Hallar la cantidad de permutaciones diferentes de 7 letras que se pueden formar con las letras de la
palabra COBATAB
a) Si se deja fija la letra C.
b) Si se deja fija la última letra.

Step-by-step explanation:

3.14×18×18

1017.36ft²

2×3.14×18

113.04ft

Answer: 156.38 m

Step-by-step explanation:

Using the arc length formula, the answer is \(2\pi(8^2) \cdot \frac{140}{360} \approx 156.38\)

The value of 'n' for which the division of x^(2n-1) by x + 3 leaves a remainder of -80 is n = 1.

To find the value of 'n' for which the division of x^(2n-1) by x + 3 leaves a remainder of -80, we can use polynomial long division. Let's perform the division step by step:

Write the dividend and divisor in polynomial long division format:

_________________________

x + 3 │ x^(2n-1) + 0x^(2n-2) + 0x^(2n-3) + ...

Divide the leading term of the dividend (x^(2n-1)) by the leading term of the divisor (x). The result is x^(2n-1)/x = x^(2n-2).

Multiply the divisor (x + 3) by the quotient obtained in the previous step (x^(2n-2)). The result is x^(2n-2) * (x + 3) = x^(2n-1) + 3x^(2n-2).

Subtract the result obtained in step 3 from the original dividend:

x^(2n-1) + 0x^(2n-2) + 0x^(2n-3) + ... - (x^(2n-1) + 3x^(2n-2)) = -3x^(2n-2) + 0x^(2n-3) + ...

Bring down the next term of the dividend (which is 0x^(2n-3)) and repeat steps 2-4 until the remainder is constant.

Since we are given that the remainder is -80, we can set the remainder equal to -80 and solve for 'n'.

-3x^(2n-2) + 0x^(2n-3) + ... = -80

Since the remainder is constant (-80), it means that all the terms with x have been canceled out in the division process. Therefore, we can deduce that the highest power of x in the divisor (x + 3) is 0.

This implies that x^(2n-2) = 0, and for any value of 'n', the exponent 2n-2 should be equal to zero. Solving this equation:

2n-2 = 0

2n = 2

n = 1

Therefore, the value of 'n' for which the division of x^(2n-1) by x + 3 leaves a remainder of -80 is n = 1.

for such more question on remainder

https://brainly.com/question/825875

#SPJ8

Answer:

Domain = (-∞, ∞) Range = (-∞, ∞)

End Behavior: As X -> -∞, Y -> -∞ | As X -> ∞, Y -> ∞

Inflection Point: (2,0)

Step-by-step explanation:

The perimeter of the rectangular garden is 36 feet

The length of the garden is 6 feet less than twice the width.

Let x represent the width of the garden:

w=x

Then we can multiply it by 2 and subtract 6 to determine the length:

l=2x-6

Lets sketch the garden:

The perimeter of a rectangle is the summ of all its sides, that is twice the width plus twice the length:

Replace the formula with the given value of P and the expressions for w and l:

And solve for x, first is to apply the distributive propperty of multiplications to solve the term in parentheses:

The width of the garden is 8 feet

Now calculate the length of the garden:

The length of the garden is 10 feet

Answer:

A. x-3

Step-by-step explanation:

f(x)=3x-2 and g(x)=2x+1

(f-g)(x) = 3x-2  - (2x+1)

           Distribute the minus sign

(f-g)(x) = 3x-2  - 2x-1

       Combine like terms

           = x -3

Answer:

7

Step-by-step explanation:

Let S be the set of all graphs having vertex set  \{1,2,3,4\}. The relation \rho is defined over S such that

the graphs G and H are equivalent provided that they have same number of edges. Then, the number of equivalence classes depends on how many edges can be there in the vertex set \{1,2,3,4\} .

The number of edges is 0 forms a disconnected graph which makes an equivalent class.

The graphs of 1 edge makes an equivalent class.

The graphs of 2 edges makes an equivalent class.

The graphs of 3 edges makes an equivalent class.

The graphs of 4 edges makes an equivalent class.

The graphs of 5 edges makes an equivalent class.

In similar way, the only graph of 6 edges is complete graph which forms another equivalent class.

Hence,the total number of equivalent classes is 7.

Answer:

Step-by-step explanation:

As we know that from a theorem,

A greater angle of a triangle is opposite a greater side. Let ABC be a triangle in which angle ABC is greater than angle BCA; then side AC is also greater than side AB. For if it is not greater, then AC is either equal to AB or less.

As we have  angle A =120 so it means the other 2 angles will be less than angle A , hence the opposite side to angle A is BC ,

Hence BC line is the longest line in triangle ABC

Case : BC is the longest side

#Remember that the total degree of triangle is 180°

#If A° = 120° so B° + C° = 180°-120°

B° + C° = 60°

#From here, you already know that even the total of both of B and C is less than 120° which is the degree of A.

#If you are gonna find the length of BC, then you need to use trigonometry which will be

BC/sinA = AB/sinB = AC/sinC

#so, from here you can know that BC will be the longest one, because bigger the value, in sin, will be smaller the value

Answer:

Step-by-step explanation:

50x < 330 + 30x

The bunch of roses costs $12/$3 = 4 times as much as a single rose.

What is arithmetic sequence?

An arithmetic sequence is a sequence of numbers in which each term after the first is found by adding a fixed constant number, called the common difference, to the preceding term.

The bunch of roses costs 4 times as much as a single rose.

To see why, we can divide the cost of the bunch of roses by the number of roses it contains. If a bunch of roses costs $12 and contains, say, 4 roses, then each rose in the bunch costs $3. On the other hand, a single rose costs $3 on its own.

Therefore, the bunch of roses costs $12/$3 = 4 times as much as a single rose.

To learn more about arithmetic sequences from the given link:

https://brainly.com/question/15412619

#SPJ1

Answer:

96.25%

Step-by-step explanation:

The empirical rule regarding mean and standard deviation is that

Therefore between mean and +2 standard deviation or between mean and -2 standard deviation you will find  approximately 95/2 = 47.5% of the values

Between mean and ± 3 standard deviations you will find approximately 97.5/2 = 48.75% of the values

Therefore between 2 standard deviations above and 3 standard deviations below you will find approximately 47.5 + 48.75 = 96.25% of values

Answer:

multiply the diameter of the circle with π (

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

D. A pair of intersecting lines

Step-by-step explanation:

A conic section is a fancy name for a curve that you get when you slice a double cone with a plane. Imagine you have two ice cream cones stuck together at the tips, and you cut them with a knife. Depending on how you cut them, you can get different shapes. These shapes are called conic sections, and they include circles, ellipses, parabolas and hyperbolas. If you cut them right at the tip, you get a point. If you cut them slightly above the tip, you get a line. If you cut them at an angle, you get two lines that cross each other. That's what happened in your question. The plane cut the cone at an angle, so the curve is two intersecting lines. That means the correct answer is D. A pair of intersecting lines.

I hope this helps you ace your math question.

Answer:

B and B

Step-by-step explanation:

Answer:

the correct answer is A

and A

2 gallons lemon juice is to be added with this mixture to make the final mixture containing 50% lemon and 50% lime juice. This can be solved by using the concept of percentage.

A percentage is a number or ratio that represents a fraction of 100 in mathematics. Per 100 is what "percent" refers to. There are no units in it.

⇒7 gallons final mixture contains 50% lemon and 50% lime juice.

This means ,

⇒7 gallons final mixture contains 3.5 gallons lemon and 3.5 gallons lime juice.

⇒Initial mixture contains 30% lemon juice and 70% lime juice .

This means,

⇒10 gallons initial mixture contains 3 gallons lemon juice and 7 gallons lime juice .

⇒So 5 gallons initial mixture contains 1.5 gallons lemon juice and 3.5 gallons lime juice .

⇒ Hence 2 gallons lemon juice is to be added with this mixture to make the final mixture containing 50% lemon and 50% lime juice.

To know more about percentage refer to:

https://brainly.com/question/24877689

#SPJ1

Answer:

No. See explanation  below.

Step-by-step explanation:

No.

Since 60 × $300 = $18,000, he would be exactly at budget if he needed 60 uniforms and if each uniform cost $300, but he needs more than 60 uniforms, and each uniform costs more than $315, so the total cost is definitely more than $18,000.

No, Mr. Levy would not be staying within budget.

Sure, 60 · $300 is $18,00, but he didn't take in the other $15 or the 2 extra uniforms.

If he were to do the math correctly, he should have done 62 · $315, which would be $19,530.

If Mr. Levy were to buy all the uniforms and not worry about it because "60 · $300 is $18,000," he would go over the budget by $1,530.

Have a luvely day!

Answer:

D

Step-by-step explanation:

4X =2 X +6

=>X =  3

The points (s, t) that will maximize John's profit is; (12, 0)

We are given the inequality constraints;

s ≤ 12 - 0.5t

s ≥ 10 - t

s ≤ 20 - t

s ≥ 0

t ≥ 0

We are told that John sells the T-shirts for $6 each and the shorts for $14 each. Since the coordinate point is (s, t), when we look at the options and compare with each of the constraints, it is clear that the points (s, t) that will maximize John's profit is; (12, 0)

Read more about Inequality Constraints at; https://brainly.com/question/14309521

#SPJ1

The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).

First, let's find the slope of the line using the formula:

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

m = (0 - 4) / (5 - 3)

m = -4 / 2

m = -2

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using the point (3, 4) as our reference point, we have:

y - 4 = -2(x - 3)

Expanding the equation:

y - 4 = -2x + 6

Simplifying:

y = -2x + 10

Now, let's check the given options to find the linear function with the same y-intercept:

Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)

The y-intercept is the same as the given line (10). So, this option is correct.

Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)

The y-intercept is not the same as the given line. So, this option is not correct.

Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

for such more question on linear function

https://brainly.com/question/9753782

#SPJ8

Step-by-step explanation:

Area of the trapezoid = height x average of bases

                 area = 4 x (8+13)/2) = 42 in^2

Area of triangle  = 1/2 base * height   = 1/2 (13-8) * 4 = 10 in^2

Answer:

N=21 Degrees M=122 Degrees L= 37 Degrees X=21 Degrees

Step-by-step explanation:

Add all them up then make them equal 180 degrees

9x-9 = 180

Solve

9x=180 +9

9x= 189

9x/9= 189/9

x=21

Then plug in x to find each Angle.

N (x) Degrees

N=21 Degrees

M = 6x - 4

M = 6(21) - 4

M = 126 - 4

M = 122 Degrees

L = 2x - 5

L = 2(21) -5

L = 42 - 5

L = 37 Degrees

Answer:

should be c

Step-by-step explanation:

Answer:

B) is the answer I hope I could help

Step-by-step explanation:

To determine the value of x that satisfies the expression x^2 + 3x - 5 when x = 9, we simply substitute 9 for x and evaluate the expression:

9^2 + 3(9) - 5 = 81 + 27 - 5 = 103

Therefore, when x = 9, the expression x^2 + 3x - 5 evaluates to 103.

rate my answer, please.