Answer:
1,2,4,8,16,32,64,128
Step-by-step explanation:
You just multiply the number by two to get the next number in the pattern
Three equal squares are superimposed as indicated in the figure. The areas of the overlapping zones are 2 cm², 5 cm², and 8 cm², respectively. The total area of the non-overlapping area of the squares is 117 cm². What is the length of the side of each square?
Answer: The square side lengths are 1 cm, 5 cm, and 11 cm.
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Explanation:
Refer to the diagram below.
Define the following areas
A,B,C = non-overlapped regionsD,E,F = overlapped regionsIt doesn't really matter how you set up the labels, or what letters you pick, as long as you stay consistent.
We're told that "The areas of the overlapping zones are 2 cm², 5 cm², and 8 cm²", so let's make
D = 2E = 5F = 8Furthermore, we are told that "The total area of the non-overlapping area of the squares is 117 cm²" which means A+B+C = 117
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Refer to the diagram. For now, focus on the upper right square. It has regions A, E, and F. The area of this square is A+E+F
Similarly, the area of the left-most square is D+B+E
The area of the bottom-most square is C+F+D
Add up the expressions we found and we get
(A+E+F)+(D+B+E)+(C+F+D) = A+B+C+2D+2E+2F
This represents the sum of all three square areas even if we peeled the squares apart to not overlap.
----------------------------------------
Let's plug in A+B+C = 117
We get
A+B+C+2D+2E+2F
117+2D+2E+2F
Now plug in D = 2, E = 5, and F = 8
117+2(2)+2(5)+2(8)
117+4+10+16
117+30
147
The sum of the three square areas is 147 square cm.
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Now we have to do a bit of trial and error. We're looking for ways to break up 147 such that it is a sum of three squares.
In other words, we want to find integers m,n,p such that m^2+n^2+p^2 = 147
Let's try subtracting off 121
147-121 = 26
I picked 121 since it's the largest perfect square just smaller than 147
Repeat this process, but do so for 25 since 25 is smaller than 26
26-25 = 1
We can see that
1 + 25 + 121 = 147
1^2 + 5^2 + 11^2 = 147
One solution is m = 1, n = 5, p = 11. There may be other solutions. Keep in mind that m,n,p are positive whole numbers.
So we got a bit lucky with our trial and error process. If we didn't find such a triple, we'd have to try other possible combos of squares until we get the right match.
Because 1^2 + 5^2 + 11^2 = 147, this means the squares' side lengths are 1, 5, and 11.
Solve the equation
(- 5 + 7)5x+ 4=16
The solutions are:
Answer:
x=2
Step-by-step explanation:
Answer:
x=1.2
Step-by-step explanation:
Point k lies at (-3,4). Point k is reflected over the y-axis and then translated 7
units down to produce K'. Which rule could have been used to produce K' from K?
K(x, y) +K'(x,y-7)
K(x,y) →K'(-x, y-7)
K(x,y) →K'(x, -y-7)
K(x,y) → K'(-x-7.-y-7)
Answer:
b
Step-by-step explanation:
Answer:B
Step-by-step explanation:
A recursive rule for a sequence is given. Find the first four terms of the sequence.
f(1) = 2
f(n) = 4. f(n – 1), where n is an integer and n > 2.
Answer:
So...
a0 = -2
a1 = (a0)2 - 4 = 4 - 4 = 0
a2 = (a1)2 - 4 = ((a0)2-4)2 - 4 =...= 02 - 4 = -4
For an+1, you may use the previous term (an) if you have just calculated it, rather than calculating it recursively again
a3 = (-4)2 - 4 = 12
The first four terms in the sequence are -2, 0, -4, 12.
Step-by-step explanation:
This recursive sequence is defined as follows:
a0 = -2 [the first term]
an+1 = an2 - 4 [for all other terms, n≥0; note that you cannot find a0 using this line]
Note that this is not "BASE" for a number base, but it is "SUB" for subscript, indicating the term. Sometimes, sequences are written with the first term being a1 and sometimes sequences are written with the first term being a0. This is because there are situations that make one or the other more convenient (for example, starting with elapsed time t=0 makes sense).
To find the value of later terms, a recursive definition requires that you find the value of the previous term, which requires that you find the value of the previous term, which requires that you find the value of the previous term, which requires that you find the value of the previous term, ... which requires that use the value of the first term.
That's why (joke) that the dictionary definition of "recursive" is "see recursive."
Can anyone help me out solving this?
Answer: 25
Step-by-step explanation: When you divide exponents with the same base, you can subtract the exponents. It becomes 5^4-2, which is 5^2, which is 25
What is the simple interest earned when the principal is $500 at a rate of 10% held in the ban for 8 months?
S.I= PRT /100
where,
P = price $500
R = rate 10%
T = time =8months
= $500*10*8/100
= $40,000/100
S.I = $400
Find an ordered pair (x,y) that is a solution to the equation
3x-y=6
Answer:
2,0
Step-by-step explanation:
Use special right triangle ratios to find the length of the hypotenuse.
45°
18
457
A. 18V3
B. 1872
Answer:
Step-by-step explanation:
The length of the hypotenuse is 18√2.
What is hypotenuse?The longest side of the triangle is called as the hypotenuse.
In a right angled triangle, sin 45° = perpendicular /hypotenuse
here, perpendicular side P = 18 units and the hypotenuse H is unknown.
sin 45° = 18 /H
H = 18√2
Thus, the hypotenuse is 18√2.
Learn more about hypotenuse.
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Help please! I need an explanation but I dont understand this!!!!!!!
Answer:
its to small
Step-by-step explanation:
PLEASEEEEE HELLLPPP MEEE
Answer:
100
Step-by-step explanation:
Tina is taking picture of her friends. if she sets a tripod level on the ground, will the bottom of each of the legs of tripod be coplanar
Answer:
Yes
Step-by-step explanation:
What is the area of a rectangle with a length of 1/3 yards and width of 3/4 yard?
Answer:
1/4 yards squared
Step-by-step explanation:
Area of a rectangle equals length times width.
1/3 x 3/4 = 3/12, or 1/4
Answer:
It would be 1/4 and if not try 3/12
Step-by-step explanation:
I hope this helped
Angela is planting flowers in her flowerbed. She wants the ratio of tulips to roses to be 5 to 2. If a total of 63 flowers are planted, how many tulips should there be?
Answer:
45 Tulips
Step-by-step explanation:
63/7=9
Tulips: Roses=5:2
Tulips=9x5=45
Roses=9x2=18
The median age of the science teachers at Mike's school is the same as the median age of the math teachers, but the
ages of the math teachers show greater variability. Which statement most likely describes the data sets?
O The difference in ages between the oldest and youngest math teachers is greater than the difference in ages
between the oldest and youngest science teachers.
There are more math teachers than science teachers at Mike's school.
The average age of the math teachers at Mike's school is greater than the average age of the science teachers.
The oldest teacher in Mike's school is a mathematics teacher.
dyit
Answer:
A
Step-by-step explanation:
THe guy above me explained
The difference in ages between the oldest and youngest math teachers is greater than the difference in ages between the oldest and youngest science teachers. Option A is correct.
What is the median?When a dataset is ordered, the median is the value that is exactly in the middle. It is a measure of central tendency that distinguishes between the lowest and top 50% of data.
Here,
The age gap between the oldest and youngest math teachers is larger than the age gap between the oldest and youngest science teachers. Option A is a true statement, while all other options are invalid.
Thus, the difference in ages between the oldest and youngest math teachers is greater than the difference in ages between the oldest and youngest science teachers. Option A is correct.
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A typical tip in a restaurant is 15% of the total bill. If the bill is $160, what would the typical tip be?
Answer:
24$
Step-by-step explanation:
15%=0.15
160*0.15=24
Grades are due and I NEED THIS TO PASS
Create an equation with one solution of x = −9.
7x − (x − 26) = 2x − ( + x)
1 Remove parentheses.
7x-x+26=2x−x
2 Cancel -x on both sides.
7x+26=2x
3 Subtract 7x from both sides.
26=2x−7x
4 Simplify 2x-7x to -5x.
26=−5x
5 Divide both sides by -5.
26/-5=x
6 Switch sides.
x=26/-5
7 Simplify.
x=-5.2
Which of the following is the most likely the next step in the series ?
Answer:
I believe the likely awnser is c because it is adding one more side on each step.
What is the answer to 1112÷1/3
Answer:
3336
Step-by-step explanation:
pls give brainliest
Answer:
3336
Step-by-step explanation:
1112 divided by 1/3 is 1112 times 3/1=
3336
Solve the following equation with rational coefficients
0.8x = 6
y’all really should help me .
Answer:
I think its x=48
Step-by-step explanation:
Answer:
X = 7.5
Step-by-step explanation:
0.8x = 6
x = 6/0.8
x = 7.5
Complete the first step in the solution
4x= 24 4x/ = 24/
4x6=24. i hope this helps if not im sorry
help one question! but pls show work
Answer:
5
Step-by-step explanation:
cant show work i need to draw then
Answer:
-28k^4
Step-by-step explanation:
Which polynomial is in standard form?
N
O 26x5 + 12x7-8x3 + 6x
O 3x5 +x-6x2 + 5
11x5-6x2-9x+12
5x2 + 18x3 - 12x4 +4x7
Answer:
i am pretty sure it is D
Step-by-step explanation:
Answer:
Its C.) 11x^5 - 6x^2 - 9x + 12
Step-by-step explanation:
ejenuwitee
=D
=P
find m
right anwser gets brainliest
Answer:
The measure of <FDE is 18°
I NEED HELP W 36
pls pls pls pls help help!
Answer:
1
Step-by-step explanation:
When you substitute the inside of f(g(2)), you get g(x)=2-4. Then you substitute that answer of -2 and plug it into f(x)=2x+5. Since f(-2)=2(-2)+5 equals to 1, that should be your answer.
How many blueberries on the on cake roof
Answer:
say what
Step-by-step explanation:
You earn 90% on a quiz. If you earned 36 points, how many points was the quiz worth?
Answer:
36/90%=40
Step-by-step explanation:
40 points in total
please help i will give brainliest what is 50-(20)
Answer:
30
Step-by-step explanation:
Answer:I believe its 30
Step-by-step explanation:
Find the slope of the line graphed below.
Answer:
-3/5
Step-by-step explanation:
So first, you have to find out the two points :
(-1,-1), and (4,-4)
Next, you have to put into this formula:
y1-y2/x1-x2
The y values in our points are -4 and -1, and our x values are 4 and -1. Lets now substitute:
-4-(-1)/4-(-1)
Now simplify: -4+1/4+1, and solve and you will get -3/5 as the slope
If you liked it, please give me a good rating and please mark me as the brainliest... Thanks!
Hope you do well on your assignment!
What’s the quotient ? I’m helping out with my sisters homework once again and I don’t wanna explain it to her. Please help me ;-;
Answer:
quotient is the answer to division. So if 7/2=3 with a remainder of 1, then the quotient is 3
What is the Domain and range of y=(x-1)^2-4