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
The line of which equation passes through points (0,6) and (4,-1)
Answers
Answer:
y=-7/4x+6
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-1-6)/(4-0)
m=-7/4
y-y1=m(x-x1)
y-6=-7/4(x-0)
y-6=-7/4(x)
y-6=-7/4x
y=-7/4x+6
Find the surface area of the cone. Use 3.14 for π.
Answers
Answer:
S.A. = 138.16
Step-by-step explanation:
S.A. = πrl+πr²
3.14 x 4 = 12.56
12.56 x 7 =87.92
3.14 x 4 = 12.56
12.56 x 4 = 50.24
87.92 + 50.24 = 138.16
Let me know if this helps!
what is 5^2 simplified
Answers
Answer:
25
Step-by-step explanation:
Which exponential expression is equivalent to the one below? (6x3)^5
25 POINTS!!!!!!
Answers
Answer:
D) 6^5 · 3^5
Step-by-step explanation:
(6 · 3)^5 = 1889568
A) WRONG
(5 · (6 · 3)) = 90
B) WRONG
9^5 = 59049
C) WRONG
6 · 3^5 = 1458
D) CORRECT
6^5 · 3^5 = 1889568
does this function equal 4 on the interval [4, 5]?
[tex] \frac{10 \cos(xπ) }{x-2} [/tex]
Answers
=- No way
Step-by-step explanation:
I just wanna make sure i’m doing this right
Answers
Answer:
175%
Step-by-step explanation:
The first one is a whole=1
the second one is cut in four but only 3 are shaded so 1/4=0.25 0.25*3=0.75
3/4/0.75 is shaded
so 1+0.75=1.75
1.75=175%
if (1x2y6z) is a number divisible by 9 , then what os the least value of x+ y+z ?
Answers
Given:
Number 1X2Y6Z is divisible by 9.
To find:
The least value of X+Y+Z = ?
Solution:
First of all, let us learn the divisibility rule of 9.
A given number will be divisible by 9 if and only if the sum of digits of the given number is also divisible by 9.
For example:
Let us consider a number 923463.
The sum of digits = 9 + 2 + 3 + 4 + 6 + 3 = 27
27 is divisible by 9 so the number 923463 will also be divisible by 9.
Let us consider another example 8972.
Sum of digits = 26
26 is not divisible by 9 so the number 8972 will also be not divisible by 9.
Now, we are given the number 1X2Y6Z.
Sum of digits = 1 + X + 2 + Y + 6 + Z = 9 + X+Y+Z
The number 1X2Y6Z will be divisible by if 9+X+Y+Z is divisible by 9.
The least value of X+Y+Z can be zero, so the sum of digits = 9 + 0 = 9
which will make the number 1X2Y6Z divisible by 9.
So, the answer is:
Least value of X+Y+Z = 0 so that the number 1X2Y6Z is divisible by 9.
9514 1404 393
Answer:
0
Step-by-step explanation:
For a number to be divisible by 9, the sum of the digits must be divisible by 9. The given digits total 9, so x+y+z must be a multiple of 9. The least possible multiple of 9 is 0.
The least value of x+y+z is 0.
_____
102060/9 = 11340
Can someone please help me with this it’s really important
Answers
Answer: i would say 30 + 20 - 10 - 20 - 0
sorry if i am wrong
Step-by-step explanation:
What is the equation that you get when you put together the two
equations below?
Answers
Answer:
1st option
Step-by-step explanation:
Given the 2 equations
2x + 5y = 19 → (1)
y = 3x - 3 → (2)
Substitute y = 3x - 3 into (1)
2x + 5(3x - 3) = 19
Find the value of x.
Please help me
Answers
which of the following equations has no solutions?
Answers
Answer:
all if you don't answer them
Q1 - What is the area of a circle with a diameter of 6.2 inches?
Q2 - A round table has a radius of 15in a round tablecloth hangs 2in over the edge of the entire table.what is the area of the tablecloth
Answers
Answer:
Q1; 124.72
Sorry I don’t understand the second one
Step-by-step explanation:
Topher has of a whole pizza. How many 's of a whole pizza are there in of a whole pizza?
Answers
Answer:
huh
Step-by-step explanation:
What are the values of x and y if you answer is not a whole number write it as a decimal and round if neccasasry
Answers
a) 3x + 5y = 26
b) 2x + 2y = 12
First, we need to find a way to equate either the x terms or the y terms in each equation. a) 6x + 10y = 52
b) 6x + 6y = 36
Then take equation b) from the equation a) to eliminate the x component.
a) 6x + 10y = 52
- b) 6x + 6y = 36
0x + 4y = 16
y = 4 ?
Then substitute the value of y into either equation to find the value of x.
b) 2x + 2y = 12
2x + (2x4) =12
2x + 8 = 12
2x = 4
x = 2
I hope this new information i read helps you maybe understand it and as an example!
what is the solution to the problem
x + 8.63 = 11.001
Answers
Answer:
x=2.371
Step-by-step explanation:
Subtract 8.63 from both sides
x+8.63-8.63=11.001-8.63
x=11.001-8.63
x=2.371
guyss help plss i need serious answer I'm buriéd with work plss beg :(
Answers
Answer:
solution given:
B.
CE=2×2=4[base side is double to the line of mid point]
AB=15/2=7.5[b is a mid point]
m<AEC=75°[ corresponding angle]
5.
given:
BD=x+1
CE=x+10
we have
2BD=CE
2(x+1)=x+10
2x+2=x+10
2x-x=10-2
x=8
Put in order from least to greatest
5.670
56.72
56.27
Answers
Answer:
5.670, 56.27,5.72.
Step-by-step explanation:
All you do is pay attention to that decimal and remember that the places where the numbers are present; they are invisible zero so,
56.72 is the same as 56.720000.
It's pretty clear for this question since the numbers are clear so all you do is look at the decimals.
Sarah used 3.25 meters of fabric to make a costume. How many centimeters of fabric did she use?
Answers
Answer:
325 centimeters
Step-by-step explanation:
Find the volume of a cylinder with a diameter of 14mm and a height of 3.4mm Round to the nearest tenth.
Answers
Answer:
V≈5.23×10-7m³
Step-by-step explanation:
V=π(d
2)2h=π·(0.014
2)2·3.4×10-3≈5.23389×10-7m³
Answer: 523.1 mm^2
You first want to find the radius for the volume of cylinder formula. You first do 14 divided by 2 to get the radius. You should get 7. Then after you find the radius you then put it into the formula which is v=3.14 x radius^2 x height. The equation with all the numbers from the problem is 3.14 x 7^2 x 3.4. After you put the equation into your calculator you should get 523.1 mm^2.
[tex]4(3-5x)=15-(8x-25)[/tex]
Answers
Exact form: x= -7/3 _
Decimal form: x= -2.3
Mixed number form: -2 1/3
Maria needs to be at the airport terminal at 12:10. it will take 2 and 1/2 hours to drive to the airport from her home, and a further 20 minutes to park and get to terminal. give your answer as a time in the 24 hour clock
Answers
Answer:
Maria needs to start at 9:20 in order to make it to the terminal.
Step-by-step explanation:
2:30 + 0:20 = 2:50. 12:10 - 2:50 = 9:20.
Find the area of the square pyramid represented by this net. 6 cm 4 cm
Answers
64 cm
(Pls brainliest)
Which expressions are equivalent to 4/7x + 4?
A. 1 + 3/7x +3
B. 5/7x - 1/7x + 4
C. 3/7x + 4 1/7x
D. 1 + 4/7x + 3
E. 1 + x/7 + 3
F. 3/7x + 4 4/7x - 1
Answers
Answer:
4+28x
_____
7x
i think...
Triangle STU is rotated 270 clockwise about the origin to create triangle S'T'U'. If point U of triangle STU is a (a,b), which algebraic representation best describes point U' of triangle S'T'U'?
Answers
Answer:
(b, -a)
Step-by-step explanation:
First note that the rule for a rotation by 270° about the origin is (x,y)→(y,−x)
Note that the coordinates were swapped and the x coordinates negated. Similarly;
Given the coordinate of the point U as (a, b), if the triangle is rotated 270degrees clockwise, the resulting coordinate will be (b, -a)
Using the net below, find the surface area
of the pyramid.
4cm
2 cm
12 cm
Surface Area
=
[?] cm2
Enter
Answers
Answer:
everything is in the picture
us
Find the point-slope equation for
the line that passes through the
points (-6, 24) and (5, -31). Use
the first point in your equation.
Answers
Answer:
first box is 24
second is -5
third is -6
Step-by-step explanation:
write an expression for the number of days in y hours.
Answers
Answer:
The number of days in y hours is y/24
Step-by-step explanation:
Here, we want to write an expression
Mathematically;
1 day = 24 hours
? days = y hours
? days = (y * 1)/24
? days = y/24
Smart people of Brainly who know math
Plot function G on the graph
(Picture provided)
Answers
Answer:
Down below
Step-by-step explanation:
The graph is attached to the answer.
What is function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
Given is a function,
g(x) = -3, -8≤x-2
1, -2≤x≤4
5, 4≤x≤10
The function g(x) is a discrete function. It is continuous between -8 to -2, -2 to 4, and 4 to 10.
And the open circle at -8, -2, 4, and 10.
More about the function; click,
brainly.com/question/5245372
#SPJ2
HELP!! I have been stuck on these questions forever! Im having to multiply or devide in scientific notation. Im having to find the sum or difference. I will mark brainiest.
Answers
The two legs of a right triangle measure 7 inches and 5 inches. Find the measure of the acute angle that is included between the longer leg and the hypotenuse. WILL GIVE BRAINIEST TO FIRST RIGHT ANSWER
Answers
Answer:
44.4 degrees
Step-by-step explanation:
Given the following
Hypotenuse = 7
Longer leg = 5 (adjacent])
Let the acute angle angle between both sides be x
According to SOH CAH TOA
Cos theta = adj/hyp
Cos x = 5/7
x= arccos (5/7)
x = arccos (0.7143)
x = 44.4degrees
Hence he measure of the acute angle that is included between the longer leg and the hypotenuse is 44.4 degrees