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Illusion [34]
2 years ago
14

Your 2-liter bottle of Urikium, which has a half-life of 72 days, gets spilled on your parents rug. How much will remain in the

rug in 200 days?
Mathematics
1 answer:
Korvikt [17]2 years ago
4 0

Answer:

291.63 ml

Step-by-step explanation:

200/72 2.7778 half lives

(1/2)^2.77777 =   .1458        or    291.63 ml

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Use the fundamental identities and appropriate algebraic operations to simplify the following expression. (18 +tan x) (18-tan x)
andrezito [222]

Answer:

a) \left(18+\tan \left(x\right)\right)\left(18-\tan \left(x\right)\right)+\sec ^2\left(x\right)=325

b) The lowest point of y=\cos \left(x\right), 0\leq x\leq 2\pi is when x = \pi

Step-by-step explanation:

a) To simplify the expression \left(18+\tan \left(x\right)\right)\left(18-\tan \left(x\right)\right)+\sec ^2\left(x\right) you must:

Apply Difference of Two Squares Formula: \left(a+b\right)\left(a-b\right)=a^2-b^2

a=18,\:b=\tan \left(x\right)

\left(18+\tan \left(x\right)\right)\left(18-\tan \left(x\right)\right)=18^2-\tan ^2\left(x\right)=324-\tan ^2\left(x\right)

324-\tan ^2\left(x\right)+\sec ^2\left(x\right)

Apply the Pythagorean Identity 1+\tan ^2\left(x\right)=\sec ^2\left(x\right)

From the Pythagorean Identity, we know that 1=-\tan ^2\left(x\right)+\sec ^2\left(x\right)

Therefore,

324[-\tan ^2\left(x\right)+\sec ^2\left(x\right))]\\324[+1]\\325

b) According with the below graph, the lowest point of y=\cos \left(x\right), 0\leq x\leq 2\pi is when x = \pi

3 0
3 years ago
Area of a 12 ft circle
Mnenie [13.5K]
113.10 feet, 16,286 square inches, 12.566 square yards, 10.507 square meters, 105,071 square centimeters
4 0
2 years ago
Multiply and show all steps please!!
Mazyrski [523]

the answer is 80 take the positive and negative and use the sign change rule

5 0
3 years ago
Read 2 more answers
8. Graph the following linear equations.<br> a. X=3
saul85 [17]
Put a dot on the 3 on the X-axis. (0,3)
3 0
3 years ago
A giant scoop, operated by a crane, is in the shape of a hemisphere of radius 24 inches. The scoop is filled with molten steel.
shtirl [24]

Answer:

40 inches

Step-by-step explanation:

Volume, V of hemisphere = 2/3 π r^3

Radius, r = 24 inches ;

V = 2/3 π 24^3

V = 28952.917 in³

Volume of cylinder = π r^2 * h

h = height ; r = Radius = 32 /2 = 16 inches

Volume of hemisphere = volume of cylindrical tank

28952.917 = π (16)^2 * h

28952.917 = 804.24771h

h = 28952.917 / 804.24771

h = 35.9999

h = 40 inches

Molten stell rise is 40 inches

6 0
2 years ago
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