Answer:
a)4.15 years
b)22.18 years
c)188.53 years
d)3027.66 years
Step-by-step explanation:
Formula : [tex]P(X\leq t)=1-e^{\frac{-t}{\lambda}}[/tex]
So, [tex]P(X>t)=1-(1-e^{\frac{-t}{\lambda}})[/tex]
[tex]P(X>t)=e^{\frac{-t}{\lambda}}[/tex]
We are given that The half-life of such a persistent poison is that time beyond which the probability is .50 that a particular molecule will remain toxic i.e. P(X>t)=0.5
So, [tex]e^{\frac{-t}{\lambda}}=0.5[/tex]
Taking natural log both sides
[tex]ln(e^{\frac{-t}{\lambda}})=ln(0.5)\\\frac{-t}{\lambda}=ln(0.5)\\t=-\lambda ln(0.5)[/tex]
a)
[tex]\lambda =6[/tex]
t=-(6) ln(0.5)=4.15 years
b)
[tex]\lambda =32[/tex]
t=-(32) ln(0.5)=22.18 years
c)
[tex]\lambda =272[/tex]
t=-(272) ln(0.5)=188.53 years
d)
[tex]\lambda =4368[/tex]
t=-(4368) ln(0.5)=3027.66 years
Dan’s number is three times more than Michael’s. The sum of their numbers is 48. What are their numbers?
Answer:
michael's number is 12, therefore Dan's is 36.
Step-by-step explanation:
48= michael's number+ 3 times Michael's number
48= m+3m
48= 4m
48÷4= 12 = michael's number
since Dan's is 3 times Michael's, his number is 36.
Answer: Michale's number is 12 and Dan's is 36
Step-by-step explanation:
Using ratios you can create 3:1 which is Dan's ratio to Michale.
You add 3 and 1, which gives you 4.
Divide 48 by 4, which gives you 12.
Michale's part of the ratio is 12 as he has three times less than Dan.
Which concludes that Dan has 36 and Michale has 12.
What is 805 x 4 and What is 3,220 divided by 4?
Answer:
805 x 4 = 3,220
3,220 / 4 = 805
Step-by-step explanation:
Its the same thing but backwards!
Stay Safe!
HELP!!!
A chemical manufacturer wants to lease a fleet of 26 railroad tank cars with a combined carrying capacity of 560,000 gallons. Tank cars with three different carrying capacities are available: 7,000 gallons, 14,000 gallons, and 28,000 gallons. How many of each type of tank car should be leased?
Answer:
16 of the 28,000 gallon tanks
6 of the 14,000 gallon tanks
4 of the 7000 gallon tanks
Step-by-step explanation:
ez
The tank should be leased by each quantity by 4 tank cars of 7000 gallons , 6 tank cars of 14000 gallons and 16 tank cars of 28000 gallons .
What is elimination method?In the elimination method, we eliminate any one of the variables by using basic arithmetic operations and then simplify the equation to find the value of the other variable. Then we can put that value in any of the equations to find the value of the variable eliminated.
According to the question
Let Tank cars of 7000 gallons = x
Let Tank cars of 14000 gallons = y
Let Tank cars of 28000 gallons = z
A chemical manufacturer wants to lease a fleet of 26 railroad tank cars with a combined carrying capacity of 560,000 gallons.
i.e ,
x + y + z = 26 ---------------------------------------(1)
and
7000x + 14000y + 28000z = 560000
x + 2y + 4z = 80 --------------------------------(2)
Now , solving equation (1) and (2) by elimination method
x = 4
y = 6
z = 16
Hence, The tank should be leased by each quantity by 4 tank cars of 7000 gallons , 6 tank cars of 14000 gallons and 16 tank cars of 28000 gallons .
To know more about elimination method here:
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What is the solution for tge equation
8x-12=4x?
Answer:
Step-by-step explanation:
8x - 12 = 4x
-12 = 4x - 8x
-12 = - 4x
-12/-4 = x
3 = x
1,2,1,10,1,50,1 what is the next number
Answer:
250
Step-by-step explanation:
its 1 and then the number before it times 5. without the ones it would be 2,10,50,250
Answer:
250
Step-by-step explanation:
theres a pattern, after every 1 you multiply by 5, for example 2x5=10 10x5=50 50x5=250
Part B
After the first hour, Samuel and Allie agree they will continue to climb up the rock
face for another 1 hour. Allie continues to climb at the same rate. What rate must
Samuel climb in the last { hour to reach the same height as Allie?
Samuel needs to climb at a rate of
meters per hour in the last hour to reach
the same height as Allie.
same needs to climb at a 12 rate
Fred bought four bags of rice. Each bag contained StartFraction 2 Over 11 EndFraction kilogram. How much rice did Fred buy?
Answer:
8/11
Step-by-step explanation:
go follow newamlie on tt lol
Task: Use the following situation to answer Parts A and B Instructions At noon, a tank contains 100 gallons of water. The table shows the input and output of water from pipes A, B, and C. The pipes begin operating simultaneously at noon. A B C Pipe Flow IN (gallons per minute) a (2) = 172 6(2) = 80 Flow OUT (gallons per minute) c (2)=30r Complete each of the 2 activities for this Task. Activity 1 of 2 Let T (2) represent the amount of water in the tank x minutes after all of the pipes A, B, and C are opened. Which of the following functions represents T (x)? O A T (2) = 100 + a(z) +b(2) - c(x) OCT (x) = 100 + a (x) +b(2) + c(2) OBT () = a (x) + b() +(2) ODT (2) = a (x) +b(x) - c(:) Activity 2 of 2 Using the equation, after how many minutes will the tank be empty?
Answer:
See referenced question
Step-by-step explanation:
Refer to this answer:
https://brainly.com/question/18638278Attached is the question in original form
Every 1 inch of vertical rise, 12 inches ramp length is required. What is the ramp length required for the rise of 10.5?
You will require 126 inches of ramp for a rise of 10.5
Step-by-step explanation:Evaluate the word problem
If your verticle rise is 10.5 inches for every 1 inch of that 10.5 you have 12 inches. This is written into an equation as follows;
x: How many inches of vertical rise you have,
y: Length of ramp required
y = 12x
Solve:
y = 12x
y = 12(10.5)
y = 126 inches of ramp
Hope this helps
Suppose you invested 2000 in a compound interest account earning 10% per month. How much would you have in your account at the end of 5 months?
Answer:
she ate my. s aa a awwosewrtfgfdswertyu
Step-by-step explanation:
wwwwojwojwowj
Answer:
$3,221.02
Step-by-step explanation:
Month 1: $2000 x 1.10 = $2,200
Month 2 = $2,200 x 1.10 = $2,420
Month 3 = $2,420 x 1.10 = $2,662
Month 4 = $2,662 x 1.10 = $2,928.2
Month 5 = $2,928.2 x 1.10 = $3,221.02
6x-2x+11= -5
xs are unknown, not multiply.
Step-by-step explanation:
6x-2x+11=-5. 6x-2x=-5-11. 4x=16 4x/4=16/4. x=4
Given f(x) = -x + 7, evaluate f(-2).
Answer:
f(x)=9
Step-by-step explanation:
f(x)=-(-2)+7
f(x)=9
Plot the line for the equation on the graphy,−5=3/2(x−2)
Answer:
The equation of the line is:
y - 5 = 3/2 (x - 2)
Transforming the line into the slope intercept form:
y = 3x/2 - 3 + 5
y = 3x/2 + 2
The slope is 3/2 and the y-intercept is 2.
Plotting this on the graph can be done using these steps:
Locate the point (0,2) on the graph.
From (0,2), count 3 units up and 2 units to the left and indicate that point.
Finally, connect the two points and extend the line.
A $55 pair of shoes was discounted 15% making a sale price $46.79 the discounted price was sent us Canada game by 10% explain how you would find the final price of the shoes?
Answer:
A $55 pair of shoes was discounted 15% making a sale price $46.79 the discounted price was sent us Canada game by 10% explain how you would find the final price of the shoes?
what is the time 5
Which statement is true?(n+4)-7=18
Answer:
21
Step-by-step explanation:
(21 plus 4)=25
25 minus 7=18
~~~How I got 21~~~
I find the number that will be reasonable like 20 and work my way up
~~~Hope this helps~~~
Answer:
[tex](n+4)-7=18 \\ n = 18 + 7 - 4 \\ n = 21.[/tex]
Find the domain for f(x) = 2x + 9
Answer:9
Step-by-step explanation:Set x to 0 and the answer is 9
Xavier plays an online video game that allows him to control many different characters. Each character starts the game with 200 gold coins and receives 30 gold coins for each month that passes within the game. If Xavier controls 50 characters and the numbers of months passed within the game is represented by x which function can be used to determine the total number of gold coins that Xavier has collected in the game
Answer:
c
Step-by-step explanation:
Answer:
Step-by-step explanation:
The question is.
Xavier plays a video game that allows him to control many different characters.
Each character starts the game with 200 gold coins.
Each character receives 30 gold coins for each month that passes within the game.
Xavier controls 50 characters in the video game.
Which function shows the relationship between A(x), the total number of gold coins that Xavier has collected playing the game, and x, the number of months that have passed within the video game?
Your answer would simply be C. A(x) = 50(30x + 200)
Because, your basicaly puting it in an equation, and pluse i got it right on my test so yea
What is the constant in the equation
7
x
+
5
=
y
?
Answer:
7,and 5
Step-by-step explanation:
Bc a constant is the part of equation that contains a proper value.
Multiply the polynomial expressions.
-3x*(2x2 - 4x + 1)
Answer:
-15
Step-by-step explanation:the
3g + 5 = 7g + 4 asap and please show work!!!!
The solution of the equation 3g + 5 = 7g + 4 will be 1/4.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The equation is given below.
3g + 5 = 7g + 4
Simplify the equation, then we have
3g + 5 = 7g + 4
- 7g + 3g = 4 - 5
- 4g = - 1
g = (-1) / (-4)
g = 1 / 4
The solution of the equation 3g + 5 = 7g + 4 will be 1/4.
More about the solution of the equation link is given below.
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In the election for class president, John received 25 votes, and Luke received 10 votes. Express the relationship of John's votes to Luke's votes as a reduced ratio.
Answer
5:2 5/2 5 to 2
Step-by-step explanation:
GCF of 25 and 10 is 5.
25/5 = 5 | 10/5 = 2
you can express ratios with a colon symbol, "to", or a fraction.
Since it's John to Luke it should be the answer above.
A school is purchasing new athletic uniforms for the basketball team. Each uniform costs the school $50.00. The school pays a $80.00 flat shipping fee. If the school spends $830.00 on the order, how many uniforms, did they purchase? a. Write the equation to solve the problem. b. Find the solution
Answer:
15 uniforms.
Step-by-step explanation:
830-80=750/50=15 : )
what number is rational?
Answer:
0.33333333333333
Step-by-step explanation:
which expression is equivalent to this polynomial expression? (2x2-3y2)(4x4+6x2y2+9y4)
Answer:
8x^6-27y^6
Step-by-step explanation:
simplify the expression
Which expression is equivalent to 2(4f+2g)
Answer:
8f+4g
Step-by-step explanation:
distribute the 2 to 4f and 2g. Thats all you can do to the expression tho
HELP ASAP This is very hard
Answer:
- 11/5
decimal : -2.2
mixed number -2. 1/5
4z-10=14 *
I can’t get the answer please help
Answer:
z = 6
Step-by-step explanation:
4z - 10 = 14
+ 10 +10
4z = 24
24 ÷ 4 = 6
n = 6
Which statement is true about the graphs of the two lines y = x + 2 and y = x ?
Answer:
I'm going to guess a statment since you didn't provide any
they both have a slope of 1x
Step-by-step explanation:
A plane took 1 hour and 10 minutes to fly from Riyadh to Jeddah.
The plane arrived in Jeddah at 23 05.
At what time did the plane depart from Riyadh?
Answer:
21:55
Step-by-step explanation:
First u have to take 23:05 and subtract 10 minutes which gives u 22:55 then u have to subtract a 1 hour that will give you 21:55 as your answer.