If you get this answer right you will get a brianly.

Answer:

i think A is answer you should to do

The value of the Riemann sum for the function f(x) = x^2 - 2, using the partition P = {1, 2, 5, 7} and left endpoints 'c_k', is V = 26.

To find the Riemann sum, we need to calculate the sum of f(c_k) times the width of each subinterval, where 'c_k' represents the left endpoint of each subinterval and the width is given by Δx_k.

For the given partition P = {1, 2, 5, 7}, we have four subintervals with respective left endpoints {1, 2, 5, 7}. The corresponding widths are Δx_1 = 1 - 0 = 1, Δx_2 = 2 - 1 = 1, Δx_3 = 5 - 2 = 3, and Δx_4 = 7 - 5 = 2.

Now, we need to calculate f(c_k) for each left endpoint 'c_k'. Substituting the values of 'c_k' into the function f(x) =\(x^2 - 2\), we get f(1) = 1^2 - 2 = -1, f(2) = 2^2 - 2 = 2, f(5) = 5^2 - 2 = 23, and f(7) = 7^2 - 2 = 47.

Finally, we calculate the Riemann sum by multiplying each f(c_k) with its corresponding width Δx_k and summing them up: V = f(1)Δx_1 + f(2)Δx_2 + f(5)Δx_3 + f(7)Δx_4 = (-1)(1) + (2)(1) + (23)(3) + (47)(2) = 26. Therefore, the value of the Riemann sum is V = 26.

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The probability that x is less than 6 is 5/8.

If x is a discrete uniform random variable ranging from one to eight, then each value from one to eight is equally likely to occur, and the probability of any particular value is 1/8.

To find p(x < 6), we need to add up the probabilities of all the values of x that are less than 6:

p(x < 6) = p(x = 1) + p(x = 2) + p(x = 3) + p(x = 4) + p(x = 5)

Since x is a discrete uniform random variable, the probability of each of these values is 1/8, so we can substitute that into the equation:

p(x < 6) = (1/8) + (1/8) + (1/8) + (1/8) + (1/8)

Simplifying, we get:

p(x < 6) = 5/8

Therefore, the probability that x is less than 6 is 5/8.

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We're trying to find the total number of faces F = S + H + D. To do this, we can substitute the expressions for V and E into Euler's formula: (S + H + D) - (4S + 6H + 10D)/2 = 2. Multiplying both sides by 6 to eliminate the fractions: 6(S + H + D) - 3(4S + 6H + 10D) = 12. Simplifying the equation: 6S + 6H + 6D - 12S - 18H - 30D = 12. Combining like terms: -6S - 12H - 24D = 12. Divide both sides by -6: S + 2H + 4D = -2

Let's first consider the number of edges that each face of p has. Since p is convex, each face must be a convex polygon. We know that each vertex is contained in exactly one face of each type, which means that each vertex must be the meeting point of at least three faces. Therefore, each face must have at least three edges.
Since each face is either a square, hexagon, or decagon, we know that the sum of the angles of each face is:
- For a square: 360 degrees
- For a hexagon: 720 degrees
- For a decagon: 1440 degrees
Using the formula for the sum of angles in a convex polygon (180(n-2)), we can find the number of sides for each face:
- For a square: 4 sides
- For a hexagon: 6 sides
- For a decagon: 10 sides
Let's assume that p has f faces. Then, the total number of edges in p is:
E = (4 * number of squares) + (6 * number of hexagons) + (10 * number of decagons)
E = 4s + 6h + 10d
On the other hand, we know that the sum of the degrees around each vertex in p is 360 degrees. Each vertex is contained in exactly one face of each type, so the number of vertices in p is equal to the sum of the number of faces of each type. Therefore:
V = s + h + d
Using Euler's formula for polyhedra (V - E + F = 2), we can solve for the number of faces:
F = 2 - V + E/2
F = 2 - (s + h + d) + (2s + 3h + 5d)/2
F = (3s + 5h + 9d - 4)/2
We know that f must be an integer, so 3s + 5h + 9d must be even. This means that either all of s, h, and d are even, or exactly one of them is odd and the other two are even.
Since p is a convex polyhedron, it must satisfy the condition that the sum of the angles around each vertex is less than 360 degrees (otherwise it would be non-convex). We can check that the only possible combination of numbers of squares, hexagons, and decagons that satisfies this condition and the evenness condition is:
- 12 squares, 20 hexagons, and 30 decagons
Therefore, p has a total of:
f = 12 + 20 + 30
f = 62 faces.

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Answer:

90

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

Multiples of 9:

9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99,

Multiples of 30:

30, 60, 90, 120

Hope this is helpful.

Answer:

2

Step-by-step explanation:

Let the number be \(x\). Writing an equation in terms of the number, \(x\), gives

\(5x=13x-16\).

Adding \(16\) to both sides gives

\(5x+16=13x\).

Then, subtracting \(5x\) from both sides gives

\(8x=16\),

and dividing by 8 on both sides simplifies to

\(x=2\).

Answer:

The price of rice per gram is 4.50 / 750 = 0.006 dollars per gram.

Step-by-step explanation:

David wants to make 10 servings, where each serving has 75 grams of rice. So, he needs a total of 10 * 75 = 750 grams of rice. the price of rice per gram is 4.50 / 750 = 0.006 dollars per gram.

r represents the sample correlation coefficient.

p represents the population correlation coefficient.

A statistical concept known as the correlation coefficient helps in establishing a relationship between expected and actual values gained through statistical experimentation.

The estimated correlation coefficient's value explains how much the expected and actual values match.

The correct answers are

r represents the sample correlation coefficient

The interpretation of sample correlation coefficient (r) depends on how the sample data are collected.

A statistical concept known as the correlation coefficient helps in establishing a relationship between expected and actual values gained through statistical experimentation.

p represents the population correlation coefficient.

With a large simple random sample, the sample correlation coefficient is an unbiased estimate of the population correlation coefficient (p)

A correlation coefficient of 1 is perfect positive correlation

A correlation coefficient of -1 is perfect negative correlation

A correlation coefficient of 0 indicated the variables do not have any direct relationship.

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Discuss the difference between r and p. Choose the correct answers below.

r represents the _____

1. sample correlation coefficient thing

2. critical value for the correlation coefficient.

3. population correlation coefficient.

p represents the _____

1. critical value for the correlation coefficient.

2. population correlation coefficient.

3. sample correlation coefficient.

The probability that a student enrolled in algebra is also enrolled in health is 0.8.

Let's denote the event of a student being enrolled in algebra as A and the event of a student being enrolled in health as H. We are given that 25% of the students are enrolled in algebra (P(A) = 0.25) and 20% of the students are enrolled in both algebra and health (P(A ∩ H) = 0.20).

We want to find P(H|A), the probability that a student is enrolled in health given that the student is enrolled in algebra.

Using the conditional probability formula:

P(H|A) = P(A ∩ H) / P(A)

We substitute the given values:

P(H|A) = 0.20 / 0.25

Simplifying this expression:

P(H|A) = 0.80

Therefore, the probability that a student enrolled in algebra is also enrolled in health is 0.80, or 80%.

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The starting number of Michael's thought is 96

From the question, the given parameters are:

The above sequence of statements can be represented as

x * (100÷8) + 6.50 = 1206.5

Where x represents the number

So, we have

x * (100÷8) + 6.50 = 1206.5

Evaluate the quotient

x * 12.5 + 6.50 = 1206.5

Subtract 6.50 from both sides

x * 12.5 = 1200

Divide both sides by 12.5

x = 96

Hence, the initial number is 96

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The surface area of the figure would be 5 cm².

The surface area of a three-dimensional object is the total area of all its faces.

Given is a 2 - D figure as shown in the image.

We can write the surface area as -

{S} = A{cube} + 4 x A{triangle}

{S} = (1 x 1) + (4 x 1/2 x 1 x 2)

{S} = 1 + 4

{S} = 5 cm²

Therefore, the surface area of the figure would be 5 cm².

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Answer:

40 sides

Step-by-step explanation:

The number os sides can be calculated using

\(\frac{n(n-3)}{2}\) = d ( n is number of sides and d number of diagonals )

Here d = 740 , then

\(\frac{n(n-3)}{2}\) = 740 ( multiply both sides by 2 )

n(n - 3) = 1480

n² - 3n = 1480 ( subtract 1480 from both sides )

n² - 3n - 1480 = 0 ← in standard form

(n - 40)(n + 37) = 0 ← in factored form

Equate each factor to zero and solve for n

n - 40 = 0 ⇒ n = 40

n + 37 = 0 ⇒ n = - 37

A polygon cannot have a negative number of sides.

Then number of sides is 40

Answer:

it is a decrease of 12%

Step-by-step explanation:

The candy distributor needs to use 70 kilograms of the 30% fat-content chocolate and (100 - 70) = 30 kilograms of the 60% fat-content chocolate to create 100 kilograms of a 39% fat-content chocolate.

Let's assume the candy distributor needs to use x kilograms of the 30% fat-content chocolate and (100 - x) kilograms of the 60% fat-content chocolate.

To calculate the fat content in the final mixture, we can set up the following equation based on the fat content:

0.30x + 0.60(100 - x) = 0.39(100)

Simplifying the equation:

0.30x + 60 - 0.60x = 39

Combining like terms:

-0.30x + 60 = 39

Subtracting 60 from both sides:

-0.30x = -21

Dividing both sides by -0.30:

x = -21 / -0.30

x = 70

Therefore, the candy distributor needs to use 70 kilograms of the 30% fat-content chocolate and (100 - 70) = 30 kilograms of the 60% fat-content chocolate to create 100 kilograms of a 39% fat-content chocolate.

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A number line with a closed dot at -4 is shaded to the right. Option A is correct.

A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.

Here,
Given inequality,
c – 12 ≥ –16

Add 12 on both sides
c ≥ -4

So the required number line would be as a closed dot at -4 and shaded to the right.

Thus, A number line with a closed dot at -4 is shaded to the right. Option A is correct.

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The inequality equations is

a) The point ( -9 , 4 ) lies on the inequality relation

b) The point ( 6 , -2 ) lies on the inequality relation

c) The point ( 0 , -4 ) does not lie on the relation

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

a)

Now , let the first point be represented as P ( -9 , 4 )

The shaded region is below 4 in the y axis and less than -4 in the x axis

So , the point ( -9 , 4 ) does lies on the inequality equation graph

b)

Now , let the first point be represented as Q ( 6 , -2 )

The shaded region is below -8 in the y axis and less than 8 and more than 4  in the x axis

So , the point ( 6 , -2 ) does lies on the inequality equation graph

c)

Now , let the first point be represented as R ( 0 , -4 )

The shaded region is above -8 in the y axis and more than -4 in the x axis and less than -1

So , the point ( 0 , -4 ) does not lie on the inequality equation graph

Hence , the inequality equations is solved

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The calculations, we get Var[Yn] = 0.162962963. Given that the input to a digital filter is a random sequence with E[Xi] = 3 and auto-covariance function X-1' Xo, X1, with k = 0 Cx(m,k) = Cov( Xm, Xmtk) = 0.9 Ikl =1 otherwise smoothing filter produces the output sequence: Xn + Xn-1 + Xn-2 Yn = 3.

(a) E[YN] = 3, as the filter is a smoothing filter, and the output is a linear combination of the input with constant coefficients, and the expected value of the input is 3, the expected value of the output will also be 3.

(b) Var[Yn] = 0.162962963, we can use the formula for the variance of a linear combination of random variables: Var[aX + bY] = a^2Var[X] + b^2Var[Y] + 2abCov[X,Y]. In this case, a = b = 1/3 and X = Xn, Y = Xn-1 + Xn-2. Using the auto-covariance function, we can compute the covariance between Xn and Yn-1, and Xn and Yn-2, and substitute them into the formula to get the variance of Yn.

After doing the calculations, we get Var[Yn] = 0.162962963.

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Answer:

125

Step-by-step explanation:

m/5=25

m=125

The crank angle value when the piston is at Top Dead Center (TDC) is 0 radians or 0 degrees. The maximum ratio of the crank radius to the connected length is 0.3.

The crank angle value refers to the angle between the crankshaft and a reference point when measuring the position of the piston. When the piston is at Top Dead Center (TDC), it is at its highest point in the cylinder. The crankshaft is positioned such that the connecting rod is aligned with the crank radius and the piston is at the topmost position. This corresponds to a crank angle value of 0 radians or 0 degrees.

Regarding the maximum ratio of the crank radius to the connected length, this value is given as 0.3. The crank radius is the distance from the center of the crankshaft to the center of the crank pin, and the connected length is the distance from the center of the crank pin to the center of the piston pin. The maximum ratio of 0.3 indicates that the crank radius is 0.3 times the connected length.

It's important to note that these values are specific to the context of the problem statement provided. Different engines or mechanisms may have different values for the crank angle at TDC and the maximum ratio of crank radius to connected length.

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Answer:

Mean (Average):

7.6

Median (Middle):

9

Mode (Most Common):

9

Range (Biggest - Smallest):

7

Step-by-step explanation:

To figure the mean, add up the numbers,  then divide it by the number of data points.

To find the sum of the first 11 terms of the geometric sequence, we need to determine the common ratio (r) and the first term (a).

The common ratio (r) can be found by dividing any term by its preceding term. In this case, we can take the second term (14) and divide it by the first term (7):

r = 14/7 = 2

Now we can use the formula for the sum of the first n terms of a geometric sequence:

Sn = a * (1 - r^n) / (1 - r)

Substituting the values, we have:

Sn = 7 * (1 - 2^11) / (1 - 2)

Simplifying further:

Sn = 7 * (1 - 2048) / (1 - 2)

Sn = 7 * (-2047) / (-1)

Sn = 7 * 2047

Sn = 14,329

Therefore, the sum of the first 11 terms of the geometric sequence is 14,329.

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Hai!

You would make 110$

Brainliest maybe?

Answer:

x=40.375

Step-by-step explanation:

Since HYV and AYB are similar, we know that the sides in each of the triangles with have the same ratio to each of their corresponding sides.

For example, YV/YB=YH/YA.

Now we have to find the ratio of the sides which can be done using the lengths of segments YB and YV. YB=16 YV=16+22=38 38/16=2.375

2.375 is our ratio.

Next we are going to find the length of YH so we can determine x.

YA=17 YH=17*2.375=40.375

The length of side YH=40.375 which is equal to x.

The vertical component of the velocity of the shot was 10.56 m/s.

The hiker traveled a total of 36 kilometers along the path, while the crow flies distance from the starting point to the hiker is 14 kilometers.

In the given scenario, the path of the hiker may be illustrated using the following diagram:

The total distance that the hiker traveled = distance traveled towards East + distance traveled towards North + distance traveled towards East + distance traveled towards South= 6 km + 8 km + 4 km + 18 km= 36 km

Distance (as the crow flies) is the distance between the starting point and the final destination of the hiker. It may be computed as follows:

As a result, the crow flies distance from the starting point to the hiker is 14 kilometers.

Therefore, the hiker traveled a total of 36 kilometers along the path, while the crow flies distance from the starting point to the hiker is 14 kilometers.

In the second scenario, given the shot putter releases the shot with a velocity of 23 m/s at an angle of 28 degrees counterclockwise with the right horizontal.

How fast was the shot traveling vertically and horizontally?

The given initial velocity, v = 23 m/s

The given angle of the initial velocity, θ = 28°Here, the velocity of the shot can be split into two components:

Horizontal Component of the Velocity of the ShotVertical Component of the Velocity of the Shot

The Horizontal Component of the Velocity of the Shot is given by:

v*cos θ= 23*cos 28°

= 20.99 m/s

Therefore, the horizontal component of the velocity of the shot was 20.99 m/s.

The Vertical Component of the Velocity of the Shot is given by:v*sin θ= 23*sin 28°= 10.56 m/s

Therefore, the vertical component of the velocity of the shot was 10.56 m/s.

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Explanation of solving real life problems involving rational number is describe below.  

Rational numbers are involved wherever in your day to day routine. How much pocket cash you get. That is an objective number. In the event that you go through some sum out of it, it is deduction of same number.

Imagine you are athlete, in your race competition you have to cover a rational number of distance.It is example of rational number used in our life.

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The explicit formula for the sequence 3, 6, 9, 12, 15, ... is:

T(n) = 3n, where n is a positive integer.

Each term in the sequence is obtained by adding 3 to the previous term. So, the nth term can be written as:

T(n) = T(n-1) + 3

Starting with T(1) = 3, we can recursively apply this formula to find each term:

T(2) = T(1) + 3 = 3 + 3 = 6

T(3) = T(2) + 3 = 6 + 3 = 9

T(4) = T(3) + 3 = 9 + 3 = 12

and so on...

We can also see that each term is 3 more than (n-1) times 3:

T(n) = 3(n-1) + 3

Simplifying this formula gives:

T(n) = 3n.

Answer:

y = x-14

x = -14-y

The  derivative of x/2 is 1/2

derivative, in mathematics, the rate of change of a function with respect to a variable. Derivatives are important in calculus and differential equation problems. In general, researchers observe changing systems (dynamic systems) to obtain the rate of change of some variable of interest, plug that information into some differential equation, and use integration techniques to obtain a function that can be used to predict the  original behavior. variable system under different conditions.

Geometrically, the derivative of a function can be interpreted as the slope of the graph of the function, or more precisely as the slope of the tangent  at a point

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