9. Con 12 libros de diferentes autores, cuántas selecciones de 7 libros se pueden

hacer si:

a. Un libro determinado se incluye siempre.

b. Un libro determinado nunca se incluye.​

Answer:

\(x^{2}\)-6x=-58

Step-by-step explanation:

The balance in the account after 10 years is $15,384.45

From the question, we are to use the compound interest formula to compute the balance in the account

From the compound interest formula, we have that

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

Where A is the amount

P is the principal

r is the interest rate

n is the number of times compounded per year

and t is the time.

From the given information,

P = $12,000

r = 5%= 0.05

n = 4

t = 10

Putting the parameters into the formula

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

A = 12000(1 + 0.05/4)^(4×5)

A = 12000(1 + 0.0125)^20

A = $15,384.45

Hence, the balance is $15,384.45

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The meer-kitty survey feedback tab has limitations in its data. The survey results must have at least 120 unique responses to be considered useful and aligned with the business objective. The current data, however, only has 40 total responses, with 11 of them coming from one user. This skews the results and makes it difficult to accurately analyze the feedback.

To address these limitations, it is recommended to remove the duplicates, in this case the 11 responses from one user, and focus on the remaining 29 unique responses. This will provide a clearer picture of the survey results and a more accurate representation of the feedback. By doing so, the analysis of the data will be better aligned with the original business objective and provide more valuable insights.

It is important to consider the limitations of the data when conducting any type of analysis, especially when it comes to surveys and feedback. By taking the necessary steps to ensure the data is as accurate and reliable as possible, the results of the analysis will be more meaningful and relevant to the business.

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Answer:

14 {final answer}

Step-by-step explanation:

Let's solve the problem,

→ (x² - 4y)/2

→ (4² - (4 × -3))/2

→ (16 + 12)/2

→ 28/2 = 14

Thus, the answer is 14.

Answer:

D.

Step-by-step explanation:

First, simply the inequality.

\(11\leq 2x+5\leq 15\\6\leq 2x\leq 10\\3\leq x\leq 5\)

Based on the simplified inequality, you are looking for a line with closed points on 3 and 5. Therefore, the answer is D.

Answer:

alo

Step-by-step explanation:

sss

proo man s

The amount (present value at age 60) that Sandro would neet in his retirement savings account in order to have a monthly income of $1,500 until he is 90 years old, compounded at 4.5% monthly is $296,041.74.

The present value is computed using an online fiance calculator that discounts the future withdrawals (monthly income) for a 360-months period.

End of withdrawal period = 90 years old

Beginning of withdrawal period = 60 years old

The number of years between 60 and 90 = 30 years

N (# of periods) = 360 months (30 years x 12)

I/Y (Interest per year) = 4.5%

PMT (Periodic Payment) = $-1,500

FV (Future Value) = $0

Results:

Present Value (PV) = $296,041.74

Sum of all periodic payments = $540,000 ($1,500 x 360 months)

Total Interest = $243,958.26

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The estimated volume of the region obtained by rotating y = √(1 + 6x³) about the y-axis using the Midpoint Rule with n = 5 is 0.702 cubic units.

To use the Midpoint Rule to estimate the volume V, we first need to divide the interval [0, 1] into n subintervals of equal width. In this case, n = 5, so we have:

Δx = (1 - 0)/5 = 0.2

Next, we need to find the midpoint of each subinterval. The midpoints are:

x₁ = 0.1

x₂ = 0.3

x₃ = 0.5

x₄ = 0.7

x₅ = 0.9

Now we can evaluate the function y = √(1 + 6x³) at each midpoint to get the heights of the cylinders that will make up the approximate volume V:

y₁ = √(1 + 6(0.1)³) ≈ 1.027

y₂ = √(1 + 6(0.3)³) ≈ 1.247

y₃ = √(1 + 6(0.5)³) ≈ 1.466

y₄ = √(1 + 6(0.7)³) ≈ 1.687

y₅ = √(1 + 6(0.9)³) ≈ 1.908

Finally, we can use these heights to calculate the volumes of the cylinders and add them up to get an estimate of V:

V ≈ π(Δx/2)²(y₁ + y₂ + y₃ + y₄ + y₅)

≈ π(0.1)²(1.027 + 1.247 + 1.466 + 1.687 + 1.908)

≈ 0.702

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Answer:

285, 7392, 15708, are divisible by 3 but not by 9

Step-by-step explanation:

it's because of we add the sun of the digits, 285, 7392, 15708, they are divisible by 3. actually, except for 629, all of them are divisible by 3, but 5490 and 43695 are both divisible by 3 and 9

Answer:

t critical = 2.353

CI = (152.82 , 159.18)

Step-by-step explanation:

We are required to find the t critical value and also confidence interval

The sample mean is = 152+157+157+158/4

= 156

The standard deviation is 2.7

At a confidence level of 90%, we have α = 1 - 0.90 = 0.1

α/2 = 0.1/2 = 0.05.

Degree of freedom = 4-1 = 3

When we look this up in the t critical value table,

t critical = 2.353

Next we have to find the confidence interval

CI = (156 - 2.3530 x 2.7/√4 , 156 + 2.353 x 2.7/√4)

= 156-3.17655, 156+3.17655

CI = (152.82 , 159.18)

Upper bound = 159.18

Lower bound = 152.82

Answer:

Mean = 53.

Step-by-step explanation:

The median is the middle value so the 3 cards are

36, 46, x       where x is to be found.

The range is 41, so:

x - 36 = 41

x = 41 + 36

x = 77.

Therefore, the mean is

(36+46+77) / 3

= 159/3

= 53.

The values of the trigonometric ratios are: a) - 7/5, b) -75 c ) -1/5  d ) -25/12

Trigonometric ratios are measurements of the lengths of two sides of a triangle. There are three basic trigonometric ratios: sine, cosine, and tangent.  Sine ratios are the ratios of the length of the side opposite the angle they represent over the hypotenuse

the give parameters are:

tanα = -4/3 where π/2 <α<π and sinβ = √3/2, 0<β<π/2

a)  sin(α+β)

Using the trig ratios tan = opp/adj

but from pyth. rule, 4² + 3² = h²

16+9 = h²

h = √25 = 5

Now from trig Sin(α+β)

4/5 + 3/5

=- 7/5

b) cos(α+β)

cos = ad/hypo

4/5 + 3/5

= -7/5

c) Sin(α-β)

4/5 - 3/5

-1/5

d) tan(α-β)

= -4/3 - 3/4

= (-16 - 9)/ 12

-25/12

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The equation of a circle with diameter endpoints of (13, -1) and (15, 9) will be x² + y² - 28x - 8y + 186 = 0.

Given that:

Endpoints of diameter, (13, -1) and (15, 9)

The equation of the circle when endpoints of diameter are given is written as,

(x - x₁)(x - x₂) + (y - y₁)(y - y₂) = 0

The equation of the circle is calculated as,

(x - 13)(x - 15) + (y + 1)(y - 9) = 0

x² - 28x + 195 + y² - 8y - 9 = 0

x² + y² - 28x - 8y + 186 = 0

The equation of a circle with diameter endpoints of (13, -1) and (15, 9) will be x² + y² - 28x - 8y + 186 = 0.

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Answer:

70

Step-by-step explanation

9b - a

9(7) - (-7)

63 + 7

70

Answer:

70

Step-by-step explanation:

Since a = -7 and b = 7

9(7)-(-7)

= 70

[RevyBreeze]

Answer:

x > 2

Step-by-step explanation:

x - 5 < 3x - 9

x - 5 + 5 < 3x - 9 + 5

x < 3x - 4

x - 3x < 3x - 4 - 3x

-2x < -4

(-2x)(-1) > (-4)(-1)

2x > 4

2x/2 > 4/2

x > 2

Answer:

x > 2.

The solution in interval notation is (2, ∞).

Step-by-step explanation:

2x - (x + 5) < 3x - 9

2x - x - 5 < 3x - 9

2x - x - 3x < -9 + 5

-2x < -4

Divide both sides by -2

x > 2    (Note that the sign flips because we are dividing by a negative)

The sentence that contains correct punctuation is "Tammy is a good worker; she gets everything done on time."

Option A contains correct punctuation. It has a semicolon which separates two independent clauses and also makes a connection between them. This is the correct use of punctuation. It is also known as a semicolon conjunction.

Option B is incorrect as there is no semicolon between "colors" and "red." There should be a semicolon instead of a comma to create a connection between the two clauses.
Option C is incorrect as there is no need for a semicolon after "going home" because there is no second independent clause following it.
Option D is incorrect as there should be a semicolon between "everything" and "including" since there are two distinct groups of items being listed.
In conclusion, option A is the correct answer because it follows the rules of proper punctuation by using a semicolon correctly to join two independent clauses.

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Answer:

The correct answer is B: Saturday.

The relationship between Monday and Thursday is that they are two days apart in a typical Monday-to-Sunday week. Similarly, Friday is also two days apart from Tuesday in a typical week, so the relationship between Friday and Tuesday would be the same as the relationship between Monday and Thursday. Therefore, the correct answer is B: Saturday.

The fraction of the plot of land not occupied by the flowers is 0.0625 or 1/16.

Let's calculate the fraction of the plot of land that is not occupied by the flowers.

Given that initially, 1/4 of the land is allocated for orchids, we have 1 - 1/4 = 3/4 of the land remaining.

After planting the orchids, 2/3 of the remaining land is allocated for roses. Therefore, the fraction of land allocated for roses is (2/3) * (3/4) = 2/4 = 1/2.

Subtracting the land allocated for roses from the remaining land, we have 3/4 - 1/2 = 1/4 of the land remaining.

Finally, 0.75 of the remaining land is allocated for tulips. Therefore, the fraction of land allocated for tulips is 0.75 * (1/4) = 0.1875.

To find the fraction of the plot of land not occupied by the flowers, we subtract the fractions of land allocated for flowers from 1:

1 - (1/4 + 1/2 + 0.1875) = 1 - 0.9375 = 0.0625.

Therefore, the fraction of the plot of land not occupied by the flowers is 0.0625.

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Answer:

Step-by-step explanation:

The objective is to  Show that if the set of images {T(v1)......T(vp)} is linearly dependent, then {v1......vp} is linearly dependent.

Given that:

\(\mathbf{[T(v_1) +T(v_2) ...T(v_p)]}\) is linearly dependent set

Thus; there exists scalars \(\mathbf{k_1 , k_2 ... k_p}\) ; ( read as "such that")  \(\mathbf{k_1 T(v_1) +k_2T(v_2) ...k_pT(v_p)=0}\)

\(\mathbf{= T(k_1 v_1 +k_2v_2 ...k_pv_p)=0}\)

T = 0                                  (for the fact that T is linear transformation)

\(\mathbf{k_1 v_1 +k_2v_2 ...k_pv_p=0}\)     (due to T is one-one)

NOTE: Not all Ki's are zero;

Thus;

\(\mathbf{[v_1,v_2 ...v_p] }\)  is linearly dependent

It negation also illustrates that :

If \(\mathbf{[v_1,v_2 ...v_p]}\) is also linearly independent then \(\mathbf{[T(v_1),T(v_2) ...T(v_p)]}\) is also linearly independent.

Answer:

A: y = x²

B: y = -x

C: y = x

D: y = -x²

Step-by-step explanation:

Answer:

A y = x²

B y = -x

C y = x

D y = -x²

Step-by-step explanation:

Answer:

Step-by-step explanation:

Vertex at (3, -2) means h = -3 and k = -2

f(x) = a(x - 3)² - 2  

plug in the desired point (2, 3) to find (a)

3 = a(2 - 3)² - 2

3 = a - 2

a = 5  

f(x) = 5(x - 3)² - 2  

we can expand it to get standard form

f(x) = 5(x - 3)² - 2

f(x) = 5(x² - 6x + 9) - 2

f(x) = 5x² - 30x + 45 - 2

f(x) = 5x² - 30x + 43

Answer:

\(\sqrt[3]{215}\)

Decimal Form: 5.99072641

Look down for explanation

Step-by-step explanation:

\(\sqrt[3]{215}\)

You have to simplify.

\(= \sqrt[3]{215}\).

Decimal Form: 5.99072641

Now you have the answer to your question!

Hope this helps!

Answer:

160$

Step-by-step explanation:

160*.30=48

The Present value is $6,139.132.

We have,

FV=100000, pmt = 4000, I =5%, n=10

So, The present value formula is

PV=FV / (1 + \(i)^n\)

So, PV =  100, 000 / (1+ 5/100\()^{10\\\)

PV = 100,000 / (1+ 0.05\()^{10\\\)

PV = 100, 000/ (1.05\()^{10\\\)

PV = 100,000 / 1.6288946

PV= $6,139.132

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Answer:

The opposite of prime numbers are composite numbers. A composite number is a positive  natural l number that has at least one positive divisor other than one or itself. The number 1 is not a prime number by definition - it has only one divisor.

Step-by-step explanation:

Each number should be dragged to a box to complete the table as follows;

Kilometers     Meters

1                        1,000

2                       2,000

3                       3,000

5                       5,000

8                       8,000

In Science and Mathematics, a conversion factor can be defined as a number that is used to convert a number in one set of units to another, either by dividing or multiplying.

Generally speaking, there are one (1) kilometer in one thousand (1,000) meters. This ultimately implies that, a proportion or ratio for the conversion of kilometer to meters would be written as follows;

Conversion:

1 kilometer = 1,000 meters

2 kilometer = 2,000 meters

3 kilometer = 3,000 meters

4 kilometer = 4,000 meters

5 kilometer = 5,000 meters

6 kilometer = 6,000 meters

7 kilometer = 7,000 meters

8 kilometer = 8,000 meters

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

(a)  Volume of  1st cup  =  (1/3)pi *(4/2)^2 * 8  =   32/3 pi in^3

scoops  =  (2000/3)pi / ( 32/3) pi  =  2000/32  = 62.5  ≈  63

(b)  Volume of  2nd cup  =  (1/3)pi *(8/2)^2 * 8  =   128/3 pi in^3

scoops  =  (2000/3)pi / ( 128/3) pi  =  2000/128  = 15.625  ≈  16

I would go with the second one

it goes better with the sink

good luck

Step-by-step explanation:

If a value of 101° is added to the data, The mean decreases by 1.6°.

In mathematics, the mean is the product of the sum of the added values of all the data in a set and the number of data in the set.

To find out how adding a value affects the mean, we need to calculate the original mean and then compare it with the new mean after adding the value.

The original mean of the temperatures is:

(58 + 61 + 71 + 77 + 91 + 100 + 105 + 102 + 95 + 82 + 66 + 57) / 12 = 81.75

If we add 101 to the data, the new sum of temperatures is:

58 + 61 + 71 + 77 + 91 + 100 + 105 + 102 + 95 + 82 + 66 + 57 + 101 = 1054

The new number of data points is 13.

The new mean is:

1054 / 13 = 81.08

The mean decreases by 0.67°, so the answer is:

The mean decreases by 1.6°. (rounded to the nearest tenth)

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Answer:

The mean increases by 1.6°.

Step-by-step explanation: