I ordered some books online for myself and friends.


Each book costs $13 and the store charges a one-time shipping fee of $ 20




Write an expression for the cost of buying nn books.

Answer:

5320$

Step-by-step explanation:

Rounding to the nearest degree, the direction of u + v is approximately 17°. Therefore, the direction of u + v is 17°.

To find the direction of u + v, we need to first find the components of u and v in the x and y directions:

For vector u:

Magnitude = 50

Direction = 70°

x-component of u = magnitude * cos(direction) = 50 * cos(70°) ≈ 16.225

y-component of u = magnitude * sin(direction) = 50 * sin(70°) ≈ 47.912

For vector v:

Magnitude = 60

Direction = 240°

x-component of v = magnitude * cos(direction) = 60 * cos(240°) ≈ -30

y-component of v = magnitude * sin(direction) = 60 * sin(240°) ≈ -51.961

To find the components of u + v, we add the corresponding components of u and v:

x-component of u + v = 16.225 + (-30) ≈ -13.775

y-component of u + v = 47.912 + (-51.961) ≈ -4.049

The direction of u + v is given by the arctan of the ratio of the y-component to the x-component:

direction of u + v = arctan(-4.049/-13.775) ≈ 16.67°

Rounding to the nearest degree, the direction of u + v is approximately 17°. Therefore, the direction of u + v is 17°.

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Answer:

Step-by-step explanation:

we can write this equation into a function to easily plug in values and find solutions

\(3x - 4y = 24\\4y = 3x - 24\\y = \frac{3x}{4} - 6\)

now we can plug in any x value and find an appropriate y value

e.g.

x = 0, y = -6 (0, -6)

x = 4, y = -3 (4, -3) \(\frac{3(4)}{4} - 6 = 3 - 6 = -3\)

x = 16, y = 6 (16, 6) \(\frac{3*16}{4} - 6 = 12 - 6 = 6\)

etc

After answering the presented question, we can conclude that As a equation result, the dancing team drank 45 litres of water during last week's rehearsals.

An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the value "9." The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. The variable x is raised to the second power in the equation "x2 + 2x - 3 = 0." Lines are utilised in many different areas of mathematics, such as algebra, calculus, and geometry.

The dancing team utilised 60 bottles of water, each of which held 750 mL. To calculate the total amount of water consumed, multiply the number of bottles by the volume of each bottle:

Total volume of water utilised = 60 750 mL bottles

By subtracting out the millilitres and translating to litres, we may simplify the units:

Total volume of water utilised = 60 bottles of 0.75 L each = 45 L

As a result, the dancing team drank 45 litres of water during last week's rehearsals.

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Answer:

24

Step-by-step explanation:

2x-14=34

2x=48

x=24

x=24

Answer:

To compute the total cost based on the number of drinks and tacos, we can use the given prices of $2 for a drink and $5 for a taco. Let's assume the number of drinks is represented by "d" and the number of tacos is represented by "t". The **total cost** can be calculated as:

totalcost = (2 * d) + (5 * t)

For example, if we have 2 drinks and 3 tacos, the calculation would be:

totalcost = (2 * 2) + (5 * 3) = 4 + 15 = 19

So, with 2 drinks and 3 tacos, the total cost would be $19.

You can substitute the values of "d" and "t" with the desired quantities to calculate the total cost for different combinations of drinks and tacos.

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Answer:

The answer is 78 blue jelly beans.

Step-by-step explanation:

Since the ratio is 4:13, and there are 24 green jelly beans, 4 times 6 equals 24. If you do 13 times 6, it equals 78. Hope this helped!

Answer:

n\(\geq\)8

Step-by-step explanation:

You add 4 to both sides to make n the only thing on one side. Then to make the answer look better you move n to the left side and flip the symbol because n changed sides.

\(4\leq n-4\\ 4+4\leq n-4+4\\ 8\leq n\\ n\geq 8\)

Answer:

Step-by-step explanation:

                                   \(\boxed {a^m*a^n=a^{m+n}}\)

1)

\(6^5*6^{-3}=\\\\6^{5+(-3)}=\\\\6^{5-3}=\\\\6^2=\\\\36\)

2)

\(w^5*w^{-2}=\\\\w^{5+(-2)}=\\\\w^{5-2}=\\\\w^3\)

3)

\(10^{-4}*10^5=\\10^{-4+5}=\\10^1=\\10\)

                                             \(\boxed {\frac{a^m}{a^n}=a^{m-n}}\)

1)

\(\displaystyle\\6^5*6^{-3}\\\\\frac{6^5}{6^3} =\\\\6^{5-3}=\\\\6^2=\\\\36\)

2)

\(\displaystyle\\w^5*w^{-2}=\\\\\frac{w^5}{w^2} =\\\\w^{5-2}=\\\\w^3\)

3)

\(\displaystyle\\10^{-4}*10^5=\\\\\frac{10^5}{10^4} =\\\\10^{5-4}=\\\\10^1=\\\\10\)

Net present value is a measure of profitability. The NPV of an investment is the net cash inflow received over the project's life, less the initial cash outflow, adjusted for the time value of money.

A higher NPV means the project is more lucrative. The profitability index measures the benefit-cost ratio of a project and is calculated by dividing the present value of future cash flows by the initial cash outflow. A profitability index greater than one indicates that the project will be profitable, whereas a profitability index less than one indicates that the project will not be profitable.

Calculation of Net Present Value (NPV) of Project AInitial Outlay = $454,000Net annual cash flows = $68,000Discount Rate = 9%Use the PV of an annuity of $1 table to determine the PV of net cash flows.Using the formula for NPV,NPV of Project A = PV of net cash flows – Initial OutlayNPV of Project A = 68,000 × 7.63930 – 454,000NPV of Project A = $56,201.85Calculation of Profitability Index of Project AProfitability Index of Project A = Present value of future cash flows / Initial OutlayProfitability Index of Project A = 68,000 × 7.63930 / 454,000Profitability Index of Project A = 1.14

Calculation of Net Present Value (NPV) of Project BInitial Outlay = $300,000Net annual cash flows = $47,000Discount Rate = 9%Use the PV of an annuity of $1 table to determine the PV of net cash flows.Using the formula for NPV,NPV of Project B = PV of net cash flows – Initial OutlayNPV of Project B = 47,000 × 6.10338 – 300,000NPV of Project B = $37,100.86Calculation of Profitability Index of Project BProfitability Index of Project B = Present value of future cash flows / Initial OutlayProfitability Index of Project B = 47,000 × 6.10338 / 300,000Profitability Index of Project B = 0.96

The NPV and profitability index calculations show that project A is the better investment since it has a higher NPV and profitability index than project B.

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The ball' velocity when it left Zoey' hand is 8.85 m/s

What is the principle of conservation of energy?

The word "conservation" in physics describes anything that doesn't change. This indicates that a conserved quantity is represented by a variable in an equation that is constant over time. Its value is the same whether an event occurs before or after it.

In physics, there are a lot of conserved quantities. For making forecasts in what would otherwise be exceedingly complex situations, they are frequently remarkably useful. There are three fundamental quantities in mechanics that are conserved. They are power, forward motion, and angular momentum.

According to question

Mass of the ball = 0.2 kg

Maximum height of the ball = 4 m

Gravity = 9.8 m/s²

Therefore:

Using conservation of energy, we know that P.E. top = K.E. bottom. This tells us that the potential energy at the top is all converted to kinetic energy at the bottom. We can substitute the equations for potential energy and kinetic energy

Initial kinetic energy + Initial potential energy =  Final kinetic energy + Final potential energy

1/2mv² + 0 = mgh + 0

½(0.2)v² = (0.2)(9.8)4

v² = 78.4

v = 8.854377…

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Answer:

$5.40

Step-by-step explanation:

A tax is a compulsory sum levied by the government or an agency of the government on goods and services. Taxes increase the price of good. The items bought would increase by 8%

Tax paid by Dave = 0.08 x $15 = $1.2

total price paid by Dave = 1.2 + $15 = $16.2

Tax paid by Mel = 0.08 x $20 = $1.6

total price paid by Mel = $20 + $1.6 = $21.60

Difference in prices

21.6 -16.2 = $5.40

Answer:

B- The volume of the basketball when the radius is r

Step-by-step explanation:

I took the 10 question test

Answer:

b

Step-by-step explanation:

b

Answer:

Use colon method

Step-by-step explanation:

So it is more easy

The required value of P(A ∩ B ∩ C) is 0.045, which is determined by conditional probability.

Given the provided probabilities:

P(A) = 0.3

P(B | A) = 0.75

P(C | A ∩ B) = 0.20

To find P(A ∩ B ∩ C), we can use the formula for conditional probability:

P(A ∩ B ∩ C) = P(C | A ∩ B) * P(B | A) * P(A)

Substituting these values into the formula, we get:

P(A ∩ B ∩ C) = 0.20 * 0.75 * 0.3

P(A ∩ B ∩ C) = 0.045

Therefore, P(A ∩ B ∩ C) is equal to 0.045.

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The complete question is as follows:

Pollution of the rivers in the United States has been a problem for many years. Consider the following events: A: the river is polluted, B: a sample of water tested detects pollution, C : fishing is permitted.

Assume P(A) = 0.3, P(B|A) = 0.75, P(B|A’) = 0.20, P(C|A∩B) = 0.20.

Find P(A ∩B ∩C).

The three cut pieces should be 10 inches, 20 inches, and 40 inches  for the shortest, middle-sized and longest respectively

This is a word problem. We need to understand the sentence in order to translate it correctly.

To find the length of each of the three cut pieces, we can use the given information to set up a system of equations.

Let L, M and S be the length of the longest, middle-sized and shortest piece respectively

So we can set up the following equation:

L = 2M

S = M-10

L + M + S = 70

2M + M + (M - 10) +  = 70

We can combine like terms to get:

4M - 10 = 70

4M = 80

We can divide both sides by 4 to get:

M = 20

Therefore, the length of the middle-sized piece is 20 inches.

Since L = 2M

L =  2 × 20 inches = 40 inches.

Since S = M - 10

S = 20 - 10 = 10 inches.

Therefore, the three cut pieces should be 10 inches, 20 inches, and 40 inches for the shortest, middle-sized and longest respectively

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Answer:

33

Step-by-step explanation:

Because 21 goes to 0 then to -12 we add then and it equals 33. I hope this helps!

Answer:

sec θ

Step-by-step explanation:

cos θ + sin θ tan θ

= cos θ + sin θ (sin θ / cos θ)

= cos θ + (sin²θ)/cos θ

= cos θ + (1 - cos²θ) / cosθ

= cos θ + 1/cos θ - cos²θ/cos θ

= cos θ + 1/cos θ - cos θ

= 1/cos θ

= sec θ

A random survey found that 13 of the 29 people surveyed prefer chocolate cake. Based on those results, about 26 people prefer chocolate cake from a population of 58 people.

According to the survey results, about 44.8% (13/29) of the sample population preferred chocolate cake. If we apply this percentage to the total population of 58 people, we can estimate that approximately 26 people prefer chocolate cake.

Therefore, the answer is option A: 26. It's important to note that this is just an estimation based on the survey results and may not be an accurate reflection of the true preferences of the entire population.

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Answer:

(x,y)=(0,5)

Step-by-step explanation:

The total number of 2-digit numbers that are multiples of either 5 or 7 is 27

The multiples of 5 end on 0 or 5, so we have:

10, 15, 20, 25,..., 95

A total of 17 numbers of 2 digits are multiples of 5.

How many multiples of 7 are there?

7*2 = 14

7*14 = 98

So there are 14 - 2 = 12 multiples of 7 in the range.

Such that:

7*5 = 35

7*10 = 70

So there are 2 common multiples of 5 and 7.

Then the total number of 2-digit numbers that are multiples of either 5 or 7 is:

17 + 12 - 2 = 27

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A continuous function is a mathematical function that has no abrupt changes or interruptions in its graph, meaning it can be drawn without lifting the pen from the paper. To find the decay constant, r, for this continuous function, we can use the formula:

A(t) = A₀ * e^(-rt)

Where:

A(t) is the amount of medication remaining after time t
A₀ is the initial dosage
e is the base of the natural logarithm (approximately 2.71828)
r is the decay constant

Given that the initial dosage is 78 mg and after 3 hours, 48 mg still remains, we can substitute these values into the formula:
48 = 78 * e^(-3r)

Next, we can solve for the decay constant, r. Divide both sides of the equation by 78:
48/78 = e^(-3r)
0.6154 = e^(-3r)

Now, take the natural logarithm of both sides to isolate the exponent:
ln(0.6154) = -3r

Finally, solve for r by dividing both sides by -3:
r = ln(0.6154) / -3

Using a calculator, we find that r ≈ -0.1925.

To find the half-life, h, of the medication, we use the formula:
h = ln(2) / r

Substituting the value of r we just found:
h = ln(2) / -0.1925

Using a calculator, we find that h ≈ 3.6048 hours.

Therefore, the decay constant, r, is approximately -0.1925, and the half-life, h, of the medication is approximately 3.6048 hours.

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Answer:

A

Step-by-step explanation:

Answer

Choice C: (1 1/4 + 2 3/8) / 3/4

Step-by-step explanation:

His salad consists of 1 1/4 cups of purple cabbage and 2 3/8 cups of lettuce. First, you would add those two together to get how much the salad is. THEN divide by how much he eats each day which is 3/4.

Answer:

1

Step-by-step explanation:

3.2/0.4=8

8×2=16

16×0.4=6.4

6.4÷0.1=64

Answer:

-124

Step-by-step explanation:

3x + 2y = 14 (×3) → 9x + 6y = 42

- → x = -18

5x + 3y = 12 (×2) → 10x + 6y = 24

3(-18) + 2y = 14

-54 + 2y = 14 → 2y = 14 + 54 = 68 → y = 68/2 = 34

5x - y = 5(-18) - 34 = -90 - 34 = -124

The cat population in Catonsville in 2007 was 200. The answer is option B.

Population refers to the total number of people, animals, or objects in a particular group or area. It is the entire group or collection of individuals, things, or events that we are interested in studying or describing.

We can use the given equation to find the cat population at any given time in years since the beginning of 2010. However, to find the population in 2007, we need to make a conversion from years since the beginning of 2010 to years since the beginning of 2007.

From the beginning of 2007 to the beginning of 2010, there are 3 years, so if we subtract 3 from the number of years since the beginning of 2010, we will get the number of years since the beginning of 2007. Therefore, we need to substitute t = -3 into the given equation and solve for p:

\(p = 1600(2)^t\\p = 1600(2)^(-3)\\p = 1600(1/8)\\p = 200\)

Therefore, the cat population in Catonsville in 2007 was 200. The answer is option B.

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Um...wut is shoe commercial?

Anyway, she wants to split them equally among 4 neighbors and herself.

So do 5/5. It 1.

So everybody get 1 each.

---

hope it helps

a. The tree diagram that summarizes the given probabilities is attached.

b.  The probability that the individual does not participate in sports, given that he graduate sis  0.2 =  20%.

We apply Bayes' theorem to calculate:

Probability (Does not participate in sports if graduates)  = (P(Does not participate in sports) * P(Graduates | Does not participate in sports)) / P(Graduates)

The given data include: probability of not participating in sports = 0.02 probability of graduating given no participation in sports = 0.82 probability of graduating  = 0.18

Probability (Does not participate in sports if graduates)  = (0.02 * 0.82) / 0.18 = 0.036 / 0.18=  0.2

| Sports | No Sports |

                          |-------|--------|

Student participates | 0.18  | 0.62  |

                          |-------|--------|

Student does not participate | 0.02  | 0.78  |

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