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Fudgin [204]
2 years ago
5

Find the slope of the line on the graph. Write your answer as a fraction or whole number, but a mixed number or decimal.

Mathematics
1 answer:
kolbaska11 [484]2 years ago
5 0

Answer:

-1/4

Step-by-step explanation:

Rise over run

Rises -1 runs 4

slope = -1/4

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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
In the formula A(t) = A0ekt, A(t) is the amount of radioactive material remaining from an initial amount A0 at a given time t an
Alenkasestr [34]

Answer:  693 years

Step-by-step explanation:

Expression for rate law for first order kinetics is given by:

A(t) =A_0e^{kt}

k = rate constant

t = time taken for decomposition = 1

A_0 = Initial amount of the reactant

A_t = amount of the reactant left =A_0-\frac{0.1}{100}\times A_0=0.999A_0

0.999A_0=A_0e^{k\times 1}

0.999=e^k

k=-0.001year^{-1}

for half life : t=t_\frac{1}{2}

A_t=\frac{1}{2}A_o

Putting in the values , we get

\frac{1}{2}A_0=A_0e^{-0.001\times t_\frac{1}{2}

t_\frac{1}{2}=693 years

Thus half life of this isotope, to the nearest year is 693.

8 0
3 years ago
Find the perimeter of a rectangle if one side is 3x and the other side is 6x.
dexar [7]

Answer:

18x

Step-by-step explanation:

2(3x+6x)

6 0
3 years ago
Help asap! what does sinø=
RoseWind [281]

Answer:

-3/5

Step-by-step explanation:

Pythagorean formula :

x^2 + y^2 = r^2

(-8)^2 + (-6)^2 = r^2

64 + 36 = 100

r^2 = 100

r= 10

sin is the y coordinate over the radius :

-6/10

-3/5

8 0
3 years ago
The quotient of 2 and the sum of a number and 1.
snow_lady [41]

Answer:

2 / (x + 1).

Step-by-step explanation:

If the number is represented by x the expression is:

2 / (x + 1).

5 0
3 years ago
Read 2 more answers
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