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kirill [66]
3 years ago
10

Starting with 195 grams of a radioactive isotope, how much will be left after 3 half-lives?

Mathematics
1 answer:
MrMuchimi3 years ago
4 0
After one half-life:  \frac{1}{2}\times 195=97.5 grams.

After two half-lives:  \frac{1}{2} \times 97.5=48.75 grams.

After three half-lives: \frac{1}{2} \times 48.75=24.375 grams.
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Val measures the diameter of a ball as 6 inches. How many cubic inches of air does this ball hold, to the nearest tenth? Use 3.1
7nadin3 [17]

Answer:

The ball holds 113.0 cubic inches of air

Step-by-step explanation:

Firstly we need to know the shape of the ball

A ball is spherical in shape

So to know the number of cubic inches, we have to find the volume of air in the ball

Mathematically, we can do this by finding the volume of the ball using the formula for the volume of a sphere

The formula for the volume of a sphere is ;

V = 4/3 * pi * r^3

in this case, r = d/2 = 6 /2 = 3 inches

where r is the radius of the ball and d is the diameter of the ball

So, substituting these values , we have

V = 4/3 * 3.14 * 3^3 = 113.0 cubic inches

3 0
2 years ago
Which side of the dilation corresponds to side AC of the original figure?
Sav [38]
It is A'C' because when the figure is dilatted the corresponding figure has " by it.

hopes this helps :)

8 0
3 years ago
What is the value of x to the nearest degree?<br> A.32 <br> B.85<br> C.82<br> D.58
dangina [55]

Answer:

m∠x ≈ 32°

Step-by-step explanation:

We can see that we have to use tan∅ to solve this (opposite over adjacent)

tan(x) = 7/11

x = tan^-1 (7/11)

x = 32.4712

4 0
3 years ago
Read 2 more answers
While visiting Wallawulla State​ Park, Joe approximated the angle of elevation to the top of a mound to be 40 degrees . After wa
katen-ka-za [31]

Answer:

Height of mound = 794 ft

Step-by-step explanation:

To illustrate the angle of elevation and distance, i have drawn it and attached below.

Now, from my diagram;

h = the height of the mound

At his first point of his trip to the foot of the mound, the angle of elevation is 40°, while the horizontal distance to the foot of the mound is "X"

So, by triangle definition,

tan(40°) = h/x

And so;

h = x tan40

h = 0.8391x  - - - - (eq 1)

At his second point of the trip to the foot of the mound, Joe is now,

"(x - 450) ft" from the foot of the mound.

Thus, his angle of elevation is 40 + 18 = 58°.

So, by triangle definition,

tan(58°) = h/(x - 450)

h = (x - 450)•(tan(58°))

h = 1.6003(x - 450)

h = 1.6003x - 720.135   - - - - -(eq2)

To get the height(h) of the mound, let's equate (eq1) to (eq2).

0.8391x = 1.6003x - 720.135

1.6003x - 0.8391x = 720.135

0.7612x = 720.135

x = 720.135/0.7612

x = 946.0523 ft

Let's put this value for x in eq (1);

h = 0.8391 x 946.0523 = 793.83 ft ≈ 794ft

4 0
3 years ago
What is the answer 27x^3-1=0
chubhunter [2.5K]
X=cubic root 2/27
Glad to help
6 0
3 years ago
Read 2 more answers
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