a game consists of placing seeds in 24 cups. a player puts two seeds in the first cup, four in the second, six in the third and so on. how many seeds will be required altogether if the player continues to the 24th cup in this way?​

Answers

Answer 1

Step-by-step explanation:

The next cup will always have 2 more than the previous one. Continue the pattern of adding two seeds to each cup until you reach the 24th cup like so:

#s on left side = # of seed , #s on right side = # cup

6 | 3    8 | 4      10 | 5      12 | 6     14 | 7    16 | 8     18 | 9          20 | 10        22 | 11

24 | 12     26 | 13       28 | 14      30 | 15     32 | 16    34 | 17    36 | 18     38 | 19

40 | 20      42 | 21         44 | 22     46 | 23    48 | 24

What you want to know is the number of TOTAL SEEDS NEEDED TO PLAY THIS GAME. NOT how many seeds will be in the 24th cup. To find the TOTAL you need to add 2 + 4 + 6 and so on like so:

2 + 4 + 6 + 8 + 10 + 12 + 14 + 16 + 18 + 20 + 22 + 24 + 26 + 28 + 30 + 32 + 34 + 36 + 38 + 40 + 42 + 44 + 46 + 48 = 600 TOTAL SEEDS TO PLAY THIS GAME. (this is your answer)


Related Questions

PLEASE HELP

4. What are the parallel, perpendicular and diagonal cross sections for a cylinder, rectangular prism and rectangular pyramid?

Answers

Answer:

For a Cylinder It is a circle, For a  rectangular prism it is a square  rectangular pyramid  a cross section is a rectangle

Step-by-step explanation:

I basically told you the answer so

Hope this helps :)

The lengths of salamanders have a normal distribution with mean 15cm, and standard deviation 2cm. What is the probability a salamander has length between 12.2cm and 16.5cm

Answers

Answer:

The probability a salamander has a length between 12.2cm and 16.5cm is 0.6930

Step-by-step explanation:

We start by finding the z-score of each

Mathematically;

z-score = (x - mean)/SD

for 12.2 cm

z-score = (12.2 - 15)/2 = -2.8/2 = -1.4

For 16.5 cm

z-score = (16.5 -15)/2 = 1.5/2 = 0.75

So the probability we want to calculate is;

P( -1.4 < z < 0.75)

we can calculate this using the normal distribution table

Mathematically;

P( -1.4 < z < 0.75) = P( z < 0.75) - P( z < -1.4)

= 0.2263 + 0.30738

= 0.69262

An athlete us jumping. However, everytime she jumps she gets a bit more tired, and every jump goes 1/2 as far as her prior jump. Now, for her very first jump, she goes 1/2 of a foot. On her second jump, she goes 1/4 of a foot, and so on and so forth. How many jumps does it take to get to travel 1 foot

Answers

Answer:

She can never travel a distance of 1 foot for the given condition.

Step-by-step explanation:

In every jump, she goes 1/2 as far as her prior jump.

In the 1st jump, she covered a distance, d_1= \frac 1 2 foot.

The distance covered in the 2nd jump

[tex]d_2= \frac 12 \times d_1 = = \frac 12 \times \frac 12= \frac 1 4[/tex] (given)

So, the distanve covered in the 3rd jump

[tex]=\frac 12 \times d_2= \left(\frac 1 2\right )^2\times \frac 1 2= \left(\frac 1 2\right)^{3-1}\times \frac 1 2.[/tex]

Similarly, the distance covered in the [tex]r^{th}[/tex] jump

[tex]=\left(\frac 12 \right)^{r-1}\times \frac 1 2.[/tex]

Assuming she requires [tex]n[/tex] jumps to travel 1 foot of distance.

So, the sum of all the distances covered in n jumps = 1 foot

[tex]\Rightarrow \frac 1 2 + \frac 1 4 + \cdots + \left(\frac 12 \right)^{r-1}\times \frac 1 2+\cdots+ \left(\frac 12 \right)^{n-1}\times \frac 1 2=1[/tex]

[tex]\Rightarrow \frac 1 2 + \left(\frac 12 \right)^2 + \cdots + \left(\frac 12 \right)^{r}+\cdots+ \left(\frac 12 \right)^{n}=1[/tex]

This a geometric progression, G.P., of [tex]n[/tex] terms having common ration, r= 1/2 and the first term [tex]a_1= 1/2[/tex].

As sum of all the n terms of  G.P [tex]=\frac {a_1(r^n-1)}{r-1}[/tex],

[tex]\Rightarrow \frac {1/2((1/2)^n-1)}{1/2-1}=1[/tex]

[tex]\Rightarrow - \left(\left(\frac 1 2\right)^n-1\right)=1[/tex]

[tex]\Rightarrow \left(\frac 1 2\right)^n-1=-1[/tex]

[tex]\Rightarrow \left(\frac 1 2\right)^n=-1+1=0[/tex]

[tex]\Rightarrow \frac {1}{2^n}=0[/tex]

This is only possible, mathematically, when [tex]n\rightarrow \infty[/tex], But in real life situation reaching infinity is not possible.

Hence, she can never travel a distance of 1 foot for the given condition.

Please help hurry!!!!! This is due in a couple of minutes!!!!

Answers

Answer:

200 in.

Step-by-step explanation:

1250/75=5000/300=50/3 simplification

50*12=600 conversion to inches

600/3=200 simplification

Simplify the expression.
−(−x)3 − x3

A. −4x3
B. −2x3
C. 2x3
D. 0

Answers

Answer:

D. 0

Step-by-step explanation:

Answer:

d. 0

Step-by-step explanation:

−(−x)3 − x3

(remove parentheses)

x * 3 -x *3

(eliminated opposites)

0

(your answer)

Tina recorded the number of calories she burned during a bike ride. The graph shows Tina’s calories burned, y, after x hours. If Tina rode her bike at a constant rate for the first three hours, what was Tina’s average calories burned, in calories per hour, between hour 0 and hour 3?

Answers

Answer:

the answer is B because 2x3 is ainzqwndwqncjnjqanc2ejn2qncb

Step-by-step explanation:

400 per hour was Tina's average calorie burn per hour between hours 0 and 3 if she rode her bike at a steady speed for the first three hours.

Given that,

Tina kept track of the calories she expended while riding her bike. After x hours, the graph displays Tina's calories burned, y.

We have to find what was Tina's average calorie burn per hour between hours 0 and 3 if she rode her bike at a steady speed for the first three hours.

What is a graph?

A graph is a visual representation or diagram that displays facts or values in an organized manner in mathematics. The relationships between two or more objects are often shown by the points on a graph.

Therefore, 400 per hour was Tina's average calorie burn per hour between hours 0 and 3 if she rode her bike at a steady speed for the first three hours.

To learn more about hours visit: https://brainly.com/question/13533620

#SPJ2

The probability that a truck will be going over the speed limit on I-77 South between Dobson and Elkin is about 75%. Suppose a random sample of five trucks are observed on this stretch of I-77. a. Find the mean of this probability distribution. Show the formula and your work. b. Interpret the mean in the context of the problem. c. Find the standard deviation of this probability distribution. Round your answer to 2 decimal places. d. Find the probability that exactly 3 of the observed trucks are speeding. e. Find the probability that less than 3 of the observed trucks are speeding.

Answers

Answer:

Explained below.

Step-by-step explanation:

Let X = number of trucks that will be going over the speed limit on I-77 South between Dobson and Elkin.

The probability of X is, p = 0.75.

A random sample of n = 5 trucks are observed on this stretch of I-77.

The random variable X follows a binomial distribution with parameters n = 5 and p = 0.75.

(a)

Compute the mean as follows:

[tex]\mu=n\times p=5\times 0.75=3.75[/tex]

The mean of this probability distribution is 3.75.

(b)

The mean of 3.75 implies that on average 3.75 trucks that will be going over the speed limit on I-77 South between Dobson and Elkin.

(c)

Compute the standard deviation as follows:

[tex]\sigma=\sqrt{np(1-p)}=\sqrt{5\times 0.75\times (1-0.75)}=0.968[/tex]

Thus, the standard deviation of this probability distribution is 0.97.

(d)

Compute the probability that exactly 3 of the observed trucks are speeding as follows:

[tex]P(X=3)={5\choose 3}(0.75)^{3}(1-0.75)^{5-3}\\\\=10\times 0.421875\times 0.0625\\\\=0.263671875\\\\\approx 0.2637[/tex]

Thus, the probability that exactly 3 of the observed trucks are speeding is 0.2637.

(e)

Compute the probability that less than 3 of the observed trucks are speeding as follows:

[tex]P(X<3)=P(X=0)+P(X=1)+P(X=2)\\\\=\sum\limits^{2}_{x=0}{{5\choose x}(0.75)^{x}(1-0.75)^{5-x}}\\\\=0.0009765625+0.0146484375+0.087890625\\\\=0.103515625\\\\\approx 0.1035[/tex]

Thus, the probability that less than 3 of the observed trucks are speeding is 0.1035.

Line segment EF is shown on a coordinate grid: A coordinate plane is shown. Line segment EF has endpoints negative 3 comma 2 and negative 1 comma 2. The line segment is rotated 180 degrees counterclockwise about the origin to form E'F'. Which statement describes E'F'? E'F' is perpendicular to EF. E'F' and EF are equal in length. E'F' is half the length of EF. E'F' is greater than twice the length of EF.

Answers

Answer:

The answer is " E'F' and EF are equal in length".

Step-by-step explanation:

By rotating that through some degree, a revolution is some kind of rigid transformation, which creates an image of the very same shape and size. There will be two main properties of the rotation:

Preservation of rotating scale (including sides and angles). The lines connecting the rotation center to the pre-image and the corresponding image point are of equal length.

In each line, the segment is rotated counterclockwise 180 degrees around the origin to form E'F, that's why the above given choice is correct.

Answer:

The answer is " E'F' and EF are equal in length

Step-by-step explanation:

helppp plsssssssssssssssssssss

Answers

Answer:

6b-8=58

b=11

Step-by-step explanation:

Mike has $800 in his bank account. Over the last 5 years, the amount in his account has went down to $300. What integer represents the average decrease in value PER YEAR?​

Answers

Answer:

The average decrease each year is 60 because 300 divided by 5 is 60.

HOPE THIS HELPS

Carrie needs to determine the number of tiles that will fit in each row along the back of the shower. If the back of the shower measures 6 feet long and each tile is Two-thirds of a foot long, which equation shows how to determine the number of tiles that will fit in each row?

Answers

Answer: A6/ 2/3= 9

Step-by-step explanation:

We know that one tile is 2/3 ft long and we want to cover 6 ft (which is the given measure of the back of the shower).

To know the number of tiles needed, we will simply do cross multiplication as follows:

1 tile ...............> 2/3 ft

?? tiles ...........> 6 ft

Number of tiles = (6*1) / (2/3)

Number of tiles = 6 / (2/3)

Number of tiles = 9 tiles

Answer:

A). 6 ÷ 2/3 = 9

Step-by-step explanation:

what would be the graph for y=2x+5

Answers

See attachment for math work and answer.

Answer:

See attached picture.

Step-by-step explanation:

We know that in slope-intercept form [tex]y=mx+b[/tex], [tex]m[/tex] represents the slope of the line and [tex]b[/tex] represents the y-intercept. To start we would put a point on (0,5) to represent the y-intercept. Next, we know our slope is 2 so we would go up two and right one to get to our next point (2,6). We can then make a straight line between these to get our graph

Solve 5(x+9) - 4 = 71 for x

Answers

Solving for x you would get X=6

Answer:

x = 6

Step-by-step explanation:

5 times x is 5x, 5 times 9 is 45; 5x+49-4; 49 minus 4 is 45; 5x+45 = 75; now minus 45 from each side so it would now be 5x = 30; now divide; 30/5 = 6.

Help me solve this problem please

Answers

Answer:

6

Step-by-step explanation:

2(6) - 3(6) + 20 + 5(6) - 40 = 4  CORRECT

2(8) - 3(8) + 20 + 5(8) - 40 = 12 WRONG

2(16) - 3(16) + 20 + 5(16) - 40 = 44  WRONG

2(18) - 3(18) + 20 + 5(18) - 40 = 52 WRONG

I hope it helps :) But the answer should be 6

Which of the following can be concluded given Z1 a ZT?
4
3/2
5
a

Answers

D alternate exterior angles

It took Jill two hours to drive 100 miles. What was her average speed?

Answers

Answer:

50 miles per hour

Step-by-step explanation:

Divide 100 by 2

50

Hope this helped :)

What is the missing term in the factorization? 1872 -- 32 2(3x+?) (3x – 4) Enter your answer in the box.​

Answers

Answer:

4

Step-by-step explanation:

..........................

PLEASE HELP, IM NOT SURE!!!


The scale on a map reads 2 inches = 5 miles. What is the actual distance
between two cities on the map that are 6.5 inches apart?*
O A. 2.6 miles
B. 13 miles
O C.32.5 miles
D. 16.25 miles

Answers

Answer:

Step-by-step explanation:

2 inches = 5 miles.

So if you divide both sides by 2,

1 inch = 2.5 miles

To find how many miles 6.5inches is equal to, multiply 2.5 by 6.5

6.5 inches = 2.5 x 6.5 = 16.25 miles

SHCIUWU SIU SIJSJSH USIABSBNJSSJJAKJAH YUJJU

Can somebody please help?

Answers

Answer: C

Step-by-step explanation: I could tell just by looking at the first two, they’re negative

Using the scale 1 cm : 5 meters, Tamara calculated the length of her old gym to be 45 meters and the width to be 20 meters.

Using a new scale, 1 cm : 10 meters, she found the length of the new gym to be 90 meters.



The width of the new gym is
meters.
The length and width of the new gym are
times the length and width of the old gym.

Answers

Answer:

1.The width of the new gym is 40

2.The length and width of the new gym are  

times the length and width of the old gym 2

Answer:

The width of the new gym is 40 meters.

The length and width of the new gym are 2 times the length and width of the old gym.

Step-by-step explanation:

what is the slope of a line perpendicular to the line whose equation is 9x+3y=-27

Answers

Answer:

y = (1/3)x - 27 <-- perpendicular line

Step-by-step explanation:

9x + 3y = (-27)

3x + y = (-27)

y = (-3x) - 27 <-- original line

y = (-3x) - 27 <-- original line

slope = (-3)

slope = (-3/1)

inverse = (1/-3)

negative inverse = (1/3)

y = (1/3)x - 27 <-- perpendicular line

Write the equation of a line with a slope of 1/4 and a y-intercept of -5 in slope intercept form.

Answers

Answer:

y=1/4x-5

Step-by-step explanation:

slope goes before x and y intercept is the number with no variable.

Write the slope intercept form of an equation for the line containing (0,-3) with slope -1.

Answers

Answer:

y=-x-3

Step-by-step explanation:

Formula (point slope): y-y1=m(x-x1)

y-(-3)=-1(x-0)

(distribute the -1)

y+3=-1x+0

(combine like terms)

y=-1x-3

How do I factor
x ^5−x^ 4+3x−3

Answers

Answer: look at picture

Explain Null Factor Law

Answers

The Null Factor Law

Clearly,
0x9=0
9x0=0
0x0=0

So,
If the product of any two numbers is zero, then one or both of the numbers is zero. That is, if ab= 0, then a=0 or b=0 (which includes the possibility that a=b=0)

(I found this off of a website for you, hope it helped.)

Answer:

If the product of any two numbers is zero,then one or both of the numbers is zero.That is,if ab=0, then a=0 or b=0 (which includes the possibility that a=b=0).

can u guys help with my one question i have left

Answers

Answer:

Weeks in a Year. A normal year has 365 days, which is 52 Weeks and 1 Day. A leap year has 366 days, which is 52 .

Step-by-step explanation:

hope this helps :)

Answer:

I think 6

Step-by-step explanation:

365/12=30.42

30.42/5= 6.08

help please !!! show work​

Answers

Answer:

y = [tex]\frac{2w}{x^{2}}[/tex]

Step-by-step explanation:

To solve an equation for one of its variable do that

Underline the variableSeparate it on one side and the other terms on the other sideMake its coefficient equal 1

Let us use these steps to solve our question

∵ w = [tex]\frac{1}{2}[/tex] x²y

→ Underline y

∴ w = [tex]\frac{1}{2}[/tex] x²y

→ Multiply both sides by 2 to cancel the denominator 2

∵ 2 × w = 2 ×  [tex]\frac{1}{2}[/tex] x²y

∴ 2w = x²y

→ Divide both sides by x² to move it to the left side

∵ [tex]\frac{2w}{x^{2}}[/tex] = [tex]\frac{x^{2}y}{x^{2}}[/tex]

∴  [tex]\frac{2w}{x^{2}}[/tex] =  y

→ Switch the two sides

y = [tex]\frac{2w}{x^{2}}[/tex]

which fraction is less 2/10 or 5/8 or neither they are equal

Answers

2/10 is less, because with a common denominator they are 8/40 and 25/40.  Since 5/8 = 25/40, and 8/40 is smaller than that, 2/10 is smaller.

Answer:

2/10 is less than 5/8

Step-by-step explanation:

2/10 =0.20

5/8= 0.625

0.20<0.625

What is the average rate of change in height over the entire 5 seconds?

Answers

Answer:“To get the average rate of change between 2 points...” To get the average rate of change between 2 points, plug in their coordinate values into the equation (y2-y1)/(x2-x1). The values come from the points (x1,y1) and (x2,y2).

Step-by-step explanation:

Numbers like 10, 100, 1,000, and so on are called

Answers

Answer:

Powers of ten

Step-by-step explanation:

They are the result of multiplying 1= times iteself however many times.  

Other Questions
A.(-2,3)B.(-2,-3)C.(2,3)D.(4,3) Translate the algebraic expression below into a written expression. What does the Constitution say in regards to the importation of slaves? Civilizations usually expand through --a- trade b-conflictc-explorationd- all of the above are examples of ways that civilizations have expanded List five questions that you will ask about product and answer also the question given below Plz can someone help FASTHow does a circuit with a 1.5-volt battery compare to a circuit with a 9-volt battery? How does our life become easierand comfortable in a community?Give me some point which phrase signals a cause and effect relationshipA) not long afterB) this led toC). to begin withD). at that point At a local fitness center members pay an 8$ membership fee and $3 for each aerobics class nonmembers pay $5 for each aerobics class for what number of aerobics classes will the cost for members and nonmembers be the same 0.3 km are in how many miles? WILL GIVE BRAINLEIST FOR FIRST ANSWER 10) Sarah is 3 years older than her sister Mary.Together their ages add up to 23. How old is Mary? A manufacturing factory is accused of emitting high levels of CO2 into the ecosystem. The factory burns coal to heat steeldrums. The factory uses lake water to cool the drums. The water is poured over the drums and then emptied back into thelakeScientist A claims the factory is responsible. The burning of coal releases excess CO2 into the atmosphere. This excess CO2 istransferred to all areas. The CO2 is not lost throughout the system.Scientist B clams the factory is not responsible. The CO2 is released directly into the atmosphere, not into the lake. The CO2 islost into the upper layers of the atmosphere and not cycled back into the ecosystemThe model represents the cycle of carbon in the atmosphere. Which key issue illustrated in the model would best support ScientistA's claim?A)The model shows a factory creating excess levels of CO2B)The model depicts a continuous cycle. An increased level in one area willincrease levels throughout.The model depicts multiple cycles. The atmospheric cycle would show anincreased level of CO2The model shows high levels of carbon in the lake. Any change to this levelwill have a greater impact on the atmosphere.D) We love new orlean saints, or something like that Alcohol is a ___ to the central nervous system What is the image of point (-3,-1) under a reflection in the origin? Polytheism is the belief in one all powerful, just and personal god True or False ? x2 + 6 x+8 = 0 What is the factors PLEASE ANSWER!! Quadrilateral PQRS is shown on the coordinate plane. Excess carbon gasses released into the atmosphere cause additional radiation and Earth's average temperature to increase. This phenomenon is known as