A 256- gallon barrel of radioactive Urikium is spilled at a factory. The entire area is evacuated. Experts say that the area can be deemed safe after only 2 gallons remain. Unfortunately, it is to toxic for any clean-up efforts, so residents will just have to wait for the Urikium to evaporate. Fortunately, Urikium has a half-life of only three hours. That means that half of the Urikium will evaporate every three hours
Answers
Answer:
21 hours
Step-by-step explanation:
Since 2^8 = 256, that means it will take 7 half-lives to become two gallons
7 half-lives * 3 hours = 21 hours
256, 128, 64, 32, 16, 8, 4, 2
Answer:
Experts say that the area can be deemed safe after only 2 gallons remain. Unfortunately, it is too toxic for any clean-up efforts. She residents will
Step-by-step explanation:
To solve half-life problems, you use the equations:
f(t) = T0 (1/2)^(t/t1/2). where T0 is the initial mass and T1/2 is the half-life.
So we get f(20)= 5 = T0•(1/2) ^ 20/11
T0 = 17.63 mg
For the second part of the question, we plug 0.5 mg into the equation:
0.5 = 17.63 • (1/2)^ t/11
t = 56.5 days
Related Questions
Unit test
Find the value of s in the triangle shown below.
33°
cº
103
Answers
Answer:
x = 44
Step-by-step explanation:
x + 33 + 103 = 180
x + 136 = 180
x = 44
Reduce the fraction to its simplest form
24/42 hurry please I have no clue lol
Answers
It should be 4/7 ! If I'm wrong I apologize- but I hope this helps :)
Answer:
4/7 :)
Step-by-step explanation:
I need to know what the answers are and show work. Please help me! And thank you!
Answers
Answer:
x=29
∠C=93°
Step-by-step explanation:
180°-52°-35°=3(x+2)°
180°-87°=(3x)°+6°
93°=(3x)°+6°
(3x)°=87°
x=[tex]\frac{87}{3}[/tex]
x=29
∠C=3(x+2)°
=3(29+2)°
=3(31)°
=93°
2) Give two names for a
triangle with all 3 sides
having the same length.
Answers
is named congruent triangle
not sure for the other one
The harper family budgeted 37% of their income of $53000 for taxes. How much did they budget for taxes?
Answers
Answer: $19,610
Step-by-step explanation:
53000(.37)=19610
MMM HAYYY help me with this pls cus I need help :|.
Answers
Answer:
B-17
Step-by-step explanation:
all the student in the 0 cullum don't count. If you add everyone else up you get 17.
Brainliest?
Answer:
B=17
Step-by-step explanation:
since zero hours counts as no one volunteering we can conclude that Section 0 needs to be erased so it is 17
Express (x + 9)2 as a trinomial in standard form.
Answers
Answer:
Step-by-step explanation:
Answer:
[tex] {x}^{2} + 18x + 81[/tex]
Step-by-step explanation:
[tex](x + 9) {}^{2} [/tex]
Apply foil method.
[tex](x + 9) {}^{2} = (x + 9)(x + 9)[/tex]
Multiply the first terms, X
[tex]x \times x = {x}^{2} [/tex]
Multiply outer terms, 9 and x.
[tex]x \times 9 = 9x[/tex]
Multiply inner terms,
[tex]9 \times x = 9x[/tex]
Multiply outer terms.
[tex]9 \times 9 = 81[/tex]
Add the inner and outer terms
[tex]9x + 9x = 18x[/tex]
Write in standard form
[tex] {x}^{2} + 18x + 81[/tex]
I'll mark branliest, also I need work shown please!!!
A baseball is thrown up in the air. The table shows the heights y (in feet) of the baseball after x seconds. Write an equation for the path of the baseball. Find the height of the baseball after 1.7 seconds.
Answers
The equation of an object in free fall is the equation of a parabola
The equation for the path of the ball is y = -16·x² + 36·x + 4The baseball height, after 1.7 seconds is 18.89 feet.
The reason the above values are correct are as follows:
The known parameters are;
The direction of the baseball is up in the air
The values of the height of the baseball after x seconds is given as follows;
[tex]\begin{array}{ccc}\mathbf{Time, \ x}&&\mathbf{Baseball \ height, \ y}\\0.5&&18\\1&&24\\1.5&&22\\2&&12\end{array}\right][/tex]
Required;To write the equation for the path of the baseball
Solution:
The general equation of the motion of free fall is the equation of a parabola, which can be written as follows;
y = a·x² + b·x + c
From the given table, we have;
18 = a·0.5² + b·0.5 + c = 0.25·a + 0.5·b + c
18 = 0.25·a + 0.5·b + c...(1)
24 = a + b + c...(2)
22 = 2.25·a + 1.5·b + c...(3)
12 = 4·a + 2·b + c...(4)
Subtracting equation (1), from (2), to get equation (5) and subtracting equation (3) from (4) to get equation (6) gives;
6 = 0.75·a + 0.5·b...(5)
-10 = 1.75·a + 0.5·b...(6)
Subtracting equation (5) from equation (6) gives;
-10 - 6 = 1.75·a - 0.75·a = a
a = -16
From equation (5), we get;
6 = 0.75 × (-16) + 0.5·b
b = (6 - 0.75 × (-16))/0.5 = 36
b = 36
From equation (2), we get;
24 = (-16) + 36 + c
c = 24 - ((-16) + 36) = 4
The equation for the path of the ball is y = -16·x² + 36·x + 4
Required;The height of the baseball after 1.7 seconds
Solution:
The height, y, of baseball after 1.7 seconds is given by substituting for the time x = 1.7 in the equation of the baseball as follows;
After 1.7 seconds, y = -16 × 1.7² + 36 × 1.7 + 4 = 18.89
The height of the baseball y, after 1.7 seconds is 18.89 feet.
Learn more about motion of an object in free fall here:
https://brainly.com/question/14113699
hii please help i’ll give brainliest
Answers
Answer:
0.5
Step-by-step explanation:
does anyone know the answer to this?
Answers
Answer:
Step-by-step explanation:
What is the value of –16 (-5=23)?
Answers
Answer: i need points ty
Step-by-step explanation:
hhhhh
Find the volume of each solid
Answers
Answer:
the answer is
13 cm:y
5 cm:x
2 cm:z
which is equivalent to y=(x-4)(x-2)?
1.y=x^2+2x-8
2.y=x2+6x+8
3.y=x^2-6x+8
4.y=x^2-2x-8
Answers
Answer:
C
Step-by-step explanation:
6/1000 is equal to...
A 0.0006
B 0.006
C 0.06
D 0.6
E 6000
Answers
Answer: B
0.006
Step-by-step explanation:
Answer:
B. 0.006
Step-by-step explanation:
for 6/10 it would be 0.6, 6/100 is 0.06, and 6/1000 is 0.006. Also the way you would say 6/1000 is either six over one thousand or six thousandths which is also how you would say 0.006.
i hope this helps!
I will give brainiest help pls
Answers
Answer:
it could be the 5th one !!
PWEASE HELP ME, AREA OF A CIRCLE
Answers
Answer:
Step-by-step explanation:
A= πr2 = π·72 ≈153.93804
Step-by-step explanation:
The formula for an area of a circle is: π[tex]r^{2}[/tex]
In this instance you are using 3.14 for pi.
3.14 ([tex]7^{2}[/tex])= 153.86
Area= 153.86[tex]ft^{2}[/tex]
What is the sum of (5x - 10) and (-X + 8) ?
Answers
Answer:
4x-2
Step-by-step explanation:
(5x-10)+(-x+8)
5x-10-x+8
5x-x-10+8
4x-10+8
4x-2
Therefore, the sum is 4x-2
Answer:
4x - 2
Step-by-step explanation:
(5x - 10) + (-x + 8)
To solve this problem, one must simplify, combine like terms. One can only combine a variable unit with another variable unit, likewise, one can only combine a constant (numerical term) with another constant.
(5x - 10) + (-x + 8)
= 5x - 10 - x + 8
= 4x - 2
29*9
It's too short. Write at least 20 characters to get a great answer.
Answers
Answer:
261
Step-by-step explanation:
ILL GIVE BRAINLEIST!!
Find the sum of the given arithmetic series:
104 + 101 + 98+...+14
A. O 1820
B. O 1786
C. 1829
D. O 1926
Answers
Answer: 317
Step-by-step explanation:
Destiny makes earrings and bracelets to sell. She makes a profit of $15 for
every pair of earrings she sells and a $12 profit for every bracelet she sells
The cost of making one pair of earrings is $4 and the cost of making one
bracelet is $6. She only has $36 she can spend this week to make her
merchandise. She knows she wants to make at least 8 pieces of
merchandise to sell this week. What is the maximum profit she can make
based on these constraints? (If you do not have access to graph paper to
complete this problem, you can use Desmos to graph the constraints.
Remember the steps, 1. Define Variables, 2. List Constraints, 3. Graph and
shade feasible region, 4. Plug in vertices to objective function to find
maximum profit) *
Answers
Answer:
$135
Step-by-step explanation:
She would make 9 pairs of earrings, they have the least cost and the highest profit. No other combination would yield a higher profit.
Please tell me the answer to X. I really need your help. I'll even give you Brainliest if you give a proper answer with no download links. You should also give an explanation.
Answers
Answer:
6
Step-by-step explanation:
expand
x-7= 1/4x-10/4
3/4x=18/4
multiply 4 on both sides to get rid of the denominator
3x=18
x=6
check work by substituting
6-7= 1/4(6-10)
-1= 1/4(-4)
-1=-1
they are equal, so it's correct
The price of pants is bigger than the price of a shirt by 4$.
Mike bought 10 shirts and 5 pants.
Mike payed 20$ more for the shirts than the pants.
How much does a shirt cost?
How much do pants cost?
Answers
Answer: A shirt costs $8 and the pants cost $ 12.
Step-by-step explanation:
Let x = Cost of each shirt, y = Cost of each pant.
As per given, we have
[tex]y-x=4 \ \ \ (i)\\\\ 10x-5y = 20\ \ \ (ii)[/tex]
Multiply 5 on both sides of (i), we get
[tex]5y-5x=20 \ \ \ (iii)[/tex]
Add (ii) and (iii), we get
[tex]5x=40\\\\\Rightarrow\ x=8[/tex]
From (i), y=4+8=12
Hence, a shirt costs $8 and the pants cost $ 12.
find the area of the shaded part
Answers
Answer:
Step-by-step explanation:
the easiest thing to do is to make the half squares which you have 4 into 2 whole squares then base times height
4x3=12
Answer:
26cm²
Step-by-step explanation:
Alrighty, let's go count squares:
On the top row, there's 4 (adding the halves together), on the second row there's 5, and on the bottom row there's also 4, so we add that all together to get:
4 + 5 + 4 = 13
But, because each square is 2 cm, we have to multiply:
13 x 2 = 26
So, the area of the shaded section is 26cm²
hope this helps:)
Andre wrote the expression −3+6x÷5 to represent the relationship shown in the table. Find two other expressions that also represent the relationship shown in the table. Select all that apply.
A.
5÷(−3)+6x
B.
6x−3
5
C.
6x÷5+(−3)
D.
(−3+6)+x÷5
E.
6
5x−3
F.
3+(−6x÷5)
Answers
Answer:
C is the correct answer
Step-by-step explanation:
Lauryn grew p tomato plants. Padma grew 5 fewer than 3 times the number Lauryn grew. Kent grew 6 more than 4 times the number Lauryn grew. Choose an expression and a simplified expression to represent the total number of tomato plants that Lauryn, Padma, and Kent grew. Select all that apply.
Answers
Answer:
A. p + (3p – 5) + (4p + 6)
D. 8p + 1
Step-by-step explanation:
A. p + (3p – 5) + (4p + 6)
B. p + (5 – 3p) + (6 + 4p)
C. p + 11
D. 8p + 1
E. 7p – 1
Lauryn = p tomatoes
Padma = (3p - 5) tomatoes
Kent = (4p + 6) tomatoes
Total number of tomato plants that Lauryn, Padma, and Kent grew = Lauryn + Padma + Kent
= p + (3p - 5) + (4p + 6)
= p + 3p - 5 + 4p + 6
= p + 3p + 4p - 5 + 6
= 8p + 1
Total number of tomato plants that Lauryn, Padma, and Kent grew = 8p + 1
A. p + (3p – 5) + (4p + 6)
D. 8p + 1
If the measure of <1 = 37 degrees what is the measure of <3
Answers
Answer:
x= 119
Step-by-step explanation:
All triangles have a sum of 180 degrees for all of their angles
so 180= 24+37+ x
x= 119
LOOKS EASY !! NO FILES/LINK THX
Answers
what can i add to 1,663,134 to make 2,148,431
Answers
Answer:
485297
Step-by-step explanation:
Use the diagram and proportional reasoning to
complete each statement.
The circumference of the entire circle is vt in.
The sector is of the circle.
The arc length is ut in
14.13
120°
Answers
Answer: the circumference of the entire circle is 28.26
The sector is 1/3 of the circle
The arc length is 9.42 in
ON EDGE
Answer:
The circumference of the entire circle is
28.26
π in.
The sector is
1/3
of the circle.
The arc length is
9.42
π in.
Step-by-step explanation:
Between 12:00 PM and 1:00 PM, cars arrive at a local bank's drive-thru at the rate of cars per hour ( car per minute). The formula below from probability can be used to determine the probability that a car will arrive within t minutes of 12:00 PM. Use this information to answer the questions given below in parts (a)(e).
Answers
Complete question :
Between 12:00 PM and 1:00 PM, cars arrive at Citibank’s drive-thru at the rate of 6 cars per hour (0.1 car per minute). The following formula from statistics can be used to determine the probability that a car will arrive within t minutes of 12:00 PM. F(t)=1−e^−0.1t
Determine how many minutes are needed for the probability to reach 80%.
Answer:
16.09 minutes
Step-by-step explanation:
Given the function :
F(t)=1−e^−0.1t
To attain 80% probability ; 80% = 0.8
0.8 = 1 - e^-0.1t
0.8 - 1 = - e^-0.1t
-0.2 = - e^-0.1t
Take the In of both sides
In(0.2) = In( e^-0.1t)
−1.609437 = - 0.1t
Divide both sides by - 0.1
−1.609437 / -0.1 = - 0.1t / 0.1
16.09 = t
Hence, the time it'll take will be 16.09 minutes
Answer:
80/100=0.80
.8=1-e^-0.3t
.8+1=-e^-0.3t
1.8=-e^-.3t
t=5.36
Step-by-step explanation: