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makkiz [27]
2 years ago
11

ASAP! Giving brainliest for CORRECT awnser.

Mathematics
1 answer:
Marizza181 [45]2 years ago
4 0

Answer:

all of above brainliest appreciated

Step-by-step explanation:

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The radioactive isotope radium has a half-life of 1,600 years. The mass of a 100-gram sample of radium will be______ grams after
Olenka [21]
To solve this we are going to use the half life equation N(t)=N_{0} e^{( \frac{-0.693t}{t _{1/2} }) }
Where:
N_{0} is the initial sample
t is the time in years
t_{1/2} is the half life of the substance
N(t) is the remainder quantity after t years 

From the problem we know that:
N_{0} =100
t=200
t_{1/2} =1600

Lets replace those values in our equation to find N(t):
N(200) =100e^{( \frac{(-0.693)(200)}{1600}) }
N(200)=100e^{( \frac{-138.6}{1600} )}
N(200)=100e^{-0.086625}
N(200)=91.7

We can conclude that after 1600 years of radioactive decay, the mass of the 100-gram sample will be 91.7 grams.

8 0
3 years ago
Roland says the number of cups of iced tea t depends on the number of tea bags b. He says the equation represents the relationsh
nika2105 [10]

Answer:

I think Roland is correct in his statement.

Step-by-step explanation:

Roland says the number of cups of iced tea t depends on the number of tea bags b and he says the equation represents the relationship between the number of tea bags b and the cups of iced tea t = \frac{b}{1.5}.

I think Roland is correct in his statement and this is because here t is a function of b i.e. t = f(b) and hence, the number of cups of iced tea t depends on the number of tea bags b. (Answer)

5 0
3 years ago
Jane is making a suit which requires 2 5⁄8 yards for the jacket and 1 3⁄4 yards for the skirt. What's the total amount of materi
Amanda [17]
4 3/8 is what I believe to be the answer.<span />
4 0
3 years ago
The sum of two numbers is 9.9, and the sum of the squares of the numbers is 53.21. What are the numbers?
Snezhnost [94]

Answer:

There are two possibilities:

x_{1} = 3.5 and y_{1} = 6.4

x_{2} = 6.4 and y_{2} = 3.5

Step-by-step explanation:

Mathematically speaking, the statement is equivalent to this 2-variable non-linear system:

x + y = 9.9

x^{2} + y^{2} = 53.21

First, x is cleared in the first equation:

x = 9.9 - y

Now, the variable is substituted in the second one:

(9.9-y)^{2} + y^{2} = 53.21

And some algebra is done in order to simplify the expression:

98.01-19.8\cdot y +2\cdot y^{2} = 53.21

2\cdot y^{2} -19.8\cdot y +44.8 = 0

Roots are found by means of the General Equation for Second-Order Polynomials:

y_{1} \approx \frac{32}{5} and y_{2} \approx \frac{7}{2}

There are two different values for x:

y = y_{1}

x_{1} = 9.9-6.4

x_{1} = 3.5

y = y_{2}

x_{2} = 9.9 - 3.5

x_{2} = 6.4

There are two possibilities:

x_{1} = 3.5 and y_{1} = 6.4

x_{2} = 6.4 and y_{2} = 3.5

5 0
3 years ago
There are four $20 bills, five $10 bills, seven $5 bills, and four $1 bills in your wallet. You select one bill at random. What
coldgirl [10]
The expected value is to get either a $5 bill or a $10 bill because of it has more of it's kind in the wallet.
5 0
3 years ago
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