How much work have you done if you lift a 5 newton box 1.5 meters off the ground?

(A) n3+10*2n expressed in big-O notation is O(n3).

(B) n2+3log2⁡n expressed in big-O notation is O(n2).

(C) 5nlog2⁡n+2n2 expressed in big-O notation is O(n2).

(D) 1+2+3+…+(n−1)+n can be simplified as 1+2+3+…+n and using the formula for the sum of an arithmetic series, we have n(n+1)/2. Therefore, its big-O notation is O(n2).

(E) The code fragment can be written as:

                               for(int i=0;i< n;i++){for(int j=0;j< n;j++){ans++;}}

This code fragment has two nested loops.

The outer loop executes n times, while the inner loop also executes n times for each iteration of the outer loop.

Therefore, the code fragment has a time complexity of O(n2) in the Worst case.

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The incorrect inventory count at Barry's Bike Shop will have an impact on both the balance sheet and the income statement.

The balance sheet is a financial statement that provides a snapshot of a company's financial position at a specific point in time. Inventory is typically classified as a current asset on the balance sheet. The incorrect inventory count will overstate the value of inventory by $40,960 ($210,011 - $169,051). As a result, the reported total assets on the balance sheet will be inflated by this amount, leading to an inaccurate representation of the company's financial position.

On the income statement, the incorrect inventory count will affect the cost of goods sold (COGS), which is an expense recorded when inventory is sold. COGS is subtracted from revenue to determine gross profit. With an overstated inventory, the COGS will be understated, leading to an inflated gross profit. This, in turn, will result in an overstatement of net income.

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Answer: $6812.3

Step-by-step explanation: Just solve decreasing 15% each year

Here ya go.

Answer in picture

Answer:

35%

Step-by-step explanation:

Total made: (15)(1.80) = £27

\(\frac{27-20}{20} \times 100=35\%\)

The Slope-Intercept form of an equation of the line is:

Where "m" is the slope and "b" is the y-intercept.

Given this line:

You need to solve for "y" in order to write it in Slope-Intercept form:

So you can identify that the slope of that line is:

By definition, the slopes of perpendicular lines are opposite reciprocals. Then, you can determine that the slope of the other line is:

Knowing that it passes through this point:

You can substitute the coordinates into the equation and solve for "b":

Knowing the value of "b" and knowing the slope, you can determine that the equatio of the line in Slope-Intercept for

Answer:

*Most of these, you just have to get the variable by itself. To check, put the answer in for the letter.*

1. b+8=14

Subtract 8 from both sides

b=6

Check: 6+8=14 ——— 14=14

2. 25-t=15

Subtract 25 from both sides

-t = -10 ––Divide both sides by -1

t=10

Check: 25-10=15 ——— 15=15

3. 9p=81

Divide both sides by 9 to get p alone

p=9

Check: 9(9)=81 ——— 81=81

4.  y/7= 2

Multiply both sides by 7 to cancel out the fraction

y=14

Check: 14/7=2 ——— 2=2

5. y+6=10

Subtract 6 from both sides

y=4

Check: 4+6=10 ——— 10=10

6. f-4=9

Add 4 to both sides

f=13

Check: 13-4=9 ——— 9=9

7. 8d=48

Divide both sides by 8 to get d alone

d=6

Check: 8(6)=48 ——— 48=48

8. 10 = r/5

Multiply both sides by 5 to cancel out the fraction

50 = r

Check: 10=50/5 ——— 10=10

9. 15=x/3

Multiply by 3 to cancel out the fraction

45=x

Check: 15=45/3 ——— 15=15

to factor we must recognize the elements in common

the r exist on both terms, so we can divide by r on each term to factor

The equation for the plane tangent to each surface - -10x + 6y + z - 5 = 0

What is Plane Tangent?

a tangent is a line that touches a curve at exactly one point without intersecting it. Similarly, a plane tangent is a plane that touches a surface at only one point without intersecting it further. This concept is commonly used in calculus and differential geometry to study the behavior of curves and surfaces.

We usually use partial derivatives of the equation of the surface to find the equation of the plane tangent to the surface at a point. The normal vector to the surface at that point is obtained by taking the cross product of the partial derivatives evaluated at that point. Then, using the coordinates of the point and the normal vector, we can determine the equation of the plane using the point-normal form or the general form of the plane equation.

It is important to note that the tangent plane equation depends on the specific point on the surface where the tangent plane is desired. Different points on the surface will have different tangent planes associated with them.

To find the equation for the plane tangent to the surface z = f(x, y) at a point (a, b, c), we need to use the partial derivatives of f with respect to x and y at the point (a, b) to find the normal vector to the plane.

Then we can use the point-normal form of the equation of a plane to write the equation.

First, we need to find the partial derivatives of f(x, y) = x^2 + y^3 - 6xy with respect to x and y:

fx = 2x - 6y

fy = 3y^2 - 6x

Then we can evaluate these partial derivatives at the point (1, 2) to get the normal vector:

n = <fx(1, 2), fy(1, 2)> = <2(1) - 6(2), 3(2)^2 - 6(1)> = <-10, 6>

So the equation of the plane tangent to the surface z = f(x, y) = x^2 + y^3 - 6xy at the point (1, 2, 3) is:

-10(x - 1) + 6(y - 2) + (z - 3) = 0

Simplifying, we get:

-10x + 6y + z - 5 = 0

So the equation of the plane tangent to the surface z = x^2 + y^3 - 6xy at the point (1, 2, 3) is -10x + 6y + z - 5 = 0

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False. Program Evaluation Review Technique (PERT)/Critical Path Method (CPM) and Gantt charts are not mutually exclusive techniques. In fact, they are often used together in project management to plan, schedule, and manage complex projects.

PERT/CPM is a network-based project management technique that focuses on identifying and sequencing activities, estimating their durations, and determining the critical path—the sequence of activities that determine the project's overall duration. PERT/CPM helps in analyzing the project timeline, identifying dependencies between tasks, and determining the most efficient way to complete the project.

On the other hand, Gantt charts are visual representations of project schedules that use horizontal bars to represent tasks, their durations, and their interdependencies. Gantt charts provide a graphical overview of the project timeline, allowing project managers and team members to see task durations, milestones, and dependencies at a glance. They also facilitate tracking progress and identifying potential scheduling conflicts.

While PERT/CPM focuses on the critical path and task dependencies, Gantt charts provide a broader view of the project schedule and its progress. Both techniques offer valuable insights and are often used in conjunction to effectively plan and manage projects.

Therefore, PERT/CPM and Gantt charts are complementary tools rather than mutually exclusive techniques in project management.

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Home equity as collateral is  $54,205, they purchased their home 11 years ago for $68,239 and currently have a net market value of $100,000, have made 132 payments, and are eligible for up to 70% of their home equity.

We need to calculate the current value of the home.

To do this, we can use the compound interest formula:

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

Where,

A = the current value of the home

P = the initial purchase price of the home ($66,239)

r = the annual interest rate (9.3%)

n = the number of times interest is compounded per year (12, since there are 12 months in a year)

t = the number of years since the home was purchased (11)

Plugging in the numbers, we get:

⇒ A = $66,239\((1 + 0.093/12)^{(12*11)\)

⇒ A = $154,122.99

So the current value of the home is $154,123.

Here we need to calculate the amount of equity the couple has in their home.

To do this, we can use the following formula:

Equity = Current Home Value - Remaining Mortgage Balance

Since the couple has been making equal monthly payments to amortize the loan over the past 11 years,

We can assume that they have paid off a good portion of the original mortgage.

To calculate the remaining mortgage balance, we can use an online mortgage calculator or consult their mortgage statement.

Let us assume that the remaining mortgage balance is $40,000.

Equity = $154,123 - $40,000

Equity = $114,123

So the couple has $114,123 in equity in their home.

Finally, we can calculate the maximum loan amount they can receive from the loan company:

Max Loan Amount = 70% of Equity

Max Loan Amount = 0.7 x $114,123

Max Loan Amount = $79,886.10

Therefore, the maximum loan amount the couple can receive from the loan company is $79,886.10.

First, let's calculate the remaining mortgage balance after making 132 monthly payments.

To do this, we can use the mortgage amortization formula:

Remaining Mortgage Balance,

= P x [\((1 + r/n)^{(nt)}\) - \((1 + r/n)^m\)] / [\((1 + r/n)^{(nt)\) - 1]

Where,

P = the initial loan amount ($68,239 - 15% down payment = $57,903.15)

r = the annual interest rate (9.3%)

n = the number of times interest is compounded per year (12, since there are 12 months in a year)

t = the number of years in the loan term (30)

m = the number of payments made (132)

Plugging in the numbers, we get:

Remaining Mortgage Balance

= $57,903.15 x [\((1 + 0.093/12)^{(12*30)}\) - \((1 + 0.093/12)^{132\)] / [\((1 + 0.093/12)^{(12*30)\) - 1]

Remaining Mortgage Balance = $22,564.76

So the remaining mortgage balance after making 132 monthly payments is  $22,564.76.

Next, we need to calculate the amount of equity the couple has in their home at this point.

Current Home Value = $100,000

Equity = Current Home Value - Remaining Mortgage Balance

Equity = $100,000 - $22,564.76

Equity = $77,435.24

So the couple has $77,435.24 in equity in their home at this point.

Finally, we can calculate the maximum loan amount they can receive from the loan company:

Max Loan Amount = 70% of Equity

Max Loan Amount = 0.7 x $77,435.24

Max Loan Amount = $54,204.67

Therefore, the maximum loan amount the couple can receive from the loan company is $54,204.67, rounded to the nearest dollar.

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There are 144 combinations of 1 entree, 2 vegetables, and 1 dessert that can be selected from 4 entrees, 6 vegetables, and 6 desserts.

To determine the number of combinations, we multiply the number of options for each category.

For the entree, we have 4 options to choose from.

For the vegetables, we need to select 2 out of 6, which can be done in 6 choose 2 ways.

This is calculated as 6! / (2!(6-2)!), which simplifies to

6! / (2!4!)

Similarly, for the dessert, we have 6 options to choose from.

To calculate 6 choose 2, we can use the formula for combinations:

n choose r = n! / (r!(n-r)!).

Plugging in the values, we have

6! / (2!4!) = (6 × 5 × 4 × 3 × 2 × 1) / [(2 × 1) × (4 × 3 × 2 × 1)] = 15.

Therefore, we have 4 options for the entree, 15 options for the vegetables, and 6 options for the dessert.

Multiplying these numbers together, we get 4 × 15 × 6 = 144.

Therefore, there are 144 possible combinations of 1 entree, 2 vegetables, and 1 dessert, given the options of 4 entrees, 6 vegetables, and 6 desserts.

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｡･:*:･ﾟ★,｡･:*:･ﾟ☆50｡･:*:･ﾟ★,｡･:*:･ﾟ☆

༶•┈┈⛧┈♛To find volume, you use the formula, bxwxh (base x width x hight), which gave me 50! (I also took the test ´◡` )♛┈⛧┈┈•༶

The volume of the sculpture in cubic meters should be considered as the 150 m3.

Since

The area of the base of the sculpture is 15 square meters and it has a height of 10 meters.

So here the volume be like

= 15 (10)

= 150 m3

hence, The volume of the sculpture in cubic meters should be considered as the 150 m3.

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9 chocolate bars cost 11 dollars, then cost of each chocolate is 1.22 dollars.

A division is a process of splitting a specific amount into equal parts.

In division there are three important parts, dividend, divisor, remainder and quotient.

In the given question

9 chocolate bars cost 11 dollars.

Which means we got chocolates for eleven dollars. Now we have to find cost of each chocolate.

11/9=1.22

Hence 1.22 is the cost of each chocolate bar.

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Answer:

The answer is B. 2/3 because y=mx+b mx us always the slope and b is the y intercept

Answer:

The second product is negative.

Step-by-step explanation:

A negative times a positive is a negative.

Answer:

Step-by-step explanation:

4•(-9)•(-3)•(-1)

-36•(-3)•(-1)

108•(-1)

-108

Answer:

Step-by-step explanation:

The time it take riders to pass over the hill and reach ground level is 111.19 seconds .

Given :

the roller coaster's height expressed by the equation below;

h = -0.067t^2 + 7t + 50

where

t is the time in seconds

The driver will hit the ground at the point where h = 0

Substitute

-0.067t^2 + 7t + 50 = 0

Multiply through  by -1

0.067t^2 - 7t +-50 = 0

Factorize :

On factorizing, the positive value of "t" is 111.19 seconds

Hence the time it take riders to pass over the hill and reach ground level is 111.19 seconds

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a) Average velocity = (d(4.5) - d(3)) / (4.5 - 3)

b)  Velocity at t = 2 = d'(2) = -6 * 3.8 sin(6 * 2)

To determine the average velocity for t = [3, 4.5], we need to find the change in displacement divided by the change in time over the given interval.

a) Average velocity for t = [3, 4.5]:

The displacement function is given as d = 3.8 cos(6t). To find the average velocity, we need to calculate the change in displacement over the interval [3, 4.5] and divide it by the change in time.

Let's find the displacement at t = 4.5:

d(4.5) = 3.8 cos(6 * 4.5) ≈ 3.8 cos(27)

Next, let's find the displacement at t = 3:

d(3) = 3.8 cos(6 * 3) ≈ 3.8 cos(18)

Now we can calculate the average velocity:

Average velocity = (d(4.5) - d(3)) / (4.5 - 3)

b) To find the velocity at t = 2, we need to find the derivative of the displacement function with respect to time.

Let's differentiate the displacement function:

d'(t) = -6 * 3.8 sin(6t)

Now we can find the velocity at t = 2:

Velocity at t = 2 = d'(2) = -6 * 3.8 sin(6 * 2)

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The total salary for the month will be $4535

From the information, Alex earns a weekly base salary of $650 as a car salesman. He also earns a 9% commission on his monthly sales after the first $10,000.

If he sold 7 cars whose average price was $4,500 each. The total amount will be:

= $4500 × 7.

= $31500

The commission will be

= 9% × ($31500 × $10000)

= 9% × $21500

= $1935

The total salary for the month will be:

= ($650 × 4) + $1935

= $4535

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Answer:

208.7

Step-by-step explanation:

 510.75

- 302.05

= 208 .70

.

∑ Hey, avsofia10 ⊃

Answer:

208.7

Step-by-step explanation:

Given:

\(510.75-302.05\)

Solve:

\(\mathrm{line\:up\:the\:decimal\:points}\)

\(\frac{\begin{matrix}\:\:&5&1&0&.&7&\textbf{5}\\ -&3&0&2&.&0&\textbf{5}\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&\:\:&\:\:&\:\:&\textb\end{matrix}}\)

\(\mathrm{Subtract\:each\:column\:of\:digits,\:starting\:from\:the\:right\:and\:working\:left}\)

\(\frac{\begin{matrix}\:\:&5&1&0&.&7&\textbf{5}\\ -&3&0&2&.&0&\textbf{5}\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&\:\:&\:\:&\:\:&\textbf{0}\end{matrix}}\)                                                \(\mathrm{[5-5=0]}\)

\(\frac{\begin{matrix}\:\:&5&1&0&.&\textbf{7}&5\\ -&3&0&2&.&\textbf{0}&5\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&\:\:&\:\:&\textbf{7}&0\end{matrix}}\)                                                \(\mathrm{[7-0=7]}\)

\(\mathrm{Place\:the\:decimal\:point}\)

\(\frac{\begin{matrix}\:\:&5&1&0&\textbf{.}&7&5\\ -&3&0&2&\textbf{.}&0&5\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&\:\:&\textbf{.}&7&0\end{matrix}}\)

\(\mathrm{The\:bottom\:number\:is\:larger\:than\:the\:upper\:number \:therefore\:borrow\:a\:digit\:from\:the\:left.}\)

\(\frac{\begin{matrix}\:\:&\:\:&\textbf{0}&10&\:\:&\:\:&\:\:\\ \:\:&5&\textbf{\linethrough{1}}&0&.&7&5\\ -&3&\textbf{0}&2&.&0&5\end{matrix}}{\begin{matrix}\:\:&\:\:&\textbf{\:\:}&\:\:&\:\:&7&0\end{matrix}}\)

\(\frac{\begin{matrix}\:\:&\:\:&0&\textbf{10}&\:\:&\:\:&\:\:\\ \:\:&5&\linethrough{1}&\textbf{\linethrough{0}}&.&7&5\\ -&3&0&\textbf{2}&.&0&5\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&\textbf{8}&.&7&0\end{matrix}}\)                                             \(\mathrm{[10-2=8]}\)

\(\frac{\begin{matrix}\:\:&\:\:&\textbf{0}&10&\:\:&\:\:&\:\:\\ \:\:&5&\textbf{\linethrough{1}}&\linethrough{0}&.&7&5\\ -&3&\textbf{0}&2&.&0&5\end{matrix}}{\begin{matrix}\:\:&\:\:&\textbf{0}&8&.&7&0\end{matrix}}\)                                             \(\mathrm{[0-0=0]}\)

\(\frac{\begin{matrix}\:\:&\textbf{\:\:}&0&10&\:\:&\:\:&\:\:\\ \:\:&\textbf{5}&\linethrough{1}&\linethrough{0}&.&7&5\\ -&\textbf{3}&0&2&.&0&5\end{matrix}}{\begin{matrix}\:\:&\textbf{2}&0&8&.&7&0\end{matrix}}\)                                           \(\mathrm{[5-3=2]}\)

\(=208.7\)

\(\mathrm{Hence, 510.75-302.05=208.7}\)

xcookiex12

8/17/2022

The quadrilateral is a parallelogram because both pairs of opposite sides are parallel and since the product of the slopes of both pairs of adjacent segments is -1, the quadrilateral is a rectangle

Answer:

The guy above is somewhat right.

Hope this helps!

Step-by-step explanation:

The quadrilateral is a rectangle.

Answer:

12

Step-by-step explanation:

The rate the jukebox is playing the same song is 8 per 50 songs or in other words 4 per 25 songs. Since we are looking for 75 just multiply 25 and 4 by 3 and you get 12 repeated songs per 75 songs

Thee volume of the cone has a value of 1, 739. 60 cubic feet

The formula for calculating the volume of a cone is expressed as;

V = πr²h/3

Where;

From the information given, we have the values as;

Diameter = 19

But radius = Diameter/2

Now, radius = 18. 7/2 = 9.35 ft

Substitute the values into the formula

Volume = 3. 142( 9.35)² × 19/3

Find the value of the square

Volume = 3. 142(87. 42) × 6. 3

Multiply the values

Volume = 1, 739. 60 cubic feet

Hence, the value is 1, 739. 60 cubic feet

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Answer: 48

Step-by-step explanation:

The sum of all natural numbers that are 5 times bigger than their last digit is 220.

To find the sum of all natural numbers that are 5 times bigger than their last digit, we can use the formula:

Sum = (Number of terms) * (First term + Last term) / 2 First, we need to find the first and last terms of the sequence.

The first term is 10, because it is the smallest natural number that is 5 times bigger than its last digit (10 = 5 * 2). The last term is 45, because it is the largest natural number that is 5 times bigger than its last digit (45 = 5 * 9).

Next, we need to find the number of terms in the sequence. The number of terms is equal to the difference between the last and first terms, divided by the common difference, plus 1:

Number of terms = (45 - 10) / 5 + 1 = 8

Now, we can plug these values into the formula to find the sum:

Sum = (8) * (10 + 45) / 2 = 220

Therefore, the sum of all natural numbers that are 5 times bigger than their last digit is 220.

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Uber is cheaper for the 10 mile ride and Lyft is cheaper for the 35 mile ride

Given:

Uber charges 0.90 per mile and a booking fee of $1.50

Lyft charges 0.87 per mile and a service fee of $2.45.

10m ride

For Uber:

price = 10(0.90) + 1.5 = 9 + 1.5 = $10.5

For Lyft:

price = 10(0.87) + 2.45 = 8.7 + 2.45 = $11.15

35m ride

For Uber:

price = 35(0.90) + 1.5 = 31.5 + 1.5 = $33

For Lyft:

price = 35(0.87) + 2.45 = 30.45 + 2.45 = $32.9

Therefore, for the 10 mile ride Uber is cheaper while for the 35 mile ride, Lyft is cheaper

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