The figure shows two intersecting lines where m angle 1 = x - 6 and m angle 2= 5x+6 what is the measure of angle 3

Answer: 7/14

Step-by-step explanation:

Y=15

1. use standard form

2/3y _ 10 = 0

2. Factorization

2/3 (y _ 15) =0

3. solution

y = 60/4

y = 15

If the standard deviation of a set of data is 6, then the value of variance is 36

The formula for determining variance is variance = √Standard deviation

Variance of a set of data is equal to square of the standard deviation.

If the standard deviation of a set of data is 6 then we get variance by putting the value of standard deviation in the formula

variance = √Standard deviation

Take square root on both sides

Standard deviation² = 6²

Standard deviation= 36

Hence,  standard deviation of a set of data is 6, then the value of variance is 36

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The value of the series is: ∑ 1/n(n+2) = lim N→∞ S(N) = 1/2.

The series ∑ 1/n(n+2)n=1 converges. To determine its value, we can use the partial fraction decomposition:

1/n(n+2) = 1/2 * (1/n - 1/(n+2))

Using this decomposition, we can rewrite the series as:

∑ 1/n(n+2) = 1/2 * (∑ 1/n - ∑ 1/(n+2))

The first series ∑ 1/n is the harmonic series, which diverges. However, the second series ∑ 1/(n+2) is a shifted version of the harmonic series, and it also diverges. But since we are subtracting a divergent series from another divergent series, we can use the limit comparison test to determine whether the original series converges or diverges. Specifically, we can compare it to the series ∑ 1/n, which we know diverges. This gives:

lim n→∞ 1/n(n+2) / 1/n = lim n→∞ (n+2)/n^2 = 0

Since the limit is less than 1, we can conclude that the series ∑ 1/n(n+2) converges. To find its value, we can evaluate the partial sums:

S(N) = 1/2 * (∑_{n=1}^N 1/n - ∑_{n=1}^N 1/(n+2))
    = 1/2 * (1/1 - 1/3 + 1/2 - 1/4 + ... + 1/(N-1) - 1/(N+1))

As N approaches infinity, the terms in the parentheses cancel out except for the first and last terms:

S(N) → 1/2 * (1 - 1/(N+1))

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Answer:

3

Step-by-step explanation:

Rewrite 27 as 3^3.

(3^3)1/3.

Cancel the commin factor of 3.

3^1.

evaluate the exponent.

3

Answer:

9/10 or 0.9

Step-by-step explanation:

Slope of a line passing through two points (x1, y1) and (x2, y2) is given by
Slope m = rise/run

where
rise = y2 - y1
run = x2 - x1

Given points (- 6, - 5) and (4, 4),

rise = 4 - (-5) = 4 + 5 = 9

run = 4 - ( - 6) = 4 + 6 = 10

Slope = rise/run = 9/10 or 0.9

Answer:

between 10 and 12

Step-by-step explanation:

Given the measure of angles:

m∠B = 70°

m∠C = 60°

m∠A = 50°

Following this information, since the side lengths are directly proportional to the angle measure they see:

Angle B is the largest angle. Therefore, side AC is the longest side of the triangle since it is opposite of the largest angle.

Angle C is the smallest angle, so the side AB is the shortest side.

Therefore, side BC must be between 10 and 12 inches.

Answer:

f(7) = -4

Step-by-step explanation:

f(7) means f(x) when x = 7. The x is replaced with 7.  

So we'll replace every x with 7 to go from x = 7 to 3 - x = 3 - 7 = -4  

Put in another way:

f(x) = 3 - x

f(7) = 3 - 7

f(7) = -4

A well-balanced long hair design should consider the proportional relationships between size, shape, texture, and color to create a harmonious and visually pleasing hairstyle that flatters the client's features and personal style.

When planning a well-balanced long hair design, it is important to consider the proportional relationships between size, shape, texture, and color. These four elements work together to create a harmonious and visually pleasing hairstyle.

Size refers to the overall scale of the hairstyle, which can range from small and delicate to large and voluminous. It's important to consider the size of the client's head and face, as well as the desired level of impact.

Shape refers to the outline or silhouette of the hairstyle, which can be angular or rounded, symmetrical or asymmetrical. The shape should be chosen to flatter the client's face shape and features, as well as to create a balanced overall look.

Texture refers to the surface quality of the hair, which can be smooth or rough, sleek or tousled. Texture can be used to add interest and movement to the hairstyle, and should be chosen to complement the client's natural hair texture and the overall design.

Color refers to the hue, saturation, and tone of the hair, which can range from natural to bold and vibrant. Color can be used to enhance the shape and texture of the hairstyle, and should be chosen to flatter the client's skin tone and personal style.

In summary, a well-balanced long hair design should consider the proportional relationships between size, shape, texture, and color to create a harmonious and visually pleasing hairstyle that flatters the client's features and personal style.

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Answer:

A

Step-by-step explanation:

you can multiply all the x numbers by three to get their y's

Using  the substitution method, the solution of the system of equations -4x + y = 3 and 5x - 2y = -9 is (x, y) = (1, 7)

We can solve this system of equations using the substitution method by solving for one variable in terms of the other in one equation, and then substituting that expression into the other equation. Here's how:

-4x + y = 3 (Equation 1)

5x - 2y = -9 (Equation 2)

Solving Equation 1 for y, we get:

y = 4x + 3

Now, we substitute this expression for y into Equation 2 and solve for x:

5x - 2(4x + 3) = -9

5x - 8x - 6 = -9

-3x = -3

x = 1

We have found the value of x to be 1. Now, we substitute this value back into Equation 1 to find the value of y:

-4(1) + y = 3

y = 7

Therefore, the solution to the system of equations is (x, y) = (1, 7)

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Answer: SYSTEMS OF EQUATIONS in TWO VARIABLES. A system of equations is a collection of two or more equations with the same set of unknowns. In solving a system of equations, we try to find values for each of the unknowns that will satisfy every equation in the system. The equations in the system can be linear or non-linear.

Step-by-step explanation:

Answer:

Gwen's and Tristan's. Keith already has the same equation as Gwen, so it won't help us find out the cost of the entry fee and the cost of each ticket.

a) No, p1 = 20, p2 = 19.50 is not a Nash Equilibrium.

b) Yes, there is a Nash Equilibrium in which Firm 2 makes a positive profit.

c) Player 1 has infinitely many strategies.

d) Yes, p1 = 15, p2 = 15 is a Nash Equilibrium.

e) No, p1 = 21, p2 = 21 is not a Nash Equilibrium.

Nash Equilibrium is a state of a strategic game where no player has an incentive to deviate from his or her chosen strategy after considering the strategies of other players. A game has more than one Nash equilibrium if players are unable to agree on a cooperative strategy to play.

Finding Nash Equilibrium

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If we let Z = 3 - X, then Z is another exponential random variable with mean 1 that is negatively correlated with X.

Let Y = 2 - X, where X is an exponential random variable with mean 1.

To show that Y is negatively correlated with X, we need to show that Cov(X,Y) < 0.

Cov(X,Y) = E[XY] - E[X]E[Y]

Since X and Y are both exponentially distributed with mean 1, we have:

E[X] = 1, E[Y] = 2 - E[X] = 1

E[XY] = E[X(2-X)] = 2E[X] - E[X^2] = 2 - Var(X)

Var(X) = E[X^2] - (E[X])^2 = 1 - 1^2 = 0

Therefore, Var(X) = 0, which means that E[XY] = 2, and Cov(X,Y) = E[XY] - E[X]E[Y] = 2 - 1*1 = 1 > 0.

Since Cov(X,Y) > 0, we know that Y is positively correlated with X. To find a random variable that is negatively correlated with X, we can use Y = 3 - X instead.

Therefore, if we let Z = 3 - X, then Z is another exponential random variable with mean 1 that is negatively correlated with X.

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The length of the cylinder can be determined by using the formula for the fundamental frequency of a closed-end cylindrical tube, which is given by f = (2n - 1) * (v/4L), where f is the fundamental frequency.

n is an integer representing the harmonic number, v is the speed of sound, and L is the length of the cylinder. In this case, the given fundamental frequency is 604 Hz and the speed of sound is 343 m/s. To find the length of the cylinder, we can rearrange the formula as L = (2n - 1) * (v/4f).

In order to find the length of the cylinder, we need to know the harmonic number (n) for the given fundamental frequency. Since the harmonic number is not provided, we cannot determine the exact length of the cylinder. However, we can calculate the possible lengths for a few harmonic numbers. For example, if we assume n = 1, then the length of the cylinder would be L = (2 * 1 - 1) * (343 m/s / (4 * 604 Hz)) = 0.283 m. Similarly, for n = 2, the length would be L = (2 * 2 - 1) * (343 m/s / (4 * 604 Hz)) = 0.566 m.

Without knowing the harmonic number (n), we cannot determine the exact length of the cylinder. However, based on the formula for the fundamental frequency of a closed-end cylindrical tube, we can calculate the possible lengths for different harmonic numbers. For the given fundamental frequency of 604 Hz and speed of sound of 343 m/s, assuming n = 1, the length would be approximately 0.283 m, and assuming n = 2, the length would be approximately 0.566 m.

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Using the multiplication and addition operations, if Fabian leaves a 15% tip, his meal plus the tip, before tax, is $40.25.

Multiplication and addition operations are two of the four basic mathematical operations.

Multiplication involves the use of multiplicand, multiplier, multiplication operand, equal symbol, and product.

The addition operation involves using the two addends, the equal sign, and the sum.

Dinner cost before tip and tax = $35

Tip = 15%

Total cost before tax = 115% (100 + 15)

Dinner cost after tip = $40.25 ($35 x 1.15)

Thus, mathematically, Fabian will spend $40.25 for the dinner before tax.

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Answer:

400×0.05+400=420

420×0.05+400=441

441×0.05+400=463.05 after 3 years

Answer:

i think that the answer is c

The value of sin is 56°45' which is the very closest to 0.8363. Option B is correct.

For finding the value of sin 56°45', we use trigonometric tables or a calculator for computing the answer

Transfigure the given angle to decimal form, and we get:

56°45' = \(56+\frac{45}{60}\)= 56.75°

Then by using a calculator or trigonometric tables for computing, we find the value of sin 56.75 degrees. So, the closest value to sin 56.75° is approximately 0.8363.

So, the correct answer is 0.8363.

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Answer:

.023------ 7/30

.4------ 4/9

1.6----- 5/3

3.5------ 32/9

All I did was divide each fraction (the numerator by the denominator) and use the answer I got to match the fraction with the decimal.

hope this helps!

The measure of an exterior angle of the regular polygon is given by 180 - (2340/2n) to the nearest degree.

The sum of the interior angles of a regular polygon is 2340°. Find the measure of an exterior angle to the nearest degree.

To find the measure of an exterior angle of a regular polygon, use the formula

`exterior angle = 360/n`,

where n is the number of sides of the polygon.

For instance, a regular polygon with 6 sides has six interior angles, each measuring 120 degrees. Using the formula

`exterior angle = 360/6`,

we get the exterior angle of the regular hexagon to be 60 degrees.

If the sum of the interior angles of a polygon with n sides is 2340°, the formula for calculating the measure of an interior angle `a` is given as:

a = (n - 2) × 180/n

Thus, a = (n - 2) × 180/n = 2340/n.

Now, using the formula for finding the exterior angle of a regular polygon, we have:

exterior angle = 360/n = 180 - a/2

Using the value of a we found earlier and substituting it into the formula, we get:

exterior angle = 180 - (2340/2n)

Therefore, the measure of an exterior angle of the regular polygon is given by `180 - (2340/2n)`.

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Answer:

$2907.89

General Formulas and Concepts:

Symbols

Pre-Algebra

Order of Operations: BPEMDAS

Algebra i

Compounded Continuously Formula: \(\displaystyle A = Pe^{rt}\)

Step-by-step explanation:

Step 1: Define

Identify variables

P = 930

t = 19

r = 6% = 0.06

Step 2: Find Interest

Answer:

18 people

Step-by-step explanation:

18/2=9

9+11=20

Answer:

18.

Step-by-step explanation:

this is because in order to find out how many were on the bus, you simply do 20 - 11 = 9. Than you must multiply 9 by 2 which equals 18. That gives you your answer.

20

y'all homeworks are easy lølllll

Answer:

upwards or to the right

Step-by-step explanation:

If the a value is positive, then the parabola opens upward or to the right, and if the a value's negative, it opens down or to the left. Hope this helps!