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
Bài 1. Tính
a) 3x(2x – 5)
b) (x+1)(x + 4)
c) (7 – x)( x + 7)
d) ( + 2)2
e) (3 – 2x)2
f) (x – 2)(x2 + 2x + 4)
Bài 2. Phân tích các đa thức sau thành nhân tử:
a) 2−19
b) 2−2+ 2 - 100
c) xz + yz - 5(x + y)
d) 2+3++3
Bài 3. Tìm x biết:
a) 4x2 - 12x = 0
b) x2 – 5x = 0
c) x(2x – 7) + 4x – 14 = 0
Answers
F F F F F F F F F F F F F
Step-by-step explanation:F f
A line has a slope of 1 and passes through the point (-8, -7). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answers
Answer: y = x + 1
Step-by-step explanation:
y = 1x + c
-7 = 1(-8) + c
-7 = -8 + c
-7 + 8 = c
1 = c
y = 1x + 1 or
y = x + 1
Answer:
y+8=m(x+7)
hope this helps:
I used this formula y-y1=m(x-x1)
a data set has these values: 8,10,10,12,12,12,14,14,16.The histogram of the distribution is shown. Which statement does not describe the data set shown?
Answers
Answer:
it has a range of 17
Step-by-step explanation:
I just took it
6. Which of the following is the improper fraction for the mixed fraction 2 5/3
Answers
Answer:
[tex]\frac{11}{3}[/tex]
Step-by-step explanation:
Multiply the denominator by the whole number, then add the numerator.
3 × 2 + 5 = 11
Keep the denominator.
[tex]\frac{11}{3}[/tex]
Answer:
11/3
Step-by-step explanation:
1. To change a mixed number into an improper fraction, multiply the whole number with the denominator of the mixed number. Then, add the numerator of the fraction to the product to get the numerator of the improper fraction. Remember to keep the denominator the same.
2. Given the information above:
[tex]3 * 2 = 6[/tex] [tex]6 + 5 = 11[/tex] 11 = numerator, denominator = 3improper fraction: 11/3Therefore, the answer is 11/3.
A kennel charges $15 per day board dogs. Upon arrival, each dog must have a flea bath that costs $12.
Part A: Write a function rule for the total cost for n days of boarding plus a bath.
Part B: How much does a 10-day stay cost?
Part C: Does a 5-day stay cost half as much as a 10-day stay? Explain.
What I Think:
I think the function rule is C=15+12n.
10-day stay cost: 135
5-day stay: 75. No, a 5-day stay does not cost half as much as the 10-day stay.
Is this correct???
Answers
Your answer makes sense. Though I would recommend using a different variable for each dog at the kennel. Like D. But other than that you're good!
PLEASE HELP!!! ASAP: Decide whether there is enough information to prove that m || n. If so, state the theorem you would use.
Answers
Answer:
Alternative Interior Angles Converse
Step-by-step explanation:
The two angles shown in the figure above are alternate interior angles. Each is located within the two parallel lines intersected by the transversal, and they also lie on opposite side of the transversal.
The pair of angles are Alternate exterior Angle.
What are Parallel lines?The fundamental characteristics listed below make it simple to recognise parallel lines.
Straight lines that are always the same distance apart from one another are called parallel lines.No matter how far apart they are from one another, parallel lines can never intersect.Given:
From the Figure we can see that m is parallel to n.
and, from the property of parallel line we get the following equal angles
Vertical AnglesCorresponding AngleAlternate Interior Angle.Alternate exterior Angle.As, from the figure the pair of angles are Alternate exterior Angle.
Learn more about Parallel line here:
https://brainly.com/question/16701300
#SPJ2
Antonia is using the calculator shown to find the value of 1,035 × 6. What key on the calculator should she press after clearing the calculator?
1
+/–
C
/
Answers
Convert 5 over 9 into a decimal
Answers
Answer: 0.556
Step-by-step explanation:
Answer:
5/9 as a decimal is .5 repeating. I hope this helps.
PLZ ANSWER WILL GIVE BRAINLYEST!!!!
What are the x and y-intercepts of the line described by the equation?
3x−9y=10.8
Question 2 options:
x-intercept = 1.2
y-intercept = -3.6
x-intercept = -1.2
y-intercept = 3.6
x-intercept = -3.6
y-intercept = 1.2
x-intercept = 3.6
y-intercept = -1.2
Answers
Answer:
x-intercept = 3.6
y-intercept = -1.2
Step-by-step explanation:
Can someone help me on this question! It’s really confusing
Answers
is that all of the question?
Can someone pls help me I really need help in here.. PLS…
And if u can explain how you make it I will appreciate it,. Thank u:(((
Answers
Answer:
So, "Compare the following rational numbers," its asking which of them is greater, or if there equal to each other.
So for 3.25 and 3 1/2
3 1/2 is greater
3.25 < 3 1/2 (so it should look like this when the symbol on that side)
and for -4.5 and -4.05
-4.05 is greater.
-4.5 < -4.05 (so the symbol is also on that side.)
A card is drawn randomly from a standard deck of 52 cards. Find the probability of the given event. a red 3
Answers
Answer:
1/13
Step-by-step explanation:
Total number of cards = 52
no.of sample space n(s) = 26
no.of favourable cases n(E) = 2
probability of getting red 3 p(E)= n(E) / n(s)
or, 2 /26
or, 1/13
0.35 x 9 = 3.15
Is this an overstatement understatement
Answers
[tex]over \: \: statement \: \\ \\ 0.35 \times 9 = 3.15 \\ \\ multiply \: 0.35 \times 9 \\ 3.15 = 3.15 \\ \\ so \: the \: answer \: is \: \: overstatemnt \\ \\ hope \: \: it \: \: helps[/tex]
Drag each label to correct location on the image. Identify which equations have one solution, no solution, or infinitely many solutions?
Answers
Answer:
2z+2+4z=16/5+2z-6/5; 5r+2=6r+3-r
One Solution: 3/2x+2.3-1/2x=4.3+x; 2x+2/3=2x+4/5-4x; 32p-2.5+2.1p=5p-7/2
Infinite Solution: 17/4+4.2y-9/4=2.2y+6+2y-4
Step-by-step explanation:
the cash cost is 4700.00 she decides to finance the project by paying 7.0% down and pays 740.00 for 6 months what is the finance charge
Answers
740 x 6 = 4440
Total cost = 329 + 4440 = 4769
The extra cost of instalments = 69
[tex][ 1 1 1 -1\\ 2 0 3 1\\ 4 x 1 -1\\ 1 0 -1 2 ] = 0[/tex]
Answers
Answer:
5hg vb
Step-by-step explanation:
,hgbn
Answer:
−120314x − 11
Step-by-step explanation:
chứng minh rằng S= 5+ 5^2 + 5^3 + ...+ 5^1991 + 5 ^1992 chia hết cho 6
Answers
Answer:
steps below
Step-by-step explanation:
5¹+5² = 30 30/6 = 5¹
5³+5⁴ = 125 + 625 = 750 750/6 = 125 = 5³
5⁵+5⁶ = 18750 18750/6 = 3125 = 5⁵
...........
(5¹⁹⁹¹+5¹⁹⁹²)/6 = 5¹⁹⁹¹
sum of every couple consecutive multiple of 5 are multiple of 6, the sum
S= 5+ 5^2 + 5^3 + ...+ 5^1991 + 5 ^1992 IS multiple of 6
Compute the difference quotient
Answers
Answer:
Step-by-step explanation:
f(x) = -x^2+6x-2
-x^2+6x-2 here we use work sheets or log books
One printing machine printed 700 books in 40 hours this week. A second printing machine printed for
25 hours this week but printed books twice the hourly rate of the first machine. How many books did the
second machine print this week?
Answers
Answer:
875 books
Step-by-step explanation:
1st machine 700 books/40 hours = 17.5 books/hr
2nd machine printed 2x or 35 books/hr
25 hours x 35 books/hr = 875 books
A photograph has a length that is 6 inches longer than its width, x. So its area is given by the expression x(x+6) square inches. If the area of the photograph is 112 square inches, what is the width of the photograph?
The width of the photograph is __inches.
Answers
Solving Steps:
x(x + 6) = 112
x^2 + 6x = 112
x^2 + 6x - 112 = 0
(x + 14)(x - 8) = 0
x + 14 = 0
x = -14
^^^ reject because distance can’t be negative
x - 8 = 0
x = 8
Check:
x(x + 6) = 112
8(8 + 6) = 112
64 + 48 = 112
112 = 112
Which of the strategies below could help you find 72-25? Select all the correct answers.
Answers
Step-by-step explanation:
25+5=30
30+40=70
70+2=72
Let f(t)=4-3t^2. Evaluate f(t+1).
Answers
Answer:
f=4-3t^2/t+1
Step-by-step explanation:
how many 3/4s are in 1 2/4
Answers
Answer:
I think there is 6.
Step-by-step explanation:
Im not 100% sure tho :{
Hope this helps :}
Pls make brainliest :P
And have an amazing day <3
9/2 divided by 3/4
9/2 X 4/3
9/1 X 2/3=18/3 = 6
answer is 6
Explain why there is not enough information to state that CP is the perpendicular bisector of AB.
Answers
Answer:
First, we need to know if AP is equal to PB. We don't really know that CP passed through the midpoint of AB. We also don't know if CPA is equal to CPB. This is why there is not enough information to state that CP is the perpendicular bisector of AB.
Step-by-step explanation:
A perpendicular bisector is a segment that passes through a midpoint of a segment and is perpendicular to it.
-kiniwih426
Write three expressions that are equivalent to 8x + 16.
Answers
Answer:
1. 2(4x + 8)
2. 8(x +2)
3. 4(2x +4)
Step-by-step explanation:
You can check by using the distributive property!
For instance:
2 (4x +8)
2 · 4x = 8x
2 · 8 = 16
= 8x + 16
8(x +2)
8 · x = 8x
8 · 2 =16
= 8x + 16
4(2x +4)
4 · 2x = 8x
4 · 4 =16
= 8x + 16
Hope this is helpful! Let me know if you have any more questions :D
Solve for c.
-2.2 - 0.1c = -1.9
Answer: c = _____
Answers
Answer:
c = -3
Step-by-step explanation:
-2.2 - 0.1c = -1.9
-0.1c = 0.3
c = -3
Hopefully this helps!
Brainliest please?
HELP ASAP......find the slope of the line that passes through the two points (-44.42,5.1) and (4.42,4)
Answers
Answer:
m ≈ -0.225
Step-by-step explanation:
For points (-44.42, 5.1) and (4.42, 4)
slope = (y2 -y1)/(x2 -x1) = (5.1 -4)/ (-44.42 -4.42) = 1.1 / -48.44 ≈ - 0.225
I need help I don't understand.
Answers
Answer:
x=6
Step-by-step explanation:
If x=8, find the value of y in the equation 4x-2y=28
Answers
Answer:
The answer is 2
Step-by-step explanation:
[tex]4x - 2y = 28 \\ 4 \times 8 - 2y = 28 \\ 32 - 2y = 28 \\ 32 - 28 = 2y \\ 4 = 2y \\ devided \: by \: 2 \\ then \\ y = 2[/tex]
Why is 100 4 tens and 14 tens
Answers
Answer:
That's false.
Step-by-step explanation:
4 tens would be 40 added together, and 14 tens would be 140 all together.
