Answer: \(a_{n} = r^{2} - r(\frac{r-1}{2} )\)
r is the row number
a (sub n) is the amount in any given row number, n
To find the number of balls in a row, start by getting the square of the row.
Then take the row number minus 1, and divide by 2. Multiply that factor times the row number. That will produce a number to be subtracted from the square.
The square of the row number minus the row number times the factor will produce the number of balls.
Step-by-step explanation: Chart of values attached. Also reposting the pdf from your question as it did not appear in my original view
We know that the number of balls in the row is the number from the previous row plus the row number. So I made a chart of the first 10 values
The solution depends on seeing a relationship between the row numbers and the output of balls in the stacks. It helped to create a diagram with balls stacked vertically and horizontally to see the "square of the number minus some quantity"
I need the answer I only solved half of this help pls f (n)=n/2 3n +1 if n is even if n is odd
Answer:
3
Step-by-step explanation:
A fruit juice recipe calls for 2 parts orange juice and 8 parts pineapple juice. Which proportion can be used to find the amount of orange juice, j, that is needed to add to 18 L of pineapple juice?
2 over 8 equals j over 18
8 over 2 equals j over 18
8 over j equals 2 over 18
16 over 18 equals j over 100
The correct proportion to use to find the amount of orange juice, j, needed to add to 18 L of pineapple juice is:
2/8 = j/18
This proportion relates the ratio of orange juice to pineapple juice in the recipe (2:8) to the amount of orange juice needed to add to 18 L of pineapple juice. By cross-multiplying, we can solve for j as follows:
2/8 = j/18
218 = 8j
36 = 8*j
j = 36/8
j = 4.5
Therefore, you would need to add 4.5 L of orange juice to 18 L of pineapple juice to create the fruit juice recipe that calls for a ratio of 2 parts orange juice to 8 parts pineapple juice.
Answer:
2 over 8 equals j over 18Step-by-step explanation
2 over 8 equals j over 18
This proportion represents the ratio of orange juice to pineapple juice in the recipe. By setting up the proportion, we can solve for the value of 'j,' which represents the amount of orange juice needed.
So, the correct proportion is:
2 over 8 equals j over 18
Can someone Please help me
HELP!!
is 50.24 and 50.23 rational or irrational numbers pls explain pls pls
its easy i know but my brain hurts
Answer:
50.23 and 50.24 are both rational numbers.
Step-by-step explanation:
Rational numbers can be written like a ratio.
●Whole numbers (2, 15, 77) are rational bc just put a 1 underneath it (2/1, 15/1, 77/1) now its a ratio.
●Fractions are rational bc the fraction is exactly the ratio (1/2, 5/8, 65/111)
●Decimals that "terminate" that is end or stop are rational like your problem (50.23, 50.24) and ALSO decimals that repeat (2.33333..., 7.666666...) We can do some math on these and find the ratio that is equal to the decimal.
50.23
= 50 + 23/100
= 50•(100/100) + 23/100
= 5000/100 + 23/100
= 5023/100
50.23 is equal to 5023/100.
50.24 = 5024/100 = 2512/50 = 1256/25
Briefly, decimals that do not end either with no pattern or even with a pattern, but not repeating...they are Irrational. (pi, e, and any weird 4.531874569131187732678...no pattern, and 3.1121231234pattern but not a repeat)
Square roots of not-a-perfect square are Irrational (sqrt3, sqrt7, sqrt24) probably tmi, but hope this helps!
Earn points, answer both questions!
Answer:
Area of five squares = 1289.09 square units
Perimeter = 194.6 units
Step-by-step explanation:
Area of square and perimeter:
First find the length of each square, then find the area of each square.
To find the area of five squares, add all the area of each square.
Side of square1 = 27 units
\(\sf Side \ of \ square2 = \dfrac{2}{3}*27=2*9 = 18 \ units\\\\Side \ of\ square3= \dfrac{2}{3}*18=2*6=12 \ units\\\\Side \ of \ square4=\dfrac{2}{3}*12=2*4=8 \ units\\\\Side \ of \ square5=\dfrac{2}{3}*8=\dfrac{16}{3}=5.3 \ units\)
Area of square1 = 27*27 = 729 square units
Area of square2 = 18*18 = 324 square units
Area of square3 = 12*12 = 144 square units
Area of square4 = 8*8 = 64 square units
Area of square5 = 5.3*5.3 = 28.09 square units
Area of five squares = 729 + 324 + 144 + 64 +28.09
= 1289.09 square units
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Perimeter of the composite figure = (27 + 27+27+9) + (18+18+6) +(12+12+4) + (8+8+2.7)+ (5.3+5.3+5.3)
= 90 + 42 + 28 + 18.7 + 15.9
= 194.6 units
Briana spends $5 at the coffee shop every 3 days. At this rate, how much will Briana spend at the coffee shop in 30 days?
Responses
A $10
B $50
C $6
D $18
Answer:
B. $50
Step-by-step explanation:
first we know that in 3 days she spent $5 at the coffee shop
so then we multiply 5 by 30 and get 150 then divide by 3 and get 50
so the answer is $50
Answer:
Step-by-step explanation:
Please Help!!!!!What is the area of the polygon below?
Answer:
48 mm squared
Step-by-step explanation:
divide the shape into 3 parts- left square, middle joining rectangle, and right rectangle
a) the right most square has an area of 4 by 4 ie 16 mm sq.
b) the middle adjoining rectangle and length of 2 mm and breadth of 1mm making its area 2mm sq.
c) the right rectangle has height 5 mm nad breadth 6mm making the area 30 mm sq.
adding parts a b and c the total area is 16+2+30 = 48 mm squared
Answer:
48 square mm
Step-by-step explanation:
see attached image
We have 3 rectangles now.
16+2+30
=48
So, the area is 48 square mm.
Hope this helps! :)
Plssssssss Help!!!!!!
A relationship between X and Y is defined by the equation y = -3 x + 1/2. Which statements are true of this relationship? Check all that apply.
Find the slope of the line.
HELPPPPPP meeeeeeeeeeeeeeeeeeeeeeeeeee
Does anyone have the answer key to "Understand Systems of Linear Equations I-ready level H instruction?"
Answer:
no bro, sorry. even though I needed to I don't have it
Kenny compiled a list of his past 8 math test grades.
(89, 84, 83, 81, 85, 87, 89, 80)
What is the mean absolute deviation of this data set?
A. 2.75
B. 22
C. 84.5
D. 84.75
Answer:
The answer would be 84.75 D
Step-by-step explanation:
All you have to do is add all numbers and divide them by the number of grades Kenny has received.
Answer:
2.75
Step-by-step explanation:
i took the test
Point G is plotted on the coordinate grid below. Plot the point of G' the reflection of G over the y-axis.
Main idea: Experimental and theoretical probability
1. Fill in the blanks to compare experimental and theoretical probability.
If you know all of the possible outcomes of a trial, and all outcomes are equally likely, you can calculate the _______________ probability of a certain event.
The theorical probability of a coin landing on heads is _____%.
You can estimate probability by doing an _______________.
Experimental probability is also called _______________ probability.
2. Fill in the blanks to describe using probability experiments to estimate an unknown probability.
To estimate an unknown probability, _______________ the number of successful trials by the _________________________ of trials.
The more trials you perform, the more _______________ the _______________ tends to be.
3. Complete the steps to show how to estimate probabilities by repeating trials.
4. Anna does not know what colors of blocks are in a bag. She selects a block out of the bag, records its color, and replaces it in the bag. She repeats the process for a total of 50 trials, and then summarizes her data. Find P(yellow), the probability of choosing a yellow block.
Color
Green
Blue
Yellow
Number
18
22
10
Identify successful outcomes as choosing a _______________ block.
Of the 50 trials, _____ were successes.
Based on the data, the estimated probability of choosing yellow is _____. In simplest form, P(yellow) = _____.
Main idea: Conducting experiments
5. Complete the steps to estimate probabilities based on experimental data for this problem.
Marci made a 10-sided object and wrote a number from 0 to 9 on each face. She is not sure all the sides are equal in size, so she doesn't know the probability of rolling each number.
The sample space:
This tally table shows the data Marci collected from 10 rolls of her 10-sided object. Each mark represents one roll of that number. Fill in the estimated probability for each event based on the data after 10 rolls.
Estimated probabilities after 10 rolls
Rolled a:
0
1
2
3
4
5
6
7
8
9
Number of times
Probability
This table shows the data Marci collected from 100 rolls of her 10-sided object. Fill in the estimated probability for each event based on the data after 100 rolls.
Estimated probabilities after 100 rolls
Rolled a:
0
1
2
3
4
5
6
7
8
9
Number of times
6
14
7
13
9
11
8
12
11
9
Probability
Main idea: Estimating probability with relative frequency
6. Barry made four out of five free throws. Complete the table and answer the questions about the relative frequency of free throws made.
Free throws made
Free throws tried
Relative frequency
What is the estimated probability that Barry will make his next free throw? How likely is he to make the shot?
7. Complete the sentences to describe using relative frequency tables to estimate probability.
The probability of an event can be estimated by finding the ____________________ of the event.
The relative frequency is the number of times a(n) _______________ occurs divided by the number of observations.
Main idea: Using probability to approximate frequency
8. Tamara and her sister play a game using a spinner. A typical game involves 136 spins. The probability of spinning each color is . About how many times should Tamara expect the spinner to land on yellow? Let x represent the number of times the spinner lands on yellow.
Select the pair(s) of ratios that form a proportion. This is a test and I really need answers.
3/11, 15/33
42/18, 7/3
14/36, 2/5
22/6, 33/9
Answer:
3/11, 15/33 I think
Step-by-step explanation:
Triangle ABC is transformed according to the rule (*.y) -(x+3y + 3) to create triangle ABC
which statement is true?
A The angle measures of triangle ABC are triple the corresponding angle measures of
triangle ABC
B The side lengths of triangle ABC are three units shorter than the corresponding side
lengths of triangle ABC
C The angle measures of triangle ABC are greater than
triangle ABC
the corresponding angle measures of
D The de lengths of triangle AB are the same as the corresponding ide lengths of
Answer:c
Step-by-step explanation:
Uhhhhh what?! Im so confused?
Answer:
Step-by-step explanation:
First quartile is 10
80-70=10
*PLEASE ANSWER FAST*
Answer:
B
Step-by-step explanation:
Cross multiplication :)
Answer:
1) By (B)
2) Yes
ASAP HELP!!over the summer,for every 11 okra seeds dana planted,6 grew into plants,if he planted 143 okra seeds,how many grew into plants
A:138
B:63
C:78
D:262
Answer:
c) 78 plants
Step-by-step explanation:
The total required is,
→ x = 143/11
→ [ x = 13 ]
Then number grew into plants,
→ 6 × x
→ 6 × 13
→ 78 plants
Hence, the option (c) is correct.
Answer: 78
Step-by-step explanation: 143 /11=13x6=78
Pls help with this 20p + brainlest
True or False? In Exercises 119 and 120, determine whether the equation is true or false. Justify your answer.
120. \ln (x+y)=\ln x+\ln y
Answer:
True
Step-by-step explanation:
To find true or false
Using the properties of logarithms, the left side of the given equation .logb b^2r=2r
, is equivalent to logb b^2r = 2x logb b
(use Power Rule)
=2x(1)
=2x
Hence, the given statement is a true statement.
Kayla stacked her 1-inch cubes to make this rectangular prism.
What is the volume of Kayla's prism?
A.) 45 in³
B.) 55 in³
C.) 75 in³
D.) I don't know.
Answer:
75 inches^3
Step-by-step explanation:
count units on each edge 5 units * 5 units * 3 units 5*5*3 is 75
You begin at the parking lot and travel 4 units east, then 11 units north. Where are you?
please help me. the answers are: A. 47 1/4 ft^3
B. 94 1/2 ft^3
C. 189 ft^3
D. 378 ft^3
Answer:
C. 189 ft^3
Step-by-step explanation:
hope this helps
Question 7(Multiple Choice Worth 5 points)
(01.02 MC)
If (92)P=98, what is the value of p?
02
03
04
06
Answer:
4, Third option
Step-by-step explanation:
When you get 9^8 the answer is 43046721. So when raising a power to a power, the products should equal 8. Using simple math, we can determine that 4x2=8. To check our work you can calculate (9^2)^4, which equals 43046721. Now we can now for sure that this answer is correct. Hope this helps!
what is 8^{11} ÷ 8^{9}
Answer:
64
Step-by-step explanation:
Answer: 64
Step-by-step explanation: I don't know how to do the step-by-step, but it's quite easy.
please answer quickly
Answer:
37.5
Step-by-step explanation:
cosФ = \(\frac{A}{H}\)
cos(33°35') = \(\frac{m}{45}\)
m = 45 × cos(33°35')
m = 37.5 (1d.p.)
A student is saving money to go on a school field trip. The graph shows the relationship between the number of weeks the student has been saving, x, and the total dollar amount they have saved, y. coordinate plane with the x axis labeled number of weeks and the y axis labeled total savings in dollars, with a line that passes through the points 0 comma 20 and 5 comma 50 Determine the slope and explain its meaning in terms of the real-world scenario. The slope is 6, which means that the student's total savings increases by $6 each week. The slope is one sixth, which means that the student's total savings increases by $0.17 each week. The slope is 12, which means that the student will finish saving money after 12 weeks. The slope is 20, which means that the student started with $20.
Answer: whats the question
Step-by-step explanation: But if you wanted me to check your work your right
Can someone please help me with this question? Math isn't my strongest subject.
For those who can't see the screen shot it says:
"Tatiana earns money by babysitting her little cousin. When she babysits for 2 hours she earns $27. When she babysits for 7 hours she earns $94.50. Which equation represents her total wages based on the hours that she works?"
Answer:
y=13.50x
Step-by-step explanation:
94.50/7 = 13.5
Some students recorded how many minutes they spent on the phone in one day. They put the results in a Stem-and-Leaf Plot.
What is the mean number of minutes spent on the phone?
Explanation:
The data from the stem-and-leaf plot is:
10,
24,25,26,
30,30,32,33,
40,45,46
Add up those values
10+24+25+26+30+30+32+33+40+45+46 = 341
Then divide over n = 11 which is the sample size.
341/11 = 31 is the arithmetic mean.
Answer:
341/11 = 31 is the arithmetic mean.
Step-by-step explanation: