Answer:
144?
Step-by-step explanation:
1+3+5+7+9+11 blah blah blah...
1+3+5+7+9+11+13+15+17+19+21+23 which gives 144.
Alexander Litvinenko was poisoned with 10 micrograms of the radioactive substance Polonium-210. Since radioactive decay follows a compounded continuously model, we can determine the amount of substance left in Alexander Litvinenko's body at any given time. If Polonium-210 has a decay rate of .502%, then determine the amount of Polonium-210 left in his body after 72 days. Provide 3 decimal places and a label in your answer.
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!
What is the value of b in this diagam?
A.12
B. 10.2
C.9
D.8
Answer:
We can't tell because we can't see the diagram.
Step-by-step explanation:
Could you link the diagram?
Answer:
Answers is D 8
Step-by-step explanation:
You are building a shelf that fits in a corner. In the figure, the entire shelf is 2 points ABC. If each unit in the coordinate plane represents one inch, then the
AREA of the shelf is
square inches. A(20,30) B(20,10) C(10,10)
Answer:
100 square inches
Step-by-step explanation:
The width of the shelf is BC = 20 - 10 = 10 inches.
The height of the shelf is AB = 30 - 10 = 20 inches.
The area of a triangle with these dimensions is ...
A = (1/2)bh
A = (1/2)(10 in)(20 in) = 100 in^2
The area of the shelf is 100 square inches.
3/8+2/5 what is the answer
Answer:
31/40
Step-by-step explanation:
Are 2x^3y & 2xy^2 like terms
Answer:
No
Step-by-step explanation:
Let's define our 2 terms first.
2x³y
2xy²
We see here that one term has a x³y and the other has a xy² term. Since they are not the same, the 2 terms are not like terms.
whats 2 -89
so ihave to write 20 characters to asks omething so
Find f(3).
f(x) = x2 + 5x - 9
A) 7
B) 10
C) 9
D) 15
Answer:
f(3) = 15. Correct: D)
Explanation:
Numeric Value of a Function
The value of a function f(x) when x = a is calculated by replacing the x for a. We have the function:
[tex]f(x)=x^2+5x-9[/tex]
It is required to find f(3), or the numeric value of f when x=3. Replace x for 3
[tex]f(3)=3^2+5(3)-9[/tex]
[tex]f(3)=9+15-9[/tex]
[tex]f(3)=15[/tex]
A) Incorrect. f(3) is not 7
B) Incorrect. f(3) is not 10
C) Incorrect. f(3) is not 9
D) Correct. f(3) =15 as found above.
please help quickly ill give brainliest if its correct
2p10
Step-by-step explanation:
The graph below shows the relationship between time and distance traveled by a race
car moving at a constant rate and at its maximum speed. How long did it take the
race car to travel 480 miles?
Race Car Data
Distance (miles)
800
700
600
500
400
300
200
100
0
0.5 1.5 2.5 3.5 4.5 5.5 6.5
Time (hours)
Answer:
t = 4.2 h
Step-by-step explanation:
We can calculate the time taken by the car to travel 400 miles, easily by taking a difference of time in graph between 0 miles and 400 miles value:
t₄₀₀ = 3.5 h - 0 h
t₄₀₀ = 3.5 h
Now, we calculate the constant speed of the car from the following formula:
s = vt
v = s/t
where,
v = velocity of the car = ?
s = distance covered by the car = 400 mi
t = time taken = 3.5 h
Therefore,
v = 400 mi/3.5 h
v = 114.28 mi/h
Now, for this uniform speed the time taken to cover the distance of 480 miles will be:
114.28 mi/h = 480 mi/t
t = (480 mi)/(114.28 mi/h)
t = 4.2 h
HELP ME ? HEHEHE HEHEHEHEHEHEHEHEH HELPPP MEEE
Answer:
Your answer is -6 just count down with negatives
what is the value for x in the form of p
does 4(px+1)=64
Step-by-step explanation:
4(px + 1) = 64
Step 1: Add -4 to both sides.
4px + 4 -4 = 64 + -4
4px = 60
Step 2: Divide both sides by 4p.
4px = 60
4p 4p
x = 15
p
Find m<1 and m<2. Justify your answer.
Answer:
M<1 80 by the corresponding angles postulate
Step-by-step explanation:
Plz help me I had to put it was math Bc there is no science option plz help me thank you.
Answer:
see the attached
Step-by-step explanation:
To fill in the data table, you need information about the layers of the Earth. That information is provided in the second attachment.
Among other things, it shows the density of the rock layers varies over a range of almost 6 to 1 from the top layer to the inner core. Your representative liquids vary in density over a range of about 1.8 to 1, so clearly cannot match the relative densities.
In the attached spreadsheet, we have used the average of the top and bottom density values for each layer to represent the density of the layer. Then we did a linear mapping so that the minimum density maps to lamp oil, and the maximum density maps to honey. (You get slightly different results if you use a different mapping strategy.)
For your convenience in stacking your "density cylinder", we have shown the relative thickness of each of the layers as a percentage of the overall radius of the Earth. That is, if your cylinder is 100 mL deep, for example, then the top layer will be 0.5 mL deep, the next layer 11.3 mL deep, and so on.
__
We have elected not to use alcohol for the top layer, because it is miscible with all of the liquids immediately below that in the table. That is, you could not maintain alcohol as a separate layer in your cylinder because it would dissolve into the layer below. It might take a little effort (or care) to keep the lamp oil separated from the vegetable oil, as we expect those might try to mix, as well.
If you compare the scaled density values with the values for the "representative" liquids we have chosen, you will see that some are closer than others. The idea is to try to get the best match, while also choosing liquids that don't mix well.
12/55 × 15/16 Give your answer as a fraction in its simplest form.
Answer:
9/44
Step-by-step explanation:
12 * 15
55 16
12 * 15 = 180
55 * 16 = 880
180
880
/2
90
440
/2
45
220
/5
9
44
can someone help me to solve 3/4÷1/2=
Answer:
3/4 ÷ 1/2 is one and one half or 3/2
Answer:
1.5 or 1 1/2
Step-by-step explanation:
3/4 divided by 1/2 is simply a reverse order of multiplication.
As you see if you swap the 1 and 2 in one half you get 2 over 1.
This changes the division sign to a multiplication sign.
Thus then you can multiply 3/4 by 2 to get 6/4.
6/4 then can be simplified as 1 and 1/2 or 1.5.
I’m so confused can anyone help?
Answer:
Step-by-step explanation:
The answer is 15.
1/5 is 10
1/2 is 25
25+10=35
50-35 is 15, your answer. Hope this helped :)
Two years ago, Rita was three times older than Cheryl. In 3 years, Rita will be twice older than Cheryl. How old are the girls now?
Answer:
Cheryl's age = x = 7 years
Rita's age = y = 17 years
Step-by-step explanation:
Let
Cheryl's age = x
Rita's age = y
Two years ago, Rita was three times older than Cheryl
(y - 2) = 3(x - 2)
y - 2 = 3x - 6
y = 3x - 6 + 2
= 3x - 4
y = 3x - 4
In 3 years, Rita will be twice older than Cheryl
(y + 3) = 2(x + 3)
y + 3 = 2x + 6
y = 2x + 6 - 3
= 2x + 3
y = 2x + 3
Equate both equations
3x - 4 = 2x + 3
Collect like terms
3x - 2x = 3 + 4
x = 7 years
Substitute x = 7 into
y = 2x + 3
= 2(7) + 3
= 14 + 3
= 17
y = 17 years
Cheryl's age = x = 7 years
Rita's age = y = 17 years
whats the answer please help
Answer:
The answer is 1,200 in. tall
Step-by-step explanation:
Because you just need to multiply length times width so the length would be 40 in. and width would be 30 in. so 40 x 30= 1,200 in.
Diana is selling cucumbers from her backyard garden. Her garden is 42 square feet in total and she can grow 1 cucumber every 72 square inches. If she can successfully grow cucumbers in every square foot of the garden and sell them for $2.50 each, how much money will she make?
Answer:
she will make $120 from the cucumbers
Which figure has an order 3 rotational symmetry
Answer:
Equilateral triangle
Equilateral triangle has an order 3 rotational symmetry. In geometry, a figure has rotational symmetry if it moves onto itself under rotation about an angle at center of rotation.
Step-by-step explanation:
Equilateral triangle has an order 3 rotational symmetry. In geometry, a figure has rotational symmetry if it moves onto itself under rotation about an angle at center of rotation. Hope this helps! :)
Answer:
Equilateral triangle on EDG
Step-by-step explanation:
if you travel 480 miles at an average speed of 40 miles per hour for how many hours were you traveling
Answer:
The answer is 12 hoursStep-by-step explanation:
To find the time taken for an object to travel given it's velocity and distance covered we use the formula
[tex]time = \frac{distance}{speed} \\ [/tex]
From the question
distance = 480 miles
speed = 40 mi/h
So we have
[tex]time = \frac{480}{40} = \frac{48}{4} \\ [/tex]
We have the final answer as
12 hoursHope this helps you
i'll make the person who solves this the brainlest Evaluate the expression:
-2 1/4 + 8 + (- 1 3/4 ) - 1
Answer:
3
Step-by-step explanation:
Convert to improper fraction then do the math from there
Which statement describes the mapping? A. The mapping represents y as a function of x, because each y-value corresponds to exactly one x-value. B. The mapping does not represent y as a function of x, because two of the x-values correspond to the same y-value. C. The mapping represents y as a function of x, because each x-value corresponds to exactly one y-value. D. The mapping does not represent y as a function of x, because there are more x-values than different corresponding y-values.
Answer:
The answer is
C. The mapping represents y as a function of x, because each x-value corresponds to exactly one y-value.
Step-by-step explanation:
In mathematics, mapping is used synonymously to a function, and a function is basically a relation between two values or expressions say y and x
like the difference equation relating y and x.
In a function, for every value of x plugged into the function there is always a corresponding value of y.
Example.
Given the function
y=2x+5.
find the value of y when x=0
we are going to substitute x=0 and solve
y=2(0)+5
y=5
so for x=0 y=5
please help I need an answer ASAP pleae
Answer:
1=8 2=11/12
Step-by-step explanation:
Given f (x)= 5 (2 - x), what is the value of f(-6)
Answer:
f(-6)=40
Step-by-step explanation:
f(x)=5(2-x)
f(x)=10-5x
f(-6)=10-5*(-6)
f(-6)=10+30
f(-6)=40
Round 345.273 to the nearest hundredth.
Answer:
345.270
Step-by-step explanation:
i think that's right
Answer:
Step-by-step explanation:
underline the hundreth and then look at the place next to it and then if it is 5 or more then go to the next hundredth if it's less than 5 than the number stays the same
Help me pls dodkrkkdiodod
Answer:
2 with an exponent of 6,
Example: 2x2x2x2x2x2
The exponent is just the number multiplied that many times to itself
Step-by-step explanation:
Example: 2x2x2x2x2x2 =
2x2=4x2=8x2=16 and so on
Hope this helped!
Answer:
i73489013848eirrlgdjfknkln cklvnbklncb nclxnklzndlgkfnxdknsklnlzndjsknjkdnfksnznfjnzjkfnnzknlnkznskdnzjksnvnv
Step-by-step explanation:
Victoria and her friends are going to the skateboard shop to pickup some equipment. They buy two new skateboards for $87.98 each, 3 pairs of kneepads for $14.57 each, and 4 helmets for $21.24 each. What is their total cost? (hint: don't forget the $) * 50 points
Answer:
$304.63
Step-by-step explanation:
From the information provided, the total cost can be calculated by multiplying the price of each item for the amount purchased and adding up the results:
Total cost=($87.98*2)+($14.57*3)+($21.24*4)
Total cost=$175.96+$43.71+$84.96
Total cost= $304.63
According to this, the answer is that their total cost is $304.63.
The length of a rectangle is 6 feet and the width is 3 feet. Find the perimeter
of the rectangle.
Answer:
18
Step-by-step explanation:
6+6+3+3
6+6+6
18
América is not a country