A baker is putting cupcakes on trays to cool. She put 2 cupcakes on the first tray, 4 cupcakes on the second tray, 8 cupcakes on the third tray, 16 cupcakes on the fourth tray, and 32 cupcakes on the fifth tray. If this pattern continues, how many cupcakes will the baker put on the sixth tray?

Answers

Answer 1

Answer:

64 cupcakes

Step-by-step explanation:

Tray 1 = 2 cupcakes

Tray 2 = 4 cupcakes

Tray 3 = 8 cupcakes

Tray 4 = 16 cupcakes

Tray 5 = 32 cupcakes

Tray 6 = ?

This is a geometric progression

First term, a = 2

Common ratio, r = 4/2

= 2

6th term = ar^n-1

= 2 × 2^6-1

= 2 × 2^5

= 2 × 32

= 64

The 6th tray will have 64 cupcakes


Related Questions

2 (x - 3) + x(x + 1)

Answers

Answer:

[tex]x^{2}[/tex] + 3 - 6

Step-by-step explanation:

Answer:

x2+3x-6

Step-by-step explanation:

Which expression is equivalent to 4(9k+3)? A) 4(-7k+16k+3) B) 3(9k+4) C) 4(3k+9) D) 9(3k+4)

Answers

Answer:

Option A "4(-7k+16k+3)" would be the appropriate choice.

Step-by-step explanation:

On solving the equation, we get

⇒ [tex]4(-7k+16k+3)[/tex]

On applying BODMAS rule, we get

⇒ [tex]4(9k+3)[/tex]

Therefore,

⇒ [tex]4(9k+3)=4(-7k+16k+3)[/tex]

All other given options are not seems to be the equivalent of the given expression "4(9k+3)". So the above is the right approach.

1. ADEA has vertices D(8,4), E(2, 6), and F(3, 1). What are the vertices of the image after a dilation with a scale factor of 5 using the origin as the center of dilation? TO​

Answers

Answer:

The vertices of the image are D' (40, 20), E' (10, 30), F' (15, 5)

Step-by-step explanation:

If the point (x, y) dilated by a scale factor k using the origin as a center of dilation, then its image is (kx, ky)

Let us use this rule to solve our question

∵ The vertices of ΔDEF are D (8, 4), E (2, 6), and F (3, 1)

∵ ΔDEF dilated by a scale factor 5

k = 5

∵ The origin as the center of dilation

→ That means, multiply the coordinates of every point by 5

∴ D' = (8 × 5, 4 × 5)

D' = (40, 20)

∴ E' = (2 × 5, 6 × 5)

E' = (10, 30)

∴ F' = (3 × 5, 1 × 5)

D' = (15, 5)

The vertices of the image are D' (40, 20), E' (10, 30), F' (15, 5)

All of the following effect the wind motion EXCEPT
A. Gravity
B. Rotation of the earth
C. Friction with the ground
D. Location of high and low pressure
(Science middle school)

Answers

Answer:

I think option D.

Step-by-step explanation:

lmk if it's wrong

help please!! Arithmetic Sequences
4,4.1,4.2,4.3,4.4
Common Difference: d=
what is the common difference?

Answers

Answer:

0.1 is the answer...............

The common difference [tex](d)[/tex] of  Arithmetic Sequences  [tex]4,4.1,4.2,4.3,4.4[/tex]  is [tex]0.1[/tex] .

What is Arithmetic Sequence ?

Arithmetic Sequence is also known as arithmetic progression and is a sequence of numbers in which the difference between the consecutive terms is constant.

What is common difference ?

Common difference is the difference between two consecutive terms of an arithmetic progression.

We have arithmetic progression,

[tex]4,4.1,4.2,4.3,4.4[/tex]  

Here,

[tex]a_{1} =4[/tex]

[tex]a_{2} =4.1[/tex]

[tex]a_{3} =4.2[/tex]

[tex]a_{4} =4.3[/tex]

[tex]a_{5} =4.4[/tex]

And,

Common Difference [tex](d)[/tex] [tex]=a_{2} -a_{1} =a_{3} -a_{2} =a_{4}-a_{3}[/tex]

So,

Common Difference [tex](d)[/tex] [tex]= 4.1-4[/tex]

                                       [tex]=0.1[/tex]

So, Common Difference [tex](d)[/tex] is    [tex]0.1[/tex] which is the difference of consecutive terms of Arithmetic Sequences.

Hence, we can say that the common difference [tex](d)[/tex] of  Arithmetic Sequences  [tex]4,4.1,4.2,4.3,4.4[/tex]  is [tex]0.1[/tex] .

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Maria takes 2 hours to plant 50 flower bulbs. Lois takes 3 hours to plant 45 flower bulbs. Working together, how long should it take them to plant 150 bulbs?

Answers

Answer:

Maria:  (50 bulbs)/(2 hours) = 25 bulbs/hour

Lois:  (45 bulbs)/(3 hours) = 15 bulbs/hour

Together:  25 + 15 = 40 bulbs/hour

(150 bulbs)/(40 bulbs per hour) = 3 3/4 hours

(3/4 hours)(60 minutes/hour) = 45 minutes

Total time:  3 hours 45 minutes

Duldupfircdesghjurdjoi

Whoever answers right first gets brainliest. :)
A file that is megabytes is being downloaded. If the download is complete, how many megabytes have been downloaded? Round your answer to the nearest tenth.

Answers

Hi there! There are no numbers listed, therefore I'm unable to do answer your question. Are there numbers included in the problem?


4x + 9 = 2x + 15 .. I need help

Answers

Answer:

x = 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

4x + 9 = 2x + 15

Step 2: Solve for x

Subtract 2x on both sides:                    2x + 9 = 15Subtract 9 on both sides:                      2x = 6Divide 2 on both sides:                          x = 3

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                    4(3) + 9 = 2(3) + 15Multiply:                               12 + 9 = 6 + 15Add:                                     21 = 21

Here we see that 21 does indeed equal 21.

∴ x = 3 is the solution to the equation.

Given y=2x+1 work out y x=4

Answers

Answer:

y = 2(4) + 1

y = 8 + 1

y = 9

Step-by-step explanation:

The Blue whale presently the largest mammal is about to 2.27 times more than the largest dinosaur. Blue whales weigh about 1.362 x 10 to the fifth power kilograms. Using scientific notation, about how much did the largest dinosaur weigh?

Answers

Answer: 60,004.41 kilograms

Step-by-step explanation:

Given: Weight of Blue whales = [tex]1.362 \times 10^5[/tex] kilograms

= [tex]1.3621\times 100000=136210[/tex]

Weight of blue whale = 2.27 x (weight of largest dinosaur )

[tex]136210=2.27\times \text{(weight of largest dinosaur)}\\\\\Rightarrow\ \text{(weight of largest dinosaur)} =\dfrac{136210}{2.27}\\\\\Rightarrow\ \text{(weight of largest dinosaur)}=60004.41[/tex]

Hence, The weight of largest dinosaur = 60,004.41 kilograms

Will give crown help

Answers

Answer:

-12,-2,8,48

Step-by-step explanation:

y=10x-2

If x is -1,

10(-1)-2

is -12

so y = -12.

The four boxes are -12,-2,8,48

Hope this helps plz hit the crown :D

Find the rate of change for the set of data provided in the image below.
Forearm: 14, 15
Foot: 14, 16
A. 2/3
B. 3/2
C. 3
D. 2

Answers

Answer:

D should be the answer!

SOMEONE PLEASE HELP ME CLICK ON THE PDF AND SCROLL DOWN AND ANSWER 7-12

Answers

Answer:

Is there a way u can show a picture instead of us having to download it?

60 pts!!! HELP Find the inverse of the function f(x)= 4/9 x-4
show work

Answers

Answer:

Inverse Function: f^-1(x) = 9/4x + 9

Step-by-step explanation:

To find  the inverse function we can interchange the position of the variables x and y, and then solve for y;

y = 4/9x - 4 => x = 4/9y - 4,

x = 4/9y - 4,

4/9y = x + 4,

y = 9/4x + 9/4(4),

y = 9/4x + 9/ f^-1(x) = 9/4x + 9

Help please:):):):):):)

Answers

do eat popcorn in a tub

:)

poopy face

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The shwabble-dabble-wabble-gabble flibba blabba blab
I'm full of shwibbly liber-kind
I am the yeast of thoughts and minds

[Chorus]
Shwabble dabble glibble glabble schribble shwap glab
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Simply delicious
Ohm, ha ha ha ha

[Verse 2]
I am the Glob-glo-gab-galab
The shwabble-dabble-wabble-gabble flibba blabba blab
I'm full of shwibbly liber-kind
I am the yeast of thoughts and minds

[Chorus]
Shwabble dabble glibble glabble schribble shwap glab
Dibble dabble shribble shrabble glibbi-glap shwap
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What is the solution to the linear equation 4b + 6 = 2 - b+ 4

Answers

Final Answer: [tex]b = 0[/tex]

Steps/Reasons/Explanation:

Question: What is the solution to the linear equation [tex]4b + 6 = 2 - b + 4[/tex]?

Step 1: Simplify [tex]2 - b + 4[/tex] to [tex]6 - b[/tex].

[tex]4b + 6 = 6 - b[/tex]

Step 2: Cancel [tex]6[/tex] on both sides.

[tex]4b = -b[/tex]

Step 3: Subtract [tex]-b[/tex] from both sides.

[tex]4b + b = 0[/tex]

Step 4: Simplify [tex]4b + b[/tex] to [tex]5b[/tex].

[tex]5b = 0[/tex]

Step 5: Divide both sides by [tex]5[/tex].

[tex]b = 0[/tex]

~I hope I helped you :)~

Answer:

b = 0

Step-by-step explanation:

(Combine like terms):              4b + 6 = 2 - b + 4  

                                                 4b + 6 = 6 - b    

(Use Addition property of

equality to add b):                    4b + b + 6 = 6

                                                  5b + 6 = 6

(Use Subtraction property of

equality to subtract 6):               5b + 6 - 6 = 6 - 6

                                                           5b = 0

(Divide both sides by 5):           5b = 0

                                                     5     5

b = 0

Express the null hypothesis and the alternative hypothesis in symbolic form that would be used for a hypothesis test. A psychologist claims that more than 5.8 percent of the population suffers from professional problems due to extreme shyness.

Answers

Answer:

Null Hypothesis

                 H₀ :  P = 3.8

Alternative Hypothesis

                 H₁: P > 3.8

Step-by-step explanation:

Explanation:-

Null Hypothesis :-

 The single statistic, H₀ will be that the sample statistic

H₀ : There is does not differ significantly from hypothetical parameter values

H₀ :  P = 3.8

Alternative Hypothesis:

The statistic , H₁ will be the sample statistic

H₁: There is  differ significantly from hypothetical parameter values

H₁: P > 3.8

Mr.davis works for $2,400 per month plus a 10 percent commission on his total sales.he wants to earn at least $3,000 next month. Which inequality can be used to determine the amount of sales,s,he needs to meet his goal?

Answers

Answer:

5th and 6th of August and will not me I will get

Step-by-step explanation:

ok is a theme for all of us who 6th assignment and we are going too far from changes to our schedule so we will not have a party

please help, i have 10 minutes left!! no joke please help :(

Answers

Answer:

105

Step-by-step explanation:

Angles in triangles are equal to 180. Substract the 2 known angles to get  your answer.

please help if you can

Answers

Answer:

5.66 units

Step-by-step explanation:

Which of the following is true about similar figures?

All similar figures are congruent.


If two figures are not similar, they can still be congruent.


All congruent figures are similar.


If two figures are not congruent, they can't be similar.

Answers

Answer:

All congruent figures are similar

Step-by-step explanation:

Congruent means "same" in mathematics and you have evidence to prove it. You can look at two puppies with the exact same fur color and be like "yeah they're the same". If they are the same size and shape they're congruent. This is why the AAA postulate can't work because triangles can have the same angles yet be different sizes. If figures are not congruent, they can't be similar and figures that aren't similar can't be congruent either.

All similar figures are congruent is true about similar figures

What is congruency?

We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.

In mathematics, congruent means identical, and you can cite examples to support your claim.

just by looking at them. They are congruent if their dimensions match. Triangles can have the same angles but differ in size, which makes the AAA postulate invalid.

If two figures are not similar, they cannot be congruent, therefore similarly unrelated figures cannot be congruent.

learn more about congruency here :

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what is the answer?​

Answers

Answer:

the answer is 2

Step-by-step explanation:

Answer:

what is the answer i don´t see a question??

Step-by-step explanation:

20 points!

24, and 25 has to be in simplest form.

JUST NEED HELP ON 24 AND 25!

Answers

Answer:

I think they would be 7 4/6 & 5 2/8

Step-by-step explanation:

srry if im late!

37+99+-x-is it scaling or isosceles or equilateral

Answers

Answer:

scalene triangle

What is the value of y in the equation 2(3y plus 6 plus 3) equals 196 minus 16

Answers

Answer:

I got this question too! I'm not sure

Step-by-step explanation:

$10,000 down payment for your house if you can invest 2% of your monthly income (yearly income: $67,705) into an account that earns 4% quarterly. Also what is the formula for this? Is it compounded quarterly?

Answers

Answer:

the future value of each deposit = ($67,705 x 1/12 x 0.02) x (1 + 1%)ⁿ = $112.84 x 1.01ⁿ

where n = number of quarters (interest is compounded quarterly)

the effective interest = 1.01⁴ - 1 = 4.06%

Assuming that you are going to make monthly payments, then you would need the number of quarters (n) in order to determine the future value. Since the interest is compounded quarterly, each contribution = $112.84 x 3 = $338.52

For example, if you are planning to save money for 5 years (n = 5 x 4 = 20), then the future value of the investment = $338.52 x 22.019 (FV annuity factor, 1%, 20 periods) = $7,453.87

if you want to calculate the total number of contributions (n):

FV annuity factor, 1%, n? = future value / contribution = $10,000 / $338.52 = 29.5404

since you know the interest rate (1%) you have to look at a future value annuity table and search the n for 29.54. This is approximately 26 periods (FV annuity factor = 29.53).

Question 1
8 pts
You are shopping at Math-Mart and your total purchase is $80. What is the total cost if the
tax rate is 8%?

Answers

Answer:

86.40

Step-by-step explanation:

First you do 80 x 0.08 to get 6.4, then you add that to 80 to get 86.40 dollars

the the slope and Y-intercept of -4x-2y=-8​

Answers

Answer:

slope -2

y int (0, 4)

Step-by-step explanation:

Anna mixes purple and pink dye to create lavander. For every 8 tsp of purple dye, Anna adds 3 tsp of pink dye. Which statement about the relationship between the purple dye and pink dye is true

Answers

Answer:

8 tsp purple : 3 tsp pink

Step-by-step explanation:

Part A: A graph passes through the points (0, 2), (2, 6), and (3, 12). Does this graph represent a linear function or a non-linear function? Explain your answer in words.

Part B: Write one example of a linear function and one example of a non-linear function. (Use x and y as the variables) (10 points)

Answers

Answer:

Im doing the same quesiton for flvs and dont know

Step-by-step explanation:

Answer:

what school do u do

Step-by-step explanation:

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A 2.0 kg bucket is attached to a horizontal ideal spring and rests on frictionless ice. You have a 1.0 kg massthat you must drop into the bucket. Where should the bucket be when you drop the mass (so it is movingpurely vertically when it lands in the bucket) if your goal is to:(a) Maximize the amplitude of the oscillation of the resulting 3.0 kg mass and spring system.(b) Minimize the amplitude of the oscillation of the resulting 3.0 kg mass and spring system. Will give crown to the most helping Stephanie thinks of a positive number.She squares the number and adds 7The result is 43What number did Stephanie think of? Explain how solving -7y > 161 is different from solving 7y > -161. Can someone plz help me with this 16 is what percent of 20? Rose plz. give me chance to explain plzzzzzzzzz help me will mark u brainest Please please help me with this one!!!!!! I am very easy to get into,but it is hard to get out of me. I really need to know this pls help me PLEASE HELPRead the following selection from Act II of Romeo and Juliet. What does the line in bold most likely mean? The Sentence in bold is as follows: but first let me tell ye, if ye should lead her intoa fool's paradise, as they say, it were a very grosskind of behavior, as they say:NURSEPray you, sir, a word:and as I told you, my young lady bade me inquire youout; what she bade me say, I will keep to myself:but first let me tell ye, if ye should lead her intoa fool's paradise, as they say, it were a very grosskind of behavior, as they say: for the gentlewomanis young; and, therefore, if you should deal doublewith her, truly it were an ill thing to be offeredto any gentlewoman, and very weak dealing.Question 4 options:1) If you are not true to Juliet, you are behaving very badly.2) If you are in love with a Capulet, this is incorrect behavior.3) If you are going to get married young, you are disgusting.4) If you are already in love with someone else, you are bad. the most stable measure of central tendency is____a) mean b)median. c) mode. d) deviation Is It possible for two parents with a round jaw to have a child with a square jaw? Why or Why not explain the early theories of the atomic structure A ball of mass 0.0887 kg is dropped from a height 1.76 m above the ground. The acceleration of gravity is 9.8 m/s 2 . Neglecting air resistance, determine the Compare and contrast the subject, or idea, of Angelous relationship with hermother in Learning to Love My Mother to the excerpt from Mom & Me &Mom. How is the written text different from the video? How is seeing MayaAngelou and hearing her words a different experience than reading about herchildhood? What is 160 rounded to the nearest hundred What is the slope of the lines! HELP PLEASE!!! 20points Which type of cell does the balloon best model?