2 5 Evan mixed 2 pounds of nuts with 1 pounds of 3 6 7 raisins and 1 pounds of chocolate chips. How many 8 pounds did this mixture weigh? 1 3 24 B. © 6 6 3 6

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable)

For the ordered pairs given, we have inputs and outputs as shown below

The values of the input should be unique

Checking all the options given,

The pair (4,2) when added to the pairs will not make the relation a function because

4 will have two

To solve this question, we just need to evaluate our set of points in the standard form equation of a Hyperbola, and find the coefficients. This will give to us the equation for our Hyperbola. The standard form is

Let's start with the easier points, the x-intercepts (5, 0) and (-1, 0).

Since this hyperbola has two x-intercepts, we're dealing with a horizontal hyperbola, and the center is the midpoint between the x-intercepts.

The center coordinates are (2, 0), then, our equation is

To find the missing coefficients, we can just substitute the remaining points and solve the system for a and b. Our final equation is

The only valid pair is B.

To determine this we need to remember that the input is the value of x and the output is the value of y.

For the input 4, that is x=4, the graph passes through the output is 5, that is y=5. This means that the graph passes through the point (4,5).

Given:

14x + 2y = 10

y + 7x = -5

Required:

To tell which option is correct

Explanation:

14x + 2y = 10

y + 7x = -5

the given two lines intersect each other

Required answer:

Option C

REQUIRED:

We are required to convert an angle measure of 2 radians into degrees.

Step-by-step solution;

First thing to note is that the formula for conversion from radians to degrees is an inverse of degrees to radians. The formula for conversion is;

For the angle given as 2 radians, we now have;

ANSWER:

To find:

The graph of quadrilateral ABCD and its translation.

Solution:

Plot the points A(−4,1) B(−3,3) C(0,1) D(−2, 0) on the graph and join the points.

The translation is (x,y)→(x+4, y−2). So, the image after translation is given below:

Answer:

A linear equation is always of the form:

y = mx + c

Where m = the slope

and c = the intercept

The equation given is y = 2x + 4

and it takes the form y = mx + c

where m = 2 and

c = 4

Therefore, the equation y = 2x + 4 is a linear equation

Answer:

  D.  All real numbers are either rational or irrational.

Step-by-step explanation:

You want to know the true statement about the sets of rational, irrational, integer, and whole numbers.

A rational number is one that can be written as the ratio of two integers. All integers and whole numbers are rational, but not all rational numbers are integers.

  3 = 3/1 . . . . an integer that is written as a rational number

  1/2 . . . . . . . a rational number that is not an integer

An irrational number is a number that cannot be written as a ratio of two integers. √2 is an example of an irrational number. Its decimal representation has a fractional part that is never-ending and never-repeating.

The decimal part of any real number either terminates, repeats, or neither. If the number terminates or repeats, it is a rational number. If it doesn't, then it is an irrational number.

  D.  All real numbers are either rational or irrational.

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Answer:

9

Step-by-step explanation:

12 + 24 = 36

6 * 3 = 18

36 = 18 = ?

Well, 18 is 1/2 of 36, so the next sequence would be 1/2 of 18, which is 9.

I'm not quite sure that this would be correct, just because I have no more context.

From the problem, the length and the width will be reduced by twice the side of the square.

The length of the box will be :

The width of the box will be :

and the height will be the measurement of the square side :

Note that the volume of a box is length x width x height.

1. The volume will be :

Expand and simplify the function :

2. Graph the function using desmos.

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

Step 02:

We must apply algebraic properties.

x = 168 / 14

x = 12

The answer is:

x = 12

Quotient:

Remainder:

Result:

The area of a parallelogram can be determined by multiplying its height by its base following the formula:

If you know the area and the height of the parallelogram you can determine the length of the base. To do so, you have to divide the area by the height:

We know that the area of the window is A=31ft² and the height is h=33ft, you can calculate the length of the base as follows:

We are asked to determine the area of the given figure. The figure is composed of two semi-circles and a rectangle, therefore, the total area of the figure is:

The area of the semicircle is given by:

Where "D" is the diameter. Replacing the values we get:

Solving the operations:

Now we determine the area of the rectangle using the following formula:

Where "w" and "h" are the dimensions of the rectangle. Replacing the values we get:

Now we replace the values in the formula for the total area:

Solving the operations:

Let's denote by x = the number of events.

and let's denote by y = the dollars raised.

Because the dollars raised to depend on the number of events, we can say that the dependent variable is y, and the independent variable is x. Now, we have the following data:

first event: 1, and the dollars raised is 230. That is, our first point is:

second event: 2, and the dollars raised is 230 + 30. That is, our second point is

Now, let's calculate the slope of the graph:

that is equivalent to say:

The equation for a line is y = mx + b. Now, let's calculate b

y = mx + b

so

b = y- mx

but m = 15, so the previous equation is equivalent:

b = y - 15x

if we choose the point (x,y) =(1,230) and we replace it in the previous equation we have:

b = 230- 15(1) = 230 - 15 = 215.

So, our equation of the line is :

y = 15x + 215

if x = 10 events we have :

y = 15(10) + 215 = 365 dollars

then, to the question: how much money will be raised after 10 events?, the answer is 365 dollars.

The angle of depression and angle P are alternate interior angles, then:

∠P = 43°

By definition:

tan(angle) = opposite/adjacent

In this case,

tan(43°) = 550/d

d = 550/tan(43°)

d = 590 ft

Answer:

Explanation:

Given the below expression;

Let's go ahead and simplify the expression as shown below;

The expression for the area enclosed between the two squares with respect to the rotation angle α is

(α/90)a².

A Square is a two-dimensional figure that has four sides and all four sides are equal.

The area of a square is given as side²

We have,

Side of the square = a

Area of the square = a²

The full angle that can be rotated is 90°.

Now,

The area enclosed if the angle is 90°.

= a²

We can write as,

The area enclosed in terms of the angle.

= (angle rotated / 90) x side²

= (angle rotated / 90) x a²

Now,

The angle rotated is α.

The area enclosed is (α/90)a².

Thus,

The expression for the area enclosed between the two squares with respect to the rotation angle α is

(α/90)a².

Learn more about squares here:

https://brainly.com/question/22964077

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Answer:

Assuming the scale of the graph is 1, the range would be just -1

Step-by-step explanation:

The graph is just a single horizontal line, so the range (what y can be) will always be that one constant. It appears that the scale of the graph is by 1s, so the Range would be -1

Take into account that the scores are three even consecutive numbers. Being x a missing value we can write:

2x, 2(x+1), 2(x+2), 2(x+3)

where each of the previous expressions corresponds to the score of Velasquez, Migule, Juan and Pablo respectivelly.

Now, due to the sum of all scores are 36 point, we can write:

2x + 2(x+1) + 2(x+2) + 2(x+3) = 36

By applying distribution property left side and by ordering like terms we get:

2x + 2x + 2x + 2x + 2 + 4 + 6 = 36

8x + 12 = 36

Now, by subtracting 12 both sides, simplifying and dividing by 8 we obtain:

8x = 36 - 12

8x = 24

x = 24/8

x = 3

Then, we can replace the previous value into the expression which represents Juan score:

2(x + 2) = 2(3 + 2) = 2(5) = 10

Hence, Juan scored 10 points (option D)

The equation is given as

To find the coordinates of the function.

Draw the table for x and y coordinates.

The graph of the function is as drawn

The other two coordinates of the equation in the grid [-10,10] by [-10,10] is

Down Payment = 3900

Loan Amount - 15,300 - 3900 = $11,400

Total Paid on Loan = $252.34 (monthly) for 4 years (4 x 12 = 48 months).

So, he paid

So, total amount Tony paid for the car is "downpayment (3900) + loan amount with interest (12,112.32)".

So,

Answer: $16,012.32

The interest is the excess amount on the loan.

Loan amount = $11,400

Loan + Interest amount = $12,112.32

Thus, the interest amount is 12,112.32 - 11,400 = $712.32

Answer: $712.32

Which fraction and decimal forms match the long division problem? 15) 4.000 301 1 00 90 100 90 A. and 0.26 15 В. 15 and 0.26 C. and 0.26 15 15 and 0.266​

we have

4/15=0.26666

so

the answer is

Solution

Step 1

Write the inverse function:

Step 2

Final answer

We can write the quotient as:

We can use the fact that:

to transform the quotient into a multiplication.

If b=1/3, then 1/b=3/1.

Then the expression becomes:

The fraction 5/2 can be expressed as mixed number as:

Answer: the result is 2 1/2 or 2.5.

The quotient becomes the multiplication 5/6 * 3.

[Option A]

a) P = 180,000cents

b) FV = 298,418cents

c) I = 118,418cents

d) r = 0.003375

e) n = 12

f) t = 15 years

a) P is the principal in the given question. The principal can be the amount invested or borrowed.

According to the question, the amount invested is $1,800.00, hence the principal P is $1,800 which is equivalent to 180,000cents to the nearest cents

b) The future value is the amount after 15 years of investing the money. According to the question, Sandra earned a total interest of $1,184.18 after 15 years.

Future value = Principal + Interest

Future value = $1,800.00 + $1,184.18

Future value = $2,984.18

Hence FV to the nearest cent is 298,418cents

c) Given the total interest of $1,184.18

Convert to nearest cents

I = 1,184.18 * 100

I = 118,418cents

d) r is the rate in percentage. From the question the rate in percent is

3 3/8 %

Convert to decimal

e) n is the time of compounding. From the question, we are told that amount invested was compounded monthly. Since there are 12 months in a year, hence the value of n is 12.

f) "t" is the time taken by Sandra to invest $1,800 to earn the given interest. From the question, the time it takes is 15 years. Hence;

t = 15 years

Answer:

13.3

Explanation:

To calculate the mean number of movies, use the formula below:

Substituting the data gives:

The mean number of movies that the students saw is 13.3 (correct to the nearest tenth).

We need to find the midpoint of a segment HX given the endpoints:

H = (4.5, -4.25) and X = (3.25, -2.75)

where we have written the coordinates (initially in mixed number form) in decimal form for ease of handling operations.

4 1/2 = 4.5

-4 1/4 = -4.25

etc.

Now we apply the formula for the midpoint (in the x and y coordinates separately):

x coordinate of midpoint = (4.5 - 3.25)/2 + 3.25 = 3.875

y coordinate of midpoint = (-2.75 - (-4.25))/2 + (-4.25) = -3.5

So we can write the coordinates of themidpoint as:

(3.875, -3.5) or in mixed number form as: (3 7/8, -3 1/2)

Explanation

A simple event is one that can only happen in one way - in other words, it has a single outcome.

A compound event is more complex than a simple event, as it involves the probability of more than one outcome.

Getting a spade card is a simple event

Also, Getting a numbered card is a simple event

Getting an ace