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

On a Cartesian plane, the horizontal axis is called the _______ -axis and the vertical axis is called the _______-axis.

Answers

Answer:

Step-by-step explanation:

horizontal = x-axis

vertical = y-axis

Hope this helps!

Answer:

Horizontal: X-axis; Vertical: Y-axis

Step-by-step explanation:

A circle with area 64 cm2 has a
sector with a 45-degree
central angle.
The area of the sector is
cm2

Answers

9514 1404 393

Answer:

  8 cm²

Step-by-step explanation:

A 45° sector is (45°)/(360°) = 1/8 of the circle, so its area is ...

  (1/8)(64 cm²) = 8 cm² . . . . area of sector

identify the center

Answers

2nd center is the answer

I need help!! ASAP!!

Answers

Answer:your answer is c

Step-by-step explanation:if you want to be friends we can just friend me

is this set of ordered pairs of a function?
(1,1) (2,3) (3,4) (4,2) (5,1)

Answers

Yes it is a function

If f(x) = 1/2x^2 - (1/4x +3), what is the value of
f(8)?

Answers

Answer:

27

Step-by-step explanation:

If  [tex]f(x) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex],  then the value of  [tex]f(8)[/tex] is  [tex]f(8) = \frac{-93}{4480}[/tex].

What is Quadratic Equation?

A quadratic equation is an algebraic equation in the variable of the second degree. The quadratic equation is in the form of [tex]ax^{2} + bx + c = 0[/tex], where [tex]a,b,c[/tex]  are the real numbers.

We have

[tex]f(x) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex]

According to Quadratic Equation,

[tex]f(x)=ax^{2} +bx+c[/tex]

And we have,

[tex]f(x) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex]

So,

[tex]f(8) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex]

i.e. putting [tex]x=8[/tex],

[tex]f(8) = \frac{1}{2(8)^2} - \frac{1}{4*8 +3}[/tex]

[tex]f(8) = \frac{1}{128} - \frac{1}{35}[/tex]

Solving the above part,

[tex]f(8) = \frac{ 35-128 }{ 128*35 }[/tex]

[tex]f(8) = \frac{-93}{4480}[/tex]

Hence, we can say that value of  [tex]f(8) = \frac{-93}{4480}[/tex] .

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Help please due in an 1 hour!!

Answers

Answer:

275

Step-by-step explanation:

1375-550/5-2

Answer:

275 per minute

Step-by-step explanation:

550/2=275

1375/5=275

2200/8=275

3025/11=275

therefore it is 275 ft. per minute

Write a recursive formula for the
sequence
12,27,42,57.....

HELP ME PLEASE I DO ANYTHING I BEEN STUCK FOR 30mins now

Answers

Answer: Adding 15 each time

5) Phillip earns $11.25 per hour. During Week 1, he worked h hours. During Week 2, he worked 8
hours more than Week 1. If Phillip earned $540 for both weeks, how many hours did he work
during Week 2?

Answers

Answer:

2,160 Hours

Step-by-step explanation:

Ok so usual i would split $540 in half so a number multiplied by two would end up as 540, and i got 270. So since each week we know Phillip earned $270 and $11.25 a hour, we can divide 270 by 11.25, which gives us $24, so that means h = 24, but on week 2 it says Phillip worked 8 hours more on week 2, so that gives us a equation of 8 x 11.25, which comes out to 90, so now we can move on to our final equation, 90 x 24, which equals 2160. Im so sorry if this is wrong

Phillip worked for 20 hours and 28 hours in 1 and 2 weeks respectively.

What is unit rate?

A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.

Given that, Phillip earns $11.25 per hour. During Week 1, he worked h hours. During Week 2, he worked 8 hours more than Week 1. Phillip earned $540 for both weeks,

The unit rate for the work of Phillip is given, $11.25 per hour.

Therefore, his earning for h hours = $11.25h

For (8+h) hours = $11.25(h+8)

Since, he earned $540 for both weeks,

Therefore,

11.25(h+8) + 11.25h = 540

11.25h + 90 + 11.25h = 540

22.5h = 450

h = 20

h+8 = 28

Hence, Phillip worked for 20 hours and 28 hours in 1 and 2 weeks respectively.

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y+1= 6/11(x+4) convert to standard form please WILL GIVE BRAINLIEST

Answers

your answer is:

6x - 11y = -13

~☆

Which equations are correct?

Select each correct answer.




[tex]4c^4(3c^2)=12c^8[/tex]

[tex]3b^3(−2b^4)=−6b^12[/tex]

[tex]5y^4(2y^5)=10y^9[/tex]

[tex]5x^3(6x^4)=30x^7[/tex]

Answers

9514 1404 393

Answer:

  C, D

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

__

The correct equations are the last two.

For the first two, the appropriate products are ...

  [tex]4c^4(3c^2)=4\cdot3c^{4+2}=12c^6\\\\3b^3(a^2b^4)=3a^2b^{3+4}=3a^2b^7[/tex]

NEED HELP ASAP!!!!!!

Answers

Answer:

x=57

Step-by-step explanation:

63+60= 123

A triangle is 180 degrees

180-123= 57

x=57

Answer:

pretty sure x = 57

Step-by-step explanation:

60 + 63 = 123

180 - 123 = 57

please help!
the answer is in the picture because i can’t type it out :D

Answers

Answer:

x is 20 and y is 23

Step-by-step explanation:

Answer:

x = 15

y = 4

Step-by-step explanation:

In a triangle a line parallel to any of the sides of the triangle divides the remaining two sides in the proportion. Therefore,

[tex] \frac{12}{y} = \frac{x}{5} = \frac{18}{6} \\ \\ \frac{12}{y} = \frac{x}{5} = \frac{3}{1} \\ \\ \implies \:\frac{x}{5} = \frac{3}{1} \\ \\ x = 5 \times 3 \\ \\ x = 15 \\ \\ \\ \frac{12}{y} = \frac{3}{1} \\ \\ 3y = 12 \\ \\ y = \frac{12}{3} \\ \\ y = 4[/tex]

The coordinates of the turning point of the graph of
y = x
2 − 8x + 25 is (4,9).
Hence describe the single transformation which maps
the graph of y = x

2 onto the graph of

y = x
2 − 8x + 25.

Answers

Answer:

(x + 4), (y + 9)

Step-by-step explanation:

y= x^2 and y = x^2 - 8x + 25 are parabolas which open upwards.

The turning point of y = x^2 is at the origin (0, 0).

So the transformation is 4 units to the right and 9 units upwards:

(x + 4), y+ 9).

PLEASE HELP! BRAINLIEST IF CORRECT!
Which variable is most important to the following problem?
Dorothy played the first 17 minutes of the game. Evelyn then replaced her for the rest of the half. Evelyn started the second half and was replaced by Dorothy with 21 minutes left in the game. If each half is 45 minutes long, how many minutes did Evelyn play?

A. the length of a half
B. the amount of time Evelyn played
C. the number of players on a team

Answers

The answer is A. The length of a half

Step-by-step explanation:

B she played 52 minutes long

C 11 players

A length if a half 15

Circle D is shown. Line segment G D is a radius, D F is a radius, and D E is a radius. Angle G D F is 126 degrees, and angle F D E is 41 degrees. Point C is on the circle within angle G D F and point H is on the circle within angle G D E. Which statements are correct? Check all that apply.

Answers

Answer:

2,3,4 are correett

Step-by-step explanation:

1,5,6 are wroongg

Answer: 2 3 4 are your answers

Help pls

Which point on the number line represents the rational
number-2 3/5?
23 ?

A
B
C
D

Answers

Answer:

c

Step-by-step explanation:

C is 3/5 of the way down on section -2

Answer:

Its A

Step-by-step explanation:

I just answered on edge

what is the lowest term of 27/45

Answers

Answer:

3/5

Step-by-step explanation:

[tex] \frac{27}{45} = \frac{27 \div 9}{45 \div 9} = \frac{3}{5} \\ [/tex]

What is the value of x?
Enter your answer in the box

Answers

Answer:

The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.

Step-by-step explanation:

Charles charges 4 an our to baby sit he also adds an extra 10 dollars onto the total for families with more than 3 children. How much will charles charge to baby sit 4 children for 4 hourss

Answers

14? i’m wrong but what everyone

Answer:

i beleve 26 or 48

good luck

which expression is equal to -3(4x - 2) - 2x?

Answers

Answer:

-14x + 6

Step-by-step explanation:

-12x + 6 - 2x

-14x + 6

Solve the equation by completing the square.

2x^2+20x-63=3

Answers

The answer is that you can use your calculator in multiple things because it equals like four

At 8:00, the temperature was 15 degrees Celsius (°C). Three hours later, the temperature was -15°C. By how many degrees Celsius did the temperature change?​

Answers

Answer:

30 degrees

Step-by-step explanation:

If you were to draw a number line, 15 and -15 are both 15 units away from 0. So, 15 + 15 =30

Please brainlist!

find the slope of each line
5. y= -2x+5. 6. 3x+6y=12​

Answers

Answer:

5. Slope = -2x

(Full system: y = -2x + 5)

6. Slope = -1/2x

(Full system: y = -1/2 +6)

5. A train travels two different routes: the North Route and the South Route. • On Monday, the train traveled the North Route 8 times and the South Route 10 times, traveling a total of 410 miles. • On Tuesday, the train traveled the North Route 15 times and the South Route 11 times, traveling a total of 575 miles. How long is each route?

Answers

Answer:

North Route is 20 miles, and South Route is 25 miles.

Step-by-step explanation:

Let the length of the North route be represented by x and that of the South route be represented by y.

On Monday,

8x + 10y = 410

On Tuesday,

15x + 11y = 575

So that,

8x + 10y = 410 .............. 1

15x + 11y = 575 ......... 2

Using substitution method, from equation 1;

x = [tex]\frac{410 - 10y}{8}[/tex] ................. 3

Substitute the expression for x into equation 2,

15([tex]\frac{410 - 10y}{8}[/tex]) + 11y = 575

multiply through by 8,

6150 - 150y + 88y = 4600

6150 - 62y = 4600

6150 - 4600 = 62y

1550 = 62y

divide through by 62 to have,

y = 25

Substitute the value of y in equation 3

x = [tex]\frac{410 - 10y}{8}[/tex]

  = [tex]\frac{410 - 10(25)}{8}[/tex]

  = 20

x = 20

Thus, North Route is 20 miles, and South Route is 25 miles.

please help me :(



Angharad sleeps for 8 hours each night, correct to the nearest 10 minutes.
The total time she sleeps in the month of November (30 nights) is T hours.
Between what limits does T lie?

Answers

Answer:

The limits between which T lies is 273 hours 30 mins < T < 242 hours 30 minutes

Step-by-step explanation:

The number of hours Angharad sleeps each night = 8 hours ± 10 minutes

The actual time Angharad sleeps each night = 8 hours ± 5 minutes

Which gives the maximum time Angharad sleeps = 8 hours 5 minutes = 485 minutes per night

The minimum time Angharad sleeps = 7 hours 55 minutes = 475 minutes

The number of days in the month of November = 30 nights

The maximum time in minutes Angharad sleeps in November, [tex]T_{max}[/tex] = 30 nights × 485 minutes/night = 14,550 minutes = 242.5 hours = 242 hours 30 minutes

The minimum time in minutes Angharad sleeps in November, [tex]T_{min}[/tex] = 30 nights × 475 minutes/night = 14,250 minutes = 237.5 hours = 237 hours 30 minutes

Therefore, we have, the limits between which T lies given as follows;

273.5 hours < T < 242.5 hours.

Answer:

235 ≤ T ≤ 245

Step-by-step explanation:

(8 hours per night x 30 nights) = 240 hours

The deviation from 8 hours per night is as much as 10 minutes per night.  

Over 30 nights, the total deviation can be as much as (30 x 10 minutes) = 300 minutes = 5 hours.

So T can be as much as (240 + 5) = 245 hours, or as little as (240 - 5) = 235 hours.

In inequality form,

235 ≤ T ≤ 245

what is 25% more than 6 feet

Answers

Answer:

7.5 I guess?

Step-by-step explanation:

??

Step-by-step explanation:

l dont understand this can you explain

algebra/algebra 2
The metric unit of force is the Newton (N) , which is kg⋅m/s2 .

Convert 10 kg⋅cm/s2 to Newtons.


1×10−1 N

1×10−2 N

1×10−5 N

1×10−6 N

Answers

Answer:

B

Step-by-step explanation:

If it’s right can you mark me brainliest ty

The conversion of 10 kg⋅cm/s2 in Newton is 1×10−1 N so option (A) will be correct.

What is unit conversion?

To convert any unit into another is called a unit conversion.

In order to convert units, we need to care about their dimensions their dimension should not be changed.

For example conversion of a kilometer to a meter is to multiply by 1000 but meter and kilometer both unit is for distance only.

Another example could be kilo gram to gram.

Given the metric unit of force,

10 kg⋅cm/s²

Since,

1 meter = 100 cm ⇒ 1 centimeter  = 0.01meter

So,

10 kg⋅cm/s² = 10 kg (0.01)m/s²

10 kg⋅cm/s² = 10 × 0.01  kg m/s²

10 kg⋅cm/s² = 1×10−1  kg m/s²

Since,

kg m/s² = Newton (N)

So,

10 kg⋅cm/s² = 1×10−1 N

Hence "The conversion of 10 kg⋅cm/s2 in Newton is 1×10−1 N ".

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What is the least amount of additional money Sofia can spend to get the sushi they need?

Answers

Answer:

$

Step-by-step explanation:

ten subtracted from a number if the difference is 30 what was the orginal number​

Answers

X-10=30

X=30+10

X= 40

So the original number was 40 and you can prove it by subtracting 10 so 40-10= 30
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