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?

Joyces Teacher Asks Her To Write The Sequence Formed By The Number Of Red Squares In Each Picture For

Answers

Answer 1

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

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]

Is this a function yes or no

Answers

i do not think so, but i’m not 100% sure

Answer:

yes

Step-by-step explanation:

I think so

A diver descends 90 feet in 5 minutes. What is the
diver's change in depth per minute?

Answers

90/5 would be 18 because you need to find the depth per minute. So you divide 5 by 5 and then 90 by 5. 18 feet per minute

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 answer

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

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)

Get math away! That app saved me for questions like that :/

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.

Two 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

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

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

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

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.

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

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 reciprocal

Formula 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) = 3/5

Since m₁ = - 1/m₂, we have:

(k + 3)/ (k - 5) = - 5/33(k + 3) = -5(k - 5)3k + 9 = - 5k + 253k + 5k = 25 - 98k = 16k = 2

So the answer is 2

Find the missing term in the pattern. 2,8, 27, 85, 260, ___, 2365

Answers

Answer:

260 x 3 + 6 = 786

Step-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..........

In which expression should the exponents be multiplied? (4 points)

Answers

I am pretty sure it is D

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

(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:

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.

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! :)

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

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;

https://brainly.com/question/18045519

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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

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 ;)

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

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:

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.

8. Why is it NOT useful to view science as a set of facts?

Answers

Answer:
(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.

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 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:

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

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