Round 3.44570830811 to the nearest hundred-thousandth

Answer:

Explanation:

An exponential decay function is generally given in the below;

where a = initial amount

r = percentage rate of decrease in decimal

t = number of years

Given the initial value of the book(a) as $57 and the percent decrease(r) as 12% which as a decimal is 0.12 (12/100), let's go ahead and substitute these values into the above formula and we'll have;

When t = 8, let's go ahead and solve for y;

Answer:

[tex]a_{n}[/tex] = 2n - 6

Step-by-step explanation:

there is a common difference between consecutive terms , that is

- 2 - (- 4) = 0 - (- 2) = 2 - 0 = 2

this indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = - 4 and d = 2 , then

[tex]a_{n}[/tex] = - 4 + 2(n - 1) = - 4 + 2n - 2 = 2n - 6

the rule is then 2n - 6

The events are independent because there is no evidence of dependece between the events, the box can contain one or two prices or be any size.

Answer:

$6825.

Step-by-step explanation:

Price in the sale

= 7800 - 12.5% of 7800

= 7800 - 1/8 * 7800

= 7800 - 975

= $6825.

Answer:

1 hour and 40 minutes

Step-by-step explanation:

60 minutes in an hour

we have 100 minutes

100 - 60 = 40

in 100 minutes we already have 1 hour

now we have 40 minutes left

can 40 minutes make another 60?

No.

so 100 minutes make

Answer:

Step-by-step explanation:

SOLUTION:

Step 1:

In this question, we are given the following:

Step 2:

From the question,

We have that:

The values of each composite function are:

a) -1

b) -1

c) 2

d) 0

e) 2

f) -4

We have,

These are composite functions.

It is written as:

(f o g) (x) = f (g(x))

Now,

From the table, the values for each function f and g at specific values x are taken.

a.

(f o g)(1)

f(g(1)) = f(0) = -1

b.

(f o g) (-1)

f(g(-1)) = f(0) = -1

c.

(g o f) (-1)

g(f(-1)) = g(-2) = 2

d.

(g o f) (0)

g(f(0)) = g(-1) = 0

e.

(g o g) (-2)

g(g(-2)) = g(2) = 2

f.

(f o f) (-1)

f(f(-1)) = f(-2) = -4

Thus,

The values of each composite function are:

-1, -1, 2, 0, 2, and -4.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ6

Answer:

no

Step-by-step explanation:

- 3.5 is a negative number.

17/15 is a positive number.

Note : -

Always positive numbers are greater than negative numbers.

Answer: man

why bro

Step-by-step explanation:

The equation of his allowance in slope-intercept form is y = 0.5x + 8

He received $18 in allowance the week he did 20 chores.

He received $12 in allowance the week he did 8 chores.

The ordered pairs will be (8,12) and (20,18)

The slope intercept form is

y = mx + b

Where m is the slope

b is the y intercept

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute the values in the equation

m = (18-12)/(20-8)

m = 6/12

= $0.5 per chores

Now we have to find b,

Substitute the value of any ordered pair in the slope intercept form

12 = 0.5×8+b

12 = 4+b

b = 12-4

b = 8

Hence, the equation of his allowance in slope-intercept form is y = 0.5x + 8

Learn more about slope intercept form here

brainly.com/question/9682526

#SPJ1

Answer: The moon

Step-by-step explanation:

The cone is the solid form that represents "If you cut me in half, my end face will remain the same. Two of my faces are the same, one is curved."

The volume of a cone is defined as the amount of space occupied by a cone in a three-dimensional plane.

∵ The volume of the cone (V )= 1/3πhr²

The number of faces of a regular cone is one, which we may partition vertically into two halves.

This means one base face and lateral face

Now, the number of faces in one half equals the number of faces in the original form.

This meets the conditions outlined in the question.

So, the cone is a solid form.

Thus, the cone is the solid form that represents "If you cut me in half, my end face will remain the same. Two of my faces are the same, one is curved."

Learn more about the volume of the cone here:

brainly.com/question/1578538

#SPJ2

(a) The 1st term of the arithmetic progression is 9

(b) The common difference of the arithmetic progression is -4

(c) The 15th term of the arithmetic progression is -47

The nth term of an arithmetic progression is given by

aₙ = a + (n - 1)d

Where a is the first term

and d is the common difference

From the given information,

a₁₁ = -31

and

a₂₁ = -71

But

a₁₁ = a + 10d

and

a₂₁ = a + 20d

Thus,

a + 10d = -31          ------------ (1)

a + 20d = -71         ------------ (2)

Subtract equation (1) from equation (2)

a + 20d = -71

a + 10d = -31

---------------------------

10d = -40

d = -40/10

d = -4

Substitute the value of d into equation (1)

a + 10d = -31

a + 10(-4) = -31

a - 40 = -31

a = -31 + 40

a = 9

Also,

a₁₅ = a + 14d

Substitute the values of a and d

a₁₅ = 9 + 14(-4)

a₁₅ = 9 - 56

a₁₅ = -47

Hence, the first term is 9, the common difference is -4 and the 15th term is -47

Learn more on Arithmetic progression here: https://brainly.com/question/24989563

#SPJ1

The equations that are equivalent to the expression are 15b = 25.6 - 4.6

and 15b =21

A two-variable linear equation can be thought of as a linear relationship between x and y, or two variables whose values rely on each other (often y and x) (usually x).

Y is referred to as the dependent variable in this scenario since it depends on the independent variable, x.

Given the linear equation below;

0.6+15b+4=25.6

Simplify to have;

0.6+15b+4=25.6

15b + 4.6 = 25.6

15b = 25.6 - 4.6

15b =21

Divide both sides by 15

b = 21/15

b = 1.4

This gives the solution to the given linear equation

Learn more on linear equation here: https://brainly.com/question/14323743

#SPJ1

The values of the vectors of AB = b - a , MN = 29a - b/2 and MP = b/2 + (k + 1)( b - a)

A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.

We have been given that OB = b and OA = a

From ΔAOB we have;

OB + BA + AO = 0

b + (- AB ) -a = 0

AB = b - a

Now from ΔMNO we have;

MN + NO + OM = 0

MN + ( -ON) + OB/ 2 = 0

MN - (OA + AN ) + b/2 = 0

MN - ( a + 30a) + b/2 = 0

MN = 29a - b/2

Now from ΔMBP , we have;

MB + BP + PM = 0

OB/2 + (BA - PA) + PM = 0

b/2 + ( - AP/k + AP) + PM = 0

b/2 + ( -kAB /k + kAB) + PM = 0

b/2 + ( k AB + AB ) + PM ) = 0

PM = -b/2 - (k + 1) (b - a)

MP = b/2 + ( k+1) (b - a)

To know more about the triangle refer to the link given below:

brainly.com/question/1058720

#SPJ1

Answer:

[tex] {4}^{3} {y}^{2} \\ {7}^{3} \\ {3}^{3} {x}^{3} [/tex]

ANSWER

x = 4; 5x + 1 = 21

EXPLANATION

First, we have to find the value of x using the given equation,

To do so, divide both sides by 2,

Now, with x = 4, replace it into the expression given to find its value,

Hence, the value of the expression is 21.

The next two terms of the given given sequence are 9, 1 if the first three terms of arithmetic sequence are 33, 25, 17.

An arithmetic sequence has a constant difference (d) and is defined by

a(n) = a(1) + (n-1)d          ----------- (1)

Here a(1) = 33, a(2) = 25, a(3) = 17

d = a(2) - a(1)

d = 25 - 33 = -8

Substitute the values in (1)

a(n) = 33 + (n-1)(-8)

a(n) = 33 - 8n + 8

a(n) = -8n + 41              ------------- (2)

We have to find a(4) and a(5)

Substitute n = 4 in (2), we get

a(4) = -8(4) + 41 = -32 + 41 = 9

Substitute n = 5 in (2), we get

a(5) = -8(5) + 41 = -40 + 41 = 1

Hence the next two terms are 9, 1.

To learn more about Arithmetic sequence here

https://brainly.com/question/10396151

#SPJ1

Answer: the answer is B

Answer: No the input 3 has two out puts

Step-by-step explanation:

Use ur eyes

The equations with a solution of 8 are:

x+2=10, x -4 = 4, 3x = 24, and x/8 =1

This is further explained below.

An equation is a formula that, in mathematics, expresses the equivalence of two expressions by linking them with the equals symbol =. In other words, an equation is a mathematical expression.

An equation is a mathematical statement that demonstrates that two mathematical expressions have the same value. This is the most basic version of the definition of an equation in algebra.

For example, the phrase "3x + 5" = 14 is an equation, in which the two expressions "3x + 5" and "14" are separated by the symbol for "equal."

Now we consider all equations given

1)

x+6 = 2

x = 2-6

x = -4

2)

Considering question 2 equation to see if it equals 8

x+2=10

x = 10-2

x = 8

3)

Considering question 3 equation to see if it equals 8

x -4 = 4

x = 4+4

x = 8

4)

Considering question 4 equation to see if it equals 8

x-2=10

x = 10+2

x = 12

5)

Considering question 5 equation to see if it equals 8

2x = 4

x = 2

6)

Considering question 6 equation to see if it equals 8

3x = 24

x = 8

7)

Considering question 7 equation to see if it equals 8

x/2 = 16

x = 32

8)

Considering question 8 equation to see if it equals 8

x/8 =1

x = 8

In conclusion, only equations:

x+2=10, x -4 = 4, 3x = 24, and x/8 =1 have the solution of 8

Read more about equations

https://brainly.com/question/10413253

#SPJ1

None of the available possibilities is an equivalent expression.

Supplemental methods add up to 180 degrees, just like all other options.

    If two expressions function the same way while having different looks, they are said to be comparable. Two identical algebraic expressions have the same value when the same value(s) for the variable are entered (s).

  No one in the available possibilities satisfies the requirement of a comparable expression.

2x - 15 + 3x + 15 = 180

2x - 10 + 3x = 180

5x - 10  = 180

5x - 10 + 10 = 180 +10

add the numbers

5x = 190

5x /5 = 190 5

x = 38

As a result, none of the possibilities shown are identical expressions.

To Learn more About equivalent expression, Refer:

https://brainly.com/question/15775046

#SPJ13

Answer's

Step-by-step explant

Given: The trigonometry shown in the image

To Determine: The exact values of the six trogonometric functions of each angle shown

Solution

It can be observed that

Therefore

The coordinates of the image of triangle ABC would be A (-1, -1), B (3, 2), and C (4, -6)  after translation, and if the original coordinates are A(-3,2) B(1,5) C(2,-3).

A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.

Let assume A(-3,2) B(1,5) and C (2,-3) are original coordinates

The following translation is being used: (x, y) ⇒ (x + 2, y - 3)

First, take your x-coordinates and add them by two because it is the translation utilized to solve for your x-coordinate.

You would receive the following for yours x's: A (-1, y ) B (3, y) C (4, y)

Next, remove three from each of your y-coordinates because it is the translation being utilized to solve for your y-coordinate.

You would receive the following for your y's: A (x, -1) B (x, 2) C (x, -6)

Finally, you would take each one and put it together, or piece it together.

Hence, the coordinates of the image of triangle ABC after translation would be A (-1, -1), B (3, 2), and C (4, -6).

To learn more about the transformations click here :

https://brainly.com/question/28029674

#SPJ1

The polar form of the rectangular form - 9 - i 9√3 is 18 · [cos (4π / 3) + i sin (4π / 3)]. (Correct choice: A)

Herein we find a complex number in rectangular form, that is, a complex number of the form a + i b, whose polar form has to be found. Complex numbers in polar form are defined by the following expression:

z = r · (cos θ + i sin θ)

r = √(a² + b²)

θ = tan⁻¹ (b / a)

Where:

If we know that a = - 9 and b = - 9√3, then the complex number in polar form is:

r = √[(- 9)² + (- 9√3)²]

r = 18

θ = tan⁻¹ √3

θ = 4π / 3

The polar form is 18 · [cos (4π / 3) + i sin (4π / 3)].

To learn more on complex numbers: https://brainly.com/question/20566728

#SPJ1

The probability that it rained at that game is 0.49.

Probability is the the ratio of a particular event with total number of event. It tells the possibility that an event can occur.

Probability that it rains P(R) = 0.60

probability that it won't rain P(R') = 1-0.60

= 0.4

Red sparrows have a past record of 4 wins and 5 loses when it does not rain, that is

P( winning/R') = 4/9                 (win% = 4/total that is 5+4 which is 9)

P( lose/R') = 5/9                       (lose % = 5/total)

When it rain the past record is 2 wins and 7 loses

P( win/R ) = 2/9

P( lose/R ) = 7/9

P (win) = P(R)*P(win/R) + P(R')*P(win/R')

= 4/9*0.4 + 2/9*0.6

If red sparrows win, then the probability that it rained at game

P (R/win) = P ( R η win) / P (win)

= 0.49

Therefore, we can conclude that the the probability that it rained at that game is 0.49.

To learn more about probability

visit: brainly.com/question/11234923

#SPJ4

Answer:

A

Step-by-step explanation:

once tearra started buying games her money decreased by $35.50

Answer:8% started saving at or before 21

30% believe their children or grandchildren should start saving at or before 21

Step-by-step explanation: on the graph, the ones in lighter color start saving for requirements

That is 3%+5%=8%

The second solution goes thus

13%+17%= 30%

the ones in dark colors believe their children or grandchildren should start saving before 21