Luis uses cubes to represent each term of a pattern based on a recursive function. The recursive function defined is f(n + 1) = f(n) + 4, where n is an integer and n ≥ 2. The number of cubes used in each of the first two figures is shown below. How many cubes does Luis use in the third, fourth, and fifth figures of the pattern? Fill in the blanks.

Answers

Answer 1

Answer:

It's 17, 21, and 25

Step-by-step explanation: hope it helps ^w^


Related Questions

The local amusement park was interested in the average wait time at their most popular roller coaster at the peak park time (2 p.m.). They selected 13 patrons and had them get in line between 2 and 3 p.m. Each was given a stopwatch to record the time they spent in line. The times recorded were as follows (in minutes).
118, 124, 108, 116, 99, 120, 148, 118, 119, 121, 45, 130, 118
What is the IQR?

Answers

The IQR is 2 because 120-118=2

a group of 43 children, with some adults, travelled by coach on a trip to a zoo
The total cost of the trip was £516
the entrance fee was £12.75 for each adult and£8.25 for each child
the cost of hiring the coach was £123

How many adults were in the group?
you must show your working

Answers

。☆✼★ ━━━━━━━━━━━━━━  ☾  

516 - 123 = 393

8.25 x 43 = 354.75

393 - 354.75 = 38.25

38.25 / 12.75 = 3

There were 3 adults

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Answer:

3 adults

Step-by-step explanation:

(each child)£8.25×(total children)43=£354.75(total amount paid for children)

£354.75+£123=£477.75

£516-£477.75=£38.25

£38.25÷£12.75=3

A pen cost $0.89 yesterday. It is on sale today for $0.65.
How much less does the pen cost today?

Answers

Answer:

The pen costs 24 cents less today than yesterday

Step-by-step explanation:

0.89-0.65=0.24

Answer:

It costs $0.24 less

Step-by-step explanation:

0.89 - 0.65=0.24

The GCF of 24 and 32 is

Answers

The greatest common factor of of 24 and 32 is 8

Answer:

8

Step-by-step explanation:

Which of the following options best represent the equation of a function?
Select all that apply.

Options:
x + y = 16
x2 + y2 = 16
y = 2
x = 2
y = x2 + 2
y = |x + 2|

Please explain how you get your answer, ty

Answers

Answer:

y=2

x=2

y=x2+2

y= lx+2l

Step-by-step explanation:

This is because these are the simplest forms of the equation. seeing as a function is f(x) (which is the same as y) when an equation is equal to a single variable, it is "solved" for hat variable and therefore best represents the equation of the function :)

PLS I NEED HELP...THE PICTURES ARE IN ORDER (13 POINTS ) Question 1 Solve the following equation. Explain or show your reasoning. ---------------------------------------------------------------------------------------- Question 2 Solve the following equation. Explain or show your reasoning. ------------------------------------------------------------------------------------------ Clare was solving an equation, but when she checked her answer she saw her solution was incorrect. She knows she made a mistake, but she can’t find it. Where is Clare's mistake and what is the solution to the equation?

Answers

Answer:

1 . x = 9,

2 . n = 4,

3 . Clare made an error in the 2nd step; Correct answer is y = - 65 / 11

Step-by-step explanation:

1 .

[tex]2 * ( x + 5 ) = 3x + 1 - Apply Distributive Property,\\\\2x + 10 = 3x + 1 - Subtract 2x from Either Side,\\10 = x + 1 - Subtract 1 from Either Side,\\\\x = 9,\\Conclusion; x = 9[/tex]

2 .

[tex]3 * ( n + 2 ) = 9 * ( 6 - n ) - Apply Distributive Property,\\\\3n + 6 = 54 - 9n - Add ( 9n ) on Either Side,\\12n + 6 = 54 - Subtract 6 from Either Side,\\\\12n = 48 - Divide Either Side by 12,\\n = 4,\\\\Conclusion; n = 4[/tex]

3 . Clare made an error in the second step ( 72 + 24y = 4y - 5 - 9y ) and to derive the correct solution, see the following steps below;

[tex]12 * ( 5 + 2y ) = 4y - ( 5 - 9y ),\\60 + 24y = 4y - 5 + 9y,\\65 + 24y = 4y + 9y,\\65 + 24y = 13y,\\\\65 = - 11y,\\y = - 65 / 11\\\\Conclusion; y = - 65 / 11[/tex]

examine the number patter below 1,2,3,5,8,13,21​

Answers

The sequence is the Fibonacci sequence!

It works like this.

1+2=3

2+3=5

3+5=8

5+8=13

8+13=21

and so on.

Answer:

Step-by-step explanation:

Ad the last two for the next

(1+2)= 3.  3+5=8.......

so 13+21= 34

21+34= 55

34+55= 89

not sure what you are looking for but I hope that helps.

When dividing complex numbers, why do
you need to multiply the numerator and
denominator by the complex conjugate of the
denominator?

Answers

Answer:

Hope this helps..

Step-by-step explanation:  

So when you need to divide one complex number by another, you multiply the numerator and denominator of the problem by the conjugate of the denominator. This step creates a real number in the denominator of the answer, which allows you to write the answer in the standard form of a complex number.

Answer:

You have to multiply by the complex conjugate because the denominator has to be a real number. By multiplying the complex conjugate you can transform the denominator in to a real number.

Step-by-step explanation:

What is the area in square units of the polygon shown here 2 units 1 unit 5 units and 7 units.

12 units^2
14units^2
17 units^2
19 units^2

Answers

The area units should be 19 units^2

can 20 degrees 60 degrees and 100 degrees be a triangle

Answers

Answer: Yes

Step-by-step explanation: The area of a triangle equals 180°

100+60+20=180

Answer: Yes

Explanation: The sum of the measures of the angles is always 180°

This idea is known as the (Triangle Sum Theorem).

Since 20 + 60 + 100 is equal to 180, we know

that these measures can form a triangle.

If a taxpayer has an adjusted gross income (AGI) of $75,000, donates
$20,000 to charity, and itemizes deductions on his federal income tax return,
how much of the charitable donation is deductible?
O A. None of the donation is deductible.
B. $20,000
O c. $10,000
O D. $5000

Answers

Answer:20000

Step-by-step explanations

Find the volume of the pyramid.

Answers

V=7 with the little 3

six copies of the sum of nine fifths and three.

Answers

Answer:

9/5+3/1

24/5 24/5 24/5 24/5 24/5 24/5

i think copies is a multiplication and sum is to add together so

6x(9/5+3)

9/5 is 1 whole and 4/5. 1 whole plus 3 wholes is 4 Wholes so it is 4 wholes and 4/5 which is 24/5.

6x24/5 is (6x24 is 144) so its 144/5 so its 28 wholes and 4/5.

I need help, please. ​

Answers

Answer:

a

Step-by-step explanation:

11-9=2 and 2 times 7 is 14, 14 plus 12 is 26 ,and 26=26 is a true statement

Please help!!! thank youu​

Answers

Answer:

38.2

Step-by-step explanation:

The total number of people who prefer burgers is

26+42 =68

The number who are female is  26

The fraction of women  that prefer burgers is

26/68 =.382352941

Changing to a percent

38.2%

Determine whether the forces in the pair are pulling at right angles to each other. For the values a = 1.6 and b = 5.8, which are legs of a right triangle, find c, the hypotenuse, to the nearest tenth

Answers

Answer:

Approximetly 6

Step-by-step explanation:

a^2 + b^2 = c^2

1.6^2 + 5.8^2 = c^2

2.56 + 33.64 = c^2

36.2 = c^2

c=6 (approximetly)

if an atom has 12 positively charged protons and 12 negatively charged electrons, what is it's total charge?

Answers

[tex]+12+(-12)\\=0[/tex]

Which figure shows an example of symmetry?
OA
O B
o
O D​

Answers

Answer:

C.

Step-by-step explanation:

symmetry means that when you fold the paper along the line of symmetry shape is overlapping

Points , , and are collinear. Point is between and . Solve for given the following. =3+3 =−1+2 =11 =

Answers

The answer is going to be 10.4

Calculate the surface area of the 3-D composite figure please!! show how you got the surface area

Answers

Answer:

1222 ft²

Step-by-step explanation:

11*19*2=41811*9*2=19819*9*2 - 10*9=25213*9*2=2341/2*10*12*2=120

418+198+252+234+120=1222 ft²

The annual rainfall for two cities, Albany and Zachary, in each of the years from 2002 to 2011 are shown in the tables. Annual Rainfall for Albany (in.) 23.36 18.51 28.54 22.36 30.50 24.74 11.93 15.34 18.07 15.98 Annual Rainfall for Zachary (in.) 27.27 20.11 31.14 25.88 32.97 25.03 18.55 23.91 22.75 19.73 Find the mean for the two cities' annual rainfalls. In which city does it rain more in a year, on average? Drag and drop the correct choices into the boxes to complete the statement. On average, Albany gets _ inches of rain per year and Zachary gets _ inches of rain per year. on average, which city rains more zachary or albany?

Answers

Answer:

On average, Albani gets 20.933 inches of rain per year.

On average, Zachary gets 24.734 inches of rain per year.

On average, Zachary gets more rain than Albani.

Step-by-step explanation:

Mean is given by:

[tex]Mean = \frac{Sum}{Total}[/tex]

For Albani :

Sum of total number of terms = 23.36+18.51+28.54+22.36+30.50+24.74+11.93+15.34+18.07+15.98

Sum of total number of terms = 209.33

Number of terms = 10

[tex]Mean=\frac{209.33}{10}\\\\Mean=20.933\\[/tex]

For Zachary :

Sum of total number of terms = 27.27+20.11+31.14+25.88+32.97+25.03+18.55+23.91+22.75+19.73

Sum of total number of terms = 247.34

Number of terms = 10

[tex]Mean=\frac{247.34}{10}\\Mean=24.734[/tex]

Choose the product. -6p 3(3p 2 + 5p - 1)

Answers

Answer:

-18 p^5 - 30 p^4 - 6p^3

Step-by-step explanation:

-6p^3(3p^2 + 5p - 1)

Distribute

-6p^3(3p^2) + -6 p^3*5p - 6p^3

Combine like terms

-18 p^5 - 30 p^4 - 6p^3

Quadrilateral RSTU is a parallelogram. Which is the LEAST additional information needed to prove that RSTU is a rectangle?

a
The diagonals are congruent, and one angle is a right angle.
b
c
All four angles are right angles.
d
Both pairs of opposite sides are congruent, and all angles are right angles.

Answers

Answer:

B

Step-by-step explanation:

work out (8x10^-3) x (2x10^-4)​

Answers

Answer:

[tex]1.6 \times 10^{-6}[/tex]

Step-by-step explanation:

[tex](8 \times 10^{-3}) \times (2 \times 10^{-4})[/tex]

[tex]8 \times 2 \times 10^{-3} \times 10^{-4}[/tex]

[tex]16 \times 10^{-3+(-4)}[/tex]

[tex]16 \times 10^{-3-4}[/tex]

[tex]16 \times 10^{-7}[/tex]

[tex]1.6 \times 10^{-6}[/tex]

Answer:

(8 × 10^-3)× ( 2× 10 ^-4)

reorder the terms

You will get

(8 × 2) ( 10^ -3 × 10^-4)

Multiply

16 ( 10^ -3 × 10^-4)

Use the rules of indices

a^ b × a^ c = a^b+c

16(10^-3-4)

16(10^-7)

= 16 × 10^-7 or 1.6 × 10^-6 or 0.0000016

Hope this helps.


please help!!
it’s due today

Answers

Answer:

this is a little late haha but the last one

Step-by-step explanation:

cus the slope is 2 and the y intercept is -1

In right triangle ABC, ∠C is a right angle, m∠A=52∘, AC=10.01, and AB=c.
sin52∘≈0.788
cos52∘≈0.616
tan52∘≈1.280
What is the measurement of AB?


In right triangle GHI, ∠H is a right angle, m∠I=42∘, and GH=11.
sin42∘≈0.67
cos42∘≈0.74
tan42∘≈0.90
What is the measurement of HI?

Answers

9514 1404 393

Answer:

AB = 16.25HI = 12.22

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relevant relationships.

__

1. Cos = Adjacent/Hypotenuse

  cos(52°) = AC/AB

  AB = AC/cos(52°) = 10.01/0.616

  AB = 16.25

__

2. Tan = Opposite/Adjacent

  tan(42°) = GH/HI = 11/HI

  HI = 11/tan(42°) = 11/0.90

  HI ≈ 12.22

The graph below shows the number of pages Matthew read in x hours. Find the slope of the line. Explain what the slope represents.

Answers

Answer: The slope represents the RATE at which Matthew read pages in x hours.

Step-by-step explanation:

While I can not see the graph, I can conclude the representation from your sentence. Slope usually describes cases where an action increases or decreases over time if that makes sense. I can help you with the calculation if you add the graph! I hope this helped a bit!

With explanations please
1.) A ship leaves port and travels 21km on a bearing of 032° and then 45km on a bearing of 287°
a) Calculate it's distance from the port
b) Calculate the bearing of the port from the ship

2.) A surveyor leaves her base camp and drives 42 km on a bearing of 032°,she then drives 28km on a bearing of 154°. How far is she then from her base camp and what is her bearing from it?​

Answers

Answer:idk

Step-by-step explanatio

please help ill mark you as brainlesit if correct!​

Answers

Answer: [tex]\dfrac{1}{8}[/tex]

Step-by-step explanation:

Formula : Probability = [tex]\dfrac{\text{favorable outcomes}}{\text{total outcomes}}[/tex]

Given , Sam has 4 cards numbered 2,3,5, and 7.

His friend has 4 cards numbered 1,2,6 and 7.

If they both draw one card and put that on table , then the possible combinations of cards would be (2,1) , (2,2), .... (7,6), (7,7).

i.e. Number of possible outcomes would be (S) 4 x 4 = 16

Favorable outcomes that they will choose same number (F) = (2,2) , (7,7)

Now , the probability that they will both choose the same number would be :

[tex]\dfrac{F}{S}=\dfrac{2}{16}=\dfrac{1}{8}[/tex]

Hence, the required probability = [tex]\dfrac{1}{8}[/tex]

Write the first six terms of the sequence.
a1 = 4, an = An-1 +5

Answers

Answer:

{4, 9, 14, 19, 24}

Step-by-step explanation:

Best to use the notation a(1) = 4, a(n) = a(n-1) + 5.

a(1) = 4  (given)

a(2) = 9  (here we found a(2) by adding the common difference, 5, to a(1)

a(3) = 14

a(4) =  19

a(5) = 24

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