Find the rule that gives the number of dots needed to form the nth figure in each pattern.
Answers
Answer: adding a column and a row
Step-by-step explanation:
The rule which give the number of dots for the nth figure is [tex]= n^{2}[/tex] or number of dots [tex]= n \times n[/tex], where n represents the number of figure.
What is pattern?A pattern is a repeated arrangement of numbers, shapes, colors and so on.
Let n represents the number of figure and m be the number of dots.
According to the given question.
We have some figures which is made up of dots with following some patterns.
In the given first figure i.e. for n = 1
The total number of dots is 1.
[tex]\implies m = 1[/tex]
In the second figure i.e. for n = 2
The number of dots gets increased and the counts of dots are 4.
⇒ [tex]m = 4[/tex]
[tex]\implies m = 2 \times 2[/tex]
In the third figure i.e. for n = 3.
The number of dots are 9
[tex]\implies m = 9[/tex]
[tex]\implies m = 3 \times 3[/tex]
Similarly, for the nth figure, the number of dots is given by
[tex]m = n \times n[/tex]
[tex]\implies m = n^{2}[/tex]
Hence, the rule which give the number of dots for the nth figure is number of dots [tex]= n^{2}[/tex] or number of dots [tex]= n \times n[/tex], where n represents the number of figure.
Find out more information about pattern here:
https://brainly.com/question/23136125
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Related Questions
Describe the pros and the cons of using the standard form of a line to graph an equation.
Answers
Answer:
The standard form of a line is expressed as Ax + By = C, where A, B, and C are constants and x and y represent the variables. One advantage of using the standard form to graph a line is that it is relatively easy to determine the slope and y-intercept of the line from the constants A and B. This can be particularly useful when trying to analyze the behavior of the line.
Another advantage of using the standard form is that it allows you to easily determine the equation of the line when given a set of points. For example, if you are given the points (2,4) and (3,6), you can use the standard form to find the equation of the line that passes through these points by substituting the coordinates into the form and solving for the constants.
One potential disadvantage of using the standard form is that it can be more difficult to interpret the meaning of the constants A, B, and C in terms of the context of the problem. For example, if the line represents the cost of a product, it may be more intuitive to express the equation in terms of the variables x (the number of units) and y (the cost). In this case, it may be more useful to use the slope-intercept form of the equation, which is expressed as y = mx + b, where m is the slope and b is the y-intercept.
Step-by-step explanation:
https://www.math.net/standard-form
Step-by-step explanation:
I honestly think that - ' jphhendell13 ' is correct.
Help please will mark brainliest!!!
Find the measure of angle 3.
A. 15 degrees
B. 45 degrees
C. 30 degrees
D. 60 degrees
Answers
Answer:
45°
Step-by-step explanation:
Well, compared to 90°, it looks like it's just smaller, but not too small. It couldn't be 15° degrees, or 60°, as it was probably too much. I Don't think it's 30° either, because it looked bigger than what a 30° angle would be.
Hope it helped!
~Flip
Nancy lives in a state where sales tax is 9%. This means you can find the total cost of an item, including tax, by using the expression c + 0.09c, where c is the pre-tax price of the item.
Use the expression to find the total cost of an item that has a pre-tax price of $84.00.
Answers
Answer:
91.56
Step-by-step explanation:
84 x 0.09=7.56
7.56+84=91.56
c + 0.09c
84 + 0.09(84) 0.09x84= 7.56
84 + 7.56 = $91.56
2. If (3x + 2y) = (6, 8), find x and y .
Answers
Select all ratios equivalent to 30:14 A. 6:4 B. 21:7 C. 60:28
Answers
Answer:
c
Step-by-step explanation:
30:14 The division isn’t proportional. 30/5 is 6 but 14/5 is not 4.
6.4
—————
30:14 Same here as above just now the 14 is proportional just not the 21.
21:7
—————
30:14 Finally! The 2nd ratio is twice the first!
60:28
Answer: hope this helps ♡
C. 60:28
Step-by-step explanation:
30:14
A. 6:4 → 30 ÷ 6 = 5 & 14 ÷ 4 = 3.5 (the answers aren't equal) 30:14 ≠ 6:4
B. 21:7 → 30 ÷ 21 = 1.4 & 14 ÷ 7 = 2 (the answers aren't equal) 30:14 ≠ 6:4
C. 60:28 → 30÷60 =0.5 & 14÷28 = 0.5 (the answers are equal) 30:14 = 60:28
the cost of 4 pounds of potatoes is 3.56. what is the constant of proportionality that relates the cost in dollars, y to the number of pounds of potatoes, x
what is the answer? please help
Answers
Answer:
0.89
Step-by-step explanation:
y = kx
3.56 = k(4)
Divide both sides by 4
k = 0.89
Answer:
0.89
Step-by-step explanation:
Divide 3.56 by 4 to get the constant of proportionality
3.56 divided by 4 equals 0.89.
Need help with this lol
Answers
Answer:
D
Step-by-step explanation:
Pythagorean Theorem: a^2+b^2=c^2
6^2+10^2=c^2
36+100=136(radical symbol)
Answer is D
Hope this helps :)
Answer: hope this helps ♡
D) √136 ft.
Step-by-step explanation:
c = hypotenuse
a & b = the two other sides
a² + b² = c²
6² + 10² = c²
36 + 100 = c²
136 = c²
(11.6 = c)
What is the area of this figure?
Answers
Answer:
16+110=126 m²
Hope it helps :)
Answer:
Area of 1 st rectangle, length = 10m and breath = 15m
So using formula , rectangle = length × breadth
= 10 m × 15 m
=150^{2}
again,
Area of 2 st rectangle, length = 6m and breath = 4m
So using formula , rectangle = length × breadth
= 6 m × 4 m
= 24m^{2}
Now ,
Final area of whole box = 1^{st} area - 2^{nd} area
= 150m^{2} - 24m^{2}
= 126 m^{2} is answer
HELP ME PLEASE !!!!!!!!
Answers
Answer:
Step-by-step explanation:
To think about this logically, lets take a different, more simplified example.
Lets say we have two numbers: 4 and 6
The product of these numbers is 24. If we doubled the product, we would get 48.
Using our original equation, how could we get a result of 48? We could double either 4, or 6. 8 times 6 equals 48, and 12 times 4 equals 48.
So, from this we can take away that in an expression, doubling one number will double the answer. On a side note, you could you use this not only when doubling a number. If you tripled a number in an expression, then the answer to the expression would also triple.
So, the answer to your question is (A) - Double one dimension
Jada has a monthly budget for her cell phone bill. Last month she spent 120% of her budget, and the bill was $60. What is Jada’s monthly budget? Explain or show your reasoning.
Answers
Now we are given that 120% of the budget is equal to $60.
This means that:
60 = 1.2n
Solve the equation for n to know the budget:
60 = 1.2n
n = 60 / 1.2 = 50
Based on the above calculations, Jada's budget is 50$
pls help will give brainliest to the right answer :)
Answers
Answer:
62
Step-by-step explanation:
Answer:
The median is 62 beause it falls between the 60 and is no where near 20 or 30 70 is higher on your can find the median by looking at the lines the two ones or if the numbers are line up it would be the one one in the middle if there are two number is the middle in would be between those to numbers example 28 and 29 it would 28.5 hope this helpsStep-by-step explanation:
It is not possible to calculate the theoretical probability of making a basketball shot, because there are too many factors involved. But you can use experimental data to estimate the probability.
ABC Insurance analyzes the data on half-court shot promotions to determine the insurance costs for future clients. Over the past 10 years, contestants have made 2 shots at 2500 different events.
Calculate the relative frequency of a contestant’s making a half-court shot.
Enter your answer, as a percent, in the box.
[tex]P(E)=\\Number-of-time-event-E-has-happened\\ ------------------------\\n[/tex]
Answers
Answer:
45
Step-by-step explanation:
please help!
I have part 1 done I just need help with part 2 and 3
Part 1
You will need to measure five different people. Record your measurements on a piece of paper. Using a tape measure or ruler, measure the length (in inches) of a person’s left foot and then measure the length (in inches) of that same person’s forearm (between their wrist and elbow). Refer to the diagrams below. You will have two measurements for each person.
(An easy way to measure the length of a foot is to have your subject stand on a piece of paper. Then, trace their foot and measure the outline once they move off the paper.)
To measure the forearm, measure inside the arm, between the wrist and the elbow.
forearm(in) foot (in)
8 10
11 12
14 14
15 16
15 17
Part 2
Organize your data and find the rate of change.
Create a table of the measurements for your data. Label the forearm measurements as your input and the foot measurements as your output.
Select two sets of points and find the rate of change for your data.
Describe your results. If you had to express this relation as a verbal statement, how would you describe it?
Part 3
Compare rates of change.
The equation below can be used to find the length of a foot or forearm when you know one or the other.
(length of the foot) = 0.860 • (length of the forearm) + 3.302
If you let y = length of the foot and x = length of the forearm, this equation can be simplified to
y = 0.860x + 3.302.
Using this equation, how long would the foot of a person be if his forearm was 17 inches long?
What is the rate of change of the equation from Part A?
Compare the equation from Part A to your data. Are they the same? Which has a greater rate of change? Why do you think the values are different?
Is the relation in your data a function? Why or why not? Could the equation in Part A represent a function? Why or why not? Explain your answer.
For this option you will submit the details from all three parts. Submit your measurements, the table, and description that you created in Parts 1 and 2. Submit your answers to the questions from Part 3.
Answers
Answer: You'll be able to do this!
Step-by-step explanation:
I will be so proud of you if you complete it
I NEED TO GET THIS RIGHT IF I WANT TO PASS THIS!!!
Answers
Answer:
its the first one
A child's pool is filled to the top. On day 1, the level of the water in the pool decreases by [tex]1\frac{1}{3}[/tex] inches. On day 2, the level of the water decreases by [tex]\frac{3}{8}[/tex] inch. What number represents the total change in the water level after 2 days?
A. [tex]-1\frac{17}{24}[/tex] inches C. [tex]\frac{23}{24}[/tex] inch
B. [tex]\frac{-23}{24}[/tex] inch D. [tex]1\frac{17}{24}[/tex] inches
Answers
Answer:
[tex] \displaystyle A) -1 \frac{17}{21} [/tex]
Step-by-step explanation:
refer the attachment
the blue line refers the amount of reduction in the first day and the black line refers the amount of reduction in the second day
note that the total amount of depth of the the pool isn't specified therefore we can't assume the total depth of the pool to be 1 and as it says 'decrease' we are dealing with negative numbers
so
[tex] \rm \displaystyle \text{the level of the water in the pool decreases by $1\frac{1}{3}$ inches} \iff \boxed{- 1\frac{1}{3} }[/tex]
likewise
[tex] \rm \displaystyle \text{the level of the water in the pool decreases by $\frac{3}{8}$ inches} \iff \boxed{- \frac{3}{8} }[/tex]
since it wants the total amount of reduction we just need to add them which yields:
[tex] \displaystyle - 1 \frac{1}{3} + \bigg(- \frac{3}{8}\bigg) [/tex]
simplify complex fraction:
[tex] \displaystyle - \frac{4}{3} + \bigg(- \frac{3}{8} \bigg)[/tex]
simplify addition:
[tex] \displaystyle - \frac{41}{21} [/tex]
the option is given in complex fraction thus convert it to complex fraction:
[tex] \displaystyle -1 \frac{17}{21} [/tex]
and we're done!
hence our answer is A
Answer:
[tex]( - 1 \frac{17}{24} \: inches)[/tex]
Step-by-step explanation:
[tex]1 \frac{1}{3} + \frac{3}{8} \\ = \frac{4}{3} + \frac{3}{8} \\ = \frac{32}{24} + \frac{9}{24} \\ = \frac{41}{24} = 1\frac{17}{24} [/tex]
What is the area of the path that Julie walks everyday? Round your answer to the nearest hundredth.
_.__ square miles
(Please type number and decimal point only)
Answers
The area of the path that Julie walks everyday is given as follows:
1.35 square miles.
How to obtain the area of a triangle?The area of a rectangle of base b and height h is given by half the multiplication of dimensions, as follows:
A = 0.5bh.
From the image given at the end of the answer, the dimensions for this problem are given as follows:
b = 1.5 miles.h = 1.8 miles.Hence the area of the path that Julie walks everyday is obtained as follows:
A = 0.5 x 1.5 x 1.8
A = 1.35 square miles.
Missing InformationThe path is given by the image presented at the end of the answer.
More can be learned about the area of a triangle at brainly.com/question/21735282
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I dont understand this at all, can someone give an explanation for brainliest?
Answers
Answer:
The area of a parallelogram is base x height. You multiply the base and height (represented as b and h) to get the area of the parallelogram.
In the first question, the base and height is already given to you so, 2x6=12.
12yd squared is the area for the first one.
Now lets do the second one. The base and height is also given to you so do, 6x4=24.
24m squared is the area of the second one.
Anybody know these answers? It's a chapter 6 review assignment. Whoever has it right will get a brainliest and 5 stars and a thanks
Answers
Answer:
I DOnt KNOW
Step-by-step explanation:
15:$88.88
16:8.3%
17: A because the system is $97.20 which is a better price than B $108 or C $120
18:$31.08 but if it’s not then it’s 51.08
19:65%
20:$37.12
Pls help- with this homework question..
Raise a to the 2nd power, then find the difference of the result and 9.
Answers
you can’t solve it til you find what a is.
please help i hate algebra this is so confusing 30 pts
The function f(x) = –(x – 20)(x – 100) represents a company’s monthly profit as a function of x, the number of purchase orders received. Which number of purchase orders will generate the greatest profit? *
I know that the answer is B, 60. But I need to know how i got to that answer. Please help i am so confused.
Answers
you got it correct.............................
Identify the equivalent expression for (m^1/3 m^1/5)^0
Answers
Answer:
1.
Step-by-step explanation:
The thing is, x^0 is always 1. So even if you simplify, it will still be 1.
[tex](m^\frac{1}{3}*m^\frac{1}{5})^0\\(m^\frac{8}{15})^0\\\text{But when put to the power of 0,}\\1.[/tex]
Answer:
1. is the answer
Step-by-step explanation:
Kevin hopes to earn a college basketball scholarship. To improve his shooting skills, Kevin shoots 50 baskets / day. If Kevin shoots 50 baskets every day for 60 days, how many shots will Kevin take? help please!
Answers
Answer:
Kevin will shoot 3,000 baskets in 60 days.
Explanation:
If Kevin shoots 50 baskets per day, that means the ratio of baskets shot to number of days is 50:1.
When the 1 changes to 60, you have to divide 60/1 to see how many times 1 was multiplied to get 60, then multiply the quotient by the 50.
In this case, 60/1=60. SO, we multiply 50*60 and get 3,000.
Answer: it would be 3,000
Step-by-step explanation:
Find the value of the variable.
Answers
These angles are supplementary, meaning that their sum should be 180.
Write an equation.
5x+110=180
5x+110-110=180-110
5x=70
x=14
To find the angle measure,
multiply 5 by 14.
5 x 14= 70
To check:
70+110=180
Therefore, the variable has a value of 14.
The angle reflecting 110 degrees is also 110 degrees.
110 * 2 = 220 degrees.
Out of a 360-degree division, 360 - 220 = 140 degrees (5x degrees + it’s reflected angle.)
2(5x) = 140
10x = 140
x = 14
Help me, save me!!!!!!!!
Answers
Answer:
D
Step-by-step explanation:
Open circle means less than or greater than, and the dot is on -5, so the answer is greater than -5
Answer:
A
Step-by-step explanation:
help !!!! the two way frequency table shows the seasonal preferences for a random sample of high school students
Answers
Answer:
its c
Step-by-step explanation:
I bought some 60cent candy bars with c dollars. Then I ate n of them. How many candy bars do I have left?
Answers
Find the value of 15+2k when k=3.
Answers
Answer:
15+2k=21
Step-by-step explanation:
When k=3, we can replace k in the formula with (3), giving us
15+2(3) = 15+6 = 21
Answer:
21
Step-by-step explanation:
15 + 2k when k = 3
15 + 2(3)
15 + 6
21
Can someone help me with this?
Answers
Answer:a and d
Step-by-step explanation:
You should plot the points first then do the following questions
One side of an isosceles triangle is 2x + 1 ft long. The other two sides are both 34-1 ft long. The perimeter of the triangle is 55 ft. What is the length of each side? Show your work.
pls help! i will give brainly
Answers
Answer:
(3x-1) + (3x-1) + (2x+1) = 55
Step-by-step explanation:
1. 3x + 3x + 2x = 8x
2. -1 + -1 + 1 = -1
3. 8x -1 = 55
4. 8x = 55 + 1
5. 8x = 56/8
6. x = 7
HELP! i only need the 2 middle ones (the ones that are stared)!
Answers
For the second one,
The model can be used to determine the value the X by showing where 1
snow-cone matches up with the price of $3.25.