, i.e., 50%. The occurrence of heads or tails is equally likely.

These mathematical standards are used in varied fields of gambling, technology, finance, architecture, philosophy, science, etc.

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The number of books taken by each student is 6.

Average is defined as the ratio of the sum of the number of the data sets to the total number of the data. The average actually determines the middle value of the data.

Given that the total number of books checked out of the library at your high school is 14,400 and the student population is about 2400.

The average is calculated by dividing the sum of the total number of items by the total counts of the items.

Average = 14400 / 2400

Average = 6

Therefore, the number of books taken by each student is 6.

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Answer:

Step-by-step explanation:

d. the plant management believes that an increase in ambient temperature of 1 degree fahrenheit is associated with an increase in average monthly steam consumption of 10 thousand pounds. do the data support this statement? explain. (hint: perform a hypothesis test.)

Answer:

Perimeter: 22cm Area: 24cm^2

Step-by-step explanation:

To find perimeter we add all the sides together. There are two missing sides in this picture.

The bottom one is found by adding the two top lines 4 + 2 = 6

The one on the right can be found by subtracting the left line and the given right line 5 - 2 = 3.

Now we have all the lines, add them together we get 22cm!

Now, there are two ways to find the area. Of course I’m going to show the one I prefer.

Imagine the chunk in the top right is not missing; what would the area of the rectangle be? 30cm^2

And now what’s the area of the missing chunk?

Our given line multiplied by the one we calculated for: 6cm^2

Now subtract the whole rectangle minus the piece we are missing 30 - 6 = 24cm^2

The volume is given by the integral 4π∫[0,1/2] \(y^2\) dy, resulting in a volume of π/6.

To find the volume of the solid obtained by rotating the region bounded by the curves x = 2y, y = 1, and x = 0 about the y-axis, we can use the method of cylindrical shells.

The height of each cylindrical shell will be given by the difference between the x-values of the curves x = 2y and x = 0, which is x = 2y. Since we are rotating about the y-axis, the radius of each shell will be the value of y.

The integral that represents the volume is given by:

V = ∫[a,b] 2πy(x) dy

Where a and b represent the bounds of the y-values.

The curve x = 2y intersects y = 1 when 2y = 1, so y = 1/2. Therefore, the bounds of integration for y are 0 to 1/2.

The integral becomes:

V = ∫[0,1/2] 2πy(2y) dy

Simplifying, we have:

V = 4π∫[0,1/2] \(y^2\) dy

Evaluating the integral, we get:

V = 4π * [\((1/3)(1/2)^3\)-\((1/3)(0)^3\)]

V = 4π * (1/24)

V = π/6

Therefore, the correct integral that represents the volume of the solid is 4π∫[0,1/2]\(y^2\) dy, and the volume of the solid is π/6.

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Answer:

x = 3

Step-by-step explanation:

x+5=8

x+5-5=8-5

X=3

Answer:

x = 3

Step-by-step explanation:

basically 2 ways

1st: Transposing

1) x + 5 = 8

2) transpose or transfer +5 to the other side

NOTE: transposing numbers and variables switches the signs (positive -> negative and vice versa)

3) x = 8 - 5

x = 3

2nd: Property of Equality (whatever u do one one side, you do the same to the other)

1) x + 5 = 8

2) x + 5 - 5 = 8 - 5

x = 3

the main focus is to isolate x, or to make it be alone in one side of the equation

Answer:

$450

Step-by-step explanation:

The TV is on sale for 20% off.

The original price is $90 more than the sale price.

Discount on TV = 20% of total.

\(.2x = 90\)

Divide both sides by .2 to solve for x.

\(\frac{0.2x}{.2} = \frac{90}{.2}\)

\(x = $450\)

The value of the function f(x) = log(x) at x = 25.5 is approximately 3.232.

To evaluate the function f(x) = log(x) at x = 25.5, we substitute the given value into the logarithmic expression:

f(25.5) = log(25.5)

Using a calculator, we can find the numerical value of the logarithm:

f(25.5) ≈ 3.232

Rounding the result to three decimal places, we have:

f(25.5) ≈ 3.232

Therefore, the value of the function f(x) = log(x) at x = 25.5 is approximately 3.232.

It's important to note that the logarithm function returns the exponent to which the base (usually 10 or e) must be raised to obtain a given number. In this case, the logarithm of 25.5 represents the exponent to which the base must be raised to obtain 25.5. The numerical approximation of 3.232 indicates that 10 raised to the power of 3.232 is approximately equal to 25.5.

The answer options provided in the question do not include the accurate result, which is approximately 3.232.

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Answer: $87

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer d

because if we use option a then second part of the question will not satisfy

if we use option b then first part will not satisfy

hence.this question has no solution

Answer:

This Problem has no answer

Step-by-step explanation:

if you have 1 variable you at least 2 facts that aren't the same to solve for the variable

Answer:

This problem does not have a definite answers

It can have infinite answers

Mae's walking speed is 10 miles per hour. This is calculated by considering the given information.

Let's assume Mae's walking speed is represented by the variable "x" (in miles per hour). According to the given information, her jogging speed would then be "x + 12.5" miles per hour.

To calculate Mae's exercise time, we can use the formula: time = distance / speed.

Mae jogs 27 miles at a speed of "x + 12.5" miles per hour, so her jogging time can be calculated as:

jogging time = 27 / (x + 12.5)

Mae walks an additional 3 miles at a speed of "x" miles per hour, so her walking time can be calculated as:

walking time = 3 / x

The total exercise time is given as 3 hours. Therefore, we can set up the equation:

jogging time + walking time = 3

Substituting the calculated values, we get:

27 / (x + 12.5) + 3 / x = 3

To solve this equation, we can start by multiplying all terms by x(x + 12.5) to eliminate the denominators:

27x + 27 * 12.5 + 3(x + 12.5) = 3x(x + 12.5)

Simplifying the equation:

\(27x + 337.5 + 3x + 37.5 = 3x^2 + 37.5x\)

Combining like terms:

\(30x + 375 = 3x^2 + 37.5x\)

Rearranging the terms to set the equation equal to zero:

\(3x^2 + 7.5x - 375 = 0\)

To solve this quadratic equation, we can use the quadratic formula:

x = (-b ± √(\(b^2\) - 4ac)) / (2a)

In this case, a = 3, b = 7.5, and c = -375. Substituting these values into the quadratic formula:

x = (-7.5 ± √(\(7.5^2\) - 4 * 3 * -375)) / (2 * 3)

x = (-7.5 ± √(56.25 + 4500)) / 6

x = (-7.5 ± √(4556.25)) / 6

Calculating the square root:

x = (-7.5 ± 67.5) / 6

Simplifying further:

x = (60 / 6) or x = (-75 / 6)

Since Mae's walking speed cannot be negative, the solution is x = 10.

Therefore, Mae's walking speed is 10 miles per hour.

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The complete question is:

For exercise, Mae jogs 27 miles then walks an additional 3 miles to cool down. If her jogging speed is 12.5 miles per hour faster than her walking speed and her total exercise time is 3 hours, what is her walking speed? The athlete's walking speed is

Answer:

42

Step-by-step explanation:

In this question, we have the find the rate of change in the sequence.

To find this, we need to find how much the sequence is changing by.

We know from 60 to 51 is -9, so we know that our sequence is changing by -9.

To find our unknown number, we would subtract 9 from 51.

51 - 9 = 42

Our missing number in the sequence is 42.

We can check our answer by subtracting 9 from 42. This gives us our next number, which is 33.

42 would be your answer.

Answer: Greater than the actual product

Step-by-step explanation: Trust

We need to find the function f(n) whose terms are the same as the series in question. We can then integrate this function from n=1 to infinity and determine if the integral is convergent or divergent. If it is convergent, then the series is convergent. If it is divergent, then the series is also divergent.

To determine whether a series is convergent or divergent using the integral test, we need to first check if the series satisfies three conditions:

1) The terms of the series are positive.

2) The terms of the series are decreasing.

3) The series has an infinite number of terms.

Assuming these conditions are satisfied, we can use the integral test which states that if the integral of the function f(x) from n=1 to infinity is convergent, then the series with terms a_n = f(n) is also convergent. Conversely, if the integral is divergent, then the series is also divergent.

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The turning point of the function is (37, -232)

From the question, we have the following parameters that can be used in our computation:

y = f(x) has a turning point of (-33, 22)

For the transformed function f(x + 70) -254, we have

Turning point = (-33 + 70, 22 - 254)

Evaluate the like terms

Turning point = (37, -232)

Hence, the turning point is (37, -232)

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Answer:

To calculate the edge length, take the cube root of the total volume of the cube.

Step-by-step explanation:

hope this helps ! :)

The formula that shows the dependence of the edge length 'a' on volume V of a cube will be a = ∛V.

All the edges of the cube are congruent with each other. Suppose that: The side length of the considered cube is 'a' units. Then, we get:

Volume of that cube = a³ cubic units.

Solve the equation for 'a', then we have

V = a³

a³ = V

a = ∛V

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Answer:

0

Step-by-step explanation:

1 on the x axis us 0 on the y axis

The number of envelopes left to address by Sani is at most 51 .

And Messages > 10 to have unlimited plan cheaper than paying for each messages.

At least numbers of envelopes Sani has = 68

Number of envelops he addressed = 17

Let x be the number of envelopes that Sani has left to address.

Then we have,

x ≤ 68 - 17

Simplifying this inequality, we get,

x ≤ 51

Sani has at most 51 envelopes left to address.

Cost per text message send or received by Nadine = $0.5

Cost pf unlimited number of text message send or received = $5

Let m be the number of messages Nadine sends or receives.

Then the cost of paying for each message is,

0.5m

The cost of the unlimited plan is $5.0.

The number of messages m such that,

5.0 ≤ 0.5m

Simplifying this inequality, we get,

⇒ 10 ≤ m

If Nadine sends or receives more than 10 messages, the unlimited plan is cheaper than paying for each message.

So the solution to the inequality is m > 10.

Therefore, number of message Sani left to address is at most 51 envelopes .

And to have unlimited plan cheaper than paying for each messages for Nadine is m > 10.

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Step-by-step explanation:

10^2   +    10^6    +   10^1    =    10 ^(2+6+1)  = 10 ^9

Answer: y = 1

Step-by-step explanation:

y = 2(-1) +3

y = -2 + 3

y = 1

In a given permutation of 52 cards, if the 3 of spades is to follow all of the hearts, that means the 3 of spades must be at least the 14th card in the deck.

Consider some possible orderings of the deck:

• If the 3 of spades is the 14th card, then the deck looks like

[all 13 ♥] … 3 ♠ … [all other 38 cards]

There are 13! ways to arrange the 13 hearts at the beginning and 38! ways to arrange the tail of 38 cards. Hence there are 13! × 38! possible rearrangements of the deck where 3 ♠ is the 14th card.

• If 3 ♠ is the 15th card, then the deck looks like

[13 ♥ and 1 other] … 3 ♠ … [all other 37 cards]

and there would be 14! × 37! ways of arranging the cards in this order.

There are 39 possible positions for 3 ♠. Extrapolating, it follows that the total number of permutations of the deck in which all hearts occur before 3 ♠ is

\(\displaystyle \sum_{k=0}^{38} (13+k)! \times (38-k)!\)

There are 52! total possible ways of rearranging the deck. Then the probability of rearranging the deck so that all hearts are drawn before 3 ♠ is

\(\displaystyle \frac1{52!} \sum_{k=0}^{38} (13+k)! \times (38-k)! = \frac{87,031,512,096,420,449}{221,360,321,731,856,907,600} \approx \boxed{0.000393}\)

Answer:

69

Step-by-step explanation:

let the first term be n

second term = 2 + n

third term = 3 + second term so we can conclude that the other term will be:

forth term = 4 + third term

fifth term = 5 + forth term etc.

eleventh term will be 11 + 10 term

based on observations the tenth term is 58 so

eleventh term= 11 + 58

= 69

a. Compute the mean, median, and mode.

Mean: Sum of all data points / Number of data points

Mean = (7 + 4 + 9 + 7 + 3 + 12) / 6 = 42 / 6 = 7

Median:

Arranging the data points in ascending order: 3, 4, 7, 7, 9, 12

Since we have an even number of data points, the median is the average of the middle two values.

Median = (7 + 7) / 2 = 14 / 2 = 7

Mode:

The mode is the value that appears most frequently in the data set.

In this case, the mode is 7 because it appears twice, which is more than any other value.

b. Compute the range, variance, standard deviation, and coefficient of variation.

Range:

Range = Maximum value - Minimum value

Range = 12 - 3 = 9

Variance:

Variance measures the average squared deviation from the mean.

Variance = [(7-7)^2 + (4-7)^2 + (9-7)^2 + (7-7)^2 + (3-7)^2 + (12-7)^2] / 6

Variance = (0 + 9 + 4 + 0 + 16 + 25) / 6 = 54 / 6 = 9

Standard Deviation:

Standard Deviation = √Variance = √9 = 3

Coefficient of Variation:

Coefficient of Variation = (Standard Deviation / Mean) * 100

Coefficient of Variation = (3 / 7) * 100 = 42.86%

c. Compute the Z scores. Are there any outliers?

The Z score measures how many standard deviations a data point is from the mean.

Z score = (Data point - Mean) / Standard Deviation

Z scores for each data point:

Z1 = (7 - 7) / 3 = 0

Z2 = (4 - 7) / 3 = -1

Z3 = (9 - 7) / 3 = 2/3

Z4 = (7 - 7) / 3 = 0

Z5 = (3 - 7) / 3 = -4/3

Z6 = (12 - 7) / 3 = 5/3

Based on the Z scores, there are no data points that are considered outliers (typically defined as Z score > 3 or < -3).

d. Describe the shape of the data set.

Based on the given data, it is difficult to determine the exact shape of the data set without a visual representation. However, with the mean, median, and mode all equal to 7, we can infer that the data set is roughly symmetrical. Further analysis, such as constructing a histogram or a box plot, would provide a better understanding of the data distribution and shape.

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The given equation is a recursive formula where a subscript i equals the product of a subscript i-1 and 2, with the initial value of a subscript 1 being -4a.

The equation represents a recursive relationship between the terms of the sequence. Starting with the initial term, a subscript 1, the subsequent terms are determined by multiplying the previous term, a subscript i-1, by 2. This recursive formula can be written as a subscript i = a subscript i-1 * 2.

Given that a subscript 1 = -4a, we can use this initial value to find the subsequent terms of the sequence. To calculate a subscript 2, we substitute i = 2 into the formula:

a subscript 2 = a subscript 2-1 * 2 = a subscript 1 * 2 = -4a * 2 = -8a.

Similarly, for a subscript 3:

a subscript 3 = a subscript 3-1 * 2 = a subscript 2 * 2 = -8a * 2 = -16a.

By applying the recursive formula repeatedly, we can generate the terms of the sequence. Each term is obtained by multiplying the previous term by 2.

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Answer:

it should be 250m

Step-by-step explanation:

Bus X travels 40m for 2h which gives you 80m and Bus Y travels 60m for 11/2h which gives you 330m so the difference in miles is 250m