Answer:
The amount of Polonium-210 left in his body after 72 days is 6.937 μg.
Step-by-step explanation:
The decay rate of Polonium-210 is the following:
[tex] N(t) = N_{0}e^{-\lambda t} [/tex] (1)
Where:
N(t) is the quantity of Po-210 at time t =?
N₀ is the initial quantity of Po-210 = 10 μg
λ is the decay constant
t is the time = 72 d
The decay rate is 0.502%, hence the quantity that still remains in Alexander is 99.498%.
First, we need to find the decay constant:
[tex] \lambda = \frac{ln(2)}{t_{1/2}} [/tex] (2)
Where t(1/2) is the half-life of Po-210 = 138.376 days
By entering equation (2) into (1) we have:
[tex] N(t) = N_{0}e^{-\frac{ln(2)}{t_{1/2}}*t}} = 10* \frac{99.498}{100}*e^{-\frac{ln(2)}{138.376}*72} = 6.937 \mu g [/tex]
Therefore, the amount of Polonium-210 left in his body after 72 days is 6.937 μg.
I hope it helps you!
Please I need some answers
hey y'all I need help writing this as a slope I so lazy
Answer:
1/2 that is the right answer
I don’t know what this is or have any idea how to do it can someone help and explain
Answer:
w = -13
Step-by-step explanation:
Since BC bisects <ACD, then <ACB = <BCD.
We know that those two angles must equal 108 because 180-72=108.
Half of 108 is 54.
<BCD is the same as the same as the angle that equals 2w+80, so
2w+80=54
2w=54-80
2w=-26
w=-13
Please, this is due tomorrow!!! Boyle's Law in chemistry states that when the temperature is constant, the pressure of a gas is inversely proportional to its volume. Let p represent the pressure, and let V represent the volume of the gas. At a certain temperature, V = constant/p. By what factor does the volume of the gas change if the pressure changes by each given factor?
a. 2
b. 3
c. 4
d. 5
Jerry is taking care of a vacant lot in his neighborhood. There are approximately 64 thistle weeds m the local
He decided to try a homemade weed killer his grandmother suggested. Five weeks later, the thistles have
decreased by 75%. Approximately how many thistles are in the vacant lot now?
Answer:
16
Step-by-step explanation:
To be able to find the number of thistles that are in the vacant lot now using the information provided, you have to calculate the 75% of 64 and then, subtract that number from 64:
64*0.75=48
64-48=16
According to this, the answer is that there are 16 thistles in the vacant lot now.
What is the slope of a line that is perpendicular to the
line shown on the graph?
Answer:
D or four
Step-by-step explanation:
The slope of a perpendicular line is always the reciprocal of the first lines slope :) have a nice day!
Plz help! Is this right? Question is below!
Answer:
500m
Step-by-step explanation:
This question is really asking for the perimeter of the rectangle. The two of the longest sides is 14 units, the other 2 are 11 units. 14 + 14 + 11 + 11 = 50 units/ 1 unit is 10m, so 50 by 10 is 500, 500 meters.
What is the slope of (-2,-6) and (-7,-5)?
Answer:
= -1/5
Step-by-step explanation:
To find the slope we use
m = ( y2-y1)/(x2-x1)
= ( -5 - -6)/(-7 - -2)
( -5 +6)/(-7 +2)
1/-5
= -1/5
Answer:
-1/5
Step-by-step explanation:
Y2 - Y1 / X2 - X1
-6 - -5 / -2 - -7
Convert: -6 + 5 / -2 + 7
-1/5
Hope that helps!
George’s age is three times that of his brother. When you add George’s age to his brother’s, you get 24. How old is each brother?
a) Write an equation that represents the situation. Explain any variable used.
b) Solve the equation from Part (a). Show your work. State your solution as a complete sentence.
Answer:
G=18
Step-by-step explanation:
George-G
1/3G+G=24
4/3G=24
3/4*4/3G=24*3/4
G=18
George will be 18 years old there we can find his brothers age by dividing it by three thus 18/3=6
Answer:
George is 18 and his brother is 6
Step-by-step explanation:
let the brother's age be n then George's age is 3n ( 3 times his brother's age )
n + 3n = 24 ( sum of their ages )
4n = 24 ( divide both sides by 4 )
n = 6
and 3n = 3 × 6 = 18
George is 18 years old and his brother is 6 years old.
1.) The following figures are congruent. What side corresponds to side CD?
a. Side WX
b. Side ZX
C. Side YZ
d. Side WY
Answer:
C Side ZX
Because ZX is a reflection of CD
PLZ HELP!
in a survey, 25 out of 200 students are planning to vote for Susie for class president. If there are 1,000 students voting, how many votes would Susie expect?
Answer:
125 votes
Step-by-step explanation:
Set up a proportion.
[tex]\frac{25}{200} =\frac{x}{1000}[/tex]
Cross-multiply. Solve for x.
[tex]25,000=200x\\25,000/200 = 200x/200\\125=x[/tex]
Susie can expect 125 votes.
Why can you use Linear Pairs and Vertical Angles to prove lines are parallel?
Answer:
The reason why linear pairs and vertical angles are used to prove lines are parallel is because they area transversal drawn through the parallel lines will form angles on each of the two parallel lines including;
1) Supplementary linear pairs and
2) Vertical angles
3) Alternate angles
Given that either;
a) The corresponding angles that form the linear pairs are congruent
b) The corresponding vertically opposite angles are congruent
c) The corresponding alternate angles are congruent, we have;
The two lines are said to be parallel.
Step-by-step explanation:
What is linear equation
Answer:
An equation that makes a straight line when it is graphed. Often written in the form y = mx+b. Equation of a Straight Line
Step-by-step explanation:
hey, I need the answer asap An amusement park charges $120 for a one-week pass. If the pass is put on sale at a 25% discount, what is the amount of the sale price of the pass?
Answer:
It costs $90 dollars afterwards.
Step-by-step explanation:
slope of (-7,8) (-7,5)
Convert to Slope-Intercept Form to graph 4x+3y=9
Please show the two points
The line of the equation in the Slope-Intercept Form would be; y=-4/3x+3
How to get the slope-intercept form of a straight-line equation?If the slope of a line is m and the y-intercept is c, then the equation of that straight line is given as y = MX +c. To find the slope of a line, the rate at which the value of 'y' is increasing as we increase the value of 'x' by one unit.
Given that 4x+3y=9
Thus, 4x+3y=9
Subtract 4x on both sides;
4x -4x + 3y = 9 -4x
Now divide by 3 on both sides
3y= -4x+9
Then we get;
y=-4/3x+3
Hence, the line of the equation in the Slope-Intercept Form would be; y=-4/3x+3
Learn more about slope here:
brainly.com/question/2503591
#SPJ2
write the sum as the product of the GCF and another sum of 48+64
If 8 miles denotes 8 miles due north what denotes 5 miles due south
Answer:
15
Step-by-step explanation:well, if 8x^8 goes north, and 5 miles south the answer would be 15 because 8x^8 N and 5 miles S using the phemols, it would be 15.
2(7-3)+4(10÷2) use the oder of operations to simplify
Answer:
the answer is 28
Step-by-step explanation:
2×4+4+5
8+20
28
x+2=6x-18
WHAT NUMBER IS X
Answer:
x=4
Step-by-step explanation:
hope this helps!
Find the value of X. Then find the measure of each labeled angle.
Answer:
x=118, top right angle is 118, bottom right is 62, bottom left is 90, and top left is 90
Step-by-step explanation:
1. since a quadrilateral's andles sum up to 360, these must sum up to 360
2. since the two sides (top and bottom) are parallel, the bottom left and top left angles add up to 180 (it's a conjecture)
3. this means that (x-56) + x+ 90 + (180-90)=360
4. simplify: 2x + 124 = 360
5. solve: x= 118
6. this means top right angle is 118, bottom right is 62, bottom left is 90, and top left is 180-90=90
A car has a 16-gallon fuel tank. When driven on a highway, it has a gas mileage of 30 miles per gallon. The gas mileage (also called "fuel efficiency") tells us the number of miles the car can travel for a particular amount of fuel (one gallon of gasoline, in this case). After filling the gas
tank, the driver got on a highway and drove for a while.How many miles has the car traveled if it has 10 gallons of gas left in the tank?
and write an equation that represents the relationship between the distance the car has traveled in mikes, d, and the amount of gas left in the tank in gallons, x
Answer:d=(16-x)30
Step-by-step explanation:
The car traveled 600 miles if it has 10 gallons of gas left in the tank.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that is equal.
To determine the equation that represents the relationship between the distance traveled by car and the amount of gas left in the tank.
Let the distance traveled by car would be d miles,
and the amount of gas left in the tank would be x gallons
Since the car had a 16-gallon fuel tank
So the amount of gas left in the tank would be 16 - x
When driven on a highway, it has a gas mileage of 30 miles per gallon.
To find the equation of the distance we have to calculate the product of gas left in the car and the mileage of the car.
So the required equation as:
⇒ d = (16-x)30.
If it has 10 gallons of gas left in the tank
Substitute x = 10 in the above equation, we get
⇒ d = (16-10)30.
⇒ d = (20)30.
⇒ d = 600.
Therefore, the car traveled 600 miles if it has 10 gallons of gas left in the tank.
Learn more about the equation here:
brainly.com/question/10413253
#SPJ2
Elmer had $125.35 saved up. He wanted to buy a surf board that costs $400. On his way to work to saw some snorkel gear and bought it for $59.99. Now how much money does he need to save in order to buy the surf board? *
Answer:
334.64
Step-by-step explanation:
what is 3298.96907216 to the nearest thousand
Answer:
3298.96907216 is nearest to 3000
बच्चे को पाला
please figure this out i cannot translate from hindi so please use google
Answer:
Nursed baby
Step-by-step explanation:
Given the function:
f (x) = (3 x + 4) minus (2 minus x)
Evaluate for f (5).
a.22
b.15
c.16
d.30
Answer:
A
Step-by-step explanation:
Please can someone help me
32 ounces of maple syrup for $3.99 OR 48 ounces of syrup for $4.99
Answer:48-32=16 so you get 16 more oz. of maple syrup for $1 more so the answer is 48 ounces for $4.99.
Step-by-step explanation:
what is 5*5+100-99*76
Answer:
-7399
Step-by-step explanation:
mark me brainiest please
Answer:
-7399
Step-by-step explanation:
5*5+100-99*76
25 + 100 - 7524
= -7399
2) Eight is 5 less than
twice the number R.
Answer:
8-5 times R
Step-by-step explanation:
you subtract 8-5 to get that answer and then you do less than twice the number r i think this is correct hope it helps :)