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kondor19780726 [428]

3 years ago

13

Which statement illustrates the distritive property

1 answer:

sp2606 [1]3 years ago

4 0

Distributive property is used when you have a number outside a set of numbers in parenthesis.

Using the distributive property, you multiply the number outside the parenthesis by each number inside the parenthesis.

The first answer is correct because they are multiplying 9 by 20 and adding it to 9 multiplied by 6.

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A sample of a radioactive isotope had an initial mass of 360 mg in the year 1998 and

RUDIKE [14]

Answer:

193 mg

Step-by-step explanation:

Exponential decay formula:

$A_t = A_0e^r^t$
where Aₜ = mass at time t, A₀ = mass at time 0, r = decay constant (rate), t = time

Our known variables are:

1998 to the year 2004 is a total of t = 6 years.
The sample of radioactive isotope has an initial mass of A₀ = 360 mg at time 0 and a mass of Aₜ = 270 mg at time t.

Let's solve for the decay constant of this sample.

$270=360e^-^r^(^6^)$
$270=360e^-^6^r$
$\frac{3}{4} =e^-^6^r$
$\text{ln} (\frac{3}{4} )= \text{ln}(e^-^6^r)$
$\text{ln} (\frac{3}{4} )=-6r$
$r=-\frac{\text{ln}\frac{3}{4} }{6}$
$r=0.04794701$

Using our new variables, we can now solve for Aₜ at t = 7 years, since we go from 2004 to 2011.

Our new initial mass is A₀ = 270 mg. We solved for the decay constant, r = 0.04794701.

$A_t=270e^-^(^0^.^0^4^7^9^4^8^0^1^)^(^7^)$
$A_t=270e^-^0^.^3^3^5^6^2^9^0^7$
$A_t=193.01982213$

The expected mass of the sample in the year 2011 would be 193 mg.

3 0

3 years ago

What is the measurement for MKL?

Lena [83]

Answer:

36 degreees

Step-by-step explanation:

JKL = 9x + 18

54 = 9x + 18

36 = 9x

4 = x

6(4) + 12 = 36

7 0

3 years ago

If 0 is in the quadrant IV and sin 0=1/2, then cos0___

GuDViN [60]

Negative root 3 over 2

3 0

3 years ago

Rewrite the given parametric equations in Cartesian from x(t) = 2t– 1 y(t) = 5t

docker41 [41]

Hi there!

$\large\boxed{(-\frac{5}{3},-\frac{5}{3})}$

We can begin by setting the two expressions equal to solve for t:

2t - 1 = 5t

Subtract 2t from both sides:

-1 = 3t

Divide both sides by 3:

t = -1/3

Plug in this value of t into x(t) and y(t):

x(-1/3) = 2(-1/3) - 1 = -2/3 - 1 = -5/3

y(-1/3) = 5(-1/3) = -5/3

Thus:

(-5/3, -5/3) are the corresponding coordinates.

7 0

3 years ago

????????????????????

tatyana61 [14]

Answer:

slope: 8/3

y-intercept: -5

4 0

3 years ago