ap calculus problem
no need full detail solution

Ap Calculus Problemno Need Full Detail Solution

Answers

Answer 1

If Limₙ→∞, aₙ ≠ 0 or does not exist, then ∑^∞_{n= 1} (aₙ) diverges.

option C.

What is the solution of the limit function?

The solution of the limit function is calculated as follows;

Limₙ→∞, aₙ ≠ 0 or does not exist, then ∑^∞_{n= 1} (aₙ),

So in this type of function,  we will conclude that the function diverges.

This is known as the divergence test, which states that if the limit of the nth term of a series does not approach zero, then the series diverges.

In other words, we can say that if the terms of the series do not approach zero, the series will not converge.

Thus, based on the given option, the correct answer is diverges.

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Related Questions

A _____________ shape is one that does not have an identifiable name. While still flat, 2-D enclosed areas, these shapes are more "freeform" and might resemble things that we see in nature.

Question 5 options:

Geometric


Organic


Symmetrical


Asymmetrical

Answers

A Organic shape is one that does not have an identifiable name. While still flat, 2-D enclosed areas, these shapes are more "freeform" and might resemble things that we see in nature.

What is Organic shape?

Geometric shapes are well-defined, regular shapes described by mathematical formulas, including circles, squares, triangles, and rectangles. Symmetrical shapes exhibit mirror-like symmetry, like butterflies or snowflakes.

Organic shapes  appear in natural objects like leaves or rocks; they are flowing and curvilinear in form, with varying size, proportions, and contours. Organic shapes are free from strict rules and symmetry, often used in art.

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QUICKLY HELP ME! Trigonometry

Answers

The value of tan (2∅) in the right triangle is  - 960 / 644.

How to find the angles of a right triangle?

A right angle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

Therefore, the triangle is a right angle triangle because it follows the Pythagoras's principle as follows:

c² = a² + b²

where

c = hypotenusea and b are the other legs

Therefore,

15² + 8² = 17²

Let's find ∅ using trigonometric ratios,

tan ∅ = opposite / adjacent

tan ∅ = 15 / 8

Therefore,

tan 2∅ = 2 tan ∅ / 1 - tan² ∅

tan 2∅ = 30 / 8 ÷ 1 - (15 / 8)²

tan 2∅ = 30 / 8 ÷ 1 - 225 / 64

tan 2∅ = 15 / 4 ÷  64 - 225/ 64

tan 2∅ = 15 / 4 ÷ -161 / 64

tan 2∅ = 15 / 4 × 64 / -161

tan 2∅ =  - 960 / 644

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The value of tan (2∅) in the right triangle is  - 960 / 644.

How to find the angles of a right triangle?

A right angle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

Therefore, the triangle is a right angle triangle because it follows the Pythagoras's principle as follows:

c² = a² + b²

where

c = hypotenusea and b are the other legs

Therefore,

15² + 8² = 17²

Let's find ∅ using trigonometric ratios,

tan ∅ = opposite / adjacent

tan ∅ = 15 / 8

Therefore,

tan 2∅ = 2 tan ∅ / 1 - tan² ∅

tan 2∅ = 30 / 8 ÷ 1 - (15 / 8)²

tan 2∅ = 30 / 8 ÷ 1 - 225 / 64

tan 2∅ = 15 / 4 ÷  64 - 225/ 64

tan 2∅ = 15 / 4 ÷ -161 / 64

tan 2∅ = 15 / 4 × 64 / -161

tan 2∅ =  - 960 / 644

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what's the area of a circle with a 74ft diameter use 3.14 for pie

Answers

Area of a circle is given by

[tex]\text{A} = \pi \times r^2[/tex]

We need to know the radius

[tex]\text{r} = \dfrac{\text{d}}{2}[/tex]

[tex]\text{r} = \dfrac{\text{74}}{2}[/tex]

[tex]\text{r} = 37 \ \text{mm}[/tex]

The radius is 37 mm and pi = 3.14

[tex]\text{A} = 3.14 \times (37)^2[/tex]

[tex]\text{A} = \boxed{\bold{4298.66 \ \bold{mm}^2}}[/tex]

Knowledge Check 01
The allowance method of accounting for bad debts has the following advantages over the direct write-off method including: (You may
select more than one answer. Single click the box with the question mark to produce a check mark for a correct answer and
double click the box with the question mark to empty the box for a wrong answer. Any boxes left with a question mark will be
automatically graded as incorrect.)
*Records estimated bad debts expense in the pertod when the related sales are recorded.
Records estimated bad debts expense when the account receivable is determined to be uncollectible.
*Reports accounts receivable on the balance sheet at the estimated amount of cash to be collected
• Reports sales on the income statement at the estimated amount of cash to be collected.

Answers

The correct options are -  A. In the period in which the corresponding sales are recorded, records the expected bad debt expenditure. and C. Reports accounts receivable at the estimated amount of cash to also be collected on the balance sheet.

Explain the benefits of allowance method:

The measure that the company uses to set aside money for its bad debts or uncollectible accounts is known as the allowance method of accounting. This accounting technique reflects the accrual basis.

The key benefit of applying the allowance technique in business is that it enables the company to give interested parties accurate financial reporting. By the allowance approach, the precise account receivable with in balance sheet can be estimated. Also, the management will be able to make decisions about their creditors plus bad debt collection with the use of these trustworthy disclosures. The business can determine the precise number of account heads there in statement of business by conducting a proper examination of its holdings and receivables.

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Correct question:

The allowance method of accounting for bad debts has the following advantages over the direct write-off method including: (You may select more than one answer. ):

A. Records estimated bad debts expense in the period when the related sales are recorded.

B. Records estimated bad debts expense when the account receivable is determined to be uncollectible.

C. Reports accounts receivable on the balance sheet at the estimated amount of cash to be collected

D. Reports sales on the income statement at the estimated amount of cash to be collected

Find the partial fraction decomposition of 15/(x-7)(x+3)

Answers

Answer:

[tex]\frac{15}{(x-7)*(x+3)} = \frac{3/2}{x-7} + \frac{-3/2}{x+3}[/tex]

Step-by-step explanation:

Set up the partial fraction decomp:

[tex]\frac{15}{(x-7)*(x+3)} = \frac{A}{x-7} + \frac{B}{x+3}\\[/tex]

Multiply across:

[tex]15 = (\frac{A}{x-7} + \frac{B}{x+3})*(x+3)*(x-7)\\15 = A(x+3) + B(x-7)\\[/tex]

You can do this two ways from this point, you can plug in values for x to solve for A and B individually or set up a system of equations to find A and B

[tex]15 = Ax + 3A + Bx -7B\\Ax + Bx = 0\\3A - 7B = 15\\[/tex]

From the first equation we can see that A = -B, plugging into the second equation we get that

-10B = 15, so therefore B = -3/2 and because of the first equation A = 3/2 giving us our answer

Sasha has $850 into two accounts. Sasha will deposit $450 at 6% simple. She will deposit the rest at 2% compounded annually. Sasha will not make any withdrawals. How much more money will be in her account at 6% simple than at 2% compounded annually after 2 years.

Answers

Sasha will deposit $450 at 6% simple interest. The formula for calculating the balance of an account with simple interest is given by A = P(1 + rt), where A is the final amount, P is the initial principal balance, r is the annual interest rate (expressed as a decimal), and t is the time in years.

In this case, the initial principal balance P is $450, the annual interest rate r is 6% or 0.06 as a decimal, and the time t is 2 years. Plugging these values into the formula gives us:

A = 450(1 + 0.06 * 2)

Evaluating this expression gives us a final amount of approximately $477 in the account after two years.

Sasha will deposit the rest of her money ($850 - $450 = $400) at 2% compounded annually. The formula for calculating the balance of an account with annual compounding is given by A = P(1 + r/n)^(nt), where A is the final amount, P is the initial principal balance, r is the annual interest rate (expressed as a decimal), n is the number of times the interest is compounded per unit time (per year in this case), and t is the time in years.

In this case, the initial principal balance P is $400, the annual interest rate r is 2% or 0.02 as a decimal, n is 1 since it’s compounded annually, and the time t is 2 years. Plugging these values into the formula gives us:

A = 400(1 + 0.02/1)^(1 * 2)

Evaluating this expression gives us a final amount of approximately $416.16 in the account after two years.

Therefore, there will be approximately $60.84 more money in Sasha’s account at 6% simple interest than at 2% compounded annually after two years.

Please answer this question as quick as possible I’ll give brainliest if it’s correct, thank you

Answers

Answer:

(a) 3581 N

(b) 6.1 kJ

(c) 4.5 kJ

(d) 74.6%

Step-by-step explanation:

(a) To lift the piano straight up, we need to counteract the force of gravity acting on it. The force required can be calculated using the formula F = mg, where F is the force, m is the mass of the piano, and g is the acceleration due to gravity. So, F = (230 kg) x (9.81 m/s^2) = 3581 N.

(b) The work done in lifting the piano is given by the formula W = Fd, where W is the work done, F is the force required to lift the piano, and d is the height to which the piano is lifted. So, W = (3581 N) x (1.7 m) = 6.1 kJ.

(c) Using a ramp reduces the force required to lift the piano. The force required can be calculated using the formula F = mg sinθ, where θ is the angle of inclination of the ramp. We are given that the force required is 300 N and the length of the ramp is 15 m. So, sinθ = F/mg = 300/(230 x 9.81) = 0.1416. Therefore, θ = sin^-1(0.1416) = 8.13 degrees. The work done using the ramp can be calculated using the formula W = Fd, where d is the height to which the piano is lifted. Using trigonometry, we can find that the height to which the piano is lifted is 1.53 m. So, W = (300 N) x (15 m) x sin 8.13 degrees = 4.5 kJ.

(d) The efficiency of the ramp is the ratio of the work output to the work input, expressed as a percentage. The work output is the same as the work done using the ramp, which is 4.5 kJ. The work input is the same as the work done when lifting the piano straight up, which is 6.1 kJ. So, the efficiency of the ramp is (4.5/6.1) x 100% = 74.6%.

6 Harpreet wants to put tiles on the ceiling of a room.
He has this sketch of the ceiling.
11 m
5.5 m
Harpreet knows one pack of ceiling tiles
covers an area of 3.24 m²
costs £34.95
4m
9m
Ceiling tiles can be cut and joined.
Calculate the total cost of the packs of ceiling tiles Harpreet has to buy.
(6)

Answers

area of the ceiling is 11x5.5= 60.5m
60.5/3.24 = about 18.64 and round that to 19 then 19x34.95= 664.05
so the total cost will be 664.05
pls give brainilest

w transaction list
ournal entry worksheet
<
1
2
3
Transactions
Note: Enter debits before credits.
4
Record the entry to receive October's rental bill of $1,200; set it aside.
Pont Even
5
6
General Journal
Debit
C

Answers

The journal entry for the given information is below:

How to solve

Journal entries:    

S.no. Accounts title andd explanations Debit $ Credit $

a. Accounts receivable   2500

Service revennue    2500

b. Cash account   2000

Service revenue    2000

c. Cash account   500

Unearned service revenue   500

d. Accounts receivabale  1500

Cash account    1500

e. Rent Payable   500

Cash account    500

f. Rent expenses   750

Rent payable    750


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using the gcf, what is the factored form of 75

Answers

Answer:

The prime factorization of 75 is:

75 = 3 * 5^2

The greatest common factor (GCF) of the number 75 is 1, since 1 is the highest factor that can be shared by all the prime factors of 75.

Therefore, the factored form of 75 using the GCF is:

75 = 1 * 3 * 5^2

PLEASE MARK BRAILYEST! :D

I want to know what the scale factor is of this

Answers

Answer:

scale factor = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

the side corresponding to WX is EH

the scale factor is the ratio of corresponding sides, image to original, so

scale factor = [tex]\frac{EH}{WX}[/tex] = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex]

The table reports the distribution of pocket money, in bills, of the 6 students in a statistics seminar. Student Hannah Ming Keshaun Tameeka Jose Vaishali Amount, in dollars 2 4 4 5 5 7 For a random sample of size two, find the probability, expressed as a percent rounded to the nearest tenth, that the sample mean will be within $1 of the population mean

Answers

The probability, expressed as a percent rounded to the nearest tenth, that the sample mean will be within $1 of the population mean is 91.5%.

To find the probability that a random sample of size two will have a sample mean within $1 of the population mean, we need to first calculate the population mean and standard deviation.

The population mean is the average of the given values:

(2 + 4 + 4 + 5 + 5 + 7) / 6 = 4.5

The population standard deviation can be calculated using the formula:

σ = [tex]\sqrt{S(x-u)^{2}/N }[/tex]

where S represents the sum of, x is each value, u is the population mean, and N is the population size.

Using this formula, we get:

σ = [tex]\sqrt{(2-4.5)^{2}+ (4-4.5)^{2}+(4-4.5) +(5-4.5)^{2} +(5-4.5)^{2}+ (7-4.5)^{2} /6}[/tex] = 1.5

Now we can find the probability of getting a sample mean within $1 of the population mean using the t-distribution since the population standard deviation is unknown and the sample size is less than 30. Since we are looking for the probability of the sample mean being within $1 of the population mean, we need to find the probability of getting a sample mean between 3.5 and 5.5 dollars.

We can use a t-distribution table or a calculator to find the probability. For a sample size of 2, the degrees of freedom is 1, and using a t-distribution table with a significance level of 0.05, we get a t-value of 12.71.

Therefore, the probability of getting a sample mean between 3.5 and 5.5 dollars is approximately 91.5% (calculated using a t-distribution calculator or the t-distribution table), rounded to the nearest tenth.

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ASAPP Clinton and Stacy decided to travel from their home near Austin, Texas, to Yellowstone National Park in their RV.
- The distance from their home to Yellowstone National Park is 1,701 miles.
- On average the RV gets 10.5 miles per gallon.
- On average the cost of a gallon of gasoline is $3.60.

Based on the average gas mileage of their RV and the average cost of gasoline, how much will Clinton and Stacy spend on gasoline for the round trip to Yellowstone National Park and back home?

A. $1,166.40
B. $2,480.63
C. $583.20
D. $64,297.80

Answers

Answer:

A. $1,166.40

Step-by-step explanation:

Since they have to travel a round trip, the total distance traveled will be 2*1,701 = 3,402 miles.

The total amount of gasoline needed can be found by dividing the total distance by the average gas mileage of the RV:

Gasoline needed = 3,402 miles ÷ 10.5 miles/gallon = 324.57 gallons

The total cost of gasoline can be found by multiplying the gasoline needed by the cost per gallon:

Total cost = 324.57 gallons × $3.60/gallon = $1,169.25

Therefore, Clinton and Stacy will spend approximately $1,169.25 on gasoline for the round trip to Yellowstone National Park and back home.

The closest option to this answer is A. $1,166.40.

Hope this helps!

(2a^2)^3 fill in the blank

Answers

You have to apply the outside exponent to each piece inside the parentheses.

[tex]\begin{aligned}\left(2a^2\right)^3 &=(2)^3\cdot\left(a^2\right)^3\\[0.5em]&=8 a^6\end{aligned}[/tex]

You have to apply the outside exponent to each piece inside the parentheses.

[tex]\begin{aligned}\left(2a^2\right)^3 &=(2)^3\cdot\left(a^2\right)^3\\[0.5em]&=8 a^6\end{aligned}[/tex]

Gina Wilson unit 9 Transitions I need help on the back page​

Answers

Part a: translation: (x,y) ---> (x + 1, y - 8); D'(3, -1), E'(8, -2),  F'(4, -8), G'(-1, -7).

Part b: reflection : in the x axis :D'(2,-7), E'(7,-6), F'(3,0) and G'(-2,-1).

Explain the term "translation":

In geometry, a translation is a transfer that occurs either laterally to the left or right as well as vertically up or down.

It may also consist of a mix of the two. Instead, you should evaluate the coordinates of the important locations in the first and second figures if you need must describe a translation. The number of units that have been moved horizontally, vertically, and in which directions are noted verbally.

Given that:

Parallelogram DEFG withvertices D(2,7), E(7,6), F(3,0) and G(-2,1).

Part a: translation: (x,y) ---> (x + 1, y - 8)

D(2,7) -> D'(2 + 1, 7 - 8) = D'(3, -1)

E(7,6) -> E'(7+ 1,6- 8) = E'(8, -2)

F(3,0) -> F'(3+ 1,0- 8)  = F'(4, -8)

G(-2,1) -> G'(-2+ 1,1- 8) = G'(-1, -7)

Thus, the coordinates of D'E'F'G' -  D'(3, -1), E'(8, -2),  F'(4, -8), G'(-1, -7).

Part b: reflection : in the x axis

vertices D(2,7), E(7,6), F(3,0) and G(-2,1).

value of x will remain same, but y get negative.

(x,y) -- (x, -y)

D'(2,-7), E'(7,-6), F'(3,0) and G'(-2,-1).

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Correct question:

Parallelogram DEFG with vertices D(2,7), E(7,6), F(3,0) and G(-2,1):

a: translation: (x,y) ---> (x + 1, y - 8)

b: reflection : in the x axis

If the area of the map of the triangle is 2 square inches. and on the map itself the whole shaded region 1 inch =1/4 square inches; then what is the area of the shaded region in the picture

A.1/2 square inches
B.1/8 square inches
C.8 square inches
D. some other solution

Answers

The area of the shaded region on the actual triangle is: 2/16 = 1/8 inches²

So the answer is (B) 1/8 inches².

What is area?

The size of a two-dimensional surface or region, such as a floor's surface, a painting's face, or the contours of a piece of land, is measured in terms of area.

It represents the amount of space that is enclosed or occupied by the surface or region under consideration and is typically measured in square units, such as square metres or square feet.

The area of the shaded region on the actual triangle is related to the area of the shaded region on the map by the square of the scale factor. In this case, the scale factor is 1 inch = 1/4 square inches, so the square of the scale factor is:

(1/4)² = 1/16

This means that the area of the shaded region on the actual triangle is 1/16th the area of the shaded region on the map.

The area of the shaded area on the map is 2 inches², matching the area of the triangle on the map, which is 2 inches²

Therefore, the shaded area on the actual triangle has the following area:

2/16 = 1/8 inches².

Therefore, the response is (B) 1/8 inches².

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Jake measured a hotel and made a scale drawing. The scale of the drawing was 8 inches : 7 feet. If the actual length of a room in the hotel is 21 feet, how long is the room in the drawing?

Answers

Jake measured a hotel and made a scale drawing, the length of the room in the drawing is 24 inches.

If the scale of the drawing is 8 inches : 7 feet, this means that for every 8 inches in the drawing, there are 7 feet in real life.

To find out length of the room is in the drawing, we need to set up a proportion:

8 inches / 7 feet = x inches / 21 feet

where x is the length of the room in the drawing.

We can cross-multiply and solve for x:

8 inches × 21 feet = 7 feet × x inches

168 inches = 7 feet × x inches

Dividing both sides by 7, we get:

24 inches = x

Therefore, the length of the room in the drawing is 24 inches.

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The triangular front has a base of how many feet and a height of how many feet? The length of the tent is __ft?

Answers

The Dimensions of the tent are: Base of triangular face (b): 4.46 ft, Height of triangular face (0.5b): 2.23 ft, Length of tent (b + 1): 5.46 ft.

What is a triangular prism?

With two triangular bases and three rectangular sides, a triangular prism is a three-dimensional geometric form. The rectangular faces link the matching edges of the bases, which are connected by the parallel triangular bases. This produces a form with a triangular cross-section along the prism's length. The distance between the vertices of the triangle bases is referred to as the length, whereas the height of the prism is the perpendicular distance between the bases.

Given:

Volume of tent = [tex]63 ft^3[/tex]

Let's assume the base of the triangular face of the tent is "b" feet. The height of the triangular face is half of the base, so it would be "0.5b" feet.

The length of the tent is given to be 1 foot more than the base, so the length would be "b + 1" feet.

Mathematically, the volume of a triangular prism can be given by:

[tex]Volume = (1/2) * base * height * length[/tex]

Substituting the given values and rearranging the formula to solve for "b":

[tex]63 = (1/2) * b * (0.5b) * (b + 1)\\126 = b^2 * (0.5b) * (b + 1)\\0.5b^3 + 0.5b^2 - 126 = 0[/tex]

Solving this cubic equation, we get "b ≈ 4.46" (rounded to two decimal places).

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Willow owns 225 books. Of them, 5/9 are
mysteries. How many of Willow's books
are mysteries?
A) 225
B) > 225
C) < 225
D) 0
(Side note:)please provide explanation

Answers

The quantity of Willow's books that are mysteries would be = 125 books.

How to calculate the quantity of his books that are mysteries?

To calculate the quantity of books that are mysteries the following is carried out.

The total number of books that willow has = 225 books

The total number of books that are mysteries = 5/9 of 225

That is ;

= 5/9 × 225/1

= 1125/9

= 125 books.

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Identify which of the following is a geometric sequence. A. 3, 12, 48, . . . B. 3, 1, , . . . C. 0, 1, 3, 9, . . . D. 3, 6, 12, 21, . . .

Answers

The geometric sequence in the list of options is A. 3, 12, 48, . . .

Identify the geometric sequence.

A geometric sequence is a sequence of numbers in which each term after the first is found by multiplying the previous term by a fixed number.

A. 3, 12, 48, . . . is a geometric sequence because each term is obtained by multiplying the previous term by 4.

B. 3, 1, . . . is not a geometric sequence because there is no fixed ratio between terms.

C. 0, 1, 3, 9, . . . is not a geometric sequence because the ratio between terms is not constant.

D. 3, 6, 12, 21, . . . is not a geometric sequence because the ratio between terms is not constant.

Therefore, the only geometric sequence is A. 3, 12, 48, . . .

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Answer:

3, 12, 48, . . .

Step-by-step explanation:

got it right

In 1932, Giuseppe Momo was commissioned to build the famous Vatican Museum double spiral staircase. Suppose that it takes you one hour to stroll at a constant speed up one spiral of this staircase, which has a radius of 28 feet and a height of 60 feet and makes 6 revolutions.
a)Assuming the spiral staircase is centered about the z-axis, find a vector parametric equation for the helical path you take from the point (28,0,0) to the point (28,0,60) that makes 6 revolutions during the time interval 0≤t≤1.
b)How far did you walk?

Answers

a) The vector parametric equation for the helical path is r(t) = <28cos(12πt), 28sin(12πt), 5t*12>, where t is the parameter and 0 ≤ t ≤ 1.

b) You walked a total distance of 840π feet.

a) To find the vector parametric equation for the helical path, we first note that the spiral staircase makes 6 complete revolutions as we climb from the bottom to the top. This means that as we climb 60 feet, we will make 6 full revolutions around the z-axis. Since the radius of the spiral is 28 feet, we can use the equation for a helix to describe our path.

r(t) = <28cos(θ), 28sin(θ), ht>

where θ is the angle of rotation around the z-axis and h is the height we have climbed. We know that we make 6 full revolutions, or 12π radians, as we climb from the bottom to the top, so we can substitute θ = 12πt. We also know that we climb 60 feet in one hour, so our height function is h(t) = 5t*12.

Thus, our vector parametric equation for the helical path is r(t) = <28cos(12πt), 28sin(12πt), 5t*12>, where t is the parameter and 0 ≤ t ≤ 1.

b) To find the distance we walked, we need to integrate the magnitude of the velocity vector over the interval [0,1].

The velocity vector is the derivative of the position vector:

v(t) = < -336πsin(12πt), 336πcos(12πt), 60>

The magnitude of the velocity vector is:

|v(t)| = sqrt((-336πsin(12πt))^2 + (336πcos(12πt))^2 + 60^2) = 336π

Thus, the distance we walked is:

distance = ∫|v(t)|dt from 0 to 1 = ∫336π dt from 0 to 1 = 336π(1-0) = 336π

Therefore, we walked a total distance of 840π feet.

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The simple interest charged on a 2-month loan of $22,000 is $521. Find the simple interest rate. (Round your answer to one decimal place.)

Answers

The simple interest rate is 1.2%.

A homeowner installed and kitchen cabinets and countertops for $4,500.00. He paid 15% down and financed the balance with 24-month fixed installment loan with an APR of 7.0%. Determine the total final charge and monthly payment for the loan.

Answers

Answer:

4,500.00 rupees

Step-by-step explanation:

Xzavier stops by Sweet Treats after school to get a birthday surprise for his mom. He has $11. The table shows the prices of his mom's favorite treats.

Sweet Treats
Candy Price per Pound
Chocolate-covered Cashews $13.88
Chocolate-Peanut Butter Cups $11.46
Chocolate-Caramel Bites $9.62
Gourmet Gummy Bears $8.24

After looking at the prices, Xzavier decides to get two different one-half pound bags of candy for his mom. Do not consider tax. If Xzavier spends the greatest amount possible for two different one-half pound bags of candy, which two candies did he buy?

A. chocolate-covered cashews and chocolate-caramel bites
B. chocolate-peanut butter cups and chocolate-caramel bites
C. gourmet gummy bears and chocolate-caramel bites
D. chocolate-peanut butter cups and gourmet gummy bears

Answers

Option B is the correct answer: chocolate-peanut butter cups and chocolate-caramel bites.

How will Xzavier decide which two candids he buy?

Xzavier should choose the two candies with the highest price per pound to maximize his spending.

The prices per pound are as follows:

$13.88 for chocolate-covered cashews

$11.46 for chocolate-covered peanut butter cups

$9.62 for Chocolate-Caramel Bites

$8.24 for Gourmet Gummy Bears

Chocolate-covered Cashews and Chocolate-Peanut Butter Cups are the two chocolates with the highest per-pound pricing.

As a result, Xzavier purchased a half-pound of Chocolate-covered Cashews and a half-pound of Chocolate-Peanut Butter Cups.

Option B is the correct answer: chocolate-peanut butter cups and chocolate-caramel bites.

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A group consists of six men and seven women. Three people are selected to attend a conference. a. In how many ways can three people be selected from this group of thirteen​? b. In how many ways can three women be selected from the seven ​women? c. Find the probability that the selected group will consist of all women.

Answers

a)There are 286 ways to select any three people from the group of 13.

b)There are 35 ways to select three women from the group of seven women.

c) The probability that the selected group consists of all women is 0.122 or approximately 12.2%

What is probability?

Probability is the measure of the likelihood or chance that an event will occur, expressed as a number between 0 (impossible) and 1 (certain), or as a percentage between 0% and 100%. It is used to quantify uncertainty and make predictions in various fields such as mathematics, statistics, physics, engineering, economics, and social sciences

a. The total number of ways to select three people from a group of 13 is given by the combination formula,

C(13, 3) = 13! / (3! × (13 - 3)!) = 286

Therefore, there are 286 ways to select any three people from the group of 13.

b. The number of ways to select three women from a group of seven women is given by the combination formula,

C(7, 3) = 7! / (3! × (7 - 3)!) = 35

Therefore, there are 35 ways to select three women from the group of seven women.

c. To find the probability that the selected group consists of all women, we need to find the number of ways to select three women from the group of seven women and divide it by the total number of ways to select three people from the group of 13:

P(all women) = C(7, 3) / C(13, 3) = 35 / 286 = 0.122

Therefore, the probability that the selected group consists of all women is 0.122 or approximately 12.2%.

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Please help me solve questions 10, 11, & 12!

Answers

Answer:

Pretty sure it’s A, D, A

Step-by-step explanation:

the odds in favor of an event are give compute the probability of the event enter the probability as a fraction 4 to 9

Answers

The probability of the event is 4/13 when the odds in favor of the event are 4 to 9.

When the odds in favor of an event are given as a ratio of "a to b", the probability of the event can be calculated as:

Probability of the event = a / (a + b)

In this case, the odds in favor of the event are 4 to 9.

Therefore, we have:

a = 4 (the number of favorable outcomes)

b = 9 (the number of unfavorable outcomes)

Substituting these values into the formula, we get:

Probability of the event = 4 / (4 + 9)

Probability of the event = 4 / 13

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Find the slope of the line through these points.
(5,-3) and (-1, 6)

Answers

Answer:

-1.5

Step-by-step explanation:

Remember that the slope is the rise over the run, or: Slope = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex].

[tex]\frac{6 - -3}{-1 - 5} = \frac{9}{-6} = -1.5[/tex]

So, your slope is -1.5.

In a class in which the final course grade depends entirely on the average of four equally weighted 100-point tests, Paul has scored 82 , 88 , and 87 on the first three. What range of scores on the fourth test will give Paul a C for the semester (an average between 70 and 79 , inclusive)? Assume that all test scores have a non-negative value.

Answers

Scores between 23 & 59 will give Paul a C for the semester (an average between 70 and 79).

The sum of the scores on the first three, hundred point tests

= 82 + 88 + 87 = 257.

The total score required in four 100-point tests to get an average score of 70 = 70X4= 280.

The total score required in four 100-point tests to get an average score of 79 = 79X4= 316.

Therefore, the score on the fourth test should be between (280-257) & (316-57) i.e, 23 & 59 to get an average score of 70 & 79.

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What is the narrowest definition of the number -2

Answers

Step-by-step explanation:

The narrowest definition of the number -2 is that it is an integer that is less than zero and has an absolute value of 2. In other words, it is the additive inverse of the number 2, and can be written as "-2 = -1 * 2".

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