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!
I need help fast please
Answer:
K= 18
Step-by-step explanation:
1 and 8 are exact opposites so they equal eachother
so
3k-7=5k+29
subtract 3k to 5k and add 7 to 29
2k=36
then divide 36 by -2
so K = 18
j(x)=−45x+7; j(x)=−5
Answer:
x = 4/15
Step-by-step explanation:
Step 1: Define
j(x) = -45x + 7
j(x) = -5
Step 2: Substitute and Evaluate
-5 = -45x + 7
-12 = -45x
x = 4/15
The cost to rent a rug-cleaning machine from the supermarket is $23 per day. The supermarket charges a check-out fee of $45 for the rental. Tristanne spent $137 to rent the rug-cleaning machine. If d represents the number of days Tristanne rents the machine, which equation can be used to find the value of d?
23 d = 137
23 d + 45 = 137
45 d = 137
45 d + 23 = 137
Answer:
23d + 45 = 137
Explanation:
Since it is $23 per day, that dollar amount must be associated with a variable that multiples it per day that it is rented. Finally, you need to add the one time $45. This equation can then be used to find how many days it was rented for.
23d + 45 = 137
23d = 92 (Subtract 45 from both sides)
d = 4 (Divide by 23 on both sides)
The rug-cleaning machine was rented for 4 days. You found this using the equation: 23d + 45 = 137
Answer:
its b
Step-by-step explanation:
i got it correct edge2020
HELLPPP 7th grade!!! ILL BRAINLIST LIST 15 points!!!
Answer:
maria : 1/3 =0.3 line on top of three
franco:1/4=0.25
Step-by-step explanation:
tried my best hope its right :)
Answer:
Maria: 1/3 cups for each gallon
Step-by-step explanation:
Maria: 2/3 for every 2 gallons. 2/3:2
Franco: 1 1/4 for every 5 gallons. 1 1/4/:5
Okay, so I'm actually going to do it my way.
Maria : [tex]\frac{2}{3} = 4/6\\\frac{4}{6} /2 =2/6[/tex]
So, I simply turn it into a bigger fraction and cut it in half!
So, Maria uses 1/3 of a cup for each gallon
Hope this will help you figure out Franco's!!!
what is equivalent to sq root -27
[tex]\sqrt{-27}=\sqrt{27}\sqrt{-1}=\boxed{3\sqrt{3}i}[/tex].
Result is a complex irrational number.
Hope this helps.
Pls help me ASAP PLS PLS PLS
Step-by-step explanation:
Hope it helps man .....
Answer:
J-¹(x)= x+6/5
or
J-¹(x)= x/5 + 6/5
Step-by-step explanation:
J(x)= 5x -6
•first separate your Y from the original equation like this
y= 5x-6
•second replace for x since we are talking about the inverse form
x= 5y-6
•third solve for y
x+6=5y-6+6
add 6 to both sides
x+6=5y
divide 5 to both sides
x+6/5=5y/5 (in your right side 5 cancels out)
it should look like this
x+6/5=y (you solved for y)
and now you write your answer like this
J-¹(x)= x+6/5
or
J-¹(x)= x/5 + 6/5
Solve the equation
(1/2)-sinx=1
Answer: #2. sin x (sin x + 1) = 0
sin x = 0 or sin x + 1 = 0
sin x = 0 or sin x = -1
Step-by-step explanation:
the value of x will be x = 210° and 330° for the given expression (1/2)-sinx=1.
What is an expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Given a equation (1/2)- sin x = 1
Simplifying the given expression
=> (1/2)- sin x = 1
subtract 1/2 on both sides
=> -sin x = 1/2
=> sin x = -1/2
=> x = 210° and 330°
For all x = 0 to 360°
Learn more about expression here:
https://brainly.com/question/14083225
#SPJ5
−7 + 3(r − 3) = 2(r − 1) please show work
Answer:
r=11
Step-by-step explanation:
3r-13=2r-2
3r-13+13=2r-2+13
3r=2r+11
3r-2r=2r+11-2r
r=11
Aunt Mae bakes 12 dozen muffins in 45 minutes. How long would it take her to bake 4 dozen muffins?
Answer:
15 minutes
Step-by-step explanation:
set up a proportion of dozens of muffins over minutes taken to make them. 12/45=4/x. Cross multiply to get 180=12x. 180 divided by 12 is 15.
What formula can you use to find the lengths of a base and height of a triangle
Answer:
W times H
Step-by-step explanation:
Lin is interested in how many of her classmates watch her favorite TV show, so she starts asking around at lunch. She gets the following responses: 4 YES and 10 NO. If she ask one more random classmate, do you think they will say "YES" or " NO"?
Answer:
They will probably say NO
Step-by-step explanation:
Add to find the total number of response.
10 + 4 = 14
Find the probability of someone saying yes or no.
4 / 14 ≈ 0.29 or 29%
10 / 14 ≈ 0.71 or 71%
As you can see, saying NO is more likely than saying YES.
Best of Luck!
find the value of x. PLEASE HELP
I need to show my work
Thank you!!!!!!
===============================
Work Shown:
2x+108 = 180
2x+108-108 = 180-108
2x = 72
2x/2 = 72/2
x = 36
-------
Notes:
The reason 2x and 108 add to 180 is because they form a straight angleIn step 2 above, I subtracted 108 from both sidesIn the second to last step above, I divided both sides by 2.The general steps to solving any equation is to follow PEMDAS in reverse to isolate the variable.Given : There is a line . It is divided into two parts by another line such that it forms two angles on two sides of the angle which are 2x° and 108° .
To Find : The value of x .
Solution : Given that the two angles are 2x and 108° . So , we know that the measure of a straight line is 180° . So the sum of the two angles will be also equal to 180°. That is ;
[tex]\large\boxed{\red{\bf \angle 1 + \angle 2= 180^{\circ}}}[/tex]
Where [tex]\angle[/tex]1 and [tex]\angle[/tex]2 are two angles .⇒ 2x° + 108° = 180° .
⇒ 2x° = 180° - 108° .
⇒2x° = 72°.
⇒ x =[tex]\sf \dfrac{72}{2}[/tex]
⇒ x = 36° .
Hence the value of x is 36° .
Can someone please help me ASAP I’ll mark brainlist!!!!?!?
If you have 1 cat,5 dogs, and 2 cows, how many feet you have.
Answer:
32
Step-by-step explanation:
4 + 20 + 8 = 32
hope this helped!!
An angle measures 70.2° more than the measure of its complementary angle. What is the measure of each angle?
A complementary angle of another angle is the angle that when you add it to that angle, you get 90 degrees.
For example, we have angle A. When we add the complementary angle of angle A, you get 90 degrees. :)
So, what we can do for this problem is create an equation! :)
x + 70.2° = "an angle"
x = complementary angle
Notice: I put the 70.2° to show the difference between the complementary angle and the angle itself.
Now, we can make an equation!
(x + 70.2°) + x = 90
2x = 19.8
x = 19.8/2
x = 9.9 degrees
One angle is 9.9 degrees, and the other angle is x + 70.2 = 9.9 + 70.2 = 80.1 degrees. We can see that when we add 9.9 and 80.1 we get 90 degrees, and when you minus 9.9 from 80.1, you get 70.2. :)
Ask any questions if you need. :)
equal sides of an isosceles triangle are given as 30 cm each if the perimeter of the triangle is 67 cm,find the third sides please help me answer please please please
Complete the sentence with the phrase that makes the proof statement true. Segment PR is perpendicular to segment QS. Angle QRP is a right angle A. by the definition of perpendicular. B. because angle Q is congruent to angle S. C. by the Reflexive Property of Equality. D. because PQR is an isosceles triangle.
Answer:
A. by the definition of perpendicular.
Explanation:
Indeed, in geometry, for lines to be termed as been perpendicular, it means that two lines met at a right angle (90 degrees).
From the attached image we could see that Segment PR is perpendicular to segment QS as it touches or meets with segment QS which follows the definition of perpendicular. Also, Angle QRP is a right angle because it is exactly 90 degrees.
How can you tell that the inequality 3t+1> 3t + 2
has no solution just by looking at the terms in the equality?
Answer:
see below
Step-by-step explanation:
3t+1> 3t + 2
Subtract 3t from each side
1>2
This is never true so there is no solution
Since the variable terms are the same, we only have to look at the constants
15 points!
What is the correct answer for Claire's problem? Explain where she went wrong.
Answer:
it would be y=50+25x
Step-by-step explanation:
There is an extra $25 per room, and since we dont know how many rooms she has cleaned, we can use x to represent that amount. So for x amount of rooms, it will be an extra $25
HELP I CANT GET A BAD GRADE
The gestation period is the length of the time it takes a baby mammal to develop before it is born. The gestation period of a horse is, on average, 336 days. About how many weeks is that? There are 7 days in a week.
A.
50 weeks
B.
60 weeks
C.
40 weeks
D.
5 weeks
Answer:
a. 50 weeks
Step-by-step explanation:
The poetry club had its first bake sale and they made 79.35 dollars. The club members are planning to have 4 more bake sales. Leslie said if we make the same amount at each bake sale we will earn 3,976.50 dollars. Peggy said no way we will earn 396.75 after bake sales. Use estimation to help Peggy explain why Leslie reasoning is incorrect.
Answer:
Peggy is correct, their total bakes sale = $396.75
Step-by-step explanation:
Using estimation to help Peggy explain why Leslie reasoning is incorrect.
From the question we can see that:
First bake sale they made = $79.35
4 more bake sales making the same amount = 4 × $79.35
The total amount they would make from the bake sales =
$79.35 + (4 × $79.35)
= $396.75
Peggy was right. Leslie's reasoning was incorrect.
if K is the midpoint of JL, JK = 8x+11 and KL =14x-1 , find JL
Answer:
x = 2
Step-by-step explanation:
Set the equations equal to each other, since JK + KL = JL
8x + 11 = 14x - 1 now solve
12 = 6x
2 = x
One yardstick for measuring how steadily—if slowly—athletic performance has improved is the mile run. In 1958, the local record for the running of a certain distance was 3 minutes, 59.3 seconds, or 239.3 seconds. In the half-century since then, the record has decreased by 0.5 seconds per year.
Answer:
They will hit 180 seconds in 118.6 year
Step-by-step explanation:
Let M be the record for the mile (in seconds)
Let x be the year after 1958
So, x=(year)-19548
We are given that In the half-century since then, the record has decreased by 0.5 seconds per year
So, slope = m = 0.5
Now we will use point slope form
y = mx+c
So, we can express M as,
[tex]M=239.3-0.5 \times x[/tex]
Now we are supposed to find when they will hit 180 seconds
Substitute M = 180 in equation
180=239.3-0.5x
x=118.6
So, they will hit 180 seconds in 118.6 year
A hiker starts hiking at the beginning of a trail at a point which is 200 feet below sea level. He hikes to a location on the trail that is 580 feet above sea level and stops for lunch.
a) What is the vertical distance between 200 feet below sea level and 580 feet above sea level?
b) How should we interpret the answer in the context of this problem?
jnhiujkijuuftdysedrtfhygjuioihugyfutdrserdcvhbjnkm
Answer:
poop
Step-by-step explanation:
poop
Bobby has a sister named Abbey. Bobby’s sister Abbey is 4 years older than 1/3 of Bobby’s age. a) Write an expression for Abbey’s age in terms of Bobby’s age, b. b) How old is Bobby if Abbey is 7 years old?
Answer:
Step-by-step explanation:
a=1/3b + 4
7=1/3b+4
3=1/3b
b=9
find the x- and y- intercepts of the graph of the linear equation
3x + 6y = 12
x Intercept:
y intercept:
Hamzah the fantastic, hot or nah?
37+32 divided by 2 X 7
Can you guys please help !!.
Answer:
It states that when the elevation (Y) goes from 900 to 800 feet, the time (X) transitions from 90 to 120 mintes
18. Let f(x)=x²+2x+c
For what values of care the roots of f(x) not real?
c<_1
c<1
c1
c>1
Answer:c<1
Step-by-step explanation:
is kurapika kurta hot
Answer:
really hot❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤
Answer:
YES yes YES!!!
Step-by-step explanation:
