Find the nth term of this quadratic sequence
2, 8, 18, 32, 50, ...

Answer:

Here,

x+(-5) = 4

x = 4+5

x = 9

Therefore, 9+(-5) = 4

(a) Using the double-bar graph shown in the figure, we can estimate the number of female workers in Sales. The bar reaches some height in the middle of 200 to 250, so we can estimate 225.

(b) Checking the bars, we must select those departments where the gray bar is higher than the red bar.

If happens in.

Advertising

Sales

(c) Counting up the total employees per department, we have that:

Advertising has 150+175=325

Sales has 200+225=425

Production has 250+225=475

Accounting has 240+210=450

Answer: Production

Answer:

900,000,000+700,000+10,000+3

Answer:

9.00710003  ×  10^8 or   900710003

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  

10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

9.00710003  ×  10^8

or

Write  900710003  as an equation.

y = 900710003

Hope this helps!

Please Mark Brainliest!

The derivative of its inverse function \(f^{-1}\)(x) evaluated at  x = a is:

\([f^{-1}] ^{'} (a)\) = 1/\(f^{'} [f^{-1} (a)]\)

This means that the derivative of the inverse function is the reciprocal of the derivative of the function itself, evaluated at the value of the inverse function.

To see why this is true, start with the function y =  \(f^{-1}\)(x)  Write this as

x = f(y) and differentiate both sides implicitly with respect to x using the Chain Rule:

1 = \(f^{'}\)(y).dy/dx

dy/dx = 1/ \(f^{'}\)(y)

y =  \(f^{-1}\)(x)  

At the point

x = a this becomes:

\([f^{-1}] ^{'} (a)\) = 1/\(f^{'} [f^{-1} (a)]\)

We can apply the above technique  to find the derivative of f − 1  to find the derivatives of  inverse trigonometric functions.

know more about derivative click here;

https://brainly.com/question/30365299

#SPJ4

Simple variance analysis compares actual costs with standard costs, while flexible variance analysis incorporates actual activity or output into budget calculations.

Simple Variance Analysis: Determine the standard or budgeted cost for each component of the project or process. Measure and record the actual cost incurred for each component. Calculate the variance by subtracting the actual cost from the standard cost for each component. Analyze the variances to identify the reasons for deviations between the actual and standard costs. Investigate the causes of significant variances and take appropriate corrective actions if necessary.

Flexible Variance Analysis: Determine the flexible budget based on the actual output or level of activity. Calculate the flexible budget variance by subtracting the flexible budget amount from the actual cost or revenue. Calculate the price variance by comparing the actual price per unit with the budgeted price per unit and multiplying it by the actual quantity. Calculate the efficiency variance by comparing the actual quantity with the budgeted quantity and multiplying it by the budgeted price per unit. Analyze the variances to understand the reasons for deviations from the flexible budget. Investigate the causes of significant variances and take appropriate corrective actions if necessary.

Both simple variance analysis and flexible variance analysis are used to compare actual performance against standard or budgeted performance and identify the reasons for deviations. Simple variance analysis focuses on comparing actual costs with standard costs, while flexible variance analysis incorporates the actual level of activity or output into the budget calculations.

To know more about variance analysis,

https://brainly.com/question/29695026

#SPJ11

According to the question to maximize the area of the pen, the dimensions should be a length of 450 feet and a width of 225 feet.

To maximize the area of the rectangular pen, we need to find the dimensions that use up the entire 900 feet of fencing.

Let's assume the length of the pen is L and the width is W. Since there are three sides that need fencing, we have \(2W + L = 900.\)

To maximize the area, we need to express the area A in terms of a single variable. The area of a rectangle is given by \(A = L * W.\)

From the equation \(2W + L = 900\), we can solve for L to get \(L = 900 - 2W.\)

Substituting this value of L in the equation for the area, we have \(A = (900 - 2W) * W.\)

Expanding and simplifying, we get \(A = 900W - 2W^2.\)

To find the dimensions that maximize the area, we need to find the vertex of the quadratic function \(A = -2W^2 + 900W\). The vertex can be found using the formula \(W = -b / (2a)\), where \(a = -2\) and \(b = 900.\)

\(W = -900 / (2 * -2) = 225.\)

Substituting this value of W back into the equation for L, we have \(L = 900 - 2(225) = 450.\)

Therefore, to maximize the area of the pen, the dimensions should be a length of 450 feet and a width of 225 feet.

To know more about quadratic visit-

brainly.com/question/15832372

#SPJ11

Answer: The second one (B)

Hope this helps! :)

Step-by-step explanation:

The times when Hayden made the bracelets in this situation don't matter. All that matters in this problem is how many he made. Since it tells you that he made them for 5 days, you would multiply the number of bracelets by the days, to get the total. (Or write the equation like so: 5*(2+4))

And of course, since they are divided into groups as the last step, we have division.

5*(2+4) /6

Answer:

Step-by-step explanation:

30% off of 10000 is 3000

So the loss is 10000-3000=7000

30% gain on 10000 is 3000

so the gain is 10000+3000=13000

So in all there was no losses or gains. It still equals to 20000

In the given Markov chain, State 1 is absorbing, State 4 is periodic, State 1 is recurrent, and States 3, 4, and 5 are recurrent.

A Markov chain is a stochastic model that represents a sequence of states where the probability of transitioning from one state to another depends only on the current state. Let's analyze the given Markov chain to determine the properties of each state.

State 1: This state has a probability of 1 in the first row, indicating that it is an absorbing state. An absorbing state is one from which there is no possibility of leaving once it is reached. Therefore, statement a) is correct, and State 1 is absorbing.

State 2: There are no transitions from State 2 to any other state, which means it is an absorbing state as well. However, since it is not explicitly mentioned in the question, we cannot determine its status based on the given information.

State 3: This state has non-zero probabilities to transition to other states, indicating that it is not absorbing. Furthermore, it has a loop back to itself with a probability of 1/6, making it recurrent. Hence, statements c) and e) are incorrect, while statement f) is correct. State 3 is recurrent.

State 4: State 4 has a transition probability of 1/3 to State 3, which means there is a possibility of leaving this state. However, there are no outgoing transitions from State 4, making it an absorbing state. Moreover, since there is a loop back to itself with a probability of 2/3, it is also recurrent. Therefore, statement b) is correct, and State 4 is periodic and recurrent.

State 5: Similar to State 4, State 5 has a transition probability of 2/3 to State 3 and no outgoing transitions. Hence, State 5 is also an absorbing and recurrent state. Consequently, statement e) is correct.

To summarize, State 1 is absorbing and recurrent, State 4 is periodic and recurrent, and States 3 and 5 are recurrent.

Learn more about markov chain here:

https://brainly.com/question/30465344

#SPJ11

Answer:

Volume = 240 cubic meters

Step-by-step explanation:

6 x 8 x 5 = 240

(Length x Width x Height)

Answer:

12.15 -2412.00= - 2399.85

The equivalent expression will be;

⇒ 12.15 - 2412

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ - 2412 + 16.15 - 4

Now,

Since, The expression is,

⇒ - 2412 + 16.15 - 4

⇒ - 2412 + 12.15

⇒ 2399.85

From option (i);

⇒ 2412 – 16.15 + 4

⇒ 2412 - 12.15

⇒ 2399.85

Hence, It is not correct.

By option 5;

⇒ 12.15 – 2412

⇒ - 2399.85

Hence, It is correct.

Thus, The equivalent expression after solving,

⇒ 12.15 - 2412

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

On evaluating the exponents it is obtained that -

Goat hair is about 0.02 times as thick as human hair.

What is an exponent?

The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.

To find how many times thicker the goat hair is compared to the human hair, we can divide the thickness of goat hair by the thickness of human hair.

Divide the given exponent values -

\(\frac{1 \times 10^4}{5 \times 10^5}\) meters

To simplify this fraction, we can divide both the numerator and denominator by \(5 \times 10^4\) -

\(\frac{\frac{1 \times 10^4}{5 \times 10^4} }{\frac{5 \times 10^5}{5 \times 10^4} }\)

which equals -

1 / 50

In other words, goat hair is about 1 / 50 times as thick as human hair.

We can also express this in standard form without using exponents -

1/50 = 0.02

Therefore, the thickness value is about 0.02 meters.

To learn more about exponent from the given link

https://brainly.com/question/11975096

#SPJ1

The CNF representation in set notation is: {{P, A, Q, V}, {P, A, Q, R}}

The CNF representation in set notation is:{{P, V, Q}, {A}, {R}}

The CNF representation in set notation is:{{!P, H}, {Q}}

The CNF representation in set notation is:{{!S, P}, {!S, V}, {!S, Q}, {!S, V}, {!S, -R}}

The CNF representation in set notation is:{{R, S, -Q}, {R, S, -V}, {R, S, -P}}

To convert the formula (PAQVR) into CNF, we can break it down as follows:

Distribute the disjunction over the conjunction.

PAQVR = (PAQV) ∧ (PAQR)

Convert each clause into sets.

(PAQV) = {{P, A, Q, V}}

(PAQR) = {{P, A, Q, R}}

Combine the clauses using conjunction.

{{P, A, Q, V}} ∧ {{P, A, Q, R}}

The CNF representation in set notation is:

{{P, A, Q, V}, {P, A, Q, R}}

To convert the formula (-(PVQ) AR) into CNF, we can break it down as follows:

Remove the implication.

(-(PVQ) AR) = (!(-(PVQ)) ∨ A) ∧ R

Apply De Morgan's Law and distribute the disjunction over the conjunction.

(!(-(PVQ)) ∨ A) ∧ R = ((PVQ) ∨ A) ∧ R

Convert each clause into sets.

(PVQ) = {{P, V, Q}}

A = {{A}}

R = {{R}}

Combine the clauses using conjunction.

{{P, V, Q}, {A}} ∧ {{R}}

The CNF representation in set notation is:

{{P, V, Q}, {A}, {R}}

To convert the formula (PH-Q) into CNF, we can break it down as follows:

Convert the implication into disjunction and negation.

(PH-Q) = (!P ∨ H) ∨ Q

Convert each clause into sets.

!P = {{!P}}

H = {{H}}

Q = {{Q}}

Combine the clauses using conjunction.

{{!P, H}, {Q}}

The CNF representation in set notation is:

{{!P, H}, {Q}}

To convert the formula (-(S+ (-PVQV-R)) into CNF, we can break it down as follows:

Remove the double negation.

-(S+ (-PVQV-R)) = (!S ∨ (PVQV-R))

Distribute the disjunction over the conjunction.

(!S ∨ (PVQV-R)) = ((!S ∨ P) ∧ (!S ∨ V) ∧ (!S ∨ Q) ∧ (!S ∨ V) ∧ (!S ∨ -R))

Convert each clause into sets.

!S = {{!S}}

P = {{P}}

V = {{V}}

Q = {{Q}}

-R = {{-R}}

Combine the clauses using conjunction.

{{!S, P}, {!S, V}, {!S, Q}, {!S, V}, {!S, -R}}

The CNF representation in set notation is:

{{!S, P}, {!S, V}, {!S, Q}, {!S, V}, {!S, -R}}

To convert the formula ((RS) V-QV-P) into CNF, we can break it down as follows:

Distribute the disjunction over the conjunction.

((RS) V-QV-P) = ((RS ∨ -Q) ∧ (RS ∨ -V) ∧ (RS ∨ -P))

Convert each clause into sets.

RS = {{R, S}}

-Q = {{-Q}}

-V = {{-V}}

-P = {{-P}}

Combine the clauses using conjunction.

{{R, S, -Q}, {R, S, -V}, {R, S, -P}}

The CNF representation in set notation is:

{{R, S, -Q}, {R, S, -V}, {R, S, -P}}

Learn more about Conjuction:https://brainly.com/question/8094735

#SPJ11

Answer:

A.   7

B.   6

C.   70 degrees

Answer:

A. x=7

B. x=6

C. x= 40

Step-by-step explanation:

Trust me, I've been doing this kind of problems for 17 years. I'm an algebra teacher.

Answer:

15,10

Step-by-step explanation:

let the numbers be 3x and 2x

3x-2x=5

x=5

∴ numbers are 3×5,2×5

or 15,10

The correct explanation is (4). The spinner is likely fair, since in the output the player wins once or twice in the majority of the simulations.

The spinner is considered fair if the probability of winning each spin is 0.1, which means that the player should win about 1 out of every 10 spins. The output of the simulation shows that in the majority of the simulations, the player won once or twice, which is consistent with the expected probability of winning.

The fact that Miles lost all 10 times when he spun the spinner is just a matter of chance. It is possible to lose 10 times in a row even if the spinner is fair. In fact, the probability of losing 10 times in a row is about 0.1%, which is not very likely, but it is still possible.

Therefore, there is no evidence to suggest that the spinner is unfair. It is more likely that Miles simply lost due to chance.

Learn more about simulation on

https://brainly.com/question/15892457

#SPJ1

Answer:

46.5

Step-by-step explanation:

Of all straight angles have 180 degrees in them.

So, to find x we need to form this equation:

x + 65 + x - 22 = 180

2x + 43 = 180

2x = 180-43

2x = 137

68.5 degrees = x

68.5-22 = 46.5 degrees.

m<CBD = 46.5 degrees.

m<GBF = also 46.5 degrees because it is a vertical angle to <46.5 degrees.

Answer:

The first one is 440.0 percent and the second one is 440.0 percent

Step-by-step explanation:

because the first one as a fraction is 44/10 you can turn that as a percent and the second one you will have to move the boxes below the first top left box and then it will equal to 44/10 that turns to 440.0 percent

no problem!!

The transformations that occur in function g(x) as it relates to the graph of f(x) = x² are option B and C

In the given function, the only transformations that occur in the function g(x) as it relates to f(x) are B and C.

In option B, the translation down 251.5 units: In the original function f(x) = x², the graph is centered at the origin (0, 0). However, in g(x) = -0.0018 * (x - 251.5)² + 118, the term (x - 251.5) causes a horizontal shift to the right by 251.5 units. This means that the graph of g(x) is shifted to the right compared to the graph of f(x). Since the term is subtracted, it has the effect of shifting the graph downwards by the same amount, hence the translation down 251.5 units.

Likewise, in option C, the translation up 118 units: In the original function f(x) = x², the graph intersects the y-axis at the point (0, 0). However, in g(x) = -0.0018 * (x - 251.5)² + 118, the term 118 is added to the expression. This causes a vertical shift upwards by 118 units compared to the graph of f(x). So, the graph of g(x) is shifted upwards by 118 units.

Therefore, the transformations that occur in g(x) as it relates to the graph of f(x) = x²are a translation down 251.5 units and a translation up 118 units.

Learn more on transformation of a function here;

https://brainly.com/question/10904859

#SPJ1

Answer:

5/11

Step-by-step explanation:

Between numbers 1 - 11, the evens are 2, 4, 6, 8, and 10. Therefore, there are 5 evens.

Out of the eleven choices in the bag, there are 5 possible choices to be picked out of the 11 total choices.

Therefore, the probability of drawing an even number over the number of choices is 5/11.

Answer:

y = x^2 +x -6

Step-by-step explanation:

The two x intercepts would be represented in a polynomial with the expressions (x-2) and (x+3).  [we know that each is equal to 0, the y-intercept].

Thus, we can build a polynomial by using both expressions, such as:

(x-2)*(x+3)

= x^2 +x -6

The linear equation which can be used to represents Curtis weekly salary is S = 8H + 0.02C

Weekly salary = Curtis wage per hour(Hours Worked) + Percentage commission(Commission earned on total sales)

S = 8(H) + 2%(C)

S = 8H + 0.02(C)

S = 8H + 0.02C

So therefore, Curtis linear equation for his weekly salary is S = 8H + 0.02C

Read more on linear equation:

https://brainly.com/question/4074386

#SPJ1

The output when m1(5) is called will be 10. The recursive calls continue until the base case of a = 1 is reached, and at that point, the method returns the value of 10.

The method, m1, is a recursive method that takes an integer parameter 'a'.

When m1(5) is called:

1. The condition (a == 1) is false, so the method moves to the 'else' block.

2. It calls m1(a - 1), which means it calls m1(4).

3. The same process repeats with m1(4), m1(3), m1(2), and finally m1(1).

4. When m1(1) is called, the condition (a == 1) is true, so the method returns 10.

5. The return value of 10 is then propagated back through each recursive call.

Therefore, the output when m1(5) is called will be 10.

To know more about output refer here:

https://brainly.com/question/14227929#

#SPJ11

Answer:

x = 33

Step-by-step explanation:

103 = 3x +4

99 = 3x

3x = 33

Answer:

6 (r + 9)

Step-by-step explanation:

6 times the sum of r and 9 means 6 (r + 9)

The expression is:

To be a function this has to have a unique values of y for each values of x, son in this case the expression has the form of a linear function that is equal to:

So So for example if i replace x = 1:

There is not other number that I can give to x that the output of y will be equal to 1, this means that the expression y = -7x + 8 is a function

This is the solution to the differential equation dS/dt = k(D - S), subject to the initial condition S(0) = S0.

We can solve the differential equation by separating variables and integrating both sides:

dS/dt = k(D - S)

dS/(D - S) = k dt

Integrating both sides, we get:

-ln|D - S| = kt + C

where C is an arbitrary constant of integration. We can solve for S by taking the exponential of both sides and solving for |D - S|:

|D - S| = e^(-kt - C) = Ce^(-kt)

where C = e^C. We can assume that S(0) = S0, so we have:

|D - S0| = Ce^0 = C

Since |D - S| is always non-negative, we can drop the absolute value signs and write:

D - S = Ce^(-kt) or S = D - Ce^(-kt)

To determine the constant C, we use the initial condition S(0) = S0:

S(0) = D - Ce^(-k*0) = D - C = S0

Therefore, C = D - S0, and the formula for S(t) becomes:

S(t) = D - (D - S0)e^(-kt) = S0 + (D - S0)(1 - e^(-kt))

To learn  more about integrating visit:

brainly.com/question/30217024

#SPJ11

Answer:

5

Step-by-step explanation:

its not 6 because its about 2 units. here's a tip: whenever you have a longer side than side X just shift side x into the longer side and see how many units separate it.

The open interval(s) = (-∞, ∞).

Given , r(t) = (e^-t, 2t^2, 5 tan(t))

Differentiating r(t) to get the first derivative of r(t) r'(t).r'(t) = Differentiating r'(t) to obtain the second derivative of r(t) r"(t).

Now, differentiate the r'(t) to obtain the second derivative,

r"(t)r(t) = (e^-t, 2t^2, 5 tan(t))r'(t) = (-e^-t, 4t, 5 sec²(t))

Again, Differentiating r'(t) to obtain the second derivative of r(t) r"(t).r"(t) = (e^-t, 4, 10 tan(t) sec²(t) )

The open interval(s) for the given function will be the domain of the function.

Here, as all the three components of the function are continuous, the function will be continuous for all t.

Therefore, the open interval(s) is (-∞, ∞).

Hence, the required values are:r"(t) = (e^-t, 4, 10 tan(t) sec²(t) )

To know more about domain please visit :

https://brainly.com/question/26098895

#SPJ11