Two students each write a function, S(n), that they think can be used to find the number of squares needed to make the nth figure in the pattern shown.
Use the drop-down menus to explain why each function does or does not represent the number of squares needed to make the nth figure in the pattern.
Answers
The number of squares needed to make nth figure in the pattern is
S(n) = 2ⁿ.
What is square?A square is "a shape that has four sides of the same length and the four angles of right angles".
According to the question,
S(1)=2; S(2) =4; S(3) = 8: S(4)=16 .........
S(1) = 2; S(2) = 2² = 4; S(3) = 2³ = 8; S(4) = 2⁴ = 16....... S(n) = 2ⁿ
In to find the number of squares needed to make the nth figure in the given pattern is S ( n ) = 2ⁿ.
Hence, the number of squares needed to make nth figure in the pattern is S(n) = 2ⁿ.
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The number of squares needed to make nth figure in the pattern is
S(n) = 2ⁿ.
According to the question,
S(1)=2; S(2) =4; S(3) = 8: S(4)=16 .........
S(1) = 2; S(2) = 2² = 4; S(3) = 2³ = 8; S(4) = 2⁴ = 16....... S(n) = 2ⁿ
In to find the number of squares needed to make the nth figure in the given pattern is S ( n ) = 2ⁿ.
Hence, the number of squares needed to make nth figure in the pattern is S(n) = 2ⁿ.
Related Questions
Subtract.
13 5/8- 3 2/3
HELPPPP IM LITERALLY GONNA FAIL
Answers
next let’s find the LCM, or least common multiple of the denominators for the fractions. 10 5/8 = 10 15/24
2/3= 16/24
now last, subtract these new fractions.
10 15/24 - 16/24 = 9 23/24
13/1 × 5/8 - 3/1 × 2/3
= 13×5 / 1×8 - 3×2 / 1×3
= 65/8 - 6/3
= 195/24 - 48/24
=147/24
=49/8
Helppppppp pls :))))))))
Answers
Answer:
g(x) = x^2 - 7
Step-by-step explanation:
2. Find the surface area of the regular pyramid shown to the nearest whole
number.
Answers
Answer:
208m^2
Step-by-step explanation:
area of hexagon = 93.53 using its equation
area of single triangle = 0.5(6*6)
area of all triangles = 6(0.5(6*6))
total area = 207.53
NWN = 208
the question is the screenshot
Answers
Answer:
Account [B] is worth the most after 10years. It will have a value of $[21589.656]
A cube is also a right rectangular prism. What is the surface area of this cube?
6 units
6 units
6 units
Answers
Answer:
I think it is 216 sorry if it is wrong
Step-by-step explanation:
What do we do to both sides of this equation to solve?
5x=20
Question 3 options:
Add 5 to both sides
Subtract 5 from both sides
Multiply both sides by 5
Divide both sides by 5
Answers
Hello there! :)
Answer:
Divide both sides by 5
Step-by-step explanation:
we are given an equation 5x=20.
First, Add 20 to both sides
[tex]\boxed{x=\frac{20}{5} }[/tex]
Then, Divide both sides by 5.
[tex]\boxed{x=4}[/tex]
Divide 20 by 5 to get 4.
And there you go Our answer is Divide by sides by 5.
-Hope this helps
-Have an awesome weekend :)
[tex]-Yuri-[/tex]
A card is selected from an ordinary deck. What is the probability of getting king or a queen?
Answers
Answer:
I did jack and ace to
Step-by-step explanation:
Explanation:
A standard deck has 13 ordinal cards (Ace, 2-10, Jack, Queen, King) with one of each in each of four suits (Hearts, Diamonds, Spades, Clubs), for a total of
13
×
4
=
52
cards.
If we draw a card from a standard deck, there are 52 cards we might get.
There are 16 cards that will satisfy the condition of picking a Jack, Queen, King, or Ace.
This gives us:
P
(
randomly draw a Jack, Queen, King, or Ace
)
=
16
52
=
4
13
18
p.7 Central Angles and Inscribed Angles
#4 What is the measure, in degrees, of arc JKI ?
4) MJKI
80°
K
mJKI =
degrees
Answers
Answer:
280°
Step-by-step explanation:
There are 360° in a circle. you are given an arc that is 80°.
To find the arc JKI, subtract 80 from 360.
360 - 80 = 280°
Which number is equivalent to 5×10+4×1+8×110+6×1100+1×11,000?
Answers
Answer:
54861/1000 convert to a decimal = 54.861
determine the oreadred pair for (-10,3) whenitn it has been reflected over the y-axis
Answers
Answer:
I determined it's cherry pie because the typical slice size allows 10 slices and that is enough for 10 people to enjoy it's goodness quite amazing
Select the correct answer.
A rubber gasket has a circumference of 3.2 cm. When placed in service, it expands by a scale factor of 2. What is the circumference of the gasket when in service?
A.
1.6 cm
B.
3.2 cm
C.
6.4 cm
D.
13.2 cm
Answers
3.2x2=6.4 cm
The required circumference of the gasket after dilation with scale factor 2 is 6.4 cm. Option C is correct.
A rubber gasket with a circumference of 3.2 cm is given. After expansion by scale factor 2 the circumference of the gasket is to be determined.
The circumference is defined as the boundary length of any circular shape.
Here,
Circumference of gasket = 3.2 cm
After dilation with scale factor 2, the circumference became.
Dilated circumference of gasket = 2*3.2 = 6.4 cm
Thus, the required circumference of the gasket after dilation with a scale factor of 2 is 6.4 cm.
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Evaluate −30 ÷ −6. ghvfhv
Answers
Answer:
5
Step-by-step explanation:
used a cal
Answer:
5
Step-by-step explanation:
-30 / -6 = 5
-6 * x = -30
(drop the negatives)
30 / 6 = 5
-6 * 5 = -30
which equation shows how to find P the total amount of Alex's paycheck
Answers
Answer:
it's the last one, and the missing number is 70 (the P)
The expression that represents this scenario is 35/p = 70/100.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, Alex has 70% of her weekly paycheck automatically deposited into a savings account.
This week $35 is deposited,
∴ The expression that represents this situation is 35/p = 70/100.
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Two similar geometric solids have a scale factor of 3:4. If the volume of the smaller solid is 54 cubic feet, what is the volume of the larger solid? Round to the nearest tenth as needed.
Thank you for your help!
Answers
Answer:
128 ft³
Step-by-step explanation:
given the scale factor of 2 similar solids is a : b , then
ratio of volumes = a³ : b³
here a : b = 3 : 4
then 3³ : b³ = 3³ : 4³ = 27 : 64
let x be volume of larger solid then by proportion
[tex]\frac{27}{54}[/tex] = [tex]\frac{64}{x}[/tex] ( cross- multiply )
27x = 3456 ( divide both sides by 27 )
x = 128
the volume of the larger solid is 128 ft³
4 1/2 - 1 8/10 please
Answers
Answer:
Down below!!
Step-by-step explanation:
Exact Form:
27/10
Decimal Form:
2.7
Mixed Number Form:
2 7/10
Answer:
4 1/2 - 1 8/10 = 2 7/10
Step-by-step explanation:
Step 1 : Start by making the mixed fraction into improper fractions
4 1/2 = 9/2
(For the fraction 1 8/10, make sure to simplify 8/10!)
9/2 - 1 4/5 = 9/2 - 9/5
Step 2: Next find a common denominator for both the improper fractions.
9/2 x 5/5 = 45/10
9/5 x 2/2 = 18/10
45/10 - 18/10 = 27/10
Step 3: Now, make the improper fraction into a mixed number
27/10 = 2 7/10
So this shows us that 4 1/2 - 1 8/10 = 2 7/10! Hope this helps! :D
Circle e has a radius of 40 inches with m arc ABC=324 degrees. Find the exact length of arc ABC.
Answers
Substituting the values
Length of the arc = (2) (40) (324° / 360°)
By further calculation
= (80) (0.9)
So we get
= (80) (3.14) (0.9)
= 226.08 cm.
Therefore, the length of the arc is 226.08 cm.
Hope this helps
Carlo puts tins into small boxes and into large boxes. He puts 6 tins into each small box. He puts 20 tins into each large box. Carlo puts a total of 3000 tins into the boxes so that number of tins in small boxes : number of tins in large boxes = 2:3 Carlo says that less than 30% of the boxes filled with tins are large boxes. Is Carlo correct? You must show all your working.
Answers
Answer:
No, he is not correct.
Step-by-step explanation:
Check the attachment.
Cindy invested $2,800. The function V(t) = 2,800(1.025)t models the value of Cindy’s investment after y months. The function S(t) = 10t models the amount of money that Cindy has saved in a safe at her house after t months. Which function C(t) models the combined value of the investment and money in the safe?
A. C(t) =2,800(1.025)t + 10t
B. C(t) = 2,800(1.025)11t
C. C(t) =(2,800 + 10t)(1.025)t
D. C(t) =2,810(1.025)t
Answers
Answer:
Option AStep-by-step explanation:
The amounts invested and saved are independent and their total is the combined amount.
[tex]C(t) = V(t) + S(t)[/tex][tex]C(t) = 2,800(1.025)^t + 10t[/tex]Correct choice is A
Lets see
V(t)=2800(1.025)^tS(t)=10tAdd both
C(t)=S(t)+V(t)C(t)=2800(1.025)^t+10tUnder his cell phone plan, Oliver pays a flat cost of $45 per month and $3 per gigabyte. He wants to keep his bill under $60 per month. Use the drop-down menu below to write an inequality representing g, the number of gigabytes he can use while staying within his budget
Answers
Answer: g < 5
5 is the amount of gigabytes
Oliver can use up to 5 gigabytes while staying within his budget of $60 per month.
The inequality representing the number of gigabytes Oliver can use while staying within his budget of $60 per month is:
3g + 45 ≤ 60.
where,
"g" represents the number of gigabytes used.
$3 is the cost per gigabyte.
$45 is the flat monthly cost.
$60 is the maximum budget.
Oliver pays a flat cost of $45 per month, which is represented by the constant term 45 in the inequality.
He also pays $3 per gigabyte, so the cost for the gigabytes used is 3g, where "g" represents the number of gigabytes.
The total cost (3g + 45) must be less than or equal to $60, as he wants to keep his bill under $60 per month.
Hence, the inequality is 3g + 45 ≤ 60.
Now, solve for g:
45 + 3g ≤ 60
Subtract 45 from both sides:
3g ≤ 15
Divide both sides by 3:
g ≤ 5
So, Oliver can use up to 5 gigabytes while staying within his budget of $60 per month.
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What is the arc measure of major arc CAD in degrees
Answers
Answer:
296°
Step-by-step explanation:
what is this
please help
Answers
Answer:
The answers are the 2nd box, 4th box, and 5th box.
Find the approximate length of C
Answers
Answer:
c = 2√3 ≈ 3.464
Step-by-step explanation:
A 30°-60°-90° triangle is a "special" triangle that has sides in the ratios ...
1 : √3 : 2 . . . . . shortest to longest.
Comparing those to the side measures you have, we see ...
1 : √3 : 2 = b : 3 : c
Multiplying the basic ratios by √3 gives a value that matches the long side:
√3 : 3 : 2√3 = b : 3 : c
Then the value of c is 2√3 ≈ 3.464.
_____
Additional comment
Side length b is √3 ≈ 1.732.
Which of the following would be the most appropriate unit to weigh a single medical pill
A: ton
B: kilogram
C: ounce
D: cup
Answers
This is because
Tons are massive and used to weigh very heavy objects, often in manufacturing and vehicular measurements
Ounces are a member of the imperial system of measurement, which is the least popular used in medicine worldwide
Cups are a measurement of volume, not mass.
The most appropriate unit to weigh a single medical pill is the kilogram.
What is the definition of the unit?In Physics, the term unit directs to the quantity of a constant magnitude, utilized to estimate the magnitudes of other quantities of an identical class.
Tons stand massive and are utilized to weigh very heavy objects, usually in manufacturing and vehicular measures.
Ounces exist as a member of the imperial system of measurement, which stands as the least popular utilized in medicine worldwide.
Cups exist as a measurement of volume, not mass.
Therefore, the correct answer is option B: kilogram.
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Please Help! I'll give a brainliest!
Tania is a car salesperson at Yorkshire Motors and earns straight commission on sales. She earns 15%commission on sales of vehicles, service contracts, and accessories. During her first year, Tania's sales totaled $454,000.00. How much money did Tania earn in her first year at the dealership?
Tania earned $_____ in commission the first year.
Answers
Answer:
$68100Step-by-step explanation:
Commission = 15% of sales amount
The amount Tania earned is:
$454000*15/100 = $68100Commission is 15% of earnings
Commission:-.
15% of 4540000.15(454000)68100$8.2.AP-5
Question Help
What geometric shape may describe a quadrilateral that has exactly two pairs of parallel sides and
no right angles?
Answers
Answer:
parallelogram
Step-by-step explanation:
Parallelograms have two pairs of parallel sides and no right angles.
A weather researcher compared average monthly temperature data for
Athens, Greece, and Madrid,Spain answer quickly please I need this answer now
Answers
Considering the mean and range concepts, it is found that the correct option is:
C. On average, Athens have a higher temperature. However, temperatures in Madrid vary more.
What are the mean and the range of a data-set?The mean of a data-set is given by the sum of all observations divided by the number of observations.The range is given by the subtraction of the highest value by the lowest.In this problem, Athens has a higher mean, while Madrid has a higher range, hence the correct option is:
C. On average, Athens have a higher temperature. However, temperatures in Madrid vary more.
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Simplify: [(13 + 8) ÷ 3] − 4 =
Answers
Answer:
3
Step-by-step explanation:
First you do 13 + 8
13 + 8 = 21
Then you divide by 3
21 divided by 3 is 7
Finally you subtract 4
7 - 4 = 3
Hope this helps!!
Answer:
3
________________________________________________________
SolveWhen doing problems, remember PEMDAS, the order of operations:
parenthesesexponentsmultiplicationdivisionadditionsubtractionGo by the list from top to bottom, and prioritize the higher-up orders first.
Start with 13 + 8
[tex]13 + 8 = 21[/tex]
Next, divide by 3
[tex]21 / 3 = 7[/tex]
Lastly, subtract by 4
[tex]7 - 4 = 3[/tex]
________________________________________________________
Questions?Ask me in the comments box, please.
A group of 30 people are going to run a race. The top three runners earn gold silver, and bronze medals .
Answers
On Saturday, Mark sold 2 7/8 gallons of lemonade.On the same day, Regan sold 2/3 as much lemonade as Mark. How much lemonade, in gallons, did Regan sell?
Answers
The quantity of lemonade that Regan sold on saturday given the amount sold by Mark is 1 11/12 gallons.
What are fractions?Fractions are non-integers that consist of a numerator and a denominator. A proper fraction is a fraction in which the numerator is less than the denominator. e.g. 2/3. A mixed fraction is made up of a whole number and a proper fraction. An example is 2 7/8.
How much lemonade did Regan sell?2 7/8 x 2/3
23/8 x 2/3 = 23/12 = 1 11/12 gallons
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If the price of 4 dozens pencils is Rs. 264, what will be the price of 50 pencils?
Answers
Answer:
Rs. 275
Step-by-step explanation:
4 dozens = 4 × 12 = 48
4 dozens pencils = 48 pencils
48 pencils = Rs. 264
1 pencil = Rs. 264÷48
1 pencil = Rs. 5.50
50 pencils = 5.50×50
50 pencils = Rs. 275
Answer:
Rs. 275
Step-by-step explanation:
4 dozens = 48 pencils
48 pencils = Rs. 264
Find the price of 1 pencil to calculate the price of 50 pencils.
264 ÷ 48 = 5.5
1 pencil = Rs. 5.5
50 x 5.5 = 275
50 pencils = Rs. 275
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