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ss7ja [257]
2 years ago
6

I need help with questions 3 and 4

Mathematics
1 answer:
nlexa [21]2 years ago
6 0

Step-by-step explanation:

3)

7billion = 5 {e}^{15r} \\ 1.4billion =  {e}^{15r}  \\ ln(1.4 \: billion) = 15r \\ 21.0597 = 15r \\ r = 1.404

4) \\  t = 0  \: y= 200 \\200 = a {e}^{0}  \\ a = 200 \\ 800 = 200 {e}^{8k}  \\ 4 =  {e}^{8k}  \\ ln(4) = 8k \\ k = 0.1733

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Find the length of arc AD. Use 3.14for r. Round to the nearest tenth.7.9 cmB66.4DС[? ]cmEntar
ch4aika [34]

The first thing we must do is calculate the circumeference:

\begin{gathered} c=2\cdot\pi\cdot r \\ c=2\cdot3.14\cdot7.9 \\ c=49.612 \end{gathered}

now, calculate the angle of arc

360° = 49.612

360° - 66.4° - 180° = x

x = 113.6°

now, to calculate the arc length it would be:

undefined

5 0
1 year ago
What is the result when −2/3 subtracted from −14/15?
disa [49]

Step-by-step explanation:

14/15 - 2/3 =

14/15 and 2/3 lcm is 15

so 14/15 becomes 14/15

- 2/3 become 10/15

15÷5=3 and 10÷5=2

so 14/15

-10/15=4/15

14-10 = 4

answer is 4/15 and since 15 can't be divided by 4 equally it is in simplest form at 4/15

7 0
2 years ago
A point is reflected across the x-axis. The new point is (7.5,6). What is the distance between these two points?
blagie [28]
Because it was reflected across the x axis, the distance between the two points is twice the distance of the old point from the x axis, and the distance from the old point from the x axis equals the distance from the new point to the x axis. The distance from the x axis is the absolute value of the x=y value. 7.5 is the y value, meaning the point is 7.5 units away from y=0, the x axis. The new point is twice this from the old point. 7.5 x 2 = 15. The new point is 15 units away from the old point.
4 0
3 years ago
Which multiplication and addition problem can help you check your work for 5 ÷ 4 * 1 point 2 x 1 = 2, 2 + 3 = 5 4 x 1 = 4, 4 + 1
denpristay [2]

Answer:don't know

Step-by-step explanation:

4 0
3 years ago
What dose 2+7x=5x+14 equal
weqwewe [10]

Answer:

x=6

Step-by-step explanation:

2+7x=5x+14

Subtract 2 from both sides:

2+7x-2=5x+14-2

7x=5x+12

Subtract 5x from both sides:

7x-5x=5x+12-5x

2x=12

Divide both sides by 2:

\frac{2x}{2}=\frac{12}{2}

x=6

3 0
3 years ago
Read 2 more answers
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