Is 434 going to be in the sequence below?
6,13, 20, 27, 34,

Based on the given informations, the change in y as t changes from 1 to 6 is approximately 3.870. Therefore the correct option is (A).

To find the change in y as t changes from 1 to 6, we need to integrate the given function with respect to t over the interval [1, 6] and then find the difference between the values of the integral at the two endpoints.

∫₁⁶ 6e\(.^{(-0.08(t-5)^2)}\)  dt

We can use the substitution u = t - 5 to simplify the integral:

∫₋₄¹ 6e\(.^{(-0.08u^2)}\)  du

Unfortunately, there is no closed-form solution for this integral. We can use numerical integration methods, such as Simpson's rule or the trapezoidal rule, to approximate the integral. Using Simpson's rule with a step size of 1, we get:

∫₋₄¹ 6e\(.^{(-0.08u^2)}\) du ≈ 3.870

Therefore, the change in y as t changes from 1 to 6 is approximately 3.870, which corresponds to option (A).

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Answer:

13, 19, 73, 89

Step-by-step explanation:

Prime numbers only have two factors, 1 and itself.

Answer:

13, 19, 73, 89

Step-by-step explanation:

Therefore, In the figure, a∥b  angle m∠7 = 34° .

An angle is a figure in Euclidean geometry made up of two rays that share a vertex, or common terminus, and are referred to as the sides of the angle. Angles of two rays lie in the plane containing the rays. Angles can also result from the intersection of two planes. Dihedral angles are the name given to them.

Here,

Given that a and b are parallel lines,

∠3 and ∠7  are corresponding angles and congruent

m∠3 = 34°

thus ,m∠7 =m∠3 = 34°

so, m∠7 = 34°

Therefore, In the figure, a∥b  m∠7 = 34° .

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Answer:

(a) 40 units

Step-by-step explanation:

32/16=2

20 times 2=40

Answer:

A

Step-by-step explanation:

Since square pyramids A and B are similar, they need to have similar lengths.

Pyramid B's lengths are 2 times larger than that of pyramid A.

Pyramid A: 16 units, 16 units, 20 units.

                     *2            *2           *2

Pyramid B: 32 units, 32 units, ? units

So, the missing side length has to be 20 *2 = 40 units.

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Cyphon, this is the solution:

We have to multiply the following fractions:

7/12 * 4/3

7 * 4 / 12 * 3

28/36

Simplifying, we have:

7/9 (Dividing by 4 numerator and denominator)

We have to add the following fractions:

- 1/2 + 4/9

Let's find the lowest common denominator between 2 and 9, as follows:

2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22

9, 18, 27, 36

The lowest common denominator is 18

Julie, in her role at work, focuses on measuring performance and taking corrective actions, which indicates her involvement in the controlling function of the management process.

The controlling function of the management process involves monitoring and evaluating performance to ensure that organizational goals are achieved effectively and efficiently. It includes activities such as measuring performance, comparing it to predetermined standards or targets, identifying deviations or variances, and taking corrective actions as necessary. Julie's emphasis on measuring performance and implementing necessary corrective actions indicates her engagement in the controlling function. By monitoring performance and taking corrective actions, Julie plays a vital role in ensuring that the organization stays on track, addresses any performance gaps, and maintains alignment with established objectives and standards.

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Answer:

-5/3

Step-by-step explanation:

The slope of a line passing through two points (x1,y1) and (x2,y2) can be calculated using the formula:

slope = (y2 - y1) / (x2 - x1)

Using the given points (8,1) and (2,-9), we can substitute the values into the formula:

slope = (-9 - 1) / (2 - 8)

slope = -10 / -6

We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 2:

slope = (-10 / 2) / (-6 / 2)

slope = -5 / 3

Therefore, the slope of the line passing through the points (8,1) and (2,-9) is -5/3.

Answer:

y = - 2x -10

Step-by-step explanation:

y = -2x + 1    Slope , m = -2    parallel slope is the same

point slope form of new line

 (y - -4)= -2 ( x - -3)

y = -2x -10

Answer:

Orthogonal.

Step-by-step explanation:

Given:

u = <10, 0>

v = <0, -9>

In unit vector notation, the above vectors can be re-written as:

u = 10i + 0j

v = 0i - 9j

Now, note the following:

(i) two vectors, u and v, are parallel to each other if one is a scalar multiple of the other. i.e

u = kv

or

v = ku

for some nonzero value of a scalar k.

(ii) two vectors are orthogonal if their dot product gives zero. i.e

u . v = 0

Let's use the explanations above to determine whether the given vectors are parallel or orthogonal.

(a) If parallel

u = k v

10i + 0j = k (0i - 9j)   ?

When k = 1, the above equation becomes

10i + 0j  ≠  0i - 9j

When k = 2,

10i + 0j ≠ 2(0i - 9j)

10i + 0j ≠ 0i - 18j

Since we cannot find any value of k for which u = kv or v = ku, then the two vectors are not parallel to each other.

(b) If Orthogonal

u.v = (10i + 0j) . (0i - 9j)  

[multiply the i components together, and add the result to the multiplication of the j components]

u.v = (10i * 0i) + (0j * 9j)

u.v = (0) + (0)

u.v = 0

Since the dot product of the two vectors gave zero, then the two vectors are orthogonal.

Answer:

Step-by-step explanation:

the diagonal of a square splits the square into 2 right triangles. So we can use Pythagorean's theorem.

where c is the hypotenuse. So the diagonal is the hypotenuse here, and thus c = 10. Now, since we are dealing with a square, all the sides are the same length, so a = b. So we have:

a² + a² = c²

2a² = 100

a² = 50

a = √50

a = 5 × √2 or 7,071067811865475

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

Answer: 50

Step-by-step explanation  :<

The probability is approximately 0.0121, or 1.21%.

We can approach this problem using combinatorics.

First, we need to count the number of ways to choose two cards from a standard 52-card deck. This is given by the formula:

C(52, 2) = (52 choose 2) = 1,326

Next, we need to count the number of ways to choose two number cards totaling to 12. There are four ways to get a total of 12:

6 and 6

5 and 7

7 and 5

4 and 8

For each of these combinations, there are four suits to choose from, so there are a total of 4 x 4 = 16 ways to choose two number cards totaling to 12.

Therefore, the probability of choosing two number cards totaling to 12 is:

16/1326

Simplifying the fraction:

4/331

So the probability is approximately 0.0121, or 1.21%.

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Answer:

Step-by-step explanation:

-5 = -3(h - 10) + (-8)

−5 = −3h + 22

−3h + 22 = −5

−3h = −27

h = 9

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

check

-5 = -3(9-10)+(-8)

-5 = -27 + 30 - 8

- 5 = -5

the answer is good

A one-way ANOVA is a statistical test used to compare the means of four populations in this case. Thus, the degrees of freedom for the F-statistic in this one-way ANOVA are (df1, df2) \(= (3, 78)\).

The degrees of freedom are essential for calculating the F-statistic, which helps determine whether there are significant differences among the population means.

To calculate the degrees of freedom for the F-statistic, we need to determine the numerator degrees of freedom (df1) and the denominator degrees of freedom (df2). For df1 (numerator degrees of freedom), it is equal to the number of populations (groups) minus 1.

In this case, there are four populations,

So: df1 \(= 4 - 1 = 3\)

For df2 (denominator degrees of freedom), it is equal to the total sample size (N) minus the number of populations (groups).

The total sample size is given as \(18 + 22 + 20 + 22 = 82\).

So: df2 \(= 82 - 4 = 78\)

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Answer:

n=3

Step-by-step explanation:

64^(1/3)

Note that the exponent 1/3 given stands for the third root of the integer.

64^(1/3) =4

Check: 4 x 4 x 4 = 64

(By comparison of 64^(1/3) to 64^(1/n) means n= 3)

∜(64^(1/3)) =∜(4) = 1.41421356

The real number is

All the roots are:

1.41421356

1.41421356i

−1.41421356

−1.41421356i

4 is not a perfect 4th power.

Answer:

12500000000000

Step-by-step explanation:

Answer:

5

4

x100100000

Step-by-step explanation:

5x108

4

x105

Simplifies to:

5

4

x100100000

=

5

4

x100100000

12.566

Hope this helped :T

Answer:

40 and 60

Step-by-step explanation:

Sum of ratio=2+3

sum of ratio=5

Share of part 2=2/5*100

share of part 2=40

Share of part 3=3/5*100

share of part 3=60

Note:if you need to know any question please let me know.

Answer:

x= −3/10

y= 3/7

Step-by-step explanation:

The two most common graphical charting techniques are bar charts and line charts. (Option B)

The two most common graphical charting techniques are bar charts and line charts.

Bar charts are used to represent categorical data by displaying rectangular bars of different heights, where the length of each bar represents a specific category and the height represents the corresponding value or frequency.

Line charts, on the other hand, are used to represent the trend or relationship between data points over a continuous period or interval. Line charts connect data points with straight lines to show the progression or change in values over time or other continuous variables.

Option B) bar charts and line charts accurately represent the two most common graphical charting techniques used in data visualization. Vertical and horizontal charts (option A) are not specific chart types but rather describe the orientation of the axes. Series charts (option C) and printed charts and screen charts (option D) are not commonly used terms in the context of charting techniques.

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Answer:

Step-by-step explanation:

First we can determine that this is a special 45-45-90 triangle, since the two legs are congruent, meaning the two unknown angles are congruent as well:

180 = 90 + 2(theta)

theta = 45

Knowing this, we can remember that the hypotenuse of this special triangle is equal to the leg*sqrt(2).

This means that 1 = x(sqrt(2)).

\(x=\frac{1}{\sqrt{2} }\)

Hope this helps!

To find f(3) given the function f(t) = u(t) - e^(t), the point u(3) = (1, 2, -1), and the vector v(t) = (1, ², ³), we need to substitute t = 3 into the function and perform the necessary calculations.

Substituting t = 3 into f(t) = u(t) - e^(t), we have:

f(3) = u(3) - e^(3)

Since u(3) is given as (1, 2, -1), we have:

f(3) = (1, 2, -1) - e^(3)

To evaluate e^(3), we need to calculate the exponential function e^(3) = e * e * e.

Finally, we subtract e^(3) from (1, 2, -1) to find the value of f(3). The result will be a vector with three components.

Please note that the specific values of e^(3) and the final vector components cannot be provided here as they involve numerical calculations.

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Answer:

-12, decreasing

Step-by-step explanation:

you can graph it if its confusing to understand. if you graph it and put a line to the points, you can see that the line is going down at a rate of -12

Answer:

-12 decreasing

Step-by-step explanation:

The correct interpretation of this confidence interval is that, based on the random sample of 351 diamonds taken from AwesomeGems.com on July 28, 2005, with a confidence level of 95%, the true population mean cost per carat of diamonds purchased from the website is estimated to fall between $5938.42 and $6546.32.

This means that if we were to repeat the sampling process many times and construct confidence intervals using the same method, about 95% of these intervals would contain the true population mean cost per carat. It is important to note that this statement is about the population mean, not any particular diamond's cost, and that this interval only applies to diamonds purchased from AwesomeGems.com on July 28, 2005.

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The given question can be solve using quadratic formula.

The correct option is (c) \(3x^2 +8x -10=-8\).

Given:

The given equation is,

\(x=\dfrac{-8\pm\sqrt{8^2-4(3)(-1)}} {2(3)}\)---------------------------(1)

Write the general quadratic equation.

\(ax^2 + bx +c=0\)

Write the quadratic formula.

\(x =\dfrac {-b \pm \sqrt{(b^2 - 4ac)} } {2a}\)------------------------------- (2)

Compare equation (1) and (2).

\(a=3\\b=8\\c=-2\)

Substitute the value of \(a\), \(b\) and \(c\) in general quadratic.

\(3x^2 +8x -2=0\)

Subtract \(8\) from each side of above equation.

\(3x^2 +8x -2 -8=0-8\\3x^2 +8x -10=-8\)

Thus, the correct option is (c) \(3x^2 +8x -10=-8\).

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Answer:

1/6 would be less than 6/12

Step-by-step explanation:

6/12 if you transform it to lowest common denominator (LCD) You will get 3/6

Answer: 1/6

Step-by-step explanation:

When simplified out to be equivalent, 1/6 remains the same, while 6/12 changes to 3/6

Therefore, 3/6>1/6

The required equation of the tangent of the curve to the given value of the parameter  x = tcost  , y = tsint for t = π is equal to y = πx - π².

As given in the question,

Given parameter of the tangent to the curve is equal to

x = tcost  , y = tsint for t = π

y₁ = πsinπ

   = 0

x₁ = πcosπ

   = -π

Slope 'm' = dy/dx

dy/dt = sint + tcost

dy/dt at t = π

⇒dy/dt= sinπ + πcosπ

⇒dy/dt = 0 + (-π)

⇒dy/dt = -π

dx/dt = cost -tsint

dx/dt at t = π

⇒dx/dt=cosπ + πsinπ

⇒dx/dt = -1

dy/dx = (dy/dt)/ (dx/dt)

⇒ dy/dx = π

Required equation is :

y - y₁ = m ( x - x₁)

⇒y - 0 = π( x - (-π))

⇒ y = πx + π²

Therefore, the required equation of the tangent for the given parameters is equal to y = πx + π².

The above question is incomplete , the complete question is:

Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter. x=tcost, y=tsint, t=π.

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A simple linear regression on the data set can be performed as -

Option A : Yes, the data is numerical so this condition is met.

What is linear regression?

In order to demonstrate the relationship between two variables, linear regression applies a linear equation to the observed data. The idea is that one variable acts as an independent variable and the other as a dependent variable. For instance, a person's weight and height are linearly connected.

The movie theatre wants to record relationship between popcorn and soda sales.

The sales will be in numerical values.

The amount of time they want to collect the data is 3 months = 90 days.

This data is also numerical.

Since, two thing are recorded popcorn sales and soda sales there will be two variables in the linear regression.

Therefore, the linear regression can be performed on the data set.

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