Assuming that the sequence converges, what must its limit be? an t16 а1 3D -1, ап+1 1 an 7 lim an п-о L also. Hint: If lim an = L, then lim an+1 n oo п-0 (1 point) Assuming that the sequence converges, what must its limit be? 1 3 + 1 1 3, 3 3 + 3 + 3 3 + 3+ Limit is L. then lim an+1 Hint: If lim a,n L also. noo noo

Answer:

logarithmic & absolute

No option given is a correct option completely.

Various functions have been given in the question.

We have to find which of them do not have an x-intercept.

What is the process to find the x-intercept ?

To find x-intercept , set y = 0 and solve for x.

Let us discuss each parent function one by one:

1. Quadratic:

y = \(x^{2}\)

When we put x = 0, we get y = 0

Therefore, it has intercept at (0, 0).

2. Absolute Value:

y = |x|

When we put x = 0, we get y = 0

Therefore, it has intercept at (0, 0).

3. Rational:

y = \(\frac{1}{x}\)

When we put x = 0 , we get y = 0

Therefore, it doesn't have intercept at (0, 0).

4. Exponential:

y = \(b^{x}\)

b is any base

When we put x = 0 , we doesn't get y =0

Therefore, it doesn't have intercept at (0, 0).

5 . Logarithmic:

y = log (x)

When we put x = 0 , we get y = Not defined

Therefore, it doesn't have intercept at (0, 0).

6. Square root :

y = √ x

When we put x = 0 , we get y = 0

Therefore, it has intercept at (0, 0).

Thus , none of the options are perfectly correct.

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We want to find the dimensions of the poster such that the area of the whole poster is minimized .These are: Length = 325.2cm and

Width = 17cm

We can assume that the poster is a rectangle, and we know that a rectangle of length L and width W has an area:

A = L*W

Here we do know that the top and bottom margins are 9 cm each.

The side margins are 6cm each.

Then the measures of the printed areas are:

W' = W - 2*6cm = W - 12cm

L' = L - 2*9cm = L - 18cm

And we know that the area of the printed part is 1536 cm^2, then we can write:

A'  = (W - 12cm)*( L - 18cm) = 864 cm^2

      W*L - 12cm*L - 18cm*W + 216cm^2 = 1536 cm^2

      W*L = 12cm*L + 18cm*W + 1320cm^2

And W*L is equal to the area, so what we need to minimize is:

A =  12cm*L + 18cm*W + 1320cm^2

Here we can see that the dependence of the area is larger on W than on L, so what we need to minimize is W.

We will take the smallest value of W such that the given margins are allowed.

That value would be such that:

W - 12cm > 0

W > 12cm

this could (and to be strict, should) be something like 16.0001cm, but let's use 17cm just to use whole numbers, we will get:

W = 17cm

Then to get the length we solve:

W*L = 12cm*L + 18cm*W + 1320cm^2

17cm*L = 12cm*L + 18cm*17cm + 1320cm^2

5cm*L = 1560cm^2

L = 325.2cm

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10⁻² in expanded form is \(\frac{1}{100}\) in fractional form or 0.01 is decimal form.

The number 10⁻² is written in scientific notation.

Mathematically 10⁻²= \(\frac{1}{10^2}\)=1/100 =0.01

Hence the expanded form of 10⁻²  is 0.01 .

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Answer:

Step-by-step explanation:

1.7 lies between 1 and 2.

ML function will not work correctly or fail if implemented using statically allocated activation records. This is because each activation record would have the same memory address for lst[0], which would cause the value to be overwritten each time the function is called recursively. This would result in incorrect results being returned by the function.

Here's an example of a recursive function that would not work correctly if implemented using statically allocated activation records:

def sum_list(lst):

   if not lst:

       return 0

   else:

       return lst[0] + sum_list(lst[1:])

This function takes a list of numbers and recursively sums them up. The problem with implementing this function using statically allocated activation records is that the value of lst[0] would be overwritten when the recursive call is made, since it would be stored in the same location in memory as the previous call's lst[0].

To avoid this problem, dynamic memory allocation is needed so that each activation record can have its own copy of the list, rather than sharing the same memory address. This can be done using techniques like heap allocation or dynamic arrays.

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As the number of people visiting each day is the same 404 people visited on Sunday.

We have,

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, The water park had a total of 1,212 visitors on Friday, Saturday, and Sunday and the number of people who visited on each day is the same.

As the number of visitors is same on each day and the total number of days is three each they the number of people visited is,

= (1212/3).

= 404.

So, On Sunday 404 visitors were there.

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complete question:

The water park had a total of 1,212 visitors on Friday, Saturday, and Sunday. If the same number of people visited each day, how many visitors were there on Sunday

Answer:

No

Step-by-step explanation:

3x-5= 4+2x

Or, x=4+5

x=9

Answer:

1. numerator;

2. denominator

Step-by-step explanation:

For a one-way within-subjects ANOVA, the mean difference attributed to the manipulation is in the NUMERATOR, and the mean difference attributed to individual differences is in the DENOMINATOR of the test statistic.

The polynomial that represents the total surface area of the sphere with a radius of 2x + 5 is given by 16πx² + 80πx + 100π.

To find the polynomial that represents the total surface area of the sphere with a radius of 2x + 5, we can use the formula for the surface area of a sphere, which is given by S = 4πr², where S is the surface area and r is the radius.

Substituting the given radius of 2x + 5 into the formula, we get:

S = 4π(2x + 5)²

To simplify this expression, we need to expand the square term:

S = 4π(4x² + 20x + 25)

Now, we can distribute the 4π across the terms inside the parentheses:

S = 16πx² + 80πx + 100π

The resulting expression is a polynomial in standard form that represents the total surface area of the sphere.

This polynomial is obtained by substituting the given radius into the surface area formula for a sphere and simplifying the expression.

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2n^3 + 3n + 10 can be written as a polynomial of the form Q(n^3), where Q(n^3) represents the set of polynomials of the form a(n^3).

To prove that the expression 2n^3 + 3n + 10 is in the set Q(n^3), where Q(n^3) represents the set of polynomials of the form a(n^3), we need to show that the expression can be written in the form a(n^3) for some constant "a".

Let's start by factoring out the common factor of n^3 from each term:

2n^3 + 3n + 10 = n^3(2 + 3/n^2 + 10/n^3)

Now, let's rewrite the expression as a single term multiplied by n^3:

2n^3 + 3n + 10 = (2 + 3/n^2 + 10/n^3)n^3

Simplifying the expression inside the parentheses:

= (2n^3 + 3n^2 + 10n^3)/n^3

= (12n^3 + 3n^2)/n^3

= 12 + 3/n

ow, we can see that the expression can be written in the form a(n^3), where a = 12 and n^3 = 3/n.

Therefore, we have shown that 2n^3 + 3n + 10 can be written as a polynomial of the form Q(n^3), where Q(n^3) represents the set of polynomials of the form a(n^3).

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Answer:

4 seconds

Step-by-step explanation:

Given equation:

\(y=256-16x^2\)

where:

The penny reaches the ground when the height is zero, so when y = 0.

Substitute y = 0 into the given equation and solve for x:

\(\begin{aligned}y&=256-16x^2\\y=0 \implies 0&=256-16x^2\\0+16x^2&=256-16x^2+16x^2\\16x^2&=256\\\dfrac{16x^2}{16}&=\dfrac{256}{16}\\x^2&=16\\\sqrt{x^2}&=\sqrt{16}\\x&=\pm4\end{aligned}\)

As time is positive, x = 4 only.

Therefore, it takes 4 seconds for the penny to reach the ground.

Answer:

B

Step-by-step explanation:

Answer:

EF / LM = 1 / 4

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, dilation and rotation.

Dilation is the enlargement or reduction in the size of a figure. If a point A(x, y) is dilated by a scale factor of k, the new point is at A'(kx, ky).

Translation is the movement of a point right, left, up or down. If a point A(x, y) is translated a units left and b units down, the new point is at A'(x - a, y - b).

Translation preserves the size and shape of an object. Dilation preserves the shape but not the size.

Cdef maps to jklm with the transformation (x,y) to (4x,4y) to (x-4,y-9).

CDEF was first dilated by a scale factor of 4 to get (4x,4y) before it was translated by (x-4,y-9). Since dilation changes the size of the figure, hence JKLM would be 4 times the size of CDEF. Therefore:

LM / EF = 4

EF / LM = 1 / 4

Answer:

HCF of 72,487 & 112 = 1

Step-by-step explanation:

i think this is the answer b/c HCF of 72 & 487 is 1 so HCF of 72,487 & 112 is 1

Options B, C, and D (Expected Utility, Maximin, and Minimax Regret) are decision-making criteria used in different contexts, but they are not specifically related to calculating ROI.

The calculation that should be used when calculating Return on Investment (ROI) is option A: Expected Monetary Value.

ROI is a financial metric that measures the profitability of an investment by comparing the gain or loss from the investment relative to its cost. It is typically expressed as a percentage.

To calculate ROI, the expected monetary value of the investment is considered. It takes into account the potential gains or losses associated with the investment and the probabilities of those outcomes. By multiplying the potential outcomes by their respective probabilities and summing them up, the expected monetary value can be calculated.

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543 cubic centimeters has 0.543 L approximate displacement

Engine displacement means the displacement of the piston inside cylinder from Bottom Dead Center into Top Dead Center in one cycle.

Basic formula to calculate engine displacement is

V = π/4 x \(D^{2}\) x H x N

Where :

D = Bore Diameter

H = Length of Stroke

N = Number of Cylinder

Since the question has already stated cubic centimeter, it has already show the displacement. So, we can ignore above formula and the 4 cylinder engine information.

First, we state what is known. It is the displacement at cubic centimeter

Cubic centimeter = 543 cc

Next, we change the unit of cubic centimeter ( cc ) into liter ( L )

Displacement = cc / 1000 L

                       = 543 / 1000 L = 0.543 L

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Greetings from Brasil...

Using Cossine we will get the length L of ladder

COS 35 = 5/L

Therefore, the directional derivative of f at P=(1,-1,-2) in the direction of A=3i+2j-6k is -2.

To find the directional derivative of f(x,y,z) at P=(1,-1,-2) in the direction of A=3i+2j-6k, we first need to find the gradient of f at P, which is given by:

grad(f) = ∇f = (∂f/∂x)i + (∂f/∂y)j + (∂f/∂z)k

Here, f(x,y,z) = xy + yz + zx, so we have:

∂f/∂x = y + z

∂f/∂y = x + z

∂f/∂z = x + y

Thus, at P=(1,-1,-2), we have:

∇f(P) = (∂f/∂x)i + (∂f/∂y)j + (∂f/∂z)k

= (y+z)i + (x+z)j + (x+y)k

= (0+(-2))i + (1+(-2))j + (1+0)k

= -2i - 1j + 1k

Next, we need to find the unit vector in the direction of A:

|A| = sqrt(3^2 + 2^2 + (-6)^2) = 7

u = A/|A| = (3/7)i + (2/7)j - (6/7)k

Finally, we can compute the directional derivative of f at P in the direction of A as:

(DAf) | 1(1,-1,-2) = ∇f(P) · u

= (-2i - 1j + 1k) · (3/7)i + (2/7)j - (6/7)k

= -6/7 - 2/7 - 6/7

= -2

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Answer:

Hii! This is already written in slope intercept form.

For a refresher, slope intercept form is \(y=mx+b\)

\(y\) = y-coordinate

\(m\) = slope

\(x\) = x-coordinate

\(b\) = y-intercept

In this equation,

\(m\) is \(-1/2\)

\(b\) is \(-5\)

Hope this answers your questions.

The Boolean function F(x, y, z) is equivalent to the Boolean expression:

F(x, y, z) = xy'z + xyz' + x'y'z + x'yz' + xy'z' + x'y'z' + xyz + x'yz

The Boolean function is given as follows:

F(x, y, z) = (y + x)(y + x')(y' + z)

Using the distributive property, we can expand the given function as:

F(x, y, z) = (y + x)(y + x')(y' + z)

= (y² + xy + x'y + x' y')(y' + z)

= y² y' + y² z + xy y' + xy z + x'y y' + x'y z + x'y' y' + x'y' z

= xy'z + xyz' + x'y'z + x'yz' + x'y'z' + xy'z' + xyz + x'yz

= xy'z + xyz' + x'y'z + x'yz' + xy'z' + x'y'z' + xyz + x'yz

Therefore, the given Boolean function is equivalent to the Boolean expression:

F(x, y, z) = xy'z + xyz' + x'y'z + x'yz' + xy'z' + x'y'z' + xyz + x'yz

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Answer:

(-5,-15)

Step-by-step explanation:

Answer:

(-5,-15)

Step-by-step explanation:

3x=2x-5

-2x  -2x

x=-5

y=3(-5)

y=-15

Answer:

y = 4.8

Step-by-step explanation:

y = k/x

4 = k/6

k = 24

y = 24/5

y = 4.8

Answer:

Given:

radius of bigger half circle[R]=(7+7+14)/2=14cm

radius of smaller half circle [r]=14/2=7cm

Area of shaded region =1/2[πR² -πr²]

=1/2×22/7×[14²-7²]=231cm²

Area of shaded region=231cm²

Answer:

No, he is not correct.

Step-by-step explanation:

Check the attachment.

Answer:

3*-3+2*-2=

Step-by-step explanation:

-13

The statement "if the feasible set is unbounded, changing its right side can cause it to have a limited optimum" is FALSE.

Therefore, the statement "if p is unbounded, changing its right side can cause it to have a limited optimum" is FALSE.

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You subtract the lowest point from the highest point.

Lowest Point = 6 because the lowest y value the graph reaches is 6

Highest point is 12

12 - 6 = 6.

This is the positive difference in feet (because the graph already states on the left column that the values are depth in feet) between the greatest water depth and least water depth in the graph.

Answer:

it's the third one trust me