If everyone in the town of Skunk's Crossing (population 84) has a telephone, how many different lines are needed to connect all the phones to each other? (the question is 40 pts please help me :0)

In theory, this event could pay enough to cancel out Wanda's expenditures the job pay 16 trips.

Establish a variable.

Utilizing the variable, write an equation.

Make the equation work.

Let C be the total cost of each transaction.

T, the quantity of slides down the water slide,

Since the price is the same regardless of how much she rides, C = 89 for the first transaction.

For the second agreement, C = 16plus T.

Set the two costs equal to one another, then use T to determine when they are equal.

89 = 16 + T + T = 18 trips.

Given that the first contract can only have a cost of $90, the price must be $15.

90 = 15 + T + T = 16 trips.

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10 is the mean of the number that is missing.

A property of an assortment of data that represents an average is called the mean. Depending on the nature of the information as well as the kind of average you require, one can compute the mean theoretically employing any of the several ways. Scheming the data distribution constantly allows one to visually determine the mean as well.

Let the missing number be x.

The sum of all the numbers will be

= 11 + 20 + 3 + 1 + x

= 35 + x

The total number is 5.

The mean is given to be 9.

The mean will be

9 = (35 + x) / 5

9 * 5 = 35 + x

45 = 35 + x

10 = x

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Answer:The answer will be 35ft

Step-by-step explanation:

One way that you can answer this is by using sin law. You will put the length of a side on top and the corresponding angle that faces towards that side at the bottom of a fraction. So for this one it will be 30/sin(70) = x/sin(90) The 90 comes from the bottom of the building with the ground. And the side the angle faces is the ladder. After that you put 30sin(90)/sin(70) to find x. And you get 34.655 which rounds to 35 ft.

Answer:

\(\pi\)

Step-by-step explanation:

Given

\(Curve\ length = d\)

Required

Number of curve length needed to round the circle

The length round the circle is the circumference of the circle.

To get the number of curves (n), we simply divide the circumference by the length of each curve.

i.e.

\(n = \frac{Circumference}{Curve\ length}\)

Circumference is calculated as:

\(Circumference = \pi d\)

So, we have:

\(n = \frac{\pi d}{d}\)

Simplify fraction

\(n = \pi\)

Hence, \(\pi\) of the curve length will fit the circle

To determine whether a critical point is a relative minimum or maximum using concavity, we need to examine the second derivative of the function at the critical point.

If the second derivative is positive, then the function is concave up, meaning it is shaped like a bowl opening upwards. At a critical point where the first derivative is zero, this indicates a relative minimum, as the function is increasing on either side of the critical point.

On the other hand, if the second derivative is negative, then the function is concave down, meaning it is shaped like a bowl opening downwards. At a critical point where the first derivative is zero, this indicates a relative maximum, as the function is decreasing on either side of the critical point.

If the second derivative is zero, then the test is inconclusive and further analysis is needed, such as examining higher order derivatives or using other methods such as the first derivative test.

Therefore, the concavity test is a useful method for determining the nature of critical points and whether they represent a relative minimum or maximum.

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Complete question is:

What we need to examine for a method for determining whether a critical point is a relative minimum or maximum using concavity.

Answer: 2/8, 2/3, 2/4

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

Using Pythag theoem

c^2 = a ^2 + b^2

(sqrt4)^2 =?  (sqrt(2))^2 + (sqrt(3))^2  

  4 = ?     2 + 3        No...not a right triangle

The x-intercept of the line calculator is (-1,0) while the y-intercept is (0,-3).

To determine the x-intercept, let y = 0 and solve for x in the equation y = 3x - 1.

Substitute 0 for y in the equation.0 = 3x - 1

Add 1 to both sides1 = 3x

Divide both sides by 3x = 1/3

The x-intercept of the line is (1/3, 0).

To find the y-intercept, let x = 0 and solve for y in the equation y = 3x - 1.

Substitute 0 for x in the equation.y = 3(0) - 1y = -1

The y-intercept of the line is (0, -1).

Therefore, the x-intercept is (1/3, 0), and the y-intercept is (0, -1).

Therefore, The x-intercept of the line calculator is (-1,0) while the y-intercept is (0,-3). The calculation above supports the conclusion.

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Answer:

Irrational

Step-by-step explanation:

Answer:

Step-by-step explanation

b/sin(102°) =27/sin(28°)
⇔b ≈56,2548

Using sine rule of triangles, the length of the hypotenuse is 56.3 rounded to the nearest tenth

Sine rule of triangles is related using the formula :

Inputting values into the relation

b/sin(102) = 27/sin(28)

cross multiply

b * sin(28) = 27 * sin(102)

divide both sides by sin(28)

b = 26.40998/sin(28)

b = 56.254

Therefore, the length of b in the figure given is 56.3

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Answer:

x > 2

Step-by-step explanation:

I hope this helps

Answer:

\(\sqrt{117}\)

Step-by-step explanation:

Use the Pythagorean Theorem by cutting rectangle ABCD diagonally.

6^2+9^2=(AC)^2

117=(AC)^2

So the length of AC is \(\sqrt{117}\)

Answer:

The length of the rectangle is 15 inches and the width is 33 inches

Step-by-step explanation:

The dimensions for the rectangle are as follows:

L=L and W=2L+3

The equation for perimeter of a rectangle is:

P=2l+2w

To Solve:

1. Plug values into perimeter equation

96=2(L)+2(2L+3)

2. Simplify the equation above.

96=2L+4L+6

3. Combine like terms:

96=6L+6

4. Solve for L by subtracting 6 from both sides:

90=6L

5. Solve for L by dividing both sides by 6:

15=L.

6. Plug 15 into the equation for the width:

2(15)+3=w

30+3=w.

Answer:

Hey there!

Your answer is close- but not quite! You chose y=10x, however, if you look closely, the cost is 10 at 2 sandwiches. Thus, the slope should be 5, and correct answer would be y=5x.

Let me know if this helps :)

Answer:

the answer should be C

Answer:

\(Total\ water\ drank = 1\frac{7}{20}\ liters\)

Step-by-step explanation:

Amount of water drank before jogging = 3/4 liter

Amount of water drunk after jogging = 3/5

Total amount of water drunk = amount drank before jogging + amount drank after jogging

\(Total\ water\ drunk\ = \frac{3}{4} + \frac{3}{5} = \frac{15+ 12}{20} = \frac{27}{20}\\converting\ to\ a\ mixed\ number\\ \frac{27}{20}= 1\frac{7}{20}\\\therefore Total\ water\ drank = 1\frac{7}{20}\ liters\)

Answer:

around year 5ish or early 6 year

Step-by-step explanation:

I'm not sure if this dividing,multiplying,subtracting or adding but for adding i got 6 as my answer.I don't know if this the correct answer but its better than having no answer right?

Answer:

It depends... look at the bottom of my explanation

Step-by-step explanation:

\(5\frac{1}{3}=\frac{31}{3}\)   — I converted this to an improper fraction to make this easier; the 30 added to the 1 in the numerator comes from multiplying 5 by the denominator, 3, to create an equivalent number.

³¹/₃ ÷ ²/₃  — Now we divide the two fractions.

³¹/₃ × ³/₂  — Dividing by one fraction is the same as multiplying by its reciprocal

³¹/₁ × ¹/₂  — One fraction has a 3 in its numerator, the other in its denominator. These two "3" values cancel out

31 ÷ 2  — simplifying the resulting expression

³¹/₂ = 15.5  — two other ways to rewrite it; 15.5 comes from dividing 31 by 2

Now, she can't make part of a batch... could she? If she can, it's 15.5. If she can't, she can make 16 or 15 batches depending on how you round.

That's a judgment call. But I hope you understand this better! Have a great day!

Answer: ummmm...im guessing that u might have to divide equation and the plot point or subtract

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer is D. The graph to the left of x = 1 has an open hole at the x value of 1, and the graph does not continue on past the x value of 1. Therefore, the domain of that function is all values of x that are to the left of x = 1. The hole is open because the inequality statement doesn't have a line under the inequality symbol that says we have to include it. It is, however, included at the x value of 1 on the line.

Answer:

An example of geometric series is  2 + 6 + 18 + 54.

When a set of numbers follow a particular order, they are said to be in sequence.

A set of numbers are said to be in geometric sequence if the ratio between second and first term is same as the ratio between third and second term and so on. The geometric sequence is presented as

Sum of n terms = a, ar, ar², ar³,  ......, arⁿ⁻¹, arⁿ.

where,

The first term is a.

Every two consecutive terms, r is the common ratio.

The number of terms is n.

When the numbers in geometric sequence are added together, it is called a geometric series. The geometric series is presented as

Sum of n terms = a + ar + ar² + ar³ + ...... + arⁿ⁻¹ + arⁿ.

where,

The first term is a.

Every two consecutive terms, r is the common ratio.

The number of terms is n.

Let us take an example.

The numbers 2, 6, 18, 54 are in geometric sequence because 6:2 = 18:6 = 54:18 and when we will write it as 2 + 6 + 18 + 54, it will become a geometric series.

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Answer:

1. 42.95

2. 8.8 meters; -14 meters

3. -53; 780

Step-by-step explanation:

1. subtract 1985 from 2013, you get 28

plug in 28 to the equation and you get 42.95

2. plug in the values of t

-4.9 (2^2) + 1.7 (2) + 25 = 8.8

-4.9 (3^2) + 1.7 (3) + 25 = -14

3. plug in your values again

5^3 - 6 (5^2) - 8 (5) + 12 = -53

12^3 - 6 (12^2) - 8 (12) + 12 = 780

The correct answer is the remainder of dividing \(x^{100}\) + x - 2 by x + 1 is -2.

To find the remainder of dividing the polynomial \(x^{100}\)+ x - 2 by x + 1 without actually performing long division, we can use the remainder theorem.

The remainder theorem states that if you divide a polynomial f(x) by x - a, the remainder is equal to f(a).

In this case, we want to find the remainder when dividing \(x^{100}\) + x - 2 by x + 1. The remainder is equal to the polynomial evaluated at x = -1.

Substituting x = -1 into the polynomial:

\(-1^{100} + (-1) - 2 = 1 - 1 - 2 = -2\)

Therefore, the remainder of dividing \(x^{100}\) + x - 2 by x + 1 is -2.

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"Study smart one triangle has vertices a,b, and c. another has vertices t, r, and i, are the 2 triangles similar?"

It is not possible to determine if the two triangles are similar based on the information provided.

In order for two triangles to be similar, they must have the same shape but not necessarily the same size. The sides of the two triangles must be in proportion and corresponding angles must be congruent.

Similarity between two triangles can be determined by using the criterion of AAA similarity or SAS similarity, which states that two triangles are similar if:

without knowing the measures of the angles and sides of the triangles, it is impossible to determine if the two triangles are similar.

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Given signalx[n]= 8 + cos(8πn/17)The given signal is a sum of a constant and a cosine signal. The cosine signal is periodic with a period of 17, and a frequency of 8π/17 rad/sample.

To find the fundamental period of the given signal we need to consider both the constant and the cosine signal. Period of constant signal = ∞ Period of cosine signal = 2π/((8/17)π) = 17/4 samples. Now, we need to find the least common multiple (LCM) of the two periods, which will give us the fundamental period.

LCM (17/4, ∞) = 17/4 × 2 = 34/4 = 8.5The fundamental period of the given signal is 8.5 samples.  Now, we need to find the least common multiple (LCM) of the two periods, which will give us the fundamental period.

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Answer:

may be greater than

Answer:

The answer is less than

Step-by-step explanation:

4/7 × 3/7 = 12/49

cross multiply 12/49 with 4/7

(12)(7) __ (49)(4)

84 < 196

the limit of f(x) as x approaches 1 does not exist, or in other words, lim (x → 1) f(x) is undefined.

Based on the given information, we have the following:

As x approaches 1 from the left, f(x) approaches 7.

As x approaches 1 from the right, f(x) approaches 3.

This means that the left-hand limit of f(x) as x approaches 1 is 7, and the right-hand limit of f(x) as x approaches 1 is 3.

Mathematically, we can express this as:

lim (x → 1-) f(x) = 7

lim (x → 1+) f(x) = 3

The overall limit of f(x) as x approaches 1 will exist if the left-hand limit and the right-hand limit are equal. However, since the left-hand limit is 7 and the right-hand limit is 3, these limits are not equal.

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Answer:B

Step-by-step explanation:

A) 40

Step-by-step explanation:

2×2×2= 8

4×8= 32

8+32= 40