consider the differential equation dp dt = f(p) where f(p) = −0.4p3 − 1.6p + 3.6.

Answer:

Equation form

x=0

y=-3

Point form

(0,-3)

Step-by-step explanation:

Answer:

459

Step-by-step explanation:

15×15×2+10-1

15×15= 225 × 2 +10 - 1

225 × 2= 450 + 10 -1

450 + 10 = 460 - 1

460 - 1 = 459

A little true story:

A five your old boy (little boy blue( was out with is siblings when he fell over a bridge and passed away. Now at the very same river he passed all you have to do is go up there turn off your lights and put baby powder all over you car and sit and wait. Soon enough you will see a little blue light and than little hand prints on your car.

Solution

If Candace walk the sideways

If Candace walks through the park

The distance or meters Candace saw when he walks through the park is

Therefore, the answer is 15

The value of indicated angle 1 is 70⁰.

The value of indicated angle 2 is  20⁰.

The value of indicated angle 3 is 50⁰.

The value of indicated angle 4 is 110⁰.

The value of the missing angles is calculated by applying the principle sum of angles in a triangle.

The value of indicated angle 2 is calculated as follows;

angle 2 = 20⁰ (alternate angles are equal)

The value of indicated angle 1 is calculated as follows;

angle 1 = 90 - ( angle 2) (complementary angles )

angle 1 = 90 - 20⁰

angle 1 = 70⁰

The value of indicated angle 4 is calculated as follows;

angle 2 + angle 4 + 50 = 180 (sum of angles in a straight line )

angle 4 + 20 + 50 = 180

angle 4 = 180 - 70

angle 4 = 110⁰

The value of indicated angle 3 is calculated as follows;

angle 3 + 20 + angle 4 = 180 (sum of angles in a triangle )

angle 3 + 20 + 110 = 180

angle 3 = 180 - 130

angle 3 = 50⁰

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The linear function f is y = f(x) = (-3/2)x+b, with f(-9) = 10 and f(-1)=-2.

The value of the steepness or the direction of a line in a coordinate plane is known as the slope of a line, often known as the gradient. Given the equation of a line or the coordinates of points situated on the straight line, slope can be determined using a variety of techniques.

The formula for slope between two points (x₁, y₁) and (x₂, y₂) is,

m = (y₂ - y₁)/(x₂ - x₁)

The given values are,

f(-9) = 10 and f(-1) = -2.

The given  coordinates are (-9, 10)  and (-1, -2)

Let the linear function is,

y= mx+b    (1)    

To find the linear function,

Find the slope

m = -2 - 10 / -1 - (-9)

m = -12 / 8

m = -3 / 2.

Substitute the value of m in equation (1),

y=(-3/2)x+b

To find the value of b, substitute y = -2,

-2=(-3/2)(-1)+b

b=-7/2

The required linear function is,

y=(-3/2)x -7/2

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Answer:

C. \(\frac{4}{5}\)

Step-by-step explanation:

In order to find the slope knowing two points, use the slope formula \(\frac{y_2 - y_1}{x_2-x_1}\). \(x_1\) and \(y_1\) represent the x and y values of one point the line intersects, and \(x_2\) and \(y_2\) represent the x and y values of another point the line intersects.

Knowing this, use the points (-4, -4) and (6, 4) for the formula. Substitute -4 for \(x_1\), -4 for \(y_1\), 6 for \(x_2\), and 4 for \(y_2\). Then, simplify:

\(\frac{(4) - (-4)}{(6) - (-4)} \\= \frac{4+4}{6+4} \\= \frac{8}{10} \\= \frac{4}{5}\)

Thus, \(\frac{4}{5}\) is the slope of the line.

Answer:

800

Step-by-step explanation:

The probability that the top four finishers in a cross country race of 40 athletes are all from the same team can be calculated using the permutation formula.

The expression 10P4 represents the number of ways to choose four athletes from the team of 10.

To calculate 10P4, we use the permutation formula, which is nPr = n! / (n - r)!. In this case, n represents the number of athletes on the team (10) and r represents the number of athletes we want to choose (4).

Plugging in the values, we have 10P4 = 10! / (10 - 4)! = 10! / 6! = (10 * 9 * 8 * 7) / (4 * 3 * 2 * 1) = 210.

Therefore, the probability that the top four finishers are all from the same team is 210 out of the total number of possible outcomes in the race.

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Step-by-step explanation:

The cube have 6 sides.

The 2 sides are base surface and the other 4 are lateral surface.

A=4L

4A=4❨4L)

4A=16L

4A=16(2 3/4)

4A=16(11/4)

4A=4(11)

4A=44

so the lateral surface is 44

Answer:

There is a non-removable discontinuity at x = 3

Step-by-step explanation:

We are  given that

\(f(x)=\frac{x^2+9}{x-3}\)

We have to find true statement about given function.

\(\lim_{x\rightarrow 3}f(x)=\lim_{x\rightarrow 3}\frac{x^2+9}{x-3}\)

=\(\infty\)

It is not removable discontinuity.

x-3=0

x=3

The function f(x) is not define at x=3. Therefore, the function f(x) is continuous for all real numbers except x=3.

Therefore, x=3 is non- removable discontinuity of function f(x).

Hence, option B is correct.

Answer:

Step-by-step explanation:

-x +8y = 4

8y = x+4

y = x/8 + 1/2

y= mx +b

where b is the y-intercept

y- intercept is 1/2

x/8 +1/2 = 0

x/8 = -1/2

2x = -1*8

x = -8/2 = -4

x- intercept is -4

The constant of proportionality between 3.56 and 13.35 is 3.75 using the formula C = y/x.

If the corresponding elements of two sequences of numbers, frequently experimental data, have a constant ratio, known as the coefficient of proportionality or proportionality constant, then the two sequences of numbers are proportional or directly proportional.

When two variables are directly or indirectly proportional to one another, their relationship can be expressed using the formulas y = kx or y = k/x, where k specifies the degree of correspondence between the two variables.

The proportionality constant, k, is often used.

So, the Constant of Proportionality is as follows:

C = y/x

Now, insert values as follows:
C = y/x

C = 13.35/3.56

C = 3.75

Therefore, the constant of proportionality between 3.56 and 13.35 is 3.75 using the formula C = y/x.

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Correct question:

Proportionality constant between 3.56 and 13.35?

A B C D E F G H I J K L M N O P Q R S T U V W X Y AND Z NOW I KNOW MY ABCS NEXT TIME WONT YOU SING WITH MEEEEEEEEE

We need to find the inverse of the function gof (x). First we need to find the composite function gof (x) which is given by:

\(g(f(x)) = g(3x - 6)\)

= \((1/3)(3x - 6) + 1\)

= x - 1 + 1

= x

Thus,

gof (x) = x.

Now we need to find the inverse of the function gof (x) to obtain

\((gof)^-1 (x).\)

We have gof (x) = x

which implies\((gof)^-1 (x)\)

= gof (x)^-1

= x^-1

= 1/x,

x ≠ 0

Therefore,

\((gof)^-1 (x) = 1/x\)

which is option (3) (x+1) since 1/x can be written as 1/(x+1-1), where (x+1-1) is the denominator of 1/x.

Hence, the correct option is (3).

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To find (g(f))^-1 (x), substitute the expression for f(x) into g(x) and simplify. The composition of g(f) is x and its inverse is also x. Therefore, (g(f))^-1 (x) equals x.

To find (g(f))^-1 (x), we need to first find the composition of g(f) and then find its inverse. Start by substituting the expression for f(x) into g(x): g(f(x)) = g(3x-6) = \frac{1}{3}(3x-6) + 1 = x - 1 + 1 = x. So, g(f(x)) = x. Now, to find the inverse of g(f), we switch the x and y variables and solve for y: y = x. Therefore, (g(f))^-1 (x) = x.

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Answer:

41

Step-by-step explanation:

Since these numbers are all multiples of 5 we can divide the entire list by 5 to simplify it. This gives us the list 1, 2, 3, ... , 39, 40, 41. Therefore there are 41 numbers in the list.

An equation for the relationship between the thickness and number of weeks is y = -0.2x + 3.8.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical expression;

y = mx + c

Where:

Based on the information provided about the graph of this lake, the y-intercept can be modeled and calculated by using this linear equation at data points (7, 2.4):

y = mx + c

2.4 = -0.2(7) + c

2.4 = -1.4 + c

c = 2.4 + 1.4

c = 3.8

Therefore, the required equation is given by;

y = -0.2x + 3.8

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The number of bicycles there is given as follows:

63.

The number of bicycles and tricycles is obtained using a system of equations, for which the variables are given as follows:

The number of bicycles is 1 less than 4 times the number of tricycles, hence:

x = 4y - 1.

There is a total of 174 wheels, hence:

2x + 3y = 174.

The number of tricycles is obtained as follows:

2(4y - 1) + 3y = 174

11y = 176

y = 176/11

y = 16.

Hence the number of bicycles is of:

x = 4(16) - 1

x = 63.

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The midpoint formula and the normal vector of the plane can be used to determine the equation of the plane that contains all points equidistant from the points (1,0,-2) and (3,4,0).

Given by: The midpoint of the two points is:

M = [(1 + 3)/2, (0 + 4)/2, (-2 + 0)/2] = (2, 2, -1) (2, 2, -1)

The following vector runs between the two points:

V = (3 - 1, 4 - 0, 0 - (-2)) = (2, 4, 2) (2, 4, 2)

The cross product of two non-parallel plane vectors yields the normal vector to the plane. The midpoint M to a point on the plane is one such vector, while the other is the vector V. Consider the point P = (2, 2, -1) + t(2, 4, 2) as an illustration, where t is a scalar.

The normal vector is then provided by:

N = V x (P - M) = (2, 4, 2) x (2t, 4t, 2t -1), which equals (12t, -8t, 4t + 2)

The point-normal form, which makes use of the normal vector N and the point M, can be used to determine the equation for the plane:

(x - 2) * 12t = (y - 2) * -8t = (z + 1) * 4t + 2

The final equation of the plane is obtained by multiplying both sides of the equation by t and setting t 0.

12(x - 2) = -8(y - 2) = 4(z + 1) + 2

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The order of the U5 and U6 is not equal hence isomorphic.

U5 fifth root of unit

U6  sixth root of unit

U5 = { z E c : Z^5 =1 }

= {e ^2ikx : k=0,1,2,,,,n}

U6 = { z E c : Z^6 =1 }

= {e ^2ikx : k=0,1,2,,,,n-1}

U5 = Z5

U6 = Z6

In mathematics, an isomorphism is a structure-preserving mapping between two similar structures that can be reversed by inverse mapping. Two mathematical structures are isomorphic if there is an isomorphism between them.

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The required answer is the annual cost saved by shifting from the 500-bag lot size to the EOQ is $1,059.92.

Explanation:-

a. Economic order quantity (EOQ) is defined as the optimal quantity of inventory to be ordered each time to reduce the total annual inventory costs.

It is calculated as follows: EOQ = sqrt(2DS/H)

Where, D = Annual demand = 100 x 52 = 5200S = Order cost = $57 per order H = Annual holding cost = 0.30 x 10.75 = $3.23 per bag per year .Therefore, EOQ = sqrt(2 x 5200 x 57 / 3.23) = 234 bags. The average time between orders (TBO) can be calculated using the formula: TBO = EOQ / D = 234 / 100 = 2.34 weeks ≈ 2 weeks (rounded to nearest whole number).

Hence, the EOQ is 234 bags and the average time between orders is 2 weeks (approx).b. R is the reorder point, which is the inventory level at which an order should be placed to avoid a stockout.

It can be calculated using the formula:R = dL + zσL

Where,d = Demand per day = 100 / 5 = 20L = Lead time = 1 week (5 working days) = 5 day

z = z-value for 92% cycle-service level = 1.75 (from standard normal table)σL = Standard deviation of lead time demand = σ / sqrt(L) = 16 / sqrt(5) = 7.14 (approx)

Therefore,R = 20 x 5 + 1.75 x 7.14 = 119.2 ≈ 120 bags

Hence, the reorder point R should be 120 bags.c. An inventory withdraw of 10 bags was just made. Is it time to reorder?The current inventory level is 310 bags, which is greater than the reorder point of 120 bags. Since there are no open orders or backorders, it is not time to reorder.d. The store currently uses a lot size of 500 bags (i.e., Q = 500).What is the annual holding cost of this policy.

Annual ordering cost. Without calculating the EOQ, how can you conclude the lot size is too large?Annual ordering cost = (D / Q) x S = (5200 / 500) x 57 = $592.80 per year.

Annual holding cost = Q / 2 x H = 500 / 2 x 0.30 x 10.75 = $806.25 per year. Total annual inventory cost = Annual ordering cost + Annual holding cost= $592.80 + $806.25 = $1,399.05Without calculating the EOQ, we can conclude that the lot size is too large if the annual holding cost exceeds the annual ordering cost.

In this case, the annual holding cost of $806.25 is greater than the annual ordering cost of $592.80, indicating that the lot size of 500 bags is too large.e.

The annual cost saved by shifting from the 500-bag lot size to the EOQ can be calculated as follows:Total cost at Q = 500 bags = $1,399.05Total cost at Q = EOQ = Annual ordering cost + Annual holding cost= (D / EOQ) x S + EOQ / 2 x H= (5200 / 234) x 57 + 234 / 2 x 0.30 x 10.75= $245.45 + $93.68= $339.13

Annual cost saved = Total cost at Q = 500 bags - Total cost at Q = EOQ= $1,399.05 - $339.13= $1,059.92

Hence, the annual cost saved by shifting from the 500-bag lot size to the EOQ is $1,059.92.

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Answer:

0.86 ppg

Step-by-step explanation:

25% of 1.15 = 0.25 × 1.15 = 0.2875

1.15 - 0.2875 = 0.8625

The given expression "ut - A" in R² can exhibit different types of behavior depending on the nature of the operator A.

In the given expression, "ut - A," if the operator A is elliptic, it means that the expression exhibits elliptic behavior. Elliptic operators typically lead to solutions that are smooth and well-behaved. If the operator A is parabolic, it indicates parabolic behavior. Parabolic operators often arise in problems involving heat conduction or diffusion, and they can result in solutions that exhibit smoothing effects over time.

On the other hand, if the operator A is hyperbolic, the expression shows hyperbolic behavior. Hyperbolic operators are commonly associated with wave-like phenomena and can give rise to solutions with wave propagation characteristics.

To determine the specific behavior of the expression "ut - A," it is necessary to analyze the properties of operator A and examine its eigenvalues or characteristic equation. Based on this analysis, it can be determined whether the expression is elliptic, parabolic, or hyperbolic.

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Answer:

25π

Step-by-step explanation:

1) for whole circuit: A=π*r², where r - radius of the given circle;

2) for a quater of the circuit: A=πr²/4;

3) finally, A=π*100/4=25π.

The matrix -4 -3 -2 is not symmetric because it is not equal to its transpose, which is  -4 0 and  -3 -2.

The transpose of the matrix is simply found by writing the rows as columns and columns as rows.

For instance, the transpose of -4 -3 -2 is-4 0and -3 -2.

How to determine whether a matrix is symmetric?

In order to determine whether a matrix is symmetric or not, the matrix needs to be square, i.e., the number of columns must be equal to the number of rows.

A matrix is considered symmetric if the number of columns is equal to the number of rows and if the i,jth entry is equal to the j,ith entry.

An equivalent condition is that the matrix is symmetric if it is equal to its transpose.

So, the matrix is not symmetric because it is not equal to its transpose, which is -4 0 and -3 -2, which means that the correct option is OA.

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Answer:

Domain would be -2, range would be 1.

Answer:

$4.75

Step-by-step explanation:

The constant in this proportionality is the number that will not change. The number that won't change is the price of the bracelet.

Simply find the price by dividing the price of 2 bracelets ($9.50) with the amount of bracelets to get the price of ONE bracelet (2):

9.50/2 = 4.75

~

Answer:

$4.75

Step-by-step explanation:

$4.75

Answer:

2=8,  3= 12,  4= 16, and just keep on going like that just add 4 to every number.

Step-by-step explanation:

Answer:

1 = 4

2 = 8

3 = 12

4 = 16

5 =20

6 = 24

7 = 28

8 = 32

9 = 36

10 = 40

11 = 44

12 = 48

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Answer:

the answer is 83 degrees

Step-by-step explanation:

most angles that connect diagonally are vertically opposite angles. hope it helps have a great day and can i get brainliest