Decay Rate for 133Xe = 15.3 exa Becquerels , if Becquerels = 1 disintegration event / second
Decay Rate(Becquerels) = (Total number of atoms of radionuclide) x k (sec –1)
decay constant k for 133Xe= 0.0000015309 s-1
convert this numbers to mass in grams(g) .
Answers
The mass of 133Xe is calculated by dividing the decay rate (15.3 exa Becquerels) by the decay constant (0.0000015309 s^-1) and multiplying by the molar mass of xenon (133 g/mol).
To calculate the mass of 133Xe, we need to use the formula: Mass = Decay rate / Decay constant.
The decay rate is given as 15.3 exa Becquerels, and the decay constant is given as 0.0000015309 s^-1.
We can convert the decay rate to Becquerels by multiplying it by 10^18.
Dividing the decay rate by the decay constant gives us the number of seconds it takes for one disintegration event.
To convert this to mass, we need to know the molar mass of xenon, which is 133 g/mol. Multiplying the number of disintegration events per second by the molar mass gives us the mass of 133Xe in grams.
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Related Questions
Does -6^2 = (-6)^2? Explain your answer.
PLEASE HELP!!!!!!!
Answers
Answer:
No it doesn't
You see when something is in parenthesis () that means it isolated as a whole. When it says (-6)^2 that means Negative six squared. When it says -6^2 that means only the 6 will be squared since they are not parenthesized. So by isolating the two figures both of those numbers together will be squared whereas when they arent isolated only one of them will be squared.
(-6)^2 = -6 x -6 = 36
-6^2= - x 6 x 6= -36
Answer:
-6^2 is same as (-6)^2
Therefore, - 6^2 is - 6×-6 WHICH IS EQUALS TO 36
(-6)^2 = - 6×-6=36
36=36 is the answer.
Question
Let f and g be differentiable functions such that f'(0) = 3 and g' (0) = 7. If h(x) = 3f (x)- 2g (x) – 5cosx – 3, what is the value of h' (0) ?
Please show your work please
Answers
Answer:
\(\displaystyle h'(0) = -5\)
Step-by-step explanation:
We are given the function:
\(\displaystyle h(x) = 3f(x) -2g(x) - 5\cos x - 3\)
And that f'(0) = 3 and g'(0) = 7.
And we want to determine the value of h'(0).
Find h'(x). We can take the derivative of both sides:
\(\displaystyle h'(x) = \frac{d}{dx}\left[ 3f(x) - 2g(x) - 5\cos x - 3\right]\)
Expand and simplify:
\(\begin{aligned}\displaystyle h'(x) & = \frac{d}{dx}\left[ 3f(x) - 2g(x) - 5\cos x - 3\right] \\ \\ & = \frac{d}{dx}[3f(x)] + \frac{d}{dx}[-2g(x)] + \frac{d}{dx}[-5\cos x] + \frac{d}{dx}[-3]\\ \\ & = 3f'(x) -2g'(x) +5\sin x\end{aligned}\)
Therefore:
\(\displaystyle h'(0) = 3f'(0) -2 g'(0) + 5 \sin (0)\)
Substitute and evaluate:
\(\displaystyle \begin{aligned} h'(0) & = 3(3) - 2(7) + 5(0) \\ \\ & = (9) - (14) + (0) \\ \\ & = -5\end{aligned}\)
In conclusion:
\(\displaystyle h'(0) = -5\)
Slope review
PROBLEM : What is the slope of the line whose equation has the following solutions? Give an exact number.
Solution: x = -2.5 y= 0.5
Solution: x=2 y = 2
The slope is:
Answers
To find slope, we must use the slope formula*.
\(m = \frac{2 - 0.5}{2 - (-2.5)} = \frac{1.5}{4.5}\)
The slope is 1.5/4.5.
Complete the list: (i^1) = I, (i^2)=-1, (1^3) = -I,(i^4) = ?
Show work
Answers
Answer:
\( {i}^{1} = i \\ {i}^{2} - 1 \\ {i}^{3} = - i \\ {i}^{4} = 1\)
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If the Walmart is 15 minutes away from my house why hasn't my dad come back with the milk it has been 14 years??
Answers
Answer:
because he left you and your mom and now you are sad because you have no dad also yer dads j e r k
Step-by-step explanation:
Answer:
he is walking 5000000000000000000000000000% slower than a sloth
Step-by-step explanation:
sloths are slow
A company manufactures a product in the United States and sells it in England. The unit cost of manufacturing is $50. The current exchange rate (dollars per pound) is 1.221. The demand function, which indicates how many units the company can sell in England as a function of price (in pounds) is of the power type, with constant 27556759 and exponent -2.4.
a. Develop a model for the company's profit (in dollars) as a function of the price it charges (in pounds). Then use a data table to find the profit-maximizing price to the nearest pound.
b. If the exchange rate varies from its current value, does the profit-maximizing price increase or decrease? Does the maximum profit increase or decrease?
As the exchange rate increases (the dollar weakens), the best price in pounds Selectincreasesdecreases and the maximum profit Selectincreasesdecreases . The Selectsameopposite occurs when the dollar strengthens.
Answers
a. The profit (in dollars) as a function of the price (in pounds) charged by the company can be modeled as follows:
Profit = (Price x Demand) x Exchange Rate - (Unit Cost x Demand)
Plugging in the values given in the problem, we get:
Profit = (1.221 x 27556759 x Price^-2.4) - (50 x 27556759)
b. Using a data table, we can find the profit-maximizing price to be approximately 26 pounds.
If the exchange rate varies from its current value, the profit-maximizing price would change accordingly. Specifically, if the dollar weakens (exchange rate decreases), the profit-maximizing price in pounds would increase, resulting in a higher maximum profit.
Conversely, if the dollar strengthens (exchange rate increases), the profit-maximizing price in pounds would decrease, resulting in a lower maximum profit.
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which is an equation of the line with a slope of 1/4 and a y-intercept of -2?
Answers
Answer:
y = 1/4x -2
Step-by-step explanation:
If the slope is 1/4, then you must multiply x by 1/4. If we plug 0 into 1/4x, we get 0, but we need -2, so we must subtract 2 in the equation.
Camden invested $260 in an account paying an interest rate of 4-1/8 % compounded annually. Evan invested $260 in an account paying an interest rate of 3-7/8 compounded continuously. After 13 years, how much more money would camden have in his account than Evan, to the nearest dollar
Answers
Answer:
$5500
Step-by-step explanation:
< GRADES / 2022 RATIOS AND PROPORTIONS UNIT TEST Q21
21
What percent represents the shaded part of the hundredths grid shown?
Answers
Answer: A) 0.05%
Step-by-step explanation: Converting the shaded area of the hundredths grid to a fraction would be 5/100 (or 1/20 simplified). Then convert 5/100 to a percentage by calculating 5 ÷ 100, which is 0.005%, therefor the answer is A.
Evaluate the following expressions if a = 2, b = 3, X = 4, and y = 5.
x² - ab/y
A.1/2
B.64
C. 2
D.18
Answers
16-2(3)/5
16-6/5
16-1.2
14.8
7th-grade students decided to start fundraising money by selling raffle tickets. The administration promised to contribute $2 extra for each raffle ticket sold. The 7th graders sold 223 tickets and raised a total of $1,115. Write an equation to represent this situation. Remember to define your variable.
Answers
Answer:
Let x be the price of a raffle ticket
(x+2)*223 = 1115
x=3
Step-by-step explanation:
Let x be the price of a raffle ticket
The amount they get is now x+2 since the admin is donating 2 dollars per ticket
The sold 223 tickets
(x+2) *223 = amount raised
(x+2)*223 = 1115
Divide each side by 223
x+2 = 1115/223
x+2 = 5
Subtract 2 from each side
x+2-2 =5-2
x=3
\( \quad \quad \quad \quad \tt{(x + 2) 223 = 1,115}\)
\(\quad \quad \quad \quad \tt{ \huge x + 2 = \frac{1,115}{223} }\)
\(\quad \quad \quad \quad \huge\tt{ x + 2 = 5 }\)
Covert the 2 like this:\(\quad \quad \quad \quad \huge\tt{ x = 5 - 2}\)
\(\quad \quad \quad \quad\huge \tt{ x = 3 }\)
Hence, the answer is:\(\quad \quad \quad \quad \boxed{ \huge \tt{ \color{green} x = 3 }}\)
_________
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Sense or nonsense? Pete says that to write 4/6 as 2/3, you combine pieces, but to write 4/6 as 8/12, you break apart pieces does this make sense?
Answers
In order to write 4/6 as 2/3 we would break apart pieces and to write 4/6 as 8/12 we would combine pieces.
What are fractions?
A fraction is a quantity that is not a whole number. In maths, a fraction usually has a numerator and a denominator. The numerator is the number above. While the denominator is the number below.
In order to write 4/6 as 2/3 we have to express in its simplest form. This means that you have to divide 4/6 by 2. In order to write 4/6 as 8/23, multiply 4/6 by 2.
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a toy store sells 2 types of cars. more expensive car costs $4 more than less expensive car. owner can buy 5 more of less expensive cars in $120 than the more expensive one. what is the price of each car
Answers
Given statement solution is :-The price of the less expensive car is $31, and the price of the more expensive car is $31 + $4 = $35.
Let's denote the price of the less expensive car as "x" dollars. According to the given information, the more expensive car costs $4 more than the less expensive car, so its price would be "x + $4" dollars.
The owner can buy 5 more of the less expensive cars for $120 than the more expensive car. This means that the price of 5 less expensive cars is $120 more than the price of one more expensive car. Mathematically, we can express this as:
5x = (x + $4) + $120
Now let's solve this equation to find the value of "x":
5x = x + $4 + $120
5x = x + $124
4x = $124
x = $124 / 4
x = $31
Therefore, the price of the less expensive car is $31, and the price of the more expensive car is $31 + $4 = $35.
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NEED PLEASE HELP TGA DUE IN 30 MINUTES!!!!
Pretend you purchase your dream vehicle with a 5% simple interest rate. Simple Interest Formula:
I = Interest
P = Principal (amount borrowed or invested)
R = Rate
T = Time
(a) Paste a picture of your vehicle here: (1 Point)
(b) Write the price of your vehicle here (1 Point) $______________________.
(c) Suppose you pay the loan off after 4 years. How much interest do you pay on your loan? (1 Point) Show your work.
SHOW ALL OF YOUR WORK AND STEPS FOR FULL CREDIT CORRECT GETS BRAINLIEST
Answers
The price of the car is $130,000, Simple interest for 4 years is $26000, Simple interest for 2 years is 2 years, The interest saved by paying the loan off sooner is $13000.
What is simple interest?Simple interest is a method of calculating interest that does not take into consideration numerous periods of interest charges or payments. Accrued interest is unaffected by the interest rate; it simply applies to the loan or investment's principle.
Let us suppose the price of the dream car is $130,000.
The simple interest is given by the formula:
SI = PRT
where, P is the principal amount = $130,000.
R is the rate = 5% = 0.05
T is the time.
The price of the vehicle is $130,000.
Given that, T = 4 years.
Substitute the value in formula of SI.
SI = 130000 (0.05) (4)
SI = 26000
Given that T = 2 years.
Substitute the value:
SI = 130000 (0.05)(2)
SI = 13000
The interest saved by paying the loan off sooner is:
I = 26000 - 13000
I = 13000
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Three semicircles of radius 1 are constructed on diameter $\overline{AB}$ of a semicircle of radius 2. The centers of the small semicircles divide $\overline{AB}$ into four line segments of equal length, as shown. What is the area of the shaded region that lies within the large semicircle but outside the smaller semicircles
Answers
Therefore , the solution of the given problem of surface area comes out to be unused space is equal to 2π - (5π/6 + √3/2) m² .
Surface area definitionIts surface area serves as a proxy for how much overall space it occupies. The whole environment of a three-dimensional shape is taken into account when calculating its surface area. The overall size of something is its surface area. The volume of water in a cuboid can be determined by summing the face on each of the six rectangular sides. To determine the box's measurements, apply the following formula: For 2lh, 2lw, & 2hw, the surface is exactly the same (SA). The region is represented by the surface area of the muti form.
Here,
Given:
AB = D = 4 m (R = 2 m)
The size of the AB semicircle is:
=> Area = πr²/2
=>A = 2π
The dimensions of the little semicircle are a=5/6 + 2/3/2 m2 and a=5/6 + 3/2 m2.
The remainder area is therefore equal to A- a.
= 2π - (5π/6 + √3/2) m²
The unused space is equal to 2π - (5π/6 + √3/2) m²
Therefore , the solution of the given problem of area comes out to be unused space is equal to 2π - (5π/6 + √3/2) m² .
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The net below shows the dimensions of a triangular pyramid with equilateral base. The height of each triangle is 7.2 and the base is 5 what is the area\ triangular pyramid?
Answers
Answer:
25.98units³
Step-by-step explanation:
Area of the triangular prism = Base Area * Height of the pyramid
A = BH/3
Get the area of the triangle
Area of the triangle = 1/2 Base * height
Base of the triangle = 5
height = √5²-2.5²
h = √25-6.25
h = √18.75
h = 4.33
Area of the triangle = 1/2 * 4.33 * 5
Area of the triangle = 10.82
Base area = 10.82
Get the area of the triangular pyramid
Area of the triangular pyramid = 10.82*7.2/3
Area of the triangular pyramid = 25.98units³
Hence the area triangular pyramid is 25.98units³
A log is 16 m long, correct to the nearest metre. It has to be cut into fence posts which must be 70 cm long, correct to the nearest 10
What is the largest number of fence posts that can possibly be cut from the log?
Answers
The largest number of fence post that can possibly be cut from the log is 23.8( nearest tenth)
What is word problem?A word problem in math is a math question written as one sentence or more. This statements are interpreted into mathematical equation or expression.
For us to know the number of fence post that can be obtained from the log, we need to convert the length of the log into cm
Therefore;
1m = 100cm
16m = 16× 100 = 1600 cm
Therefore the maximum number of fence post that can be obtained is
1600/70 = 160/7
= 23.8 ( nearest tenth)
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AA M2/L15 zearn.org Juanita swam Zearn Convert to Solve actice for a competition, Juanita swam 0.73 kilometer in the pool each day for 2 weeks How many meters did Juanita swim in those 2 weeks? 1 km = 1,000 m
Answers
10220 meters Juanita swim in those 2 weeks.
Given that,
Juanita practiced her swimming for a competition by swimming 0.73 kilometers in the pool every day for two weeks.
We have to find Juanita swam how many meters in those two weeks? 1 km = 1,000 m
First, we multiply the number of days swam by the amount of kilometers swan each day.
0.73×2 week
0.73×14days
10.22
The kilometers are then multiplied by the conversion rate to convert them to meters.
10.22 kilometers multiplied by a 1000 m to m conversion factor results in 10220 m.
Therefore, 10220 meters Juanita swim in those 2 weeks.
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Find the area of the triangle.
Answers
Answer:
29.394 square feet.
Step-by-step explanation:
There is no explanation for this answer.
Answer:
30 ft
Step-by-step explanation:
10 x 6 = 60
60 ÷ 2 = 30
formula : base x height ÷ 2
what is the weighted mean, mean, and median overall rate of return on this investment portfolio?
Answers
The weighted mean takes into account the weight of each investment and can provide a more accurate measure of the overall rate of return on the portfolio than the mean or median.
The weighted mean, mean, and median overall rate of return on this investment portfolio can be calculated using the following formulas:
Weighted Mean: Weighted mean = (R1 x W1) + (R2 x W2) + (R3 x W3) + ...
Mean: Mean = (R1 + R2 + R3 + ...) / N
Median: Median = (N + 1) / 2
where R1, R2, etc. are the returns on individual investments, W1, W2, etc. are the weights assigned to each investment, and N is the total number of investments in the portfolio.
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6. Find m2ABC.
(5x + 3)
(3x + 7)
E
B
21
37
10
53
Answers
Answer:
53
Step-by-step explanation:
(5x+3)+(3x+7)=90
5x+3+3x+7=90
5x+3x+3+7=90
8x+3+7=90
8x+10=90
8x=90-10
8x=80
x=80/8
x=10
----------------------
5x+3=5(10)+3=50+3=53
if casey places 890 in a savings account how much interest will he earn in 12 years at a 5% simple interest rate
Answers
Answer:
$534
Step-by-step explanation:
Simple Interest formula: I = Prt
I = $890 * (0.05)* 12
I = $534
Will the answer be positive or negative? EXPLAIN your answer.(−1)∙(8)∙(−2)∙(−1)∙(9
Answers
Answer:
negative because multiplying an odd number of negative terms makes the product negative.
Step-by-step explanation:
Answer:
it will be negative
Step-by-step explanation:
because as the rule tell us, (-)(+)= - (-)(-)=+
we can put it like this (-)(+)(-)(-)(+)= -
so negative times positive equals negative,
(-)(+)= -
negative time negative equals positive
(-)(+)= (-)(-)=+
then positive times negative is negative
(-)(+)= (-)(-)=+ (+)(-)= -
know the final is negative times positive
(-)(+)= (-)(-)=+ (+)(-)= - (-)(+)= -
it's very easy but confuse to explain
One person takes up about 2.5 square feet of space. Use this value to estimate how many people can fit in an area that is 120 feet wide and 300 feet long.
Answers
9514 1404 393
Answer:
14,400 people
Step-by-step explanation:
The area is the product of length and width:
A = LW
A = (300 ft)(120 ft) = 36,000 ft^2
Then the number of people is the area divided by the area per person:
(36,000 ft^2)/(2.5 ft^2/person) = 14,400 persons
Solve the following proportion for x 7/8=x/9 round Your Answer to the nearest tenth
Answers
The value of the x is 7.9
What is proportion?
Two ratios are set to be equal in an equation called a proportion.
Given, \(\frac{7}{8} = \frac{x}{9}\)
or, 8x = 9*7
or, 8x = 63
or, x = 63/8
or, x = 7.875 = 7.9 (rounded to the nearest tenth)
Therefore, the required value of x is 7.9
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3. The system of equations for two liquid surge tanks in series is
A₁ dh'₁/dt = q'ᵢ - 1/R₁ h'₁, q'₁ = 1/R₁ h'₁
A₂ dh'₂/dt = 1/R₁ h'₁ - 1/R₂ h'₂ q'₂ = 1/R₂ h'₂
Using state-space notation, determine the matrices A,B,C, and D assuming that the level deviations are the state variables: h'₁ and h'₂. The input variable is q'ᵢ , and the output variable is the flow rate deviation, q'₂.
Answers
The surge tank is a vital component of a system in which the flow rate fluctuates significantly. The flow rate entering the tank varies significantly, causing the fluid level in the tank to fluctuate as a result of the compressibility of the liquid. The surge tank is utilized to reduce pressure variations generated by a rapidly fluctspace uating pump flow rate. To determine the matrices A,B,C, and D using state-space notation, here are the steps:State representation is given by:dx/dt = Ax + Bu; y = Cx + DuWhere: x represents the state variablesA represents the state matrixB represents the input matrixC represents the output matrixD represents the direct transmission matrixThe equation can be written asA = [ -1/R₁ 0; 1/R₁ -1/R₂]B = [1/A₁; 0]C = [0 1/R₂]D = 0Thus, the matrices A,B,C and D assuming that the level deviations are the state variables: h'₁ and h'₂. The input variable is q'ᵢ, and the output variable is the flow rate deviation, q'₂ are given by A = [ -1/R₁ 0; 1/R₁ -1/R₂]B = [1/A₁; 0]C = [0 1/R₂]D = 0.Hence, the required matrices are A = [ -1/R₁ 0; 1/R₁ -1/R₂], B = [1/A₁; 0], C = [0 1/R₂], and D = 0 using state-space notation for the given system of equations for two liquid surge tanks.
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how do you do thissss???
Answers
The solid above is a triangular prism. Therefore, the surface area of the triangular prism is 157.2 cm².
How to calculate surface areaThe figure above is a triangular prism. The surface area of a triangular prism can be calculated as follows:
Surface area = bh + l(p)
where
p = perimeter of the triangular basel = height of prismb = base of the triangular baseh = height of the triangular baseTherefore,
p = 6 + 6 + 6 = 18 cm
l = 7 cm
b = 6 cm
h = 5.2 cm
Therefore,
Surface area = (6 × 5.2) + 7(18)
Surface area = 31.2 + 126
Surface area = 157.2 cm²
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is 6,11,17,... geometric in sequences
Answers
4s4 17s2 14s 2 = (2s3 3s2-4s 1)(x)
Answers
The required difference of the polynomial functions is -9s^2 + 4s - 2
Given the following difference of polynomial expressed as:
(–6s2 + 12s – 8) – (3s2 + 8s – 6)
We are to find the difference
(–6s2 + 12s – 8) – (3s2 + 8s – 6)
Expand
–6s^2 + 12s – 8 - 3s^2 - 8s + 6
Collect the like terms
–6s^2- 3s^2 + 12s - 8s - 8 + 6
-9s^2 + 4s - 2
Hence the required difference of the polynomial functions is -9s^2 + 4s - 2
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complete question
Find each difference.
(–6s2 + 12s – 8) – (3s2 + 8s – 6) =
–9s2 + 4s – 14
–9s2 + 4s – 2
–9s2 + 20s – 14
–9s2 + 20s – 2
What number is the first multiple of 5 that is greater than 17
Answers
Answer:
20
Step-by-step explanation:
Multiples of 5 are: 5, 10, 15, 20, 25, 30, 35, 40, etc. Each multiple is created by multiply 5 times some other number.
The first multiple of 5 that is greater than 17 is 20.
What are multiples of a number?Multiples of a number is simply it's table.
We know 5 has a multiple of 20 which is 5 times 4 and we also know that
20 > 17.
Now the previous multiple of 5 before 20 is 15 which is not greater than 17 and 25 is also a multiple of 5 but 20 comes before 25.
So, the most appropriate multiple of 5 that is greater than 17 that is greater than 17 is 20.
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