An eccentric math teacher told his class that he would assign one problem on the first day of school, two
problems on the second day, four problems on the third day, eight problems on the fourth day, and so on. At
this rate, how many problems would he assign on the tenth day? Find a rule that can be used to determine the
number of problems assigned on the nth day.

Answers

Answer 1

N is the day it is, so since we are trying to find the number of problems for the 10th day, n will equal 10. The quantity of problems is doubling each day, so you will create this rule:

2^n - 1

Now, to plug in the numbers:

2^10 - 1

Then we simplify:

2^9

And now we solve this equation:

2^9 = 512


Related Questions

Solve for x.
18 - X= 5
A.X=-13
B.x= 23
C.x= 13
D.x = -23

Answers

x = 13 is the answer. So, C.

Find the new price after the markdown given. Round to the nearest cent if necessary. $5,250 marked down 15%

Answers

Marked down 15% means the new price would be 85% of the original price ( 100%-15% - 85%)

Multiply the original price by 85%:

5250 x 0.85 = 4462.50

The new price is $4,462.50

Help me please :( !!

Answers

Answer:

Step-by-step explanation:

Table

Time            3       6       9        12    

Rainfall        2       4       6         8

Time is on the x axis

Rainfall is on the y axis

Slope = (y2 - y1)/(x2 - x1)

Slope = (8 - 2) /(12 - 3)

Slope = 6/9 = 2/3

Unit rainfall = 2 cm rainfall / 3  hours = 0.667 cm rainfall / hour.

Julie made 40 chocolate
cupcakes and 32 vanilla
cupcakes. What is the
ratio of chocolate to
vanilla cupcakes in
simplest form? HELP ASAP

Answers

Answer:

5 to 4

Step-by-step explanation:

when it's asking for a ratio it's basically division

chocolate/vanilla = 40/32 = 5/4

5/4 is the same as 5:4 or 5 to 4

40+32=72
5/9&4/9=5 to 4

If you could help I would really appreciate it, but if not that’s fine. Thank you.

Answers

since -1 is less than or equal to -1 you input it into the first equation.

-3•(-1) -4
3-4
-1

the answer is -1 good luck

please answer asap!

5=x+8

Answers

Answer:

the answer for your question will be -3

Step-by-step explanation:

x+8=5. -3+8=5,.

Answer:

3

Step-by-step explanation:

You have to move 8 to the other side of the equation.

So the equation becomes 8 - 5 = x

8 - 5 = x

Therefore 3  =  x

The round off value of 10256/32548 up
to three decimal places
Is​

Answers

Answer:

0.315

Step-by-step explanation:

10256/32548 is about 0.3151 (I used calculator)

0.3151 rounded to thousandth place is 0.315

Remember the rule when round, 5 and above, up, below 5, stay the same.

The number after 5 in 0.3151 is 1 and 1 is less than 5, so the 5 stays the same.

Hope I was able to help! Good Luck!

Please Help! Freshman in Highschol for Algebra 1​

Answers

Answer:

Disagree 15 minutes

Step-by-step explanation:

If he starts at 1 and jumps 3 units to the left, then where is he on the number line? How far away from zero is he? (explain how you got your answer)

Answers

Answer:

-2, and 2 away from zero

Step-by-step explanation:

by going left, you are going negative

1-3=-2

-2+2=0, so you are 2 away from the number line

i hope i could help<3

pls helppp 30 points

Answers

The third one from the top!

solve for b? please help me ASAP!!

Answers

Answer:

b = [tex]\sqrt{45}[/tex]

Step-by-step explanation:

Using Pythagoras' identity in the right triangle on the left.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

b² + 6² = 9²

b² + 36 = 81 ( subtract 36 from both sides )

b² = 45 ( take the square root of both sides )

b = [tex]\sqrt{45}[/tex]

Riley can dribble a basketball 50 times and 1/2 minute with her right hand and 30 times and 1/2 minute with her left hand what is the ratio of her right hand or left hand dribbling rate

Answers

Answer:

right 50:30 left

divide both sides by a common factor. (I've used 10 hcf)

right 5:3 left

Can u pls help me with that question

Answers

Answer:

Where’s the question sweetheart I don’t see anything?

Answer:

umm... thanks for the points????????

Step-by-step explanation:

I WILL GIVE BRAINLIEST ihrugq'iu;igig54i;gtq;ha;gv


Diego wrote the inequality 5m + 10 ≤ 130 to represent m, the number of minutes he spent doing homework for one class. Which is the greatest amount of time he could have spent doing homework for each subject?


28 minutes

23 minutes

20 minutes

24 minutes

Answers

24 minutes

5(24) + 10 = 130

Tiffany's allowance is reduced $1.25 every time she forgets to clean her room. If she forgets to clean her room 7 times this month, by how much money is Tiffany's allowance reduced? A. $7.25 B. $8.75 C. $17.85 D. $18.75

Answers

Answer:

$8.75

Step-by-step explanation:

Tiffany allowance is reduced by $1.25 each time she forgets to clean her room

If she forgets to clean her room 7 times this month

Then her allowance is reduced by

= 1.25 × 7

= 8.75

Hence Tifanny allowance is reduced by $8.75

Answer:

Hence Tifanny allowance is reduced by $8.75

Can someone please help me on this

Answers

9514 1404 393

Answer:

  y = -5x³

Step-by-step explanation:

The point of inflection of the parent cubic function f(x) = x³ is at the origin, the same place it is shown on the graph. So, there is no translation involved in creating the graph.

We know the parent function gives f(1) = 1, but here, we have (x, y) = (1, -5). This suggests a vertical scale factor of -5. So, the transformed function is ...

  y = -5x³

The football team has a total of 25 jerseys. There are 10 medium-sized jerseys. What percent of the
jerseys are medium-sized jerseys?
% are medium-sized jerseys.
Type a whole number.)

Answers

Answer:

40%

Step-by-step explanation:

You have completed 35% of your workout. Your workout is 35 minutes long. How much time do you have left?

Answers

Answer:

You have 12.25 minutes left to workout.

Step-by-step explanation:

the top comment is correct

are the following terms like terms 3m+4n yes or no​

Answers

The answer is No. Like terms are terms in an equation that can be added together. Example: 6x+2x.

y = 2x
-6x + 3y = 16
Solve please

Answers

Answer:

(x,y) = ∅

Step-by-step explanation:

-6x+3(2x)=16

this equation equals to zero

therefore there are no solutions

Bo feeds his dog twice a day. In the morning, he feeds the dog 1/3 kg of dog food. In the evening, he feeds the dog 2/10 kg of food. Select the true statement about the amount of food Bo feeds his dog.

Answers

Answer:

8/15 kg of food daily

Step-by-step explanation:

Bo feeds his dog twice a day. In the morning, he feeds the dog 1/3 kg of dog food. In the evening, he feeds the dog 2/10 kg of food.

The total kilograms of food that Bo feed his dog is calculated as:

Number of kilograms fed in the morning + Number of kilograms fed in evening

= 1/3 kg + 2/10kg

The Lowest Common Denominator = 30

= 10 + 6/30

= 16/30

= 8/15 kg

Therefore, Bo feeds his dog 8/15kg of food daily.

Answer:

Both fractions are less than 1/2

​ 1/2 kg

Step-by-step explanation:

PLEASE HELP

A circular garden will have grass planted around a triangular region of flowers as shown in the diagram below. How many square feet will be covered in grass? Round to the nearest square foot.


1,858 ft 2
9,888 ft 2
1,291 ft 2
1,966 ft 2

Answers

Answer:

Option (4)

Step-by-step explanation:

From the picture attached,

ΔABC is a right triangle.

Since, inscribed angle in a semicircle is always a right angle, Hypotenuse AC will be the diameter of the circle.

Length of diameter AC = 58 ft

Radius of the circle = [tex]\frac{58}{2}=29[/tex] ft

Area of the circular garden = πr² [r = radius of the circle]

                                             = π(29)²

                                             = 2642.08 ft²

Area of the right triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                          = [tex]\frac{1}{2}(27)(50)[/tex]

                                          = 675 ft²

Area of the of the region covered with grass = Area of the circular garden - Area of the right triangle

= 2642.08 - 675

= 1967.08 ft²

≈ 1966 [Nearest value]

Option (4) will be the answer.


Write an equation in slope-intercept form
(y = mx + b) of the line that is
perpendicular to the graph of 4x + 8y = 5
and passes through (3,9).

Answers

the answer is y=-1/2x + 5/8

What’s the measure of the other angle?

Answers

61 because they r congruent

Today, everything at a store is on sale. The store offers a 20% discount.
If a customer paid $25 for a hat, what is the regular price for the hat?

Answers

The regular price would be $31.25

A. Subtraction
B. Qoutient
C. Scientific Notation
D. Quadratic Equation​

Answers

Answer: D: Quadratic Equation.

Step-by-step explanation:

y = a*x^2 + b*x + c is a polynomial of degree = 2, this is also called a quadratic equation (because the largest exponent is 2)

Then the correct option is D: Quadratic Equation​

The other options are used for:

A: Subtraction:

This is for the difference between two numbers, a subtraction is X - Y.

B: Quotient:

This is for a division between two numbers, the quotient between X and Y is:

X/Y.

C: Scientific Notation:

This is used to simplify the notation of numbers with a lot of digits. Instead of write numbers like:

13,000,000

We can just write this as:

1.3*10^7

Help me please...........:)

Answers

Answer:

4/3

Step-by-step explanation:

4(1/2+3/4)+(-2)

I need help

Answers

Answer:

3

Step-by-step explanation:

4(1/2+3/4)+(-2)   Distribute.

2+3+(-2)             Simplify.

2+3-2

5-2

3

Hope this helps!! Have an amazing day (。・∀・)ノ゙

2 pounds of grapes cost $8 How do they cost per pound? How many pounds of grapes do you get per dollar?

Answers

Answer:

$4 per pound and 0.25 pounds per dollar

Step-by-step explanation:

48 divided by 2 = $4

1 divided by 4 = 0.25

8 cm
What is the area of the circle above?
OA. 8 sq cm
OB. 24 sq cm
OC.
16 sq cm
OD. 64 sq cm

Answers

Answer:

Step-by-step explanation:

A = (3.14)(8)2

= 200.96

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