how would you find the length of a cube 200^3

Hello!

surface area

= 2(6*2) + 2(4*2) + 4*6

= 2*12 + 2*8 + 24

= 24 + 16 + 24

= 64 square inches

Using a 35-bag sample with a mean of 406.0 grams, a known standard deviation of 25.0 grams, and a level of significance of 0.05, you can perform a one-tailed Z-test to determine whether to reject or fail to reject the null hypothesis.

To test if the potato chip manufacturer's bag filling machine is working correctly at the 411.0-gram setting, we will state the hypotheses using the given terms.

Null Hypothesis (H0): The machine fills bags correctly, with a mean weight of 411.0 grams (µ = 411.0 grams)
Alternative Hypothesis (H1): The machine is underfilling bags, with a mean weight less than 411.0 grams (µ < 411.0 grams)

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Answer:

A rational number because it's negative it can't be natural and cuz it's fraction it can't be whole nor integers.

p.s. thanks to salma1148 for the answer

Answer:

200.96

Step-by-step explanation:

3.14*8*8=200.96

Answer:

50

Step-by-step explanation:

The position vector r describes the path of an object moving in space.

r(t) = 3ti + tj + 1/4 * t ²* k t = 2

(a) The velocity vector, speed, and acceleration vector of the object.

v(t) = 3i + j + (1/2)tk

s(t) = √(10 + (1/4)t²)

a(t) = (1/2)k

(b) The velocity vector and acceleration vector of the object at the given value of t.

v(2) = 3i + j + k

a(2) =(1/2)k

(a) To find the velocity vector, speed, and acceleration vector of the object, we need to differentiate the position vector with respect to time.

Given:

r(t) = 3ti + tj + (1/4)t²k

Taking the derivative with respect to t, we get:

v(t) = dr(t)/dt = d(3ti + tj + (1/4)t²k)/dt

v(t) = 3i + j + (1/2)tk

The velocity vector is v(t) = 3i + j + (1/2)tk.

To find the speed, we calculate the magnitude of the velocity vector:

s(t) = ||v(t)|| = ||3i + j + (1/2)tk||

= √(3²+ 1² + (1/2)²t²)

= √(9 + 1 + (1/4)t²)

= √(10 + (1/4)t²)

The speed of the object is s(t) = √(10 + (1/4)t²).

To find the acceleration vector, we differentiate the velocity vector with respect to time:

a(t) = dv(t)/dt = d(3i + j + (1/2)tk)/dt = 0i + 0j + (1/2)k

The acceleration vector is a(t) = (1/2)k.

(b) To evaluate the velocity vector and acceleration vector at t = 2, we substitute t = 2 into the expressions obtained in part (a):

v(2) = 3i + j + (1/2)(2)k = 3i + j + k

a(2) = (1/2)k

Therefore, v(2) = 3i + j + k and a(2) = (1/2)k.

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\(D=b^2-4ac\\D=3^2-4(6)(-4)\\D=9+96\\D=105\)

Answer:

P(NOT printed page) = 3/38

Step-by-step explanation:

Total pages = 27+8+3=38

Types of pages that satisfy requirement(s)= 3

Therfore, P(NOT printed page) = 3/38

Answer:

AB= 8.77

AC= 8.24

angle a= 70

The perimeter of the figure is the sum of the lengths of all its sides. To calculate it, we need to find the perimeter of the rectangle and the circumference of the quarter circle and then add them together.

To find the perimeter of the rectangle, we need to sum up the lengths of all its sides. Let's assume the length of the rectangle is 'l' and the width is 'w'. Therefore, the perimeter of the rectangle is 2(l + w).

For the quarter circle, we need to find the circumference. The formula for the circumference of a circle is 2πr, where π is approximately 3.14 and 'r' is the radius. In this case, the radius is equal to half of the width of the rectangle. So the circumference of the quarter circle is 0.5πw.

To find the total perimeter, we add the perimeter of the rectangle and the circumference of the quarter circle:

Perimeter = 2(l + w) + 0.5πw

Now, you can substitute the given values for 'l' and 'w' to find the perimeter. Remember to use the approximation 3.14 for π.

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The equation is P(t)= 97(0.875)t, where t is the number of years since 2021 and P(t) is the population at time t.

The animal population's change through time is modelled by the function P(t) = 97(0.875)t, where P(t) is the population at time t and t is the number of years since 2021. The function is based on the assumption that the population declines by 12.5% annually. As a result, starting in 2021, the population will fall by 12.5% year. The initial population in 2021 (97) must be multiplied by 0.875t in order to determine the population at any given year t. You will receive the population at that specific year from this. For instance, 97(0.875)5 = 60.2 will be the population in 2026 if t = 5. Accordingly, the population fell from 97 to 60.2 after five years. We can track and research population changes by using this function to anticipate the animal species' population over time.

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The total sample size that is needed is 402.

Given that,

South :

Proportion, p = 0.189

Alpha = 1 - 95%

        = 0.05

Z Critical value = 1.96

[ UseExcel Function : " =NORMSINV(1-(0.05/2)) " ]

Margin of Error should be less than 0.05

Sample Size Formula is

Sample Size, n = (Z2)*p*(1-p)/(E2)

                      = (1.962)*0.189*(1-0.189)/(0.052)

                      = 235.53

                      = 236

Northeast :

Proportion, p = 0.123

Alpha = 1 - 95%

        = 0.05

Z critical value = 1.96

[ UseExcel Function : " =NORMSINV(1-(0.05/2)) " ]

Margin of Error should be less than 0.05

Sample Size Formula is

Sample Size, n = (Z2)*p*(1-p)/(E2)

                      = (1.962)*0.123*(1-0.123)/(0.052)

                      = 165.75

                      = 166

Therefore, total sample Size needed is 236 + 166 = 402

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The value today of a money machine is $4,712.25. The value of the investment is $31,323.15.

Question 9:

To calculate the present value of the money machine, we can use the formula for the present value of an ordinary annuity:

PV = P * [(1 - (1 + r)^(-n)) / r],

where PV is the present value, P is the annual payment, r is the interest rate per period, and n is the number of periods.

Given:

Annual payment (P) = $1000,

Interest rate per period (r) = 4% = 0.04,

Number of periods (n) = 6 - 2 = 4.

Plugging in the values, we get:

PV = $1000 * [(1 - (1 + 0.04)^(-4)) / 0.04] = $4712.25.

Therefore, the value today of the money machine is $4712.25.

Question 10:

To calculate the present value of the investment, we can use the formula for the present value of a perpetuity:

PV = P / r,

where PV is the present value, P is the periodic payment, and r is the interest rate per period.

Given:

Periodic payment (P) = $500,

Interest rate per period (r) = 12% / 12 = 0.12 / 12 = 0.01.

Plugging in the values, we get:

PV = $500 / 0.01 = $31,500.

Therefore, the value of the investment today is $31,323.15.

In summary, the value today of the money machine that will pay $1000 per year for 6 years is $4712.25, and the value of the investment that will pay $500 per month starting four years from today and continue indefinitely is $31,323.15.

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Answer:

XYZ can be any number, so need the answer choices

Step-by-step explanation:

Answer:

13.60 cm

Step-by-step explanation:

Answer: 8

Step-by-step explanation:

To determine the height of a tree using geometric means, we can set up a proportion based on similar triangles.

Let's assume "h" represents the height of the tree.

We have the following information: Distance from the tree: 8 ft

Height to your eyes: 4 ft

We can set up the proportion: Your height to distance = Tree height to distance

4 ft / 8 ft = h / (8 ft + h)

To solve for "h," we can cross-multiply and then solve the resulting equation:

4 ft * (8 ft + h) = 8 ft * h

4(8 + h) = 8h

32 + 4h = 8h

32 = 4h

Divide both sides of the equation by 4:

8 = h

Therefore, the height of the tree is 8 feet.

Answer:

The nth term of the sequence is:

\(a_n=\frac{-3n+3}{2}+8\)

Step-by-step explanation:

Given the first 5 terms of the arithmetic sequence

8, 13/2, 5, 7/2, and 2

An arithmetic sequence has a constant difference 'd' and is defined by:

\(a_n=a_1+\left(n-1\right)d\)

as the common difference 'd' is:

\(d=a_{n+1}-a_n\)

Computing the differences of all the terms

\(\frac{13}{2}-8=-\frac{3}{2},\:\quad \:5-\frac{13}{2}=-\frac{3}{2},\:\quad \frac{7}{2}-5=-\frac{3}{2},\:\quad \:2-\frac{7}{2}=-\frac{3}{2}\)

\(d=-\frac{3}{2}\)

The first element is:

\(a_1=8\)

Therefore, the nth term is computed by:

\(a_n=a_1+\left(n-1\right)d\)

\(a_n=-\frac{3}{2}\left(n-1\right)+8\)

\(a_n=\frac{-3n+3}{2}+8\)

Therefore, nth term of the sequence is:

\(a_n=\frac{-3n+3}{2}+8\)

When two lines intersect, they form various pairs of angles, including vertical angles, adjacent angles, linear pairs, corresponding angles, alternate interior angles, and alternate exterior angles. The specific pairs formed depend on the orientation and properties of the lines being intersected.

When two lines intersect, they form several pairs of angles. The main types of angles formed by intersecting lines are:

1. Vertical Angles: These angles are opposite each other and have equal measures. For example, if line AB intersects line CD, the angles formed at the intersection point can be labeled as ∠1, ∠2, ∠3, and ∠4. Vertical angles are ∠1 and ∠3, as well as ∠2 and ∠4. They have equal measures.

2. Adjacent Angles: These angles share a common side and a common vertex but do not overlap. The sum of adjacent angles is always 180 degrees. For example, if line AB intersects line CD, the angles formed at the intersection point can be labeled as ∠1, ∠2, ∠3, and ∠4. Adjacent angles are ∠1 and ∠2, as well as ∠3 and ∠4. Their measures add up to 180 degrees.

3. Linear Pair: A linear pair consists of two adjacent angles formed by intersecting lines. These angles are always supplementary, meaning their measures add up to 180 degrees. For example, if line AB intersects line CD, the angles formed at the intersection point can be labeled as ∠1, ∠2, ∠3, and ∠4. A linear pair would be ∠1 and ∠2 or ∠3 and ∠4.

4. Corresponding Angles: These angles are formed on the same side of the intersection, one on each line. Corresponding angles are congruent when the lines being intersected are parallel.

5. Alternate Interior Angles: These angles are formed on the inside of the two intersecting lines and are on opposite sides of the transversal. Alternate interior angles are congruent when the lines being intersected are parallel.

6. Alternate Exterior Angles: These angles are formed on the outside of the two intersecting lines and are on opposite sides of the transversal. Alternate exterior angles are congruent when the lines being intersected are parallel.In summary, when two lines intersect, they form various pairs of angles, including vertical angles, adjacent angles, linear pairs, corresponding angles, alternate interior angles, and alternate exterior angles. The specific pairs formed depend on the orientation and properties of the lines being intersected.

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The nature of formula (Permutations or Combinations) for each scenario is the following:

1) Permutations ; 2) Combination

3) Combination ; 4) Permutations

5)Permutations ; 6)Combination

7) Combination ; 8)Combination 9)Combination ; 10)Combination.

Permutations formula: Permutation is considered an ordered combination. The general formula for this is,

P(n, r) = n! /(n-r)!

Combination formula: It is considered arrangement ways but without ordered combination. The general formula for this is C(n, r) = n!/ (n-r)! r!

Now, we have provide some situations and we have to resolve them.

1) Determining the top three winners ing Science Quiz have to Bee is an example of Permutation as here we just arrange the position for top winners.

2) Forming lines from six given points with no three of which are collinear, is an example of combination because only pair of points is needed.

3) It will be a combination as here we select 3 points to make a triangle user.

4) Four people posing for pictures is an example of Permutation as oder does not matter.

5) Assembling a jigsaw puzzle is an example of Permutations.

6) As here we choose 2 household chores so it is a combination.

7) Selecting 5 basketball players out of 10 team members for the different positions members it is a combination.

8) Choosing three friend for birthday party is combination formula.

9) Picking 6 balls from a basket by 12 balls is combination formula.

10) Forming a committe of 5 members from do people 20 combinations people.

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Complete question:

P- Permutations or C- Combinations.

1. Determining the top three winners in a Science Quiz Bee

2. Forming lines from six given points with no three of which are collinear

3. Forming triangles from 7 given points with no three of which are collinear

4. Four people posing for pictures

5. Assembling a jigsaw puzzle

6. Choosing 2 household chores to do before dinner

7. Selecting 5 basketball players out of 10 team members for the different positions

8. Choosing three of your classmates to attend your party

9. Picking 6 balls from a basket of 12 balls

10. Forming a committee of 5 members from 20 people

a) the exponential regression equation to model the data is:

P(t) ≈ \(3487.1 * e^{0.011t}\)

b) the estimated population of Alberta in 2020 is approximately 4024.4 thousand

To model the population of Alberta using exponential regression, we can use the equation:

P(t) = \(a * e^{bt}\)

where P(t) is the population at time t, a is the initial population, b is the growth rate, and e is the base of the natural logarithm.

a) To find the exponential regression equation, we need to fit the given data to this equation. Let's use the years from 2007 to 2011 as t-values and the corresponding population values as P(t) values.

Using the provided data, we have:

t = [0, 1, 2, 3, 4]

P(t) = [3512.7, 3591.8, 3671.7, 3720.9, 3779.4]

By using a regression calculator or software, we can find the values of a and b that best fit the data. Calculating these values gives:

a ≈ 3487.1 (rounded to the nearest tenth)

b ≈ 0.011 (rounded to the nearest thousandth)

Therefore, the exponential regression equation to model the data is:

P(t) ≈ \(3487.1 * e^{0.011t}\)

b) To estimate the population of Alberta in 2020 (t = 13, considering 2007 as year 0), we substitute t = 13 into the regression equation:

P(13) ≈ \(3487.1 * e^{0.011 * 13}\)

P(13) ≈ \(3487.1 * e^{0.143\)

P(13) ≈ 3487.1 * 1.1531

P(13) ≈ 4024.4

Therefore, the estimated population of Alberta in 2020 is approximately 4024.4 thousand

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Answer:

6/9

Step-by-step explanation:

There is no solution that matches the given condition of a positive improper fraction in lowest terms for A/B.

To find the solution to the equation:

4x/(2x - 1) = 3/(x + 1) + 2

Let's solve the equation step by step:

1. Simplify the right side by combining the fractions:

4x/(2x - 1) = (3 + 2(x + 1))/(x + 1)

4x/(2x - 1) = (3 + 2x + 2)/(x + 1)

4x/(2x - 1) = (2x + 5)/(x + 1)

2. Cross-multiply to eliminate the denominators:

4x(x + 1) = (2x + 5)(2x - 1)

4x^2 + 4x = 4x^2 + 3x - 5

3x - 4x = -5

-x = -5

x = 5

3. Now, we need to check if the solution x = 5 satisfies the original equation:

4(5)/(2(5) - 1) = 3/(5 + 1) + 2

20/9 = 3/6 + 2

20/9 = 1/2 + 2

20/9 = 5/2

Since 20/9 is not equal to 5/2, the solution x = 5 does not satisfy the original equation.

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Based on the given information, the terminal side of angle 0 lies in quadrant III.

To determine the quadrant in which the terminal side of angle 0 lies based on the given information, we can analyze the signs of the trigonometric functions:

(a) Since sine < 0 and cotangent < 0, we can determine the quadrant as follows:

Sine < 0 implies that the y-coordinate (vertical component) of the point on the unit circle corresponding to angle 0 is negative.

Cotangent < 0 implies that the x-coordinate (horizontal component) of the point on the unit circle corresponding to angle 0 is negative.

In quadrant III, both the x and y-coordinates are negative. Therefore, quadrant III is the correct answer in this case.

(b) The information provided in this option is incorrect. "esce" is not a recognized trigonometric function, and "cos > 0" does not provide enough information to determine the quadrant.

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The value of the card in 2002 ​is $12.00. Hence, relationship between x and y is not proportional to each other in this case.

An equation is an expression that shows the relationship between two or more numbers and variables.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The number of years between 1996 to 2002 would be:

= 2002 - 1996

= 6 years

The relationship that is relating the value of the card y in dollars and the number of years x the player has been in retirement can be expressed as an equation in the form of the following;

y = 5.54 + 1.06x

where x = 6 years

y = 5.54 + 1.06(6)

y = 5.54 + 6.36

y = $12.00

The value of the card in 2002 ​is $12.00.

The relationship between x and y is not proportional to each other in this case.

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Answer:

2/3

Step-by-step explanation:

If the denominators (bottom numbers) of the fraction are the same, just add the numerators (top numbers) together.

Answer:  Median

The median is not affected by large or small outliers.

The mean on the other hand is affected by outliers. The more distant the outlier, the more skewed the mean will be.

For example, home prices will have a larger than normal mean because of very rich mansions which are far above the average group. This is why the median home price is a more useful measure of center.

Answer:

y = x + 1

Step-by-step explanation:

I HOPE IM NOT TOO LATE BUT basically first u use the points to find the slope:

\(\frac{3+1}{2+2} = \frac{4}{4} = 1\)

so far then, u have y = x + b  (there's an invisible 1 in front of the x)

next, substitute in the values from one set of coordinates to solve for b. I picked the second one bc positive numbers are easier:

y = x + b

3 = 2 + b

3 - 2 = b

1 = b

put this into your equation, and u get y = x + 1

hope this helps!

Answer:

slope 1/3

y = -2

x=1/3-2

Step-by-step explanation:

slope 1/3

y = -2

x=1/3-2

Answer:

B

Step-by-step explanation:

B has a slope of 7 while A has a slope of 6.

slope of B 14-7/2-1 = 7

A slope is y= mx+b and m is the slope. so 6.