The half-life of Palladium-100 is 4 days. After 24 days a sample of Palladium-100 has been reduced to a mass of 1 mg. What was the initial mass (in mg) of the sample?

Using the rules of significant figures the expression 47.5-6.12 can be simplified as 41.38.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The number 6.12 has two digits after the decimal while the number 47.5 has only one digit after the decimal therefore, as per the law of significant figures, to deduct 6.12 from 47.5, we need to put one zero at the end of 47.5.

Also, there are two digits in 47.50 before the decimal while 6.12 has only one, therefore, As per the law of significant figures, one zero will be added before 6.12. Thus, the deduction now can be done as,

    4  7  .  5  0

-   0  6  .  1  2

   4   1  .  3  8

Hence, Using the rules of significant figures the expression 47.5-6.12 can be simplified as 41.38.

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The length of the route of a bicylist that has covered 5/7 of his route and an additional 40 miles and yet to cover 118 miles less than 0.75 of his route is 168 miles.

The bicyclist covered 5 / 7 of his route and an addditional 40 miles.

Let

x = distance of his route in miles

Hence,

distance covered = 5 / 7 x + 40

He has yet to cover 118 miles less than 0.75 of his route. Therefore,

distance not covered = 0.75x - 118

Distance of his route = 5 / 7 x + 40 + 0.75x - 118

x = 5 / 7 x + 40 + 0.75x - 118

x = 1.464x - 78

x -  1.464x = -78

-0.464x = -78

x = 78 / 0.464

x = 168.103448276

x = 168 miles

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Answer:

Equation: N = 2M, Shen needs to read 26 novels in 13 months

Step-by-step explanation:

Given : Shen needs to read 2 novels each month.

i.e. In One month , the number of novels read by Shen = 2

Let N be the number of novels Shen needs to read in M months.

Then , N = 2 M

Thus , the equation relating N to M : N = 2 M

If Number of months = 13 , then put M = 13 in the above equations , we get

N = 2(13) = 26

Hence, the number of novels he read in 13 months = 26.

Answer:

820 kg·m/s

Step-by-step explanation:

P = mv ⇒ P = (4100×0.2) = 820

Negative value has least value.

Answer:

Angle ADE is an obtuse angle.

Step-by-step explanation:

An obtuse angle is an angle that "opens" greater than 90 degrees. The question asks which angle is an obtuse angle, so basically you follow the order of letters and see which one is greater than 90 degrees (btw, 90 degrees, also known as a right angle, looks like the corner of a square, and anything greater than that is an obtuse angle).

Answer:

An obtuse angle is anything bigger than 90 degrees because 90 degrees is a right angle, therefore D. ADE would be the answer.

Hi!

We are asked to find the ratio.

A ratio is a relationship/comparison between two or more numbers based on their numerical value.

We know that, for every 2 triangles there are 6 circles. We can set up our ratio to look like this:

[tex]\cfrac{2}{6}[/tex]

---

(NOTE: there are many different ways to write ratios, including: "x:y", "x to y", or "x/y")

---

The question asks us to write it in simplest form. The fraction [tex]\cfrac{2}{6}[/tex] is NOT in simplest form. It can be simplified to:

[tex]\cfrac{1}{3}[/tex]

This is the ratio in simplest form.

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Answer:

Total Platform = 128 ft^3

Step-by-step explanation:

Volume = Length * Width * Height

Left Volume: 2 ft * 4 ft * 3 ft = 24 ft^3

Mid Volume: 4 ft * 4 ft * 5 ft = 80 ft^3

Right Volume: 2 ft * 4 ft * 3 ft = 24 ft^3

Total Volume = 24 ft^3 + 80 ft^3 + 24 ft^3 = 128 ft^3

Answer:

v = [tex]108^{3}[/tex]

Step-by-step explanation:

I'd start with breaking the platform into two parts, the long flat rectangle and then the bit on top. You'll have to add these together at the end!

_________________

So part one: the long piece

formula: v = lwh

dimensions: 12, 3, 2

plug in: v = 12 * 3 * 2

solve: v = 72^3

_________________

part two: smaller rectangle on top ::

formula: v = lwh

dimensions: 4, 3, 3

plug in: v = 4 * 3 * 3

solve:v = 36*3

__________________

now, we add for the total of the entire shape!

final answer: 72 + 36 = 108^3

Answer:

6

Step-by-step explanation:

Answer:

-3.4

Step-by-step explanation:

Answer:

-3.4

Step-by-step explanation:

1. Multiply 2/5 by 2/2: 4/10

2. -3 & 4/10 = -3.4

Step-by-step explanation:

It's just asking you to rewrite it in vertex form. Which would be

[tex](x + 10) ^{2} - 4[/tex]

Answer:

Step-by-step explanation; zero point fittyfour

Answer:

you can say fifty four hundredths, or simpler, zero point fifty four, or even simpler, zero point five four ( I recommend fifty four hundredths)

Answer:

Your answer is A.

Step-by-step explanation:

Looking at the graphing two-equation: y = x^3 -3 and y = x^2+6 are up there, it can help us determine the limit of domain.

The dot is the x<=2 for equation y=x^3-3.

The circle is x>2 for equation y=x^2+6

Answer:

what about this 0=20

Step-by-step explanation:

so x=2 right there for

(-3)2+6=(2)-24

-6+6=4-24

0=20

Answer:

76.54 ft

Step-by-step explanation:

Pythagorean theorem

37^2 + 67^2  = d^2

d = 76.54 ft

Answer:

C

Step-by-step explanation:

Answer:

1:3

Step-by-step explanation:

You would ultimately reduce the ratio as a fraction.

3/9 reduces to 1/3

Answer:

There are no options, so I'll just give my help

Step-by-step explanation:

3:9 is the same as 1:3 or 6:18, there are unlimited

answers to this question.

1. Multiply or divide the numerator, 3

and the denominator, 9. They have to be multiply by the same number.

Ex: 3:9

3 times 4 is 12

9 times 4 is 36

12/36 is equal to 3:9. Check the answer choices to see

if they are multiplied or divided by the same number. If they are, it is correct. If it isn't, it's not equal.

Hope this helps.

-Angelo.

Answer:

$60.00

Step-by-step explanation:

75%  OF  X  (original price) = $45

.75x = $45

divide both sides by .75 to isolate X

.75 / .75 = $45 / .75

X= $60

Answer:

-7240

Step-by-step explanation:

The nth term is -10n + 24.

So the combination of the first and second term would be (-10+24)+(-10x2+24) and this would continue for the first 40 terms so the 24s would add up to 24x40=960. Meanwhile, the -10s would keep adding up so it would be -10-20-30-40.... which you can simplify by making it -10(1+2+3+4) all the way to 40 to make the calculation easier... u can further simplify by making 41 = one pair of numbers so 40+1, 39+2 until you get 21+20 so ur left with -10(20 pairs of 41) so -10(20x41) = -10(820)= -8200.

Add this to your initial 960 so

-8200 +960 = -7240

Hope this helps

Answer:

C

Step-by-step explanation:

.....................c is the answer

Answer:g(x) = f(x) + 1.5

Step-by-step explanation:g(x) = f(x) + 1.5g(x) = f(x) + 1.5g(x) = f(x) + 1.5g(x) = f(x) + 1.5g(x) = f(x) + 1.5g(x) = f(x) + 1.5g(x) = f(x) + 1.5g(x) = f(x) + 1.5g(x) = f(x) + 1.5g(x) = f(x) + 1.5g(x) = f(x) + 1.5g(x) = f(x) + 1.5g(x) = f(x) + 1.5g(x) = f(x) + 1.5g(x) = f(x) + 1.5g(x) = f(x) + 1.5g(x) = f(x) + 1.5

N = number of seeds planted

P = probability of germination

K = number that germinated

Using probability calculation:
p(x = k) = (n k) x 0.90^K x 0.10^n-k

p(10) = (12 10) x 0.90^10 x 0.10^2

P(10) = 0.2310

Answer:

Step-by-step explanation:

Explanation

6 sprinters are in a race. Any one of the 6 could win. None of them can win 2 medals. So the first result is 6

5 runners remain. The second medal goes to any one of the 5

4 runners remain after 1 of the 5 have been choosen.  Any one of the 4 could win.

Answer 6 * 5 * 4 = 120

There are 120 ways of awarding 3 medals to 6 people.

Answer:

3.56 you little silly dum dum girl

Answer:

A. 3.56

Step-by-step explanation:

I didnt take his answer my big brain knew the answer.