Akira is folding a piece of paper that is 0.2 millimeters thick in half. The thickness of the paper doubles with each fold. Let n represent the fold number and t(n) represent the thickness of the paper. Which exponential function represents this scenario?

Answers

Answer 1

Answer:

t(n)= 0.2 * 2ⁿ

Step-by-step explanation:

Thickness= 0.2 millimeters

paper = 1

n= number of folds

The exponential function will be given by

t(n)= 0.2 * 2ⁿ

so if there's a single fold

t(1)= 0.2 * 2¹

t(1)= 0.4 mm

Now for 2 folds the thickness will be

t(2) = 0.2 *2 ²

t(2)= 0.2 *4

t(2) = 0.8mm

The exponential that represents this scenario is

t(n)= 0.2 * 2ⁿ

And for 3 folds the thickness will be

t(3) = 0.2 *2 ³

t(3)= 0.2 *8

t(3) = 1.6 mm


Related Questions

Can someone help me with this please

Answers

Answer:

hi

Step-by-step explanation:

HELPPPPP MEEEE PLZZZ
Which statement about inequalities is NOT true?

A. An inequality may have integer and rational solutions.

B. An inequality may have positive and negative solutions.

C. If a < b, then b > a.

D. if a < b, then b < a.

Answers

Answer:

D

Step-by-step explanation:

if a<b,then b<a is the answer

An oak tree is planted when it is 750 centimeters tall. What is this height in meters?

Answers

Answer:

7.5

Step-by-step explanation:

750/100=7.5

Answer:

7.5 meters

Step-by-step explanation:

If 100cm=1m

Then 750cm= 750÷100

Therefore 750cm to meters= 7.5m

After eating at the restaurant, Benny, Dan, and Mike decided to divide the bill evenly. If each person paid 47 dollars, what was the total of the bill ? What equation should be used? (write the equation followed by the answer)

Answers

The total of the bill is $141 because 47 x 3 = 141.

20 POINTS
if you dont know the answer please dont answer
12x+24y=48

Answers

Answer:

x=2 y=1

Step-by-step explanation:

12 times 2 equals 24

24 time 1 equals 24

24+24=48

6^2 – 7(8 + 6. – 3^2)
The value of the expression is
?

Answers

1
Ghhvfyjbdginvff hjjjn

Find the value of x

Please help me :)

Answers

Answer:

The answer should be 142 as triangles have a value of 180

Step-by-step explanation:

‼️please help ASAP.

Answers

Try to do them on math -way

I NEED HELP FAST!!!!!!!

Answers

x = -3 because it’s a straight vertical line

answer please. most accurate gets branliest.

Answers

Answer:

m∠U = 36°

m∠V = 75°

m∠T = 69°

Step-by-step explanation:

(2x+14)+(6x+9)+(6x+3)=180

Combine like terms: 14x+26=180

Solve this equation: x=11

Use x=11 to find angles

∠U = 36°

∠V = 75°

∠T = 69°

You can add up all of these measurements to check. =180°

Answer:

The measures of the 3 angles are:Angle T = 69°Angle U = 36°Angle V = 75°

Step-by-step explanation:

The Triangle Sum Theorem states that the 3 angles of a triangle must add up to 180°.

We don't know the angles of the triangle, but we do know that the sum of all three unknown angles is 180°.

We set the three expressions together as equal to 180°.

6x + 3 + 6x + 9 + 2x + 14 = 180

Simplify

14x + 26 = 180

Subtract 26

14x = 154

x = 11

Now, we check our answer for x.

6(11) + 3 + 6(11) + 9 + 2(11) + 14 = 180

69 (measure of angle T) + 75 (measure of angle V) + 36 (measure of angle U) = 180

180 = 180 ✅

Note that once we found x, would substitute it in and get the needed measures. Since the needed measures add up to 180°, we know that our answer is correct.

The measures of the 3 angles are:Angle T = 69°Angle U = 36°Angle V = 75°

A cone has a volume 7065in and a height of 30 in what is the radius of the cone?use 3.14 for pi

Answers

Answer:

15 inches.

Step-by-step explanation:

V = 1/3 pi r^2 h

7065 = 1/3 * 3.14 * 30 * r^2

r^2  = 7065 / (1/3 * 3.14 * 30)

r^2 = 7065 / 31.4 = 225

r = sqrt 225 = 15.

Leo wants to determine the average number of texts middle school students send in a day. Since all middle school
students are enrolled in history, he randamly surveyed 4 'students from each of Mr. Barnes's eighth-grade history
classes. Ms. Lopez and Mrs. Frank also teach eighth-grade history. What should Leo do to ensure his sample is
representative of all middle school students?
O He should take the sample as is because he randomly surveyed students in each of Mr. Barnes's classes.
He should also take a sample from Ms. Lopez's and Mrs. Frank's classes so that each student has the same
chance of being chosen.
O He should also take a sample from each of the other history classes in all of the other grades in the middle school.
O He should survey al the students in all the history classes to make sure he collects enough data.
Mark this and return
Save and Exit
Next
Submit

Answers

Answer:

3rd Choice

Step-by-step explanation:

He is looking to collect a sample representing middle school students, not just 8th grade students. He needs to get all the data from all the middle school students.

A salesperson at a jewelry store earns 3% commission each week. Last week, Jarrod sold $750 worth of jewelry. How much did he make in commission?

Answers

Answer:

hello what are you telling here............

Step-by-step explanation:

Explain how to find the distance between 1.5 and any point, n, on a number line.​

Answers

Do you have a picture

HURRY!
What are all the possible rational solutions for x^4-3x^2+2x5=0

Answers

Answer: x = 1

x =(-3-√-15)/4=(-3-i√ 15 )/4= -0.7500-0.9682i

x =(-3+√-15)/4=(-3+i√ 15 )/4= -0.7500+0.9682i

x2 = 0

Step-by-step explanation:

ind the measure of angle ABC.
B
8x
6x
6x
A
C.
Ok my bad last question anyways ❤️URGENT 25 EACH❤️

Answers

Answer:

angle ABC=72 degrees

Step-by-step explanation:

8x+6x+6x=180 degrees   (all triangles contain 180 degrees)

20x=180

x=9

angle ABC=8x or (8)(9)=72 degrees

Answer:

72°

Step-by-step explanation:

Angle A = 6x

Angle B = 8x

Angle C = 6x

The sum of all interior angles in a triangle is 180°, which means angles A, B and C add up to 180:

A + B + C = 180

substitute in the values for A B and C:

6x + 8x + 6x = 180

Simplify by combining like terms:

6x + 6x + 8x = 180

20x = 180

solve for x:

20x/20 = 180/20

x = 9

Since we know x = 9 and angle B = 8x, u can substitute in the value of x to find the value of angle B:

B = 8x

B = 8(9)

B = 72°

hope this helps!

Triangles ABC and CDE are mathmatecilly similar. work out the length of DE. WORK OUT THE LENGHT OF AB

Answers

Answer:

[tex]DE = 15[/tex]

[tex]AB = 6[/tex]

Step-by-step explanation:

Given

See attachment for triangles

Required

Determine the lengths of DE and AB

To solve for DE, we make use of the following equivalent ratio

[tex]AC : BC =CE:DE[/tex]

Substitute values

[tex]8:5 = 24:DE[/tex]

Express as fraction

[tex]\frac{8}{5} = \frac{24}{DE}[/tex]

Cross Multiply

[tex]DE * 8 = 24 *5[/tex]

[tex]DE * 8 = 120[/tex]

[tex]DE = 120/8[/tex]

[tex]DE = 15[/tex]

To solve for AB, we make use of the following equivalent ratio

[tex]AB : BC =CD:DE[/tex]

Substitute values

[tex]AB : 5 = 18 : 15[/tex]

Express as fraction

[tex]\frac{AB}{5} = \frac{18}{15}[/tex]

Multiply by 5

[tex]5 * \frac{AB}{5} = \frac{18}{15}*5[/tex]

[tex]AB= \frac{18}{15}*5[/tex]

[tex]AB= \frac{18}{3}[/tex]

[tex]AB = 6[/tex]

Write the equation of the line in standard form of the line that passes through (-3, 9) and has a slope of 3.

Answers

Answer:ez just divise all

Step-by-step explanation:

Find the value of x in the parallelogram

Answers

A 8 as the 2 labelled lengths will be the same; 2 x 8 = 16
A. 8 as the labeled lengths will be the same;2x8=16

Four months of the year have thirty days only. What fraction of the set
of months is this?​

Answers

Answer:

4/30 or 4/120

Step-by-step explanation:

Put these fractions in order starting with the smallest:
A-
7/10 3/5 9/20 23/30 4/5

B-
3/10 4/15 9/10 11/15 17/20

C-
9/4 4/3 5/3 7/4 7/5.

D-
17/7 23/7 24/5 17/5 11/35

Thanks<3

Answers

Answer:

A- 9/20 3/5 7/10 23/30 4/5

B- 4/15 3/10 11/15 17/20 9/10

C- 4/3 7/5 5/3 7/4 9/4

D- 11/35 17/7 23/7 17/5 24/5

Mary and Tom were buying a present for their mother for Mother's Day. Mary spent $12 and Tom spent $28. If they want to share the cost equally, how much money does Mary owe Tom?

Answers

Answer:

mary owes tom $8

Step-by-step explanation:

Mary owes Tom $16

Please give brainliest !!

5-2(3 - x) = 4x + 10

Answers

Answer:

False

Step-by-step explanation:

5-2(3-x) =

3(3-x) = (not sure about this step)

9-x, this answer does not equal 4x + 10

5 - 2(3x) = 4x + 10
5 - 6x = 4x + 10
-4x. 4x
——————————-
5 - 2x = 10
-5. -5
————————
-2x = 5
—- —-
-2. -2
——————-
x= -2.5

Complete the statement.

48 fl oz = _____ qt


12

1 1/2

1,536

6

Answers

The answer to your question is 1 1/2

Answer:

B. 1 1/2 qt

Step-by-step explanation:

1 qt = 32 fl oz

1/2 qt = 16 fl oz

32 + 16 = 48

Therefore, your answer would be 1 1/2 qt

Un estudiante de álgebra ha ganado $100,000 en una lotería y desea depositarlos en cuentas de ahorros en dos instituciones financieras. Una cuenta paga 8%de interés simple pero los depósitos se aseguran sólo a $50,000. La segunda cuenta paga 6.4% de interés simple y los depósitos se aseguran hasta $100,000 determine si el dinero se puede depositar para que quede completamente asegurado y gane un interés anual de $7,500

Answers

Answer:

Si puede asegurarse, ya que la inversión en la cuenta bancaria que da un 8% anual, es menor a 100 000 y mayor que 500 000.

Step-by-step explanation:

Ci= 100 000 $

Cuenta #1 = 8% de interés simple. con depósitos de 50 000$.

La segunda para 6.4% con interés simple para depósitos de 100 000$

Determine si el dinero se puede depositar para que fenere un interés de 7500

7500 = C1(0.08)+C2(0.064)

C1+C2= 100 000

C2 = 100 000 -C1

7500 = C1(0.08)+(100 000 - C1)(0.064)

1100= 0.016 C1

C1= 68750$.

Which expression is equivalent to 1/2a + c - (3/2a - 3/4b) + 1/3c?

A. 2a - 3/4b + 1/3c
B. 2a - 3/4b + 4/3c
C. -a + 3/4b + 4/3c
D. -a - 3/4b + 4/3c

Answers

Answer:

C. -a+3/4b+4/3c

Step-by-step explanation:

It's right!

PLZ HELP MEEEEEE WILL GIVE BRAINLIEST

Answers

Answer:

1. X=1/2y+5/2 or y=2x-5, 2 picture

2. X=-3/2y+6 or y=-2/3x+4, 2 picture

3. X=-1/2y+-11/2 or y=-2x-11, 1 picture

4. X=-0.5y+1.5 or y=-2x+3

5. Y=4/3x-9

6. Y=1/4x-2

Step-by-step explanation: I can give you 5 picture, I can’t give you the another step-by-step, hope this help

An isosceles triangle has two sides of equal length. The third side is 5 less than twice the length of one of the other sides. If the perimeter of the triangle is 23 cm, what is the length of the third side?

Explain how you would define a variable for this problem.

Answers

An isosceles triangle has two sides of equal length. The third side is 5 less than twice the length of one of the other sides. If the perimeter of the triangle is 23 cm, what is the length of the third side?

Explain how you would define a variable for this problem.

Evan is going to an amusement park. The price of admission into the park is $40, and
once he is inside the park, he will have to pay $2 for every ride he rides on. How
much money would Evan have to pay in total if he goes on 15 rides? How much would
he have to pay if he goes on r rides?

Answers

Answer:

70

40+2r

Step-by-step explanation:

x= number of rides

40+2x

plug in 15 for x

40+2(15)

70

for hte other part just replace x with r

40+2r

write an expression equivalent to (5p^2-3)+(2p^2-3p^3) in standard format​

Answers

Answer:

-3p^3+7p^2-3

Step-by-step explanation:

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