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zaharov [31]
3 years ago
11

6. Jack is x years old

Mathematics
1 answer:
daser333 [38]3 years ago
6 0

Answer:

i didn't understand in third line mate

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You have 480 grams of a radioactive kind of samarium. If its half-life is 90 years,
lisov135 [29]

Answer:

120 grams will be left after 180 years.

Step-by-step explanation:

A radioactive half-life refers to the amount of time it takes for half of the original isotope to decay and its given by

                                             N(t)=N_0(\frac{1}{2})^\frac{t}{t_{1/2}}

where,

N(t) = quantity of the substance remaining

N_0 = initial quantity of the substance

t = time elapsed

t_{1/2} = half life of the substance

From the information given we know that:

  • The initial quantity is 480 g,
  • The half-life is 90 years,
  • 180 years is the time elapsed.

And we want to find how much will be left. For this we use the above formula.

N(t)=480\left(\frac{1}{2}\right)^{\frac{180}{90}}\\\\N(t)=480\left(\frac{1}{2}\right)^2\\\\N(t)=480\cdot \frac{1}{2^2}=120

120 grams will be left after 180 years.

3 0
3 years ago
Given that ∠Ф = 180°, determine the numerical value of this function.
Rudiy27

Answer:

The answer to your question is 3. 0

Step-by-step explanation:

For an angle of 180°:

- hypotenuse = 1

- Adjacent side = 1

- Opposite side = 0

Then, sin Ф = \frac{Opposite side}{Hypotenuse}

         sin 180° = \frac{0}{1}

         sin 180° = 0

8 0
3 years ago
A square garden has an area of 1600 feet length of each side
dimaraw [331]
* <em>L is the Length</em><em /> <em>and A is the Area
</em><em />
L * L = A
L * L = 1600
L^2 = 1600
√L^2 = √1600
L = 40 feet

Answer: The length of each side is 40 feet.

Btw: <em />this was your question "<em>A square garden has an area of 1600 feet length of each side"</em>

When it should be . . .

<em>"A square garden has an area of 1600 feet squared length of each side"</em>
3 0
3 years ago
Find the radius of a circle with circumference of 45.84 meters. Use 3.14
alukav5142 [94]

Answer:

3.8 meters

Step-by-step explanation:

In order to find the circumference for a circle, we use the formula π(radius)²

The circumference give is 45.84 and the π given is 3.14

All we have to do is to just substitute them.

45.84 = 3.14(radius)²

45.84 / 3.14 = radius²

14.6 = radius²

radius = √14.6

radius = 3.82 ≅ 3.8

5 0
3 years ago
Read 2 more answers
Which is the translation of the expression below?
NNADVOKAT [17]
In English, the translation of those symbols is ...

Zero multiplied or divided by anything is zero.
4 0
3 years ago
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