Using an exponential function, it is found that:
a) [tex]N(t) = 75(0.5)^{\frac{t}{3.8}}[/tex]
b) 37.5 grams of the gas remains after 3.8 days.
c) The amount remaining will be of 10 grams after approximately 11 days.
What is an exponential function?A decaying exponential function is modeled by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal.Item a:
We start with 75 grams, and then work with a half-life of 3.8 days, hence the amount after t daus is given by:
[tex]N(t) = 75(0.5)^{\frac{t}{3.8}}[/tex]
Item b:
This is N when t = 3.8, hence:
[tex]N(t) = 75(0.5)^{\frac{3.8}{3.8}} = 37.5[/tex]
37.5 grams of the gas remains after 3.8 days.
Item c:
This is t for which N(t) = 10, hence:
[tex]N(t) = 75(0.5)^{\frac{t}{3.8}}[/tex]
[tex]10 = 75(0.5)^{\frac{t}{3.8}}[/tex]
[tex](0.5)^{\frac{t}{3.8}} = \frac{10}{75}[/tex]
[tex]\log{(0.5)^{\frac{t}{3.8}}} = \log{\frac{10}{75}}[/tex]
[tex]\frac{t}{3.8}\log{0.5} = \log{\frac{10}{75}}[/tex]
[tex]t = 3.8\frac{\log{\frac{10}{75}}}{\log{0.5}}[/tex]
[tex]t \approx 11[/tex]
The amount remaining will be of 10 grams after approximately 11 days.
More can be learned about exponential functions at https://brainly.com/question/25537936
"the square of y decreased by
quotient of 36 and 6"?
Here's your answer, folks! ↓
[tex]y^2 - (36 * 6)[/tex]
Solve w2 + 2 w - 24 = 0.
Answer:
w= -6
w= 4
Step-by-step explanation:
w= -b sqrt(b^2-4ac)
2a
let
a=1
b=2
c= -24
substitute values~
[tex]==========================================[/tex]
In order to solve this equation for w, we need to factor it.
First, let's think of 2 numbers that multiply to -24 and add to 2.
These numbers are -4 and 6.
Check:
6×(-4)=-24 ✓
6+(-4)=6-4=2✓
Now, factor:
( ) ( )
That's how it should look like:
(w+ )( w- )
Now, instead of the blanks, plug in -4 & 6:
(w-4)(w+6)
Now, set each factor equal to 0:
w-4=0
w=4
w+6=0
w=-6
[tex]====================================[/tex]
Notes:-Hope everything is clear.Let me know if you have any questions!Enjoy your day!Always remember: Knowledge is power!Answered by:-Nickname:-
[tex]\rule{1}{1}~\rule{2}{2}\mathbb{DiAmOnD}[/tex]Select all the expressions that are equal to 12x + 36
12(x + 24)
x(12 + 36)
3(4x + 12)
4(3x + 9)
4(3x + 9x)
Answer:
The answer are
12(x + 24) ❌
x(12 + 36) ❌
3(4x + 12) ✅
4(3x + 9) ✅
4(3x + 9x) (Again?) ✅
Step-by-step explanation:
12x + 36 equals 12(x + 3) (Keep that in mind)
12(x + 24) is not correct because the result is 12x + 288. Therefore, the first option is incorrect. ❌
x(12 + 36) isn't correct either. This is because the result is 48x. Therefore, the second option is incorrect too. ❌
3(4x + 12) is correct because the result is 12x+36, but wait! Remember how I told you to keep 12(x + 3) in mind? Well, when you solve 12x+36, the result is 12(x + 3). Therefore, the third option is correct. ✅
4(3x + 9) is correct because the result is 12x+36 just like the third option, but wait! Since it is the same as the third option, that means that the result will be 12(x + 3). Therefore, the fourth option is correct too.✅
4(3x + 9) is correct because the result is 12x+36 just like the third option, but wait! Since it is the same as the third option, that means that the result will be 12(x + 3). Therefore, the fourth option is correct too. (Again?) ✅
Hope this helped! Keep strong and good luck! :)
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Let me know if you want me to help you with anything else. I'll be happy enough to help you. :>
- ✨7272033Alt✨
1. A house which cost £96000 appreciated in value each year by 1.6%
Calculate the value of the house after 4 years.
Give your answer to 3 significant figures
Answer:
£102,000
Step-by-step explanation:
A growth rate of 1.6% corresponds to an annual growth factor of ...
1 +1.6% = 1.016
The house value is multiplied by this factor each year for 4 years, so the final value is ...
£96000 × 1.016⁴ ≈ £102,293
To 3 significant figures, the house value after 4 years is £102,000.
Answer:
answer : 102293.04
3 significant figures : 102000
Step-by-step explanation:
Julio watched a movie that started at 11:30 am and ended at 2:12 pm how long was the movie
solve 3x-1=5x+7
Please help
Answer:
[tex]3x - 1 = 5x + 7 \\ \\ 5x - 3x = 7 + 1 \\ \\ 2x = 8 \\ \\ x = \frac{8}{2} \\ \\ x = 4[/tex]
# Jerry Don is here#
Consider the figure below: (DE and BC are parallel)
Your coach bought 12 hamburgers and 6 large fries for your team for
dinner. Each hamburger cost $1.75. He spend $30. Write and solve
an equation to determine the cost c of a large fry.
Answer:
$1.5
Step-by-step explanation:
12 x 1.75 + 6c = 30
21 + 6c = 30
6c = 30 - 21
6c = 9
c = 9/6
c = 1.5
Answer:
do face reveal
Step-by-step explanation:
we don't talk about bruno
Does anyone know the answer to this ?? PLEASE HELP.
No links please, don’t answer if you don’t know it :,)
Answer:
2,365,200,000 times
Step-by-step explanation:
Given :
Average heartbeat rate = 60 times/minuteAvg. human lifespan = 75 yearsTo Find :
Number of heartbeats in lifetime of 75 yearsSolving :
Let the number we require be nn = average heartbeat rate x 60 x 24 x 365 x 75n = 60 x 60 x 24 x 365 x 75n = 3600 x 24 x 365 x 75n = 86400 x 365 x 75n = 31536000 x 75n = 2,365,200,000 times2. What number would you divide by to calculate the mean of 3, 4, 5, and 6?
a. 6
b. 3
c. 5
d. 4
Answer:
its 4 i think tell me if i am wrong
Step-by-step explanation:
It took 24 hours to fill up the town swimming pool with 18,000 gallons of water. How many gallons were filled in 1 hour?
Answer:
750 gallons per hour
Step-by-step explanation:
divide 18000 by 24 and you get 750
How do you write 5.0 × 105 in standard form?
Answer:
I'm not sure if you mean 5 x 105 which = 525. Or 5 x 10^5 which = 500,000
Step-by-step explanation:
The answer to the first one. is easy, you just have to multiply it first. The second one is pretty simple too. You would have move or shift the decimal point 5 times to the right.
Dalvin's family took a road trip to Mount Rushmore. Dalvin fell asleep 44% of the way through the trip. If Dalvin fell asleep after they had traveled 176 miles, what was the total length of the trip?
Ignore this I deleted my answer cause I missread the question...
A side of the triangle below has been extended to form an exterior angle of 124°. Find the value of x.
Answer:
56 degrees
Step-by-step explanation:
The angles x and 124 are supplementary angles, which means they add up to 180 degrees.
Thus,
We are left with this equation.
[tex]124 + x = 180[/tex]
Subtracting 124 from both sides, we are left with
[tex]x = 56[/tex]
Hope this helps.
Have a great day.
Marvin's favorite hiking trail is 5. 91 miles long. If he has hiked it 8 times, how far has he hiked on this trail?
Answer: 47.28 miles
Step-by-step explanation: 5.91 times 8= 47.28
Please help !!! What’s the answer to this??
No links please ! And no replies if you don’t know the answer.
Answer:
Average speed is distance/time. You could say, 12/6 = 2 miles per second and say that’s the answer, but we relate to mph so much better. Since there are 60 x 60 = 3600 sec in an hour, that same speed is:
2 x 3600 = 7,200 mph
No “car” can travel this fast. Some rocket cars have gone about 1/10th this speed.
I need more help it would be so nice + it is 100 points.
Answer:
8/3 < 8/2
D
Step-by-step explanation:
8/3 = 2.67
8/2 = 4
So, when fractions have equivalent (same) numerators, the one with the lesser denominator is the greater fraction.
There is more left if 8 is divided by 2 than when it is divided by 3
[Answer]8/3 < 8/2
[Answer] D
PLEASE RATE!! I hope this helps!!
If you have any questions comment below
Answer:
8/3 < 8/2
Step-by-step explanation:
D. When fractions have equivalent numerators, the one with the lesser denominator is the greater fraction.
8/2 = 4
8/3 = 2.667
10 points !!!!!!!!!!!!
Step-by-step explanation:
the numbers are a bit cut off at the top.
do I understand it correctly that the question is when the balloon loses 6/8 of a cubic foot of air ?
if so, I need to point out that the balloon loses 1/8 of a cubic foot per day.
so, how many days until it loses 6/8 if a cubic foot ?
well, 6 times that of 1/8 of a cubic foot = 6 days.
if there are 12 cookies and you ate 1/2 how many cookies will you have left
Answer:
6 cookies
Step-by-step explanation:
half of twelve is 6
12/2=6
Help:
8. Multiply the following:
a. (x^3)(x^2) =
b.(x^7)(x^10) =
c. (3s^4)(-6s^5) =
d. (-20x)(3x) =
Answer:
below
Step-by-step explanation:
the law of indices:
a) x⁵
b) x¹⁷
c) -18s⁹
d) -60x²
HELP ASAP LAST QUESTION I PROMISE
Answer:
[tex]a=36\: \sf ms^{-2}[/tex]
Step-by-step explanation:
[tex]\textsf{Displacement}\:x=4t^3-27t+8[/tex]
[tex]\implies \textsf{Velocity}\:v=\dfrac{dx}{dt}=12t^2-27[/tex]
[tex]\implies \textsf{Acceleration}\:a=\dfrac{dv}{dt}=24t[/tex]
At the moment the direction of motion of P reverses, the velocity of P will be zero. Therefore, find the value of t when v = 0:
[tex]\implies v=0[/tex]
[tex]\implies 12t^2-27=0[/tex]
[tex]\implies t^2=\dfrac{27}{12}=\dfrac94[/tex]
[tex]\implies t=\pm\sqrt{\dfrac94}=\pm\dfrac32[/tex]
As time is positive, P reverses when t = 3/2 s
To find acceleration at this time, simply substitute the found value of t into the equation for acceleration:
[tex]\implies a=24(\frac32)[/tex]
[tex]\implies a=36\: \sf ms^{-2}[/tex]
Simplify: 18 - ⎷81 + 9 · 3⁴ - (3 - 2 + 9) ÷ 2
Answer:
733
Step-by-step explanation:
18 - √81 + 9 × 3⁴ - ( 3 - 2 + 9 ) ÷ 2
18 - 9 + 9 × 81 - ( 10 ) ÷ 2
(18 - 9) + (9 × 81) (-10 ÷ 2)
9 + 729 - 5
738 - 5
733
I hope this helps!
Reflect the shape A in the line
y=-1
.What are the coordinates of the vertices of the image?
Answer:
(3,-3) (5,-3) (3,-6)
Step-by-step explanation:
I hope this helps!!
help me pleaseeeeeeeeee
draw a market and place the point (4 ; 1)
then you go on your right : 4 units
and go down : 3 units
you place a second point
and now you can graph the line
Please help me with this math question attached below.
Answer: 12 outcomes
Step-by-step explanation:
When you flip a coin there are two possible outcomes (heads or tails) and when you roll a die there are six outcomes(1 to 6). Putting these together means you have a total of 2×6=12 outcomes.
For a lab experiment, Jeremy needs to know the volume of a sample of tin with a mass of 189.8 grams.
Use the chart to find the volume of this sample of tin.
Answer:
26 cm^3
Step-by-step explanation:
189.8 gm / ( 7.3 gm / cm^3) = 26 cm^3
Answer:
C) 26cm
Step-by-step explanation:
hope it helps!
Randall makes chilli for a cold winter night. To make 7 servings, he uses 12 1/4 cups of diced tomatoes. How many cups of diced tomatoes are needed to make one serving of chili? Answer in decimal form.
Answer:
1.25 cups of diced tomatoes
Step-by-step explanation:
1. 12 1/4 ÷ 7
2. = 49/4 x 1/7
3. =49/28
4. =7/4
5. =1 1/4 or 1.25
I hope this was helpful
m
A.
Which of the following equations is equivalent to p = + at?
a=t(p-on)
t=a(p)
B.
=
m
גנן
C.
1 =
p-at
D.
r
m =
p-at
Answer:
M Because the evolution of algebraic combinations is disordered and Fibonacci is wrong
Which best describes the range of the function f(x) = 2(3)x?
y > 0
y ≥ 0
y > 2
y ≥ 2
Answer:
y > 0
Step-by-step explanation:
if x = 0, y = 2
if x > 0, y > 0
if x < 0 , y > 0
The option that describes the range of the function f(x) = 2(3)x is A. y > 0.
How to illustrate the function?It should be noted that a function whose value us constant raised to the power of the argument especially the function where the constant is e.
The range of the value of y depends on x. Here, the option that describes the range of the function f(x) = 2(3)x is y > 0.
In conclusion, the correct option is A.
Learn more about functions on:
brainly.com/question/25638609
#SPJ9
Please help with this question
Quadrilateral and Rhombus
Answer:
square ,rhombus, parallelogram
Step-by-step explanation:
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