Timothy makes reduced copies of a photograph that has an actual length of 8 in. Each time he presses the reduce button on the copier, the copy is reduced by 12%. What formula shows the pattern for the size of each copy of the photograph as it is reduced? What is the length of the photograph’s copy if Timothy presses the reduce button 5 times? Round to the nearest tenth.

Answers

Answer 1

Answer:

length of the photograph will be 4.2 in. after pressing the button 5 times.

Step-by-step explanation:

By pressing the button, every time size of the photograph gets reduced by 12%.

Therefore, the sequence formed by the reduced sizes of the photo will be a geometric sequence and the formula for the size of the reduced image will be,

L = [tex]l(1-\frac{12}{100})^{n}[/tex]

Where l = Actual length of the photograph

L = length of the reduced image

n = Number of times the button has been pressed

For l = 8 in. and n = 5

L = [tex]8(1-0.12)^{5}[/tex]

  = [tex]8(0.88)^{5}[/tex]

  = 4.22 in

L ≈ 4.2 in.

Therefore, length of the photograph will be 4.2 in. after pressing the button 5 times.

Answer 2

The length of the photograph's copy when the button is pressed the 5th times is 4.2 inches

The question is an illustration of an exponential function.

An exponential function is represented as:

[tex]y = ab^x[/tex]

Where:

a represents the initial value i.e. a = 8b = 1 - r; and r represents the rate. i.e. r = 12%.

So, the function becomes

[tex]y = 8 \times (1 - 12\%)^x[/tex]

Express 12% as decimal

[tex]y = 8 \times (1 - 0.12)^x[/tex]

This gives

[tex]y = 8 \times 0.88^x[/tex]

When the button is pressed the 5th times, we have:

[tex]y = 8 \times 0.88^5[/tex]

[tex]y = 4.2[/tex]

Hence, the length of the photograph's copy is 4.2 inches

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Related Questions

Quadrilateral ABCD is inscribed in a circle
What is the measure of angle A?

Answers

Answer:

Quadrilateral ABCD is inscribed in a circle, then

A + C = 180

=> 2x + 9 + 3x + 1 = 180

=> 5x = 170

=> x = 34

=> A  = 2 x 34 + 9 = 77 deg

Hope this helps!

:)

Answer:

77°

Step-by-step explanation:

ABCD is inscribed in a circle. Therefore it is a cyclic quadrilateral. Opposite angles of a cyclic quadrilateral are supplementary.

[tex]\therefore \angle A + \angle C = 180° \\ (2x + 9) \degree + (3x + 1) \degree =180° \\ (5x + 10) \degree =180° \\ 5x + 10 = 180 \\ 5x = 180 - 10 \\ 5x = 170 \\ x = \frac{170}{5} \\ x = 34 \\ \angle A = (2 \times 34 + 9) \degree \\ \huge \red{ \boxed{\angle A= 77 \degree}} \\ [/tex]

There are 110 people at a meeting. They each shake hands with everyone else. How many handshakes were there?

A) Permutation

B) Combination

C) Circular permutation

Answers

Each of them shakes hands with 109 others.
109*110 = 11990 handshakes were done.

Simplify 8^2/3 -√9×10^0+(1/144)^-1/2

Answers

Answer:

13

Step-by-step explanation:

We have the following expression:

[tex]8^{\frac{2}{3} } -\sqrt{9}*10^{0} + (\frac{1}{144}) ^{-\frac{1}{2} }[/tex]

If we do part by part, we have remains:

[tex]8^{\frac{2}{3} }[/tex] = 4

8 = 2^3

Therefore, the exponents 3 * 2/3 = 2 are multiplied

2^2 = 4

[tex]\sqrt{9}*10^{0}[/tex] = 3

We know that the root of 9 is equal to 3 and that every number raised to 0 is equal to 1, therefore 1 * 3 = 3

[tex](\frac{1}{144}) ^{-\frac{1}{2} }[/tex] = 12

When the exponent is negative, the fraction can be inverted and at the end there is 144 ^ 1/2, which would be the root of 144, which is equal to 12.

So, we have:

4 - 3 + 12 = 13


what’s the answer for this question

Answers

Answer:

128

Step-by-step explanation:

you do 16 x 16 (256) and then divide it by 2

Please help me now plz I will mark you brainliest

Answers

Answer:

Neither

Step-by-step explanation:

It can be paralel because they both pass through -7 and it cant be perpendicular because the dont intersect at a 90 degree angle

What is the volume of a rectangular prism with a length of 2 inches, a width of an inch & is a quarter of an inch in height?

Answers

Answer:

= 1/2 inches ^3

Step-by-step explanation:

The volume of a prism

V = l*w*h

  = 2 * 1 *1/4

  = 1/2 inches ^3

Answer:

[tex] = \frac{1}{2} {in}^{3} [/tex]

Step-by-step explanation:

[tex]v = whl \\ = 1 \times \frac{1}{4} \times 2 \\ = \frac{2}{4} \\ = \frac{1}{2} {in}^{3} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

A pink crayon is made with 12\text{ mL}12 mL12, start text, space, m, L, end text of red wax for every 5\text{ mL}5 mL5, start text, space, m, L, end text of white wax

Answers

Answer:

Your answer would be:

#1: 36 mL of red wax mixed with 15 mL of white wax.

#2: 60 mL of red wax mixed with 25 mL of white wax.

HOPE THIS HELP

Answer:c and b

Step-by-step explanation:

Solve the following system of equations {4x−6y=105x+6y=−55

Answers

Answer:

31557778998765432

Step-by-step explanation:

is it impossible

The length of a rectangular plot is expressed as x²m and the breadth is xm if the area of the rectangular plot is 5832sqcm then find it's length and breadth

Answers

Answer:

Length = x^2 = 0.835^2 = 0.698 m = 69.8cm

Breadth = x = 0.835 m = 83.5cm

Step-by-step explanation:

Given;

Length of the rectangular plot l = x^2 m

Breadth b = x m

Area A = 5832 cm^2 = 0.5832 m^2

(They should be converted to the same units before solving: length in metres and area in square metres)

The area of a rectangular plot can be calculated using the formula;

Area = length × breadth

A = l × b

Substituting the values of l and b;

A = x^2 × x

A = x^3

Substituting the value of A;

0.5832 = x^3

solving for x;

x = (0.5832)^(1/3)

x = 0.835 m

Length = x^2 = 0.835^2 = 0.698 m = 69.8cm

Breadth = x = 0.835 m = 83.5cm

Given the function f(x)=7x-4 find f(3)

Answers

Answer:

17

Step-by-step explanation:

f(x)=7(3)-4     Distributive Property

f(x)=21-4        Subtract

f(x)=17

The value of f(3) is 17

what is function?

Function, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are ubiquitous in mathematics and are essential for formulating physical relationships in the sciences.

Given:

f(x)=7x-4

Now for x=3

f(3)= 7*3-4

=21-4

=17

Hence, the value of function is 17.

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Suppose you start an annuity where you invest $2,000 at the beginning of each year and 4% interest is paid at the end of the year. What is the value of the annuity at the end of 5 years, rounded to the nearest dollar? It is $

Answers

I believe $80 dollars would be 4% of 2,000

The value of the annuity at the end of 5 years, rounded to the nearest dollar is $10,833.

What is the value of the annuity at the end of 5 years?

The formula that can be used to determine the future value of the annual annuity is:

Yearly deposity x annuity factor

Annuity factor = {[(1+r)^n] - 1} / r

Where:

r = interest rate n = number of years

2000 x {[(1.04^5) - 1] / 0.04} = $10,832.65

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DESPERATE GEOMETRY HELP!!!

Answers

Answer:

b. 3

Step-by-step explanation:

pi * r^2 * h = 162 pi

plug in 18 ft for h

pi * r^2 * (18) = 162 pi

simplifies to r^2 = 9

r=3

factor the polynomial 8x-2

Answers

Answer:

[tex]2(4x-1)[/tex]

Step-by-step explanation:

you divide by 2 and simplify. idk how else to explain it....

Answer:

2(4x-1)

Step-by-step explanation:

Factor out a 2

The art club had an election to select a president. 75% of the 68 members of the club voted in the election. How many members voted?

Answers

Answer:

51 members voted of the 68 members

please help immediately very confused

Answers

Answer:

4.5

Step-by-step explanation:

162/360=0.45

0.45*10=4.5

Answer:

4.5units

Step-by-step explanation:

arc length's formula:2πr(∆/360)

remember, 2πr: circumference of a circle:

10units according to diagram.

∆=162°

using formula, 10(162°/360)

10*162/360 : 162/36

:4.5 units.

I will mark brainliest if you are correct!
When solving the equation, which is the best first step to begin to simplify the equation?
-2 (x + 3) = -10

A. (-2) (-2) (x + 3) = -10 (-2)
B. -1/2 (-2) (x + 3) = -10 (-1/2)
C. -2/2 (x + 3) = -10/2
-2/-10 (x + 3) = -10/-10

Answers

Answer:

i think the answer is C

Step-by-step explanation:

Answer:

Look below.

Step-by-step explanation:

Uh here's what I did:

-2x-6= -10

Add 6 to both sides.

-2x=-4

Divide both sides by -2

x=2

Which expression represents the volume of a rectangular prism that is not occupied by the cylinder.

Answers

Answer:

The volume of the prism not occupied by the cylinder is (150 - 25*pi)*h.

Step-by-step explanation:

In order to calculate the volume of the rectangular prism that is not occupied by the cylinder we need to calculate the total volume of the rectangular prism and subtract it by the volume of the cylinder. We have:

Rectangular prism:

Volume prism = length*height*width

Volume prism = 15*h*10 = 150*h

Cylinder:

Volume cylinder = pi*r²*h = pi*5²*h = 25*pi*h

The volume of the prism that is not occupied by the cylinder is:

volume not occupied = volume prism - volume cylinder

volume not occupied = 150*h - 25*pi*h = (150 - 25*pi)*h

The volume of the prism not occupied by the cylinder is (150 - 25*pi)*h.

helppppppppppppp please

Answers

Answer:

with?

Step-by-step explanation:

Pleaaase help me out here im being timed!!

Really appreciate it if u did thank u.

Answers

The answer is 180. Or C.A triangle’s full angle is 180 so the answer is 180

PLEASE HELP ASAP 10 POINTS AND ITS MULTIPLE CHOICE

Which equation represents the line that is parallel to the following?
Y=-3x-4

A. Y=3x+4
B. Y=3x+1
C. Y=-1/3x-4/3
D. Y=1/3x-4

Answers

Answer:

A. Y=3x+4

Step-by-step explanation:

8+16÷4·3+5·4·25·2 =

solve the equation

Answers

Answer:

1020

Step-by-step explanation:

8+16÷4·3+5·4·25·2

PEMDAS

Multiply and divide from left to right

8+4·3+5·4·25·2

8+12+5·4·25·2

8+12+1000

Then add

1020

Which relation is a function? A. (1, 0), (3, 0), (1, 1), (3, 1) (1, 3) B. (1, 1), (2, 2), (3, 3), (4, 4), (5, 8) C. (2, 7), (6, 5), (4, 4), (3, 3), (2, 1) D. (9, −3), (9, 3), (4, −2), (4, 2), (0, 0)

Answers

Answer:

b is the answer

Step-by-step explanation:

i checked if inputs repeated in all the string of answers

Answer:

b

Step-by-step explanation:

Describe two methods that can be used to find the area of the composite figure.

Answers

Answer: A composite figure is made up of several simple geometric figures such as triangles, rectangles, squares, circles, and semicircles. To find the area of a composite figure, separate the figure into simpler shapes whose area can be found. Then add the areas together.

Area of the composite figure can be find by using additive areas method and subtractive areas method

What is Composite figure?

Composite geometric figures are made from two or more geometric figures. The composite figure below is made from parts of a rectangle and a circle

What is Area ?

Area is the quantity that expresses the extent of a region on the plane or on a curved surface.

Area of the composite figure can be find by using two methods,

Additive areas method and Subtractive areas method

In Addictive areas method

Break the composite shape into basic shapesFind the area of the each basic shapesAdd all the areas of basic shapes together

In Subtractive areas method

Break the composite shape into basic shapes. That shape maybe larger than the composite shapes.Find the area of the each basic shapesArea of the composite shape will be the difference between the area of the larger shape.

Hence, the area of  the composite figure can be find by using additive areas method and subtractive areas method

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What is the square root of 91

Answers

Answer:

9.53939201417

Step-by-step explanation:

sqrt(91)=

9.53939201417

Answer:

9.53939201

Step-by-step explanation:

This can simply be done in a calculator but what you are basically doing is thinking about the reverse of a exponent. For instance, √25 is 5 because 5² is 25. Hope this helps! If you are still confused please comment!

Given a school supply store sells pencils for $2, pens for $4, and markers for $5. Write an expression for the total cost of 3 pencils, 2 pens, and 3 markers

Answers

Answer: 29

Step-by-step explanation:

3x2= 6

4x2=8

3x5=15

6+8+15= 29

hoped I helped you a bit! Good luck! :)

1. Si tengo el siguiente ejercicio x = 8+9*4+(32*2+5*4)+3*6 aplicando la jerarquía de operaciones, el resultado sería? a. 25 b. 45 c. 78 d. Ninguna de las anteriores

Answers

Answer:

Option D is correct.

The answer is none of the above.

x = 146

La opción D es correcta.

La respuesta es ninguna de las anteriores.

x = 146

Step-by-step explanation:

English Translation

If I have the following exercise x = 8 + 9 * 4 + (32 * 2 + 5 * 4) + 3 * 6 applying the hierarchy of operations, the result would be?

a. 25

b. 45

c. 78

d. None of the above

Solution

The hierarchy of operations includes BODMAS.

B - Brackets

O - Order

D - Division

M - Multiplication

A - Addition

S - Subtraction

x = 8 + 9 * 4 + (32 * 2 + 5 * 4) + 3 * 6

Solving the bracket first.

The multiplication in the bracket are first simplified to give

x = 8 + 9 * 4 + (64 + 20) + 3 * 6

Then further simplifying the bracket

x = 8 + 9 * 4 + (84) + 3 * 6

We then solve the multiplication outside the brackets

x = 8 + 36 + 84 + 18

We now sum all of this

x = 146

In Spanish/En Español

La jerarquía de operaciones incluye BODMAS.

B - Soportes

O - Orden

D - División

M - Multiplicación

A - Suma

S - Resta

x = 8 + 9 * 4 + (32 * 2 + 5 * 4) + 3 * 6

Resolver el soporte primero.

La multiplicación en el paréntesis se simplifica primero para dar

x = 8 + 9 * 4 + (64 + 20) + 3 * 6

Luego simplificando aún más el soporte

x = 8 + 9 * 4 + (84) + 3 * 6

Luego resolvemos la multiplicación fuera de los corchetes

x = 8 + 36 + 84 + 18

Ahora sumamos todo esto

x = 146

Hope this Helps!!!

¡¡¡Espero que esto ayude!!!

Evaluate 9 − b 9−b9, minus, b when b = 8b=8b, equals, 8.

Answers

Answer:

the way you wrote the question is confusing. Please right it in better wording or with line breaks

Step-by-step explanation:

Describe in your own words what a hyperbola is.

Answers

Answer:

A conic section that can be thought of as an inside-out ellipse

Step-by-step explanation:

Hyperbola is a two-branched open curve-conic section.

What is a hyperbola?

Hyperbola is the locus of all those points in a plane such that the difference in their distances from two fixed points in the plane is a constant.

For the given situation,

We need to describe about a hyperbola.

A hyperbola is two curves that are like infinite bows. It is a two-branched open curve, a  conic section produced by the intersection of a circular cone and a plane that cuts both nappes of the cone.

The standard equation of hyperbola is

                     [tex][\frac{x^{2} }{a^{2} }-\frac{y^{2} }{b^{2} }]=1[/tex]

where,[tex]b^2 = a^2 (e^2 -1)[/tex]

a,b are the points on the plane and e is the eccentricity.

Hence we can conclude that hyperbola is a two-branched open curve-conic section.

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Write nine minus the quotient of two and a number x as a expression variable

Answers

Answer:

9-(2/x)

Step-by-step explanation:

A bag contains 4 red, 2 blue, 6 green, and 8 white marbels. Round anwsers to the nearest tenth. What is the probibility of selecting a green marble, replacing it, and then selecting a red marble.

Answers

Answer:

[tex]\frac{3}{50}[/tex] chance.

Step-by-step explanation:

Probability of getting a green: [tex]\frac{6}{4+2+6+8}[/tex] = [tex]\frac{6}{20} = \frac{3}{10}[/tex]

Probability of getting red: [tex]\frac{4}{4+2+6+8} = \frac{4}{20} = \frac{1}{5}[/tex]

[tex]\frac{1}{5} * \frac{3}{10} = \frac{3}{50}[/tex]

There is a [tex]\frac{3}{50}[/tex] chance of getting a green then red marble with replacement.

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