determine if its a depicts a function or not

The missing side is [tex]5\sqrt{3}[/tex].

What are basic Trigonometric functions?

The angles of sine,  cosine, and tangent are the primary classification of functions of trigonometry. And the three functions which are cotangent, secant, and cosecant can be derived from the primary functions. Basically, the other three functions are often used as compared to the primary trigonometric functions.

In a Right-angled triangle, the tangent of an angle is equal to the opposite side/adjacent side.

from the given figure,

tan 60° = x/5

[tex]\sqrt{3}=\frac{x}{5}\\ x=5\sqrt{3}[/tex]

Therefore, The missing side is [tex]5\sqrt{3}[/tex].

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The degree of the term with the greatest degree is called the degree of the polynomial.

Here, it is necessary to remember that, by the definition, we can find the "Degree of a polynomial" by identifying the greatest degree of its terms.

The "Leading term" of a polynomial is defined mostly as the term with the highest power of the variable of the polynomial.

The numbers located in front to the variable (those numbers that multiply the variable) are called "Coefficients". The coefficient of the Leading term is known as the "Leading coefficient."

For example, given the following polynomial:

18x² + 2x - 6

You can identify that, in this case:

degree of the polynomial: 2

leading term: 18x²

leading coefficient: 18

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Answer:

see explanation

Step-by-step explanation:

(a)

given m varies directly as n then the equation relating them is

m = kn ← k is the constant of variation

to find k use the condition m = 14 when n = 7

14 = 7k ( divide both sides by 7 )

2 = k

m = 2n ← equation of variation

(b)

when n = 16 , then

m = 2 × 16 = 32

(c)

when m = 30 , then

30 = 2n ( divide both sides by 2 )

15 = n

Vertices :

Edges:

Step-by-step explanation: A vertex is a corner on shape. And edge is a line segment between faces. A face is singular flat surface.

The solution to the equation 3x2 - 30x - 72 = 0 is x = -4 and x = -12.

3x2 - 30x - 72 = 0

3x2 - 30x = 72

3x2 - 24x = 90

3x2 - 24x + 18x = 90 + 18x

3x(x - 8) = 108

x(x - 8) = 36

x = 36 or x = 8

x = -12 or x = -4

The equation 3x2 - 30x - 72 = 0is a second-degree polynomial equation with two solutions. To solve this equation, first use the distributive property to factor out 3x from the first two terms. This yields 3x(x - 8) = 108. Then divide both sides of the equation by 3 to get x(x - 8) = 36. From here, use the quadratic formula to solve for x. This yields x = 36 or x = 8. Since the equation was given in terms of x2, the two solutions are x = -12 and x = -4. To confirm this, substitute these values into the original equation and check that it is true.

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Answer:

**DUE TOMORROW, NEED ANSWER ASAP**

NASA has asked you to evaluate a number of proposals for telescopes. These proposals include information about where the telescope would be built and what wavelengths it intends to observe at. Based only on these factors, evaluate whether NASA should consider funding each proposal. Justify your recommendations. (Some telescopes may have more than one "correct" answer depending on how you justify it).

a.) An ultraviolet telescope in space

b.) An optical telescope in a remote location in Michigan's upper peninsula

c.) A radio telescope in the Mojave desert in Arizona

d.) An x-ray telescope in the Andes mountains in Chile

e.) An optical telescope in space

Step-by-step explanation:

Answer: The tip is $2.90

Step-by-step explanation: 20% of 14.50 is 2.9

Answer:

The data in Set A are skewed left, because the mean is less than the median. The data in set B are symmetrical, because the mean is equal to the median.

Step-by-step explanation:

For prim people, this is the answer I got it right.

The probability that the sample average amount of time taken on each day is at most 11 min:

P([tex]\bar{X_1}[/tex] < 11) =  0.8682

P([tex]\bar{X_2}[/tex] < 11) =  0.8897

We know that the formula for the z-score is:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Let X be the time taken by a randomly selected applicant for a mortgage to fill out a certain form

[tex]\mu_x[/tex] = 10

[tex]\sigma_x[/tex] = 2

Here, five individuals fill out a form on one day and six on another.

This means that the population is the same on both days, but the samples of different sizes.

On Day 1 the average[tex]\bar{X_1}[/tex] ∼Norm(10, 2/[tex]\sqrt{5}[/tex])

We find the probability using z-score.

The probability that the sample average amount of time taken on day 1 is at most 11 min:

P([tex]\bar{X_1}[/tex] < 11)

=[tex]P(\frac{\bar{X_1}-10}{(\frac{2}{\sqrt{5} } )} < \frac{11-10}{(\frac{2}{\sqrt{5} } )})[/tex]

= P(z < 1.118)

= 0.8682

Similarly, on Day 2 the average[tex]\bar{X_1}[/tex] ∼Norm(10, 2/[tex]\sqrt{6}[/tex])

So the probability that the sample average amount of time taken on day 1 is at most 11 min:

P([tex]\bar{X_2}[/tex] < 11)

=[tex]P(\frac{\bar{X_2}-10}{(\frac{2}{\sqrt{6} } )} < \frac{11-10}{(\frac{2}{\sqrt{6} } )})[/tex]

= 0.8897

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The complete question is:

The time taken by a randomly selected applicant for a mortgage to fill out a certain form has a normal distribution with mean value 10 min and standard deviation 2 min. If five individuals fill out a form on one day and six on another, what is the probability that the sample average amount of time taken on each day is at most 11 min?

The probability that the player takes exactly 5 shots before missing one is approximately 0.0539, or 5.39%.

The probability of missing a free throw shot is 0.12, and the probability of making a free throw shot is 0.88 (which is 1 - 0.12).

To find the probability that the player takes exactly 5 shots before missing one, we can use the geometric distribution, which models the number of independent and identical Bernoulli trials needed to get a success.

In this case, a "success" is missing a free throw shot, and the "trials" are the number of shots the player takes before missing one. The probability of success (missing a shot) is p = 0.12, and the probability of failure (making a shot) is q = 0.88. The probability of taking exactly 5 shots before missing one is:

P(X = 5) = q^4 * p

where X is the random variable representing the number of shots the player takes before missing one.

Plugging in the values, we get:

P(X = 5) = (0.88)^4 * 0.12

= 0.0539

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The linear equation that passes through the two given points is:

y = -2x +  4

A general linear equation can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

Particularly, if a line passes through the points (x₁, y₁) and (x₂, y₂) then the slope will be:

a = (y₂ - y₁)/(x₂ - x₁)

Here we know that the line passes through (-1, 6) and (4, -4), then the slope is:

a = (-4 - 6)/(4 + 1) = -2

y = -2x + b

To find the value of b, we can replace the values of any of the points in the equation, if we use (-1, 6) we will get:

6 = -2*-1 + b

6 = 2 + b

6 - 2 = b = 4

The linear equation is y = -2x +  4

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The S = 37.2^0

Below has been attached a diagram with the meaning of this problem. So we have a right triangle whose Opposite side (s) measures 18.9 and whose Adjacent side (r) measures 24.9. So, these two sides are related in the following form:

[tex]tan(S)=\frac{\text{Opposite side}}{\text{Adjacent side}} =\frac{s}{r} \\\\tan(S)=\frac{18.9}{24.9} \\\\tan(S)=0.76\\\\S=arctan(0.76)\\\\S=37.23^o\\\\\text{Roundding off:}\\\\\boxed{S=37.2^o}[/tex]

Therefore, the S = 37.2^0

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The equation to represent the situation where the oldest child is 7 years older than the youngest child, using x for the age of the youngest child and y for the age of the oldest child, is y = x + 7.

If we let x represent the age of the youngest child in a family, then we can say that the oldest child is 7 years older than the youngest child. We can represent the age of the oldest child using the expression "x + 7", because if we add 7 to the age of the youngest child, we get the age of the oldest child.

Therefore, we can write an equation to represent this situation by equating the age of the oldest child to the age of the youngest child plus 7. This can be written as:

x + 7 = Oldest child's age

where x is the age of the youngest child, and "Oldest child's age" represents the age of the oldest child in the family. This equation tells us that if we know the age of the youngest child, we can find the age of the oldest child by adding 7 to it.

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Answer:

$1522.5

Step-by-step explanation:

(7.25 x 15)14

(108.75)14

= 1522.5

Answer:

Step-by-step explanation:

He is now 14 years old because if you minus 21 and 7, it will be 14

Answer:

If your friend says that he will be 21 years old in seven years, then he is currently 21 - 7 = 14 years old.

Step-by-step explanation:

26 possible letters for each of the first two positions and 10 possible digits for each of the last 4 positions gives a total of 676,000,000 license plates.

(1) 26 possible letters for each of the first two positions and 10 possible digits for each of the last 4 positions gives a total of

26 x 26 x 10 x 10 x 10 x 10 = 676,000,000 license plates.

(2) The number of possible license plates where the digits must be different is the number of permutations of 10 items taken 4 at a time, or 10P4 = 5040. Multiplying by 26 x 26 gives a total of

5040 x 26 x 26 = 3,636,160 possible license plates.

(3) To find the number of license plates that begin with "A" and don't have a 7, we first find the number of license plates that start with "A" and don't have any restriction on the last 4 digits. This is

26 x 10 x 10 x 10 x 10 = 676,000

Then, we find the number of license plates that have a 7, which is

9 x 26 x 10 x 10 = 23,760

Subtracting this from the total number of license plates that start with "A" gives us

676,000 - 23,760 = 652,240 possible license plates.

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Answer:

256

Step-by-step explanation:

65% is 208

15% is 48

15% + 65% is 80%

So, just add 48 and 208 together:

48 + 208 = 256

Therefore, 80% of that number is 256.

Answer:

256

Step-by-step explanation:

We know that 65% of a number is 208 and 15% is 48, so we can simply add 208 + 48 to get 256.

Answer:

Step-by-step explanation:

42*2/3=84/3=28

All possible numbers that are co-primes with the following numbers are mentioned below in detail. The possible co-primes of 390 are 1, 7, 11, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, and 49.

Co-prime numbers are pairs of numbers that only share the factor 1 in common. They are additionally referred to as reasonably prime numbers.

In the given question,

(a) 390

The prime factors of 390 are 2, 3, 5, and 13. All of the numbers that are co-prime with 390 are those that do not share any of these prime factors. This includes the numbers 1, 7, 11, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, and 49.

(b) 210

The prime factors of 210 are 2, 3, 5, and 7. All of the numbers that are co-prime with 210 are those that do not share any of these prime factors. This includes the numbers 1, 11, 13, 17, 19, 23, 25, 29, 31, 35, 37, 41, 43, 47, and 49.

(c) 49335

The prime factors of 49335 are 5, 7, 11, and 13. All of the numbers that are co-prime with 49335 are those that do not share any of these prime factors. This includes the numbers 1, 2, 3, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 26, 27, 28, 30, 32, 33, 34, 36, 38, 39, 40, 42, 44, 45, 46, 48, and 49.

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The value of the inverse relation is y'(0) = 1/6

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

The point (1/6,0) is on the curve

The notation (y^-1)' (0) is an inverse notation

Using the above as a guide, we have the following:

(1/6,0) means y(1/6) = 0

This also means that

y'(0) = 1/6

Hence, the solution is 1/6

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Answer:a=3, d=common difference=3, a2=7, a3=9

Step-by-step explanation:

firstly we have given a,d  (using the arithmetic progression formula)

                                          (  an=a+(n-1) )

so we have made a sequence a2=a+d=7  

                                                   a3=a+2d=9

Answer: are have a raztation speed of 20 rotation a min

Step-by-step explanation:W anwer

Answer:

D

Step-by-step explanation:

f(x)=20 cos (pi/5x + pi/2)+25

Answer:

Step-by-step explanation:

Dont cheat on your homework

the angle between the vectors is: θ = cos⁻¹ (- 12 / √145)

A quantity or phenomena with independent directions and magnitudes is called a vector. The word can also refer to a quantity's mathematical or geometrical representation. Science uses vectors to express everything with a direction and a magnitude. They are typically shown as pointed arrows, with the length of the arrow representing the magnitude of the vector.

Let, a(vector) = < -1, -2 >

a(vector) = -i -2j

||a(vector)|| = √(-1)² + (-2)² = √5

b(vector) = < -2, 5 >

b(vector) = -2i + 5j

||b(vector)|| = √(-2)² + (5)² = √29

Next, a(vector) . b(vector) = (-i -2j) . ( -2i + 5j)

a(vector) . b(vector) = (1 × (-2)) + (-2 × 5) = - 12

Thus, angle between these two vectors:

cosθ = a(vector) . b(vector) / ||a(vector)|| . ||b(vector)||

cosθ = - 12 / (√5 . √29)

cosθ = - 12 / √145

θ = cos⁻¹ (- 12 / √145)

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Answer:

5 Minutes and 56 Seconds

Step-by-step explanation:

Manjit= 1 Minute and 32.4 Seconds

Pierre = 1 Minute and 26.7 Seconds

Safia = 1 Minute and 25.1 Seconds

Chen = 1 Minute and 31.8 Seconds

4 X 1 Minute = 4 Minutes

32.4 + 26.7 +25.1 +31.8 = 116 or 1 Minute and 56 Seconds

Therefore, the answer is 5 Minutes and 56 Seconds

a) The histogram for the data is illustrated below.

b) The cumulative percentage polygon is define in the histogram

c) The amount does the monthly electricity cost seem to be concentrated is 128 - 152

A histogram is a graphical representation of a frequency distribution. It consists of a set of bars that represent the frequency of data within certain intervals, also known as bins. The height of each bar represents the frequency or count of data points that fall within that bin.

To create a histogram for the electricity cost data, we need to first decide on the number and size of the bins. One common rule is to choose the number of bins as the square root of the sample size. In this case, we have 50 data points, so we can choose about 7 bins. The size of the bins can be determined by dividing the range of the data by the number of bins.

Once we have determined the number and size of the bins, we can create the histogram by drawing a set of bars with heights proportional to the number of data points that fall within each bin. The histogram can be further enhanced by adding labels for the x and y-axes, a title, and a legend.

As per the histogram, the amount does the monthly electricity cost seem to be concentrated is 128-152

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The solution of the system of equations is (5, 2).

Here we want to solve the system of equations:

-3x + y = -13

4x - 2y = 16

By the elimination method.

If we take the first equation and we multiply it by 2, we will get:

2*(-3x + y) = 2*-13

-6x + 2y = -26

Now we can add the two equations to get:

(-6x + 2y) + (4x - 2y) = -26 + 16

-2x = -10

x = -10/-2

x = 5

And the value of y is given by evaluating one of the equations in x = 5, using the first one.

-3*5 + y = -13

-15 + y = -13

y = 15 - 13 = 2

The solution is (5, 2)

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Answer:

In 1 hour run:

4 4/5 miles

Step-by-step explanation:

2 4/5 = 2 + 4/5 = 10/5 + 4/5 = (10+4)/5 = 14/5

Proportions:

14/5 miles ⇒ 7/12 hour

A miles ⇒ 1 hour

A = (14/5 miles)(1hour) / (7/12 hour)

A = (14/5)/(7/12)

A = (14*12) / (5*7)

A = 168 / 35

A =  140/35 + 28/35

A = 4 + 28/35

A = 4 + 4/5

A = 4 4/5 Miles