Help please! What's the answer?

The algebraic expression of 8 minus the product of 9 and r is 8 - 9r

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

8 minus the product of 9 and r

The product of 9 and r can be represented as 9r

So, we have the following representation

8 minus 9r

Minus means -

So, we have

8 - 9r

Hence, the expression is 8 - 9r

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Answer

200 r2

Step-by-step explanation:

Answer:

200 and the remainder is 2

Answer:

The sum of the numbers that Carolyn removes is 5.

Step-by-step explanation:

The provided instruction for the game are:

The value of n is supposed as 6.

And it is also provided that Carolyn removes the integer 2 on her first turn.

The table displaying the outcomes of the game are as follows:

Player          Removed             Remaining

Carolyn                2                    1, 3, 4, 5, 6

 Paul                    1                       3, 4, 5, 6

Carolyn                3                         4, 5, 6

 Paul                    6                           4, 5

Carolyn             None                        4, 5

 Paul                  4, 5                        None

The sum of the numbers that Carolyn removes is:

S = 2 + 3 = 5

Thus, the sum of the numbers that Carolyn removes is 5.

I believe the answer is 8, but I am not sure.

Bob can deduct a total of $2,210 on his Schedule C related to these expenses.

To determine the total amount Bob can deduct on his Schedule C related to these expenses, consider the specific categories that can be deducted. Based on the information provided, categorize the expenses as follows:

Course fees for continuing legal education: $1,400

Airfare and hotel room: $500

Meals provided by the hotel's restaurant: $300

Snacks from the newsstand: $10

To calculate the total amount that Bob can deduct, add up these expenses:

$1,400 + $500 + $300 + $10 = $2,210

Therefore, Bob can deduct a total of $2,210 on his Schedule C related to these expenses.

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Answer:

1 - Paco

2 - Tim

3 - Jenny

4 - Maria

Step-by-step explanation:

Tim will not be in positions 1 or 4, as 1 and 4 represent the ends of the line.  Jenny cannot be in positions 1 or 4, as she is between two people.  Paco will not be in positions 2 or 4, as he is only in an odd numbered position. Maria will be in position 4, as none of the other three can be at position 4.  Paco will be in position 1, as Tim and Jenny cannot be at position 1.  The two positions left are 2 and 3. We'll assume that 1 represents the front of the line. Since Tim has to be in front of Jenny, he will take the position with the lower number, which is 2. This leaves Jenny with 3.

Egbert must deposit $19,602.52 as a lump sum in order to have $40,000 in the fund at the end of 10 years.

To calculate the required lump sum deposit, we can use the formula for compound interest:

A = P\((1+r/n)^{nt}\)

Where:

A = the future value (desired amount in the fund) = $40,000

P = the initial principal (lump sum deposit we need to find)

r = the annual interest rate in decimal form = 7% = 0.07

n = the number of compounding periods per year = 4 (quarterly compounding)

t = the number of years = 10

Plugging in these values, the formula becomes:

$40,000 = P\((1+(0.07/4)^{(4*10)}\)

Simplifying further:

$40,000 = P\((1.0175)^{40}\)

Now we can solve for P by dividing both sides of the equation by

P = $40,000 /\((1.0175)^{40}\)

Using a calculator to evaluate the expression, we find:

P ≈ $19,602.52

Therefore, Egbert must deposit approximately $19,602.52 as a lump sum in order to have $40,000 in the fund at the end of 10 years.

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Answer:

1.5 minutes

Step-by-step explanation:

6 x 1.6 = 9.6

9.6 - 1.5 - 1.3 - 1.5 - 1.7 - 2.1 = 1.5

Answer:

\(y=-4x-13\)

Step-by-step explanation:

\(y-y_1=m(x-x_1)\\y-(-1)=-4(x-(-3))\\y+1=-4(x+3)\\y+1=-4x-12\\y=-4x-13\)

The answer is:

Work/explanation:

I will begin by writing the line's equation in point slope:

\(\rm{y-y_1=m(x-x_1)}\)

Where m = slope, (x₁,y₁) is a point.

Plug in the data:

\(\begin{gathered}\sf{y-y_1=m(x-x_1)}\\\sf{y-(-1)=-4(x-(-3)}\\\sf{y+1=-4(x+3)}\\\sf{y+1=-4x-12}\\\sf{y=-4x-12-1}\\\sf{y=-4x-13}\end{gathered}\)

Hence, the answer is y = -4x - 13.

The numbers are compared with the inequality symbols as follows:

a. 3 > -3.

b. 12 < 24.

c. -12 > -24.

d. 5 = - (-5).

e. 7.2 > 7.

f. -7.2 < 7.

g. -1.5 = -3/2.

h. -4/5 > -5/4.

i. -3/5 = -6/10.

j. -2/3 < 1/3.

The inequality symbols used in this problem are defined as follows:

The observations to some items are given as follows:

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Answer:

see explanation

Step-by-step explanation:

(a)

4(m + 1) - (m - 1) = 20 ← distribute parenthesis

4m + 4 - m + 1 = 20

3m + 5 = 20 ( subtract 5 from both sides )

3m = 15 ( divide both sides by 3 )

m = 5

(b)

(4k - 1)(3k + 6) = 0

equate each factor to zero and solve for k

4k - 1 = 0 ( add 1 to both sides )

4k = 1 ( divide both sides by 4 )

k = \(\frac{1}{4}\)

3k + 6 = 0 ( subtract 6 from both sides )

3k = - 6 ( divide both sides by 3 )

k = - 2

solutions are k = - 2 , k = \(\frac{1}{4}\)

(c)

\(\frac{(2y-1)}{5}\) = 1 \(\frac{3}{4}\) - \(\frac{2-y}{2}\) ← change mixed number to improper fraction

\(\frac{(2y-1)}{5}\) = \(\frac{7}{4}\) - \(\frac{2-y}{2}\)

multiply through by 20 ( the LCM of 5, 4 and 2 ) to clear the fractions

4(2y - 1) = 35 - 10(2 - y) ← distribute parenthesis on both sides

8y - 4 = 35 - 20 + 10y ( subtract 10y from both sides )

- 2y - 4 = 15 ( add 4 to both sides )

- 2y = 19 ( divide both sides by - 2 )

y = - \(\frac{19}{2}\) = - 9.5

Answer:

1/3 is the Probability, don't trust my answer much tho/:

The answer of the question based on the players can fill their water bottles with the sports drink before the cooler is empty is 15 players.

An amount may refer to quantity of something that can be measured, such as amount of substance or amount of  the time.

The cooler can hold 5 1/2 gallons of sports drink, and Coach Walker fills 3/4 of it, which means he fills:

5 1/2 gallons * 3/4 = (5 * 2/2 + 1/2) * 3/4 = 15/4 gallons

We know that 1 gallon equals 8 pints, so we can convert the 15/4 gallons to pints:

15/4 gallons * 8 pints/gallon = 30 pints

Therefore, there are 30 pints of sports drink in the cooler. Assuming each player's water bottle can hold 2 pints of sports drink, we can find how many players can fill their bottles before the cooler is empty by dividing the total amount of sports drink by the amount used by each player:

30 pints / 2 pints/player = 15 players

Therefore, 15 players can fill their water bottles with the sports drink before the cooler is empty.

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Answer:

B. 3188.5 cubic inches.

Step-by-step explanation:

The volume of a cone is calculated using the following formula:

Volume = (1/3) * π * r² * h

Where:

In this problem, we are given that r = 17 inches and S.h = 20 inches.

First we need to find height h.

py using Pythagorous theorem,we get

c²=a²+b²

here c= slight height and a is radius

20²=17²+b²

20²-17²=b²

111=b²

b=√(111)

Plugging these values into the formula, we get:

Volume = ⅓*π* 17² *√(111) = 3188.5 cubic inches

Therefore, the volume of the cone is 3188.5 cubic inches.

Answer:

y = 3. last option is correct answer for 2nd question.

Step-by-step explanation:

f(x) just means y.

horizontal asymptote is y = 'something.'

the graph crosses y = 4, so y = 4 cannot be asymptote.

y = 3 is since the graph never quite touches it.

as for ∞, we see that as x approaches -∞, y almost reaches 3. but not quite. also, as x approaches +∞, y approaches +∞.

so the last option is the correct answer.

Check the picture below.

let's recall that, the arc made from 0 to π is just half a circle or namely a semi-circle, so any fraction of π refers to that arc

\(\cfrac{11\pi }{18}\qquad \textit{really means}\qquad \cfrac{11}{18}\qquad \textit{of that semi-circle}\)

Answer:

32 ft 12 in = 10.0584 m

Step-by-step explanation:

i didnt understand the question so i dont know if right

Answer:  The correct answer is $15.06 is remaining after 71 minutes

Step-by-step explanation:

What we need to find out:

What we know:

If we convert the minutes (m) and remaining credits (c) to (x,y) data sets, they would look like the following:

  x       y

 41    19.26       (41, 19.26)

 57   17.02       (57, 17.02)

Plugging the x, y values into a linear equation, we get:

y - 19.26 = (17.02 - 19.26) / (57 - 41) * (x-41)

Solve the equation for y by adding 19.26 to both sides:

y − 19.26 + 19.26 = −0.14x + 5.74 + 19.26

y = −0.14x + 25

Resulting standard slope-intercept format:

y = −0.14x + 25

Now plug in 71 for the x value (minutes):

y = (-0.14*71) + 25

y = 15.06

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Answer:

-5/4

Step-by-step explanation:

Let \((x_1,y_1)=(-4,4)\) and \((x_2,y_2)=(0,-1)\). The slope of the line would be:

\(\displaystyle \frac{y_2-y_1}{x_2-x_1}=\frac{-1-4}{0-(-4)}=\frac{-5}{4}=-\frac{5}{4}\)

Answer: -5/4

Step-by-step explanation:

To find the slope between two points, you can use the formula:

Slope = (y2 - y1)/(x2 - x1)

Using the points (0, -1) and (-4, 4), we can substitute the coordinates into the formula:

slope = (4 - (-1))/(-4 - 0)

slope = (4 + 1)/(-4)

slope = 5/-4

Therefore, the slope between the two points is -5/4.

Equation for each option to model the value A of the account after x years is 5+ 5/nⁿ and 2ˣ 0.01.

What is an equation?

In arithmetic,an equation may be a formula that expresses the equality of 2 expressions, by connecting them with the sign =.

Main body:

for option 1

initial investment is $5 after 1 year investment is

5+5/2

after 2 year 5+5/2+(5+5/2)/2=5+5/2+5/2²

continuing this way we get the formula

5+ 5/nⁿ

for option 2

after 1 year money becomes 2*0.01

after 2 year money becomes 2²*0.01

after x year money becomes 2ˣ 0.01

Hence the forumla for each option is as provided.

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Answer:

The statement in the question is wrong. The series actually diverges.

Step-by-step explanation:

We compute

\(\lim_{n\to\infty}\frac{n^2}{(n+1)^2}=\lim_{n\to\infty}\left(\frac{n^2}{n^2+2n+1}\cdot\frac{1/n^2}{1/n^2}\right)=\lim_{n\to\infty}\frac1{1+2/n+1/n^2}=\frac1{1+0+0}=1\ne0\)

Therefore, by the series divergence test, the series \(\sum_{n=1}^\infty\frac{n^2}{(n+1)^2}\) diverges.

EDIT: To VectorFundament120, if \((x_n)_{n\in\mathbb N}\) is a sequence, both \(\lim x_n\) and \(\lim_{n\to\infty}x_n\) are common notation for its limit. The former is not wrong but I have switched to the latter if that helps.

Answer:

\(\displaystyle \sum^{\infty}_{n = 1} \frac{n^2}{(n + 1)^2} = \text{div}\)

General Formulas and Concepts:

Calculus

Limits

Series Convergence Tests

Step-by-step explanation:

*Note:

Always apply the nth Term Test as the first test to use for convergence.

Rules:

Step 1: Define

Identify

\(\displaystyle \sum^{\infty}_{n = 1} \frac{n^2}{(n + 1)^2}\)

Step 2: Find Convergence

∴ by the nth Term Test, the series diverges.

Topic: AP Calculus BC (Calculus I + II)

Unit: Convergence Tests

Answer:

3x + n+6

Step-by-step explanation:

The required expression to represent the situation is; 3n+18

According to the question;

Hence, it follows that, the absolute value of the sum of a number and 6 is; |n + 6|.

Hence, 3 times the absolute value is;

Hence, upon evaluation; the expression is; 3n + 18

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The equation of the linear relationship in slope-intercept form is y = 2x - 8. Option A is the correct answer.

To determine the equation of the linear relationship in slope-intercept form based on the table, we need to find the slope and y-intercept.

By observing the table, we can calculate the slope by selecting any two points. Let's choose the points (0, -8) and (4, 0).

Slope (m) = (change in y) / (change in x)

= (0 - (-8)) / (4 - 0)

= 8 / 4

= 2

Now that we have the slope, we can find the y-intercept by substituting the values of one point and the slope into the equation y = mx + b and solving for b.

Using the point (0, -8):

-8 = 2(0) + b

b = -8

Therefore, the equation of the linear relationship in slope-intercept form is: y = 2x - 8. Option A is the correct answer.

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Answer:

The fraction form of the repeating decimal is;

Explanation:

We want to express the repeating decimal 0.2 (2 repeating) as a fraction.

let x represent the fraction;

Then subtract x from 10x;

Then we can divide both sides by the coefficient of x;

Therefore, the fraction form of the repeating decimal is;

Answer:

4000

Step-by-step explanation:

36kg = 36000g

36000g/9 bags = 4000g

The weight of one bag of potatoes is 4 Kg,

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

The total weight of 9 bags of potatoes is 36 kilograms.

Then, weight of one bag of Potato is

= 36/9

= 4 Kg

Thus, One bag weigh 4 Kg.

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Answer:

The y-intercept for the line is -2.5

Step-by-step explanation:

This is because whatever the two coordinates are, whatever coordinate comes 2nd, is always the y-intercept. So, for this one, it would be -2.5. Hope this makes sense, if it doesn't, just comment on it and I can help you more.

Answer: y-intercept:-4

Step-by-step explanation:

Since the line meets the y-axis at -4.