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3 years ago

Which angle in this quadrilateral has a measure closest to 63 degrees?

Mathematics

1 answer:

WITCHER [35]3 years ago

3 0

Probably C because it’s the smallest one

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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

I NEED HELP PLEASE!!

maks197457 [2]

sine --> cosecant

csc(x) = 1/sin(x)

cosine --> secant

sec(x) = 1/cos(x)

tangent --> cotangent

cot(x) = 1/tan(x)

Correct Answer: A

Hope this helps!

7 0

3 years ago

The constraint for the potential plant site 2 can be written as:

sdas [7]

Answer:

c. x21 + x22 + x23 less or equal than 2800 y2

Step-by-step explanation:

The plant has a maximum capacity of 2800 then the sum of all these operations must be equal to or less than 2800. The site of the plant has capacity constraint which needs to be determine through equation. The total capacity for the plant 2 is only 2800 the operation has to be distributed with keeping in mind the capacity limit.

4 0

3 years ago

1~ Please help. What is the measure of m∠P and m∠N?

gladu [14]

Answer:

Answer is option b)

Step-by-step explanation:

$sum \: of \: opposite \: angles \: of \: a \: \\ cyclic \: quadrilateral \: is \: 180 \: degrees \\ from \: the \: diagram \\ 2x + 2x - 12 = 180 \\ 4x - 12 = 180 \\ 4x = 180 + 12 \\ 4x = 192 \\ x = \frac{192}{4} \\ x = 48 \\ angle \: P \: = 2x \\ \: \: \: = 2(48) \\ \: \: \: = 96 \: degrees \\ angle \: N \: = 2x - 12 \\ \: \: \: \: = 96 - 12 \\ \: \: \: = 84 \: degrees$

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION. 

7 0

3 years ago

Solving 7+3 × 24 ÷ 8 − (9 − 6 ÷ 3)2

erma4kov [3.2K]

I got 2 so yeah I might be wrong

3 0

3 years ago

Read 2 more answers