with show work please. a and b.

The approximation of f(1.06) using the first four terms of the binomial series is approximately 1.063816.

The binomial series expansion is a representation of a function as an infinite sum of terms involving powers of a binomial expression. For the function f(x) = 1 + x, the binomial series centered at 0 is given by:

f(x) = 1 + x + x^2 + x^3 + ...

To find the first four nonzero terms, we take powers of x up to x^3. Therefore, the first four nonzero terms of the binomial series for f(x) are 1, x, x^2, and x^3.

To approximate f(1.06) using the first four terms, we substitute x = 0.06 into the series:

f(1.06) ≈ 1 + (0.06) + (0.06)^2 + (0.06)^3

Evaluating the expression, we obtain the approximate value of f(1.06).

f(x) = 1 + x + x^2 + x^3 + ...

Substituting x = 0.06, we have:

f(1.06) ≈ 1 + (0.06) + (0.06)^2 + (0.06)^3

Calculating each term:

f(1.06) ≈ 1 + 0.06 + (0.06)^2 + (0.06)^3
≈ 1 + 0.06 + 0.0036 + 0.000216
≈ 1.063816

Therefore, using the first four terms of the binomial series, the approximation of f(1.06) is approximately 1.063816.

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The expression for output is 6 greater than three times the input is y = 3x + 6.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the output is 6 greater than three times the input the expression can be written as:-

y = 3x + 6

Therefore, y = 3x + 6 is an expression for an output that is six times greater than the input.

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The probability that the įth cup you are given has really salty water can be determined by considering the total number of cups and the number of cups that are really salty.

Given that there are 100 cups labeled from 1 to 100, there is only one cup that is really salty. Therefore, the number of cups that are really salty is 1. The total number of cups is 100. Since you drink the cups in order, starting from cup 1 and proceeding to cup 2, cup 3, and so on, the probability of encountering the really salty cup on the įth cup depends on the position of the really salty cup in the order.

If the really salty cup is labeled with the number į, then the probability of encountering it on the įth cup is 1/100. This is because there is only one cup that is really salty out of the 100 cups in total.

Therefore, the probability that the įth cup you are given has really salty water is 1/100.

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For the given data about about inscribed right circular cone of height 2.5 units and radius 7.5 units then the dimensions of the cylinder which has maximum volume is given by height = 0.83 units and radius 5 units.

As given in the question,

Height of the right circular cone = 2.5 units

And radius of right circular cone = 7.5 units

Let r be the radius of the cylinder and h be the height of the cylinder.

Volume of a cylinder 'V' = π r² h

Cylinder is inscribed in right circular cone

From origin edge cylinder is inscribed at x distance in right circular cone.

r = 7.5 - x

h = (2.5 /7.5) x

  = x/3

V  = π ( 7.5 - x )² ( x / 3)

⇒ V = π ( x² -15x + 56.25 ) (x/3)

⇒ V = (π /3)( x³ - 15x² + 56.25x)

For maximum volume ,

dV/dx = 0

dV/dx = (π/3)( 3x² -30x + 56.25)

(π/3) ≠ 0

⇒ 3x² -30x + 56.25 = 0

⇒ 3 ( x² -10x + 18.75) = 0

3 ≠ 0

⇒ x² -10x + 18.75 = 0

x = [ - (-10) ± √ (-10)² -4(1)(18.75)]/2(1)

⇒ x = [ 10 ± √ 100 -75]/2

⇒ x=  ( 10 ± 5 ) / 2

⇒ x = 7.5 or 2.5

As r = 7.5 -x

Hence x ≠ 7.5

r = 7.5 -2.5

 = 5 units

h = x/3

  = 2.5/3

  = 0.8333 units

Therefore, for the given data about about inscribed right circular cone of height 2.5 units and radius 7.5 units then the dimensions of the cylinder which has maximum volume is given by height = 0.83 units and radius 5 units.

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Answer:

largest angle = 90°

Step-by-step explanation:

let the smallest angle be x then and other 2 angles are 3x and x + 30

the sum of the 3 angles in the triangle sum to 180° , that is

x + 3x + x + 30 = 180

5x + 30 = 180 ( subtract 30 from both sides )

5x = 150 ( divide both sides by 5 )

x = 30

3x = 3 × 30 = 90

x + 30 = 30 + 30 = 60

the 3 angles are 30° , 60° , 90°

with 90° being the largest

a=2 b=15 c=-9

\(( - b + - \sqrt{b ^{2} - 4ac } ) \div 2a\)

+ =0.5584

- =-8.0584

Answer:

38

Step-by-step explanation:

Since the figure shown of ABCD has two pairs of parallel lines, it can be classified as a parallelogram.

Opposite sides are congruent in a parallelogram, so:

AB = CD = 9

BC = AD = 10

To find the perimeter you sum together all the sides. Therefore the perimeter of ABCD would be AB + BC + CD + AD. This is equal to:

9 + 10 + 9 + 10 = 38

Answer:

5/16=x/64

Step-by-step explanation:

the x is 1280 that is the answer

Answer:

20 even though its not an answer option?

Step-by-step explanation:

It should be since 16x4=64   5x4=20

The area of the spill is increasing at a rate of approximately 94.25 square meters per minute at the end of an hour.

Using the formula for the rate of change of the area, we can calculate the rate at which the area is increasing at the end of an hour:

dA/dt = 2πr(dr/dt) = 2π(30 meters)(0.5 meters per minute) ≈ 94.25 square meters per minute

Area is a mathematical concept that refers to the amount of space contained within a two-dimensional shape or surface. It is typically measured in square units, such as square meters or square feet. The formula for calculating the area of a shape depends on its geometry. For example, the area of a rectangle is calculated by multiplying the length and width, while the area of a circle is calculated by multiplying pi (approximately equal to 3.14) by the square of its radius.

Area is used in a variety of fields, including mathematics, physics, engineering, and architecture. In mathematics, the study of area is a fundamental part of geometry, and is used to solve problems related to shapes and their properties. In physics, the concept of area is used to calculate quantities such as force, pressure, and energy.

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Answer:

8 could be the answer of this but im not sure

\(5k - 6k + 2 - 9 = 0 \\ - k - 7 = 0 \\ - k = 7 \\ \frac{ - k}{ - 1} = \frac{7}{ - 1} \\ k = - 7\)

ATTACHED IS THE SOLUTION

t2-t1=20-10=10 t3-t2=30-20=10. t4-t3=40-30=10 therefore it is in proportion

Answer:

5 2/3

Step-by-step explanation:

Step-by-step explanation:

16 matches=100%

what about,12 matches=?

you then cross multiply

12/16×100%=75%

=75%

USCIS Form I-9

USCIS Form I-9:

Under the federal Immigration Reform and Control Act, new employees must present proof that they are legally authorized to work in the United States.

also  your Form I-94 is proof of your work authorization for up to 90 days.

Answer: The origin would be the red dot. The second and third quadrant would be on the left side. Remember that the quadrants are labeled in the shape of a C. Therefore, the top left would be the second and the bottom left would be the third.

Step-by-step explanation:

Answer:

The origin would be the red dot.

Step-by-step explanation:

The guy above me is correct.

Answer:

h = 110°

Step-by-step explanation:

1) A pentagon has 5 sides that sum up to 540°. We know it is 540° because of this formula that is used to find the sum of the interior angles of any polygons. n is the number of sides.

= (n - 2) x 180

= (5 - 2) x 180

= 3 x 180

= 540°

2) We can now set up an equation.

70 + 100 + 120 + 140 + h = 540

430 + h = 540

h = 540 - 430

h = 110°

Answer:

commutative property

Step-by-step explanation:

it is

In the given question, we found that the values of z that satisfy both the equations f(z) and g(z) are z = 4 or z = -2.

To solve this question, we need to equate f(z) and g(z) since we are looking for the value of z that satisfies both equations. We can do that as follows:

f(z) = g(z)

2z² + 2z = 2z + 16

Next, we will bring all the terms to one side of the equation and factorize it to solve for z:

2z² - 2z - 16

= 02(z² - z - 8)

= 0(z - 4)(z + 2)

= 0

Either (z - 4) = 0 or (z + 2) = 0

Solving for each of these, we get z = 4 or z = -2.

Therefore, the values of z that satisfy both equations f(z) and g(z) are z = 4 or z = -2.

To find the values of the variable z which satisfies the equations f(z) and g(z), we equate both the equations and solve for z as we did above.

We can bring all the terms to one side of the equation to get a quadratic expression and solve it using factorization or quadratic formula.

Once we find the roots, we can check if the roots satisfy both the equations. If the roots satisfy both the equations, we say that those are the values of z that satisfy the given equations.

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Answer:

=158

=

1

5

8

Step-by-step explanation:

Answer:

p=158

Step-by-step explanation:

subtract 765 from both sides of the equation which leaves you with

p=923-765

p= 158

Answer:  Choice C)  \(\frac{8+2\sqrt{6x}}{8-3x}\)

======================================

Work Shown:

\(y = \frac{4}{4-\sqrt{6x}}\\\\y = \frac{4(4+\sqrt{6x})}{(4-\sqrt{6x})(4+\sqrt{6x})}\\\\y = \frac{4(4+\sqrt{6x})}{4^2 - (\sqrt{6x})^2}\\\\y = \frac{4(4+\sqrt{6x})}{16-6x}\\\\y = \frac{2*2(4+\sqrt{6x})}{2(8-3x)}\\\\y = \frac{2(4+\sqrt{6x})}{8-3x}\\\\y = \frac{8+2\sqrt{6x}}{8-3x}\\\\\)

This shows why choice C is the answer.

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

Notes:

Answer:

Joshua walks 10km in 1 hour

6x10=60

Step-by-step explanation:

Hope this helps

May i get braineist pls

An exponential decay function that models the situation is Aₙ = (900)(1-0.18)ˣ.

An exponential function's curve is created by a pattern of data called exponential decay, which exhibits higher decreases over time.

The exponential decay function:

Aₙ = A₀(1-r)ˣ, where y = Final amount, A₀ = Initial amount, r = Rate of decay in decimal form, x = Time.

Given:

Joe bought a computer for $900.

The value of the computer depreciates at a rate of 18% each year.

An exponential decay function that models the situation is,

Aₙ = A₀(1-r)ˣ, where y = Final amount, A₀ = Initial amount, r = Rate of decay in decimal form, x = Time.

So,

Aₙ = (900)(1-0.18)ˣ

Therefore, the function is Aₙ = (900)(1-0.18)ˣ

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In stage 2, the magnitude of charge transferred between sphere A and sphere B was [magnitude of charge] in [units].

To determine the magnitude of charge transferred between sphere A and sphere B in stage 2, we need more information about the specific scenario or experiment. In general, the magnitude of charge transferred can be calculated using the formula Q = CV, where Q represents the charge, C is the capacitance, and V is the potential difference. The unit for charge is the coulomb (C).

The specific values for capacitance and potential difference would need to be provided in order to calculate the magnitude of charge transferred. Capacitance is measured in farads (F), and potential difference is measured in volts (V). Once these values are known, the calculation can be performed to determine the magnitude of charge transferred.

Without further information, it is not possible to provide a specific answer in terms of magnitude and units. Please provide additional details regarding the capacitance and potential difference in order to obtain a precise calculation of the charge transferred.

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Sheba's initial horizontal velocity (Vx) is approximately 7.81 m/s, and her initial vertical velocity (Vy) is approximately 4.09 m/s.

To analyze Sheba's motion during dock diving, we can break down her initial velocity into horizontal and vertical components.

Given an initial speed of 8.72 m/s and an angle of 28 degrees, we can calculate the horizontal and vertical velocities using trigonometry.

The horizontal velocity (Vx) can be found using the cosine function:

Vx = V * cos(angle)

Vx = 8.72 m/s * cos(28 degrees)

Vx ≈ 7.81 m/s

The vertical velocity (Vy) can be determined using the sine function:

Vy = V * sin(angle)

Vy = 8.72 m/s * sin(28 degrees)

Vy ≈ 4.09 m/s

So, Sheba's initial horizontal velocity (Vx) is approximately 7.81 m/s, and her initial vertical velocity (Vy) is approximately 4.09 m/s.

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The formula for the area of a trapezoid is (1/2)(b1 + b2)h, where b1 and b2 are the lengths of the bases, and h is the height.

Describe the trapezoid shape.

An open, flat object with four straight sides and one pair of parallel sides is referred to as a trapezoid or trapezium. A trapezium's non-parallel sides are referred to as the legs, while its parallel sides are referred to as the bases.

We know that the area is 104 square centimeters and the height is 8 centimeters, we can use that to find the length of the second base.

104 = (1/2)(b1 + b2) * 8

104 = (1/2)(12+b2) * 8

104 = (1/2)(12+b2) * 8

104 = 6 + 4b2

98 = 4b2

b2 = 98/4 = 24.5 cm

The second base of the trapezoid is 24.5 cm.

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To calculate the percent change in renewable energy investment in the US from 2005 to 2018, you can use the following formula:

Percent change = ((Final value - Initial value) / Initial value) * 100%

In this case, the initial value is $11.4 billion in 2005 and the final value is $46.5 billion in 2018. Plugging these values into the formula, we get:

Percent change = (($46.5 billion - $11.4 billion) / $11.4 billion) * 100%

= ($35.1 billion / $11.4 billion) * 100%

= 3.085 * 100%

= 308.5%

So, the percent change in renewable energy investment in the US from 2005 to 2018 was 308.5%, a substantial increase over the 13-year period.

The statement "Length of 'center' must equal the number of columns of 'x'" is generally false. The length of the 'center' variable does not necessarily need to equal the number of columns of 'x'.

The requirement for the length of 'center' depends on the specific context or purpose of its usage in relation to 'x'. In some cases, 'center' may represent a vector or an array containing the central values or positions of a dataset or matrix. In such cases, the length of 'center' would typically match the dimensionality of the dataset or matrix, which would correspond to the number of rows or columns in 'x'. However, there can be situations where 'center' represents something else entirely, such as a single value or a different set of values unrelated to the dimensions of 'x'. Therefore, it is not a general rule that the length of 'center' must always equal the number of columns of 'x'. The specific requirements and relationships between 'center' and 'x' would depend on the specific context and purpose of their usage.

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Answer:

473

Step-by-step explanation:

typed into calculator.

Answer:

473

Step-by-step explanation:

first u divide 860 by 100

which equals to 8.6

next u multiply 8.6 by 55 to get 473

hope this helps!!