Fill in the blanks below in order to justify whether or not the mapping shown represents a function. Set A 5 0 7 Set B -2 9 -1 -3 The mapping diagram above a function since in where there .

The piecewise function f(x) = 1/2 |x| is equivalent to -

1/2 |x| = {- x/2}   {x < 0}

1/2 |x| = {x/2}   {x ≥ 0}

Given is the absolute value function -

f(x) = 1/2 |x|

We can write it as a piecewise function as follows. The given function is as follows :

f(x) = 1/2 |x|

The absolute value function is given as -

|x| = - x   {x < 0}

|x| = x     {x ≥ 0}

So, we can write the piecewise function as -

1/2 |x| = {- x/2}   {x < 0}

1/2 |x| = {x/2}   {x ≥ 0}

Therefore, the piecewise function f(x) = 1/2 |x| is equivalent to -

1/2 |x| = {- x/2}   {x < 0}

1/2 |x| = {x/2}   {x ≥ 0}

To solve more questions on piecewise function, visit the link below -

https://brainly.com/question/12700952

#SPJ1

Answer:

Step-by-step explanation:

Therefore , the solution of the given problem of triangle comes out to be the distance of  the drone from the start point is  13feet.

Given that it has three sides and three vertices, a triangle qualifies as a polygon. It is a fundamental geometric figure. Triangle ABC is the term used to refer to a triangle containing the vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are discovered. Triangles are polygons because they have three sides and three corners. The points where the three sides of the triangle converge are referred to as the triangle's corners. Three triangle angles are multiplied to yield 180 degrees.

Here,

Given : Height of drone  = 5 feet

and  distance of drone covered is 12 feet

Thus ,

to calculate the distance of  the drone from the start point

distance can be represented as H

Since it forms right triangle.

By using pythagoras theorem,

=> 5² + 12² = H²

=> H² = 169

=> H = √169

=> H = 13

Therefore , the solution of the given problem comes out to be the distance of  the drone from the start point is  13feet.

To know more about triangle visit:

https://brainly.com/question/2773823

#SPJ1

Proportion of cars which are yellow -

= 1 - (0.24 + 0.20 + 0.15 + 0.12 + 0.15 + 0.10)

= 1 - 0.96

= 0.04

Answer:

A) 0.04

Step-by-step explanation:

edge 2023

Answer:

Step-by-step explanation:

11 -(-2) x 4

11 + 2 x 4

11 +8

= 19

Answer:

she can fill 3 boxes completely and one book will be left over

Step-by-step explanation:

if a box can be filled with 4 book then we do 4 multiply 3 and then 12 books will can fill 3 box and there is 13 books so 1 book will be left over

Therefore , the solution of the given problem of equation comes out to be x = 11 and y =-9.

The equal letter (=) is used to signify equivalence between the statements in a mathematical formula. Using mathematical equation, which are declarations of reality, it is shown that many mathematical variables are equivalent. For instance, the equal sign in the equation y + 6 = 12 divides the values 12 or b + 6 into two halves. The number of words that each side of a symbol corresponds to can be measured. Typically, a symbol's meaning is at odds with itself.

Here,

Given  :

=> -x-y=-2

=>  5x + 7y= 28

So ,

=>x = 2-y

thus,

=> 5(2-y) + 7y =28

=> 10 -5y + 7y =28

=> 10 -2y = 28

=> -2y = 18

=> y =-9

and

=> x  = 2 - (-9)

=> x  = 11

Therefore , the solution of the given problem of equation comes out to be x = 11 and y =-9.

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

Precipitation (inches), 2.08, 1.98, 2.64, 3.29; Snowfall (inches), 17.6, 14.2, 11.7, 3.4; The Ithaca Climate Page.

Tho learn more about Ithaca climate refer to :

https://brainly.com/question/13930395

#SPJ1

Answer:

point A

Step-by-step explanation:

a) The longest time a borrower can take to pay off the new car loan of 2 - 6 years is 6 years.

b) Based on the above, the best interest rate the borrower could get is 8%.

Many factors are considered in determining the interest rate for a loan.

Some of the factors include:

We know that the longer the term of a loan, the higher the interest rate charged.  This higher rate is meant to compensate the lender for the time value of money, made variable by inflation and credit risks.

Thus, if a loan term varies between two and six years, the longest time to pay off the loan is 6 years while the best interest rate the borrower can be granted is 8%.

Learn more about loan terms and interest rates at https://brainly.com/question/11686424

#SPJ1

Answer:

The answer is 0.30.

I wish you luck in your assignments.

Answer:

0.3

Step-by-step explanation:

Since 5 rounds up, that would cause the 0.09 to become a 0.1, so it would be 0.3

Answer:

Step-by-step explanation:

As she is baking cookies = 3/20

she egave it to her neigbour = 7/20

Remaining = ?

R = 3/20 -7/20 = -1/5

Hi. This is an informal letter .

The body of letter goes like this

Hi friend hope u are enjoying ur life and luck find u in best state of mind. My exam have been over and wanted to share my experience with my near and dear one so I was planning to come to ur place to enjoy my vacationHi. This is an informal letter .

The body of letter goes like this

Hi friend hope u are enjoying ur life and luck find u in best state of mind. My exam have been over and wanted to share my experience with my near and dear one so I was planning to come to ur place to enjoy my vacationHi. This is an informal letter .

The body of letter goes like this

Hi friend hope u are enjoying ur life and luck find u in best state of mind. My exam have been over and wanted to share my experience with my near and dear one so I was planning to come to ur place to enjoy my vacationHi. This is an informal letter .

The body of letter goes like this

Hi friend hope u are enjoying ur life and luck find u in best state of mind. My exam have been over and wanted to share my experience with my near and dear one so I was planning to come to ur place to enjoy my vacation

Answer:

12.57 ft

Step-by-step explanation:

First thing we need to find is the radius of the circular glass pane. We are given the information that the center of the glass plane is directly in the center of the triangle and that the closest distance from the center to the roof is 3 ft, including a metal border with a width of 1 ft.

Since the metal frame is the same width all the way around the window, we can safely conclude that the radius of the circular glass pane is 2 ft, as the 3ft measurement included the radius and the metal frame.

Now that we have our radius we can use the formula:

[tex]C=2\pi r[/tex] (Circumference = 2 x pi x radius)

Using 3.14 for pi we get:

[tex]C=2(3.14)(2)[/tex]

[tex]C=4 \pi[/tex] or 12.57 ft (2.d.p)

Answer:

x + y = -1

Step-by-step explanation:

4 plus -5 is equivalent (equal to) the equation 4 - 5 which equals -1

Answer: 7x+10

Step-by-step explanation:

combine like terms

x+3x+x+2x+2+5+3

7x+10

Answer:

Step-by-step explanation:

Simplification of : x + 2 + 3x + 5 + x + 3 + 2x = 7x + 10

First: find the (x) and collect them, put them in the bracket (to ensure the + or -)

(x + 3x + x + 2x) + 2 + 5 + 3

=  7x + 2 + 5 + 3

Then we add up the numbers

= 7x + 10

This is the end result.

x + 2 + 3x + 5 + x + 3 + 2x = 7x + 10

Learn more about algebra: https://brainly.ph/question/10069564

Answer:

Step-by-step explanation:use a calculator

Answer:

Step-by-step explanation:

-29.8+33.2=3.4

Answer:

It is the first answer,

Step-by-step explanation:

The hypotenuse is always the longest side and opposite of the right angel.  Side b is the adjacent side to J and c is the opposite side of J.

The numeric value of the function d(t) = 12t + 20 at t = 4 is given as follows:

d(4) = 48.

The interpretation of this numeric value is that after a time of 4 hours, Joanna has cycled 68 miles.

The function for this problem is defined as follows:

d(t) = 12t + 20.

The meaning of each variable is given as follows:

The numeric value at t = 4 is obtained replacing the lone instance of t in the function by 4, as follows:

d(4) = 12(4) + 20

d(4) = 48 + 20

d(4) = 68 miles.

Meaning that after a time of 4 hours, the distance cycled by Joanna was of 68 miles.

The function for this problem is defined as follows:

d(t) = 12t + 20.

More can be learned about functions at https://brainly.com/question/24808124

#SPJ1

The value of x is 18.

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

First, both angles shown are equal to each other.

5x + 5 = 95

Next, the opposite side of the equation to isolate x value (5x).

5x + 5 (-5) = 95 (-5)

5x = 90

Finally, we need to divide both sides of the equation by 5.

5x / 5 = 90 / 5

x = 18

The final answer: x = 18

Learn more about equations here;

brainly.com/question/25180086

#SPJ1

Therefore, the probability of drawing "OBJ" from the bowl is (1/11) * (1/11) * (1/11) = 1/1331

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

The study of statistics focuses on gathering, organizing, organizing, analyzing, interpreting, and presenting data. It is customary to start with a statistical population or a statistical model to be researched when applying statistics to a scientific, industrial, or social problem.

The word "mathematics" has 11 letters, so there are 11 letters in the bowl. The probability of drawing the letter "O" is 1/11, since there is only 1 "O" in the 11 letters. Similarly, the probability of drawing the letter "B" is 1/11, and the probability of drawing the letter "J" is 1/11 as well.

Since the events of drawing the letter "O", "B", and "J" are independent of each other, the probability of drawing all three letters in order is the product of their individual probabilities.

Therefore, the probability of drawing "OBJ" from the bowl is (1/11) * (1/11) * (1/11) = 1/1331

It is a very low probability, the chances of drawing that sequence are very low.

To learn more about statistics visit:

https://brainly.com/question/29093686

#SPJ1

Their Customer Acquisition cost was $10

Customer Acquisition Cost is the cost of winning a customer to purchase a product or service. As an important unit economic, customer acquisition costs are often related to customer lifetime value. Customer acquisition cost can also be referred as the fee associated with convincing a customer to buy your product or service.

To calculate customer acquisition cost

Customer Acquisition Cost (CAC) = Customer Acquisition Cost/total marketing cost

From the question,

The business gained 50+100+150= 300 new customers

Campaign budget = $30000

Customer Acquisition Cost (CAC) = $3000/300

=$10

Hence, it cost the business $10 to acquire a new customer

Learn more about customer acquisition cost at: https://brainly.com/question/15325223

#SPJ1

Answer:

Step-by-step explanation:

1 : 4 1/2 :: 8 1/5 : x            proportion

x = (4 1/2)(8 1/5)                product of means/extremes

x = (9/2)(41/5)                   change improper fraction

x = 369/10                         multiply

x = 36.9                              change to decimal

The actual length is 36.9 feet.

Answer:

Monday??????

SteP-by-step explanation:

The equation that justifies  ten to the one third power equals the cube root of ten is ten to the one third power all raised to the third power equals ten to the one third times three power equals ten. Option B

we are to find [tex]10^{\frac{1}{3} } = \sqrt[3]{10}[/tex]

The justification has to be done with the use of the properties of powers as well as roots.

[tex]a^\frac{m}{n} = \sqrt[n]{a^m}[/tex]

then we would have:

[tex]\sqrt[3]{10} = \sqrt[3]{10^1} =10^\frac{1}{3}[/tex]

then we would have

[tex](10^\frac{1}{3} )^3\\\\= 10^\frac{3}{3}[/tex]

= 10

Read more on powers and cube roots herehttps://brainly.com/question/12859104

#SPJ1

Answer:

For the first function, F(pi:3) = sin(2 * pi:3) = sin(6 * pi / 3) = sin(2 * pi) = 0.

For the second function, f(-1) = 3 * -1 - (-1)^2 = -3 + 1 = -2.

Step-by-step explanation:

It looks like you are trying to find the value of two different functions at specific points.

For the first function, F(x) = sin(2x) and x0 = pi:3, we want to find the value of F(x) when x = pi:3. Plugging this value into the function gives us F(pi:3) = sin(2 * pi:3) = sin(6 * pi / 3) = sin(2 * pi) = 0.

For the second function, f(x) = 3x - x^2 and x0 = -1, we want to find the value of f(x) when x = -1. Plugging this value into the function gives us f(-1) = 3 * -1 - (-1)^2 = -3 + 1 = -2.

The probability Richard marker is 11.The probability of anything occurring is known as probability.

The probability of anything occurring is known as probability. To determine probability, divide the total number of possible outcomes by the number of possible ways an event could occur.

The likelihood or chance that a specific event will occur is represented by a probability. Both proportions between 0 and 1 and percentages between 0% and 100% can be used to describe probabilities.

The probability of anything occurring is known as probability. To determine probability, divide the total number of possible outcomes by the number of possible ways an event could occur.

According to question:-

11/1 = 11

11/1 = 11

The probability Richard marker is 11.The probability of anything occurring is known as probability.

To know more about probability visit:

brainly.com/question/24756209

#SPJ1

Answer:

[tex]20\ln(5)-16\approx16.18876[/tex]

Step-by-step explanation:

[tex]\displaystyle\int\int\limits^{}_R {\frac{4x}{1+xy} } \, dA\\\\\\=\int\limits^4_0\int\limits^1_0 {\frac{4x}{1+xy} } \, dy \, dx\\\\\\=\int\limits^4_0 {\ln(1+xy)\biggr|_0^1} \, dx\\\\\\=\int\limits^4_0 {\ln(1+x)} \, dx\,\,\,\,\,\,\,\,\,\,\,\,\bigr(u=\ln(1+x),\,dv=dx\bigr)\\\\\\=4\biggr(x\ln(1+x)\biggr|_0^4-\int\limits^4_0 \frac{x}{1+x} \,dx\biggr)\\\\=4\biggr(4\ln(5)-\bigr[x-\ln(1+x)\bigr]\biggr|_0^4\biggr)\\\\=4\biggr(4\ln(5)-\bigr[4-\ln(5)\bigr]\biggr)\\\\=4\biggr(5\ln(5)-4]\biggr)\\\\=20\ln(5)-16[/tex]

All of the equations which the number 10³ makes true include the following:

B. 0.305 × __ = 305

C. 0.54 × __ = 540

In this exercise, you are required to determine the equations which the number 10³ makes true. This ultimately implies that, we would substitute the number 10³ into each of the given equations as follows;

6.01 × 10³ = 601

By expanding the exponent, we have the following equation:

6.01 × 1,000 = 601

6010 = 601 (False).

0.305 × 10³ = 305

By expanding the exponent, we have the following equation:

0.305 × 1,000 = 305

305 = 305 (True).

0.54 × 10³ = 540

By expanding the exponent, we have the following equation:

0.54 × 1,000 = 540

540 = 540 (True).

0.097 × 10³ = 970

By expanding the exponent, we have the following equation:

0.097 × 1,000 = 970

97 = 970 (False).

Read more on equation here: brainly.com/question/28949611

#SPJ1