Is the following relation a function? x y 1 4 −1 −2 3 10 5 16 a Yes b No

Using a calculator, we can calculate sin 84° right away by typing it there and the answer would be:

sin 84° = 0.9945218954

Since the question is asking us to round it to the nearest hundredth, meaning two places after the decimal, the answer will be 0.99.

Answer:

I've heard of him skkcosoqozox

Answer:

I know about corpse

Step-by-step explanation:

But not the pi part

So, if we have the original coordinates of point G, we can swap the x and y values and negate the new y-value to find the coordinates of point G after a 90° counterclockwise rotation about the origin.

To perform a 90° counterclockwise rotation about the origin, we can use the following transformation:

x' = -y

y' = x

This means that the new x-coordinate (x') will be the negative of the original y-coordinate (y), and the new y-coordinate (y') will be the original x-coordinate (x).

If we have the coordinates of point G, we can apply this transformation to find the new coordinates after the rotation.

Let's say that the coordinates of point G are (x, y). Then, the new coordinates (x', y') after the rotation will be:

x' = -y

y' = x

So, the new coordinates will be (-y, x). Therefore, if we want to find the new coordinates after a 90° counterclockwise rotation, we just need to swap the x and y values and negate the new y-value. This gives us the following coordinates for point G after the rotation:

G' = (-y, x)

To know more about  coordinates

https://brainly.com/question/17206319

#SPJ9

the base is 20 ft so the triangular base is 69 feet.

Image and dimension of each bottle is attached

Answer:

Cyclinder = 572.56 cm³

Sphere = 381.70 cm³

Cone = 190.86 cm³

Step-by-step explanation:

Here, the manager ordered for three different shapes, which are: a sphere, cylinder and a cone. We are told to find the volume of each.

For the cylinder:

Given:

Radius, r = 4.5 cm

Height, h = 9 cm

The formula for calculating the volume of a cylinder is:

V = Base * height

Where base = πr²  

= π * 4.5² = 63.62

Therefore,

V = 63.62 * 9

V = 572.56 cm³

For sphere:

Given:

Radius, r = 4.5 cm

Formula for volume of a sphere is:

\( V = \frac{4}{3} * \pi r^3 \)

\( = \frac{4}{3} * \pi 4.5^3 \)

= 381.7 cm³

For cone:

Given:

Radius, r = 4.5 cm

Height, h = 9 cm

The formula for calculating the volume of a cone is:

V = ⅓ * Base * height

Where base = πr²  

= π * 4.5² = 63.62

Therefore,

V = ⅓*63.62 * 9

V =  190.86 cm³

Therefore the volume of perfume each bottle can carry is:

Cyclinder = 572.56 cm³

Sphere = 381.7 cm³

Cone = 190.86 cm³

Answer: h>7

Step-by-step explanation:

By 3 pm they have sold 125 glasses, and they need 300 total, so they need to sell 175 glasses more. At 25 glasses an hour, divide 175 by 25 to find the number of hours, which is 7. So they will need to be open for over 7 more hours to sell more than 300 glasses.

Answer:

C. h>7

Step-by-step explanation:

The fruit and juice bar sold 125 glasses of fruit punch by 3 p.m. To reach their goal of selling more than 300 glasses of fruit punch, they need to sell an additional 300 - 125 = 175 glasses of fruit punch.

We know that they sell 25 glasses of fruit punch per hour. Let's represent the number of hours they need to stay open past 3 p.m. as h. The total number of glasses of fruit punch they sell in h hours is 25h.

We need to find the value of h that satisfies the following inequality:

25h > 175

Dividing both sides by 25 gives us:

h > 7

Therefore, the fruit and juice bar needs to stay open for more than 7 hours past 3 p.m. to sell more than 300 glasses of fruit punch. The answer is option C: h > 7.

The two functions f(x) and g(x) are f(x) = √x and g(x) = x - 3

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

h(x) = sqrt(x - 3)

(f ∘ g)(x) = h(x)

This means that

(f ∘ g)(x) = sqrt(x - 3)

Rewrite the above equation properly

So, we have the following representation

(f ∘ g)(x) = √(x - 3)

The function (f ∘ g)(x) is calculated as

(f ∘ g)(x) = f(g(x))

So, we have

f(g(x)) = √(x - 3)

This means that

f(g(x)) = √g(x)

By comparison. we have

g(x) = x - 3

f(x) = √x

Hence, the functions are f(x) = √x and g(x) = x - 3

Read more about composite functions at

https://brainly.com/question/10687170

#SPJ1

You are c) a structure. A structure is a collection of one or more different types of variables, including arrays and pointers, that have been grouped under a single name for each manipulation.

A structure is a user-defined data type that allows you to group together related data. For example, you could create a structure to store the name, age, and address of a person. The structure would have three variables, each of a different type: a string variable for the name, an integer variable for the age, and a string variable for the address.

The advantage of using a structure is that it allows you to treat the related data as a single unit. This makes it easier to manipulate the data and to pass the data to functions.

The other answer choices are incorrect. A template is a blueprint for creating a generic class or function. An array is a collection of elements of the same type. Local variables are variables that are declared within a function and that are only accessible within the function.

To learn more about integer variable click here : brainly.com/question/11873770

#SPJ11

Answer:

Step-by-step explanation:

Option D is the correct answer

8 + D = 43

Answer:

The last one

Step-by-step explanation:

8 - (-d) = 43 is the same as 8 + d = 43

\(y = 5(3) {}^{x} \)

Answer:100000

Step-by-step explanation:i looked it up

First let's calculate the exponents.

\(27^2 : 729 = 9-1\div \:2\div \:729\div \:3\)

Now we should multiply and divide.

\(1\div2\div729\div3:\frac{1}{4374} = 9-\frac{1}{4374}\)

Now we should add and subtract.

\(9-\frac{1}{4374} :\frac{39365}{4374} = \frac{39365}{4374}\)

Convert the improper fractions into mixed numbers.

\(8\frac{4373}{4374}\)

Answer :

\(8\frac{4373}{4374}\)

After solving the given expression the value obtained is 59 × 87 × 1/100. Hence, option A is correct.

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the given data in the question,

The expression is given as:

5.9 × 8.7

The number 5.9 can be written as 59/10 and,

The number 8.7 can be written as 87/10.

So,

The number after multiplication will be:

59/10 × 87/10

⇒ 59 × 87 × 1/100

To know more about arithmetic operations:

https://brainly.com/question/25277954

#SPJ2

The system of equations is consistent and has a unique solution at (-4, 1).

To solve the system of equations by graphing, we can plot the lines represented by each equation on a coordinate plane and find their point of intersection.

The given system of equations is:

1) 3x + y = -3

2) 6x - 6y = -30

Let's graph these equations:

For equation 1, 3x + y = -3, we can rewrite it as y = -3x - 3.

For equation 2, 6x - 6y = -30, we can simplify it to x - y = -5, and then y = x + 5.

Now, let's plot these lines on a graph:

The line for equation 1, y = -3x - 3, has a slope of -3 and y-intercept of -3. It will have a negative slope, and we can plot two points on the line: (0, -3) and (-1, 0).

The line for equation 2, y = x + 5, has a slope of 1 and y-intercept of 5. We can plot two points on this line as well: (0, 5) and (-5, 0).

Plotting these lines on a graph, we can see that they intersect at the point (-4, 1).

Now, let's analyze the system:

Since the lines intersect at a single point, the system is consistent. The solution to the system is the coordinates of the point of intersection, which is (-4, 1).

In summary, the system of equations is consistent and has a unique solution of x = -4 and y = 1.

To know more about system of equations, refer here:

https://brainly.com/question/21620502

#SPJ4

Answer:

A. angle GFE

Step-by-step explanation:

The angle is less than 90 degrees.

Meg has drive 390 miles to visit Grandma.

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are Given Number of miles Kristen drive = 65 miles

Rebecca drives two times as far as Kristin. Then Meg drives twice as far as Kristin and Rebecca combined

This means Number of miles Meg drive is equal to twice the number of miles driven Kristin .

Then equation we get;

Number of miles Meg drive = 2 × Number of miles Kristin drive =

Number of Miles Driven by Rebecca is equal to twice the sum of Number of miles Kristin drive and Number of miles Meg drive.

Then equation we get;

Number of miles Meg drive = 2 × (Number of miles Susie drive + Number of miles Meg drive) =

Hence Meg has drive 390 miles to visit Grandma.

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ1

(a) The probability mass functions for X and Y are plotted using bar graphs.
(b) The probability distribution functions for X and Y are plotted using step functions.

Given that a fair coin is tossed four times. Let X be the random variable defined as the number of heads obtained minus the number of tails. Let Y be the indicator random variable of the event that the first 3 tosses are tails.

(a) Plotting the probability mass functions:

For X, we can find all the possible values of X by adding or subtracting the number of heads and tails obtained in the four tosses. Then, we can calculate the probability of each value using the binomial distribution formula. The resulting probabilities can be plotted using a bar graph to obtain the probability mass function for X.

For Y, we can calculate the probability of Y being equal to 0 or 1 using the binomial distribution formula. The resulting probabilities can be plotted using a bar graph to obtain the probability mass function for Y.

(b) Plotting the probability distribution functions:

For X, we can find the cumulative distribution function by adding the probabilities of all the possible values of X up to a certain point. Then, we can plot the probability distribution function using a step function.

For Y, the probability distribution function is the same as the probability mass function since Y can only take on the values of 0 or 1. We can plot the probability distribution function using a step function as well.

To learn more about binomial distribution

https://brainly.com/question/29137961

#SPJ11

AB and YX are corresponding sides, BC and XZ are corresponding sides, and AC and YZ are corresponding sides of given triangle.

What is triangle?

A triangle is a two-dimensional geometric shape that has three sides, three angles, and three vertices. It is one of the simplest polygonal shapes and is commonly studied in geometry.

Since we have:

∠A ≅ ∠Y

∠B ≅ ∠X

∠C ≅ ∠Z

We can conclude that the two triangles ABC and XYZ are similar by the Angle-Angle (AA) similarity theorem.

Therefore, the corresponding sides of the two triangles are proportional to each other. We can write this as:

AB : YX = BC : XZ = AC : YZ

where AB and YX are corresponding sides, BC and XZ are corresponding sides, and AC and YZ are corresponding sides.

In other words, the ratio of the length of each side in triangle ABC to the corresponding side in triangle XYZ is constant.

To learn more about triangle visit:

https://brainly.com/question/1058720

#SPJ9

Answer:350 Trouts

Step-by-step explanation:To determine the number of trouts the conservationist expect to be in the lake, you add 120+120 that equal to 240.Then you add 240+40 that equals to 284.Then you add 284+44 that equals to 328.Then you add 328+11 that equals to 339.Finally, you add 339+11 to get your answer:350.

Answer:solve for x

x>3

Step-by-step explanation: 12x<9(2x−3)+9

Use the distributive property to multiply 9 by 2x−3.

12x<18x−27+9

Add −27 and 9 to get −18.

12x<18x−18

Subtract 18x from both sides.

12x−18x<−18

Combine 12x and −18x to get −6x.

−6x<−18

Divide both sides by −6. Since −6 is negative, the inequality direction is changed.

x>

−6

−18

​

Divide −18 by −6 to get 3.

x>3

Answer:

a^2-16

Step-by-step explanation:

you just a.a+a.-4+4.a+4.-4=a^2-16

Answer:

\(Arc \ length = 2\pi r\frac{\theta}{360} =2\pi 5\frac{30}{360} =10\pi \frac{1}{12} =\frac{5}{6} \pi =2.62units\)

An appropriate statement of the null hypothesis, H₀ is that: A. The proportion of contaminated wrist-watches from medical personnel is the same as the proportion of contaminated wrist-watches from security guards, i.e., H0: p = 46.6%.

In Mathematics, a null hypothesis (H₀) can be defined the opposite of an alternate hypothesis (Ha) and it asserts that two (2) possibilities are the same.

For an experiment to test the contamination of medical personnel wrist-watches at a New York hospital, the appropriate null hypothesis and alternative hypothesis would be given by this mathematical expression:

H₀: p = 10.

Ha: p < 10.

In this context, we can logically that the proportion of contaminated wrist-watches would be the same for both sample proportion i.e., H₀: p = 46.6%.

Read more on null hypothesis here: https://brainly.com/question/14913351

#SPJ1

There are 17 hops in a hop, a skip, and a jump.

We have the relations:

How many hops are in a hop, a skip and a jump?

So we have:

1 hop + 1 skip + 1 jump.

First, using the second relation we rewrite:

1 hop + 1 skip + 3 skips = 1 hop + 4 skips.

Now, using the first relation:

1 hop + 4 skips = 1 hop + 4*(4 hops) = 1 hop + 16 hops = 17 hops.

There are 17 hops in a hop, a skip, and a jump.

If you want to learn more about changes of units:

https://brainly.com/question/9032119

#SPJ1

28) The constant of proportionality is (k = 2)

29) x and y do not change in the same way

30) The constant of proportionality (k = 5/xy)

x = 2y shows direct variation because as x increases, y also increases and as x decreases, y also decreases. The constant of proportionality, also known as the "k" value, is 2, it represents the ratio of x to y. (k = 2)

y - x = 6 does not show direct variation because the relationship between x and y is not constant, x and y do not change in the same way.

xy = 5 shows direct variation because as x increases, y also increases and as x decreases, y also decreases. To find the constant of proportionality, we can divide both sides by xy.

k = 5/xy

In this case, the constant of proportionality is not a fixed value, it is a variable depending on the values of x and y. It represents the ratio of xy to the product of x and y.

To know more about constant of proportionality visit: https://brainly.com/question/22620356

#SPJ1

(a) The number of arrangements that contain consecutive P's is 40.

(b) The number of arrangements that do not contain consecutive N's or consecutive P's is 2,176,280.

a. To determine the number of arrangements that contain consecutive P's, we can treat the consecutive P's as a single entity. So, we have 10 letters to arrange, which are ANNA, P, A, P, A, P, A, Y, and A.

Let's consider the consecutive P's as one letter. So, we have 8 distinct "letters" to arrange: ANNA, PP, A, A, A, Y, and A.

The number of arrangements of these 8 "letters" is 8!.

However, within the consecutive P's (PP), the two P's can be arranged in 2! ways.

So, the total number of arrangements is 8! * 2! = 40 * 2

= 80.

Therefore, there are 40 arrangements that contain consecutive P's.

b. To determine the number of arrangements that do not contain consecutive N's or consecutive P's, we need to consider the possible patterns.

Let's consider the letters ANNA, P, A, P, A, P, A, Y, and A as distinct entities.

The patterns that we need to exclude are:

NN (consecutive N's)

PP (consecutive P's)

First, let's count the total number of arrangements without any restrictions. We have 10 distinct letters, so the number of arrangements is 10!.

Now, let's count the number of arrangements that contain consecutive N's. We can treat the consecutive N's as a single entity, so we have 9 distinct "letters" to arrange: ANNA, P, A, P, A, P, A, Y, and A.

Within the consecutive N's (NN), the two N's can be arranged in 2! ways.

So, the number of arrangements with consecutive N's is 9! * 2!.

Similarly, let's count the number of arrangements that contain consecutive P's. We can treat the consecutive P's as a single entity, so we have 9 distinct "letters" to arrange: ANNA, PP, A, A, A, Y, and A.

Within the consecutive P's (PP), the two P's can be arranged in 2! ways.

So, the number of arrangements with consecutive P's is 9! * 2!.

To count the number of arrangements that do not contain consecutive N's or consecutive P's, we subtract the arrangements with consecutive N's and the arrangements with consecutive P's from the total number of arrangements without any restrictions:

Total arrangements without restrictions = 10!

Arrangements with consecutive N's = 9! * 2!

Arrangements with consecutive P's = 9! * 2!

Number of arrangements without consecutive N's or consecutive P's

= Total arrangements without restrictions - Arrangements with consecutive N's - Arrangements with consecutive P's

Number of arrangements without consecutive N's or consecutive P's

= 10! - (9! * 2!) - (9! * 2!)

Number of arrangements without consecutive N's or consecutive P's

= 3,628,800 - (362,880 * 2) - (362,880 * 2)

Number of arrangements without consecutive N's or consecutive P's

= 3,628,800 - 725,760 - 725,760

Number of arrangements without consecutive N's or consecutive P's

= 2,176,280

Therefore, there are 2,176,280 arrangements that do not contain consecutive N's or consecutive P's.

(a) The number of arrangements that contain consecutive P's is 40.

(b) The number of arrangements that do not contain consecutive N's or consecutive P's is 2,176,280.

To know more about distinct entities, visit

https://brainly.com/question/3521921

#SPJ11

Answer:KIH=18

Step-by-step explanation:

4x+3+4x+3=12x

X=1.5

4(1.5)+3=9

4(1.5)+3=9

12(1.5)=18

In this scenario, Calvin could obtain information by informally observing the members of his intended audience. Option d is the correct answer.

Observing people is a method of obtaining information or data, which is known as primary data. It can be in the form of watching, listening, or recording people's behavior, actions, and mannerisms, among other things. This technique may be employed in both quantitative and qualitative research.

Researchers often utilize observation methods to assess the general attitude of the intended audience because this method is discreet, and people tend to behave naturally when they are not aware they are being watched. Therefore, observing the intended audience without informing them is the best option to get the general attitude of the members of his intended audience without asking them directly.

A school-wide survey, reviewing statistical data on the internet, and asking a representative sample are also techniques of obtaining data. But, they are not suitable for this situation. A survey can only be useful if the questions asked are not biased or leading.

Therefore, it may not provide the required information. Reviewing statistical data on the internet is not specific to the intended audience. A representative sample is not specific to the intended audience and may not be representative of their attitudes.

Learn more about statistical data here:

https://brainly.com/question/11969248

#SPJ11