Let N = (Nt) to be a Poisson process with intensity A, and let Tn denote the time of the nth arrival. Compute E(N11 | N3 = 7), E(T19 | N3 = 7), and, P(N₁ = 5 | N3 = 7).

The second derivative of v with respect to t, denoted as d²v/dt², is equal to 4

The second derivative of v with respect to t, we will differentiate v twice.

v = 2t² + 7t + 11

First, let's find the first derivative of v with respect to t (dv/dt):

dv/dt = d/dt (2t² + 7t + 11)

Using the power rule of differentiation, we differentiate each term separately:

dv/dt = 2(2t) + 7(1) + 0

dv/dt = 4t + 7

Now, let's find the second derivative of v with respect to t (d²v/dt²):

d²v/dt² = d/dt (4t + 7)

Again, using the power rule of differentiation, we differentiate each term separately:

d²v/dt² = 4(1) + 0

d²v/dt² = 4

Therefore, the second derivative of v with respect to t, denoted as d²v/dt², is equal to 4.

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Perimeter is the total length of all sides of a shape, also known as the circumference.

Perimeter is a measure of the distance around a two-dimensional shape. It is the sum of the lengths of all the sides of a shape. Perimeter is also known as the circumference. When calculating perimeter, you measure the length of each side of the shape and add them together. For example, the perimeter of a square with sides of 4 inches each would be 16 inches. Perimeter is an important concept in geometry, and it can be used to calculate area, the space within a shape or figure. It can also be used to calculate the distance between two points. Knowing the perimeter of a shape can help you solve many problems in math, design, and science.

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Step-by-step explanation:

1)  Total rectangle area =  W x H = 12 x 8 = 96 cm^2

 area of triangle (shaded portion) = 1/2 base * height = 1/2 * 7 x 8 = 28 cm^2

              Nonshaded portion = 96 - 28 cm^2 = 68 cm^2

          ratio shaded:nonshaded is then   28 : 68 = 7:17

2)   Look at the two middle triangles :  Height of each = 8 cm

       then reading across the diagram  height + base + height = 21 cm

            so base = 5 cm

   area of ONE triangle = 1/2 * base * height = 1/2 * 5 * 8 = 20 cm^2

        total area for FOUR of them  = 80 cm^2

The factored form of the expression would be; (7x + 2√5) (7x - 2√5)

Those expressions that might look different but their simplified forms are the same expressions are called equivalent expressions.

To derive equivalent expressions of some expressions, we can either make it look more complex or simple. Usually, we simplify it.

We need to factor the expression form 49x² + 20

Therefore, 49 is a perfect square,

This expression could also be given as;

(7x)²- (2√5)²

Now, we know that:

a²- b² = (a + b) (a - b)

Now plug the values then we have:

(7x)²- (2√5)² = (7x + 2√5) (7x - 2√5)

Hence, the factored form of the expression would be; (7x + 2√5) (7x - 2√5)

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The factored form of the expression 49x² + 20 will be (7x - 2i√5) and (7x + 2i√5). Then the correct option is B.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The expression is given below.

⇒ 49x² + 20

The expression can be written as,

⇒ 49x² - 20i²

Simplify the expression, then we have

⇒ 49x² - 20i²

⇒ (7x)² - (2i√5)²

⇒ (7x - 2i√5)(7x + 2i√5)

The factored form of the expression 49x² + 20 will be (7x - 2i√5) and (7x + 2i√5). Then the correct option is B.

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Answer:

factors of 36 are 1,2,3,4,6,9,12,18,and 36

Answer:

144 days

Step-by-step explanation:

160 · 0.9

Answer:

Step-by-step explanation:

You need to multiply the length x wide, then multiply x height, then you divide it by 2.

In this case it would be:

5 x 8.75 x 3 which is 131.25

131.25 divided by 2 is 65.625

Answer = 65.625

Setting x1 to zero in the equation 2x1 + 1x2 = 30 results in the value of x2 being 30.

The given equation is 2x1 + 1x2 = 30, where x1 and x2 represent variables. To find the value of x2 when x1 is set to zero, we substitute x1 with zero in the equation.

By replacing x1 with zero, we have 2(0) + 1x2 = 30. Simplifying further, we get 0 + 1x2 = 30, which simplifies to x2 = 30.

When x1 is set to zero, the equation reduces to a simple linear equation of the form 1x2 = 30. Therefore, the value of x2 in this scenario is 30.

Setting x1 to zero effectively eliminates the contribution of x1 in the equation, allowing us to focus solely on the value of x2. In this case, when x1 is removed from the equation, x2 becomes the sole variable responsible for fulfilling the equation's requirement of equaling 30. Thus, x2 is determined to be 30.

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Answer:

(6,45)

Step-by-step explanation:

To graph each ratio relationship in the coordinate plane, we can plot the ordered pairs (time, distance) for each leg of the trip. For the first leg from Chicago to Los Angeles, the plane travels 15 miles every 2 minutes. So we can plot the following points:

(0, 0) - starting point

(2, 15) - after 2 minutes, the plane has traveled 15 miles

(4, 30) - after 4 minutes, the plane has traveled 30 miles

(6, 45) - after 6 minutes, the plane has traveled 45 miles

(8, 60) - after 8 minutes, the plane has traveled 60 miles

We can plot these points on a coordinate plane, with time on the x-axis and distance on the y-axis. The resulting graph would show a straight line with a slope of 7.5 (rise of 15/2 and run of 1).

For the second leg from Los Angeles to Chicago, the plane travels 25 miles every 3 minutes. So we can plot the following points:

(0, 0) - starting point

(3, 25) - after 3 minutes, the plane has traveled 25 miles

(6, 50) - after 6 minutes, the plane has traveled 50 miles

(9, 75) - after 9 minutes, the plane has traveled 75 miles

(12, 100) - after 12 minutes, the plane has traveled 100 miles

We can plot these points on the same coordinate plane as the first leg. The resulting graph would also show a straight line with a slope of 8.33 (rise of 25/3 and run of 1).

The two graphs would intersect at the point (6, 45), which represents the halfway point of the round trip.

Answer:

5/12, 6/12 OR 1/2, 4/12 OR 1/3, 9/12 OR 3/4

Step-by-step explanation:

Answer:

Mean=15.86

Median=18

Mode=18

Step-by-step explanation:

Gradient = Coefficient of x = -1.

To construct orthogonal polynomials of degrees 0, 1, and 2 on the interval (0, 1) with respect to the weight function (a) w(x) = log 1/x, we use the Gram-Schmidt process.

First, we start with the constant function 1 as our zeroth degree polynomial. Then, we construct our first degree polynomial by subtracting the projection of 1 onto x*w(x) from x*w(x), where the inner product is defined as:

⟨f, g⟩ = ∫_0^1 f(x)g(x)w(x) dx

Using this inner product, we get:
p_1(x) = x - ⟨x, 1⟩/⟨1, 1⟩ = x - (1/2)

Now, for the second degree polynomial, we subtract the projection of p_1 onto x^2*w(x) and 1*w(x) from x^2*w(x), where the inner product is defined as before.

p_2(x) = x^2 - ⟨x^2, 1⟩/⟨1, 1⟩ - ⟨x^2, x-1/2⟩/⟨x-1/2, x-1/2⟩ * (x-1/2)

p_2(x) simplifies to:
p_2(x) = x^2 - (1/3) - (2/3)(x-1/2)^2

Thus, we have constructed orthogonal polynomials of degrees 0, 1, and 2 on the interval (0, 1) with respect to the weight function w(x) = log 1/x.

For the weight function w(x) = 1/√x, we use the same process.

Our zeroth degree polynomial is 1, and our first degree polynomial is:

p_1(x) = x - ⟨x, 1⟩/⟨1, 1⟩ = x - (2/3)

Our second degree polynomial is:

p_2(x) = x^2 - ⟨x^2, 1⟩/⟨1, 1⟩ - ⟨x^2, x-2/3⟩/⟨x-2/3, x-2/3⟩ * (x-2/3)

p_2(x) simplifies to:

p_2(x) = x^2 - (2/5) - (6/5)(x-2/3)^2

Thus, we have constructed orthogonal polynomials of degrees 0, 1, and 2 on the interval (0, 1) with respect to the weight function w(x) = 1/√x.

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Answer:

Hey kid stop cheating XDDDDDDDDDDDDDDDDDDD

Step-by-step explanation:

In solving for x, the first step would be to isolate the variable x in one side of the equation.

The first step to solve for x in the equation -3 = x + 5 is to isolate the variable (x) on one side of the equation.

Looking at the equation, this can be done by subtracting 5 from both sides of the equation. This would look like :

-3 - 5 = x + 5 - 5

x = - 3 - 5

We can then solve for x by completing the equation:

x = - 3 - 5

x = - 8

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The full question is:

A model is represented as - 3 = x + 5. What is the first step to solve for x?

Answer:

The answer is:

\(f(x)=2x^{2}-8x+6\)

Step-by-step explanation:

The equation of a parabola in the intercept form is given by:

\(y=a(x-p)(x-q)\)

Where:

p and q are x-intercepts

Now, we know the parabola intercepts at x=1 and x=3.

So we will have:

\(y=a(x-1)(x-3)\)

Using the point (-1,16) we could find the value of a.

\(16=a(-1-1)(-1-3)\)

\(16=a(-2)(-4)\)

\(16=8a\)

\(a=2\)

Therefore, the equation is:

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

\(y=2(x^{2}-4x+3)\)

\(y=2x^{2}-8x+6\)

The answer is:

\(f(x)=2x^{2}-8x+6\)

I hope it helps you!

Answer:

dou still need the answer?

Step-by-step explanation:

Answer:

≈ 9.4

Step-by-step explanation:

The area of the given figure is 12 square meters

The given figure is a parallelogram

Parallelogram is a geometric figure that has both pair of opposites parallel sides and opposite sides are equal . Number of vertices and edges are four

The height of the parallelogram = 2 meters

The base length of the parallelogram = 6 meters

The area of the parallelogram = The height of the parallelogram × The base length of the parallelogram

Substitute the values in the equation

The area of the parallelogram = 2 × 6

Multiply the numbers

= 12 square meters

Therefore, the area is 12 square meters

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I have solved the question in general , as the given question is incomplete

The complete question is :

What is the area of the figure ?

In a bag containing 5 red, 3 blue, and 12 yellow marbles, we will predict the number of times Hazel will select a blue marble out of 500 trials.

Step 1: Calculate the total number of marbles in the bag:
Total marbles = 5 red + 3 blue + 12 yellow = 20 marbles

Step 2: Determine the probability of selecting a blue marble:
Probability of selecting a blue marble = (number of blue marbles) / (total marbles) = 3 blue / 20 marbles = 3/20

Step 3: Predict the number of times Hazel will select a blue marble in 500 trials:
Predicted blue marbles selected = (probability of selecting a blue marble) x (total trials) = (3/20) x 500

Step 4: Perform the calculation:
(3/20) x 500 = 75

In conclusion, we predict that Hazel will select a blue marble 75 times out of 500 trials, given that the bag contains 5 red, 3 blue, and 12 yellow marbles.

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Answer:

y=-3/2x+3

Step-by-step explanation:

(0,3) and (2,0) tell us that the y intercept is 3 because at x = 0, y = 3.

This leaves the first and last choice only.

We can calculate the slope by 0-3 and 2-0, so -3/2 is the slope

Answer:

112 degrees

Step-by-step explanation:

A triangle is comprised of 180 degrees.

34 + 34 = 68

180 - 68 = 112 degrees

The ability for Nike to manufacture its own shoes and then build stores for distribution is an example of Forward Integration.

What is forward integration ?

In order to lower manufacturing costs and increase efficiency, a sort of vertical integration known as "forward integration" moves up the supply chain.

An operational competency is what?

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After addition of the given unlike fractions 9/5 and 14/7 will be 133/35 after converting them to like fractions and then adding them.

As per the question statement, Rita and Sigmund are assigned to solve a problem involving the addition of two unlike fractions 9/5 and 14/7.

Our first step will be to convert the given pair of fractions to like fraction.

9/5 + 14/7 = 9*7/35 + 14*5/35

In the above step, we made the pair of fractions into like fraction by using the LCM of 5 and 7.

9/5 + 14/7 = 9*7/35 + 14*5/35

                = (63+70)/35

                = 133/35

Hence, after addition of the given unlike fractions 9/5 and 14/7 will be 133/35 after converting them to like fractions and then adding them.

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The exact value  of \(sin 2x\) is \(4√5/9.\)

Given that \(sec x = 3/2 and csc y = 3\)where x and y are in the 2x = 2 sin x quadrant, we need to find the exact value of sin 2x.

In the first quadrant, we have the following values of the trigonometric ratios:\(cos x = 2/3 and sin y = 3/5\)

Also, we know that sin \(2x = 2 sin x cos x.\)

Now, we need to find sin x.

Having sec x = 3/2, we can use the Pythagorean identity

\(^2x + 1 = sec^2xtan^2x + 1 = (3/2)^2tan^2x + 1 = 9/4tan^2x = 9/4 - 1 = 5/4tan x = ± √(5/4) = ± √5/2\)

As x is in the first quadrant, it lies between 0° and 90°.

Therefore, x cannot be negative.

Hence ,\(tan x = √5/2sin x = tan x cos x = √5/2 * 2/3 = √5/3\)

Now, we can find sin 2x by using the value of sin x and cos x derived above sin \(2x = 2 sin x cos xsin 2x = 2 (√5/3) (2/3)sin 2x = 4√5/9\)

Therefore, the exact value  of sin 2x is 4√5/9.

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Answer:

An equation is a mathematical statement that shows the equal value of two expressions while an inequality is a mathematical statement that shows that an expression is lesser than or more than the other. 2. An equation shows the equality of two variables while an inequality shows the inequality of two variables.

Answer: It’s increasing by 18

Step-by-step explanation: How you know is because 10 plus 18 is 28 and 28 plus 18 is 46 & so forth

Answer:

+18

Step-by-step explanation:

it goes up by 18 every time

Answer:

PT = 17

Step-by-step explanation:

Since T is the midpoint of PQ, then

PT = TQ , substitute values

4x + 5 = 8x - 7 ( subtract 4x from both sides )

5 = 4x - 7 ( add 7 to both sides )

12 = 4x ( divide both sides by 4 )

3 = x

Thus

PT = 4x + 5 = 4(3) + 5 = 12 + 5 = 17

Answer:

17

Step-by-step explanation:

since T is mid point of PQ

PT=TQ

\(4x + 5 = 8x - 7 \\ 5 + 7 = 8x - 4x \\ 12 = 4x \\ x = 12 \div 4 \\ x = 3 \\ \)

so

\(pt = 4x + 5 \\ = 4(3) + 5 \\ = 12 + 5 \\ pt = 17\)

Answer:

Step-by-step explanation:

3(15.50 + x) = 60

46.5 + 3x = 60

3x = 60-46.5

x = 13.5/3

x = 4.5 or $4.50

Answer

\(y=-3x+10\)

This is the slope-intercept form.

Step-by-step explanation: