a. Find the first four nonzero terms of the Maclaurin series for the given function. b. Write the power series using summation notation. c. Determine the interval of convergence of the series. ​f(x)equals​(4plusxsquared​)Superscript negative 1 a. The first nonzero term of the Maclaurin series is nothing. The second nonzero term of the Maclaurin series is nothing. The third nonzero term of the Maclaurin series is nothing. The fourth nonzero term of the Maclaurin series is nothing. b. Write the power series using summation notation. Choose the correct answer below. A. Summation from k equals 0 to infinity minus StartFraction 1 Over 4 Superscript k plus 1 EndFraction x Superscript 2 k B. Summation from k equals 0 to infinity StartFraction 1 Over 4 Superscript k plus 1 EndFraction x Superscript k C. Summation from k equals 0 to infinity StartFraction (negative 1 )Superscript k Over 4 Superscript k EndFraction x Superscript k D. Summation from k equals 0 to infinity StartFraction (negative 1 )Superscript k Over (4 )Superscript k plus 1 EndFraction x Superscript 2 k

Answer:

Area = 100 ft^2

Step-by-step explanation:

To calculate the area of this composite shape, you need to find the area of all shapes and add them together.

1. Break the composite shape into different shapes.

Shapes: one rectangle, one square,  and one triangle.

2. Find the area of each of them.

Rectangle

L= 8ft    

W= 10ft

A= L x W

A= 8ft x 10ft

A= 80ft^2

Square

L= 4ft

W=10ft - 6ft = 4ft

A= L x W

A= 4ft x 4ft

A= 16ft^2

Triangle

A= 1/2 x base x height

b= 14ft -8ft-4ft = 2ft

h= 10ft - 6ft =4ft

A= 1/2 (2ft x 4ft)

A= 1/2 (8 ft^2)

A= 4ft^2

3. Add all the areas.

Area = Rectangle Area+ Square Area+ Triangle Area

A = 80ft^2 + 16ft^2 + 4ft^2

A= 100ft^2

Hope this helps!

Answer:

please finish the question then i may be able to help you :3 im right here :>

Step-by-step explanation:

Answer:

50%

Step-by-step explanation:

35 is what percent of 70:

35: 70*100=

(35*100): 70 =

3500: 70 = 50

Now we have: 35 is what percent of 70 = 50

Answer:

0.0668 or 6.68%

Step-by-step explanation:

Variance (V) = 10,000

Standard deviation (σ) = √V= 100

Mean score (μ) = 500

The z-score for any test score X is:

\(z=\frac{X-\mu}{\sigma}\)

For X = 650:

\(z=\frac{650-500}{100}\\z=1.5\)

A z-score of 1.5 is equivalent to the 93.32nd percentile of a normal distribution. Therefore, the probability that he or she will make a score of 650 or more is:

\(P(X\geq 650)=1-P(X\leq 650)\\P(X\geq 650)=1-0.9332\\P(X\geq 650)=0.0668=6.68\%\)

The probability is 0.0668 or 6.68%

The probability that he or she will make a score of 650 or more is 0.0668.

Let X = Scores made on a certain aptitude test by nursing students

X follows normal distribution with mean = 500 and variance of 10,000.

So, standard deviation = \(\sqrt{10000}=100\).

z score of 650 is = \(\frac{\left(650-500\right)}{100}=1.5\).

The probability that he or she will make a score of 650 or more is:

\(P(X\geq 650)\\=P(z\geq 1.5)\\=1-P(z<1.5)\\=1-0.9332\\=0.0668\)

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this one is kinda Hard ill do sum research and help

he two numbers that multiply to -35 and add to get -18 are -5 and 3.

To see why, you can use the factoring method. First, find two numbers that multiply to give you -35. The factors of -35 are -1, 1, -5, and 5. So, the two numbers that multiply to -35 are either -5 and 7 or 5 and -7.

Next, find which pair of numbers adds up to -18. It's clear that 5 and -7 add up to -2, so they don't work. However, if we choose -5 and 3, we get:

-5 + 3 = -2

So, -5 and 3 are the two numbers that multiply to -35 and add to -18.

Answer:

volume of a cylindrical water tank = 70,650cm³

Step-by-step explanation:

volume of cylinder, V = πr²h

where π = 3.14

h = 100cm

r = ?

given is diameter = 30cm

r = d/2 = 30/2 = 15cm

substituting the values in the formula,

V = 3.14 * 15² * 100

= 3.14 * 225 * 100

= 70,650cm³                        

Answer:

How much space it would take up: 706.86 square centimeters of floor space and extend vertically to a height of 100 cm

Volume: 706,500 cm³

Step-by-step explanation:

How much space it would take up:

To determine the space occupied by a cylindrical water tank in a room, we need to consider its dimensions and the area it covers on the floor.

The diameter of the tank is given as 30 cm, which means the radius is half of that, 15 cm.

To calculate the space it occupies on the floor, we need to find the area of the circular base. The formula for the area of a circle is A = πr², where A is the area and r is the radius.

A = π(15 cm)²

A = π(225 cm²)

A ≈ 706.86 cm²

So, the circular base of the tank occupies approximately 706.86 square centimeters of floor space.

The height of the tank is given as 100 cm, which represents the vertical space it occupies in the room.

Therefore, the cylindrical water tank would take up 706.86 square centimeters of floor space and extend vertically to a height of 100 cm in the room.

Volume:

To calculate the volume of a cylindrical water tank, we can use the formula V = πr²h, where V is the volume, r is the radius, and h is the height.

First, we need to find the radius by dividing the diameter by 2:

Radius = 30 cm / 2 = 15 cm

Now we can calculate the volume:

V = π(15 cm)²(100 cm)

V = 3.14 * 225 cm² * 100 cm

V = 706,500 cm³

Therefore, the cylindrical water tank will occupy a volume of 706,500 cm³ or 706.5 liters.

Answer:

Question 1:

A) Parallelogram

B) Right Angled Triangle

Question 2:

Using parallelogram to use properties of parallel lines. To find whether a quadrilateral is parallelogram, first we will write it's coordinates. After writing coordinates, we find slope of each line by slope formula. After this , we compare the slope of equal lines through which we come to know whether they are parallel to eachother or not. After that, if two pairs of lines are parallel, then the given quadrilateral is a parallelogram.

Answer:

I think it's D

Step-by-step explanation:

The equivalent equation is (x - 3)² = 17

The equation given is :

x² - 6x = 8

The equation is a quadratic equation

A quadratic equation is an equation that has one variable that is raised to the power of 2.

it is usually in the form : ax² + bx + c = 0  

a, b,c are known numbers

x is unknown

To determine which option is correct, we are to solve for each of the options to see which is correct

1. (x - 6)² = 44

(x -6)(x -6) = 44

x² - 6x -6x + 36 = 44

x² -12x + 36 = 44

x² - 12 = 8

The first option is not correct

2. (x - 3)² = 14

(x -3)(x -3) = 14

x² - 3x -3x + 9 = 14

x² -6x + 9 = 14

x² - 6x = 5

the second option is not correct

3. (x-6)² = 20

(x -6)(x-6) = 20

x² -6x -6x + 36 = 20

x² -12x = -14

the third option is not correct

4. (x - 3)² = 17

(x-3)(x - 3) = 17

x² - 3x - 3x + 9 = 17

x² - 6x = 8

The fourth option is correct

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Answer:

1108.808511

Step-by-step explanation:

Answer:11108.80

Step-by-step explanation:

Answer: 70%

Step-by-step explanation:

0.7
----- x 100% = 70%

 1

Answer:

70%

Step-by-step explanation:

When turning a decimal into a percent always bring the decimal point two places to the right.

0.7.0.

070%

70%

Answer:

The answer is 16 because

Step-by-step explanation:

3(6 - 8)² + 8÷2 = 3(-2)² + 8÷2

        = 3 * 4 + 8÷2

        = 3 * 4 + 4

        = 12 + 4

        = 16

The principle of "Caring about the development of students' mathematical proficiency" is a vital component of the teaching process.

As a teacher, you must be concerned about your student's growth in mathematics to support their success in the subject. The main points of this principle are as follows:

1. Supporting Students: The teacher must strive to provide effective support for each student's learning, based on their needs.

2. Encouraging Students: The teacher should encourage students to improve their proficiency in mathematics and support their learning by providing suitable opportunities for them.

3. Problem-Solving Skills: Teachers must help students develop problem-solving skills to tackle challenging mathematical problems.

4. Feedback and Assessment: The teacher must provide timely feedback and assessment to support the student's growth in mathematics. This feedback should be constructive and should aid in the student's development of mathematical proficiency.

5. Encouraging Student Reflection: The teacher should encourage students to reflect on their learning experiences to recognize areas where they need more support. The development of a student's mathematical proficiency should be the focus of a teacher's teaching, learning, and assessment practices.

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Answer:

360

Step-by-step explanation:

(1yd = 3ft) (1ft = 12in)

12 x 3 = 36

36 x 10 = 360

The  x and y-intercept of the equation [8x - 9y = 15] are ( 15/8, 0 ) and ( 0, -5/3 ) respectively.

Given the equation;

8x - 9y = 15

First, we find the x-intercepts by simply substituting 0 for y and solve for x.

8x - 9y = 15

8x - 9(0) = 15

8x = 15

Divide both sides by 8

8x/8 = 15/8

x = 15/8

Next, we find the y-intercept by substituting 0 for x and solve for y.

8x - 9y = 15

8(0) - 9y = 15

- 9y = 15

Divide both sides by -9

- 9y/(-9) = 15/(-9)

y = -15/9

y = -5/3

We list the intercepts;

x-intercept: ( 15/8, 0 )

y-intercept: ( 0, -5/3 )

Therefore, the  x and y-intercept of the equation [8x - 9y = 15] are ( 15/8, 0 ) and ( 0, -5/3 ) respectively.

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Answer:

Step-by-step explanation:

Let's denote the amount Azarias pays for rent as "x." According to the given information, Kehinde pays $80 more than twice Azarias' rent. Therefore, we can set up the following equation:

2x + $80 = $1870

To solve for x, we can subtract $80 from both sides of the equation and then divide by 2:

2x = $1870 - $80

2x = $1790

x = $1790 / 2

Evaluating the expression:

x = $895

Therefore, Azarias pays $895 for rent.

Answer:    It's not entirely clear what is being asked for in the given question, as it is not clear what the numbers represent or what operation is being performed. If you could provide more information or context, I would be happy to try and help you.

Step-by-step explanation:

Pretty sure it´s 12.25

61.25 /5=12.5

you can check this by doing 12.5 x 5 ; 15 or 30 and you´ll get the same product in monthly earned

A.  The payback period is 7.2 years. The net present value of the proposed investment is 3720.55.

B. No, the project does not meet the company's cash payback criteria.

C.  Yes, the project does meet the net present value criteria for acceptance.

A. The truck costs $55,440 and generates annual cost savings of $7,700. So the payback period is the cost of the truck divided the expected amount the truck will generate.

                $55,440 / $7,700 = 7.2 years

To solve for the net present value, we say

Net Present Value = ∑ [(Cash inflow in period t) / (1 + \(r^{t}\)] - Initial Investment.

NPV = (($7,700 / (1 + 0.08)¹) = 7 129.63

+ ($7,700 / (1 + 0.08)²) = 6601.51

+ .($7,700 / (1 + 0.08)³ = 6112.51

+ ($7,700 / (1 + 0.08)⁴) = 5659.73

+ ($7,700 / (1 + 0.08)⁵) = 5240.49

+ ($7,700 / (1 + 0.08)⁶) = 4 852.31

+ ($7,700 / (1 + 0.08)⁷) = 4492.88

+($7,700 / (1 + 0.08)⁸)  = 4160.07

+ ($27,600 / (1 + 0.08)⁸)) = 14911.42

- $55,440

We add all these values together and subtract by  $55,440

7 129.63 + 6601.51 + 6112.51 + 5659.73 + 5240.49 +4 852.31 + 4492.88 + 4160.07 + 14911.42 - $55,440

59160.55 - 55,440

NPV = 3720.55

B. The cash payback period of the project is 7.2 years. The company's cash payback criteria state that a project should not be accepted unless it has a payback period that is less than 50% of the asset's estimated useful life, which would be 4 years which is 50% of 8 years. Since 7.2 years is greater than 4 years, the project does not meet the company's cash payback criteria.

C. The positive NPV of $3,720.55 shows that embarking on the prooject will be valuable to the company. This means the project meets the NPV criteria for acceptance.

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The answer to the expression is  (x+3)/(x-1)

You should recall that a quadratic expression is an algebraic expression of the form ax2 + bx + c = 0, where a ≠ 0

The given expressions are

(x² - 3x - 18) / (x²- 7x +6

(x²-6x +3x +19) / (x²-x -6x +6)

This implies that {(x²-6x)+(3x-18)} / {(x²-x) -(6x+6)}

⇒[x(x-6)+3(x-6)] / [x(x-1) - 6(x-1)]

This means that [(x+3)(x-6)] / [(x-6)(x-1)]

Dividing by (x-6) to have

Therefore the value of the expression is (x+3)/(x-1)

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Answer:

D. (8 x 5) - (8 + 7)

Step-by-step explanation:

Evaluate the word problem.

The difference (we will be subtracting.) between the product of 8 and 5 (8 * 5) and the sum of 8 and 7 (8 + 7)?

So set it up.

(8 * 5) - (8 + 7)

This is the correct answer because we are taking the difference of the product of 8 and 5 and the sum of 8 and 7.

Given the trigonometry equation below

If two numbers multiplies themselves and the result is zero, it implies that one of them is zero or both are zero

For instance:

Thus,

For

In radian,

Hence, the solutions in radians of the equation in the interval [0, 2π) is

The line t is tangent to the circle, then measures of arc are mAB = 130 and mDEF = 234.

What is the point of tangency?

If a line is tangent to a circle, it means that the line intersects the circle at exactly one point, called the point of tangency. In this case, the angle formed between the line and the radius of the circle at the point of tangency is a right angle (90 degrees).

To find the measure of the arc formed by the tangent line and the radius, you need to find the measure of the central angle that subtends the arc. This can be done by using the following formula:

Arc measure = 2 * Central angle measure

So,

mAB = 2 * ∠BAt

= 2 * 65

= 130

mDEF = 2 * 117

= 234

Hence, the line t is tangent to the circle, then measures of arc are mAB = 130 and mDEF = 234.

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Answer:

Therefore, this statement is true.

Hoped this helped.

\(BrainiacUser1357\)

The first step to do is to combine 10.8x - 3.5x and that is equal to 7.3x.

The next step is to divide both sides by 7.3 to solve for x.

Therefore, the remaining sheet metal is 7.3 ft² and the cost per square foot of sheet metal is $30.

I believe the answer is b

Answer:

Its D, Trust me

Step-by-step explanation: