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]
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.
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PLEASE HELP ME!!
Find the domain, in interval notation too.
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.
Please help me. What is 5 3/4 - 2 11/12? I'm almost done for the year
Answer:
2.83
Step-by-step explanation:
Round 0.008547 to the nearest thousandth :]
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
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
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
Use mental math to find the missing number. Enter your answer in the box.42,000 ÷ = 600
Answer:
7 is the required answer.
Step-by-step explanation:
4200 ÷ 7 = 600
Somebody plz help ????? I need the answer to this
Answer:
I was thinking it should be -1,2 but that'd not an awnser so B
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
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
Determine whether the following ratios are equivalent. (9:12 and 24:18)
0111100109090909099999999999999999
use the table to work out the values of a, b, c and d
PLEASE HELP!!!
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
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
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
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!!!!
Answer:
it 3.5-9
Step-by-step explanation:
Sorry for the spam, I really need help.
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
I just need help with these 3
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:
..................................
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.
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.
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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
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...
( :
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
Answer:
I know they are not the same name but they have the same question they are the same answerStep-by-step explanation:
#hope it helps you #happy learningPLEASE 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._________
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
Will give brainliet no file plz
Answer:
it would be C
Step-by-step explanation:
PLEASE HELP!!!!!!!!!!!!!!!!!!!!
Answer:
I think it's c
Step-by-step explanation:
because that looks like a good answer.
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
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.
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.
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If ∠ABC and ∠DBF are vertical angles we can conclude...
Answer:
We can conclude they are congruent
Step-by-step explanation:
Because of the vertical angles theorem
I need help :) pls help me:)
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
The product of two consecutive positive odd numbers is 195.By constructing a quadratic equation and solving it, find the two numbers
Please help
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.
Use the following function rule to find f(0).
f(x) = 5^x− 4
f(0) =
Answer:
-3
Step-by-step explanation:
Using the remainder and the factor theorem
5⁰-4
1-4
-3
6 * 2 /( -1)4* 5-(8+3)
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
How many times larger is 4 × 1011 than 2 × 106?
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
Answer:B and c
Step-by-step explanation:
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
Answer:
5:3=8
3/8 x 120
3/1 x 15
3 x 15=45
Step-by-step explanation:
hope this helps
sorry
I don’t get it and I’m struggling to answer it.