The teacher is handing out note cards to her students. She gave 2 note cards to the first student, 6 note cards to the second student, 18 note cards to the third student, and 54 note cards to the fourth student. If this pattern continues, how many note cards will the teacher give to the fifth student?​

Answers

Answer 1

Answer:

162 because if you multiply all of them by 4 you get the answer

Answer 2

The teacher will give 162 note cards to the fifth student.

Students                       =  1    2    3    4    5
Number of handing     =   2   6   18   54   ?
out note cards


What is geometric progression?

It is pattern of series, its ratio with preceding values remains equal.

Here,
First term(a) = 2
common ratio(r) = 3
Nth term = ar^(n-1)


5th term =  2 x 3^(5-1)
               =  2 x 3^4
               = 162

Thus, the teacher will give 162 note cards to the fifth student.

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Related Questions

Theodore buys a sandwich for $4.47 and two salads for $5.10 each. If he pays with a $20 bill, how much change does he receive?
*WITH PROOF AND ANSWER I GIVE YOU BRAINIST AND POINTS PLUS TY*
a
$5.24
b
$5.33
c
$5.21
d
$5.19

Answers

Answer:

b. $5.33

Step-by-step explanation:

one sandwich for 4.47

two salads for 5.10 each, so 10.20 for both;

now add 10.20 and 4.47 together: you get 14.67

the bill comes to 14.67, but he pays 20.00;

so subtract 14.67 from 20; you get 5.33

his change is $5.33

can i get brainliest please?

find all the zeros of the polynomial function
x^3-2x^2 +5x-10

Answers

Answer: x = [tex]\sqrt{5} , -\sqrt{5}[/tex] , and 2

Step-by-step explanation:

in the first two monomials you can factor out x^2, and on the last pair of two monomials you can factor out 5

so, x^2(x-2)+5(x-2)

some rule out there says you can simplify this to

(x^2+5)(x-2)

to find the zeroes, set it equal to zero

(x^2+5)(x-2) = 0

you can split up the pairs of parenthesis to equal 0

(x^2+5) = 0

(x-2)=0

find x for both equation and you end up with [tex]\sqrt{5} , -\sqrt{5} , and 2[/tex]

If the regular price of a new T-shirt is $13.95 and its on sale for 25% off. what is 25% of the price rounded to the nearest cent?

Answers

Answer:

3.49

Step-by-step explanation:

What would be the slope, zero, and the y-int of y = 1/2x -1

Answers

Answer:

slope=1/2, y-int=-1

Step-by-step explanation:

y=mx+b

m=1/2

b=-1

TIMED TEST PLEASE ANSWER!!

Which does NOT represent the interior angle measures of a triangle?
A. 50, 750, 100°
B. 10°, 80°, 90°
C. 20°, 60°, 1000
D. 45°, 45°, 45°
E. 50°,50°, 80°

Answers

Answer:

A (also c if it is 1000 rather than 100)

Step-by-step explanation:

Interior angles in a triangle add up to 180°

help! what is the meaning of math. what math is useful to us and why? why do we learn math we don’t need to know?

Answers

Step-by-step explanation:

We learn math to expand the memory and learn it just in case you need it later on. You will not always have your phone on you so you can't always have a calculator. We learn math that we don't need because it helps us learn other problems just in cause and open you up to new jobs.

Answer:

The study of the measurement, relationships, and properties of quantities and sets, using numbers and symbols.

Step-by-step explanation:

Mike's plumbing charges 22 for coming to your house and 17 per hour for labor . If I paid him 311 , how many hours,h, was mike at my house write and solve an equation that is represented in this scenario.

Answers

311-22=289 which is just the fee for coming to your house then divide that by 17 for how many hours and 289 divided by 17 = 17 so 17 is your answer

Look at the picture and you’ll see.

Answers

Answer:

None of the above

Step-by-step explanation:

Answer:

the picture isn't loading :(

Step-by-step explanation:

Three lemon cookies and two fudge cookies have a total of 400 calories. Two lemon cookies and three fudge cookies have a total of 425 calories. How many calories are in each kind of cookie?

Answers

Answer:

lemon cremes contain 70 calories. fudge cookies contains 95 calories

Step-by-step explanation:

Let x represent the amount of calories in lemon cremes.

Let y represent the amount of calories in fudge cookies.

Three lemon cremes plus two fudge cookies have 400 calories. This means that

3x + 2y = 400 - - - - - -- - - - -1

Two lemon cremes plus three fudge cookies have 425 calories. This means that

2x + 3y = 425- - - - -- - - - - - 2

Multiplying equation 1 by 2 and equation 2 by 3, it becomes

6x + 4y = 800

6x +9y = 1275

Subtracting,

-5y = - 475

y = - 475/- 5

y = 95

Substituting y = 95 into equation 1, it becomes

3x + 2×95 = 400

3x = 400 - 190 = 210

x = 210/3 = 70

x = 70

2 over 9 minus 1 over 3 in simplest form

Answers

Answer:

2/9 - 1/3 (If you want to solved: -1/9)

Step-by-step explanation:

2 over 9 is 2/9 minus is just -  and 1 over 3 is 1/3 so the equation looks like this: 2/9-1/3

To solve this you need to multiply the 1/3 by 3 on both the denominator and numerator: 2/9-3/9

simplify: -1/9

Hope this helps!

A car can travel 476 miles on 14 gallons of gas. Write a proportion relating the distance to the number of gallons. How many miles can the car travel on 17 gallons?

Answers

Answer:

578 miles

Step-by-step explanation:

In order to solve this problem, we need to first calculate how many miles the car can travel on a single gallon of gas. To do this we simply divide the 476 miles that the car travelled by the 14 gallons it used to do so.

476 miles / 14 gallons = 34 miles per gallon

Now, we can see that car can travel 34 miles for every gallon of gas it uses. Therefore, in order to calculate the distance, it can travel on 17 gallons, we simply multiply 34 miles by the 17 gallons we will use like so...

34 miles * 17 gallons = 578 miles

If Chris paid $450 for a television that was 75% of the original price, what was the original price?

Answers

Answer:

$787.50

Step-by-step explanation:

[tex] \frac{75}{100} \times 450 =337.50[/tex]

[tex]337.50 + 450 = 787.50[/tex]

i think this is the answer

Answer:

$600 is the original price

Step-by-step explanation:

Multiply each pair of factors. Type the product in
the space provided.
(6 +31)(6 - 31) =
(4-51)(4+51) =
(-3+81)(-3-81)

Answers

Answer:

(6+31)(6-31)=-925

(4-51)(4+51)= -2585

(-3+81)(-3-81)= -6552

Which point on the graph represents the y-intercept? V W Y Z​

Answers

Answer:

W

Step-by-step explanation:

It is W because the y-intercept is always on the y line.

W hits the y-axis,which means the y intercept.

If it took eight men ten hours to build a wall, how long will it take four men?

Answers

Answer:

I want to say 20

Step-by-step explanation:

4 is half of 8, so double the time and its 20.........

Since it took 10 hours for 8 men to build a wall. If you had 4 men build a wall it would most likely take twice as long than if there were 8 men due to less people.

So it would take 20 hours for 4 men to build a wall.

what is -0.10416666666 as a fraction

Answers

Heyyyyyyy how do you answer

Answer:-5208333333/50000000000

Step-by-step explanation:

what is direct variation

Answers

Answer:

its mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other.

The opening under a bridge is in the shape of a semielliptical arch and has a span of 82 feet. The height of the arch, at a distance of 9 feet from the center, is 28 feet. Find the height of the arch at its center. Hint: let the center of the horizontal span be (0, 0).

Answers

Answer:

28.7 feet

Step-by-step explanation:

The equation of a parabola is in the form:

[tex]\frac{x^2}{a^2}+ \frac{y^2}{b^2}=1\\ \\where\ (\pm a,0)=major\ axis,(0,\pm b)=minor\ axis[/tex]

The bridge can be represented as:

Since the width of the bridge is 82 feet, therefore 2a = 82, a = 41

[tex]\frac{x^2}{41^2} +\frac{y^2}{b^2}=0\\ \\The\ point\ (9,28)\ lie\ on \ the\ ellipse\ hence\ substituting:\\\\\frac{9^2}{41^2} +\frac{28^2}{b^2}=1\\\\0.048+\frac{28^2}{b^2}=1\\\\\frac{28^2}{b^2}=1-0.048=0.952\\\\b^2=824\\\\b=\sqrt{824}\\ \\b=28.7 \\\\[/tex]

The arch is 28.7 feet from its center

The range of g(x)= [[x/2]] is:
A. All real numbers
B. All odd integers
C. All integers
D. All negative numbers
E. All even numbers

Answers

B, A
Are the answers to that problem!

The requried range of the given greatest integer function is all integers. Option C is correct.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Given expression  g(x)= [[x/2]],
Since the given expression is the greatest integer function so the range of the function will be all integers as given as,
For example,
x = 3
g(x) = [[x / 2]]
g(3) = [[3 / 2]]
     = [1.5]
     = 2    [since for greatest integer function [x] = x + 1 or = x]

 

Thus, the requried range of the given greatest integer function is all integers. Option C is correct.

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Sierra plays a video game an earns 2,578 points. If she plays the game 5 more times and earns the same number each time how many points will she get? i really need help im a 4th grader

Answers

Answer:

Total points= 12,890 points

Step-by-step explanation:

Giving the following information:

For each time Sierra plays, she earns 2,578 points. Therefore, the total point formula is:

Total points= 2,578*x

x= number of games played

Now, we multiply for 5 plays:

Total points= 2,578*5

Total points= 12,890 points

in the circle below, the sum of which arcs is equivalent to arc CG?

arc CG = arc CD + arc FG
arc CG = arc CF + arc EG
arc CG = arc CE + arc DG
arc CG = arc CE + arc EG

Answers

Answer: arc CG=arc CE+ arc EG

Step-by-step explanation:

The arc CG is the sum of arc CE and arc EG option fourth arc CG = arc CE + arc EG is correct.

What is a circle?

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

We have a circle shown in the picture.

As we can see the arc CG is marked on a circle.

CG is the sum of CE and EG.

or

arc CG = arc CE + arc EG

Thus, the arc CG is the sum of arc CE and arc EG option fourth arc CG = arc CE + arc EG is correct.

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which decimal number shows two and one tenth in standard form

A 0.21
B 2.01
C 2.1
D 20.1

Answers

Hi! I believe your answer is C- 2.1 because the number 2 is in the whole number spot and the first number after the decimal is the tenth. So, it's 2 and one-tenth, because there's a one. I hope this helps you! Good luck and have a great day. ❤️

3x = -1/2 I don’t know the answer

Answers

Answer: X = -1/6

Step-by-step explanation:

So what we know is that 3 times something will equal negative one half. Tog get to that number, we divide the 3x by 3 to get x and the same on the other side so 3 divided by -1/2 is  1/6.

Solve for x, y, and z in the figure below.

Answers

Answer:

I believe the answer is A.

Step-by-step explanation:

Correct me if im wrong plz thanks

Answer:

I think the answer is A

-(4+m)+2=m what is m

Answers

Answer:

m=-1

Step-by-step explanation:

-(4+m)+2=m

-2-m=m

-2=2m

m=-1

the answer is M= -1

A number has a 6 in the tenths place. The number also has a digit whose value is 1/10 the value of the 6 in the tenths place. Which could be the expanded form of the number?

Answers

Answer:

The expanded form of the number is

= 6 × 1/10 + 6 × 1/100

= 6/10 + 6/100

= 0.6 + 0.06

The number is = 0.66

Step-by-step explanation:

A number has a 6 in the tenths place. The number also has a digit whose value is 1/10 the value of the 6 in the tenths place. Which could be the expanded form of the number?

We are told that a number has 6 in its tenth place

This means

6/10 = 0.6

The number also has a digit whose value is 1/10 the value of the 6 in the tenths place.

This means

= 6/10 × 1/10 = 6/100

0.6 × 1/10

= 0.06

Hence, the expanded form

= 6 × 1/10 + 6 × 1/100

= 6/10 + 6/100

= 0.6 + 0.06

= 0.66

Susanna deposits $400 in a savings account with an interest rate of 3% compounded annually. What equation could Susanna use to calculate
how many years it will take for the value of the account to reach $600?

Answers

The equation that Susanna could use to calculate how long it would take for the account to reach a value of $600 is 600=400(1.03)^x.

How is future value found?

Future value is calculated as:

= Amount x (1 + rate) ^ number of years

If the number of years is to be found and the future value is already known, then the number of years can be x:

600 = 400 x (1 + 3%) ^ number of years

600 = 400(1.03)^x

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Yoshio has three peices of fabirc. Each piece of fabric has the same length. The total length of the fabric is 2 1/4 yards. What is the legth of each pice of fabric?

Answers

Answer:3/4

Step-by-step explanation:2 1/4/3=3/4

Length of each piece of fabric is [tex]\boldsymbol{\frac{3}{4}}[/tex] yards.

Define length.

The term "length" involves the measurement of distance. Length is a variable with the value distance in the International System of Quantities.

Number of pieces of fabric [tex]=3[/tex]

Total length of a fabric [tex]=2\frac{1}{4}[/tex] yards

                                     [tex]=\boldsymbol{\frac{9}{4}}[/tex] yards

Therefore,

Length of each piece of fabric [tex]=\frac{9}{4}\div 3[/tex]

                                                   [tex]=\boldsymbol{\frac{3}{4}}[/tex] yards

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(-8)+6-8+(-5)
A. -11
B. -15
Which one?​

Answers

Answer:

B

Step-by-step explanation:

if this helps plz give me brainliest :)

Answer:

-15

Step-by-step explanation:

-8+6=-2

-2-8=-10

-10-5=-15

Express this number in standard form.
9.647 times 10^{7} =

Answers

Answer:

96,470,000

Step-by-step explanation:

10^7=10,000,000

10,000,000 * 9.647= 96,470,000

Hope this helps!

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