oil is leaking out of a tank. the depth of oil in the tank for 60 seconds is shown below. use the graph to work out the rate of decrease of depth, in cm/s, at 10 seconds. you must show your working.
Answers
Answer:
2.24
Step-by-step explanation:
The rate of decrease at 10 seconds is - 0.642.
What is the formula for exponential growth and exponential decaying function?The formula for exponential growth is y = y₀.e^(kt).
The formula for exponential decay is y = y₀.e^(-kt).
From the graph, we conclude that it is an exponentially decaying function.
At t = 10, depth = 60 and at t = 0 depth = 112
(as every box represents 4 units).
So, the rate of decrease can be obtained by,
112 = 60.e^(-10k).
e^(-10k) = 1.86.
lne^(-10k) = ln1.86.
- 10k = 6.42.
k = - 0.642.
The rate of decrease at 10 seconds is - 0.642.
learn more about the exponential decaying function here :
https://brainly.com/question/14891068
#SPJ6
Related Questions
Is there an y-intercept? I will mark brainliest
Answers
SAME SCENARIO - DIFFERENT QUESTION
A $250 gaming system is discounted by 25%. It was then discounted another 10%
because the box was opened by a customer. What is the total percent discount after
both discounts are taken
32.5%
35%
62.5%
30%
Answers
Answer:
25$
Step-by-step explanation:
How many integers are there that consist of four digits (from 1000 to 9999) where the first digit is a 5 or an 8 and the third digit is not 5 or 8
Answers
Answer:
1600 integers
Step-by-step explanation:
Since we have a four digit number, there are four digit placements.
For the first digit, since there can either be a 5 or an 8, we have the arrangement as ²P₁ = 2 ways.
For the second digit, we have ten numbers to choose from, so we have ¹⁰P₁ = 10.
For the third digit, since it neither be a 5 or an 8, we have two less digit from the total of ten digits which is 10 - 2 = 8. So, the number of ways of arranging that is ⁸P₁ = 8.
For the last digit, we have ten numbers to choose from, so we have ¹⁰P₁ = 10.
So, the number of integers that can be formed are 2 × 10 × 8 × 10 = 20 × 80 = 1600 integers
The sum of two numbers is 36. The difference of the numbers is 14. What are the numbers? Write your answer as an ordered pair with no
spaces and in this order (smaller number, larger number)
Answers
Answer:
(11,25)
Step-by-step explanation:
36-14 = 22
22/2= 11
11+14 = 25
Answer:
11 and 25
Step-by-step explanation:
The two numbers we'll call x and y. Let's set up equations to model the situation:
x+y=38
x-y=14
Solving the second one for x,
x=y+14
Plug this into the first equation for x and get:
(y+14)+y=36
2y+14=36
2y=36-14
2y=22
y=11
x-y=14
x-11=14
x=14+11
x=25
6. Determine the line of reflection of the following.
Answers
Answer:
Step-by-step explanation:
Answer:
the correct answer is ×=-3
Calculate the slope between the points 4, 9 and 5, 1
Answers
Answer:
-8
Step-by-step explanation:
Answer:
9,4 and 1,5
Step-by-step explanation:
there
if given points A at (1,4) and B at (6,10) determine AB
Answers
Answer:
would be A.
Step-by-step explanation:
A.
8x + 38 = -3(-6 - 4x)does this have no solutions, infinite solutions, unique solutions (please show work)
Answers
Answer: x=5
Step-by-step explanation:
8x+38=18+12x
38-18=12x-8x
20=4x
20/4=x
5=x
Round the number 42.763 to 1 decimal place.
What’s the answer
Answers
Answer:
42.763 to the nearest tenth is 42.8
The nearest 1 decimal place for 42.763 is 45.000. I rounded .763 to 1. Then I added 42 and 1 together and got 43. Lastly i turned 43 into 45 because that closer to 43 then 40.
solve for x write your answer as a proper fraction or as a whole or mixed number
2/5(5x-3)+3/5=4x-1/5
Answers
Answer:
x=-1/5
Step-by-step explanation:
[tex]\frac{2}{5} (5x-3)+\frac{3}{5} =4x-\frac{1}{5}[/tex]
Multiply both sides by 5:
2(5x-3)+3=20x-1
Distribute:
10x-6+3=20x-1
Simplify Like-Terms:
10x-3=20x-1
Add 3 to both sides:
10x=20x+2
Subtract 10x from both sides:
0=10x+2
Subtract 2 from both sides:
10x=-2
Divide by 10:
x=-2/10
or
x=-1/5
What situation is modeled by the equation 24=15x+8?
options in picture*
Answers
Melanie earns average tips of 18% while waiting tables. If her sales one night were $730.84, what did she make in tips?
Answers
Answer:
131.5512....I think
Step-by-step explanation:
730.84×0.18
can someone help me please
Answers
9514 1404 393
Answer:
(a) 25°
Step-by-step explanation:
The angle marked 93° is the average of the arcs intercepted by the secant lines.
(161° +AD)/2 = 93°
161° +AD = 186° . . . . . multiply by 2
AD = 25° . . . . . . . . . . .subtract 161°
4. 13x + 5y = -11
13x + 11y = 7
Solution:
Answers
Answer:
y=2/3
Step-by-step explanation:
Answer:
(-2,3) x= -2 y=3
Step-by-step explanation:
The first thing you should do is convert both into standard y=mx+b form
For the first equation you subtract 5y and add 11 to both sides to get
13x+11= -5y
you divide by negative 5 to get
-13x/5-11/5=y
For the second equation we subtract 11y and 7 from both sides to get
13x-7= -11y
divide both sides by -11 to get
-13x/11 + 7/11
We then set both equations equal to each other and solve for x
-13x/5-11/5= -13x/11 + 7/11
Add 11/5 to both sides to get
-13x/5 = -13x/11 + 156/55
Add 13x/11 to both sides to get
-78/55x=156/55
Divide and solve for x to get -2
Then plug x = -2 into the original equations to find y
13*-2 + 5y = -11
-26 + 5y = -11
Add 26 to both sides
5y= 15
y =3
The radius of the circle on a basketball court is 6 ft. What are the approximate circumference and area of the circle?
Answers
ANSWER:
Circumference= 37.7
Area= 113.1
What is the inverse of f(x) = 1x+2?
Answers
Jason is watering his garden. He uses 2.75 gallons of water each minute. How much
water does Jason use after watering his garden for 3 minutes?
Answers
Answer:
8.25 Gallons
Step-by-step explanation:
2.75 gallons * 3 minutes = 8.25 gallons
need help with this.
Answers
Answer:
k = - 12
Step-by-step explanation:
(5)³ - 7(5) + k = 78
125 - 35 + k = 78
k = - 12
k=-12
Pretty easy if u know Spanish- but I don't so help
Answers
Answer:
1- Sandra
2- compañera
3- tarea
4- hacer los
Step-by-step explanation:
i just came up with a conversation about hw between them
no entiendo la pregunta. que necesitas escribir?
por favor, dices mas.
Lol im not very good at spanish either i hope this makes sense
Look at the two circles below. They share a center point. The larger circlehas a radius of 10 inches. The distance between the smaller circle and the larger circle is 2 inches. Which best represents the shaded area between the two circles?
A138 square inches
138 square inches
B36 square inches
36 square inches
C515 square inches
515 square inches
D314 square inches
314 square inches
Answers
Find the x- and y-intercepts of the function. please explain help asap please
I meed help this is my second time posting this question
Answers
y intercept: 2
HEEEEEEEEEEEEEEEEEEEEEEELP 20 POINTS
Answers
Which expression is equivalent to 4/9(2n – 3)?
Answers
Answer:
8/9n - 1 1/3
Step-by-step explanation:
PLEASE HELP ME OUT !!
create a table for y=-3x + 1
Answers
0. 1
1. -2
2. -5
3. -8
When a principal amount, P, is invested at an annual interest rate,r, and compounded n times per
year, the amount accumulated in the account after t years can be found with the equation:
A = P(1+ :)"
Javier invested $2,350 in a savings account for 5 years with a rate of 1.75% compounded every six
months. In this situation, what is n?
Answers
Answer:
2
Step-by-step explanation:
A = P( 1+r/n) ^ (nt)
P is the amount invested
r is the rate
n is the number of times per year the interest is compounded
t is the number of years
every 6 months is twice a year
so n is 2
Answer:
Step-by-step explanation:
10+50+60=500
help plz solve these equations by completing the square
x square + 12x =1
Answers
Answer:
x = - 6 ± [tex]\sqrt{37}[/tex]
Step-by-step explanation:
Given
x² + 12x = 1
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(6)x + 36 = 1 + 36
(x + 6)² = 37 ( take the square root of both sides )
x + 6 = ± [tex]\sqrt{37}[/tex] ( subtract 6 from both sides )
x = - 6 ± [tex]\sqrt{37}[/tex] ← exact solutions
Need the steps and answer!
Answers
Answer:
(4,0)
Step-by-step explanation:
add the 2 equations together
6x = 24
x=4
put x into the first equation
16+3y=16
y=0
PLEASE IT'S DUE SOON! I'll GIVE YOU THE BRAINLYEST Factor The Polynomial 25x^2(x+2)-9(x+2)?
Answers
Answer:
(x + 2) (5x + 3)(5x - 3)
Step-by-step explanation:
[tex]25x^2(x+2)-9(x+2) \\ \\ = (x + 2)(25 {x}^{2} - 9) \\ \\ = (x + 2) \{ ({5x})^{2} - {(3)}^{2} \} \\ \\ = (x + 2) \{(5x + 3)(5x - 3) \}\\ \\ = \purple{ \bold{(x + 2) (5x + 3)(5x - 3) }} \\ are \: the \: required \: factors[/tex]
Let g(x)= - 3x and h(x) = x^2 – 5. Find (g o h)(0).
Answers
Answer:
15
Step-by-step explanation:
(g o h)(0) = g of h of 0 = g (h(0))
1. Find h(0)
h(0) = 0^2 - 5 which equals -5
2. Find g(-5)
g(-5) = -3 • -5 which equals 15
Answer: 15
HELP PLS!!!
What is the correct graph of the equation, y = -2x - 6
Answers
This is because the -6 represents the y-intercept and D is the only one where it passes through -6
Answer:
-6
x+y= 16
y=-x-6
and so the y- is -6
