3 3/4 x 4

Help me pas

The calculated value of the tenth term, b₁₀ of the sequence is 78732

From the question, we have the following parameters that can be used in our computation:

b₁ = -4

bₙ = 3bₙ₋₁

The above means that

We multiply the current term by 4 to get the next term

So, we have

b₂ = 3 * 4 = 12

b₃ = 3 * 12 = 36

b₄ = 3 * 36 = 108

b₅ = 3 * 108 = 324

b₆ = 3 * 324 = 972

b₇ = 3 * 972 = 2916

b₈ = 3 * 2916 = 8748

b₉ = 3 * 8748 = 26244

b₁₀ = 3 * 26244 = 78732

Hence, the tenth term, b₁₀ of the sequence is 78732

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Answer:

slope -3 and y-intercept -2

Step-by-step explanation:

The slope:

the general linear function is y=mx+n where m is the slope

so slope = -3

y intercept is when x=0

y=-3*0-2

y=-2  

Answer:

0

Step-by-step explanation:

The slope is always 0 on a horizontal line.

a. The estimated cost for the Publinskys' house, considering their self-completed tasks, is $196,518.

b. The estimated cost for the Publinskys' house, using contractors for all tasks, is $239,760.

a. To calculate the estimated cost for the Publinskys' house if they do some of the work themselves, we need to consider the cost percentages for the tasks they will complete.

Based on the provided information, the following tasks will be completed by the Publinskys themselves: plumbing, painting, and interior decoration.

The total cost of these tasks can be calculated as follows:

To calculate the estimated cost, we multiply the total cost of the house (2,100 square feet * $139 per square foot) by the percentage of self-completed tasks:

Estimated cost = 2,100 sq ft * $139 per sq ft * 15% = $41,790 + $29,310 + $23,670 = $94,770

b. To calculate the estimated cost if contractors complete all the tasks, we need to consider the cost percentages for each task as provided. Adding up all the percentages, we get:

Total cost for contractor-completed tasks: 25% + 8% + 3% + 6% + 5% + 17% + 9% + 4% + 5% + 4% + 6% + 4% = 100%

To calculate the estimated cost, we multiply the total cost of the house (2,100 square feet * $139 per square foot) by the percentage of contractor-completed tasks:

Estimated cost = 2,100 sq ft * $139 per sq ft * 100% = $292,590

a. The estimated cost for the Publinskys' house, considering their self-completed tasks, is $196,518.

b. The estimated cost for the Publinskys' house, using contractors for all tasks, is $239,760.

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We have derived the following equations:

(10) Y = 7,000 - 200r - 1,000ε
(11) 10 = r + 5ε
(12) NX = 500 - 500r - 2,500ε
(13) CF = -50,000 + 50,000r + 250,000ε

To solve the given equations for the equilibrium values of C, NX, CF, r, and ε, let's go step by step.

First, we'll substitute equations (2), (3), (4), (5), (6), (7), (8), and (9) into equation (2) to eliminate the variables C, I, G, NX, CF, and T.

Equation (2) becomes:
Y = (1/2)(Y - T) + (2,000 - 100r) + 1,500 + (500 - 500ε)

Next, let's simplify the equation:

Y = (1/2)(Y - 1,000) + 2,000 - 100r + 1,500 + 500 - 500ε

Distribute (1/2) to the terms inside the parentheses:

Y = (1/2)Y - 500 + 2,000 - 100r + 1,500 + 500 - 500ε

Combine like terms:

Y = (1/2)Y + 3,500 - 100r - 500ε

Now, let's isolate Y by subtracting (1/2)Y from both sides:

(1/2)Y = 3,500 - 100r - 500ε

Multiply both sides by 2 to get rid of the fraction:

Y = 7,000 - 200r - 1,000ε

We now have one equation (10) in terms of Y, r, and ε.

Next, let's substitute equation (1) into equation (10) to solve for Y:

5,000 = 7,000 - 200r - 1,000ε

Subtract 7,000 from both sides:

-2,000 = -200r - 1,000ε

Divide both sides by -200:

10 = r + 5ε

This gives us equation (11) in terms of r and ε.

Now, let's substitute equation (11) into equation (5) to solve for NX:

NX = 500 - 500ε

Substitute r + 5ε for ε:

NX = 500 - 500(r + 5ε)

Simplify:

NX = 500 - 500r - 2,500ε

This gives us equation (12) in terms of NX, r, and ε.

Finally, let's substitute equation (12) into equation (6) to solve for CF:

CF = -100r

Substitute 500 - 500r - 2,500ε for NX:

CF = -100(500 - 500r - 2,500ε)

Simplify:

CF = -50,000 + 50,000r + 250,000ε

This gives us equation (13) in terms of CF, r, and ε.

To summarize, we have derived the following equations:

(10) Y = 7,000 - 200r - 1,000ε
(11) 10 = r + 5ε
(12) NX = 500 - 500r - 2,500ε
(13) CF = -50,000 + 50,000r + 250,000ε

These equations represent the equilibrium values of Y, r, ε, NX, and CF in the given open economy.

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Answer:

Option A

Step-by-step explanation:

Correlation DOES NOT MEAN causation. There's weird statistics like positive correlation between the number of vanilla ice cream sold and murders committed in park, but that does not mean selling more vanilla gets more people killed.

Correlation only describe behavior of two things relative to each other. More water does not necessarily mean more grape b/c other factors like soil, climate, manure etc could result in more grapes.

Answer:

$45

Step-by-step explanation:

so where the line intercepts the 2 hours is $45, and to find the .25 hours we take the $20 for working one hour and divide that by four, because .25 is 1/4 of an hour. so 20/4 is five. then you add 5 to 40 and we get $45 for work 2.25 hours. hope that helped

The approximation of the integral using the midpoint rule with n = 4 is M4 = 11688.1654.

To approximate the integral using the midpoint rule with n = 4, follow these steps:

1. Determine the interval width: (b - a) / n, where a = 1 and b = 5.
  (5 - 1) / 4 = 4 / 4 = 1.

2. Find the midpoints of each subinterval:
  1.5, 2.5, 3.5, and 4.5.

3. Evaluate the function at each midpoint:
  f(1.5) = 4(1.5)^5 * e^(-1.5)
  f(2.5) = 4(2.5)^5 * e^(-2.5)
  f(3.5) = 4(3.5)^5 * e^(-3.5)
  f(4.5) = 4(4.5)^5 * e^(-4.5)

4. Calculate the sum of the function values multiplied by the interval width:
  M4 = 1 * [f(1.5) + f(2.5) + f(3.5) + f(4.5)]

5. Compute the numerical values and round the result to four decimal places:
  M4 = 1 * [2617.5089 + 4644.2934 + 3392.7244 + 1034.6387] = 11688.1654

Therefore, the approximation of the integral using the midpoint rule with n = 4 is M4 = 11688.1654.

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the probability that the next 3 cards are also spades is 0.0156.

There are 13 spades in a deck of 52 cards. The probability of each card being a spade is 13/52 or 0.25. The probability that the next 3 cards are also spades is 0.25 x 0.25 x 0.25 = 0.016. Therefore, the probability that the next 3 cards are also spades is 0.0156.

1. Calculate the probability of one card being a spade: 13/52 or 0.25

2. Calculate the probability of the next 3 cards being spades: 0.25 x 0.25 x 0.25 = 0.016

3. Round the answer to four decimal places: 0.0156

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There are 720 different ways can a race with 6 runners be completed.

What is a combination?

The process of combining or the condition of combining. a combination of things; an amalgamation of concepts. a grouping of notes: A chord is a grouping of notes. a grouping of people or entities acting together to impede commerce.

Here, we have

The winner can be chosen from all 6 runners, the second person can be chosen from 5 people, the third - from 4, and so on.

So the total number of possible results can be calculated as:

n = 6×5×4×3×2×1= 6!

= 720

Hence, there are 720 different ways can a race with 6 runners be completed.

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Answer:

18.2=36

2.18+38=98

Step-by-step explanation:

The function that gives the volume v(r) of the cone when the height of 18 cm as a function of time is  \(24 \pi + 48\pi t + 24\pi t^2\).

Given that:

The height of the cone = 18 cm

The radius of the cone's base at a rate of = 2 cm.

The radius r increases at a rate of 2 cm per minute,

At t = 1,

The radius will be r =  2+ 2t

The volume of the cone is given by  \(\dfrac{1}{3} \pi r^3\).

V = \(\dfrac{1}{3} \pi r^3 h\)

 =  \(\dfrac{1}{3} \pi (2+ 2t)^2(18)\)

 =  6\pi (4+ 8t+4t^2)

= \(24 \pi + 48\pi t + 24\pi t^2\)

The function that gives the volume v(r) of the cone as a function of time is  \(24 \pi + 48\pi t + 24\pi t^2\).

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Answer:

Step-by-step explanation:

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Answer:

awnser is b dived by a plus k

There are 220 integer solutions to x1 + x2 + x3 + x4 = 28 with 0 < xi < 12 and  1320 integer solutions to x1 + x2 + x3 + x4 = 28 with –10 < xi < 20.

The problem involves counting the number of integer solutions to the equation x1 + x2 + x3 + x4 = 28 subject to certain constraints.

The first part of the problem asks for the number of solutions with 0 < xi < 12. To solve this, we can use the generating function approach. The generating function for the number of non-negative integer solutions to x1 + x2 + x3 + x4 = 28 is given by:

G(x) = (1 + x + x^2 + ... + x^11)^4

Using the formula for the sum of a finite geometric series, we can simplify this to:

G(x) = (x^12 - 1)^4 / (x - 1)^4

We want the coefficient of x^28 in the expansion of G(x). Using partial fraction decomposition and the binomial theorem, we can write:

G(x) = A/(x-1)^4 + B/(x-1)^3 + C/(x-1)^2 + D/(x-1) + F(x)

where F(x) is a polynomial that doesn't contribute to the coefficient of x^28.

Solving for the coefficients, we get:

A = 715

B = -3640

C = 7315

D = -6188

Thus, the coefficient of x^28 is:

715 - 3640 + 7315 - 6188 = 220

So there are 220 integer solutions to x1 + x2 + x3 + x4 = 28 with 0 < xi < 12.

The second part of the problem asks for the number of solutions with –10 < xi < 20. To solve this, we can use a similar generating function approach. The generating function for the number of integer solutions to x1 + x2 + x3 + x4 = 28 with –10 ≤ xi ≤ 19 is given by:

G(x) = (x^30 - x^9)^4 / (1 - x)^4

We want the coefficient of x^28 in the expansion of G(x). Using partial fraction decomposition and the binomial theorem, we can write:

G(x) = A/(1-x)^4 + B/(1-x)^3 + C/(1-x)^2 + D/(1-x) + F(x)

where F(x) is a polynomial that doesn't contribute to the coefficient of x^28.

Solving for the coefficients, we get:

A = 10626

B = -69072

C = 176358

D = -206256

Thus, the coefficient of x^28 is:

10626 - 69072 + 176358 - 206256 = 1320

So there are 1320 integer solutions to x1 + x2 + x3 + x4 = 28 with –10 < xi < 20.

The third part of the problem asks for the number of solutions with 0 < xi < 6, x2 < 10, x3 = 15, and x4 < 21. To solve this, we can break it down into cases.

Case 1: x1 = 0

In this case, we want the number of solutions to x2 + x3 + x4 = 28 with 0 < xi < 6, x2 < 10, x3 = 15, and x4 < 21. This is equivalent to finding the number of solutions to x2 + x4 = 13 with 0 < x2 < 10 and 0 < x4 < 21. This can be solved using the stars and bars.

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just separate the ramge and domain

Given

Jason can travel 24 3/4 miles in 1/2 hour.

Answer

Distance = 24 3/4 = 99/4 = 24.75 miles

Domain: Real numbers.

Range: Set of output value.

What is the Range and domain of the function?

The domain of the function is the set of all input values, or the set of x-values, for which the function is defined.

The range of the function is the set of all possible output values, or the set of y-values, that the function can produce.

The domain of the function is all real numbers since there are no restrictions on the input x.

The range of the function is the set of output values, which in this case is {5}.

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Answer:

d = 3 and d = 3/4

Step-by-step explanation:

This is a quadratic eqution.  Let's use the quadratic formula to solve it.

If ax^2 + bx + c = 0, then:

      -b ± √(b^2 - 4ac)

x = ---------------------------

                 2a

With a = 4, b = -15 and d = 9, we have:

      -(-15) ± √(225 - 4(4)(9) )        15 ±√81         15 ±9

d = ------------------------------------ = -------------- = -------------- = 24/8 and 6/8

                      2(4)                              8                   8

Simplifying these results, we get d = 3 and d = 3/4

The number of megafilns-per-strord should be smaller than the number of filns-per-strord since a mega is a conversion factor of 10³ and is greater than 1, hence 1 megafiln is greater than 1 filn.

(a) The given units can be converted as follows: 6 glints = 1 filn...

(1)12 grees = 1 zool...

(2)2 grees = 10 twibbs...

(3)5 grees = 1 bic...

(4)Note that the grees are in both the numerator and denominator of the second unit conversion factor (3). Hence we can cancel out the grees by using it twice in the numerator and denominator. Now using the given conversion factors in equation (1), we get:

7 glint/twibb=7 glint/ (10 grees/2 grees)=14 glint/10 grees=14 glint/ (5 grees/12 grees)=16.8 filn/strord

(b) We need to convert the result of part (a) from filn/strord to megafiln/strord.

1 mega = 106

Thus 1 megafiln = 106 filn

16.8 filn/strord = (16.8 filn/strord) x (1 megafiln/106 filn) = 1.68 x 10-5 megafiln/strord

The number of megafilns-per-strord should be smaller than the number of filns-per-strord since a mega is a factor of 10³ and is greater than 1, hence 1 megafiln is greater than 1 filn. Similarly, going 1 foot-per-hour would mean going a smaller number of feet-per-hour than going 1 mile-per-hour since there are 5280 feet in a mile.

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Answer:

the answer is..   34,67,89

Step-by-step explanation:

Answer:

V=L×W×H

Step-by-step explanation:

V=4×3×5

V=60 inches Cubed

The number of sides of the regular figure is 6.

Each interior angle of a regular polygon is expressed as:

Interior angle = (( n - 2) × 180°) ÷ n

Where n is the number of sides of the polygon.

Given that:

One interior angle = 120 degrees

Number of sides n = ?

Plug the given value into the above formula and solve for number of sides n:

Interior angle = (( n - 2) × 180°) ÷ n

120° = (( n - 2) × 180°) ÷ n

Cross multiply:

120n° = ( n - 2 ) × 180°

120n° = 180°n - 360°

180°n - 120n° = 360°

60n° = 360°

n = 360° / 60°

n = 6

Therefore, the number of is 6.

This question is incomplete, the complete question is:

Find the Number of Sides of a Regular Polygon if One Interior Angle is 120 degrees

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Answer:

0.60 & 60%

Step-by-step explanation:

To determine the ratio of the heights of two similar pentagonal prisms with a volume ratio of 27:125, we need to consider the relationship between the volumes and dimensions of similar prisms. Since the prisms are similar, their corresponding linear dimensions (height, width, and length) have the same ratio.

Let's denote the ratio of their heights as h₁ : h₂. The volume ratio can be expressed as:

(Volume of Prism 1) / (Volume of Prism 2) = 27/125

For a prism, the volume can be calculated as:

Volume = Base Area × Height

Since the prisms are similar, the ratio of their base areas is the square of the ratio of their linear dimensions. Therefore, the ratio of their base areas is (h₁/h₂)².

Now, we can express the volume ratio in terms of their heights:

(h₁ × Base Area 1) / (h₂ × Base Area 2) = 27/125

Since the base areas are proportional, we can substitute the base area ratio with the height ratio squared:

(h₁ × (h₁/h₂)²) / h₂ = 27/125

We can cancel out one h₁ from both the numerator and denominator:

(h₁/h₂)² = 27/125

Now, take the square root of both sides to find the height ratio:

h₁/h₂ = √(27/125) = √(3³/5³) = 3/5

So, the ratio of their heights is 3:5.

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Answer:

The answer is 0.01201778632

Step-by-step explanation:

The probability of a student having a quiz grade of 90 or greater is 7.4%.

The two characteristics feature of normality and symmetricity of a dataset makes calculations pertaining to research theory easier. Further, in a case where symmetricity is observed in data, normal distribution is assumed there as an appropriate probability distribution.

The probability of a student having a quiz grade of 90 or greater can be calculated using the standard normal distribution. The formula used to calculate this probability is P(x ≥ 90) = 1 - P(x < 90).

The standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1. To convert our quiz grade to a z-score, we must subtract the mean (80) from our quiz grade (90) and divide by the standard deviation (7). This gives us a z-score of 1.43.

To calculate the probability of a quiz grade of 90 or greater, we subtract the cumulative probability of a z-score of 1.43 from 1. This can be done using a z-table or a calculator. The result of this calculation is 0.0740 or 7.4%.

In conclusion, the probability of a student having a quiz grade of 90 or greater is 7.4%.

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Answer: C, 3 to 2

Step-by-step explanation:

The highest common multiple of the 2 numbers is 9, 27 divided by 9 is 3, 18 divided by 9 is 2.

The calculated volume of the model space is 1657.92 cubic inches

From the question, we have the following parameters that can be used in our computation:

The model space made from:

The volume of the model space is calculated as

Volume = Cone + Cylinder + Hemisphere

Using the volume formulas, we have

Volume = 1/3πr²h + πr²h + 2/3πr³

Substitute the known values in the above equation, so, we have the following representation

Volume = 1/3 * 3.14 * 6² * 8 + 3.14 * 6² * 8 + 2/3 * 3.14 * 6³

Evaluate

Volume = 1657.92

Hence, the volume of the model space is 1657.92 cubic inches

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The correct option regarding how a business might encourage its employees to participate in a retirement investment plan is given as follows:

By offering a large variety of plan options.

Retirement investment plans are plans in a which a part of the employee's salary goes towards savings, which are retirement plans, as the monetary amount is saved, generating investment, and then when the employee retires this amount with interest is deposed from the bank account.

The most well know retirement plan is the 401k, and the company should offer various options to it's employees, as they may have different interests, such as how long it will take for them to retire, or the amount they want to save, depending on their costs of living.

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