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tekilochka [14]
3 years ago
7

A hiker in Africa discovers a skull that contains 32% of its original amount of C-14. Find the age of the skull to the nearest y

ear.
Mathematics
1 answer:
kap26 [50]3 years ago
6 1

Answer:you know that N=0.41No so if you sub that in the No's cancel and you get 0.41=e^-kt.

solving for t you get t=(ln0.41)/(-k)=8915.98=8916 (to the nearest year)

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Mr. King has 36 pair of shoes. 3/4 of them are gym shoes, how many of his shoes are gym shoes
Alex777 [14]

Answer:

The number of pair of gym shoes does Mr. king has is 27 pairs .

Step-by-step explanation:

Given as :

Total number of pairs of shoes does king has = 36 pairs

The number of gym shoes = \dfrac{3}{4} of the total pairs of shoes

Let The number of pair of gym shoes = n

<u>According to question</u>

The number of gym shoes = \dfrac{3}{4}  × the total pairs of shoes

Or, n = \dfrac{3}{4}  × 36

i.e n = \frac{3\times 36}{4}

Or, n = 3 × 9

∴   n = 27

So, The number of pair of gym shoes = n = 27 pairs

Hence, The number of pair of gym shoes does Mr. king has is 27 pairs . Answer

6 0
3 years ago
What is the answer ?
kifflom [539]
The system of inequalities is the following:

i) <span>y ≤ –0.75x
ii)</span><span>y ≤ 3x – 2

since </span>0.75= \frac{75}{100}= \frac{3}{4}, we can write the system again as 

i) y \leq - \frac{3}{4}x
ii) y  \leq 3x-2

Whenever we are asked to sketch the solution of a system of linear  inequalities, we:

1. Draw the lines
2. Color the regions of the inequalities.
3. The solution is the region colored twice.


A.

to draw the line y =- \frac{3}{4}x

consider the points: (-4, 1) and (0, 0), or any 2 other points (x,y) for which y =- \frac{3}{4}x hold.

since we have an "smaller or equal to" inequality, the line is a solid line (not dashed, or dotted).

In order to find out which region of the line to color, consider a point not on the line, for example P(1, 1), which is clearly in the upper region of the line.

For (x, y)=(1, 1) the inequality y  \leq - \frac{3}{4}x, does not hold because 

1 \leq - \frac{3}{4}*1= -\frac{3}{4} is not true,

this means that the solution is the region of the line not containing (1, 1), as shown in picture 1.


B.
similarly, to draw the solution of inequality ii) y ≤ 3x – 2, 

we first draw the line y=3x-2, using the points (0, -2) and (2, 4), or any other 2 points (x,y) for which y=3x-2 holds.

after we draw the line, we can check the point P(1, 7) which clearly is above the line y=3x-2.

for (x, y) = (1, 7), the inequality y ≤ 3x – 2 does not hold

because 7 is not ≤ 3*1-2=1, so the region we color is the one not containing P(1, 7), as shown in picture 2.


The solution of the system is the region colored with both colors, the solid lines included. Check picture 3.

the lines intersect at (0.533, -0.4) because:

–0.75x=3x-2
-0.75x-3x=-2
-3.75x=-2, that is x= -2/(-3.75)=0.533

for x=0.533, y=3x-2=3(0.533)-2=-0.4

Answer: Picture 3, the half-lines included. So the graph is in the 3rd and 4th Quadrants

8 0
3 years ago
Please help domain/range and eqation
Elena-2011 [213]
Domain: (infinity, 4]
range: [-6, infinity)
4 0
2 years ago
G) (-6t + 2z) - (7z - 7t)​
vodomira [7]

Answer:

-13t - 5z

Step-by-step explanation:

-6t + 2z - 7z - 7t

= -13t - 5z

3 0
2 years ago
I need help with this math problem <br> -3(4x-5)=123h
Otrada [13]
The answer to your question is h=-4/41x+5/41
4 0
3 years ago
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