Joseph is playing with blocks to create a design. With each step he continues to add
blocks. How many blocks will be required in the 5th and 6th step? Explain how you
know.
Answers
Answer:
times by 2 because it keeps going up by times 2 the number of blocks
9514 1404 393
Answer:
5th: 32
6th: 64
The number doubles at each step.
Step-by-step explanation:
Sequence problems are always tricky. Any finite list of numbers can always be represented by a polynomial, and can include any arbitrary next number. Generally, you are asked to find a simple rule that can explain the sequence shown and can be used to predict the continuation of the sequence.
It is often useful to look at the differences between values and/or their ratios. The sequence of block counts is ...
2, 4, 8, 16
1st differences are 4 -2 = 2, 4, 8 . . . . . the differences match the sequence
ratios are 4/2 = 2, 8/4 = 2, 16/8 = 2 . . . . . . the ratio is common: 2
We observe that each number of blocks is double the one before, and that the number of blocks is a power of 2 equal to the step number.
The blocks in the 5th step will be 2^5 = 32.
The blocks in the 6th step will be 2^6 = 64.
_____
Additional comment
It also looks like the shape alternates between a rectangle and a square. The 5th step will probably be a rectangle, and the 6th step will be a square.
Related Questions
Calvin works at a pizza place making pizzas. If he is working alone, he can make an average of 15 3/4 per hour. If he works with his friend Megan, he tends to get distracted, and his rate falls by 1/2 per hour. How many pizzas can Calvin make in a 8- hour shift with Megan?
Explain the operations that will be needed to solve this problem, ans then solve it.
Answers
The fraction 1/2 converts to 0.50 in decimal form.
The mixed number 15 & 3/4 is the same as 15.75
If Calvin is distracted, then he makes 15.75-0.50 = 15.25 pizzas per hour on average.
Multiply by 8 to find the total number of pizzas possible.
8*15.25 = 122
Answer: Calvin can make 122 pizzas overall if he is distractedCalvin can make 122 pizzas in an 8-hour shift with Megan.
Since Calvin works at a pizza place making pizzas, and if he is working alone, he can make an average of 15 3/4 per hour, but if he works with his friend Megan, he tends to get distracted, and his rate falls by 1/2 per hour, to determine how many pizzas can Calvin make in a 8-hour shift with Megan, the following calculation must be performed:
Rate of pizzas made x number of hours = Total number of pizzas (15 3/4 - 1/2) x 8 = X (15.75 - 0.5) x 8 = X 15.25 x 8 = X 122 = X
Therefore, Calvin can make 122 pizzas in an 8-hour shift with Megan.
Learn more in https://brainly.com/question/14963327
if 8 ^ x=2 sqrt 2 find the value of x.
Answers
Answer:
[tex]{ \rm{ {8}^{x} = \sqrt{2} }} \\ \\ { \rm{ {2}^{3x} = {2}^{ \frac{1}{2} } }} \\ \\ { \rm{3x = \frac{1}{2} }} \\ \\ { \rm{x = \frac{1}{6} }}[/tex]
Find the volume of the prism.
3 cm
37 cm
5 cm
Answers
which one is this a b c d e the thing on the side dosent matter
Answers
Answer:
21.5m²
Step-by-step explanation:
Area for a square: LxW = A
10x10=100m²
Area for a circle: pi r² = A
pi(5)²=78.5m²
Find the difference:
100m²-78.5m² = 21.5m²
what is the value of p(x)=4x+15 ?
Answers
Answer:
The answer is 10x
Step-by-step explanation:
Please help I don’t understand it
Answers
This is because when x=1, y=3 and when x=2, y=6 so that is a constant change over each interval as seen in the graph which is 3 :)
Sorry its blurry but please answer fast!!!!!
Answers
Answer:
i know 14 and 15 are true but not sure about 12 sry
Step-by-step explanation:
HELPP
subtract a from 9, double the result, then add 10 to what you have
Answers
Answer:
Step-by-step explanation:
9 - a = 9 -a
9 - a + 10 = 19 - a
Write the equation of the line with a slope of -3/4 and a y-intercept of 8 in slope
intercept form
Answers
13 12 28 candy bars and 42 packs of gum were put in gift bags. The same number of candy bars and the same number of packs of gum were put in each bag. What is the greatest number of gift bags that could be made?
Answers
Answer:
Step-by-step explanation:
(-8r^2s^-8)(-3r^-7s^8)
Answers
24r^−5s^0 would be your answer
Which equation describes a line that passes through the points (0, -3)
and (2,7)?
Answers
Answer:
y = 5x - 3
Step-by-step explanation:
What is the value of x in the equation 3x-y = 30, when y = 15?
Answers
62663773828hfnmdmsmlap62sjdldleldlb
f
[tex]x=200[/tex]
Explanation:
Okay so we can start by substituting in [tex]y[/tex] as we know what it is already:
[tex](\frac{1}{5} )x-(\frac{2}{3} )(15)=30[/tex]
Now at this stage we could use a calculator to figure out what [tex]\frac{2}{3}[/tex] of [tex]15[/tex] are though a bit of mental math is as easy:
[tex](\frac{15}{3} )[/tex] · [tex]2=[/tex] [tex]5[/tex] · [tex]2[/tex]
okay so now we have:
[tex](\frac{1}{5} )x-10=30[/tex] add 10 to both sides to get rid of the [tex]-10[/tex]
[tex](\frac{1}{5})x=40[/tex] let's get rid of that fraction by multiplying by [tex]5[/tex]
and there's the solution for x
We can check we got this right by substituting it back into the original equation with the known y:
[tex](\frac{1}{5} )(200)-(\frac{2}{3})(15)=30[/tex]
now, and we already know what out of is so :
that means
which is ✓
Therefore we know our solution is right.
7x - 3= -3 + 7x find x
Answers
I think x equals either 0 or 1 cause if you solved for x you would just end up with 0=0 so I think it would be x=0
pls help me with this math
Answers
can anyone heelp me pls pls
Answers
Answer: liquid= lotion capsule= solid suspension=semisolid
Step-by-step explanation:
Under his cell phone plan, Alonso pays a flat cost of $53.50 per month and $3 per gigabyte. He wants to keep his bill at $59.80 per month. Write and solve an equation which can be used to determine gg, the number of gigabytes of data Alonso can use while staying within his budget.
Answers
Answer:
Alonso can use 2.1 gigabytes while staying within his budget.
Step-by-step explanation:
53.50 + 3x = 59.80
3x = 59.80 - 53.50
3x = 6.3
x = 6.3 ÷ 3
x = 2.1
Alonso can use 2.1 gigabytes while staying within his budget.
Determine the equation of the line passing through the point below having the corresponding slope.
Point: ( -20, -34)
Slope: m =9/5
Write your answer as an equation in the form y=mx+b
Answers
Answer:
Step-by-step explanation:
-34 = (9/5)(-20) + b
b = -34 + 36 = 2
y = (9/5)x + 2
In which quadrant does the point (3 , 19) lie?
A.
Quadrant I
B.
Quadrant II
C.
Quadrant IV
D.
Quadrant III
Answers
Answer:
A.
Quadrant I
Step-by-step explanation:
Quadrant I= Both co=ordinates positive.
Tristan is ordering a taxi from an online taxi service. The taxi charges $3 just for the pickup and then an additional $1.50 per mile driven. How much would a taxi ride cost if Tristan is riding for 9 miles? How much would a taxi ride cost that is mm miles long?
Answers
Answer:
$ 16.50
y = 1.50m + 3
Step-by-step explanation:
1.50(9) + 3 = $16.50
What is 8 units to the left of (3, -7)
Answers
Answer:
(-5,4)
Step-by-step explanation:
Don’t answer on this or ur sus
Answers
>:)
heheheheheheheherhehehehreh
What is the y-intercept of the line graphed on the grid?
A) -1
B) 2
C) -2
D) 1
Answers
Hope this helps:)
helppppppppppppppppppppppppppppppppppppp
Answers
Answer:
(m÷3)+2in
Step-by-step explanation:
(m÷3) represents the division of Myron's height and 3
+2 is the extra 2 inches
Hope this helps! :)
I have more question just don't get it wronge
Answers
Answer:
Relfection over the x axis
Step-by-step explanation:
It is the name shape but flipped onto the other side, therefore it is a reflection
Is it fair to give only 5 points for such a big question?
Answers
Answer:
No
Step-by-step explanation:
Because you (or whoever asks) shouldn't give only 5 points to such a big question, because whoever answers the question might have worked really hard to answer it while you just gave them only 5 points...its not worth answering of only 5 points. In my opinion at least ♀️
Hope what I said makes sense :)
What is the value of x in the diagram below? If necessary, round your answer
to the nearest tenth of a unit.
14
х
B
L
D
с
30
O A. 30.1
B. 6.5
C. 14
O D. 16
Answers
Answer:
D. 16
Step-by-step explanation:
The function
y = 3.5x + 2.8 represents the cost y (in dollars)
of a taxi ride of x miles,
a. Identify the independent and dependent variables
Answers
Dependent variable: y
Solve. −2x−35=87 Enter your answer in the box. x =
Answers
Hello there! I am Grace Rosalia (SilentNature), and I hope my answer will help you! :)
-2x-35=-87
-2x=-87+35
-2x=-52
Divide both sides by -2 to isolate x:
x=26
Hope this helps you! :)
~Just a joyful teen
[tex]SilentNature[/tex]
The solution of the given equation is x = -21.
How to solve a linear equation?A linear equation can be solved by equating the LHS and RHS of the equation following some basic rules such as by adding or subtracting the same numbers on both sides and similarly, doing division and multiplication with the same numbers.
The given equation can be solved as follows,
−2x − 35 = 87
=> -2x = -35 + 87
=> -2x = 42
=> x = -42/2
= -21
Hence, the value of x for the given equation is -21.
To know more about linear equation click on,
https://brainly.com/question/11897796
#SPJ2
What is the value of k?
2k+9=7−3k
k=−2
k=−0.4
k = 2
k = 3.2
Answers
Answer:
k = -0.4
General Formulas and Concepts:
Pre-Algebra
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
2k + 9 = 7 - 3k
Step 2: Solve for k
[Addition Property of Equality] Add 3k on both sides: 5k + 9 = 7[Subtraction Property of Equality] Subtract 9 on both sides: 5k = -2[Division Property of Equality] Divide 5 on both sides: k = -0.4