Find the value of x in the figure below. Assume that the lines are parallel
A= 45
B=120
C=30
D=90
E=25

Answer: C

Step-by-step explanation: 5pi converts to 15.70796

Answer:

slightly less than 15 of b.

The period of oscillation is 3 seconds

A Oscillation is the periodic change of a measure around a central value or between two or more states, usually in time.

The time taken for an oscillating particle to complete one cycle of oscillation is known as the Period of oscillating particle. It is measured in seconds

Oscillation can also be vibration or revolution or cycle.

Therefore, using the graph to determine the period. Then the wave particle made a complete oscillation at 3 second.

This means that the period of the particle is 3 seconds.

learn more about period of oscillation from

https://brainly.com/question/22499336

#SPJ1

A polynomial is considered rational if it can be written as a polynomial divided by a polynomial.

Any function that can be expressed as a rational fraction in mathematics—an algebraic fraction in which the numerator and denominator are both polynomials—is referred to as a rational function.

Here,

Given :f (x) = 4/x-3+2.

=> vertical asymptotes :

=> 4/x

and

horizontal asymptotes :

=> -1

The rational function is (x/y)where y≠ 0

So,

x≠0.

can be a rational function for them.

Oblique, vertical, and horizontal asymptotes are the three forms of asymptotes that make up the different types of rational functions. The maximum number of horizontal or oblique asymptotes for a rational function is one, although there can be multiple vertical asymptotes.

To learn more about asymptotes refers to;

brainly.com/question/28003042

#SPJ1

Answer:

8.81

Step-by-step explanation:

Answer:

18.01 tak   myśle

Answer:

Protista

Step-by-step explanation:

Archaebacteria.

Eubacteria.

Protista.

Fungi.

Plantae.

Animalia.

These are the 6 kingdoms

The slope of the straight line passing through the two given points is undefined which means the line is parallel to the y-axis.

Let us consider the two points A(x₁,y₁) and B(x₂,y₂) be the two points (7,-6) and (6,-6) on the cartesian coordinates.

Let the slope of the line joining A (7,-6)  and B(6,-6)  be m.

We know that the slope of a line is given by:

\(m=\frac{y_2-y_1}{x_2-x_1}\)

Slope of the line

= (6-7) / (-6+6)

= -1 / 0

= undefined

Since the slope is undefined we can say that the straight line is parallel to the y axis.

we know that tan 90° = ∞

So any line parallel to this line will have the same slope as the y axis.

Hence the slope of the given line is undefined or infinity.

To learn more about slope visit:

https://brainly.com/question/11559942

#SPJ1

i.  The position vector of X is 2b - a.

ii.  The position vector of Y is (3b + c)/4.

iii.  The ratio XY : Y Z is \(|(2b - a) - ((3b + c)/4)|/|((3b + c)/4) - (a + c)/2|\). Simplifying this expression will give us the final ratio.

i. To find the position vector x of point X, we can use the concept of vector addition. Since AB : BX = 2 : 1, we can express AB as a vector from A to B, which is given by (b - a). To find BX, we can use the fact that BX is twice as long as AB, so BX = 2 * (b - a). Adding this to the vector AB will give us the position vector of X: x = a + 2 * (b - a) = 2b - a.

ii. Similar to the previous part, we can express BC as a vector from B to C, which is given by (c - b). Since BY : YC = 1 : 3, we can find BY by dividing the vector BC into four equal parts and taking one part, so BY = (1/4) * (c - b). Adding this to the vector BY will give us the position vector of Y: y = b + (1/4) * (c - b) = (3b + c)/4.

iii. Z is the midpoint of AC, so we can find Z by taking the average of the vectors a and c: z = (a + c)/2. The ratio XY : YZ can be calculated by finding the lengths of the vectors XY and YZ and taking their ratio. Since XY = |x - y| and YZ = |y - z|, we have XY : YZ = |x - y|/|y - z|. Plugging in the values of x, y, and z we found earlier, we get XY : YZ =\(|(2b - a) - ((3b + c)/4)|/|((3b + c)/4) - (a + c)/2|\).

For more such questions on vector

https://brainly.com/question/15519257

#SPJ8

The Coalition for Airline Passengers Rights, Health, and Safety averages 400 calls a day to help stranded travelers deal with airlines. The hotline is staffed for 16 hours a day.

To calculate the average number of calls in different time intervals and the probability of different events related to these calls.

Part 1:

a. 60-minute interval average number of calls: 400/16 = 25 calls

30-minute interval average number of calls: 25/2 = 12.5 calls

15-minute interval average number of calls: 12.5/2 = 6.25 calls

Part 2:

b. To find the probability of exactly 6 calls in a 15-minute interval, we can use the Poisson distribution formula. Let's assume that the average number of calls in a 15-minute interval is 6.25. Then, the probability of exactly 6 calls in a 15-minute interval is:

P(6 calls) = (e^-6.25)*(6.25^6)/6! = 0.0686

c. To find the probability of no calls in a 15-minute interval, we can use the Poisson distribution formula. Let's assume that the average number of calls in a 15-minute interval is 6.25. Then, the probability of no calls in a 15-minute interval is:

P(0 calls) = e^-6.25 = 0.0047

d. To find the probability of at least two calls in a 15-minute interval, we can use the cumulative distribution function of the Poisson distribution. Let's assume that the average number of calls in a 15-minute interval is 6.25. Then, the probability of at least two calls in a 15-minute interval is:

P(X >= 2) = 1 - P(0 calls) - P(1 call) = 1 - 0.0047 - (e^-6.25)*(6.25^1)/1! = 0.9906

Thus, the average number of calls in a 60-minute interval is 25, in a 30-minute interval is 12.5, and in a 15-minute interval is 6.25. The probability of exactly 6 calls in a 15-minute interval is 0.0686, the probability of no calls in a 15-minute interval is 0.0047, and the probability of at least two calls in a 15-minute interval is 0.9906.

Learn more about Probability here brainly.com/question/11234923

#SPJ4

The distance between points R and S is  \(\sqrt{ (185)\). The correct answer is D. She made no errors.

Heather's work to find the distance between two points, R(-3,-4) and S(5,7), is shown:

RS = √(-4) (-3))² + (7 − 5)²

= √(-1)² + (2)²= √1 + 4

= √5

The error is with the order of subtraction in the formula for the distance between two points.

Heather did not make any errors in calculating the distance between two points. Therefore, the correct answer to the question above is (OD) She made no errors.

The formula for the distance between two points, A (x1, y1) and B (x2, y2), in the coordinate plane is given as;

dAB = \(\sqrt{  ((x^2 - x1)^2 + (y2 - y1)^2)\)

Comparing the given question with the formula above, we have;

A = R (-3, -4) and B = S (5, 7)The distance, AB = RS.

Therefore, we have;

RS = \(\sqrt{ ((5 - (-3))^2 + (7 - (-4))^2)\)

On solving the above equation;RS = \(\sqrt{ ((5 + 3)^2 + (7 + 4)^2)\)RS

= \(\sqrt{ (8^2 + 11^2)RS\)

= \(\sqrt{ (64 + 121)RS\)

= \(\sqrt{ (185)\)

Therefore, the distance between points R and S is  \(\sqrt{ (185)\).

From the calculation, it is clear that Heather did not make any errors while calculating the distance between two points. The answer obtained by Heather is correct.

For more questions on distance between

https://brainly.com/question/15958176

#SPJ8

Answer:

16

Step-by-step explanation:

Multiply the term (4) by the common ratio (4)

4 * 4 = 16

Answer:

22

Step-by-step explanation:

you have to add the students She greeted together and then take it away from the students she said goodbye to

The expected total dollar net operating Income for next year = $70,000

1) The contribution format income statement for the game last year, and the degree of operating leverage is computed below:

Contribution format income statement for the game last year Sales (15,000 × $20) = $300,000

Variable expenses (15,000 × $6) = $90,000

Contribution margin = $210,000

Fixed expenses = $182,000Net operating income = $28,000

Degree of operating leverage = Contribution margin / Net operating income= $210,000 / $28,000= 7.5 2)

The expected percentage increase in net operating income for next year:

The expected sales in next year = 18,000

games selling price per game = $20

Therefore, Total sales revenue = 18,000 × $20 = $360,000

Variable expenses = 18,000 × $6 = $108,000

Fixed expenses = $182,000

Expected net operating income = Total sales revenue – Variable expenses – Fixed expenses

= $360,000 – $108,000 – $182,000= $70,000

The expected percentage increase in net operating income = (Expected net operating income - Last year's net operating income) / Last year's net operating income*100= ($70,000 - $28,000) / $28,000*100= 150%

The expected total dollar net operating income for next year = $70,000

To know more about Income.

https://brainly.com/question/30467914

#SPJ8

Step-by-step explanation:

hey, hope this helps. :)

Answer:

The solution is 6-->4-->9-->7-->1

Step-by-step explanation:

The answer is 2.52

I hope this helps you!

Answer:

Step-by-step explanation:

3.12 - 0.6 = 2.52

Step-by-step explanation:

The key word "per" hints at a ratio

A ratio is represented by ?:?, ?/?, etc

So, we can divide the two

pages. 36 pages

----------- = ------------- = 3 pages per min minute 12 minutes

Answer:

81 days

Step-by-step explanation:

Formula to solve this type of equation \(t=\frac{k}{p}\)

t is time

k is a constant

p is people

We must substitute the values into the equation

\(54=\frac{k}{9}\)

\(k=486\)

Now we must substitute it to find the time

\(t=\frac{486}{6}\)

you get 81

It would take \(6\) builders  \(36\) days to complete the same house.

Builders are those person whose job is to build or repair houses and other buildings.

We have,

\(9\) builders take \(54\) days to complete a house.

So,

\(1\)  builder will take  \((\frac{54}{9})\)  days to complete a house,

In the same way,

\(6\)  builder will take  \((\frac{54}{9}*6)\)  days to complete a house,

i.e.

\(6\)  builder   \(=(\frac{54}{9}*6)= 36\) days.

Hence, we can say that it would take \(6\) builders  \(36\) days to complete the same house.

To know more about  builders and work click here

https://brainly.com/question/16924313

#SPJ2

Answer:

$18.75 for 1
$937.50 for 50

Answer:

7000

Step-by-step explanation:

I think this is the answer

Answer:

\( \small{\boxed{ \sf{Term \: in \: both \: the \: sequence \: is \: 15}}}\)

Step-by-step explanation:

To determine the common term in both the sequence let's solve for each sequence individually.

Let's solve for first sequence

\(f(n) = f(n-1)+4\)

we are already told that f(1) = 3

let's solve for f(2),f(3),f(4)........ and so on till we get the highest digit or more than the highest digit from given option.

f(2) = f(2-1)+4 = f(1)+4

f(2) = 3+4

\(\small{ \fbox{f(2) = 7}}\)

f(3) = f(3-1)+4 = f(2)+4

f(3) = 7+4

\( \small{\fbox{f(3)= 11}}\)

on solving further..

The series obtained is 3, 7, 11, 15, 19, 23, 27, 31, 35, 39, 43, 47, 51, 55, 59, 63, 67, 71, 75, 79, 83, 87, 91, 95, 99, 103, 107, 111, 115, 119, 123, 127, 131, 135.....

Let's solve for second series

\(f(n) = 3×5^{n -1}\)

given that f(1) = 3,

f(2) = 3×5¹ = 15

f(3) = 3×5² = 75

f(4) = 3×5³ = 375

The series obtained is 3, 15, 75, 375.....

The term obtained in both the sequence is 15 hence option B is correct Answer.

Thanks for joining brainly community!

The zeros and the multiplicities are

from the question, we have the following parameters that can be used in our computation:

f(x) = (x + 6)³(x - 11)²(x - 6)(x + 5)³

The power of each factor are the multiplicities

So, we have

Zero(s) of multiplicity one:

x - 6 = 0

Zero(s) of multiplicity two:

x - 11 = 0

Zero(s) of multiplicity three:

x + 6 = 0 and x + 5 = 0

When evaluated, we have

Zero(s) of multiplicity one:

x = 6

Zero(s) of multiplicity two:

x = 11

Zero(s) of multiplicity three:

x = -6 and x = -5

Read more about polynomial at

https://brainly.com/question/30833611

#SPJ1

Answer:

A, B, D

Step-by-step explanation:

68 + 3 is greater than 70

70 +3 is greater than 70

71 + 3 is greater than 70

Answer:

68, 70, 71  (A,C,D)

Step-by-step explanation:

x + 3 > 70

=> x > 70 - 3

=> x > 67

Therefore x can be 68, 70, 71 but not 67 & -70.

Answer:

\(y = 4(x - 4)^2 - 2\)

or

\(y=4x^2 -32x + 62\)

Step-by-step explanation:

Given

\(V = (4,-2)\) --- vertex

\(P = (2,14)\) --- point

Required

The equation of the parabola

The equation of the parabola is of the form

\(y = a(x - h)^2 + k\)

Where

\(V (4,-2) = (h,k)\) ---- the vertex

So, we have:

\(y = a(x - h)^2 + k\)

\(y = a(x - 4)^2 - 2\)

In \(P = (2,14)\), we have:

\((x,y) = (2,14)\)

Substitute \((x,y) = (2,14)\) in \(y = a(x - 4)^2 - 2\)

\(14 = a(2 - 4)^2 - 2\)

\(14 = a(- 2)^2 - 2\)

\(14 = a*4 - 2\)

\(14 = 4a - 2\)

Collect like terms

\(4a = 14 +2\)

\(4a = 16\)

Divide both sides by 4

\(a= 4\)

So:

\(y = a(x - 4)^2 - 2\) becomes

\(y = 4(x - 4)^2 - 2\)

Open bracket to express the equation in standard form

\(y=4(x^2 -8x + 16) - 2\)

\(y=4x^2 -32x + 64 - 2\)

\(y=4x^2 -32x + 62\)

(a) The probability that at least 29% of the sample are from poverty level households is 0.0466.

(b) Based on the answer to part (a), there is not enough evidence to suggest that the percentage of children under the age of 6 living in households with incomes less than the official poverty level in this state is greater than the national value of 22%.

The probability of finding at least 29% of the sample from poverty level households is low, indicating that the difference between the observed percentage and the national value is not statistically significant.

Learn more about probability:

https://brainly.com/question/24756209

#SPJ4

Given the system of equations:

x - 3y = 4

2x - 6y = Q

Let's find the value of Q.

Let's solve the equations simulateneously using substitution method.

Rewrite the first equation for x:

• Add 3y to both sides of equation 1

x - 3y + 3y = 4 + 3y

x = 4 + 3y

• Substitute (4 + 3y) for x in equation 2:

2x - 6y = Q

2(4 + 3y) - 6y = Q

• Apply distributive property:

2(4) + 2(3y) - 6y = Q

8 + 6y - 6y = Q

8 + 0 = Q

8 = Q

Q = 8

Therefore, the value of Q is 8

ANSWER:

8

Answer 3.04 x 10^-2

I hope that helps!

Answer:

  B)  15/17

Step-by-step explanation:

You want the sine of acute angle A in the right triangle shown.

The sine of the angle is the ratio ...

  Sin = Opposite/Hypotenuse

We can go to the trouble to figure the hypotenuse, or we can choose the only suitable answer from the list provided. (It is the one marked already.)

The leg lengths of the triangle shown are 8 and 15, with leg 15 being opposite angle A. This is the first clue that the ratio will have 15 in the numerator. Only answer choice B matches.

The value of the sine function is never greater than 1, eliminating answer choices A, C, and E, leaving choices B and D.

Since the side opposite angle A is the longest of the two legs, we know that angle A is more than 45°, and its sine is more than √2/2. That means choice D can be eliminated, since it is less than 1/2.

The sine of angle A is 15/17.

<95141404393>

Given:

39 cups of floor = 6 pizzas

Let's find the number of cups of floor for 1 pizza:

Therefore, to make 1 pizza, 6.5 cups of floor is needed.

From the table, we have:

4 pizzas = 6.5 x 4 = 26 cups of floor

13 cups of floor =

ANSWER:

Floor(cups) Pizzas

39 6

26 4

13 2

Answer:

0.35 per minute

Step-by-step explanation:

Unit means "one"

Only the first one has "per" in it.

Per means "for each"

Hope this helps!

Please mark as brainliest!