Answer:
1/24
Step-by-step explanation:
8x + 1/3 = 2/3
- 1/3 - 1/3
8x = 1/3
8x/8 = (1/3)/8
x = 1/24
The half-life of caffeine in a healthy adult is 4.8 hours. Jeremiah drinks 18 ounces of caffeinated
coffee in the morning. How long will it take for only 60% of the caffeine to remain in his body?
We want to see how long will take a healthy adult to reduce the caffeine in his body to a 60%. We will find that the answer is 3.55 hours.
We know that the half-life of caffeine is 4.8 hours, this means that for a given initial quantity of coffee A, after 4.8 hours that quantity reduces to A/2.
So we can define the proportion of coffee that Jeremiah has in his body as:
P(t) = 1*e^{k*t}
Such that:
P(4.8 h) = 0.5 = 1*e^{k*4.8}
Then, if we apply the natural logarithm we get:
Ln(0.5) = Ln(e^{k*4.8})
Ln(0.5) = k*4.8
Ln(0.5)/4.8 = k = -0.144
Then the equation is:
P(t) = 1*e^{-0.144*t}
Now we want to find the time such that the caffeine in his body is the 60% of what he drank that morning, then we must solve:
P(t) = 0.6 = 1*e^{-0.144*t}
Again, we use the natural logarithm:
Ln(0.6) = Ln(e^{-0.144*t})
Ln(0.6) = -0.144*t
Ln(0.6)/-0.144 = t = 3.55
So after 3.55 hours only the 60% of the coffee that he drank that morning will still be in his body.
If you want to learn more, you can read:
https://brainly.com/question/19599469
Which of the following angles is corresponding with 25?
02
07
08
04
Answer:
∠7 . However ∠7 and ∠8 are vertical angles which are equal,
Step-by-step explanation:
Angle ∠7, but because ∠7 and ∠8 are vertical angles and they are equal also.
∠5 corresponds to ∠7
m ∠7 = m ∠8 vertical angles are =
I will say ∠7 and ∠8.
anna is 5ft tall and has a shadow that is 3ft long. she is standing next to the stop sign if the sign’s shadow is 4.5 ft long how tall is the stop sign
Answer:
6.5 feet
Step-by-step explanation:
Anna's shadow is 2 feet shorter than her. So, therefore, the stop sign is 2 feet taller that its shadow.
Precalculus: Conics
At the Bellagio Resort in Las
Vegas, one of the fountains
attains a maximum height of 4m
at a horizontal distance of 0.5m
from its spout. If the path of
water is a parabola, find the
height of the water at a
horizontal distance of 0.75m
from the origin.
Answer:
yahoooooooooooooooo
Step-by-step explanation:
A farmer had 21 goats all but 9 died how many survive ?
Answer: 12
Step-by-step explanation:
Answer:
it would be 9
Step-by-step explanation:
All but nine died means "everything except nine goats died"
All 12 goats died.
2. Jones has already taken 1 page of notes on his own, and he will take 2 pages during each hour of class. If after 4 hours, he had 9 pages of notes completed, at what rate did he complete the
note pages during those 4 hours?
O 2.25 pages per hour
O 2 pages per hour
O 2.5 pages per hour
0 4 pages per hour
Answer:
2.25
Step-by-step explanation:
if you did 4ph you would get 16 so no. if you did 2ph you would get 8 so no. if you did 2.5ph you would get 8.20 so no but if you did 2.25ph you would get 9 c:
Answer:
A) 2.25 pages per hourStep-by-step explanation:
Let the average rate is x.
We have:
1 + 4*2 = 4xSolve for x:
4x = 9 x = 9/4x = 2.25Correct choice is A
Needing to find the answer to this question attached. Thank you
[tex]\sin \theta -1 =0\\\\\ \implies \sin \theta = 1\\\\ \implies \theta = \dfrac{\pi}2 + 2\pi n\\\\\text{For n =0,}\\\\\theta = \dfrac{\pi}2[/tex]
what is the first three elements of an arithmetic sequence are -13 , -8 and -3, which elements is 182?
. An insurance company predicts that about an 80% chance that a person aged 20 will be alive at age 65 in a certain population. Suppose that 64 people aged 20 are selected at random. What is the probability that at least 48 of them will still be alive at age 65
Step-by-step explanation:
the probabilty for exactly 48 people surviving is
(64 over 48) × 0.8⁴⁸ × 0.2¹⁶
the possible combinations of 48 people out of 64 associated with the probability of 48 survivors and 16 deaths.
"at least" is then sum of the probabilities of exactly 48, 49, 50, 51, ... 64 people surviving.
that is a longer calculation of these 17 possibilities.
they go
(64 over 48) × 0.8⁴⁸ × 0.2¹⁶ = 0.0714...
(64 over 49) × 0.8⁴⁹ × 0.2¹⁵ = 0.0933...
(64 over 50) × 0.8⁵⁰ × 0.2¹⁴ = 0.1119...
...
(64 over 63) × 0.8⁶³ × 0.2¹ = 0.00001004...
(64 over 64) × 0.8⁶⁴ × 0.2⁰ = 0.0000006277...
the sum is the probabilty (that at least 48 out of the 64 are alive at 64) of 0.8746...
the maximum single probability (for an exact number of survivors) is as expected at exactly 51 and exactly 52 survivors with a probability of 0.1229... for each case.
of course, this is around the expectation value of
64×0.8 = 51.2 (out of the 64 it is expected that per average 51.2 people survive and reach age 64).
geomtry plz help 15 points
Answer:
[tex]DE=5x-12[/tex]
Step-by-step explanation:
From this we can see this is an equilateral triangle
So, both sides to make every angle equal have to be the same
That's why [tex]DE=5x-12[/tex]
Brainliest please
Answer:
DE = 5x-12 (base angles of isos triangle)
Two angles are supplementary. One of the angles measures 4(2x+9)and the other angle measures 2(4x−8). What is the value of x?
Answer:
x=10
Step-by-step explanation:
4(2x+9) +2(4x-8) = 180 >> sumpplementary angles .
16x = 180 -36+16
16x=160
x=10
PLEASE HELP 100 POINTS
Answer:
I think its x = 8
Step-by-step explanation:
There are 8 white long rectangles so I would think x = 8
but there are 9 little white squares so it could be 8 + 9 but
Answer:
x= 6/7
Step-by-step explanation:
becuase 7x -3x -2 + 1 = 8-3-3x + x
is simplified to 5x -1 = 5-2x
+2 on both sides
7x-1 =5
+ 1 on both sides
7x=6
divde both by 7
x= 6/7
9.
Identify the point corresponding to Q.
IT'S NOT A. Q' (-3, -4)
A. Q′ (−3, −4)
B. Q′ (−4, 1)
C. Q′ (−1, −4)
D. Q′ (−4, −3)
Answer:
C(-1, -4)
Step-by-step explanation:
see the point reflected over the line through the vertex point
Answer:
D. Q′ (−4, −3)
Step-by-step explanation:
From looking at the graph it looks like the answer would be
Q= (3, -4) if the X-axis goes first
Q= (-4, 3) if the Y-axis goes first
Solve | x+4| -5=6
A. x= -7 and = -15
B = 7 and = -7
C. x = 7 and = -15
D. x = -7 and = 15
Answer:
b
Step-by-step explanation:
a.Donkey Kong is an arcade game where an animated figure, Mario, jumps over barrels. In the original game, it was virtually impossible to get through to Level 22 before Mario was ‘killed’ by the game. This was an unintended consequence of how the number of bonus points was calculated and stored.
The number of bonus points a player starts with when they move onto a new level depends on the number of the level that they are moving onto. Behind the scenes, Donkey Kong takes the level that is about to be entered, multiplies it by 10 and adds 40, thus yielding the first two digits of the player’s starting bonus.
So, for example, if a player is about to start Level 2, the bonus number is calculated like this:
2 × 10 + 40 = 60.
This bonus number is stored in a single byte as an unsigned integer. The bonus number will never be 0.
i.Write down and evaluate an expression for the number of different unsigned integers that can be represented in a single byte. Then write down the largest unsigned integer that can be represented if no representation for 0 is required.
ii.Find the bonus number associated with Level 22. Explain why storing this bonus number will cause a problem.
iii.For Level 22, the bonus number actually stored is 4. Give one likely explanation for this.
iv.The bonus number is multiplied by 100 before it is displayed on the screen, so for Level 22 the number displayed on the screen is 400. The displayed number decreases by 100 every 1.75 seconds. When the displayed number reaches 0, Mario is automatically killed. How many seconds does the player have to finish Level 22?
Answer: what is the Question?
Step-by-step explanation:
Determine the value of x. Question 4 options: A) 10 B) 5 C) 10 D) 5
Cinco múltiplos del 12
Answer:
60 Sana po makatulong pa brainlest please
can someone heelp me plz plz
Answer:
d)fluid ounce may be right answer
5/8 x 3 1/4 using cancellation
Answer: 65/32
Step-by-step explanation:
A bag contains 8 red balls and 4 white balls. Two balls are drawn without replacement. (Enter your probabilities as fractions.) (a) What is the probability that the second ball is white, given that the first ball is red
Answer:
total marbles;12
after drawing red total counts are 7 red and 4 white 11 in total
probabilities are 4/11
Can someone pls help me!!! I really need it pls :)
Answer:
Mean x¯ 8.3333333333333
Median x˜ 9
Mode 9
Step-by-step explanation: if 8.3 dosent work just round it
if there was a group of ten people the probability of two of them being born on the same day of the same week is 1? is this correct yes or no explain you answer.
Answer:yes
Step-by-step explanation:
Im not that good but if there is a birth rate of 1000 people per day then if you estimate that awnser you have a possibility of 60%
Alexander is a car salesman. He earns 7% in commission each week. Last week, he sold $164,000 worth of cars. How much did he make last week in commission?
Answer:
$11,480
Step-by-step explanation:
the length of a rectangle is 4 less than 3 times its width.if its width is 5 cm what will be its perimeter
Answer:
32cm
Step-by-step explanation:
Answer:
Given that: The length of a rectangle is 4 less than 3 times its width. The perimeter of a rectangle is 32 cm.
f(x-1)=3x²-7x+8, find f(x)
Answer:
f(x) = 3x² -x +4
Step-by-step explanation:
Use (x+1) for x and simplify.
f((x+1) -1) = 3(x +1)² -7(x +1) +8
f(x) = 3(x² +2x +1) -7x -7 +8
f(x) = 3x² -x +4
Ricky paddles his canoe at a rate of 6 miles per hour in still water. Last weekend he canoed
on Carver Creek going downstream with the current for 9 miles and then returning upstream
against the current. If the trip took him 4 hours to complete, what equation can be used to find
the speed of the current
Answer:
3 miles/hour
Step-by-step explanation:
Well, we already know that the speed at which he paddles is 6 miles/hour
Since his net speed while going down stream is his speed plus the current's speed, here's what we have:
NetSpeed = HisSpeed + CurrentSpeed
Replace the values we already know:
9 = 6 + x
X = 3 miles/hour
An equation that can be used to find the speed of the current is,
4 = 9/(4 - x) + 9/(4 + x).
What is speed?Velocity is the pace and direction of an item's movement, whereas speed is the time rate at which an object is travelling along a route.
Given:
Ricky paddles his canoe at a rate of 6 miles per hour in still water.
Last weekend, he canoed on Carver Creek, going downstream with the current for 9 miles and then returning upstream against the current.
The trip took him 4 hours to complete.
The downstream rate = 4 + x
And the upstream rate = 4-x.
Then an equation can be used to find the speed of the current is,
4 = 9/(4 - x) + 9/(4 + x)
Therefore, the equation is 4 = 9/(4 - x) + 9/(4 + x).
To learn more about the speed;
https://brainly.com/question/7359669
#SPJ2
What is the product?
(Y^2+3Y+7)(8y^2+y+1
Answer:
8y⁴+25y³+60y²+10y+7
Step-by-step explanation:
8y⁴+y³+y²+24y³+3y²+3y+56y²+7y+7
8y⁴+25y³+60y²+10y+7
Answer:
8y^4+25y^3+60y^2+10y+7
Step-by-step explanation:
(y^2+3y+7)(8y^2+y+1)
We are going to multiply the first term, y^2, by the whole second part (8y^2+y+1)
8y^4+y^3+y^2
now we multiply the 2nd term, 3y, by the whole second part (8y^2+y+1))
24y^3+3y^2+3y
now we do the same to the last term, 7.
56y^2+7y+7
now we need to add all three of our products together
(8y^4+y^3+y^2)+(24y^3+3y^2+3y)+(56y^2+7y+7)
adding like terms:
8y^4+y^3+24y^3+y^2+3y^2+56y^2+3y+7y+7
we get:
8y^4+25y^3+60y^2+10y+7
Please help!
The black graph is the graph of
y = f(x). Choose the equation for the
red graph.
Answer:
it would be c because its moved 2x up
Step-by-step explanation:
2.
Use the quadratic model y = -4x^2 + 8x + 8 to predict y if x equals 100.
A. 39,208
B. –40,792
C. –39,192
D. 40,808
Answer: I can't find the answer :(
Step-by-step explanation: :(
Answer:
-4*100^2 + 8 *100 + 8
-4 * 100^2 + 800 + 8
-4 * 10000 + 808
-40000 + 808
= -39192
-39192 is the answer
Step-by-step explanation:
2/3 of a cup of batter can make 5/6 of a batch of pancakes. How many cups of water are needed to make one batch of pancakes?
Answer:
1 11/12 cups of water
