Answer:
A) P_n = 1.06(P_(n-1)) - 80
B) 887 fishes
Step-by-step explanation:
A) We are told that the lake initially contains 1000 fishes.
Thus, P_o = 1000
Now, the number of fishes increases by 6% each month
Thus, after n months, we have;
P_n = P_(n-1) + 0.06P_(n-1)
P_n = 1.06P_(n-1)
Where P_(n-1) is the population of fish in the previous month.
We are told that 80 fishes are lost each month.
Thus;
P_n = 1.06(P_(n-1)) - 80
B) We want to find out how many fishes we have after 5 months.
Thus;
P_5 = 1.06(P_(5-1)) - 80
P_5 = 1.06(P_4) - 80
We don't know P_4,thus;
P_o = 1000
P_1 = 1.06(1000) - 80 = 980
P_2 = 1.06(980) - 80 = 958.8
P_3 = 1.06(958.8) - 80 = 936.328
P_4 = 1.06(936.328) - 80 = 912.50768
Thus,
P_5 = 1.06(912.50768) - 80 = 887.2581408 ≈ 887
Round 3.642 to the nearest hundredth
Answer:
3.64
Step-by-step explanation:
Identify the hundredth:
3.642
Check the value of the thousandth:
3.642
If the number is greater than or equal to 5, then we round up.If the number is less than of equal to 4, we round down.
2 is less than four, therefore, we will round down.
3.642 ≈ 3.64
I am only in my first year of 12th grade.
What is the equation of the given line? A. x=−3 B. y=−3 C. x = 1 D. y = 1
Answer:
x=1
Step-by-step explanation:
the line is one unit up from the x axis
A pond has been created in a remembrance garden. It has an approximate diameter of 10 metres. A person walks around the
pond four times a day. How far have they travelled per day to the nearest metre?
(Circumference of a circle is 2T or C=Td, where te=3.14)
Answer:
126 meters
Step-by-step explanation:
First, let's find the circumference of the pond. We know that C = πd, π = 3.14 and d = 10 so the circumference is 3.14 * 10 = 31.4 meters. However, the person walks around the pond 4 times so the answer is 31.4 * 4 = 125.6 meters which rounds to about 126 meters.
Please Halp 0.3x+18=−27
Answer: x=-150
Step-by-step explanation:
To solve for x, we would need to use our order of operations.
0.3x+18=-27 [subtract both sides by 18]
0.3x=-45 [divide both sides by 0.3]
x=-150
the ages of some lecturers are 42 54 50 54 50 42 46 46 48 and 48
find the mean age
Answer:
48
Step-by-step explanation:
add the values of the ages of the lecturers which should give you 434 then divide by the number of lecturers in question
=480/10
=48
Answer:
48.
Step-by-step explanation:
There are a total of 10 lecturers in the list
You find the mean by dividing the sum of all the ages by 10.
The mean age = 480/10 = 48.
BRAINLIEST An artist has a book of clay in the shape of a cube. The edges of the cube measure 3 inches. The artist will use the clay to make models of
pine trees. Each tree will be a solid cone with a base diameter of 1.5 inches and a height of 2 inches.
Part 8
The artist plans to decorate each clay pine tree with pieces of yam that will extend directly from the top of the tree to the base of the tree.
write an equation that can be used to determine the length, x, in inches, of each piece of yam that the artist will need. Explain your
equation
Answer:
a) 22 pine trees
b) x² = 2² + 0.75²
Step-by-step explanation:
a) The volume of a cube is given as:
Volume of cube = length³
The length of the cube = length of the edges = 3 inches, hence:
Volume of cube = (3 inches)³ = 27 in³
The pine tree is the shape of a cone with diameter of 1.5 inches and a height (h) of 2 inches. The radius (r) = diameter / 2 = 1.5 inches / 2 = 0.75 inches.
The volume of the cone = πr²(h/3) = π × (0.75)² × (2/3) = 1.178 in³
The number of pine trees that the artist can make = Volume of cube / Volume of cone = 27 / 1.178 = 22.9
The number of pine trees that can be made = 22
b) The yam length need to extend from the top of the tree to the base is the same as the slant height of the cone.
Let the yam length be x, therefore:
x² = height² + radius²
x² = 2² + 0.75²
x² = 4 + 0.5625 = 4.5625
x = √4.5625 = 2.136 in
The yam length is 2,136 in
A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 3 small boxes has a total weight of 120 kilograms. A delivery of 7 large boxes and 9 small boxes has a total weight of 234 kilograms. How much does each type of box weigh?
Answer:
one large box equals 15.75kg
one small box equals 13.75kg
Step-by-step explanation:
First, identify your variables:
Let "l" represent the weight of one large box.
Let"s" represent the weight of one small box.
Then, stack the two equations on top of each other:
[tex]5l+3s=120\\7l+9s=234[/tex]
Next, multiply the first equation by 3 so we can use elimination of the "s" variable to find the "l" variable first:
[tex]3(5l+3s=120)\\7l+9s=234\\\\15l+9s=360\\7l+9s=234[/tex]
Now, subtract the two equations to cancel out the s-variable and find the l-variable:
[tex]15l+9s=360\\-(7l+9s=234)\\8l=126\\\frac{8l}{8}=\frac{126}{8}\\l=15.75[/tex]
Then, substitute your l-variable in the original first equation to find the s-variable:
[tex]5l+3s=120\\5(15.75)+3s=120\\78.75+3s=120\\78.85-78.75+3s=120-78.75\\3s=41.25\\\frac{3s}{3}=\frac{41.25}{3}\\s=13.75[/tex]
With all the information that is collected, you find that one large box weighs 15.75kg and one small box weighs 13.75kg.
HELP ASAP ROCKY!!! will get branliest.
Answer:
-4Step-by-step explanation:
The equation is y = slope + or - y-intercept
Slope = mx
So the slope is -4
The slope can be found also by having 2 points and doing (y2 - y1)/(x2 - x1). Also, you can do rise over run. These are options for if you have a graph.
Hope this helped,
Kavitha
Answer:
-4
Step-by-step explanation:
y= -4x + 9
y= mx + C
comparing
m= -4
10 points And thank you for whoever answers
Answer:
B) skirt 1, white
skirt 1, black
skirt 2, white
skirt 2, black
Step-by-step explanation:
You can wear skirt type 1 in white or black, or skirt type 2 in white or black
B) skirt 1, white
skirt 1, black
skirt 2, white
skirt 2, black
Im learning about Recursive and Explicit in Pre-Calc, and it says to use the rule to write the first three terms of each sequence. I have no idea how to figure these out. Only know the first one or two because they give it to you but I have no idea how to figure out for a third one. Someone PLZ HELP!!!!!!!
Hello,
4. you have sequences defined by the first term and a recursive relation.
[tex]a_1=3\\\\a_n=2a_{n-1} \ \ \text{ for n}> 1[/tex]
Take n = 2, it gives
[tex]a_2=2a_1[/tex] , right?
But you know [tex]a_1=3[/tex]
so [tex]a_2=2a_1=2*3=6[/tex]
This is the second term. You are asked to find the first three terms.
Now, let's take n = 3
[tex]a_3=2a_2=2*6=12[/tex]
So the first three terms are 3, 6, 12.
6.
[tex]a_1=12\\\\a_2=\dfrac{1}{2}a_1+1=\dfrac{12}{2}+1=6+1=7 \\ \\a_3=\dfrac{1}{2}a_2+1=\dfrac{7}{2}+1=\dfrac{9}{2}[/tex]
8.
[tex]a_1=10\\ \\a_2=-3a_1=-3*10=-30\\\\a_3=-3a_2=-3*(-30)=90[/tex]
10.
[tex]a_1=2\\\\a_2=-1\\\\a_3=a_2+a_1=-1+2=1\\\\a_4=a_3+a_2=1-1=0[/tex]
Do not hesitate if you have any question.
Thank you
The number of violent crimes committed in a day possesses a distribution with a mean of 2.3 crimes per day and a standard deviation of 2 crimes per day. A random sample of 100 days was observed, and the mean. number of crimes for the sample was calculated. Describe the sampling distribution of the sample mean.
A) shape unknown with mean-2.3 and standard deviation 2
B) approximately normal with mean 2.3 and standard deviation 2
C) shape unknown with mean 2.3 and standard deviation 0.2
D) approximately normal with mean 2.3 and standard deviation 0.2
Answer:
B) approximately normal with mean 2.3 and standard deviation 2
Step-by-step explanation:
Given the following :
Mean crimes per day = 2.3
Standard deviation = 2
Number of samples = 100
Sampling distribution of the mean:
According to the central limit theorem:
Sample mean = population mean
2.3 = 2.3
The standard deviation of the sample (s) : ratio of the population standard deviation and square root of the sample size.
s = population standard deviation / √sample size
s = 2 / √100
s = 2 / 10
s = 0.2
The central limit theorem also posits that once ths sample size is large enough, the sampling of the sample mean will be approximately normal.
Hence, the distribution is approximately normal, with mean of 2.3 and standard deviation of 0.2
Simple math but I can't seem to understand it: x+y=2 becomes y=2-x, in order to find slope and y intercept y=mx+b The result becomes slope = -1, y intercept = 2. Though I'm not sure how to get these.
Answer:
See below.
Step-by-step explanation:
We are given the equation:
[tex]x+y=2[/tex]
And we subtracted x from both sides to acquire:
[tex]y=2-x[/tex]
Notice that this is the slope-intercept form:
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept.
If we rearrange our equation, we acquire:
[tex]y = -(1)x+(2)[/tex]
Therefore, m = -1 and b = 2.
In other words, the slope is -1 and the y-intercept is 2.
Answer:
[tex]\Large \boxed{{m=-1, \ b=2}}[/tex]
Step-by-step explanation:
x + y = 2
We need the equation in the form y = mx + b.
m = slope
b = y-intercept
Solve for y by subtracting x from each side.
y = 2 - x
The -x can be written as -1x.
y = 2 - 1x
Rearrange the expression.
y = -1x + 2
The equation is in form y = mx + b.
The slope is -1.
The y-intercept is 2.
Lithium, sodium and potassium are very reactive metals found in Group 1 on the..
Periodic Table. Which of the following facts about this group of elements is related
to its chemical reactivity?
A Neutral atoms of group 1 elements do not have a charge.
B The Alkali Metals contain neutrons in the nucleus.
C The atoms of group 1 elements have one valence electron.
D Group 1 contains more elements than most other groups.
Answer:
Answer is C
Step-by-step explanation:
This is because Lithium =2.8.1
Sodium=2.8.8.1
Valence electron is the electron located in the last shell
Hope this is correct and helpful
HAVE A GOOD DAY!
A wrestling mat used for high school competition is shown. The wrestling circle has a diameter of 28 feet. The inner circle has a diameter of 10 feet. What is the approximate area of the large wrestling circle (not including the inner circle)? Round your answer to the
nearest tenths place.
Answer:
537.2 ft^2
Step-by-step explanation:
For this problem, we need to find the area of both the inner and outer circle and subtract the area of the outer circle from the area of the inner circle.
The equation for the area of a circle is:
A = πr^2
So we are given the diameters of the circles. We know that the diameter of a circle is twice the radius.
Let's find the area of the 10ft diameter circle:
A_Little = π(10/2)^2 = π(5)^2 = 25π
Let's find the area of the 28ft diameter circle:
A_Big = π(28/2)^2 = π(14)^2 = 196π
So the area of the big circle excluding the inner circle would be as follows:
196π - 25π = 171π
So 171π in terms of decimals rounded to the nearest tenth would be 537.2.
Cheers.
Area of big remain circle is 536.94 feet²
Area of circle:Given that;
Diameter of big circle = 28 feet
Diameter of small circle = 10 feet
Find:
Area of big remain circle
Computation:
Radius of big circle = 28 / 2 = 14 feet
Radius of small circle = 10 / 2 = 5 feet
Area of big remain circle = π(R1² - R2²)
Area of big remain circle = 3.14(14² - 5²)
Area of big remain circle = 3.14(171)
Area of big remain circle = 536.94 feet²
Find out more information about 'Area of circle'
https://brainly.com/question/1238286?referrer=searchResults
What are the next three terms in the sequence 2, -4, 8, -16, 32, ...?
Answer:
Hey there!
The next three terms are: -64, 128, -256.
Let me know if this helps :)
Answer:
-64, 128, -256
Step-by-step explanation:
Times -2 every step
What is the area of triangle PQR?
Answer:
area = 2236 in²
Step-by-step explanation:
area of a triangle = 1/2 b h
b = 86
h = 52
plug in values
area = 1/2 * 86 * 52
area = 2236 in²
What is the solution of x⁴– 3x³ + x²+ 3x – 2 < 0
Hello, let's note
[tex]f(x)=x^4-3x^3+x^2+3x-2\\\\f(1)=1-3+1+3-2=0[/tex]
So we can put (x-1) in factor. We are looking for a and b such that
[tex]f(x)=(x-1)(x^3+ax^2+bx+2)=x^4+(a-1)x^3+(b-a)x^2+(2-b)x-2[/tex]
We identify the like terms, it comes
a-1=-3 <=> a = -2
b-a=1 <=> b = 1 + a = -1
2-b=3
So it comes.
[tex]f(x)=(x-1)(x^3-2x^2-x+2)[/tex]
And we can go further using the same method to find that
[tex]x^3-2x^2-x+2=(x-1)(x^2-x-2)[/tex]
The sum of the zeroes is 1=2-1 and the product is -2=(-1)*2, so, we can factorise.
[tex]\boxed{f(x)=(x-1)^2(x+1)(x-2)}[/tex]
The sign of f(x) is the same as the sign of (x+1)(x-2) as a square is always positive.
To find the sign of a product, we can apply the following.
"- multiplied by - gives +"
"+ multiplied by + gives +"
"- multiplied by + gives -"
"+ multiplied by - gives -"
This is this what we are doing below.
[tex]\begin{array}{|c|ccccccc}x&-\infty&&-1&&2&&+\infty\\---&---&---&---&---&---&---&---\\x+1&-&-&0&+&3&+&+\\---&---&---&---&---&---&---&---\\x-2&-&-&-3&-&0&+&+\\---&---&---&---&---&---&---&---\\f(x)&+&+&0&-&0&+&+\\\end{array}[/tex]
So, to answer the question
[tex]\Large \boxed{\sf \bf \ f(x) < 0 <=> -1 < x < 2 \ }[/tex]
Thank you.
What is the ratio between 10 lions and14 tigers
Answer:
10:14
Step-by-step explanation:
10lions:14tigers
Answer:
5:7
Step-by-step explanation:
Lions:tigers = 10:14 = 5:7Someone please help me!!
Answer: B
Step-by-step explanation:
Answer:
Solution : Option B
Step-by-step explanation:
Taking a look at the graph, we can see that the parabola has the following features.
Vertex : (3, - 4)
y - intercept : (0, 5)
x - intercept : (1, 0) and (5, 0)
axis of symmetry : x = 3
The vertex, y - intercept, and x - intercept can all be determined through the intersection of the graph at a certain point. However the axis of symmetry is the line with which splits this parabola into two " similar " parts.
Your solution is option b.
there is a room 7 feet x 9 feet you lay a 1-foot wide plank from corner to corner touching all 4 walls how long is the plank
Answer:
Step-by-step explanation:
l^2=[(7-V2)/2]^2+(9-V2/2)^2=
49-7V2+2/4+81-9V2+2/4=
49+81+4/4-16V2=
131-16V2=108.4 ft
so l=V108.4≈10.4ft
Two sides of a triangle have the same length. The third side measures 7m less than twice the common length. The perimeter of the triangle is 17m. What are the lengths of the three sides? What is the length of the two sides that have the same length?
Answer:
Step-by-step explanation:
I am pretty sure your answer is 3
Answer:
2 sides=5 lonely side =7
Step-by-step explanation:
if the full perimeter is 17 and one side is just 7 then you can subtract 7 from 17 and get ten so then you can divide ten by two and get 5 for both sides.
Find the value of N: 1/N = 1/5 + 1/4 - 1/3 + 1/12
Answer:
1/ N = 1 / 5 + 1/ 4 - 1/ 3 + 1/12
taking L.C.M
Then,
or, 1/N = 5 + 6 / 20 - 13+ 4 / 12
or, 1/N = 11/ 20 - 7/12
or, 1/N = 14 - 12 / 60
or, 1/N = 2 / 60
NOW,
Do cross multiplication,
60 = 2N
or, 60 / 2 = N
so, N = 30
ANS
Susan is buying supplies for a party. Spoons only come in bags of 6 and forks only come in bags of 22.
What is the least number of spoons and the least number of forks she can buy so that she has the same
number of each?
The least number of spoons and the least number of forks she can buy, so that she has the same number
of each, is forks and spoons.
Answer:
11 bags of spoons and 3 bags of forks
Step-by-step explanation:
figure out what common number that multiples of 6 and multiples of 22 share
that number is 66
6x11 = 66 spoons total
22x3= 66 forks total
Simplify 9y+2y-5y please answer
Answer:
[tex]9y+2y-5y=6y[/tex]
Step-by-step explanation:
So we have the expression:
[tex]9y+2y-5y[/tex]
To simplify, simply combine the like terms. Therefore:
[tex]9y+2y-5y\\=11y-5y\\=6y[/tex]
Further notes:
To understand why we can combine like terms in the first place, we just need to use the distributive property. So we have the expression:
[tex]9y+2y-5y[/tex]
Now, factor out a y from the three terms:
[tex]=y(9+2-5)[/tex]
Do all the operations inside the parenthesis:
[tex]y(9+2-5)\\=y(11-5)\\=y(6)=6y[/tex]
And we moved the y back to the front!
This is the same result as before. When combining like terms, this is what we're essentially doing but without doing the distributive property manually. I hope you understand a bit better on how and why we can combine like terms!
Answer:
6y
Step-by-step explanation:
We are given the expression:
9y+2y-5y
and asked to simplify.
Each term in the expression has the same variable, a "y". Therefore, all three terms are like terms. We can combine the like terms in the expression.
First, factor out a y from each term.
9y+2y-5y
(9+2-5)*y
Solve inside the parentheses first. Add 9 and 2.
(11-5)*y
Subtract 5 from 11.
(6)*y
6y
The expression 9y+2y-5y simplified is 6y.
The southward translation of the rose garden is along which axis? What integer represents a change of four yards south?
Going south means you're going in the negative direction along the y axis
Going 4 yards south would be represented as -4 on the y axis number line (this is the vertical number line)
Answer:
Southward translation of the rose garden will move it in the negative y-direction. The integer that represents a change of four yards south is -4.
Step-by-step explanation:
The following table shows scores obtained in an examination by B.Ed JHS Specialism students. Use the information to answer the questions that follow: Score 20-24 25-29 30-34 35-39 40-44 45-49 50-54 55-59 60-64 65-69 Frequency 10 4 10 20 30 15 3 2 1 5.a. Construct a cumulative frequency curve for the data. b. Find the; i. inter-quartile range. ii. 70th percentile class scores. iii. probability that a student scored at most 50 on the examination
Please is urgent .can I get help
Answer:
(a) The cumulative frequency curve for the data is attached below.
(b) (i) The inter-quartile range is 10.08.
(b) (ii) The 70th percentile class scores is 0.
(b) (iii) the probability that a student scored at most 50 on the examination is 0.89.
Step-by-step explanation:
(a)
To make a cumulative frequency curve for the data first convert the class interval into continuous.
The cumulative frequencies are computed by summing the previous frequencies.
The cumulative frequency curve for the data is attached below.
(b)
(i)
The inter-quartile range is the difference between the third and the first quartile.
Compute the values of Q₁ and Q₃ as follows:
Q₁ is at the position:
[tex]\frac{\sum f}{4}=\frac{100}{4}=25[/tex]
The class interval is: 34.5 - 39.5.
The formula of first quartile is:
[tex]Q_{1}=l+[\frac{(\sum f/4)-(CF)_{p}}{f}]\times h[/tex]
Here,
l = lower limit of the class consisting value 25 = 34.5
(CF)[tex]_{p}[/tex] = cumulative frequency of the previous class = 24
f = frequency of the class interval = 20
h = width = 39.5 - 34.5 = 5
Then the value of first quartile is:
[tex]Q_{1}=l+[\frac{(\sum f/4)-(CF)_{p}}{f}]\times h[/tex]
[tex]=34.5+[\frac{25-24}{20}]\times5\\\\=34.5+0.25\\=34.75[/tex]
The value of first quartile is 34.75.
Q₃ is at the position:
[tex]\frac{3\sum f}{4}=\frac{3\times100}{4}=75[/tex]
The class interval is: 44.5 - 49.5.
The formula of third quartile is:
[tex]Q_{3}=l+[\frac{(3\sum f/4)-(CF)_{p}}{f}]\times h[/tex]
Here,
l = lower limit of the class consisting value 75 = 44.5
(CF)[tex]_{p}[/tex] = cumulative frequency of the previous class = 74
f = frequency of the class interval = 15
h = width = 49.5 - 44.5 = 5
Then the value of third quartile is:
[tex]Q_{3}=l+[\frac{(3\sum f/4)-(CF)_{p}}{f}]\times h[/tex]
[tex]=44.5+[\frac{75-74}{15}]\times5\\\\=44.5+0.33\\=44.83[/tex]
The value of third quartile is 44.83.
Then the inter-quartile range is:
[tex]IQR = Q_{3}-Q_{1}[/tex]
[tex]=44.83-34.75\\=10.08[/tex]
Thus, the inter-quartile range is 10.08.
(ii)
The maximum upper limit of the class intervals is 69.5.
That is the maximum percentile class score is 69.5th percentile.
So, the 70th percentile class scores is 0.
(iii)
Compute the probability that a student scored at most 50 on the examination as follows:
[tex]P(\text{Score At most 50})=\frac{\text{Favorable number of cases}}{\text{Total number of cases}}[/tex]
[tex]=\frac{10+4+10+20+30+15}{100}\\\\=\frac{89}{100}\\\\=0.89[/tex]
Thus, the probability that a student scored at most 50 on the examination is 0.89.
How do we do pemdas? What do each letter stand for?
PEMDAS is the order of operation, and is what you follow to solve a expression/equation.
PEMDAS =
Parenthesis
Exponents: This step also includes solving for any roots.
Multiplication
Division
Addition
Subtraction
Answer:
the answer is
Step-by-step explanation:
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Please help: A recipe for a pizza that serves 12 people calls for 2 cups of shredded cheese. If each bag of shredded cheese contains 3 cups, what is the minimum
number of bags required to make pizza for 48 people?
Answer: 3
Step-by-step explanation:
Given: A recipe for a pizza that serves 12 people calls for 2 cups of shredded cheese.
12 people = 2 cups of shredded cheese.
Multiply 4 on both sides , we get
48 people = 8 cups of shredded cheese.
So we require 8 cups of shredded cheese to make pizza for 48 people.
Since, each bag of shredded cheese contains 3 cups.
Then minimum number of bags required = [tex]\dfrac{8}{3}=2.67\approx3[/tex]
Hence, minimum 3 bags required to make pizza for 48 people.
In a regular triangle ABC with side 1, two squares MNKL, RKPT are drawn such that points M, L, R are on the side AC (the order of the points on that side is as follows: A, M, L, R, C). Points P, T are on the side BC (the order of the points on that side is as follows: B, P, T, C). And the point N is on the side AB. Find the lengths of the sides of the two squares.
Answer:
MN = (21 -6√3)/37 ≈ 0.286694RK = (14√3 -12)/37 ≈ 0.331046Step-by-step explanation:
In the attached figure, we have defined LM to be length x. Then the other lengths on side AC are ...
AM = LR = x/√3
RC = (2/√3)RK = (2/√3)(2/√3)x = 4/3x
Then the sum of lengths along AC is ...
AC = AM +ML +LR +RC
1 = x(1/√3 +1 +1/√3 +4/3) = x(7/3 +2/√3) = x(7√3 +6)/(3√3)
Then the value of x is ...
[tex]x=\dfrac{3\sqrt{3}}{7\sqrt{3}+6}=\dfrac{3\sqrt{3}(7\sqrt{3}-6)}{(7\sqrt{3})^2-6^2}=\dfrac{3(21-6\sqrt{3})}{3(49-12)}\\\\\boxed{MN=\dfrac{21-6\sqrt{3}}{37}}\\\\RK=\dfrac{2\sqrt{3}}{3}MN\\\\\boxed{RK=\dfrac{14\sqrt{3}-12}{37}}[/tex]
10 to 7 power equals
Answer: 10,000,000
Step-by-step explanation: when anything rasied to the power you take what ever the Exponaten is and take how everything was there for example 10⁷ 10x10x10x10x10x10x10. And you multiply that.
Answer:
The answer is: 10,000,000
You would do 10 x 10 x 10 x 10 x 10 x 10 x 10