Find the measure of the missing angles.

Answer:

a) 0.091

b) 21.6%

Step-by-step explanation:

a) divide by 100

b) multiply by 100

To help account for variability, the pollster used a simple random sample.

Sampling is the selection of a subset (a statistical sample) of people from within a statistical population in statistics, assurance, and survey procedures. the population's characteristics that were sampled. Obtaining samples that are typical of the population being researched is the objective of statisticians.

In situations where it is not practical to evaluate the complete population, sampling offers insights and is more cost-effective and time-efficient than doing so.

Each observation gives a number for one or more characteristics of certain things or people, including their size, location, color, or weight.

In survey sampling, especially in stratified sampling, ratings can be added to the results to take into consideration the sample design. The practice is guided by conclusions from statistical theory and probability theory.

Since 1000 people are randomly selected , hence we can say that the preference is simple random sample.

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The specification as an absolute value inequality is l w - 18 l ≤ 0.1.

Given:

A furniture maker uses the specification 17.9≤w≤18.1 for the width w in inches of a desk drawer.

m = 17.9 + 18.1 / 2

= 36/2

= 18

t = 18.1 - 17.9

= 0.2/2

= 0.1

l w - 18 l ≤ 0.1

Therefore The specification as an absolute value inequality is l w - 18 l ≤ 0.1.

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Duela Dent's income taxes can be calculated using the given tax rates and her taxable income of $189,000. Her average tax rate and marginal tax rate can also be determined.

To calculate Duela Dent's income taxes, we need to determine the tax amount for each tax bracket that her taxable income falls into.

The taxable income of $189,000 falls into the following tax brackets:

$0-$9,950: Not applicable

$9,950-$40,525: ($40,525 - $9,950) * 12% = $3,546

$40,525-$86,375: ($86,375 - $40,525) * 22% = $9,992

$86,375-$164,925: ($164,925 - $86,375) * 24% = $19,110

$164,925-$209,425: ($189,000 - $164,925) * 32% = $7,744

$209,425-$523,600: Not applicable

$525,600 and above: Not applicable

Summing up the tax amounts for each bracket, Duela Dent's income taxes amount to $40,392.

The average tax rate is calculated by dividing the total tax amount ($40,392) by the taxable income ($189,000) and multiplying by 100:

Average Tax Rate = ($40,392 / $189,000) * 100 ≈ 21.37%

The marginal tax rate refers to the tax rate applied to an additional dollar of income. In this case, Duela Dent's marginal tax rate is 32%, which corresponds to the tax rate of the last bracket her taxable income falls into.

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the parabola is upward or downward depending on the position=

a) So this one is upward

and the vertex is the minimum value of y, (in upward parabola)

so the vertex here, we can see from the graph is: x=2 and y=2

b) (2,2)

the axis of symmetry is the x value of the vertex, so:

c) x=2

the parabola never crosses the x-axis, so

d) x-intercept= none

and the y-intercept is when the line cross over the y axis, so:

y-intercept= 6

(a) An angle between 0° and 360° coterminal with 900° is 180°. (b) An angle between 0 and 27 coterminal with -17π/10 is 13π/10 radians.

(a) An angle between 0° and 360° that is coterminal with 900° is 180°. (b) An angle between 0 and 27 that is coterminal with -17π/10 is 13π/10 radians.

To find an angle that is coterminal with a given angle, we need to add or subtract a full revolution (360°) or a full circle (2π radians) until we obtain an angle within the desired range.

For part (a), we subtract 360° from 900° until we get an angle between 0° and 360°. 900° - 360° = 540°, and 540° - 360° = 180°. Therefore, 180° is coterminal with 900°.

For part (b), we add or subtract multiples of 2π radians until we get an angle between 0 and 27. -17π/10 + 2π = -17π/10 + 20π/10 = 3π/10. Since this is still outside the desired range, we add another 2π: 3π/10 + 2π = 23π/10. Finally, subtracting 2π: 23π/10 - 2π = 3π/10. Therefore, 13π/10 is coterminal with -17π/10 within the specified range.

In summary, an angle between 0° and 360° coterminal with 900° is 180°, and an angle between 0 and 27 coterminal with -17π/10 is 13π/10 radians.

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The limit of the given expression as x approaches 1 is 0.

To evaluate the limit of the given expression as x approaches 1, we can use L'Hopital's rule, which states that if the limit of a quotient of functions is of the form 0/0 or ±∞/±∞, then the limit can be found by taking the derivative of the numerator and denominator and evaluating the new quotient at the same point.

Using L'Hopital's rule on the given expression, we get:

lim x→1 [5x/(x-1) - 5/x] = lim x→1 [(5x^2 - 10x + 5)/(x^2 - x)]

Plugging in x = 1 directly to this expression, we get:

lim x→1 [(5x^2 - 10x + 5)/(x^2 - x)] = (5 - 10 + 5)/(1 - 1) = 0/0

Since the limit is still in an indeterminate form, we can apply L'Hopital's rule once again:

lim x→1 [(5x^2 - 10x + 5)/(x^2 - x)] = lim x→1 [(10x - 10)/(2x - 1)] = 0

Therefore, the limit of the given expression as x approaches 1 is 0.

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Answer:

5% is correct. :)

Step-by-step explanation:

Answer:

4 or 4/1 (both the same thing just with plotting point writing 4/1 is easier for me so I know to go up 4 over 1 :) )

Step-by-step explanation:

Parallel lines have the same slope, so both lines will have the same slope. Use line 1’s points to find the slope with the formula

(y1-y2)/(x1-x2)

(5-1)/(-2-(-3)

4/1=4

We need to know about z-score to solve the problem. The probability that someone spent between 2.5 hrs and 3 hrs studying for a statistics test is 0.2047

A z-score tells you how many standard deviations away an individual data value falls from the mean. The z-score can be calculated from the standard deviation and mean given. We know that time spent is a normally distributed random variable with mean of 2.3 hrs and standard deviation of 0.83 hrs. We need to find the probability that someone spent between 2.5 hrs and 3 hours for a statistics test.

z-score for 2.5=2.5-2.3/0.83=0.24

probability for 2.5 hours=0.5948

z-score for 3=3-2.3/0.83=0.84

probability for 3 hours=0.7995

probability according to z-table=0.7995-0.5948=0.2047

Therefore the probability that someone spent between 2.5 hours and 3 hours is 0.2047.

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Answer:

→f(1) = -6.

→f(n)= f(n−1)(-3).

Step-by-step explanation:

Experts verified answer given in attachment!

Answer:

what is it dear

Step-by-step explanation:

so that i can help you

Answer:

The answer is x = -13/4

Step-by-step explanation:

-13/4 + 2  /  -13/4 +3 = 5

Answer:

yea

Step-by-step explanation:

Based on exponential growth function, the explicit expression that represents the population of Belvedere, which was estimated to be 39,366 in 2020 with an annual increase of 2.8%, in the next 6 years is D. 39,366(1.028)^6.

An exponential growth function is one of the two exponential function, including exponential decay function.

The exponential growth function is given as y = a(1 + r)^t, where:

Population of Belvedere in 2010 = 39,366

Annual rate of increase = 2.8%

The time, t = 6 years

Exponential function expression: 39,366(1.028)^6

Thus, the population of the city in the next 6 years can be represented by  the expression in Option D.

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Por lo tanto, la longitud de la circunferencia con un diámetro de 32 cm sería aproximadamente 100.53 cm.

La fórmula para calcular la longitud de una circunferencia es:

Longitud = π * Diámetro

En este caso, si el diámetro es de 32 cm, podemos calcular la longitud de la siguiente manera:

Longitud = π * 32 cm

El valor de π (pi) es una constante que representa la relación entre la circunferencia de un círculo y su diámetro. Usualmente, se aproxima a 3.14159.

Por lo tanto, la longitud de la circunferencia sería:

Longitud ≈ 3.14159 * 32 cm

Calculando el resultado:

Longitud ≈ 100.53096 cm

Por lo tanto, la longitud de la circunferencia con un diámetro de 32 cm sería aproximadamente 100.53 cm.

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The value of a of the given cube root expression is: a = 1

The cube root of a number is defined as that number which when  multiplied 3 times gives us the original number. Whenever a number (x) is multiplied three times, then we can say that the resultant number is known as the cube of that number.

We are given the expression as:

∛(81x¹⁵y⁹)

Now, expressing this individually gives us the expression:

\(81^{\frac{1}{3} } * x^{\frac{15}{3}} * y^{\frac{9}{3}}\)

= 3¹x⁵y³

Thus, a = 1

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The value of cos(6A3) is 0.538.

We have,

First, we need to find the power series expansion of (2n+1) \(tan^{-1}x:\)

\((2n+1)tan^{-1}x = \sum(-1)^n x^{2n+1} / (2n+1)\)

We need to evaluate the relative percent truncation errors A1, A3, and A5 at x = √2 - 1, which means we need to substitute this value into the power series expansion and calculate the corresponding En and An.

At n = 1, we have:

\((2n+1) tan^{-1}x = 2 tan^-{1} x = 2 \times (1/8) = 1/4\)

\((2n+1)tan^{-1}x\)evaluated at x = √2 - 1 is:

2(√2 - 1) = 2√2 - 2

The power series expansion of \((2n+1) tan^{-1}x\) up to n = 1 is:

\(2 tan^{-1}x = x - x^3/3\)

Substituting x = √2 - 1, we get:

2(√2 - 1) ≈ (√2 - 1) - (√2 - 1)³/3

Simplifying, we get:

2√2 - 2 ≈ (√2 - 1) - (4√2 - 6 + 3) / 3

2√2 - 2 ≈ -5√2/3 + 5/3

So the truncation error, E1, is:

E1 = (2√2 - 2) - (-5√2/3 + 5/3) = 11√2/3 - 7/3

The relative percent truncation error, A1, is:

A1 = |E1 / (2√2 - 2)| * 100 ≈ 0.381%

At n = 3, we have:

\((2n+1) tan^{-1}x = 8 tan^{-1}x = 1\)

\((2n+1) tan^{-1}x\)evaluated at x = √2 - 1 is:

8(√2 - 1) = 8√2 - 8

The power series expansion of \((2n+1) tan^{-1}x\) up to n = 3 is:

\(2 tan^{-1}(x) + 2/3 tan^{-1}(x)^3 = x - x^3/3 + 2/3 x^5/5 - 2/5 x^7/7\)

Substituting x = √2 - 1, we get:

\(8√2 - 8 ≈ (√2 - 1) - (√2 - 1)^3/3 + 2/3 (√2 - 1)^5/5 - 2/5 (√2 - 1)^7/7\)

Simplifying, we get:

8√2 - 8 ≈ -106√2/105 + 26/35

So the truncation error, E3, is:

E3 = (8√2 - 8) - (-106√2/105 + 26/35) = 806√2/105 - 86/35

The relative percent truncation error, A3, is:

A3 = |E3 / (8√2 - 8)| x 100 ≈ 0.378%

At n = 5, we have:

\((2n+1) tan^{-1}(x) = 32 tan^{-1}(x) = 32(1/8) = 4\)

\((2n+1) tan^{-1}(x)\) evaluated at x = √2 - 1 is:

32(√2 - 1) = 32√2 - 32

The power series expansion of 2n+1 tan^-1(x) up to n = 5 is:

\(2 tan^{-1}(x) + 2/3 tan^{-1}(x)^3 + 2/5 tan^{-1}(x)^5\)

\(= x - x^3/3 + 2/3 x^5/5 - 2/5 x^7/7 + 2/7 x^9/9 - 2/9 x^11/11\)

Substituting x = √2 - 1, we get:

\(32\sqrt2 - 32 = (\sqrt2 - 1) - (\sqrt2 - 1)^3/3 + 2/3 (\sqrt2 - 1)^5/5 - 2/5 (\sqrt2 - 1)^7/7 + 2/7 (\sqrt2 - 1)^9/9 - 2/9 (\sqrt2 - 1)^{11}/11\)

Simplifying, we get:

32√2 - 32 ≈ -682√2/693 + 238√2/231 - 44/77

So the truncation error, E5, is:

E5 = (32√2 - 32) - (-682√2/693 + 238√2/231 - 44/77)

= 10852√2/693 - 5044√2/231 + 2508/77

The relative percent truncation error, A5, is:

A5 = |E5 / (32√2 - 32)| x 100 ≈ 0.376%

Finally, we need to calculate cos(6A3):

cos(6A3) = cos(6 x ln(A3)) = cos(ln(A3^6)) = A3^6

Substituting the value of A3, we get:

A3^6 ≈ 1.001149

So, cos(6A3) is approximately 0.538.

Therefore,

The value of cos(6A3) is 0.538.

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Answer:

See below

Step-by-step explanation:

Cost of movie => x

Cost of video game => y

5x + 3y = 24

2x + 12y = 69 or 34.5-6y = x

Substitute

5x + 3y = 24

5(34.5-6y) + 3y = 24

172.5 - 30y + 3y = 24

-27y = -148.5

y = 5.5

34.5-6y = x

34.5-6(5.5) = x

x = 1.5

Answer: The number of doughnuts that Teresa has, y, is 2 times the number of doughnuts Thomas has, x.

Step-by-step explanation: If Teresa had 10 doughnuts, Thomas would have 5, and if Thomas had 10 doughnuts, Teresa would have 20.

Answer:

-8 is the answer

Step-by-step explanation:

BCos any number or letter raised to the power zero is 1

-8*a⁰

-8*1

-8

Answer:

A=3

B=15

Step-by-step explanation:

Since these are equivalent ratios, there is a constant scale factor for each number. As shown in the 8 and 24, we find the scale factor to be 24/8=3. This means that the second ratio's numbers are 3x bigger than the  corresponding ones in the first ratio. A = 9/3 = 3, and B = 5*3=15

Answer:

I think 42 but I'm not so sure

Answer:

any of the factors of a product considered in relation to a specific factor especially : a constant factor of a term as distinguished from a variable. 2a : a number that serves as a measure of some property or characteristic (as of a substance, device, or process) coefficient of expansion of a metal. b : measure

Step-by-step explanation:

Answer:

in math it is this:

a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4xy).

in physics it is this:

a multiplier or factor that measures some property

Step-by-step explanation:

An expression for the measure  β° is 180 - x

The correct answer is an option (d)

We know that the sum of four angles of the quadrilateral is always 360°

In the attached quadrilateral angle A and angle D measures 90 degrees respectively.

The measure of ∠ABC in the figure is x° and the measure of ∠BCD is β°

From above statement for quadrilateral ABCD we have,

⇒ ∠A + ∠B + ∠C + ∠D = 360°

⇒ 90° + x°+ β° + 90° = 360°

⇒ x° + β° = 360° - 180°

⇒ x° + β° = 180°

⇒ β = 180 - x

Therefore, the required expression is β = 180 - x

The correct answer is an option (d)

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Find the complete question below.

Answer:

Your brothers and his friends paid less for the tickets compared to you and your friends. They went Friday night.

Step-by-step explanation:

48/3 = How much per ticket you paid / $16

36/2 = 18 / How much your friend paid for each ticket.

Tbh this question is very confusing, so I won't guarantee an exact correct answer for you. I think there should be more details added

The final equation for the tangent plane to the graph of f at the point (a, b) is z = 2e^a(x - a) - y + 2e^a - 2b. This equation represents the plane that is tangent to the graph of f at the specified point (a, b).

To find the equation for the tangent plane to the graph of the function f(x, y) = 2e^x - y at a given point (x0, y0), we need to calculate the partial derivatives of f with respect to x and y at that point.

The partial derivative of f with respect to x, denoted as ∂f/∂x or fₓ, represents the rate of change of f with respect to x while keeping y constant. Similarly, the partial derivative of f with respect to y, denoted as ∂f/∂y or fᵧ, represents the rate of change of f with respect to y while keeping x constant.

Let's calculate these partial derivatives:

fₓ = d/dx(2e^x - y) = 2e^x

fᵧ = d/dy(2e^x - y) = -1

Now, we have the partial derivatives evaluated at the point (x0, y0). Let's assume our point of interest is (a, b), where a = x0 and b = y0.

At the point (a, b), the equation for the tangent plane is given by:

z - f(a, b) = fₓ(a, b)(x - a) + fᵧ(a, b)(y - b)

Substituting fₓ(a, b) = 2e^a and fᵧ(a, b) = -1, we have:

z - f(a, b) = 2e^a(x - a) - (y - b)

Now, let's substitute f(a, b) = 2e^a - b:

z - (2e^a - b) = 2e^a(x - a) - (y - b)

Rearranging and simplifying:

z = 2e^a(x - a) - (y - b) + 2e^a - b

The final equation for the tangent plane to the graph of f at the point (a, b) is z = 2e^a(x - a) - y + 2e^a - 2b.

This equation represents the plane that is tangent to the graph of f at the specified point (a, b).

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Answer:

yes it is

Step-by-step explanation:

because -3(4x+5)= 27 so as the other

Answer: 245

Step-by-step explanation:

If you multiply 10 degrees by 18 that gets you 180. Add that to 65 and you get your total.

Answer:

temp after 18 minutes: 245

temp after t minutes: 65+10t

In FEM, nodal displacement is calculated using the matrix equation shown below: [K] is the global stiffness matrix, [u] is the displacement (solution) vector, and [F] is the vector of forces.

A function is something that connects an input to an output.

Then, they are interpolated over entire elements using shape functions, which are essentially polynomials of different orders. Although quadratic shape functions, like a quadratic curve, are becoming common, linear shape functions, like a straight line used to approximate a distance between two locations, are the most fundamental. Even higher order shape functions (like cubic) exist, but they are rarely used in practical settings. The calculation of an element's stress uses Gauss Points rather than nodes. You can look up the GP locations for any given kind of element, but for the purposes of this discussion, let's just talk about singles.

Since [K] is the global stiffness matrix, [u] is the displacement (solution) vector, and [F] is the vector of forces, the matrix equation presented below is used to determine nodal displacement.

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Complete question -

Given the tapered bar/axial element below, determine the exact displacement interpolation function and the associated exact shape functions. Show all intermediate steps.