find the 6th term of 6, 8, 32/3

The approximate area under the graph of f(x) = 0.01x⁴ - 1.21x² + 84 over the interval [5,13] using 4 subintervals is XXXX.

To approximate the area under the given graph, we can use the method of numerical integration known as the Trapezoidal Rule. This method involves dividing the interval into subintervals, approximating each subinterval as a trapezoid, and summing up the areas of these trapezoids.

In this case, we are given 4 subintervals within the interval [5,13]. To calculate the width of each subinterval, we can divide the total width of the interval by the number of subintervals: (13 - 5) / 4 = 2.

Next, we evaluate the function f(x) at the endpoints of each subinterval and calculate the area of each trapezoid. Using the Trapezoidal Rule formula, the area of each trapezoid is given by (h/2) * (f(x₁) + f(x₂)), where h is the width of the subinterval, f(x₁) is the function value at the left endpoint, and f(x₂) is the function value at the right endpoint.

By calculating the area of each trapezoid for the 4 subintervals and summing them up, we can approximate the total area under the graph.

Performing the necessary calculations, the approximate area under the graph of f(x) = 0.01x⁴ - 1.21x² + 84 over the interval [5,13] using 4 subintervals is XXXX (replace with the numerical result).

It's important to note that this approximation will become more accurate as we increase the number of subintervals.

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(A) The probability of not winning on the first three tries and winning on the fourth try is 0.000196. (B) The probability of winning within the first four tries is 0.0392 or 3.92%. (C) The expected number of cards you would have to try before winning is 50.

(A) The probability of winning on the fourth try can be calculated using the concept of independent events. Since the probability of winning on any single try is 1/50, the probability of not winning on any single try is 49/50.

The probability of not winning on the first three tries and winning on the fourth try

= (49/50) × (49/50) × (49/50) × (1/50)

= 0.000196

or 0.0196%.

(B) The probability of winning within the first four tries can be calculated by considering the complement event, which is the event of not winning in all four tries.

The probability of not winning on any single try is 49/50, so the probability of not winning in all four tries

= (49/50) * (49/50) * (49/50) * (49/50)

= 0.9608

or 96.08%.

Therefore, the probability of winning within the first four tries

=  1 - 0.9608
= 0.0392

or 3.92%.

(C) The expected number of cards you would have to try before winning can be determined using the concept of expected value. The probability of winning on any single try is 1/50.

Therefore, the expected number of cards you would have to try before winning is the reciprocal of the probability of winning on a single try, which is 50. Therefore, the expected number of cards you would have to try before winning is 50.

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Answer:

the answer is A

Step-by-step explanation:

-1+6=5

0+6=6

1+6=7

Answer:

See Below.

Step-by-step explanation:

Remember that:

Where c is the longest side, and a and b are the two remaining sides.

[tex]4^2\text{ is }\textbf{ less than (or $<$) } 3^2+3^2[/tex]

[tex]\text{Therefore, }\Delta JKL \text{ is }\textbf{an acute triangle.}[/tex]

(16 is less than 9 + 9 or 18.)

[tex]5^2\text{ is } \textbf{equal to (or $=$) } 3^2+4^2[/tex]

[tex]\text{Applying the same method, $\Delta ABC$ is }\textbf{ a right triangle.}[/tex]

(25 is equal to 9 + 16 = 25.)

Answer:

less then

acute

equal to

right

Step-by-step explanation:

The equation of the median PM in triangle PQR with vertices P(2, 3), Q(-3, 7), and R(-1, -3) is y = (1/3)x + 7/3.

To find the midpoint of QR, we calculate the average of the x-coordinates and the average of the y-coordinates. The x-coordinate of point M is (-3 + (-1))/2 = -2/2 = -1, and the y-coordinate of point M is (7 + (-3))/2 = 4/2 = 2.

Therefore, the coordinates of point M are (-1, 2). Now, we have two points, P (2, 3) and M (-1, 2), and we can find the equation of the line passing through these points using the point-slope form.

The slope of the line passing through P and M is (2 - 3)/(-1 - 2) = -1/-3 = 1/3. Using the point-slope form, we have:

y - 3 = (1/3)(x - 2)

Expanding and rearranging the equation, we get:

y = (1/3)x + 7/3

Therefore, the equation of the median PM in triangle PQR is y = (1/3)x + 7/3.

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The equation that can be used to solve the problem is: 4x = 36. The solution is x = 9, indicating that 9 cupcakes were purchased. total cost of $36.00.

the equation that can be used is: 4x = 36. This equation represents the cost of each cupcake ($4.00) multiplied by the number of cupcakes purchased (x), which equals the total cost ($36.00).

In this equation, the variable x represents the number of cupcakes purchased. Multiplying the cost per cupcake ($4.00) by the number of cupcakes (x) should give the total cost of $36.00. By solving the equation, we can find the value of x, which will tell us how many cupcakes were purchased.

To solve the equation, divide both sides by 4: x = 36/4. Simplifying the division, x = 9. Therefore, the solution to the problem is that 9 cupcakes were purchased to reach a total cost of $36.00.

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1. Y-intercept b=5

That means it has a 5.00 starting fee.

2. Using the formula (Y2-Y1)/(X2-X1) we will find the slope between the two points.

Point one (X1 and Y1) will be the Y-intercept.

X1,Y1 = (0, 5.00)

Point 2 (X2 and Y2) will be the point on the trend line.

X2, Y2 = (200, 6.00)

Plug in:

(6.00 - 5.00)/(200 - 0) = 00.5 or 1/200.

3. When printing 200 pages each page will cost $.005.

4. .005x+5

5. .005x+5

.005(300)+5=6.5

good luck♡♡!!

Answer:

a4 = 5/9

Step-by-step explanation:

a1 = 15 , r = 1/3

, a4 =?

Explanation:

To find a4 we use formula

an = a1 · r

n−1

In this example we have a1 = 15 , r = 1/3

, n = 4. After substituting these values to above

formula, we obtain:

an = a1 · r

n−1

a4 = 15 ·

1

3

4−1

a4 = 15 ·

1

27

a4 =

5

9

The algebraic equation is given by:[tex]L[y(t)](s) = (s^2 + 1)Y(s) + 3s - 1 + e^{(-2s)}F(s)[/tex]

To find an algebraic expression for L[y(t)](s), we need to take the Laplace transform of the given differential equation and initial conditions.

Given:

Sy" + y + y = f(t - 2)

y(0) = 3

y'(0) = -1

Taking the Laplace transform of the differential equation term by term, we get:

[tex]L[Sy"](s) + L[y](s) + L[y](s) = L[f(t - 2)](s)[/tex]

Applying the derivative property of the Laplace transform, we have:

[tex]s^2Y(s) - sy(0) - y'(0) + Y(s) + Y(s) = e^{(-2s)}F(s)[/tex]

Substituting the initial conditions y(0) = 3 and y'(0) = -1, we have:

[tex]s^2Y(s) - 3s + Y(s) + Y(s) = e^{(-2s)}F(s) - 1[/tex]

Combining like terms, we get:

[tex](s^2 + 1)Y(s) + 3s - 1 = e^{(-2s)}F(s)[/tex]

Therefore, the algebraic expression for L[y(t)](s) is:

[tex]L[y(t)](s) = (s^2 + 1)Y(s) + 3s - 1 + e^{(-2s)}F(s)[/tex]

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Answer:144n Cubic units

Step-by-step explanation:

The volume of a prism is given by V = Bh, where B is the area of the base and h is the height of the prism. The volume of a cylinder is given by V = πr^2h, where r is the radius of the cylinder and h is its height. Since the prism and the cylinder have the same base area, we know that B = 247 square units for both shapes. We are given that the volume of the prism is 144π cubic units. We can use this information to solve for the height of the prism:

V = Bh

144π = 247h

h = 144π/247

Now we can use the height of the prism to find the radius of the cylinder, since the height of the cylinder is the same:

V = πr^2h

V = πr^2(144π/247)

V = (144π^2/247)r^2

We can now solve for the volume of the cylinder by substituting the given value of the prism's volume and solving for r^2:

144π = (144π^2/247)r^2

r^2 = 247/π

Finally, we can use this value of r^2 to find the volume of the cylinder:

V = πr^2h

V = π(247/π)(144π/247)

V = 144π

Therefore, the volume of the cylinder is 144π cubic units.

Answer:

£75

Step-by-step explanation:

Current value= 80

previous value= 100

current value 1

previous value = 100/80

current value-  £60

previous value 100x60/80

=6000/80

= £75

plz  mark me as brainliest.

Answer:

6 is the answer

Step-by-step explanation:

6

Answer:

C-  6

Step-by-step explanation:

12=

1,2,3,4,6,12

30=

1,2,3,5,6,10,15,30

hope this helps :) also, brainliest?? :)

Answer:

c

Step-by-step explanation:

Answer

i think the answer is c but i dont know good luck

Step-by-step explanation:

The True statements are: b) -6 | 24, c) 11 | -33, and e) 5 | 126. The False statements are: a) 13|78 and d) 23 | 96.

The divisibility relationships in question can be evaluated as follows:

a) 13|78 - This statement is False. The vertical line symbol "|" denotes divisibility, and in this case, it means that 13 divides evenly into 78. However, 13 does not divide evenly into 78 since 78 divided by 13 results in a remainder of 0. Therefore, the statement is false.

b) -6 | 24 - This statement is True. The negative sign in front of the 6 indicates a negative number. The vertical line symbol "|" signifies divisibility, so -6 divides evenly into 24. When 24 is divided by -6, the result is -4, with no remainder. Hence, the statement is true.

c) 11 | -33 - This statement is True. Similar to the previous example, the negative sign in front of the 33 indicates a negative number. The vertical line symbol "|" represents divisibility, so 11 divides evenly into -33. When -33 is divided by 11, the result is -3, with no remainder. Therefore, the statement is true.

d) 23 | 96 - This statement is False. Again, the vertical line symbol "|" indicates divisibility, and in this case, it means that 23 divides evenly into 96. However, 23 does not divide evenly into 96, as 96 divided by 23 leaves a remainder of 4. Therefore, the statement is false.

e) 5 | 126 - This statement is True. The vertical line symbol "|" represents divisibility, so 5 divides evenly into 126. When 126 is divided by 5, the result is 25, with no remainder. Hence, the statement is true.

To summarize, the True statements are: b) -6 | 24, c) 11 | -33, and e) 5 | 126. The False statements are: a) 13|78 and d) 23 | 96.

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Answer:c

Step-by-step explanation:the y has to be greater than -1 and x is just a longer negative y

Answer:

2x² - 5x - 3

= 2x² -6x + 1x -3

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

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

Answer:

$3200

Step-by-step explanation:

i had the answer but wanted to make sure

when added up everything equals 273,900

                                                                -700

                                                                --------

                                                           273,200

his networth is 270,000 that means when you subtract it from the 273,200 you are left with 3,200

Answer:

The median is 6.5 :)

Step-by-step explanation:

Brainliest please?

The median of the data in the bar chart given is 6.5 kilometers.

Median of a data set is the element in the middle if the data are arranged in increasing or decreasing order.

Given is a bar chart which shows the distance that each family member run in a relay race.

The data is given as :

4, 11, 5, 8

In order to find the median, first arrange the data in an increasing order.

4, 5, 8, 11

Since there are even number (4) of data points, median is the average of the middle two elements.

Median = (5 + 8) / 2 = 6.5 km

Hence the median of the given data is 6.5 kilometers.

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(1) The given function f(x) = 12x³ - 13x² + 15x - 6 has a root in [0,1].

(ii) In the Bisection method, performing three steps for the given function f(z) on [0,1] = [d, 6] and the last approximation is p = 0.625. The results of the calculation are presented in the standard output table as bn, Pn, and f(Pn). The table without the stopping criterion is as follows: According to the Bisection method table, the approximation value is p= 0.625.

(iii) The iteration function of Newton's method is 9(z) = x - f(x)/f'(x) = x - (12x³ - 13x² + 15x - 6)/(36x² - 26x + 15). (iv) Using Newton's method to find an approximation py of the root p of f(z) on (0.1] satisfying RE(PNPN-1) < 10-7 by taking Po = 0.625 as the initial approximation is presented in the standard output table. Therefore, the root of the equation is approximately 0.6188.

The Bisection method involves locating a point on a real line where a function takes on different signs. After that, the function is separated into two parts and repeated until a satisfactory level of accuracy is achieved. The Newton-Raphson method is an iterative method for finding the roots of a differentiable function. The procedure is initiated with an estimate of the root and a tangent line is drawn at that point. The point at which the tangent line intersects the x-axis is a better approximation of the root. The procedure is repeated until the desired level of accuracy is achieved.

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Answer: 19.54

explanation:

50.00

-

30.46

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

19.54

Answer: 19.54$

Step-by-step explanation: 50.00

                                            -30.46

                                            = 19.54

Using a balanced bundle of service metrics ensures a comprehensive evaluation of different aspects of service performance, leading to better decision-making and improved overall service quality.

A balanced bundle of service metrics encompasses multiple key performance indicators (KPIs) that collectively evaluate various aspects of service performance. Instead of relying on a single metric, a balanced approach considers factors such as customer satisfaction, response time, service availability, and efficiency.

This comprehensive evaluation provides a holistic view of service quality, allowing organizations to make informed decisions and identify areas for improvement. By considering a range of metrics, organizations can avoid overemphasizing one aspect at the expense of others and strive for an optimized overall service experience. This balanced approach promotes effective resource allocation, process optimization, and enhanced customer satisfaction, ultimately leading to improved service quality.

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Answer:

257.6

step by step explanation:

1472×2.5×7÷100

Answer:

= $88.7429

Step-by-step explanation:

Regular price: $124.99

Total off: $124.99 x 20% + 15% = 43.7465%

Tax: $124.99 x 6% = 7.4994

So he should pay: 124.99 - 43.7465 +7.4994

The total cost of her meal would be amount of $88.74.

The percentage is defined as a ratio expressed as a fraction of 100.

For example, If Misha obtained a score of 57% on her exam, that corresponds to 67 out of 100.

As per the given information, the required solution would be as

Regular price of dinner = $124.99

Total off =  $124.99 × 20% + 15% = 43.7465%

Total tax = $124.99 × 6% = 7.4994

The total cost of her meal = Regular price of dinner - Total off + Total tax

The total cost of her meal = 124.99 - 43.7465 +7.4994

Apply the arithmetic operation to get the cost

The total cost of her meal = 88.74

Therefore, the total cost of her meal would be amount of $88.74.

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Answer:

its cos 50

Step-by-step explanation:

amen

Answer:

[tex](x + 2)(5x + 2)[/tex]

Step-by-step explanation:

What we would normally do when factoring a polynomial is find the greatest factor, but in this case, there is none. What we do then is multiply the coefficient of the first term by the last term.

So in this case, that expression would be...

[tex]5 * 4 = 20[/tex]

Then, we have to find two factors of 20 that, when added together, equal the second term's coefficient (12).

These factors would be 2 and 10.

[tex]2 * 10 = 20\\\\2 + 10 = 12[/tex]

We then replace the second term in the polynomial with [tex]10x + 2x[/tex]. This ends up looking like this:

[tex]5x^2 +10x + 2x +4[/tex]

Keep in mind that this did not change the value of the polynomial, as 10x + 2x still equals 12x.

This new expression lets us use a technique called group factoring. To start group factoring, we need to take out the greatest common factor (GCF) of the first two terms. That ends up looking like this:

[tex]5x(x + 2)[/tex]

Then, we do the same thing with the last two terms.

[tex]2(x + 2)[/tex]

We know we're on the right track at this point, because the expressions inside the parenthesis in both GCFs are the same.

The last step is combining the terms on the outside of the parenthesis, and multiplying it with what's inside the parenthesis. The final answer looks like this.

[tex](x + 2)(5x + 2)[/tex]

Answer:

huhhhhh ?????// thanks for the points but what words did u mean to say /???//

Step-by-step explanation: