Suppose that a function f has derivatives of all orders at a. Then the series f(k) (a) k! - (x − a)k is called the Taylor series for f about a, where f(n) is then th order derivative of f. Suppose that the Taylor series for e2 cos (2x) about 0 is ao + a₁ + a₂x² + +4²¹ +... a4 = Enter the exact values of ao and as in the boxes below. a0 ª0 = 1
(2 marks) Consider the Maclaurin series fore and cosha: where A = 1 8Wi 8 (i) Using the power series above, it follows that the Maclaurin series for e4 is given by k! 32/3 and cosh z= A + Br + C₂² P3(x) = B z2k (2k)! + Dz³ + 4 and D (ii) Using the power series above, or otherwise, calculate the Taylor polynomial of degree 3 about 0 for e4 cosh z. [Make sure to use Maple syntax when you enter the polynomial. For example, for P3(x) = 4+3x+5x² + 72³ you would enter 4+3*x+5*x^2+7*x^3.]

Answer:

18 feet2

Step-by-step explanation:

Thanks Have a nice day

Therefore , the solution to the given problem of linear equation comes out to be T= 64.

Any function that fulfills the algebraic equation y=mx+b is said to be linear. B is the slope, and m is the y-intercept. Since both x and y are factors, the previous sentence is commonly referred to as an equation system with two variables." Two-variable linear equations are referred to as bivariate equations. There are several applications for linear equations: x + z = 2, and 3z - y + z = 3 both have a zero solution. If an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept, it is referred to as linear. The equation is written as Y=mx+b, where m denotes the slope and b the y-intercept.

Here,

Given : 3+ T/2 = 35

thus,

=>  3+ T/2 = 35

=> T/2 = 35-3

=> T/2 = 32 *2

=> T= 64

Therefore , the solution to the given problem of linear equation comes out to be T= 64.

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Answer:

183 miles per hour.

Explanation:

The estimated velocity(v) at the end of a drag race is modeled using the formula below:

Given:

• The horsepower, p = 1311

• The weight (in pounds), w = 2744 pounds.

Substitute into the formula above:

The velocity is approximately 183 miles per hour.

Answer:

x=3

Step-by-step explanation:

Alice is 55 km from her starting point after walking a distance of 55 km along the perimeter of the park.

To find the distance Alice is from her starting point after walking along the perimeter of the park, we can use the concept of congruent sides in a regular hexagon.

The perimeter of a regular hexagon is equal to the sum of its six congruent sides. Given that each side of the hexagon is 22 km long, the total perimeter of the hexagon is 6 * 22 km = 132 km.

Since Alice walks a distance of 55 km along the perimeter of the park, we can determine the number of complete laps she makes around the hexagon by dividing the distance she walked by the perimeter of the hexagon: 55 km / 132 km = 0.4167 laps.

As Alice starts and ends at a corner of the hexagon, each complete lap brings her back to the same corner. Therefore, the fractional part of the number of laps represents the portion of the hexagon's perimeter she has traveled beyond the starting corner.

To find the remaining distance from Alice's current position to the starting point, we calculate the fractional part of the number of laps and multiply it by the perimeter of the hexagon: 0.4167 * 132 km = 55 km.

A regular hexagon is a polygon with six congruent sides. In this problem, the regular hexagon represents the shape of the park, and each side of the hexagon has a length of 22 km. The perimeter of the hexagon is found by multiplying the length of one side by the number of sides, which is 6. Therefore, the perimeter of the hexagon is 6 * 22 km = 132 km.

When Alice walks along the perimeter of the park for a distance of 55 km, we need to determine how many complete laps she makes around the hexagon. By dividing the distance she walked by the perimeter of the hexagon, we find that she completes approximately 0.4167 laps.

Since Alice starts and ends at a corner of the hexagon, each complete lap brings her back to the same corner. Therefore, the fractional part of the number of laps represents the portion of the hexagon's perimeter she has traveled beyond the starting corner.

In this case, multiplying 0.4167 by 132 km gives us a result of approximately 55 km. Therefore, Alice is 55 km from her starting point after walking a distance of 55 km along the perimeter of the park.

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The total cost of a 3 night stay is $776.

Given,

Cost of rent per night = $229

Price of one time cleaning fee = $89

As Mr. pham will be staying for 3 nights, then the cost for three nights will be 3*229=687

and also one time cleaning fee is also included then

Total cost of a 3 night stay =687+89=776

Thus, the total cost of a 3 night stay is $776.

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Answer:

6.5%

Step-by-step explanation:

I = prt

5616 = 7200 × r × 12

r = 5616/(7200 × 12)

r = 0.065

r = 6.5%

a) When the vehicle's speed was dropped to 30 mph, it moved 73 feet.

b) When the vehicle's speed was dropped to 15 mph, it moved 117 feet.

Kinematic equations are a collection of equations that describe how an item moves when its acceleration is constant. The deceleration rate is then determined using this using method, \(a=\frac{v^2-v_0^2}{2\Delta\cdot s}\) where v is the final speed, v₀ is the initial speed, and Δs is the traveled distance.

Given v₀= 66 ft/s (45 mph), Δs=132 feet, and v=0 ft/s. Then,

\(\begin{aligned}a&=\mathrm{\frac{(0-66^2)ft^2/s^2}{2\times132\;ft}}\\&=\mathrm{-16.5\;ft/s^2}\end{aligned}\)

a) The distance covered by the vehicle at a 30 mph (44 ft/s) reduction in speed is,

\(\begin{aligned}\Delta s&=\frac{v^2-v_0^2}{2\cdot a}\\&=\mathrm{\frac{(44^2-66^2)\;ft^2/s^2}{2\times-16.5\;ft/s^2}}\\&=\mathrm{73.333\;ft}\\&\approx\mathrm{73\;ft}\end{aligned}\)

b) The distance covered by the vehicle at a 15 mph reduction in speed is,

\(\begin{aligned}\Delta s&=\mathrm{\frac{(22^2-66^2)ft^2/s^2}{2\times-16.5\;ft/s^2}}\\&=\mathrm{117.33\;ft}\\&\approx\mathrm{117\;ft}\end{aligned}\)

The required answers are 73 feet and 117 feet.

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Answer:

its 1,0

Step-by-step explanation:

because im 4o3 iq trust me

We want to solve the given system of equations graphically

The estimated solution that we will get is (0, -2)

The given system of equations is:

y = 2x - 2

y = -35x + 1

To solve it graphically, we need to graph both lines on the same coordinate axis, and see where the lines intersect.

The graph can be seen below, there we can see that the lines intersect near the point (0, -2)

Note that this does not coincide with any of the given solutions, which means that one of the two lines must be written incorrectly.

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Answer:

\(\displaystyle m\angle RTU=73^\circ\)

Step-by-step explanation:

Interior Angle of a Circle

An interior angle of a circle is formed at the intersection of two lines that intersect inside a circle.

Lines AC and BD of the figure attached below intersect forming arcs p and q. The measure of the interior angle x  is:

\(\displaystyle x=\frac{p+q}{2}\)

The question includes the drawing of a circle with lines US and RV intersecting at point T. The measure of the interior angle RTU is:

\(\displaystyle m\angle RTU=\frac{68^\circ+78^\circ}{2}\)

\(\displaystyle m\angle RTU=\frac{146^\circ}{2}\)

\(\boxed{\displaystyle m\angle RTU=73^\circ}\)

The term that refers to "All of the brands that a consumer would consider for the solution of a particular problem" is known as an evoked set. A consumer often recognizes some brands before starting a search for information and forming attitudes.

These brands constitute a consumer's evoked set or consideration set.A consumer's evoked set includes all of the brands that come to mind during a specific problem-solving session. Consumers establish their evoked set as a result of previous interactions with the company or its products. A consumer's evoked set represents a small subset of the available brands that a customer is aware of.

A consumer's evoked set includes all of the brands that come to mind during a specific problem-solving session. Consumers establish their evoked set as a result of previous interactions with the company or its products.A consumer's evoked set is determined by their previous experiences and is usually quite small. Consumers don't typically consider every possible option when trying to solve a problem. Instead, they limit their search to a few brands they know and trust.

Companies try to position themselves in a way that will ensure that their brand is included in the consumer's evoked set. A successful marketing strategy is one that ensures that a company's brand is at the forefront of the consumer's mind when trying to solve a particular problem.

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Answer:

Las cosas que se pueden contar (i.e. Contar y clasificar frutas) así como cosas que se pueden dividir se pueden medir en fracciones (i.e. Cortar un pastel), mientras que las cosas que no se pueden contar, de naturaleza no discreta, así como cosas que no se pueden dividir (i.e. Líquidos, material granulado) se pueden medir en decimales.

Step-by-step explanation:

Las cosas que se pueden contar (i.e. Contar y clasificar frutas) así como cosas que se pueden dividir se pueden medir en fracciones (i.e. Cortar un pastel), mientras que las cosas que no se pueden contar, de naturaleza no discreta, así como cosas que no se pueden dividir (i.e. Líquidos, material granulado) se pueden medir en decimales.

Answer:

C

Step-by-step explanation:

x + 2y = 6

isolate x through

x = 6-2y . . . (iii)

Substitute equation (iii) in equation (i)

7x - y = 7

7(6 - 2y) - y = 7

42 - 14y - y = 7

42 - 15y = 7

Collecting Like terms

-15y = 7 - 42

-15y = -35

-15y = -35

-15 -15

y = 7

3

y =

\(2\frac{1}{3} \)

Substitute y in equation (iii)

x = 6 - 2y

x = 6 - 2 × 7

3

x = 6 - 14

3

x =

\(1\frac{2}{3} \)

Answer:

c is the right answer

Step-by-step explanation:

Answer:

x = 6, -6

Step-by-step explanation:

-x^2 = -36

~Take the square root of both sides

x = ±6

Best of Luck!

The x intercept is x = 2, there is no y - intercept and the x = 2 is the vertical asymptotes, there is no horizontal asymptote.

What are asymptotes?

When one or both of the x or y coordinates tend to infinity, a line is said to be an asymptote of a curve in analytical geometry if the distance between the curve and the line approaches zero. An asymptote of a curve in projective geometry and related contexts is a line that is tangent to the curve at a point at infinity.

Consider, the given function

\(y = -log_3(x-2)-4\)

We have to find asymptotes, x - intercept and y - intercept of the given function.

From graph we can see that the vertical asymptote is x = 2, there is not y - intercept because graph does not crosses the y - axis.

Now to find x - intercept.

Plug y = 0 in the given function.

\(-log_3(x-2)-4=0\\-log_3(x-2)=4\\log_3(x-2)=-4\\(x-2)=3^-^4\\(x-2)=\frac{1}{3^4} \\(x-2)=\frac{1}{81} \\x=\frac{1}{81}+2 \\x = \frac{163}{81}\\ x = 2.01234\\x = 2\)

Hence, the x intercept is x = 2, there is no y - intercept and the x = 2 is the vertical asymptotes, there is no horizontal asymptote.

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\(2x(x - 1) \\ \\ {2x}^{2} - 2x\)

Answer : 0.10712

Step-by-step explanation: Please give brainliest it helps alot

Answer:

(1,-3)

Step-by-step explanation:

Answer:

20= 20

21. 10

22. 1.8

23. 4.4

24. 32

25. 7/9

If a=6, b=12,and c=4, then what does 2ab-c^2 equal?

Answer: 2(6)(12)-4^2 = 128

What is the prime factorization of 100,000?

Answer: 2^5× 5^5

Solve for x. 5.8 = 4x+0.2

Answer: x= 1.4

Find the area of this shape.

Answer: Area = 1.21

What is the lateral surface area of this rectangular prism?

Answer: 208 in^2

5/9 + 1/3 × 1/3 = 0.66666666666 = 2/3

Step-by-step explanation:

The prime factorization of 100,000 is 2^5 × 5^5. Since it has a total of 10 prime factors, 100,000 is a composite number.

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5.8-0.2=4+0.2−0.2

5.6 = 4x

5.6/4  = 4x/4

x= 1.4

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

Square sides are equal..

A=a^2=1.1^2≈1.21

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The lateral surface area of a rectangular prism can be calculated by finding the sum of all the lateral faces of the prism, i.e. the total area excluding the area of the bases. The formula to find the surface area of a rectangular prism is given as, Lateral surface area of a rectangular prism = 2(l + b) h square units.

When a prism has its bases facing up and down, the lateral area is the area of the vertical faces. (For a rectangular prism, any pair of opposite faces can be bases.) The lateral area of a right prism can be calculated by multiplying the perimeter of the base by the height of the prism.

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A = 22000(1 + 0.08/2)^(15*2)

A = 71354,75

The probability of event B is 0.5.

The Probability (P) is the ratio of the number of favorable outcomes to the total number of outcomes. If the events A and B are independent events, then they will not influence each other, and the probability of their occurrence will be calculated separately.

Given: P(A) = 0.4P(A U B) = 0.64

Formula: P(A U B) = P(A) + P(B) - P(A ∩ B)

The Venn diagram for two events A and B is given below:

A Venn diagram is used to show the relative probabilities of events. The rectangle represents the sample space S, which contains all the possible outcomes. A is represented by the circle A, and B is represented by the circle B.

The shaded region represents A U B.

From the Venn diagram, we can see that P(A U B) = P(A) + P(B) - P(A ∩ B) = 0.64

The probability of the intersection of events A and B is given by

P(A ∩ B) = P(A) + P(B) - P(A U B)

P(A ∩ B) = 0.4 + P(B) - 0.64

0.4 + P(B) - 0.64 = P(A ∩ B)

0.4 + P(B) - 0.64 = P(A ∩ B)

P(B) = P(A ∩ B) + 0.64 - 0.4

P(B) = P(A ∩ B) + 0.24

Probability (P) is always between 0 and 1.

P(A) = 0.4 (0 ≤ P(A) ≤ 1)

P(A U B) = 0.64 (0 ≤ P(A U B) ≤ 1)

P(B) = P(A ∩ B) + 0.24 (0 ≤ P(B) ≤ 1)

P(A U B) = P(A) + P(B) - P(A ∩ B)

0.64 = 0.4 + P(B) - P(A ∩ B)

P(B) = P(A ∩ B) + 0.24

Therefore, P(B) = 0.5

Explanation:

We are given the values of P(A) and P(A U B).

We are to find the value of P(B).

The formula P(A U B) = P(A) + P(B) - P(A ∩ B) is used to calculate P(B).

We can obtain the value of P(A ∩ B) by substituting the value of P(A) and P(A U B) in the above formula and simplifying it.

After obtaining the value of P(A ∩ B), we can substitute it in the formula P(B) = P(A ∩ B) + 0.24 to obtain the value of P(B).

Finally, we get P(B) = 0.5. Therefore, the probability of event B is 0.5.

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Answer: 11.3 or 11 if you are to round to nearest whole number.

Step-by-step explanation:

Take the problem step by step.

You know she has the monthly fee and a fee for each gigabyte of data she stores in her house.

Take how much she paid and Subtract the monthly fee from it since it has been a month.

$60.95 - $14.95 = $36

Now take that answer and divide it by the cost of each gigabyte to see how many she used that month.

$65 / $5.75 = 11.30434743, which rounds to 11.3 or 11 if you are to round to nearest whole number.

The value of TN for this problem is given as follows:

B. 30.

A chord of a circle is a straight line segment that connects two points on the circle, that is, it is a line segment whose endpoints are on the circumference of a circle.

When two chords intersect each other, then the products of the measures of the segments of the chords are equal.

Then the value of x is obtained as follows:

8(x + 20) = 12 x 20

x + 20 = 12 x 20/8

x + 20 = 30.

x = 10.

Then the length TN is given as follows:

TN = x + 20

TN = 10 + 20

TN = 30.

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It will take her 49.15 seconds to knit the scarf.

Since in 2004, the world's fastest knitter was able to knit 225 stitches in 3 min, to determine how long would she take to knit a scarf that was 20 cm wide and 1.2 m long, if she used yarn that resulted in 1.6 stitches per centimeter, the following calculation must be performed:

Therefore, it will take her 49.15 seconds to knit the scarf.

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The standard deviation of the number of red balls chosen, x, is 1.2.

In probability theory, the standard deviation is a measure of the amount of variation or dispersion in a set of values. It helps us understand how spread out the values are from the mean. In this scenario, we have an urn containing blue and red balls, and we are randomly selecting 6 balls without replacement. We want to determine the standard deviation of the number of red balls chosen, denoted by x.

To find the standard deviation of x, we need to calculate the variance first. The variance represents the average of the squared differences between each value and the mean. The standard deviation is then the square root of the variance.

Step 1: Finding the probability of selecting a red ball

In the given urn, there are a total of 6 blue balls and 4 red balls. To determine the probability of selecting a red ball, we divide the number of red balls by the total number of balls:

P(red) = 4 / (6 + 4)

          = 0.4

Step 2: Calculating the mean of x

The mean of x, denoted as μx, represents the expected value or average number of red balls chosen. Since the probability of selecting a red ball is 0.4, we can calculate the mean as follows:

μₓ = (Number of trials) × P(red)

   = 6 × 0.4

   = 2.4

Step 3: Determining the variance of x

The variance, denoted as Var(x), is calculated by finding the average of the squared differences between each value of x and the mean:

Var(x) = (Number of trials) × P(red) × P(blue)

          = 6 × 0.4 × 0.6

          = 1.44

Step 4: Finding the standard deviation of x

Finally, the standard deviation, denoted as σx, is the square root of the variance:

σₓ = √Var(x)

    = √1.44

    = 1.2

Therefore, the standard deviation of the number of red balls chosen, x, is 1.2.

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The expression for the total amount of money Kimi made is (20s + $15), and the total amount of money Sandeep made is (30s + $25).

In order to calculate the total amount of money Kimi and Sandeep made, we need to consider the money they made from selling cups of strawberry lemonade and the money they made from tips. Let's represent the cost per cup as 's'.

The expressions that represent how much money Kimi and Sandeep made in all are:

Kimi's earnings from selling cups of lemonade: 20s

Kimi's earnings from tips: $15

Sandeep's earnings from selling cups of lemonade: 30s

Sandeep's earnings from tips: $25

Therefore, the total amount of money Kimi made is:

= (20 × s) + 15

= (20s + $15)

The total amount of money Sandeep made is:

= (30 × s) + 25

= (30s + $25).

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Answer:

deposit

Step-by-step explanation:

deposit = + and it is 250+50

Answer:

23.167168n−9

simplify

n-5+(3n/n(2.718282^2))(n)-4=23.167168n2−9n=23.167168n−9

Answer:

i think 7

Step-by-step explanation: