Find the answer please

Answer:

Option C

only there is p > -3

p < 6

Answer:

c

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

3x+4=x+12

     -4    -4

3x=x+8

-x   -x

2x=8

/2   /2

x=4

The big-O estimate for the number of operations in this segment of the algorithm is O(n), where n represents the input size.

To give a big-O estimate for the number of operations used in a segment of an algorithm, we need more specific information about the segment and its complexity. Big-O notation provides an upper bound on the growth rate of the algorithm as the input size increases.

If the segment involves a loop that iterates n times, and each iteration performs a constant number of operations (additions or multiplications), then the complexity would be O(n). This means that the number of operations increases linearly with the input size.

However, without further details about the specific segment or the algorithm's overall structure, it is challenging to provide a more accurate estimation. The complexity analysis requires examining the code's control flow and considering factors such as nested loops or recursion.

In summary, the big-O estimate for the number of operations in this segment of the algorithm is O(n), where n represents the input size.

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Answer:

62.22%

Step-by-step explanation:

First, find how many total marbles there are:

12 + 11 + 17 + 5

= 45

Then, find how many marbles that are not blue:

12 + 11 + 5

= 28

Then, divide 28 by 45, and multiply by 100

(28/45) x 100

= 62.22% is the probability of not choosing a blue marble

Accοrding tο the given infοrmatiοn, a linear relatiοnship between time and pοpulatiοn οccurs when the change in pοpulatiοn οver a given periοd is cοnstant οr prοpοrtiοnal tο the pοpulatiοn size at the beginning οf the periοd.

In a graph, a linear relatiοnship is a pattern in which the pοints οn a scatter plοt tend tο fall alοng a straight line. A linear relatiοnship means that there is a cοnstant rate οf change between twο variables, such that when οne variable increases by a certain amοunt, the οther variable increases οr decreases by a cοnstant amοunt as well.

A situatiοn in which a city's pοpulatiοn grοws at a cοnstant rate οver time wοuld exhibit a linear relatiοnship between time and pοpulatiοn. As time passes, the pοpulatiοn wοuld increase by a fixed amοunt. This is an example οf linear grοwth, and it cοuld be mοdeled by a linear equatiοn such as P = mt + b, where P is the pοpulatiοn, m is the slοpe (the rate οf grοwth), t is time, and b is the initial pοpulatiοn at time t=0.

Similarly, if a pοpulatiοn is decreasing by a fixed percentage each year, then the relatiοnship between time and pοpulatiοn will alsο be linear. As time passes, the pοpulatiοn will decline by a cοnstant percentage οf the previοus year's pοpulatiοn.

In general, a linear relatiοnship between time and pοpulatiοn οccurs when the change in pοpulatiοn οver a given periοd is cοnstant οr prοpοrtiοnal tο the pοpulatiοn size at the beginning οf the periοd.

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The number of driving lessons you need to take with a professional instructor before your parents can teach you varies depending on the regulations in your area. In some regions, a specific number of driving lessons is required by law before you can apply for your driver's license. As a result, you should check with your local Department of Motor Vehicles (DMV) or other regulatory agency to learn more about the specific requirements in your area.

In general, however, it is usually beneficial to take as many driving lessons as possible with a professional instructor. Professional driving instructors have been educated in how to teach driving skills safely and effectively. They have also assisted many other people in learning how to drive, and as a result, they have a wealth of knowledge and expertise to draw on.

The more driving lessons you take with a professional instructor, the more chances you'll have to learn and improve your driving abilities. You may be able to practice with your parents after only a few lessons, but it's generally a good idea to take as many as possible with an instructor before doing so. This will give you the best chance of success while you learn to drive safely and confidently.

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In "Dreams from My Father," Obama's embarrassment on his first day of school is caused by his classmates' questions about his father (Option A).

In the book "Dreams from My Father" by Barack Obama, the author recounts his experiences growing up and exploring his identity. On his first day of school, Obama feels embarrassed due to his classmates' questions about his father. As a biracial child with a Kenyan father and American mother, Obama grapples with understanding his roots and fitting in with his peers.

The questions from his classmates about his father highlight his sense of otherness and make him feel self-conscious. This early experience shapes Obama's journey of self-discovery and his exploration of race, identity, and belonging throughout the memoir. It emphasizes the challenges he faced in navigating his multicultural background and the impact it had on his sense of self and personal growth.

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18 handshakes take place.

Given that four politicians and three lawyers attend a party. Each politician shakes hands exactly once with everyone, and each lawyer shakes hands exactly once with each politician. We need to find out the number of handshakes that take place. So, we can solve it as below:

First, let us find out how many handshakes take place among politicians. Since there are four politicians and each politician shakes hands exactly once with everyone. Thus, the total number of handshakes that take place between politicians = 3 + 2 + 1 = 6

Next, let us find out how many handshakes take place between lawyers. Since there are three lawyers and each lawyer shakes hands exactly once with each politician. Thus, the total number of handshakes that take place between lawyers and politicians = 3 × 4 = 12

Therefore, the total number of handshakes = Number of handshakes between politicians + Number of handshakes between lawyers and politicians= 6 + 12= 18

Hence, 18 handshakes take place.

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The variables are evaluated to give;

1. 2

2. 6

An algebraic expression can be defined as an expression that is made up of terms, variables, coefficients, factors and constants.

These expressions are also thought to consist of mathematical or arithmetic operations such as;

From the information given, we have that;

A=1 b=2 c=3 x=3 y=2 z=1

1. ab

Let's substitute the values into the formula

1(2)

Multiply the values

2

2. Abc

Substitute the values

(1)(2)(3)

multiply the values

6

Hence, the values are 2 and 6

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Answer:

I think the awnser is probably b

Answer:

m=3.5h

Step-by-step explanation:

Just by looking at this, you know that it won't be either of the adding equations because it only works for the bottom input and output. So, we'll just look at the multiplying ones.

We know that multiplying should get us a bigger number (unless it's a fraction), so the equation h=3.5m won't work very well with this because h would be getting smaller not bigger.

That leaves us with m=3.5h.

To check this, I'll multiply 3.5 by 4 to see if it equals what m is on the table. Sure enough, it's 14. This also works with 2.5 and 8.75.

Answer:

45

Step-by-step explanation:

From the figure given, TV and RS are parallel.

Therefore, angle VTS and angle RST equal (Alternate angles)

Thus, angle VTS = angle RST = x

Angle T + angle S + angle R = 180° (sum of angles in a triangle)

2x + x + x = 180

4x = 180

Divide both sides by 4 to solve for x

x = 180/4

x = 45

The value of x in each case is 45

If we input 45 as a value of x in the angles in the triangle, the sum of what we have will give us 180°.

Answer:45

Step-by-step explanation:

Answer:

38

Step-by-step explanation:

35 - {15 - (19 + 5)} ÷ 3

35 - {15 - (24)} ÷ 3

35 - {15 - 24} ÷ 3

35 - {-9} ÷ 3

35 + 9 ÷ 3

35 + 3

38

Answer:

28

Step-by-step explanation:

35 - (15 - (19 + 5) ÷ 3 ) ← evaluate inner parenthesis

= 35 - (15 - 24 ÷ 3) ← evaluate division before subtraction

= 35 - (15 - 8)

= 35 - 7

= 28

(a)The amount of water in the tank is increasing.

(b)Evaluate  \(\int\limits^{18}_0(W(t) - R(t)) dt\) to get the number of gallons of water in the tank at t = 18.

(c)Solve part (b) to get the absolute minimum from the critical points.

(d)The equation can be set up as   \(\int\limits^k_{18}-R(t) dt = 1200\) and solve this equation to find the value of k.

What is the absolute value of a number?

The absolute value of a number is its distance from zero on the number line. It represents the magnitude or size of a real number without considering its sign.

To solve the given problems, we need to integrate the given rates of water flow to determine the amount of water in the tank at various times. Let's go through each part step by step:

a)To determine if the amount of water in the tank is increasing at time t = 15, we need to compare the rate of water being pumped in with the rate of water being removed.

At t = 15, the rate of water being pumped in is given by \(W(t) = 95Vt sin^2(\frac{t}{6})\) gallons per hour. The rate of water being removed is \(R(t) = 275 sin^2(\frac{1}{3})\) gallons per hour.

Evaluate both rates at t = 15 and compare them. If the rate of water being pumped in is greater than the rate of water being removed, then the amount of water in the tank is increasing. Otherwise, it is decreasing.

b) To find the number of gallons of water in the tank at time t = 18, we need to integrate the net rate of water flow from t = 0 to t = 18. The net rate of water flow is given by the difference between the rate of water being pumped in and the rate of water being removed. So the integral to find the total amount of water in the tank at t = 18 is:

\(\int\limits^{18}_0(W(t) - R(t)) dt\)

Evaluate this integral to get the number of gallons of water in the tank at t = 18.

c)To find the time t when the amount of water in the tank is at an absolute minimum, we need to find the minimum of the function that represents the total amount of water in the tank. The total amount of water in the tank is obtained by integrating the net rate of water flow over the interval [0, 18] as mentioned in part b. Find the critical points and determine the absolute minimum from those points.

d. For t > 18, no water is pumped into the tank, but water continues to be removed at the rate R(t) until the tank becomes empty. To find the value of k, we need to set up an equation involving an integral expression that represents the remaining water in the tank after time t = 18. This equation will represent the condition for the tank to become empty.

The equation can be set up as:

\(\int\limits^k_{18}-R(t) dt = 1200\)

Here, k represents the time at which the tank becomes empty, and the integral represents the cumulative removal of water from t = 18 to t = k. Solve this equation to find the value of k.

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The new variance is 0.0625 / n

We can use the following formula to calculate the variance of a data set

variance = (sum of (x - mean)^2) / (number of data points)

where x is a data point and mean is the mean of the data set.

If the mean cost of a box of Cheerios Oat Crunch is $4.00 and the variance is 0.35, we can find the standard deviation as follows

standard deviation = square root of variance = sqrt(0.35) = 0.59

Now, if the price increases by 25 cents a box, the new mean cost will be

new mean = $4.00 + $0.25 = $4.25

To find the new variance, we need to calculate the sum of (x - mean)^2 for the new data set and divide by the number of data points. Let's assume we are still considering the same number of boxes.

sum of (x - mean)^2 = [(4.25 - 4)^2 × n] = 0.0625 × n

where n is the number of data points.

Therefore, the new variance can be calculated as

new variance = (sum of (x - mean)^2) / (number of data points) = 0.0625 / n

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To find the smallest and largest values of x when the function\(f(x) = (3/2)x^3 - 2x^2 - 10x + 8\) has a slope of 0, we need to determine the critical points of the function. The smallest value of x corresponds to the local minimum point, while the largest value of x corresponds to the local maximum point.

To find the critical points, we need to calculate the derivative of the function f(x) with respect to x and set it equal to 0. Taking the derivative of f(x), we get \(f'(x) = 4.5x^2 - 4x - 10.\) To find the critical points, we set f'(x) = 0 and solve for x.

Setting \(4.5x^2 - 4x - 10 = 0\), we can use the quadratic formula or factoring to find the values of x. However, in this case, the quadratic equation does not factor easily, so we can use the quadratic formula: \(x = (-b ± √(b^2 - 4ac)) / 2a\). Substituting the values a = 4.5, b = -4, and c = -10 into the quadratic formula, we can find the two values of x corresponding to the critical points.

Once we have the critical points, we can determine which one represents the local minimum (the smallest x value) and which one represents the local maximum (the largest x value). By analyzing the concavity of the function or evaluating the second derivative, we can determine which critical point is the minimum and which one is the maximum.

In this case, the smallest value of x corresponds to the local minimum, while the largest value of x corresponds to the local maximum.

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Answer:

3

Step-by-step explanation: 15 divided by 3 is 5, 30 divided by 3 is 10

Answer:

s=3

Step-by-step explanation:

To solve this problem, you must assume that angle QPS is the same as angle QRS, which makes it both equal to 110°. The entire triangle should be equal to 180°, which means that 180 is equal to 2(11s+2). If you subtract 110 from 180, you get 70°=22s+4, which leads to 66=22s, and s is equal to 3.

Answer:

s=3

Step-by-step explanation:

180 is equal to 2(11s+2).

You will need to subtract 110. 70°=22s+4

66=22s,

Hence, s is equal to 3.

Answer:

Total Number of students taking Math and History and not music are 68.

Number of students who took both math and history at the same time is 6.

Step-by-step explanation:

History = 30

Math = 32

Music= 33

Math and Music= 9

History and Music= 13

History and Music and Math = 2

History but not math = 14

We have to find students taking history and math but not music.

Total number of students = 125

From the figure  number of students taking Math and History and not music are

=30+6+32= 68

Number of students who took both math and history at the same time is 6.

To approximate the integral 2∫1 e^(-x^2) dx using Simpson's Rule with h = 1/4, we divide the interval [1, 2] into subintervals of length h and use the Simpson's Rule formula.

The result is an approximation for the integral. To find an upper bound for the error, we can use the error formula for Simpson's Rule. By evaluating the fourth derivative of the function over the interval [1, 2] and applying the error formula, we can determine an upper bound for the error.To apply Simpson's Rule, we divide the interval [1, 2] into subintervals of length h = 1/4. We have five equally spaced points: x₀ = 1, x₁ = 1.25, x₂ = 1.5, x₃ = 1.75, and x₄ = 2. Using the Simpson's Rule formula:

2∫1 e^(-x^2) dx ≈ h/3 * [f(x₀) + 4f(x₁) + 2f(x₂) + 4f(x₃) + f(x₄)],

where f(x) = e^(-x^2).

By substituting the x-values into the function and applying the formula, we can calculate the approximation for the integral.

To find an upper bound for the error, we can use the error formula for Simpson's Rule:

Error ≤ ((b - a) * h^4 * M) / 180,

where a and b are the endpoints of the interval, h is the length of each subinterval, and M is the maximum value of the fourth derivative of the function over the interval [a, b]. By evaluating the fourth derivative of e^(-x^2) and finding its maximum value over the interval [1, 2], we can determine an upper bound for the error.

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0 about the x-axis is π/3

To obtain the volume of the solid by rotating the region bounded by the curves y = 1 − x² and y = 0 about the x-axis, follow the following steps:Step 1: Determine the interval of integration by equating the two equations and solving for x. 1 − x² = 0 x² = 1 x = ± 1Since the region is being revolved about the x-axis, the interval of integration would be [-1, 1]. Step 2: Find the expression of the cross-section. The cross-section of the solid would be a disk with radius y and thickness dy. Therefore, the expression for the cross-section would be π(y²) Step 3: Find the integral. V = π∫₀¹ (y²) dy= π (y³/3)|₀¹= π (1³/3 - 0³/3) = π/3. Hence, the volume of the solid obtained by rotating the region bounded by the curves y = 1 − x² and y = 0 about the x-axis is π/3.

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The probability of answering a question correctly is 0.7 + 0.3/N.

Given: N answer choices for each question; a student knows the answer to 70% of the questions; and the student guesses uniformly and at random for remaining 30% of the questions.

Let K be the event that the student knows the answer to a question and R be the event that the student answers the question correctly.

The probability of event K can be calculated as:

P(K) = 0.7The probability of event K' (not knowing the answer) can be calculated as:

P(K') = 0.3The probability of event R given K can be calculated as:

P(R|K) = 1The probability of event R given K' can be calculated as:P(R|K') = 1/N

Therefore, the probability of event R can be calculated using the law of total probability:

P(R) = P(K)P(R|K) + P(K')P(R|K')P(R)

= 0.7 × 1 + 0.3 × (1/N)P(R)

= 0.7 + 0.3/N

Therefore, the probability of answering a question correctly is 0.7 + 0.3/N.

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Answer:

$398.40 for 160 feet of lumber based on $2.49 per foot.

Step-by-step explanation:

Simply multiply 160 by 2.49 and get $398.40.

Answer:

Since, the coordinates of the midpoint of line GH are M(\frac{-13}{2}, -6)(

2

−13

,−6) .

The coordinates of endpoint G are (-4,1)

We have to determine the coordinates of endpoint H.

The midpoint of the line segment joining the points (x_1, y_1)(x

1

,y

1

) and (x_2, y_2)(x

2

,y

2

) is given by the formula (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})(

2

x

1

+x

2

,

2

y

1

+y

2

) .

Here, The endpoint G is (-4,1) So, x_1 = -4 , y_1=1x

1

=−4,y

1

=1

Let the endpoint H be (x_2,y_2)(x

2

,y

2

)

The midpoint coordinate M is (\frac{-13}{2}, -6)(

2

−13

,−6) .

So, \frac{-13}{2} = \frac{-4+x_2}{2}

2

−13

=

2

−4+x

2

{-13} = {-4+x_2}−13=−4+x

2

{-13}+4 = {x_2}−13+4=x

2

{x_2}=9x

2

=9

Now, -6 = \frac{1+y_2}{2}−6=

2

1+y

2

-12 = {1+y_2}−12=1+y

2

y_2= -13y

2

=−13

So, the other endpoint H is (-9,-13).

Based on the scatter plot, the meaning of the slope in this scenario is that: The slope of the line of best fit is 0.25. Each time the shoe size increases by one, the height increases by 0.25 inches.

In this scenario, the woman's shoe size would be plotted on the x-axis of the scatter plot while her height would be plotted on the y-axis of the scatter plot.

From the Excel sheet, you should right click on a data point on the scatter plot, select format trend line (line of best fit) and then tick the box to display an equation for the line of best fit on the chart.

By critically observing the scatter plot (see attachment) which models the data in the given table, we can reasonably and logically deduce that an equation for the line of best fit is given by:

y = 0.25x + 66.6

In conclusion, the slope of this line is 0.25, which implies that when the shoe size is increased by one (1), the height is increased by 0.25 inches.

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Answer:  

area = pi*24^2/4 = 452 yd^2

so that means you will need 452/59 = 7.6 (or 8) gallons

The selling price of the necklace at the store is $32.64.

To calculate the selling price of the necklace, we will first find the markup amount and then add it to the original cost.

Markup = (Original Cost) x (Markup Percentage)
Markup = $24 x 36% = $24 x 0.36 = $8.64

Now, add the markup amount to the original cost to find the selling price:

Selling Price = Original Cost + Markup
Selling Price = $24 + $8.64 = $32.64

So, the selling price of the necklace at the store is $32.64.

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Answer:

9x^2 - 24x + 16 is area in terms of x alternativly (3x-4)^2 is also true

Step-by-step explanation:

L * W =  area  length = width on a sqare so L * L = area too

(3x - 4) * (3x - 4)

use foil method

9x^2 - 24x + 16

Answer:

9x^2 − 24x + 16

Step-by-step explanation:

To find the area of a square, you use the formula

A = x^2

So we plug in 3x-4 for x

A = (3x-4)^2

A = 9x^2 − 24x + 16

The expression for the area under the graph of f(x) over the interval [2, 4] is given by the limit as n approaches infinity of the Riemann sum: A = lim(n→∞) Σ[f(xi)Δx].

To express the area under the graph of f(x) as a limit, we divide the interval [2, 4] into n subintervals of equal width Δx = (4 - 2)/n = 2/n.

Let xi be the right endpoint of each subinterval, with i ranging from 1 to n. The area of each rectangle is given by f(xi)Δx.

By summing the areas of all the rectangles, we obtain the Riemann sum: A = Σ[f(xi)Δx], where the summation is taken from i = 1 to n.

To find the expression for the area under the graph of f(x) as a limit, we let n approach infinity, making the width of the rectangles infinitely small.

This leads to the definite integral: A = ∫[2, 4] f(x) dx.

In this case, the expression for the area under the graph of f(x) over the interval [2, 4] is given by the limit as n approaches infinity of the Riemann sum: A = lim(n→∞) Σ[f(xi)Δx].

Evaluating this limit would yield the actual value of the area under the curve.

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