Mathematics College

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.

Joseph Is Playing With Blocks To Create A Design. With Each Step He Continues To Addblocks. How Many

Answers

Answer 1

Answer:

times by 2 because it keeps going up by times 2 the number of blocks

Answer 2

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

Write the recurring decimal 0.05 as a fraction in its simplest form

Answers

Answer:

1/20

Step-by-step explanation:

Step 1: Write the given number as the numerator and place 1 in the denominator right below the decimal point followed by the number of zeros required accordingly.

In this case, 0.05 has two numbers after the decimal, so, we place 100 in the denominator and remove the decimal point. This will make it 5/100

Step 2: Then, this fraction can be simplified. 5/100 = 1/20

Thus, 0.05 as a fraction is written as 1/20

Answer:

Step-by-step explanation:

let the fraction be a

a*100.....=0.05*100

100a......=05.00

99a....=0.05

100a= 5.00

99a=     0.05

   a=    4.95/99

Fill in the blanks below, pelase.

Answers

Question: Find the slope of the line passing through the points ( 4, 5 ) and ( 4, –7 ).Find the slope of the line passing through the points ( –5, 5 ) and ( 4, 5 ).

Answer:.•. The slope is undefined where the rise is -2 and has no run..•. The slope is 0 where it has no rise and the run is 9.

What is the value of k?

2k+9=7−3k


k=−2

k=−0.4

k = 2

k = 3.2

Answers

Answer:

the is k=-0.4

Step-by-step explanation:

sorry if I did it wrong

Answer:

[tex]k = -\frac{2}{5}[/tex]

I can't see the answer choices. Sorry, if I'm wrong.

10 ft
8 ft
I
Find the area of this figure. Round your
answer to the nearest hundredth. Use
3.14 to approximate .
A = [? ] ft?
=

Answers

10 x 8 = 80ft for the rectangle
To work out the area of the semi circle you do pi (3.14) x the radius squared, the radius is half the diameter.
3.14 x 4 squared
3.14 x16 = 50.24ftsqaured for the whole circle so you divide it by 2 which is 25.12ft squared.
And then finally you add 25.12 and 80 so your answer is 105.12 ft squared



Which graph represents the function f(x) = 1/3|x|?

Answers

Answer:

Whichever one looks like this

Step-by-step explanation:

A maintenance warranty for solar heaters cost $50 a month plus a one time $15 processing fee. Complete the table to determine the total cost for different number of months.

Answers

Answer:

50+15=65

Step-by-step explanation:

I know because it says total

1.(154)10=(?)2
how to solve it help me! ​

Answers

Answer:

I am sorry i dont know but can you help me plz

The ratio of the side length of square A to the length of Square B is 4:9 The side length of square A is 12 yards. What is the perimeter of Square B

Answers

Step-by-step explanation:

side A / side B = 4/9

side A = 12 yards

=>

12 / side B = 4/9

12 = side B × 4/9

9×12 = side B × 4

side B = 9×12/4 = 9×3 = 27 yards

perimeter of B is 4×side B = 4×27 = 108 yards

Mike is baking lemon cupcakes and banana cupcakes for his Math class. He conducted a survey to
find the number of students who prefer each type. A total of 10 students preferred lemon cupcakes
and that represents 30% of her class. How many students preferred banana cupcakes?

Answers

Answer:23

Step-by-step explanation:10 people make up 30 percent so we have 33 people . 33 - 10 = 23

Select the better deal in the pair. Then give the unit rate for the better deal.

$182/7g
or
$342/9g

Answers

Answer:182/7g

Step-by-step explanation:  182 divide by 7= 26

                                              342 divide by 9=38

and you want the lowest cost so a.

Write the place value of underlined digit in 8.745

Answers

Answer:

thousandths I'm pretty sure

This question in algebraic expression and number form : the difference between 20 and x

Answers

Answer: Let the numbers be x and y.

x+y = 20 …(1)

x-y = 10 …(2)

Add (1) and (2)

2x = 30, or x = 15, and so y = 5.

The product of the two numbers = xy = 15*5 = 75.

Step-by-step explanation:

hi po pahelp ito pls pls pls pls pls pls pls​

Answers

conversion of temperature

buying groceries

checking weight

measuring length


Simplify t^12/t^6
A. 2
B. 6
C. 6
D. 7-2

Answers

Answer:

t

12

/t

6

=t

12−6

=t

6

if this helps your welcome

Two angles in a triangle are have the same measurement. The third angle is 12 degrees less than
the first angle. What are the measurements of angle 1, 2 and 3? (hint: you will need to know
how many degrees are in an triangle)

Answers

There are 180 degrees in a triangle and if two of them are the same we can call them both a:

a + a + b = 180
2a + b = 180

Next, b is 12 degrees less than a so:
a - 12 = b

2a + a - 12 = 180
3a - 12 = 180

Add 12 to both sides
3a = 192

Find a:
a = 192 / 3
a = 64

This means angle 1 and angle 2 are equal to 64 degrees and angle 3 is 52 degrees

To check:
64 + 64 + 52 = 180 degrees

6. Three cards are drawn from an ordinary deck and not replaced. What is the
probability of getting 3 spades?

Answers

We want to find the probability of randomly drawing 3 spades from a standard deck.

The probability of getting 3 spades is 0.0129

Let's see how to get that probability.

A standard deck has 52 cards, 13 of them are spades.

The probability of randomly drawing a spade card is given by the quotient between the number of spades and the total number of cards.

So for the first spade card, the probability is:

p = 13/52

For the second card, take in mind that we already drew a spade card, so now there are 12 spade cards and 51 cards in total, so we have:

q = 12/51

For the final card, there will be 11 spade cards and 50 cards in total, but we will have:

k = 11/50

The joint probability (this is, the probability of getting the 3 spade cards one after the other) is equal to the product of the individual probabilities, so we will get:

P = p*k*q = (13/52)*(12/51)*(11/50) = 0.0129

The probability of getting 3 spades is 0.0129

If you want to learn more, you can read:

https://brainly.com/question/1349408

Henry draws triangle FGH. Then, he translates that triangle to create triangle F'G'H'. The distance from F to F' is 4 centimeters. What is the length of sides GG'? a. 2 cm b. 3 cm c. 4 cm d. 6 cm​

Answers

The length of sides GG' when the distance from FF' is 4 cm is also 4 cm.

A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.

When you perform translations, you slide a figure left or right, up or down. This means that, in the coordinate plane, the coordinates for the vertices of the figure will change.

It is given that Henry translates the ΔFGH to create ΔF'G'H'.

FF' = 4cm.

Translation is a rigid transformation. In translation, every point of the object must be moved by same distance and in the same direction.

In other words the distance between corresponding points are same.

GG' =?

Since G and G' are corresponding points, so

GG' = FF'

GG' = 4 cm

The length of GG' is 4 centimeters.

Hence, When the distance from FF' is 4 cm, the length of sides GG' is similarly 4 cm. so option C is the correct answer.

To learn more about Translation

https://brainly.com/question/12861087

#SPJ1

What is the answer??? I need help fast pls

Answers

Answer:

x = 9

Step-by-step explanation:

Vertical angles are congruent ( equal to each other )

So if ∠A and ∠B are vertical angles than they are congruent ( so ∠A = ∠B )

If ∠A = 2x + 1 and ∠B = x + 10

Then 2x + 1 must equal x + 10

( note that we've just created an equation that we can use to solve for x )

We now solve for x using the equation we just created

2x + 1 = x + 10

Subtract x from both sides

x + 1 = 10

subtract 1 from both sides

x = 9

Please help me on this thank you I’ll give brainliest

Answers

Answer:

Eh, you're not getting any help since you lied about "giving brainliest".

Step-by-step explanation:

For each team, find the unit rate games per loss.

Answers

Answer:

Ой ну не знаю очень сложный вопрос

1 1
11
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Part A
? Question
Create an equation from the model that describes the relationship between the weights on each side of the scale
Enter the correct answer in the box.
0 0 0
OP
α β
sin cos tan sin cos tan!
0
2 Δ Ο
Σ
0
X
A

Answers

9514 1404 393

Answer:

  2y +3 = 4y +2

Step-by-step explanation:

The left side shows 2y +3.

The right side shows 4y +2.

The scale is shown in balance, so we must have ...

  2y +3 = 4y +2 . . . . equation from the model

__

The solution can be found by subtracting 2y+2 from both sides to leave ...

  1 = 2y

Then we can divide both sides by 2 to find what y stands for:

  1/2 = y . . . . solution to the equation

When converted to a household measurement, 9 kilograms is approximately equal to a

Answers

What is 317.466 ounces or 19.8 pounds

1kg in household measurement is equal to 35.274 ounces.

So, 35.274*9= 317.466 ounces

317.466/16= 19.8 pounds

Please allow me to know this helped with brainly.

Thank you - Miss Hawaii

Answer:

D) 19.8 lbs

Explanation:

1kg in household measurement is equal to 35.274 ounces. 35.274*9=317.466 ounces.

1kg is also equal to 2.205 lbs. 9*2.205=19.8416

9 kg is also equal to 9000 grams, but grams are not a part of the household measurement system

a) 9000 grams. b) 9000 ounces. c) 19.8 ounces. d) 19.8 pounds.

This leaves us with 19.8 lbs

solve for completing the square x^2-12x+11=0

Answers

Answer:

x = 6 ± 5

Step-by-step explanation:

x² - 12x + 11 =0

x² - 12x = -11          Now add this number to both sides of the equal sign (1/2 of the coefficient of x-term squared)

x² - 12x +36 = -11 + 36                      1/2(-12)² = 36

(x - 6)(x - 6) = 25

(x - 6)² = 25

[tex]\sqrt{(x-6)}[/tex]² = [tex]\sqrt{25}[/tex]                             square root of both side of the equation

x - 6 =  ± 5                                          (5)² = 25 and (-5)² = 25

x = 6 ± 5

A scuba diver is descending at an average rate of 39.8 feet per minute.

What value represents the scuba diver's elevation relative to sea level after 2.9 minutes?

Enter your answer in the box.

ft

Plzzzz help I will give u brainly

Answers

Answer: 115.42 ft

Step-by-step explanation:

What percent of the hours were billed by Jon, Roy, or Dean?
Write your answer using a percent
sign (%).

Answers

Answer:

10%

Step-by-step explanation:

please tell me if im right or wrong

Need help pleaseee …

Answers

Answer:

2.5

Step-by-step explanation:

By Pythagoras theorem,

Hypotenuse = √( 4^2 + 3^2 )

                     = √( 16 + 9 )

                     = √25

Hypotenuse = 5

4 / 2 = 5 / x

2 = 5 / x

x = 5 / 2

x = 2.5

Dan received these tips in a given week. How much were his total tips.?

Answers

Answer:

we need the amount of tips to answer this ;-;

Step-by-step explanation:

Find the length of the shorter leg of a right triangle if the longer leg is 11 feet more than the shorter leg and the hypotenuse is 11 feet less than twice the shorter leg.

Answers

Step-by-step explanation:

of a right triangle if the longer leg is 11 feet more than the shorter leg and the hypotenuse is 11 feet less than twice the shorter leg.

Find the volume of the prism.
3 cm
37 cm
5 cm

Answers

The answer to your question is 45

HELP HURRY SUBTRACTION

Answers

Answer:

408, 250, and 4055 hope this helps

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