Help? Sampling

A toy bin has twenty toys in it, five of each type. Storm wants to know which type of toy he would pick if he pulled out one.

Which of the following would be the most appropriate sampling technique?
A. He could use a spinner with four equal-sized sections, one for each toy.

B. He could make a chart to show all of the toys that other people pulled out. <<?

C. He could use a spinner with five equal-sized sections, one for each toy.

D. He could use a random number generator with the total number of toys as the top number.

Answers

Answer 1

Answer:

Option (C) is correct choice.

Explanation:

The most appropriate sampling technique for Storm to determine which type of toy he would pick from the bin is option C. He could use a spinner with five equal-sized sections, one for each type of toy.

Option A (using a spinner with four equal-sized sections) does not accurately represent the distribution of toys in the bin, as there are five types of toys.

Option B (making a chart of toys that other people pulled out) relies on the data from others and does not involve Storm directly selecting a toy.

Option D (using a random number generator) is not as straightforward and intuitive as directly selecting a toy from the bin.

Therefore, option C provides Storm with a fair and simple method to randomly select one type of toy from the bin.


Related Questions

A pearl is formed in one of every 10,000 oysters what percent of oysters make pearls

Answers

if a pearl is formed in 1 of every 10,000 oysters, then it would look like this

1/10000

this is equal to 0.0001

moving the decimal point 2 points to the right, you would get

0.01%
percent means parts out of 100
x%=x/100

1 in 10000
1/10000=x/100
times both sides by 100
100/10000=x
1/100=x
0.01=x

0.01% of all oysters make perls

rewrite 7/11 as a division problem

Answers

it would be 7 divided by 11( note: always divide the top by the bottom)

Which sequence of transformations will result in an image that maps onto itself?

Answers

The correct transformation to get result in an image that maps onto itself will be;

''Reflect over the y axis and then reflect again over the y axis''.

What is Translation?

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

The statement is,

'' A sequence of transformations will result in an image that maps onto itself''.

Now,

Since, We know that after two reflections over the same axis we get the original image.

Thus, we get;

The correct transformation to get result in an image that maps onto itself will be;

''Reflect over the y axis and then reflect again over the y axis''.

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simplify 6√1,000m^3n^12

Answers

The simplified expression is 60mn⁶.

What is factorization?

Factorization is a process to simplify the expression by finding the factors of that expression.

And to find the same expression from factors, you have to reverse the process.

Given that the expression is 6√1,000m³n¹².

We can simplify this expression by breaking down 1,000 into its prime factorization:

1,000 = 2³ x 5³

Then we can rewrite the expression as:

6√(2³ x 5³ x m³ x n¹²)

Using the properties of radicals, we can separate the factors inside the radical:

6√2³ x √5³ x √m³ x √n¹²

Simplifying each square root term:

6 x 2 x 5 x m x n⁶

= 60mn⁶

Therefore, the simplified expression is 60mn⁶.

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In early spring, you are wanting to purchase 6 potted rose plants. The plants to choose from come in 8-inch pots that sell for $12 and 10-inch pots that sell fro $15. If you spend $78, which of the following are the equations for this scenario? Let x= number of 8 inch pots and let y = number of 10 - inch pots.

A. y+15y=6
12x+x=78

B. x+y=6
12x+15y=78

C. x+y=78
12x +15y=6(78

D. x+y=6
15x+12y=78

E. No solution

Answers

Things we know:
Six total pots = # of 10" + # of 8"
$78 total = cost of 10" + cost of 8"

So:
6 = x +y
and
78 = x*(cost of x) + y * (cost of y)
78 = x*12 + y*15

We need:
x+y=6  AND 12x+15y=78

So our answer can only be B. 

A photo that is 4 in wide and 6 in high is enlarged to a poster that is 3ft wide and 4 1/2 ft high what is the ratio of the width of the photo to the width of the poster

Answers

1:9 would be the ratio

Answer:

Required ratio in the simplest form = 1 : 9

Step-by-step explanation:

Width of photo = 4 inches

Height of the photo = 6 inches

Width of the poster = 3 feet

Now, 1 feet = 12 inches

So, Width of the poster = 3 × 12 = 36 inches

Height of the poster = 4.5 feet

                                  = 54 inches

We need to find the ratio of the width of the photo to the width of the poster

⇒ Required Ratio = 4 : 36

⇒ Required ratio in the simplest form = 1 : 9

simplify 4x+5/6x^2-x-12 subtract 5x/6x^2-x-12

Answers

4x+5/6x^2-x-12 - (5x/6x^2-x-12)
= (4x + 5 - 5x)/(6x^2-x-12)
= (-x + 5) / (2x - 3)(3x +4)

answer

       -x + 5
---------------------
  (2x - 3)(3x +4)

Lou’s Shoes is having its annual Flag Day Sale and is offering a 25% discount on all regularly priced shoes. Kayla spends $13.50 buying sandals and sneakers. Determine which equation represents how much Kayla will spend on sandals after the discount.

Answers

The easiest way to think of these is to put them in terms of percentages.  Obviously, if you are SAVING 25%, you are SPENDING 75%.  So if she SPENDS 13.50, we can easily use the 75% in an equation. $13.50 = .75x, with x being what the shoes cost originally.  The .75 indicates that she is spending 75% of what the original cost is. You don't have any examples to pick from, but this is the best way to explain what one of the equations could be.  You could also base it on money saved, but the equation is not quite as neat.

The equation represents how much Kayla will spend on sandals after the discount is $13.50 = 0.75x.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that Lou’s Shoes is having its annual Flag Day Sale and is offering a 25% discount on all regularly priced shoes. Kayla spends $13.50 buying sandals and sneakers.

The equation can be written as:-

$13.50 = 0.75x.

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The value of a treadmill bought new for $1000 decreases 5% each year. Use a graph to predict the value of the treadmill in 5 years.
A) ≈ $773.78
B) ≈ $857.38
C) ≈ $902.50
D) ≈ $814.50

Answers

The formula is
V (t)=V0 (1-r)^t
V (t)?
V0 1000
R 0.05
T 5 years

V (5)=1,000×(1−0.05)^(5)=773.78

The predicted value of the treadmill after 5 years, with an annual depreciation rate of 5%, is approximately $773.78. This calculation uses the exponential decay formula and corresponds to option A).

To predict the value of a treadmill in 5 years that was bought new for $1000 and decreases 5% each year, we can use the formula for exponential decay:

V = [tex]P(1 - r)^t[/tex]

Where:

V is the future value of the treadmill,

P is the original value ($1000),

r is the rate of decay (5% or 0.05), and

t is the time in years (5 years).

By substituting the values we have:

V = $1000(1 - 0.05)⁵

V = $1000(0.95)⁵

V = $1000(0.77378) = $773.78

Therefore, the predicted value of the treadmill after 5 years is approximately $773.78, which corresponds to option A).

end behavior of F(x)=-x^(3-)2x^(2)+7x-10
A. The graph of the function starts high and ends high
B. The graph of the function starts low and ends low
C. The graph of the function starts high and ends low
D. The graph of the function starts low and ends high

Answers

The equation is a third-degree polynomial. The only way to know its trend is to graph it. 'F(x)' means a function of x. This could be any variable (suppose it's y). Assign values for x, you get their corresponding values of y, then plot x against y. The graph is shown in the picture. As you can observe, the answer should be letter D.

WILL SOMEONE HELP ME ANSWER THIS PLEASE!!!!

Luca and William are playing a video game and they have scored a total of 20,000 points. Luca scored 4,000 more points than William. If you let l= the number of points that Luca scored, and w= the number of points that William scored, then the problem can be represented by the system:

l+w=20,000 and l=w+4,000

Graph the system. How many points did each boy score?

My possible answers are:
a. William = 8,000 and Luca = 12,000
b. William = 12,000 and Luca = 8,000

d. William = 4,000 and Luca = 16,000

Answers

l+w=20000

l=w+4000

w+4000+w=20000

2w+4000=20000

2w=16000

w=8000

l = 8000 +4000 = 12000


William scored 8000, Luca scored 12000

l=w+4000

l+w=20000, using l from above in this equation yields:

(w+4000)+w=20000 combine like terms on left side

2w+4000=20000  subtract 4000 from both sides

2w=16000 divide both sides by 2

w=8000, since l=w+4000

l=8000+4000

l=12000

William=8000 and Luca=12000

(03.01)

A newly made car will have a model number, a parts number, and a serial number. A model number is assigned by the manufacturer to identify each type of car. A parts number identifies one part of the smaller parts that make up the car. A serial number is unique to each car produced and identifies it.

Which relation is a function?
(parts number, serial number)
(model number, parts number)
(serial number, model number)
(serial number, part number)

Answers

The answer you want is letter C, have a good day

Answer:

Hi!

The corrects answers are:

•(serial number, model number)

Step-by-step explanation:

First, you have to understand the meaning of a function, that is an a relation but have the condition:

The input must be relationed with only one output.

The question says:

"A serial number is unique to each car produced and identifies it." so this will be you input, and will be related with only one model number.

Suppose you add two linear equations that form a system, and you get the result y = −2. how many solutions does the system have?

Answers

This system will have 1 solution <==

** if it were to end like 0 = 4, or 2 = -3....no variables and numbers that dont equal....this means no solutions.

** if u were to end up with 5 = 5, or -9 = -9...no variables and numbers that do equal, then u will have infinite solutions

** but if u end with y = -2 or x = 5...a variable equaling a number, then u will have 1 solution

Can someone tell me a disaster that happened in America in the ocean (besides Deepwater Horizon). Thanks!!

Answers

The Prudhoe Bay oil spill, which occurred in 2006 in Alaska, is an example of a American oceanic disaster.

A local newspaper compiles data on the number of days, X, people in a neighborhood receive the newspaper. The probability distribution for the data is shown in the table below. What is the probability that a randomly chosen person receives the newspaper at least one day per week?

Answers

The data for this problem is provided below:
x           0          1          2        5        7
P(x)       17%    16%     14%    12%    41%

Where x is number of days that a person receives the newspaper per week
and P(x) is the probability that a person will receive the newspaper according to the number of days per week

We are asked for the probability that a person receives the newspaper at least one day per week
So,
16% + 14% + 12% + 41%
= 83%

There is 83% probability that a person will receive the newspaper at least one day per week.

Answer: D 83% is the answer

Find the coordinates of point l that lies along the directed line segment from N(14,4) to M(2,8) and partitions the segment in the ratio of 1:3

Answers

1. Drop the perpendicular from M to the x -axis, and the perpendicular from N to the y-axis.

Let these perpendiculars intersection be point A, with coordinates (2, 4).

[clearly A will have x coordinate equal to the x coordinate of M, and y coordinate equal to the y coordinate of N]

2. Let P be the point on NM such that |NP|/|PM|=1/3

3. Drop the perpendiculars from point P to AN and AM. Let the foot of these perpendiculars be points P' and P'' respectively.

4. By Thales theorem: |NP'|/|P'A|=1/3 and |AP''|/|P''M|=1/3

so let |NP'|=b, |P'A|=3b, |AP''|=c, |P''M|=3c, as shown in the figure


5. |AN|=14-2=12. 
    |AN|=4b so b=12/4=3

the x coordinate of P'=2+3b=2+9=11
the x coordinate of P= the x coordinate of P'=11

similarly |AM|=8-4=4
              |AM|=4c so c=1

the y coordinate of P'' is 4+c=4+1=5

the y coordinate of P = the y coordinate of P''=5





Answer: (11, 5)


Which expression is equivalent to am ÷ an?

am − n
am + n
am ⋅ n
am ÷ n

Answers

I would try am-n 
just because you're dividing an from am 
so you're taking away n .
Either that or am divided by n.
not 100% sure but this is my suggestion

The equivalent expression is a^m − n

What are properties of exponents?

The properties of exponents are mentioned below.

Law of Product: a^m × a^n = a^m+nLaw of Quotient: a^m/a^n = a^m-nLaw of Zero Exponent: a^0 = 1Law of Negative Exponent: a^-m = 1/a^mLaw of Power of a Power: (a^m)^n = a^mnLaw of Power of a Product: (ab)^m = a^m*b^mLaw of Power of a Quotient: (a/b)^m = a^m/b^m

Given expression:

am ÷ an

Now, using the law of exponents we have

a^m ÷ a^n

=a^(m-n)

Hence, the equivalent expression is a^m − n

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Ian has 120 folders to file. So far, he has filed 36 of the folders. What percent of the folders does he have left to file?

Answers

The fraction of the amount of folders Ian did not file out of 120 is 84/120.  In order to convert this into a percent, divide both the numerator and the denominator by 1.2.  You will get 70/100.  This new fraction as a percent is 70%.  So, he has 70% of folders left to file. 

Hope the explanation helped!

The 70 percent of the folders, he have left to file.

What is a fraction?

A fraction represents a part of a number or any number of equal parts.

We are given that Ian has 120 folders to file. So far, he has filed 36 of the folders.

The fraction of the amount of folders Ian did not file out of 120 ;

84/120

= 21/30

In order to convert this into a percent, we have to divide both the numerator and the denominator by 1.2.  

we will get 70/100.  

This new fraction as a percent is 70%.  

Therefore, he has 70% of folders left to file.

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Ajay analyzed two companies and has formulated tables to model each company’s growth, where x represents the age of the companies in years and y represents growth in terms of number of employees. Company 1 Company 2
Table 1 Table 2
x l y x l y
0 l 0 0 l 1
1 l 6 1 l 6
2 l 12 2 l 36
3 l 18 2 l 216
4 l 24 4 l 1,296




If the number of employees is an indicator of a successful business, in which company should Ajay invest? company 1 because it is adding six employees each year while company 2 is multiplying its number of employees by six each year company 1 because it is multiplying its number of employees by six each year while company 2 is adding six employees each year company 2 because it is adding six employees each year while c

Answers

Answer:

Company 2 because it is gaining six times the number of employees, while Company 1 is only adding 6 employees every year.

Step-by-step explanation:

Looking at the table, the number of employees in Company 1 goes up by 6 employees per year.

The number of employees in Company 2 is multiplied by 6 every year; this means they gain more employees after the first year than Company 2 does (they go from 6 to 36, which is a gain of 30, while Company 1 goes from 6 to 12, a gain of 6).

If we are looking strictly at the number of employees, Company 2 is the better choice.

Answer:

company 2 is multiplying

Step-by-step explanation:

Suatu jenis roti memerlukan 150 gram tepung dan 50 gram mentega. Roti jenis lain memerlukan 75 gram tepung dan 75 gram mentega, produksi roti membuat sebanyak roti dan dua jenis roti itu. Bahan yang tersedia 2.250 gram tepung dan 1.250 gram mentega, berapakah banyak roti masing masing yang dibuat?

Answers

Let the one type of the bread be bread A
The second type of the bread be bread B

Let the flour be 'f' and the butter be 'b'

We need 150f + 50b for bread A and 75f + 75b for bread B

We can compare the amount of flour and bread needed for each bread and write them as ratio

FLOUR

Bread A : Bread B
150 : 75
2 : 1

We have a total of 2250gr of flour, and this amount is to be divided into the ratio of 2 parts : 1 part. There is a total of 3 parts. 

2250 ÷ 3 = 750 gr for one part then multiply back into the ratio to get

Bread A : Bread B = (2×750) : (1×750) = 1500 : 750


BUTTER

Bread A : Bread B = 50 : 75 = 2 : 3

The amount of butter available, 1250 gr is to be divided into 2 parts : 3 parts.
There are 5 parts in total

1250 ÷ 5 = 250 gr for one part, then multiply this back into the ratio 

Bread A: Bread B = (2×250) : (3×250) = 500 : 750

Hence, for bread A we need 1500 gr of flour and 500 gr of butter, and for bread B, we need 750 gr of flour and 750 gr of butter.


The amount of Bread Type 1 is 10 pieces

The amount of Bread Type 2 is 10 pieces

Further explanation

Simultaneous Linear Equations can be solved using one of the following methods :

Elimination MethodSubstitution MethodGraph Method

Let's try to solve the problem now.

Let :

Amount of Bread Type 1 = A

Amount of Bread Type 2 = B

1 piece of bread type 1 requires flour as much as 150 grams and 1 piece of bread type 2 requires flour as much as 75 grams, while the total amount of flour is as much as 2250 grams, then:

[tex]150A + 75B = 2250[/tex]

[tex]2A + B = 30[/tex]

[tex]\boxed{B = 30 - 2A}[/tex] → Equation 1

1 piece of bread type 1 requires butter as much as 50 grams and 1 piece of bread type 2 requires butter as much as 75 grams, while the total amount of butter is as much as 1250 grams, then:

[tex]50A + 75B = 1250[/tex]

[tex]2A + 3B = 50[/tex]

[tex]2A + 3(30 - 2A) = 50[/tex] ← Equation 1

[tex]2A + 90 - 6A = 50[/tex]

[tex]2A - 6A = 50 - 90[/tex]

[tex]-4A = -40[/tex]

[tex]A = -40 \div -4[/tex]

[tex]\large {\boxed{A = 10}}[/tex]

[tex]B = 30 - 2A[/tex]

[tex]B = 30 - 2(10)[/tex]

[tex]B = 30 - 20[/tex]

[tex]\large {\boxed{B = 10}}[/tex]

Conclusion :

The amount of Bread Type 1 is 10 pieces

The amount of Bread Type 2 is 10 pieces

Learn morePerimeter of Rectangle : https://brainly.com/question/12826246Elimination Method : https://brainly.com/question/11233927Sum of The Ages : https://brainly.com/question/11240586?

Answer details

Grade: High School

Subject: Mathematics

Chapter: Simultaneous Linear Equations

Keywords: Elimination , Substitution , Graph , Method , Linear , Equation , Simultaneous

What is the ratio of the area of sector ABC to the area of sector DBE?
I am not quite sure how to do this. So far, since there are variables instead of numbers, I have got (pi)(r)^2:(pi)(3r)^2, but I know that is definitely wrong.

Answers

[tex]\bf \textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360}\qquad \begin{cases} \theta =\textit{angle in degrees}\\ r=radius \end{cases}\\\\ -------------------------------\\\\[/tex]

[tex]\bf \cfrac{\triangleleft ABC}{\triangleleft DBE}\qquad \cfrac{\frac{\beta \pi (2r)^2}{360}}{\frac{3\beta \pi (r)^2}{360}}\implies \cfrac{\beta \pi (2r)^2}{360}\cdot \cfrac{360}{3\beta \pi (r)^2}\implies \cfrac{\beta \pi 2^2r^2}{360}\cdot \cfrac{360}{3\beta \pi r^2} \\\\\\ \cfrac{\beta \pi 4r^2}{3\beta \pi r^2}\implies \cfrac{4}{3}[/tex]

Answer:

4/3

Step-by-step explanation:


find the area and circumference of a circle with radius 4 in.

Answers

area = PI * radius ^ 2
area = 3.14159 * 4 ^ 2
area = 3.14159 * 16
area = 50.26544 square inches

circumference = 2 * PI * radius
circumference = 2 * 3.14159 * 4
circumference = 25.13272 inches

 



Answer is provided in the image attached.

(06.01)What type of association does the graph show between x and y?

Linear positive association
Nonlinear positive association
Linear negative association
Nonlinear negative association

Answers

linear negative association, because it does represent a straight line, but it is going downward which makes it negative

The ratio of girls to boys is 5 to 6. If there are 72 boys, how many girls are there?

Answers

Answer: 60 girls
If the ratio of girls to boys is 5 to 6, it can be written as 5/6. You can use cross multiplication to figure out how many girls there are if there are 72 boys by setting the number of girls equal to x and dividing it by 72 like so: [tex] \frac{5}{6}= \frac{x}{72}[/tex]

After multiplying 5 and 72, and 6 and x, you get the equation [tex]360=6x[/tex]. To find the number of girls, all you have to do is divide by 6, which leaves you with [tex]x=60[/tex], meaning there are 60 girls when there are 72 boys based on the ratio 5:6 (girls to boys).

When two balanced dice are rolled, there are 36 possible outcomes. what is the probability that the sum of the numbers on the dice is 6 or 10?

Answers

The probability of having a sum of either 6 or 10 is [tex]\frac{2}{9}[/tex]

The sample space has the size [tex]|S|=36[/tex]

Let

[tex]A=\text{the event of having a sum of 6}\\B=\text{the event of having a sum of 10}[/tex]

then

[tex]A=\{(1,5),(2,4),(3,3),(4,2),(5,1)\}\\|A|=5[/tex]

and

[tex]B=\{(4,6),(5,5),(6,4)\}\\|B|=3[/tex]

then, the probability of having a sum of either 6 or 10 will be

[tex]P(A\cup B)=P(A)+P(B)[/tex]

since [tex]A[/tex] and [tex]B[/tex] are mutually exclusive events. Substituting

[tex]P(A\cup B)=P(A)+P(B)\\=\frac{|A|}{|S|}+\frac{|B|}{|S|}\\=\frac{2}{9}[/tex]

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Final answer:

When two balanced dice are rolled, there are 36 possible outcomes. To find the probability that the sum of the numbers on the dice is 6 or 10, count the favorable outcomes and divide it by the total outcomes.

Explanation:

When two balanced dice are rolled, there are 36 possible outcomes. To find the probability that the sum of the numbers on the dice is 6 or 10, we need to count the favorable outcomes and divide it by the total outcomes.

For the sum of 6, there are 5 possible outcomes: (1,5), (2,4), (3,3), (4,2), (5,1). For the sum of 10, there are 3 possible outcomes: (4,6), (5,5), (6,4). Therefore, there are 8 favorable outcomes out of 36 total outcomes.

The probability is calculated as:

Probability = Favorable outcomes / Total outcomes = 8 / 36 = 2 / 9

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A car travels around a circular track. The inside wheels follow along the line of the inner circle, and the outer wheels follow along the line of the larger circle. The radius of the larger circle is 25 ft, and the radius of the smaller circle is 21 ft. Determine how much farther the outer wheels would travel than the inner wheels after one revolution.

Answers

So, basically what they are asking for is the circumference (which is like the perimeter) of the inner and outer circles. 

Circumference is: C = 2πr

The radius of the two circles are given so all you need to do is plug it in.

Circumference of the bigger circle (outer tire) is 157ft. Circumference of the smaller circle (inner tire) is 132ft.

The exact answer is 157.07-131.88 = 25.19ft ≈ 25ft

Answer:

C

Step-by-step explanation:

Which options show the correct steps for finding the x-coordinate of the vertex in the equation y=x^2+6x+8?

Answers

hello : 
 y = (x² +2(3)x +3²) -3²+8
  y= (x+3)² -1 
the vertex is : (-3 , -1)

A scientist measures the angle x and the distance y between the Earth and the moon. Using complete sentences, explain how the scientist can use only these two measurements to calculate the distance between the Earth and the Sun.

Answers

Let the distance between the earth and the sun be denoted as 'z'.
From the trigonometric rules:
tan(theta)=opposite/adjacent

In this case: theta=x , opposite=y and adjacent=z

tan(x)=y/z
All terms in the equation are known except for 'z'.
therefore the distance between the earth and the sun denoted by the symbol 'z' is equal to: y/tanx

tan =opposite/adjacent

In this case: tan =X , opposite=Y and adjacent= D

tan(x)=Y(opposite) /D(adjacent)

All terms in the equation are known except for 'D the distance'.

So the distance between the earth and the sun indicate by the symbol 'D' is equal to: y/tan(x)

Sandy has earned $290. That is 20% of the cost of the new computer she wants to buy. What is the total amount of money she needs to buy the computer?

Answers

Since 20% is equal to the fraction 1/5, you multiply $290 by 5 to get the full cost of the computer.  290*5=1,450.  So, the total amount of money she needs to buy the computer is $1,450.

Hope the explanation helped!

Answer:

1450

Step-by-step explanation:

simply just multiply 290 by 5 and u get 1450 hope this helps you  

Identify each function as a constant, direct variation, absolute value, or greatest integer function.
g (x)=x+3

Answers

None of those describe this function.

It's not a constant function, because it is not equal to a constant (something that isn't a variable)

It doesn't show direct variation, because it can't be represented in the form
y = kx.

It isn't an absolute value function because the absolute value isn't taken anywhere.
If it was an absolute value function it would look something like this:
[tex]g(x) = |x+3|[/tex]

It isn't a greatest integer function, because the greatest integer isn't taken anywhere.
If it was a greatest integer function it would look something like this:
[tex]g(x) = \left \lfloor{x + 3}\right \rfloor[/tex]

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Huilan's age is two times Thomas's age. The sum of their ages is 54. What is Thomas's age Which of the following graphs represents the function f(x) = 2x3 x2 + 3x + 1? graph with 3 real zeros, down on left, up on right graph with 3 real zeros, up on left, down on right graph with 2 real zeros, down on left, down on right graph with 2 real zeros, up on left, up on right "The Pit and the Pendulum" by Edgar Allan Poe What are the three ways that the narrator`s captors attempt to kill him? Which of the following characters would be considered an archetype? A. Troublesome dog B. Shy little girl C. Unhappy parent D. Funny sidekick A video game is on sale for 30% off the regular price of 50$. What is the sale price of the game? What term describes hormones that influence the secretion of other hormones? tropic mineralocorticoids trophic allosteric teratogen? A mountaineer climbed 1,000 feet at a rate of x feet per hour. He climbed an additional 5,000 feet at a different rate. This rate was 10 feet per hour less than twice the first rate. Which expression represents the number of hours the mountaineer climbed Find the indicated terms of the sequence defined by each of the following recursive formulas:a3 = 11 and an = 2an 1 1a2 = a4 = a4 = 36 and an = 2 an 1 4a3 = a2 = What do hypotheses, theories, and laws have in common? Please Help! What is the best name for the following compound?CCl4-carbon chloride-carbon tetrachloride-monocarbon tetrachloride-calcium chloride In his book the origin of species, darwin argued that species living today descended from a succession of ancestral species. what mechanism did darwin propose to explain how evolution occurs If one store is selling 3/4 of a bushel of apples for $9, and another store is selling 2/3 of a bushel for $9, which store has the better deal? Explain you answer Which of the following statements is true of taking responsibility? A. You're unlikely to get control of your life when you blame others for your mistakes. B. Blaming another for your mistake is sensible when your accusation can be proven. C. You can't expect people to respect you if you make too many mistakes. D. If you correct a mistake quickly, no one else needs to know about it. Please Help! Given that line s is perpendicular to line t, which statements must be true of the two lines? Check all that apply. a.Lines s and t have slopes that are opposite reciprocals.b.Lines s and t have the same slope. c.The product of the slopes of s and t is equal to -1 d.The lines have the same steepness. e.The lines have different y intercepts. f.The lines never intersect. g.The intersection of s and t forms right angle. h.If the slope of s is 6, the slope of t is -6 Remember, it is check all that apply, so there will be multiple answers. A rectangle with a width of 2.5 cm and a length of 3 cm is dilated by a scale factor of 4. Which statements about the new rectangle are true? Check all that apply.The dimensions of the new rectangle will be 10 cm by 12 cm.The dimensions of the new rectangle will be 40 cm by 48 cm.The new perimeter will be 4 times the original perimeter.The new perimeter will be 16 times the original perimeter.The new area will be 4 times the original area.The new area will be 16 times the original area.The new perimeter will be 44 cm.The new area will be 30 square cm At the start of this year 18 months rent was paid. At the year's end how will this affect the balance sheet After declaring war on Germany, Americans immediately began a. sabotaging the Germans. b. dissenting. c. antiwar propaganda. d. mobilization. Given a soda can with a volume of 15 and a diameter of 2, what is the volume of a cone that fits perfectly inside the soda can? (Hint: only enter numerals in the answer blank). Which issue was NOT part of the Populist Party's political platform in 1892?A.government control of utilities and railroadsB.abolition of banksC.using the gold standardD.direct election of senators Solve the inequality. 8x-5>_27. A.x>_4. B.x>_11/4. C.x Steam Workshop Downloader