WILL GIVE BRAINLIEST

The conjecture that describes the pattern in the sequence is current term is 2 added to the previous term and the next term is 10

The sequence is given as:

0, 2, 4, 6, 8

In the above sequence, we can see that each current term is 2 added to the previous term

i.e.

Tn = 2 + Tn-1

Using the above conjecture, we have

Next term = 8 + 2

Evaluate

Next term = 10

Hence, the conjecture that describes the pattern in the sequence is current term is 2 added to the previous term and the next term is 10

Read more about sequence at:

https://brainly.com/question/7882626

#SPJ1

Answer:

\( \boxed{if \: b= - 2 : {b}^{2} = { (- 2)}^{2} = 4}\)

B 628.32

Step-by-step explanation:

the radius would be 10 and the height is 6

This is the transform of the given function 3.1 - 2/s - 2/s * e^(-2s) + 5e¹/s * e^(-s)

Second Shifting Theorem, Unit Step Function

Let's start solving the given problem;

As per the given question, we are asked to sketch or graph the given function which is assumed to be zero outside the given interval.

We are also asked to represent it using unit step functions. The given function is: 3.1-2(1>2)5.e¹(0<1)

In order to sketch or graph the given function, we need to create a piecewise function by using the given information.

We are assuming that the given function is zero outside the given interval.

So we can represent the function as:  f(t) = {3.1-2(1>2) for t < 0 and t > 2 {5e¹(0<1) for 0 < t < 1

We can now use unit step functions to represent the function as a single function.

The unit step function is defined as: u(t-a) = {0 for t < a  {1 for t > a

Using the unit step function, we can represent the given function as: f(t) = (3.1-2u(t) - 2u(t-2) + 5e¹u(t-1) )

Now, we need to find the transform of the given function.

The transform of the unit step function is given as: L{u(t-a)} = 1/s * e^(-as) Using this formula, we can find the transform of the given function.  

L{f(t)} = L{(3.1-2u(t) - 2u(t-2) + 5e¹u(t-1) )}

= L{(3.1)} - 2L{u(t)} - 2L{u(t-2)} + 5e¹L{u(t-1)}

= 3.1 - 2/s - 2/s * e^(-2s) + 5e¹/s * e^(-s)

This is the transform of the given function. Graphical representation of the given function is attached below.  

To know more about Shifting Theorem visit:

https://brainly.com/question/13259985

#SPJ11

Answer:

480 bees.

Step-by-step explanation:

In the test sample, 10 out of the 50 bees observed (20%) flew west. We can assume that 20% of all bees in the hive fly west.

20% of 2400 is 480.

The mean weight of the 9-person team is 220 lb.

To find the mean weight of the 9-person team, we need to calculate the total weight of all the players and divide it by the total number of players.

Let's denote the mean weight of the outfielders as "M1" and the mean weight of the other players as "M2".

Given:

Mean weight of 3 outfielders = 190 lb

Mean weight of 6 other players = 235 lb

We know that the mean weight is calculated by dividing the total weight by the number of players. Therefore, we can set up the following equations:

M1 = Total weight of outfielders / Number of outfielders

M2 = Total weight of other players / Number of other players

To find the total weight of the outfielders, we multiply the mean weight by the number of outfielders:

Total weight of outfielders = M1 * Number of outfielders

Similarly, to find the total weight of the other players, we multiply the mean weight by the number of other players:

Total weight of other players = M2 * Number of other players

Since we want to find the mean weight of the entire 9-person team, we need to consider all players. Therefore, the total weight of all players is the sum of the total weight of outfielders and the total weight of other players:

Total weight of all players = Total weight of outfielders + Total weight of other players

Now, let's substitute the known values into the equations:

M1 = 190 lb

Number of outfielders = 3

M2 = 235 lb

Number of other players = 6

Total weight of outfielders = M1 * Number of outfielders = 190 lb * 3 = 570 lb

Total weight of other players = M2 * Number of other players = 235 lb * 6 = 1410 lb

Total weight of all players = Total weight of outfielders + Total weight of other players = 570 lb + 1410 lb = 1980 lb

Finally, to find the mean weight of the 9-person team, we divide the total weight of all players by the total number of players:

Mean weight of the 9-person team = Total weight of all players / Total number of players

= 1980 lb / 9

= 220 lb

Therefore, the mean weight of the 9-person team is 220 lb.

for such more question on mean weight

https://brainly.com/question/14532771

#SPJ8

Step-by-step explanation:

scalene    === all of the sides are different lengths

acute     ==== all of the angles are < than 90 degrees

  that's all

Using Mathematica, we can find the roots of the function y = x^3 Exp[-x] Sin[2x] by substituting x = 3t and evaluating the expression for t in the range [0,1]. The roots correspond to the values of t where the function crosses the x-axis.

To find the roots of the given function, we substitute x = 3t into the expression y = x^3 Exp[-x] Sin[2x]. This gives us y = (3t)^3 Exp[-3t] Sin[2(3t)]. Simplifying further, we have y = 27t^3 Exp[-3t] Sin[6t].

Using Mathematica, we can evaluate this expression for t values ranging from 0 to 1. The roots of the function correspond to the values of t where y equals zero, indicating that the function crosses the x-axis. By plotting the function or using numerical methods such as FindRoot or NSolve in Mathematica, we can determine the values of t where y = 0, thus finding the roots of the function.

In summary, by substituting x = 3t and evaluating the expression y = x^3 Exp[-x] Sin[2x] for t in the range [0,1] using Mathematica, we can find the roots of the function, which represent the values of t where the function crosses the x-axis.

Learn more about expression here:

https://brainly.com/question/28170201

#SPJ11

The correct value of the inequality as solves is x > 14 , and the error made by the student was that he directly divided the RHS by 7.

To simplify the equation we will multiply 7 on both the sides.

Then we will get the result as 7x > 98

Thus, we can say that the new inequality will be x > 14 ,

Hence , the mistake made by the student was that he didn't divided both the sides by 7 but only one side.

So a result, he obtained the incorrect result x>2.

Inequality is a concept in mathematics and uses symbols such as > , < , <= , >= etc.

To learn more about inequality

brainly.com/question/28823603

#SPJ4

Answer:

x = -1, y = -5

x = 0, y = -3

x = 1, y = -1

x = 2, y = 1

x = 3, y = 5

x = 4, y = 7

These are six sets of integer values that satisfy the inequality |x-y|>2. In each case, the absolute value of the difference between x and y is greater than 2, which satisfies the inequality. For example, in the first set, x = -1 and y = -5, so the absolute value of the difference is |-1 - (-5)| = |-1 + 5| = 6, which is greater than 2. In the second set, x = 0 and y = -3, so the absolute value of the difference is |0 - (-3)| = |0 + 3| = 3, which is greater than 2. Similarly, the other sets of values also satisfy the inequality.

I think c because from what remember taking this test

The length of an alpha helix with 31 amino acids is approximately 50.6 angstroms.

An alpha helix is a common secondary structure in proteins where the polypeptide chain forms a tightly coiled helical structure. The length of an alpha helix can be calculated using the formula:

Length = (3.6 * number of amino acids)^(1/2)

In this case, the number of amino acids is 31. Plugging this value into the formula, we get:

Length = (3.6 * 31)^(1/2)

      = (111.6)^(1/2)

      ≈ 10.56

However, this value is in units of turns, where one turn is equal to 3.6 amino acids. To convert it to length, we need to multiply by the pitch of the helix. The pitch is the vertical distance between one complete turn of the helix.

The average pitch of an alpha helix is approximately 5.4 angstroms per turn. Multiplying the number of turns by the pitch, we get:

Length = 10.56 * 5.4

      ≈ 57.02

Therefore, the length of an alpha helix with 31 amino acids is approximately 57.02 angstroms.

The length of an alpha helix with 31 amino acids is approximately 57.02 angstroms. This calculation takes into account the formula for calculating the length of an alpha helix and the average pitch of the helix. It is important to note that this is an approximation as the actual length can vary depending on factors such as the specific amino acid sequence and the presence of any structural constraints within the protein.

To know more about length, visit

https://brainly.com/question/30582409

#SPJ11

Answer:

The area is 10 x 4 =40

Step-by-step explanation:

answer is 40

Answer:

100 m

Step-by-step explanation:

If one side is 10 m on a square, all sides are.

But we only need base x height to find area

10 x10= 100

Step-by-step explanation:

"how long" is the question.

so, we will need an answer in seconds.

the other options do not define a time duration.

to fall from top to the ground it means the object fell 1503 ft, that means that s(t) = 1503.

16t² = 1503

t² = 1503/16

t = sqrt(1503/16) = sqrt(9×167/16) = 3/4 × sqrt(167) =

= 9.692135987... seconds

it took the object 9.692135987... seconds to fall from the top to the ground.

Answer:

The answer should be A.

Step-by-step explanation:

I'm strictly only going off the coordinates you gave relying on the information displayed by the question. Also, the coordinates are backwards, anyways if -5.25 portrays Q and R, it should be the correct answer. (This is simply an estimate, not a guaranteed answer because there is no graph presented.)

we have

Multiply in cross

that means

there 4 times 1/8 in 1/2

so

1/8+1/8+1/8+1/8=1/2

The volume of the cube is 8000 cubic inches

From the question, we have the following parameters that can be used in our computation:

The volume of the cube is calculated as

Volume = Side length * Side length * Side length

substitute the known values in the above equation, so, we have the following representation

Volume = 20 * 20 * 20

Evaluate

Volume = 8000

Hence, the volume of the cube is 8000 cubic inches

Read more about volume at

https://brainly.com/question/463363

#SPJ1

Answer:

Area: 56.25pi

Circumference: 15pi

Step-by-step explanation:

Area = pi r^2 = \(\frac{15}{2}^2 \cdot \pi = 7.5^2 \cdot \pi = 56.25 \pi\)

Circumference = D * pi = 15 pi

The additional amount paid (finance charges) by the cardholder making monthly payments of $200 instead of paying off the current balance in full is D. $1,465.96.

The finance charges represent the interest and other fees that a cardholder or borrower pays for use of a credit facility.

The finance charges are based on the outstanding balance at each billing period and the annual percentage rate (APR).

I/Y (Interest per year) = 22.99%

PV (Present Value) = $4,528.34

PMT (Periodic Payment) = $-200

FV (Future Value) = $0

Results:

N = 29.971 months (2 years and 6 months)

Sum of all periodic payments = $-5,994.25

Total Interest (finance charges) = $1,465.91

Learn more about finance charges and annual percentage rates at https://brainly.com/question/10062114

#SPJ1

The polynomial x² - 5x+7 is a factor of x²-3x²-3x+ 9. False

Any equation which can be built from a constraint called variable is a polynomial.

The given polynomial is  x² - 5x+7 is a factor of x²-3x²-3x+ 9.

We can determine the truthfulness or falsity  of the above statement by dividing the polynomials.  Polynomials can be zero or they can be sum of infinite numbers. The given polynomial is a real polynomial because it has real integers.

)x²-3x²+9)/x²-3x+9

Let us factor the polynomials

We have (x-3)(x²-3)

With is we conclude that  x² - 5x+7 is not a factor of x²-3x²-3x+ 9.

Learn more about polynomials on https://brainly.com/question/11536910

#SPJ1

When the p-value for the difference between the observed experimental outcomes and the expected outcome is less than 5 percent (< 0.05), the experimental results a  to be statistically significant and different from the expected outcome.

The P value is defined as the probability of obtaining a result equal to or more extreme than what was observed. The P stands for probability. The p-value represents the probability of the occurrence of a given event. To put it more simply the p-value refers to the percentage of experiments in which the sample differences are larger or smaller than an observed value.

Know more about p-value

//brainly.com/question/28197808

#SPJ4

The inverse of function f is f^-1(x) = ln(x - 1) and a range of (1, ∞).

Given function is y = e^x + 1. To find the inverse of the given function, we will first replace y with x and then solve for x. After finding x, we will replace x with y and get the inverse of the function.x = e^y + 1Now, subtract 1 from both sides.x - 1 = e^yTake natural logarithm of both sides. ln(x - 1) = ln(e^y)ln(x - 1) = yln(e) (as ln(e) = 1).

Therefore, the inverse function is f^-1(x) = ln(x - 1)The range of the given function y = e^x + 1 is all positive real numbers. As e^x is always positive, adding 1 will also give us positive values only. Therefore, the range of the function is (1, infinity) or (1, ∞) in interval notation.

For more such questions on inverse

https://brainly.com/question/3831584

#SPJ8

Answer:

The one to the right

Step-by-step explanation:

Answer:

98.9

Step-by-step explanation:

115 - 20% = 92
92 + 7.5% = 98.9

Answer:

the original price is 115 after we subtract 20% we are left with 92 so now

the price of the coffee table is 92 but with 7.5% as tax, the final price is $98.90 since 7.5% of 92 is 6.90

Answer:

m = (67$ - 58$)/0.20$

_____________________

Answer:0.7

Step-by-step explanation:

11/16

Divide 11÷16=0.6875

Round: 0.7

After divide the solution is,

⇒ 0.7

We have to given that,

A number is,

⇒ 11 / 16

Now, We can divide the number,

⇒ 11 / 16

⇒ 0.6875

After rounding to the nearest tenth we get;

⇒ 0.7

Therefore, After divide the solution is,

⇒ 0.7

Learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ6

Considering the images (a),(b),(c),(d),(e),(f) the oriented path is

(a) Negative

(b) Positive

(c) Positive

(d) Zero

(e) Zero

(f) Zero

calculating each quadrant's line integral and symmetry.

In calculus, a line integral is an integral where the function being evaluated is along a curve. A line integral is also known as a route integral, curve integral, or curvilinear integral.

What does a Line integral mean?

To learn more about Line integral, visit:

https://brainly.com/question/28081626

#SPJ4

Answer:

It’s either A or C. However I’m mostly going with C. For C tells us 2 hours and 23 minutes have passed. I hope this helps.

Step-by-step explanation:

Please correct me if I am wrong.

The slope of line is infinity.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx

where, m is the slope.

Given points:

(-5, 9) and (-5, -5)

Now, slope of line = (-5 - 9)/ (-5 + 5)

slope= -14/ 0

slope= ∞

Hence, the slope of line is infinity.

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ5

Answer:

5.5 oz

Step-by-step explanation:

154÷28