Graham is folding a piece of paper to make an origami figure. Each time he folds the paper, the thickness of the paper is doubled. The paper starts out flat, with a thickness of 3 millimeters.
A. Write a list of six ordered pairs showing the output as the thickness of the paper when the input is the number of times it is folded. Explain how you came up with your ordered pairs.
B. Is this relation a function? Explain why or why not using the ordered pairs you came up with in Part A.
Answers
Answer:
A. Graph attached
B. It's a function. One input has only one output, it passed the vertical line test.
Step-by-step explanation:
a₀ = 3 a₁ = 6 = 3 x 2¹ a₂ = 6 x 2 = 3 x 2² ..... aₙ = 3 x 2ⁿ
answer graph attached
A list of ordered pairs may or may not represent a function.
The six ordered pairs are: [tex]\mathbf{(x,y) = \{(0,3),(1,6),(2,12),(3,24),(4,48),(5,96)\}}[/tex].The ordered pair is a function.(a) The ordered pair
Let x represent the number of folds, and y represent the thickness.
So, the first ordered pair is:
[tex]\mathbf{(x,y) = (0,3)}[/tex]
When x increases by 1, the value of y gets doubled.
So, the six ordered pairs are:
[tex]\mathbf{(x,y) = \{(0,3),(1,6),(2,12),(3,24),(4,48),(5,96)\}}[/tex]
(b) Is the ordered pair, a function
In (a), we have:
Every x value has a different corresponding y value.
This means that the ordered pair is a function.
Read more about functions and relations at:
https://brainly.com/question/6241820
Related Questions
please help I'm trying to get a A
Answers
Answer:
Im pretty sure the answer is A beacause all the other options seem to be wrong
Step-by-step explanation:
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Eddie drank 3/4
liter of water Monday before going jogging. He drank 3/5
liter of water after his jog. How much water did Eddie drink altogether? Write your answer WRITE AS A MIXED NUMBER
Answers
Answer:
3/4 x 5 = 15/20
3/5 x 4 = 12/20
15/20 + 12/20 = 27/20
Hope this helps!
Solve for x. X^2 = 1/4. Look at the picture for answer choices. Don't answer if you dont know.
Answers
Answer:
x is equal to ± 1/2
Step-by-step explanation:
To find x, we simply need to take the square root of both sides:
x² = 1/4
√(x²) = √(1/4)
x = √(1/4)
x = ± 1/2
Solve the inequalities by graphing. ldentify the graph that shows the following equations. PLS PLS HELP ME
will mark branliest
Answers
Pls help!!! I will give brainlist
Answers
Answer:
The answer is B :)
Step-by-step explanation:
Answer:
The answer is b :)
Step-by-step explanation
Hannah is driving 680 miles from Nashville to Orlando . If she has 306 miles left to drive, what percent of the trip has she driven ?
Answers
Answer:
Step-by-step explanation:
680 - 306 = 374
374/680 = 11/20 =
55%
What is 0.4 written as a percentage (show work if can)
Answers
Answer:
40%
Step-by-step explanation:
Move the period over twice then place the percentage sign where you moved the period to
Answer:
40%
multiply both numerator and denominator by 100. You do this to find a equivalent fraction having 100 as the denominator. The fraction is 40 over 100, 100 represents the whole thing 40 is the part so it's basically part over whole. 40% is your answer. I'm sorry if my explanation made no sense
What happens to a sphere if you double the length of its radius? Check all that apply.
The sphere gets bigger.
The sphere gets smaller.
The diameter doubles.
The diameter quadruples.
The surface area doubles.
The surface area quadruples.
Answers
Answer:
The right answers are: The sphere gets bigger/The diameter doubles/The surface area quadruples.
Step-by-step explanation:
From Geometry, we remember that surface area and volume of the sphere are represented by:
[tex]A_{s} = 4\pi\cdot r^{2}[/tex] (1)
[tex]V = \frac{4\pi}{3}\cdot r^{3}[/tex] (2)
Where [tex]r[/tex] is the radius of the sphere. The diameter is two times the radius of the sphere.
If the radius of the sphere is doubled, then the sphere gets bigger, the diameter is double, the surface area is doubled and the volume is octupled. Therefore, the right answers are: The sphere gets bigger/The diameter doubles/The surface area quadruples.
Answer:
The sphere gets bigger , the diameter doubles, the surface area quadruples
Step-by-step explanation:
got it right on edge
You know that Mike gets paid $45 for 3 hours and $105 for 7 hours. How much money will Mike make if he babysits for 8.5 hours?
Answers
Answer:
$127.50
Step-by-step explanation:
$45/3 = $15 per hour
$15 x 8.5 = $127.50
Answer:
127.50 dollars
Step-by-step explanation:
He makes $15/an hour because $45/3 = $15. 15 x 8.5 = $127.50.
There is
5/8
of an apple pie left from dinner. Tomorrow, Victor plans to eat
1/8
of the pie that was left.
Enter how much of the whole pie he will eat tomorrow.
Answers
Answer:1/2 or 4/8
Step-by-step explanation:
its began with 8/8 and then 3/8 got eaten and 5/8 were left and then victor ate 1/8 which mean that half the pie is left
Find the perimeter and area of following rectangle
Answers
3ab^2 + 3ab^2 + 5a^2b^4 + 5a^2b^4
= 6ab^2 + 10a^2b^4
Area:
3ab^2 x 5a^2b^4 = 15a^3b^6
How you write 2 5/3 using radical notation
Answers
Answer:
2^5/3 = (2^5)^1/3 = 32^1/3 = ∛32
Step-by-step explanation:
3.3. Shuffle a deck of cards and turn over the first card. What is the probability that the first card is a
Answers
Answer:
P(H) = 13 ÷ 52
Step-by-step explanation:
The computation of the probability that the first card be the heart is given below:
We assume that each and every card in the deck would be likely to be the first card
Here we assume the Hi that represent the first card drawn be the heart
NOw
P(Hi) = 1 ÷ 52 for
1 < = i < =13.
The H event would be represent as the disjoint union
H = H1 U H2 U.....U H13
P(H) = 13 ÷ 52
If 3 people share 4 cookies equally how many cookies will they get
Answers
Answer:
1.33333333
Step-by-step explanation:
Answer:
0.75
Step-by-step explanation:
i’m giving brainliest.
Answers
x(a) y(a) (3,1) x(b) y(b) (-3,-7)
x(a)+x(b)/ 2
y(a)+y(b)/ 2
3+ -3 /2
1+-7/2
0/2 , -6/2
(0,-3)
Зу - 2(5y - 7) = -9y + 6
Answers
Answer:
y = -4
Step-by-step explanation:
3y - 2(5y - 7) = -9y + 6 (Given)
3y - 10y + 14 = -9y + 6 (Distribute)
-7y + 14 = -9y + 6 (Add like terms)
2y + 14 = 6 (Add 9y on both sides)
2y = -8 (Subtract 14 on both sides)
y = -4 (Divide 2 on both sides)
You can check by substituting the solution for y:
3(-4) - 2(5(-4) - 7) = -9(-4) + 6
-12 - 2(-20 - 7) = 36 + 6
-12 - 2(-27) = 42
-12 + 54 = 42
42 = 42
A hospital bill is estimated to be $480,000. It ends up actually costing the patient $524,50. What percent of error is in the bill? Round to the nearest tenths place.
Answers
Answer:
8.5 %
Step-by-step explanation:
The formula used her :
\text{Percent error }=\dfrac{|\text{Estimated value-Actual value}|}{\text{Actual value}}\times100Percent error =
Actual value
∣Estimated value-Actual value∣
×100
Given : A hospital bill is estimated to be $480.00 it ends up actually costing the patient $524.50 .
Then, the percent of Error in the bill will be :
\begin{gathered}\text{Percent error }=\dfrac{|480-524.50|}{\text{524.50}}\times100\\\\=\dfrac{|-44.5|}{524.50}\times100\\\\=\dfrac{44.5}{524.50}\times100\\\\=8.48427073403\approx8.5\%\end{gathered}
Percent error =
524.50
∣480−524.50∣
×100
=
524.50
∣−44.5∣
×100
=
524.50
44.5
×100
=8.48427073403≈8.5%
[Rounded to the nearest tenth]
Hence, the percent of Error in the bill = 8.5%
Jina made 3 identical necklaces, each having beads and a pendant. The total cost of the beads and pendants for all 3 necklaces was $12.60. If the beads cost $2.70 for each necklace, how much did each pendant cost?
Answers
Answer:
each pendant cost 1.5
Step-by-step explanation:
2.7+2.7+2.7+1.5+1.5+1.5=12.60
A circle has a diameter of 16 mm. How long is its radius?
Answers
16 mm/2 = 8 mm
Solution: 8 mm
Answer: 8mm, to find radius from diameter just split it in half.
PLS HELP ASAP Solve the system of linear equations by substitution. show work
Answers
Answer:
(-2,8)
Step-by-step explanation:
To solve by substitution, first isolate a variable in one of the equations. Then, substitute the value of the variable from that equation into the other equation, giving either the x or y value of the solution. Finally, substitute that answer back into one of the two equations, finding the other missing value.
1) For both of the equations, the variable y has already been solved for. So, we can choose to substitute whatever y equals in one equation for the y in the other equation. Any choice is fine - I chose to substitute -4x for the y in y = 3x + 14.
[tex](-4x) = 3x + 14\\-7x = 14\\x = -2[/tex]
2) Now that x has been solved for, substitute the value for the x in one of the equations. Any choice is fine here, too - I chose to substitute -2 in y = -4x:
[tex]y = -4(-2) \\y = 8[/tex]
3) Both the x and y value of the solution has been solved for. x = -2 and y = 8. Therefore, the solution is (-2,8).
can someone please answer meeee
Answers
Answer:
25
Step-by-step explanation:
a^2+b^2=c^2
24^2+7^2=c^2
576+49=625
then square
25=c
c^2 = 7^2 + 24^2
c^2 = 49 + 576
c^2 = 625
c = 25
Widest part of the slot is 25cm
Find the angle in degrees
Answers
Answer:
90 degrees
Step-by-step explanation:
its a 45-45-90 triangle
A square garden has area of 396 square feet . What is the exact length of one side of the garden PLEASE HELP I NEED TO TURN THIS IN
Answers
Answer:
I think it's 19.8
Step-by-step explanation:
because in order to find the side length if u have the area you have to find the square root of it
I hope it helps :D
Which list of numbers is in order from least to greatest value? *
Integers
A. |-5|, |-2|, |3|, |4|
B. |-5|. |3|, |-1|, |0|
C. |6|. |7|, |-5|, |28|
D. |0|, |-4|, |5|, |-7|
Answers
absolute value makes the inside positive always
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
I DONT KNOW HOW TO GRAPH SO CAN YOU SHOW ME HOW TO DO IT
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answers
Answer:
1- solve for x
2- put it in the bottom left square
Step-by-step explanation:
Solve x and y 3x-4y=18,9x+2y=12
Answers
Answer:
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find the equation of the line perpendicular to AB and passing midpoint of AB
Answers
Answer:
The equation of the line perpendicular to and passing through its midpoint is equals negative a quarter plus three-quarters.
What is the solution to the equation? 36x-20=160
Answers
+ 20 + 20
36x = 180
—— ——
36 36
ANSWER: x = 5
Answer:
x=5
Step-by-step explanation:
36x-20=160
first, find the value of x
add 20 from both sides
36x-20=160
+20 +20
36x=180
then, divide 36 from both sides to get x by itself
36x/36=140/36
x=5
now, plug x into the equation to check your work
36(5)-20=160
multiply 36 and 5
180-20=160
subtract 20 from 180
180-20=160
find the area of square if the length of its diagonal is 18 cm
Answers
Answer:
324
Step-by-step explanation:
Pleaseeee answer this is timed 20 points
Answers
Answer:
A
Step-by-step explanation:
