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3 years ago

What is the meaning of the word “remnants” as it is used in the sentence? May someone explain why your answer is correct.

Mathematics

1 answer:

Vaselesa [24]3 years ago

6 0

Answer:

D: pieces

Step-by-step explanation:

The sentence tells us that remnants of metal and glass making have also been found. This means that there are some left over pieces of the metals and glass materials that were used that were found.

Thus, option D is the correct answer.

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HELP ME PLEASE

solmaris [256]

Answer:

The initial mass of the sample was 16 mg.

The mass after 5 weeks will be about 0.0372 mg.

Step-by-step explanation:

We can write an exponential function to model the situation.

Let the initial amount be A. The standard exponential function is given by:

$P(t)=A(r)^t$

Where r is the rate of growth/decay.

Since the half-life of Palladium-100 is four days, r = 1/2. We will also substitute t/4 for t to to represent one cycle every four days. Therefore:

$\displaystyle P(t)=A\Big(\frac{1}{2}\Big)^{t/4}$

After 12 days, a sample of Palladium-100 has been reduced to a mass of two milligrams.

Therefore, when x = 12, P(x) = 2. By substitution:

$\displaystyle 2=A\Big(\frac{1}{2}\Big)^{12/4}$

Solve for A. Simplify:

$\displaystyle 2=A\Big(\frac{1}{2}\Big)^3$

Simplify:

$\displaystyle 2=A\Big(\frac{1}{8}\Big)$

Thus, the initial mass of the sample was:

$A=16\text{ mg}$

5 weeks is equivalent to 35 days. Therefore, we can find P(35):

$\displaystyle P(35)=16\Big(\frac{1}{2}\Big)^{35/4}\approx0.0372\text{ mg}$

About 0.0372 mg will be left of the original 16 mg sample after 5 weeks.

5 0

3 years ago

Please solve with explanation (high points)

IgorLugansk [536]

So, we know that:

$A=\dfrac{1}{2}ab\\P=a+b+c\\a^2+b^2=c^2$

We also know that $(a+b)^2=a^2+2ab+b^2$ . We will use that fact to find $c$ in terms of $A$ and $P$ .

$A=\dfrac{1}{2}ab\Rightarrow 2ab=4A\\P=a+b+c\Rightarrow a+b=P-c$

Therefore:

$(P-c)^2=c^2+4A\\P^2-2cP+c^2=c^2+4a\\2cP=P^2-4A\\c=\dfrac{P^2-4A}{2P}$

7 0

2 years ago

Please Help I don’t get this!!!☹️☹️Im gonna have a meltdown!

marta [7]

Answer:

Y = -5X

Step-by-step explanation:

Don't have a meltdown. It's not good for you. Glad to help you out. :)

7 0

1 year ago

Factor 2x2 - 13x - 70

sladkih [1.3K]

What do you need to know?

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3 years ago

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For the 2015 Intel Science Fair, two brothers in high school recruited 47 of their classmates to take part in a two-stage study.

kvv77 [185]

Answer:

a) 47

b) 3

c) 1

d) 2

e) 47

f) 3

Step-by-step explanation:

read the textbook

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3 years ago

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