Joyce’s teacher asks her to write the sequence formed by the number of red squares in each picture for the first five pictures. What sequence should Joyce write?
Answers
Answer:
Joyce should write [tex]1,8,64,512,4096[/tex]
Step-by-step explanation:
Let's analyze the procedure of how the pictures are formed.
Her teacher said the images were created by taking a red square, dividing it into 9 smaller squares, and removing the center square.
For the first two images we can see and count that there is 1 red square in the first picture and 8 red squares in the second picture.
For the third image, there are 8 squares formed by 8 red squares each one.
The number of red squares is 8 x 8 = 64
We can write the sequence as
1 , 8 , 64 ⇒ 1 , 8 , [tex]8^{2}[/tex]
For the fourth picture we can do the same reasoning and figure out that there are 8 x 8 x 8 = 512 red squares in the fourth image.
The sequence so far is
1 , 8 , 64 , 512 ⇒ 1 , 8 , [tex]8^{2}[/tex] , [tex]8^{3}[/tex]
We can generalize the sequence and write that the sequence is :
[tex]8^{n}[/tex] with [tex]n[/tex] ∈ IN ⇒ The first five numbers will be
[tex]8^{0},8^{1},8^{2},8^{3},8^{4}[/tex] = [tex]1,8,64,512,4096[/tex]
Related Questions
(7x7x7x7x7x7x7)-3x-3x-3
Answers
Answer:
823516
Step-by-step explanation:
hope this helps
Answer:
7^7 times -3^3, or -22235661
Step-by-step explanation:
In which expression should the exponents be multiplied? (4 points)
Answers
Determine the slope of a line containing the points
C (1,8) and D (3, 3). Write your answer in the form of a
fraction.
Answers
Answer:
The answer is
[tex] - \frac{5}{2} [/tex]Step-by-step explanation:
The slope of a line given two points can be found by using the formula
[tex]m = \frac{y _{2} -y _{1}}{x _{2} - x _{1}} [/tex]where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
C (1,8) and D (3, 3)
The slope is
[tex]m = \frac{3 - 8}{3 - 1} = \frac{ - 5}{2} [/tex]We have the final answer as
[tex] - \frac{5}{2} [/tex]Hope this helps you
Answer:
-5/2
Step-by-step explanation:
the answer is
A scale drawing of a school bus has a scale of 1 inch to 10 feet. If the length of the school bus is 2 1/2 inches on the drawing, what is the actual length of the bus?
Answers
Answer: 25 feet
Step-by-step explanation:
Answer:
25 feet
Step-by-step explanation:
10 times 2 is 20 and half of 10 is 5 so 20 and 5 = 25
P + 4 Solve for p
--------- = 5
6
Answers
Answer:
p = 26
Step-by-step explanation:
(p+4)/6 = 5
Multiply each side by 6
(p+4)/6 *6 = 5*6
p+4 = 30
Subtract 4 from each side
p+4-4 = 30-4
p = 26
Find k so that the line through(k-1,k+2) and (4,-1) is perpendicular to the line through (-3,2) and (2,5).
Answers
Answer:
k = 2
Step-by-step explanation:
Perpendicular lines have slopes opposite reciprocalFormula to find a slope:
m = (y₂-y₁)/(x₂-x₁)Coordinates of the first line:
(k-1, k+2) and (4, -1)Coordinates of the second line:
(-3, 2) and (2, 5)Slopes of the lines:
m₁ = (-1 - k -2)/(4 - k + 1) = - (k + 3)/-(k -5) = (k + 3)/ (k - 5)m₂ = (5 - 2)/ (2 + 3) = 3/5Since m₁ = - 1/m₂, we have:
(k + 3)/ (k - 5) = - 5/33(k + 3) = -5(k - 5)3k + 9 = - 5k + 253k + 5k = 25 - 98k = 16k = 2So the answer is 2
Write the word phrase for the equation 7x + 10 = 14 divided by x
Answers
Step-by-step explanation
ten plus x multiplied by seven is equal to fourteen divided by X
How do I rewrite a quadratic into graphing form
Answers
Step-by-step explanation:
Standard form of a quadratic is f(x) = ax² + bx + c.
To convert to vertex form, the simplest method is to find the x-coordinate of the vertex using h = -b/(2a).
Then, plug back into the equation to find the y-coordinate of the vertex. k = f(h).
Finally, the leading coefficient is the same as the standard form, a.
f(x) = a(x − h)² + k
Another method is to complete the square.
The sum of two numbers is 4 and the difference is -6. What is the product of the two numbers?
Answers
Answer: 4
Step-by-step explanation:
the sum of two numbers is 4
the two numbers are 2
2+2=4-6
hope this helps
plz mark brainliest
Classity 2 and 1 using all relationships that apply.
Supplementary
Vertical
Complementary
Adjacent
Linear Pair
7
Pls help
Answers
Answer:
Vertical Angles
Step-by-step explanation:
Vertical Angles are the angles opposite each other when two lines cross.
It is found that angle 2 and angle 1 are vertically opposite angles.
What is vertically opposite angles?The vertically opposite angles are those angles that are opposite one another at a specific vertex and are created by two straight intersecting lines.
Thus, Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles.
Also, When you slice a given object vertically (perpendicular to the ground level), then the sliced surface is called vertical cross section.
WE have to Classity 2 and 1 using all relationships that apply.
Therefore, we can see that angle 2 and angle 1 are vertically opposite angles.
Learn more about vertically opposite angles;
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8. Why is it NOT useful to view science as a set of facts?
Answers
(assuming this isn't actually for math?) but one reason is bc science shouldn't be always taken as fact. science can be wrong.
Explanation:
not all but many scientists are skeptical and won't accept anything without proof, and even when things are accepted as right they can still be wrong later. example: humans once believed the planets revolved around the earth and that the earth was flat (even, some people still believe the earth is flat today....) but both those things are generally unaccepted today.
science shouldn't be viewed as fact always, because accepting everything as fact will lead to misassumptions and false information. it's like we should never take things for granted
This is my honest opinion
Science is not just facts. Science, to me, is full of theories and hypotheses that can be proved wrong. Yes, a majority of it is actually factual, but in the future it may or may not be true.
I hope it helps.
can someone help me? help
Answers
Answer:
Step-by-step explanation:
Remove the brackets
3x*x^2 - 5x*3x + 3x*1 - 2x^2+3x -7
Combine
3x^3 - 15x^2 + 3x - 2x^2 + 3x - 7
3x^3 17x^2 +6x - 7
Randy is four times as old as Kenneth and Randy is 36 years older than Kenneth
i) How old is Kenneth?
ii) How old is Randy?
Answers
Answer:
Kenneth: 12 years old
Randy: 48 years old
Step-by-step explanation:
For this problem, we can use system of equations to solve. Let's use r for Randy and k for Kenneth.
Equation 1
r=4k
This equation comes from the first part, where Randy is four times as old as Kenneth.
Equation 2
r=36+k
This equation comes from the second part, where Randy is 36 years older than Kenneth.
Since we have r=, we can use substitution method.
4k=36+k [subtract both sides by k]
3k=36 [divide both sides by 3]
k=12
Now that we have found k, we can plug that into any equation to find r.
r=4(12) [multiply]
r=48
Now, we know that Randy is 48 years old and Kenneth is 12 years old.
16x^3
And divide
10x^1
Answers
Answer:
8x^3/5
Step-by-step explanation:
Evaluate the exponent
16x^3/10
Factor 2 out of 16x^3
2(8x^3)/10
Cancel the common factors
Factor 2 out of 10
2(8x^3)/2(5)
Cancel the common factor
(8x^3)/5
Rewrite the expression
8x^3/5
I hope this helps! :)
Find the distance between each pair of points (-6,-10) , (-2,-10)
Answers
Answer:
4 units
Step-by-step explanation:
Use the distance formula, d = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex], where (x1, y1) and
(x2, y2) are 2 points
Plug in the points given
d = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]
d = [tex]\sqrt{(-6 + 2)^2 + (-10 + 10)^2}[/tex]
d = [tex]\sqrt{(-4)^2 + (0)^2}[/tex]
d = [tex]\sqrt{16 + 0}[/tex]
d = [tex]\sqrt{16}[/tex]
d = 4
So, the distance between the points is 4 units
The distance between each pair of points (-6,-10) , (-2,-10) is 4 units after using the distance formula.
What is a distance formula?It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.
The distance formula can be given as:
[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
It is given that:
The points are (-6,-10) , (-2,-10)
Using distance formula:
[tex]\rm d=\sqrt{(-2-(-6))^2+(-10-(-10))^2}[/tex]
d = √16
d = 4 units
Thus, the distance between each pair of points (-6,-10) , (-2,-10) is 4 units after using the distance formula.
Learn more about the distance formula here:
brainly.com/question/18296211
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A diver descends 90 feet in 5 minutes. What is the
diver's change in depth per minute?
Answers
Answer:
18 feet/min
Step-by-step explanation:
Divide 90/5 to find the diver's change in depth per minute 18 feet per minute is the answerTwo angles are supplementary and have equal measures. What must
the measure of each angle be?
Answers
Answer:
These angles are called angle pairs. ... Supplementary angles are two angles whose sum is equal to \begin{align*}180^\circ\end{align*}. In other words when you add the measure of one angle in the pair with the other angle in the pair, they equal 180 degrees.
Step-by-step explanation:
Hope this helps you <3
Please help it would help out alot
Answers
Answer:
p = 2mr+q
Explanation:
You have to get p by itself. Multiply each side by r. Then add q to each side. You should get 2mr + q = p.
A line with a slope of 1/7 passes through the points seven and one what is it equation in slope intercept form
Answers
Answer:
y=1/7x
Step-by-step explanation:
Plug into Point slope form:
y - 1= 1/7( x -7)
y -1 = 1/7 x -1
y -1 +1 = 1/7x -1 +1
y= 1/7x
How does a whale fall community affect ocean sediment? The decomposition of the whale enriches the sediment. The remains of the whale pollute the sediment. The sediment is transformed into food for mussels and crabs. The bacteria that are attracted break down the sediment nearby.
Answers
Answer:
The decomposition of the whale enriches the sediment.
Step-by-step explanation:
Answer:
The answer is A
Step-by-step explanation:
I just took the test and it was correct
hopefully this helps you :)
pls mark brainlest ;)
Is this a function yes or no
Answers
Answer:
yes
Step-by-step explanation:
I think so
Which fraction has a decimal equivalent that is a repeating decimal?
a
141/47
b
19/3
c
13/65
d
11/19
Answers
Answer:
b.......19/3...I. guess
38503.45 in standard form
Answers
Hey there!
ANSWER:[tex]38503.45[/tex]EXPLANATION:38503.45 in standard form.
The decimal 38503.45 is already in standard form. Try multiplying [tex]38503.45[/tex] by [tex]10^0[/tex].
[tex]38503.45*10^0=38503.45\\38503.45(ANSWER)[/tex]
The answer is the same as the decimal. That is because it was already in the standard form.
Hope this helps!
[tex]\text {-TestedHyperr}[/tex]
Convert 10 mL/sec to L/min
Answers
Step-by-step explanation:
1000 mL = 1 L
10 mL = 1/1000 × 10 = 0.01 L/sec
60 sec = 1 min
1 sec = 1/60 min
0.01 L/sec
= 0.01 L × 60
= 0.6 L/min
10 mL/sec = 0.6 L/min
Linear function that are proportional always pass through what point
Answers
Answer: Directly proportional relationships they always pass through the origin (0,0). There are other linear relationships that dont pass through the origin.
25 PTS: This is pretty simple, I tried to ask my maths teacger for help but she was very vague and i am still stuck.
Answers
Answer:
Both RSA and AST measure 27.1
Step-by-step explanation:
Since SA, "bisected" (split in half by equal parts) angle RST, the RSA and AST is equal
therefore 54.2 / 2 =27.1
Bisect- means the segment halved/split the angle into 2 equal parts
A local church has a rectangular fellowship room that it will expand by increasing the
length by 20 feet to form a larger rectangle. If the current dimensions of the room
are unknown, write an algebraic expression for the perimeter of the new room.
Answers
Answer:
perimeter of new room = 2[(l+20)*b]
Step-by-step explanation:
Javier used the expression below to represent his score in a game of mini-golf.
3x + x + 5 – 2x
If he simplifies the expression, which statements are true about the parts of the simplified expression? Select three options.
Answers
Answer:
I don't get it
Step-by-step explanation:
Plzzz help!!!! DUE TODAY!!!!! IM DESPERATE!!! WILL GIVE BRAINLIEST!!!!!! Use the values x=−0.5, 0, 1 to prove your solution to the equation 5+x−12=2x−7. In your final answer, include all of your calculations.
Answers
5+x-12=2x-7
x=0.5
5+0.5-12=2(0.5)
Find the missing term in the pattern. 2,8, 27, 85, 260, ___, 2365
Answers
Answer:
260 x 3 + 6 = 786Step-by-step explanation:
2 x 3 + 2 = 8
8 x 3 + 3 = 27
27 x 3 + 4 = 85
85 x 3 + 5 = 260
and so on..........