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4 years ago

Grace starts with 100 milligrams of a radioactive substance. The amount of the

Mathematics

2 answers:

love history [14]4 years ago

8 0

Answer:

100 is grace's initial amount. w is how much of the substance is being decrased each week. in ryan's equation, 1 is 100% of the substance, so the initial amount, and 0.4 is the amount that is being decreased.

Step-by-step explanation:

Leona [35]4 years ago

4 0

Answer:

100= Initial Amount

1/4= decay factor for each week

w= number of weeks

1/4w= decay factor after w weeks

1 - 0.4= decay factor for each week

w= number of weeks

0.4= percent decrease

Step-by-step explanation:

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While traveling across flat land, you notice a mountain directly in front of you. The angle of elevation to the peak is 1.5°. Af

labwork [276]

Answer:

0.68 miles

Step-by-step explanation:

Let's say that the height of the mountain is h

The distance between the mountain and the car, after moving 23 miles closer to the mountain, will be x (let's pose it as x for now)

tan(1.5°) = opposite/adjacent = h/23 + a

=> h = (23 + a)tan(1.5°) ---- (1)

tan(13°) = h/a

=> h = a(tan(13°)) ---- (2)

Now since h is common among the two equations, we can equate them;

$\left(23+a\right)\tan \left(1.5^{\circ \:}\right)=a\left(\tan \left(13^{\circ \:}\right)\right),\\23\tan \left(1.5^{\circ \:}\right)+\tan \left(1.5^{\circ \:}\right)a=\tan \left(13^{\circ \:}\right)a,\\\\\tan \left(1.5^{\circ \:}\right)a-\tan \left(13^{\circ \:}\right)a=-23\tan \left(1.5^{\circ \:}\right),\\\left(\tan \left(1.5^{\circ \:}\right)-\tan \left(13^{\circ \:}\right)\right)a=-23\tan \left(1.5^{\circ \:}\right),\\\\$

$a=\frac{23\tan \left(1.5^{\circ \:}\right)}{\tan \left(13^{\circ \:}\right)-\tan \left(1.5^{\circ \:}\right)} = 2.94249...$

$h = 2.94249tan\left(13^{\circ }\right) = 0.67932\dots$

The height of the mountain ≈ 0.68 miles

6 0

3 years ago

Which integer in the set has the smallest value (-25, -5, -13, 3)?

Eddi Din [679]

Answer:

-25 has the smallest value of this integer

Step-by-step explanation:

because the bigger integer is there in nagative is always less then it's smaller one

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3 years ago

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The equation y=2x represent and set of data. Which statement is NOT true.

Irina18 [472]

Answer:

Step-by-step explanation:

The 2x is the slope which is another name for unit rate and constant of proportionality

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3 years ago

A car travels 17 miles on one gallon of gas.

andreev551 [17]

Answer:

y=17x

Step-by-step explanation:

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3 years ago

HELP QUICKLY!!!! WILL MARK BRAINLIEST!!!

aniked [119]

The volume of a cone is equal to (pi*r^2*h)/3

(pi*25*2)/3= 52.35987...

Density = mass/volume

d= 6 grams/ 52.35987 cm^3= 0.11459...

Final answer: D

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3 years ago

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