10) if the pattern indicated below is continued, what would be the total number of cubes in the 5th stage
of the pattern?
a) 55
b) 36
c) 45
d) 30
Answers
Answer:
Option A. 55
Step-by-step explanation:
From the diagram given above, we discovered that the number of cubes in each stage is simply the addition of the squares of the number from 1 to the stage number i.e
1st Stage = 1² = 1 cube
2nd Stage = 1² + 2² = 1 + 4 = 5 cubes.
3rd Stage = 1² + 2² + 3² = 1 + 4 + 9
3rd stage = 14 cubes
With the above idea in mind, we can obtain the number of cubes in the 5th stage as illustrated below:
5th stage = 1² + 2² + 3² + 4² + 5²
5th stage = 1 + 4 + 9 + 16 + 25
5th stage = 55 cubes
Thus, there are 55 cubes in the 5th stage.
Related Questions
What is the formula for the distance between 2 points?
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What is the slope between the two points shown on the graph below?
Answers
Answer:well it’s going down 3 times which makes that negative 3, then it goes to the right 3 times, so I’m guessing it’s -3,3.
Step-by-step explanation:
Find the constant of proportionality for this proportional relationship and write an equation. Use b for bags of candy and p for pieces of candy.
answer and get 20 points
Answers
If two variables x and y are directly proportional, then as x rises, y will rise accordingly, and as x falls, y will fall accordingly. So, y=k x can be written.
The equation for k=y/x is k=b/p.
What exactly is a constant proportion?the proportional relationship between two variables that is always constant.
Constant ratio, constant rate, constant of variation, or even changing rate are examples of proportionality constants.
Describe continuous rate.When the ratio of the output to the input remains constant at every given point along the function, the rate of change is said to be constant.
The slope is another name for the constant rate of change.
The rate of change for linear functions will be constant.
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Help Answer with STEPS on how to do it
Answers
A tile installer charges $12 per square foot to install floor tile. What is the cost to install tile in a room of the size shown? PLEASE HELP
Answers
Answer: $480.00
Step-by-step explanation:
12 divided by 3 +6 times 2 simplified
Answers
Answer:
16
Step-by-step explanation:
12/3 +6×2
4+12=16
Hope it helps
true or false, the ratios 4:10 and 8:20 are equivalent
PLEASE HELP IF I FAIL MY MOM IS GONNA-
Answers
Answer:
True
Step-by-step explanation:
If you multiply both 4 and 10 by two, you get 8 and 20
The ratios 4:10 and 8:20 are Equivalent.
What is ratio?A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.
Given:
As, when the two ratios are equal after simplifying then they are equivalent ratio.
So, 4/10
= 2/5
and, 8/20
= 2/5
As, both ratios are giving equal value after simplifying.
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Find the inverse function of
y =x-5/6
Answers
[tex]f(x) = y = x - \frac{5}{6} \\ [/tex]
Subtract the sides of the equation plus 5/6
[tex]y + \frac{5}{6} = x \\ [/tex]
So ;
[tex] {f}^{ - 1}(x) = x + \frac{5}{6} \\ [/tex]
_________________________________
And we're done.
Thanks for watching buddy good luck.
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When I was 6 my sister was half my age. I am now 70. How old is my sister?
Answers
So, when I am 60 my sister will be, 35
Sarah needs to buy 21/25 meters of chain for a home project which decimal number is equivalent to 21/25
A. 8.4
B. 8.04
C. 0.84
D. 0.804
Answers
Write the exponent for the expression.
3x3
Answers
Answer:
First, rewrite the expression as:
3
x
3
×
1
8
Next, use this rule of exponents to rewrite the expression again as:
x
a
×
b
=
(
x
a
)
b
3
x
3
×
1
8
⇒
3
(
x
3
)
1
8
Now, use this rule of exponents to write the expression as a radical:
x
1
n
=
n
√
x
3
(
x
3
)
1
8
=
3
8
√
x
3
Step-by-step explanation:
Step-by-step explanation:
it is 3 to the power of 3 or 3 with a tiny three next to it. The answer to 3 to the power of three is 27. 3x3=9 9x3=27
Helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp[[[[[[[[[Erica deposited $450 in a bank account at the beginning of the month. A payment of $35.20 is automatically deducted each month for her gym membership. If she makes no other deposits or withdrawals, how much money is in Erica’s account at the end of four months?
Answers
$309.20
Explanation:
We know that..
- Erica started off with $450 in her bank account
- $35.20 gets taken out of her bank account every month
Using this information, we can write an equation:
E = 450-35.2m
E= the amount of money Erica has
m= the number of months that pass
And now, all we have to do is substitute m as 4 to find out how much money is in Erica’s account after 4 months.
E = 450-35.2m
E=450-35.2(4)
E=309.2
Therefore, there would be $309.20 left in Erica’s bank account after 4 months.
HELP! A graph has a y intercept of 5 and x intercept of -2. Determine the equation in slope-point form.
Answers
m= 5/2
b= y-intercept = 5
y= 5/2x + 5
Giving brainlist SO PLZ HELP
Shawn owns a lemonade stand and is trying to calculate his earnings. The problem is that his little brother keeps giving away cups of lemonade to his friends. Every time he does this, Shawn loses money. Each cup of lemonade costs Shawn $0.30 to make, and he sells them for $1.25 each. Last week, Shawn’s brother gave away 12 cups of lemonade.
Last week Shawn sold 26 cups of lemonade. What was his total profit based on how many cups he sold and his brother gave away?
A. $40.30
B. $13.40
C. $1.55
D. $0.95
Answers
Answer:A
Step-by-step explanation: I dont known
Find the value of f(-2)
Answers
Answer:
y = 3.5
Step-by-step explanation:
If you look at the x axis, you know x = -2 so you want to know y.
20 adults and 15 children are going to attend a musical evening. The organizers have arranged the tables in such a way that there is an equal number of adults and children on each table and no one is left over. What is the GREATEST number of tables that the organizer can set up?
Answers
Answer:
Step-by-step explanation:
20 + 15 = 35 . Now you need to list the factor of 35: 1, 5, 7, 35 pickt the smallest factor.
Write the equation of the line that is parallel to y=3x+1 that passes through (2,3)
Answers
Answer:
Y=3X+3
Step-by-step explanation:
Y=mx+b
m=3
when x=2 and y=3 b=3
A small school bus contains 8 first-graders and 10 second-graders. If two children are ill, what is the probability that at least one of them is a first-grader?
Answers
Answer:
2/18
Step-by-step explanation:
What is the value of 5 - 12?
Answers
Answer:
-7
Step-by-step explanation:
Answer:
-7
Step-by-step explanation:
5-12=-7
hope this helps lol
Help please!!!!!!! URGENT
Answers
Answer:
nvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
Step-by-step explanation:
cgfgbgfgggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg
Please help!!!!! Look at the attachment
Answers
Answer:
x=-6
Step-by-step explanation:
Answer: x= -6
Step-by-step explanation:
You combine the 2 expressions
8x+8=5x-10
move the smallest variable
3x+8=-10
and do what you would normally do
3x=-18
/3
x=-6
.
Simplify by using the Distributive Property
4(4f-2g)
Answers
Answer:
the answer is 16f-8g
Answer:
16f - 8g
Step-by-step explanation:
You would multiply the terms in the middle by 4 so 4f*4 would be 16f since 4*4 is 16 and then 4*2g would be 8g since 4*2 is 8
Aaron can join a gym that charges $19.99 per month, plus an annual $12.80 fee, or he can pay $21.59 per month. He thinks the second option is better because he plans to use the gym for 10 months. Is Aaron correct? Explain.
Answers
Answer:
NoStep-by-step explanation:
Option 1
$12.80 + 10*$19.99 = $212.70Option 2
$21.59*10 = $215.90Aaron is is wrong, the second option is not better
12 is 90% of what number? Round to the tenth is necessary.
Answers
Answer:
12 is 90% of 13.33.
Step-by-step explanation:
please help me this, this is very urgent!! thank you so much!
Answers
Answer:
EG = 34 FG = 25
Step-by-step explanation:
Answer:
EF = 34
FG = 25
Step-by-step explanation:
We are given that the length of line EG is 59. So we have to first solve for x in order to find the lengths of EF and FG:
(8x - 14) + (4x + 1) = 59
12x - 13 = 59
12x = 72
x = 6
EF:
8x - 14
8(6) - 14
48 - 14
34
FG:
4x + 1
4(6) + 1
24 + 1
25
how could knowing the awsener to 72 divied by 8 help solve 7.2 divied by 8?
i really need help
Answers
Answer:
0.9
Step-by-step explanation:
72÷8= 9
7.2÷8=0.9
if you add a decimal ur answer is going to have a decimal
in this case 7.2 the decimal is in the tenths place so the answer would be 0.9
Please please please help me
Answers
Answer:
131
Step-by-step explanation:
A straight line is 180 degrees and you already have 49 given, so subtract that from 180 and that gives 131 for the congruent angle
An end behavior model for f(x) =
Answers
=====================================================
As x gets larger and larger, all we really care about is the leading terms. This is because 8x^6 is much larger than -16x^3 and 8 for very very large x values. The larger the exponent, the larger the result will be.
So effectively, the leading term 8x^6 dictates the end behavior for the numerator.
In a similar way, the leading term 4x^2 dictates the end behavior for the denominator polynomial.
Divide the two leading terms:
(8x^6)/(4x^2) = (8/4)*x^(6-2) = 2x^4
The rule used here is (a^b)/(a^c) = a^(b-c)
So as x goes to infinity or negative infinity, it's slowly approaching the asymptote y = 2x^4.
HELP!!!! which graph doesn't NOT pass the vertical line test? Graph 1, 2, 3, or 4. I NEED HELP!!
Answers
Using the function concept, it is found that Graph 1 does not pass the vertical line test.
-----------------------
In a function, each value of the input can only be mapped to one respective output value.If it is mapped to more than one value, it is not a function.In a graph, passing a vertical line, if it crosses the function in more than one point, a value of the input x has more than one corresponding output, and thus, is not a function.The image appended in the end shows that graph 1 does not pass the vertical line test.A similar problem is given at https://brainly.com/question/12463448
Is square root of 10 greater than, less than, or equal to 5?
Because 10 lies between two consecutive perfect squares (in increasing order), _______ and ______, 10−−√ is located between the square roots of these two numbers. This means that 10−−√ is located between ______ and _____ , so 10−−√ is less than 5.
Answers
Answer
5.0/5
9
erinna
Ace
3.9K answers
12.8M people helped
Given:
The number is .
To find:
The correct values for each blank.
Solution:
The given number is .
We know that, 10 lies between two consecutive perfect squares 9 and 16, . repeating is located between the square roots of these two numbers.
This means repeating is located between 3 and 4.
So, repeating is less than 5.
Therefore, Blank-1=9, Blank-2=16, Blank-3=3 and Blank-4=4.
The number √10 is less than 5.
Because 10 lies between two consecutive perfect squares 3 and 4.
What is square root of a number?
A square root of a number is a value that multiplied by itself gives the same number.
Given that;
The number is √10.
Now,
The value of √10 = 3.16
Which is less than 5.
Hence, 3.16 < 5
Since, The value of 3² = 9
And, The value of 4² = 16
Thus,
3² < 10 < 4²
So, The number √10 is less than 5.
Because 10 lies between two consecutive perfect squares 3 and 4.
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