Answer:
73.5in³
Step-by-step explanation:
You multiply the three numbers.
3.5x5.25x4=73.5in³
take a square of arbitary measure assuming its area is one square unit.divide it in to four equal parts and shade one of them.again take one shaded part of that square and shade one fourth of it.repeat the same process continuously and find the sum area of shaded region
Answer:
In recreational mathematics, a square array of numbers, usually positive integers, is called a magic square if the sums of the numbers in each row, each column, and both main diagonals are the same.[1][2] The order of the magic square is the number of integers along one side (n), and the constant sum is called the magic constant. If the array includes just the positive integers {\displaystyle 1,2,...,n^{2}}{\displaystyle 1,2,...,n^{2}}, the magic square is said to be normal. Some authors take magic square to mean normal magic square.[3]
The smallest (and unique up to rotation and reflection) non-trivial case of a magic square, order 3
Magic squares that include repeated entries do not fall under this definition and are referred to as trivial. Some well-known examples, including the Sagrada Família magic square and the Parker square are trivial in this sense. When all the rows and columns but not both diagonals sum to the magic constant we have semimagic squares (sometimes called orthomagic squares).
The mathematical study of magic squares typically deals with its construction, classification, and enumeration. Although completely general methods for producing all the magic squares of all orders do not exist, historically three general techniques have been discovered: by bordering method, by making composite magic squares, and by adding two preliminary squares. There are also more specific strategies like the continuous enumeration method that reproduces specific patterns. Magic squares are generally classified according to their order n as: odd if n is odd, evenly even (also referred to as "doubly even") if n is a multiple of 4, oddly even (also known as "singly even") if n is any other even number. This classification is based on different techniques required to construct odd, evenly even, and oddly even squares. Beside this, depending on further properties, magic squares are also classified as associative magic squares, pandiagonal magic squares, most-perfect magic squares, and so on. More challengingly, attempts have also been made to classify all the magic squares of a given order as transformations of a smaller set of squares. Except for n ≤ 5, the enumeration of higher order magic squares is still an open challenge. The enumeration of most-perfect magic squares of any order was only accomplished in the late 20th century.
Magic squares have a long history, dating back to at least 190 BCE in China. At various times they have acquired occult or mythical significance, and have appeared as symbols in works of art. In modern times they have been generalized a number of ways, including using extra or different constraints, multiplying instead of adding cells, using alternate shapes or more than two dimensions, and replacing numbers with shapes and addition with geometric operations.
The sum area of shaded region is [tex]\frac{1}{3}[/tex].
Summation formula for geometric progressionThe formula to find the sum of infinite geometric progression is
[tex]S_{n}=\frac{a_{1}(1-q^{n}) }{1-q} \ \ q \ne 1[/tex]
Given
S = [tex]\frac{1}{4} +\frac{1}{16} +\frac{1}{64} +.........[/tex]
Using geometric progression
S = [tex]\lim_{h \to \infty} [\frac{1}{4} +(\frac{1}{4} )^{2} +(\frac{1}{4} )^{3} +.........+(\frac{1}{4} )^{n}][/tex]
Using summation formula for geometric progression
[tex]S_{n}=\frac{a_{1}(1-q^{n}) }{1-q} \ \ q \ne 1[/tex]
= [tex]\lim_{h \to \infty} \frac{\frac{1}{4} (1-(\frac{1}{4} )^{n} }{1-\frac{1}{4} }[/tex]
= [tex]\lim_{h \to \infty} \frac{\frac{1}{4} (1-\frac{1}{4^{n} }) }{\frac{3}{4} }[/tex]
= [tex]\lim_{h\to \infty} \frac{1}{3}(1-\frac{1}{4^{n} } )[/tex]
[tex]\lim_{h\to \infty} \frac{1}{4^{n} }[/tex] = 0
S = [tex]\frac{1}{3}(1-0) = \frac{1}{3}[/tex]
The sum area of shaded region is [tex]\frac{1}{3}[/tex].
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I need help in this question
Answer:
C. 12/15
Step-by-step explanation:
2/3, 6/9, and 18/27 all simplify to 2/3. 12/15 does not.
Answer:
C. 12/15
Step-by-step explanation:
As it is mentioned above, the below text is the explanation, if you were here for the answer, it is above.
The question is asking which ratio is not equivalent. To simplify a ratio, divide all of the numbers in the ratio by the same number until they cannot be divided anymore.
So when we look at A. we see that you can not simplify 2/3 anymore. Hence:
A (simplified version): 2/3
When we look at B. we see that the ratio, or fraction, is 6/9. The numerator, or the top number, is 6, while the denominator (the number on the bottom), is 9. The GCF (The greatest common factor, or GCF, is a term used to describe the biggest number that can divide evenly into two or more numbers. Sometimes, this is also referred to as the greatest common divisor, GCD, or highest common factor, or HCF. A factor is a smaller number that can divide evenly into that number) of 6 and 9 is 3. So we divide the numerator and the denominator (both) by 3 to get to 2/3. Hence:
B (simplified version): 2/3
Now, when we look at C. we see that the ratio is 12/15. What is the GCF of 12/15? The GCF is 3. So we divide the numerator and the denominator by 3 to get:
C (simplified version): 4/5
Moving on to D. Let's make it quick. The ratio is 18/27. The GCF is 9. So we divide the numerator and the denominator by 9 to get::
D (simplified version): 2/3
If:
A (simplified version): 2/3
B (simplified version): 2/3
C (simplified version): 4/5D (simplified version): 2/3
The one fraction that is not equivalent? I'll let you figure that out for yourself!
Hope I was able to help zahrahimran1 (and anyone else)! Have a nice rest of the day!
What is the relationship between the area of ABCD and the area of EFGH? Quadrilateral ABCD with side measures 18 for AB, 24 for BC; quadrilateral EFGH with side measures 6 for EF, x for FG The ratio of the area of ABCD to the area of EFGH is 1:9. The ratio of the area of ABCD to the area of EFGH is 3:1. The ratio of the area of ABCD to the area of EFGH is 1:3. The ratio of the area of ABCD to the area of EFGH is 9:1.
Answer:
The ratio of the area of ABCD to the area of EFGH is 9:1.
Step-by-step explanation:
Let us assume that the shapes are rectangles and they are similar. If the two shapes are similar then their sides are in the same proportion. Therefore the ratio of the sides are in the same proportion.
[tex]\frac{AB}{BC}=\frac{EF}{FG}\\ \\\frac{18}{24}=\frac{6}{x}\\\\18x=24*6\\ \\x=\frac{24*6}{18}=8[/tex]
The area of ABCD = AB × BC = 18 × 24 = 432
The area of EFGH = EF × FG = 6 × 8 = 48
The ratio of the area of ABCD to the area of EFGH = Area of ABCD / Area of EFGH = 432 / 48 = 9/1 = 9 : 1
Please please please help
Answer:
m = 4
Step-by-step explanation:
9/6=6/m
9m = 36
m = 4
Determine the intercepts of the line.
y= 10x - 32
y-intercept:
x-intercept:
Answer:
see below
Step-by-step explanation:
To find the x intercept set y =0 and solve for x
0= 10x - 32
32 = 10x
Divide by 10
3.2 = x
The x intercept
( 3.2,0)
To find the y intercept set x =0 and solve for y
y= 0 - 32
y = -32
( 0, -32)
Answer:
(0, -32)
(3.2, 0)
Step-by-step explanation:
The line is in slope intercept form. It is easy to identify the y-intercept.
[tex]y=mx+b[/tex]
The y-intercept is (0,-32). '-32' replaces the 'b' in the equation.
To find the x-intercept, set the value of 'y' to zero and solve for 'x'.
[tex]0=10x-32\\\\0 + 32 = 10x-32+32\\\\32=10x\\\\\frac{32}{10}=\frac{10x}{10}\\\\\frac{32}{10}=x\\\\\rightarrow \frac{32/2}{10/2}=\frac{16}{5}\\\\ \boxed{x=\frac{16}{5}}[/tex]
The x intercept is (16/5, 0).
This can also be expressed as (3.2, 0).
Hope this helps.
The cost of milk is modeled by a linear equation where four quarts (one gallon) costs $3.09 while two quarts
(half-gallon) costs $1.65. Write the linear equation that expresses the price in terms of quarts. How much would
an eight-quart container of milk cost?
Answer:
linear equation to express the price is:
y=0.72x+0.21
An eight quarts will cost : $5.97
Step-by-step explanation:
linear equation represent y=mx+b
let x=quarts ( x=4, x=2)
y= price (3.09 and y=1.65 )
two points (4,3.09) and (2,1.65)
need to find the slope m:
y2-y1/x2-x1
(1.65-3.09)/(2-4) ⇒ m=0.72
y=0.72x+b find b at point (2,1.65)
1.65=0.72(2) +b ⇒ b=0.21
y=0.72x +0.21
check : point (4,3.09)
y=0.72(4) +0.21
y=3.09 ( correct)
An eight quarts will cost :
y=0.72(8)+0.21
y=5.97 dollars
I need help! Answer as fast as you can. Marking brainlyiest
Answer:
A
Step-by-step explanation:
We can break down what each term represents in the equation
60 is the constant. This is the base price that is paid regardless of workers and hours needed
Then there is 12nh. 12 represents the cost per hour for one worker. If the job takes only one hour, then it is 12 dollars per worker. Similarly, if the job only takes one person, then it is 12 dollars for each hour.
The most accurate answer is A
What is the perimeter (in centimeters) of a rectangle with length 4.5 cm and width 8.2 cm
Answer:
25.4 cm
Step-by-step explanation:
will make it simple and short
2*b + 2*h
2*4.5 + 2*8.2 = 25.4 cm
Hey there! I'm happy to help!
The perimeter is the distance around the rectangle.
In a rectangle, there are two pairs of opposite sides, and those opposite sides are equal. They are known as the length and the width.
In a rectangle, you have two sides that have the same length and two that have the same width. If you add these all up, you get the perimeter.
If our length is L and our width is W, we can write this equation.
P=2L+2W
So, we can plug in our lengths and widths to find the perimeter!
P=2(4.5)+2(8.2)
P=9+16.4
P=25.4
Therefore, our perimeter is 25.4 cm.
Have a wonderful day! Feel free to message me if you have any questions! :D
HELP IM BEING TIMED!!
Answer:
Value of x is 8
Step-by-step explanation:
Given:
[tex]\sqrt{\frac{896z^{15}}{225z^6} }=\frac{xz^4}{15} \sqrt{14z}\\\\Computation: \\\\From\ squaring\ both\ side\\\\ {\frac{896z^{15}}{225z^6} }=\frac{x^2z^8}{225} ({14z})\\\\896z^9=14x^2z^9\\\\896=14x^2\\\\64=x^2\\\\x = 8[/tex]
So, Value of x is 8
The Cartesian coordinate system can be applied to three-dimensional solids. Instead of two axes, the coordinate system has three. What are the labels? Check all that apply.
A. z
B. y
C. a
D. x
E. w
Answer:
its z y and x
Step-by-step explanation:
can i pls get brainliest
Solve the equation for x.
5x - ( 4x - 1) = 2
1
a.
C.
1
9
bi
b. - 1
d.
1
Answer:
x = 1
Step-by-step explanation:
5x - (4x - 1) = 2
Let's get rid of the parenthesis
Multiply whatever is in the parenthesis by -1 since there is a minus sign before it
5x - 4x + 1 = 2
Move common terms to one side, so subtract 1 from both sides
5x - 4x + 1 = 2
- 1 - 1
5x - 4x = 1
Subtract the 5x by 4x
x = 1
Answer:
x = 1
Step-by-step explanation:
5x - (4x - 1) = 2
5x - 4x + 1 = 2 {Distribute property (-1) is distributed with 4x and (-1)}
Combine like terms
x + 1 = 2
Subtract 1 from both sides
x = 2 - 1
x = 1
Approximate 0.007349 to 3 significant figures
Answer:
Hey there!
That would result in 0.00735.
Let me know if this helps :)
Hence, the significant figures are [tex]0.00735.[/tex]
What is the approximation?
An approximation is anything that is similar, but not exactly equal, to something else. A number can be approximated by rounding. A calculation can be approximated by rounding the values within it before performing the operations.
Here given that,
Approximate [tex]0.007349[/tex] to significant figures
So, the significant figures are [tex]0.00735.[/tex]
Hence, the significant figures are [tex]0.00735.[/tex]
To know more about the approximation
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In the expression 3v - 8, what is the variable a= V b= - c= 3 d= 8
Answer:
a. v
Step-by-step explanation:
Given
[tex]3v - 8[/tex]
Required
Identify the variable
Literary, variable means things that change in values;
Going by this definition, we have that:
3 -> This is not a variable because its value will always be 3
v -> This is a variable because its value can change once its value changes, the result of the expression will also change
- -> This is not a variable; it is an arithmetic operator to subtract
8 -> This is not a variable because its value will always be 8
Take for instance
[tex]v = 2[/tex]
[tex]3v - 8 = 3 * 2 - 8 = 6 - 8 = -2[/tex]
When [tex]v =5[/tex]
[tex]3v - 8 = 3 * 5 - 8 = 15 - 8 = 7[/tex]
Notice that there's a difference in both results;
This is as a result of v being a variable
HELP HELP HELP Sally can paint a room in 4 hours. Joe can paint a room in 6 hours. How
long will it take if they paint the room together? I’m not sure if it’s 1.4
Answer:
2 hrs, 24 min
Step-by-step explanation:
Sally: in one hour, she can paint 1/4 of the room.
Joe: in one our, he can paint 1/6 of the room
Hour one: 1/4+1/6=3/12+2/12=5/12
1÷5/12=1*12/5=12/5
12/5= 2 & 2/5 hours, or 2.4 hours, or 2 hrs 24 minutes
Answer: 2.4 hours
Step-by-step explanation:
1/4 1/6
LCM
3/12+2/12=5/12 repricical 12/5 =2.4
If f(x) = 2(x − 5), find f(8). 4 6 8 16
Answer:
f(8) = 6
Step-by-step explanation:
Plug in 8 as x in the function:
f(x) = 2(x − 5)
f(8) = 2(8 - 5)
f(8) = 2(3)
f(8) = 6
Answer:
[tex]\large \boxed{\mathrm{6}}[/tex]
Step-by-step explanation:
[tex]f(x)=2(x-5)[/tex]
Replace x with 8 to find f(8).
[tex]f(8)=2(8-5)[/tex]
Evaluate.
[tex]f(8)=2(3)[/tex]
[tex]f(8)=6[/tex]
Solve for g.
-3+5+ 6g = 11 – 3g
g =
Answer:
g = 1
Step-by-step explanation:
-3 + 5 + 6g = 11 - 3g
Move the variables to one side and the numbers to the other:
9g = 9
Simplify:
g = 1
Answer:
g=1
Step-by-step explanation:
-3+5=2
2+6g=8
11-3g=8
makes sense that g will have to be 1
LAST QUESTION TO MY SUMMER HOMEWORK PLEASE HELP 'BRAINLIEST i will give 25 POINTS at ONCE also its a simple question please answer it quickly I thank you very much and will answer a non math question if you would like.
Answer:
Step-by-step explanation:
here,
132 degree + 54 degree + x + 90 degree = 360 degree ( angles around a point)
therefore ,
x+ 276 degree =360 degree
x = 360-276
x= 84 degree
hope it helps and pls do mark my answer as the brainliest.............
Math nation section 2
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Must click thanks and mark brainliest
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Edgar has test scores of 87, 92, 90, 84, 88, and 91. What is the lowest grade Edger can get on the next test to have an A average (90 or higher)?
A. 94
B. 96
C. 98
D. 100
Answer:
C. 98
Step-by-step explanation:
If you add all of his previous test scores and go through the list of numbers you get C.98 as the answer. I added all of his test scores plus 98 which equals 630 divided by 7 (because if he got a 98 there would be 7 test scores) you would get 90 or an A average.
=============================================================
Explanation:
Let x be the next test grade. It ranges from 0 to 100, inclusive of both endpoints.
The original set {87,92,90,84,88,91} becomes {87,92,90,84,88,91,x} after adding on that score.
We have 7 scores now. We find the average by adding up those seven scores and dividing by 7.
average = (sum of the scores)/(number of scores)
average = (87+92+90+84+88+91+x)/7
average = (532+x)/7
We want the average to be 90 or higher, so we would then have these steps
[tex]\text{average} \ge 90\\\\\frac{532+x}{7} \ge 90\\\\532+x \ge 90*7\\\\532+x \ge 630\\\\x \ge 630-532\\\\x \ge 98\\\\[/tex]
This means Edgar must score a 98 or higher on the seventh test in order for his overall average to be 90 or higher.
In other words, the lowest test score he can get is a 98.
------------------
Extra info (optional section):
Let's say Edgar gets the highest score possible.
So he gets x = 100
This would mean
average = (87+92+90+84+88+91+x)/7
average = (532+x)/7
average = (532+100)/7
average = 632/7
average = 90.2857 which is approximate
We can see that his overall average would stick to 90 if the teacher is rounding to the nearest whole number.
Repost because someone answered without actually giving an answer. What is the mode of the data shown in the table? Scores: 5 12 13 18 Frequency: 3 2 5 4 A. 12 B. 51.5 C. 12.5 D. 13
Answer:
Option (D) : 13
Step-by-step explanation:
Mode is the observation which occurred the most number of time.
Therefore, mode = 13
Which graph represents the given equation?
y
=
NICO
+ 4r – 2
Equations can be represented on graphs by plotting the corresponding x and y values. The graph of [tex]y = \frac{3}{2}x^2 + 4x - 2[/tex] is option (B).
Given that:
[tex]y = \frac{3}{2}x^2 + 4x - 2[/tex]
First, we check the y intercept of [tex]y = \frac{3}{2}x^2 + 4x - 2[/tex]
This is when [tex]x = 0[/tex]
So, we have:
[tex]y = \frac{3}{2}x^2 + 4x - 2[/tex]
[tex]y = \frac{3}{2} \times 0^2 + 4\times 0 - 2[/tex]
[tex]y = - 2[/tex]
This point is represented as: [tex](0,-2)[/tex]
Next, check the equation when [tex]x = 1[/tex]
So, we have:
[tex]y = \frac{3}{2}x^2 + 4x - 2[/tex]
[tex]y = \frac{3}{2} \times 1^2 + 4\times 1 - 2[/tex]
[tex]y = 3.5[/tex]
This point is represented as: [tex](1,3.5)[/tex]
From the list of given options (see attachment).
Only graph B has the [tex](0,-2)[/tex] and [tex](1,3.5)[/tex] on its curve.
Hence, option (B) is correct.
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Answer:
Equations can be represented on graphs by plotting the corresponding x and y values. The graph of is option (B).
Step-by-step explanation:
y intercept is -2y = 3/2x^2 + 4x – 2y = 3/2(0^2) + 4(0) – 2 = -2and x intercepts are0 = 3/2x^2 + 4x – 2aboutx = 0.43050087, -3.09716754
PlZ HELP NOW ASAP!!!
Answer:
x=33
Step-by-step explanation:
x for ?
sinx=opposite/hypotenuse
sinx=162.5/298=0.54530201
convert to degrees using arcsin(0.54530201)= 33.043
33 degrees rounded to the nearest ones
Solve for p.
–
19p–2p+16p+12=
–
18
p=
Answer:
6
BRAINLIEST, PLEASE!
Step-by-step explanation:
-19p - 2p + 16p + 12 = -18
-5p + 12 = -18
-5p = -30
p = 6
Answer:
p = 6
Step-by-step explanation:
Given
- 19p - 2p + 16p + 12 = - 18 ( simplify left side )
- 5p + 12 = - 18 ( subtract 12 from both sides )
- 5p = - 30 ( divide both sides by - 5 )
p = 6
How would you write The difference of 9 and the square of a number
Answer:
9 - n^2
Step-by-step explanation:
Answer: 9-x^2
Step-by-step explanation:
no work needed
Simplify: 5^(x+2)-4×5^x÷21×5^x
Answer:
(1/21)(21×5^(x+2)-4×5^2x)
Step-by-step explanation:
5^(x+2)-4×5^x÷21×5^x
= 5^(x+2)-4×5^2x/21
= 1/21(21×5^(x+2)-4×5^2x)
I need help. What is (-5/3)²
Answer:
Exact form:
25/9
Decimal form:
2.(7)
Mixed fraction form:
2 7/9
Step-by-step explanation:
Hope you found this helpful
Answer:
(-5/3)² = 25/9
Step-by-step explanation:
(a/b)ⁿ = aⁿ / bⁿ
(-5/3)² = -5² / 3² = 25 / 9
Boston wheel chair marathon how long would it take to run a 30 mile race
Using the Distributive Property to factorize the equation 3x2 + 24x = 0, you get
Answer:
3x(x+8)=0
x=0,-8
This is how to solve for x.
I'm really confused with this plz help
Answer:
4 terms
constant 10
third term is -7z
coefficient of the second term is 3
Step-by-step explanation:
-5x+3y -7z +10
There are 4 terms, -5x, 3y ,-7x, 10
The constant is the term without the variable ( letter)
The constant is 10
The third term is -7z
The coefficient is the number in front of the variable
The coefficient of the second term 3y is 3
For part a, we are asked how many terms does this expression have.
Well a term can be a number, a variable, or it can
even be a number times one or more variables.
So the terms would be -5x, +3y, -7z, and +10.
For part b, we are asked what is the constant.
Usually, constants are numbers all by themselves.
So here, the constant would be 10.
In part c, we are asked what is the third term.
Well, looking at the expression, we can see that -7z is the third term.
Finally, what is the coefficient of the second term.
The coefficient is the number before your variable.
So here, the coefficient would be 3.
How many minutes will it take a caterpillar to go seven feet if it travels 24 inches per minute? To travel seven feet, it will take the caterpillar a0 minutes.
Answer:
3 and and half minutes--> 7ft
Step-by-step explanation:
If it travels 24 inches aka 2ft per minute
then it has to travel 12 inches aka 1ft in 30secs
SO
3mins and 30secs to travel 7ft
24inches--- 2ft---- per minute
4ft--- 2 mins
6ft---- 3mins
7ft--- 3minutes and 30 seconds