BATTERY LIFE The battery life of a certain cell phone starts at 8 hours. The battery life decreases at an annual rate of 30%.

a. Write a function that represents the battery life y after x years.

Answers

Answer 1

Answer:

[tex]y=8(0.7)^x[/tex]

Step-by-step explanation:

Next, the battery life decreases by 30% per year. You didn't state if this is linear or exponential, so I'll assume exponential because linear doesn't make much sense in this case..

For an exponential function, the battery life will be decreasing by 30% over the previous year, not over the original. Decreasing by 30% is multiplying by 70%, or just 0.7.

Exponential form:

[tex]y=a(b)^x[/tex]

where a is the original value and b is the percent change.

In your question:

[tex]y=8(0.7)^x[/tex]

Answer 2

The function that represents the battery life y after x years is y = 8(0.7)ˣ.

What does exponential function ?

A quantity grows (or depreciates) exponentially if the increase (or decrease) in the amount is a multiple of the previous amount.

Now it is given that,

Battery life starts = 8 hours

Annual decrease rate = 30% = 0.30

So, battery life after an year = 100% - 30% = 70% = 0.7

Now if battery life y after x years

Annual decrease rate after x years = (0.7)ˣ

Thus battery life, y = 8(0.7)ˣ

Thus, the function that represents the battery life y after x years is y = 8(0.7)ˣ.

Learn more about exponential functions at

brainly.com/question/11464095

#SPJ2


Related Questions

Round 0.008547 to the nearest thousandth :]

Answers

Answer:

0.855

Step-by-step explanation:

Brainliest Please!

Answer:

Step-by-step explanation:

The first zero in the tenth region

The second zero is in the hundreds region

The 8 is in the 1/1000 so look to the next digit.

It is a 5

So round 1 digit in the thousands higher.

Answer: 0.009

If ∠ABC and ∠DBF are vertical angles we can conclude...

Answers

Answer:

We can conclude they are congruent

Step-by-step explanation:

Because of the vertical angles theorem


How many times larger is 4 × 1011 than 2 × 106?

Answers

4*1011 is 19.07547 times larger than 2*106

Step by step Explanation:
1. 4*1011=4044
2. 2*106=212
3. 4044/212= 19.07547
4. you now have your answer.


Key:

/ means division
* means multiplication

I hope that helps

Brainliest?

If sin(0) > 0, then in which quadrants could 0 lie? Select all correct answers.

Select all that apply:

Quadrant I

Quadrant II

Quadrant III

Quadrant IV

Answers

Answer:

I and IV

Step-by-step explanation:

based on the unity circle 0 and 360 is on the same plane..hope it's answerd

Determine whether the following ratios are equivalent. (9:12 and 24:18)

Answers

0111100109090909099999999999999999

I don’t get it and I’m struggling to answer it.

Answers

If the path is 2 feet wide, you actually have 14 feet of length and 6 of width.

Multiply that together and he has 84 ft left

Select the two values of x that are roots of this equation.
x² + 2x - 4 = 0
O A. x= -1 - 15
B. x= -1+5
C. X=-1-215
D. x = -1+2-15

Answers

Answer:B and c

Step-by-step explanation:

..................................

Answers

….there’s nothing here?…

Which of the following is a correct equation for the line passing through the
point (-1,4) and having slope m= -3?
Check all that apply.
V=-
O A.
-*-3
B. 3x+y=1
O c. y= - 3x + 1
D. 7–4= – 3(x+1)
SUBMIT

Answers

Answer:

C

Step-by-step explanation:

m = -3

y = mx +b

y = -3x + b

Plugin x = -1 and y = 4

4 = -3*(-1) +b

4 = 3 + b

4-3 = b

b = 1

y = -3x + 1

Answer:

B, C, D

Step-by-step explanation:

The equation of a line in point slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - 3 and (a, b ) = (- 1, 4 ) , then

y - 4 = - 3(x - (- 1) ) , that is

y - 4 = - 3(x + 1) → D

Distribute parenthesis

y - 4 = - 3x - 3 ( add 4 to both sides )

y = - 3x + 1 → C

Add 3x to both sides

3x + y = 1 → B

PLEASE HELP ME OUT! Thank you!

Complete the two-column proof using the answers in the bank.
Given: Point B is the midpoint of DC and EA Prove: ∆BDE ≅∆BCA

Answer Bank:
Definition of a midpoint
EB ≅ AB
Given
Point B is the midpoint of DC and EA
Side-Angle-Side (SAS)
Vertical Angle Theorem

FILL THE BLANKS

Statement Reason
1.__________ 1. Given
2. DB ≅ CB 2._________
3.________ 3. Definition of a midpoint
4. ∠EBD ≅ ∠ABC 4.__________
5. ∆BDE ≅∆BCA 5._________

Answers

Answer:

Step-by-step explanation:

1. B is midpoint of DC and EA              1. Given

2. DB ≅ CB                                            2. Definition of midpoint

3. EB ≅ BA                                              3. Definition of midpoint

4. ∠EBD ≅ ∠ABC                                  4. Vertically opposite angles

5. ΔBDE ≅ ΔBCA                                  5. S A S congruent

Use the following function rule to find f(0).

f(x) = 5^x− 4

f(0) =

Answers

Helloo
So you just substitute 0 into the equation
f(0)= 5^0-4
=1-4
=-3

Hope I helped!

Answer:

-3

Step-by-step explanation:

Using the remainder and the factor theorem

5⁰-4

1-4

-3

I need help :) pls help me:)

Answers

Answer:

A plot is a graphical technique for representing a data set, usually as a graph showing the relationship between two or more variables. The plot can be drawn by hand or by a computer. In the past, sometimes mechanical or electronic plotters were used.

Step-by-step explanation:

not the answer for that but ig this can help u mwa

Answer:

12.15-13.00 is 15 mins

13.00-13.30 is 30 mins

Answer-45 mins

I just need help with these 3

Answers

Answer:

1) 11c

2) 9m - 14

3) 4x - 5

-----

4) x = 4

5) x = 2

Step-by-step explanation:

1)

10c + c

11c

2)

5m + 2( 2m - 7 )

5m + 4m - 14

9m - 14

3)

6x - ( 2x + 5 )

6x - 2x - 5

4x - 5

-----

4)

3x + 7 = -5

3x = 12

x = 4

5)

18 = 4x + 10

8 = 4x

2 = x

Hopefully this helps!

Brainliest please?

Answer:

Step-by-step explanation:

Please help me. What is 5 3/4 - 2 11/12? I'm almost done for the year

Answers

Answer:

2.83

Step-by-step explanation:

Somebody plz help ????? I need the answer to this

Answers

Answer:

I was thinking it should be -1,2 but that'd not an awnser so B

PLEASE HELP ME!!
Find the domain, in interval notation too.

Answers

I sadly do not have an answer to this problem but,  have a great explanation for a similar problem. (I really am sorry that I don't have the answer, in a bit of a time constraint)

Step-by-step explanation:

Example (graph found below):

The domain of a function f(x) is the set of values of x for which f(x) has a defined value.



In the graph we can see that we have two asymptotes: one vertical and one slant asymptote.



The slant asymptote does not affect the domain,  but the vertical asymptote at x = 0 implies that f(x) does not have a defined value at x = 0.

Then, x = 0 is not part of the domain of f(x). All the real numbers different from 0 are part of the domain.



Then, we can write the domain as x ≠ 0 or, in interval notation, as (-∞,0) ∪ (0,∞).



Answer: the domain is all the real numbers different from 0.



NOTE:

If we want to know the range of the function, we have to look at the values that f(x) can take for the domain for which it is defined.

In this case, we can see that there is no limitation for the values f(x) can take: f(x) can take all real numbers, so the range is all real numbers.

Answer:

[tex]D = (-\infty, -1) \ \cup \ (-1, 2) \ \cup \ (2, \infty)[/tex]

Step-by-step explanation:

This function is rational function that's meaning that is of the form:

[tex]\frac{1}{x}[/tex]

So you have to take care when [tex]x[/tex] is equal to 0 because the function is undefine in that number (is represented with an asymptote and means that go to positive or negative infinity).

In the given graph there are 2 asymptotes in -1 and 2 so you have to avoid this two points in the notations by intervals. You can achieve this using the parenthesis indicating that you don't take the value in account.

6 * 2 /( -1)4* 5-(8+3)

Answers

Answer:

−251

Step-by-step explanation:

Answer:

6 x 2 / (-1) x 5 - (8 + 3)

6 x 2 / (-1) x 5 - 11

12 / -1 x 5 - 11

-12 x 5 -11

-60 - 11

-71

Step-by-step explanation:

hope this helped if not then i am sorry good luck

What is the slope of the line represented by the equation y = fx-3?
Х
5
-3
o
4
5
|s
4
5
O 3
Please helpppp!!!!

Answers

Answer:

it 3.5-9

Step-by-step explanation:

Identify the errors in the image.
Mosquito Life Cycle
2021 Edmentum. All rights reserved. growth and development of organisms master test!!


A. the egg stage is missing


B. the mosquito transforms into a butterfly

C. the pupal stage should come after the larval stage

D. there is no metamorphosis

Answers

Answer:

B. the mosquito transforms into a butterfly

Step-by-step explanation:

Since mosquitos and butterflies are entirely different insects, one cannot transform into the other. Mosquitos never take on a butterfly's coloring, habits, or even purpose during their lifetime.

I hope this was incredibly helpful! Tell me if you need any further assistance...

( :

Time(h)
Distance (mi)
12 3 4 5
14 26 38 50 62
The table shows Eli's distance from home as he
rides his bike at a steady rate after meeting a
friend. Write an equation in slope-intercept form
that represents the miles, y, that Eli goes in x hours.
y = 12x + 2
y = 2x + 2
y = 12x + 12
y = 2x + 12

Answers

Answer:

y = 12x + 2

Step-by-step explanation:

To know:

     [] These equations are in y = mx + b form

           () Also known as slope-intercept form

           () m is the slope

           () b is the y-intercept

Now, let's solve

     [] Slope / m

           () Slope is "change in y over change in x," let hours be our x and distance by our y

           () [tex]\frac{62 - 14}{5 - 1}=\frac{48}{4}=12[/tex]

     [] Y-intercept / b

           () We will plug in a set of points into our current equation, then solve for b

           () y = mx + b -> y = 12x + b -> 14 = 12(1) + b -> 14 = 12 + b -> 2 = b

Last, we will find our answer

Our b is 2, and our m is 12. This leaves us with option 1, y = 12x + 2

Have a nice day! - table I made is attached

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Mrs. Coulter has 3 / 5 yard of ribbon to tie on balloons for the festival. Each balloon will need 3 / 10 yard of ribbon. How many balloons can Mrs. Coulter tie with ribbon

Answers

Answer:

I know they are not the same name but they have the same question they are the same answer

Step-by-step explanation:

#hope it helps you #happy learning

use the table to work out the values of a, b, c and d
PLEASE HELP!!!

Answers

Answer:

a = 10, b = 5, c = 14, d = 25

Step-by-step explanation:

Plug in -2 for x ....

y = 2(-2)^2 + -2 + 4

y = 2(4) + 2

y = 10

Plug in -1 for x ....

y = 2(-1)^2 + -1 + 4

y = 2(1) + 3

y = 5

Plug in 2 for x ....

y = 2(2)^2 + 2 + 4

y = 2(4) + 6

y = 8 + 6

y = 14

Plug in 3 for x ....

y = 2(3)^2 + 3 + 4

y = 2(9) + 7

y = 18 + 7

y = 25

Use mental math to find the missing number. Enter your answer in the box.42,000 ÷ = 600

Answers

Answer:

7 is the required answer.

Step-by-step explanation:

4200 ÷ 7 = 600

PLEASE HELP!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

I think it's c

Step-by-step explanation:

because that looks like a good answer.

Evaluate.

−[−1 2/5÷0.7(1.8)]−2/3

What is the value of the expression?

Enter your answer as a simplified mixed number in the box.

Answers

Answer: the answer is 2 14/15

Step-by-step explanation:

The solution of the expressions will be 0.44.

What is Number system?

A system of writing to express the number is called number system.

Given that;

The expressions are,

⇒ −[−1 2/5 ÷ 0.7 (1.8) ] − 2/3

Now,

Solve the expression as;

⇒ −[−1 2/5 ÷ 0.7 (1.8) ] − 2/3

Using the BODMAS rule to solve the expressions as;

⇒ −[−1 2/5 ÷ 0.7 (1.8) ] − 2/3

⇒ −[−1 2/5 ÷ 1.26 ] − 2/3

⇒ - [ - 7 / 5 ÷ 1.26 ] − 2/3

⇒ - [ - 7 / 5 x 1 / 1.26 ] - 2 / 3

⇒ - [ - 7 / 6.3 ] - 2/3

⇒ 1.1 - 2/3

⇒ 1.1 - 0.66

⇒ 0.44

Therefore,

The solution of the expressions will be 0.44.

Learn more about the mathematical expression visit:

https://brainly.com/question/2164351

#SPJ5

the ratio of adult to children in the spot club is 5:3 There are 120 people in the club. how many children are there​

Answers

Answer:

5:3=8

3/8 x 120

3/1 x 15

3 x 15=45

Step-by-step explanation:

hope this helps

sorry

You start by making an equation:

3x+5x=120

Then combine like terms

8x=120

Divide 8 by both sides

x=15

Now that we have that we can figure out how many children and adults there are

Children: 3x15=45 children
Adults: 5x15=75 adults

Also, you can type this in your calculator for a faster method

Children : 120 x(3/8) =45
because eight is the sum of the ratio 5+3

And Adults : 120 x(5/8)=75

So the answer to your question is 45 children.

Hope this helps!!!

Sorry for the spam, I really need help.

Answers

Answer:

x=8

y=18

Step-by-step explanation:

[tex](3x+13)+(7x-3)=90[/tex]

[tex]10x+10=90[/tex]

[tex]10x=90-10[/tex]

[tex]x=\frac{80}{10} =8[/tex]

[tex]3x+13=3(8)+13=24+13=37[/tex]

[tex]5y=180-37-53=90[/tex]

[tex]y=\frac{90}{5} =18[/tex]

I hope this help you

The product of two consecutive positive odd numbers is 195.By constructing a quadratic equation and solving it, find the two numbers
Please help

Answers

Step-by-step explanation:

x = one odd number

the second odd number is (x+2), as both are consecutive.

so,

x × (x + 2) = 195

x² + 2x = 195

x² + 2x - 195 = 0

the formula to solve this is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = 2

c = -195

x = (-2 ± sqrt(4 - 4×1×-195))/(2×1) =

= (-2 ± sqrt(4 + 4×195))/2 = (-2 ± sqrt(784))/2 =

= (-2 ± 28)/2 = -1 ± 14

x1 = -1 + 14 = 13

x2 = -1 - 14 = -15 which is invalid as the numbers are positive.

so, the two numbers are 13 and 15.

Which of the following statements justifies why the triangle shown below is not a right triangle?
Z
O A. 42 +122132
OB. YZ + XZ > XY
OC. XZ O D. YZ SUBMIT
please help

Answers

None of the options are correct. And the given triangle is a right-angle triangle.

Given that,
Which of the following statements justifies why the triangle shown below is not a right triangle is to be determined.

What is the triangle?

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°

Here,
A triangle that follows the Pythagoras theorem, are right an angles triangle,
For the given triangle,?
13² = 4² + 12²
169 = 25 + 144
169 = 169
So, the given triangle holds the property of Pythagoras' theorem,

Thus, None of the options are correct. And the given triangle is a right-angle triangle.

Learn more about triangles here:
https://brainly.com/question/2773823

#SPJ2

Will give brainliet no file plz

Answers

Answer:

it would be C

Step-by-step explanation:

Other Questions
What does alkaline mean?A. pH is higher than 7.B. pH is lower than 7.C. Negative ions.D. Non-reactive with other chemicals. what was the first card game introduced for windows in the early 1990s? HELP WITH VENN DIAGRAMS PLEASE ILL GIVE BRAINLIEST The following question is based on your reading of A Portrait of the Artist as a Young Man by James Joyce. Which of Stephens friends at the university is staunchly patriotic? a. Temple c. Cranly b. Davin d. Lynch Please select the best answer from the choices provided A B C D The reason most people refer to "filming" a video on a cell phone camera is that:A) a smartphone creates film.B) the video requires a filter.C) the word is a holdover from when films were made.D) the video will be converted to a film later. The degree measure of each exterior angle of a regular octagon is represented by the expression 7x - 4. SOLVE FOR X. Explain the effect that temperature has on enzyme activity Punching into the walls. His right hand was broken. (Punching)a)gerundb)participle This is a multi-part question you will refer back to this and other finished parts to help answer this and future questionsIn 2005 a town with a population of 10,000 finds that its population is declining by a rate of 0.3% per year. Find the following Johnny was asked how long it will take the population to reach 1/2 of the original population. He answered that it would never reach half, what is the incorrect assumptions Johnny made? (answer with aJohnny was asked how long it will take the population to reachcomplete sentence) Please help. Based on these first amendment rights, one understands that the U.S. Constitution values...1. A.the role of a central government1. B.the need for a strong military1: C.the rights of individuals1. D. the necessity of the legislative branch the observable traits expressed by an organism are described as its Question is atttached below True or False: The claim that some people made in the popular press is not consistent with the model in this chapter. True False True or False: The change in the real exchange rate that resulted from the decline in the quality of U.S. products may increase our standard of living. True False what is least too greatest?0.65,0.59,3/5 Help help help help help Helpp How might human population growth result in a tragedy of the commons?A. Each birth is a common resource for the population.B. All people use natural resources to survive.C. People are the most important resource on Earth.D. People have more in common than they realize. I Need help asap PLS HURRY marcus piano teacher wanted him to practice 1.5 hours before she saw him on friday afternoon he practiced 18 minutes on monday 23 minutes on tuesday 16 minutes on wednesday and 13 minutes on thursday. how long did he have to practice on friday morning to meet his goal? what fraction of an hour is that? pls help 15 if correct Does a moving charge experiences a force in magnetic field? Explain a compound is a substance composed of two or more elements in a fixed ratio. true or false?