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3 years ago

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An anchor is released from a boat and begins sinking. Its velocity after it hits the water can be expressed as -8 feet per secon

d. Where is the anchor with respect to the surface 4 seconds after it hits the water?
Answer choices:
(A) -12ft (B) 12ft (C) 32ft (D) -32ft

1 answer:

Nitella [24]3 years ago

6 0

The answer is (D) -32ft

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The core melt- down and explosions at the nuclear reactor in Chernobyl in 1986 released large amounts of strontium-90, which dec

elena-14-01-66 [18.8K]

If $S(t)$ is the amount of strontium-90 present in the area in year $t$ , and it decays at a rate of 2.5% per year, then

$S(t+1)=(1-0.025)S(t)=0.975S(t)$

Let $S(0)=s$ be the starting amount immediately after the nuclear reactor explodes. Then

$S(t+1)=0.975S(t)=0.975^2S(t-1)=0.975^3S(t-2)=\cdots=0.975^{t+1}S(0)$

or simply

$S(t)=0.975^ts$

So that after 50 years, the amount of strontium-90 that remains is approximately

$S(50)=0.975^{50}s\approx0.282s$

or about 28% of the original amount.

We can confirm this another way; recall the exponential decay formula,

$S(t)=se^{kt}$

where $t$ is measured in years. We're told that 2.5% of the starting amount $s$ decays after 1 year, so that

$0.975s=se^k\implies k=\ln0.975$

Then after 50 years, we have

$S(50)=se^{50k}\approx0.282s$

5 0

3 years ago

For one Geometry test, Nancy correctly answered 18 questions. These correct answers gave her a percent score of 72%. In total, h

Brrunno [24]

Answer:

25 questions.

Step-by-step explanation:

Correct answer = 18

The percent score of the correct answers is 72%.

Let there are x questions in the test. So,

According to the given condition,

$72\%\ of\ x=18\\\\\dfrac{72}{100}x=18\\\\x=\dfrac{18\times 100}{72}\\\\x=25$

Hence, there were 25 questions in the geometry test.

4 0

3 years ago

What the circumference of a circle with a diameter of 25 inches use 3.14 for pi?

Snowcat [4.5K]

Answer:

78.5 inches

Step-by-step explanation:

The formula for the circumference of a circle is $\pi d$ .

So the circumference of this circle is $3.14*25=78.5$ (in)

4 0

2 years ago

What is negative 1 and three fifths divided by negative two thirds equals?

Rudik [331]

It's visually better to make it an equation.
-1 3/5 ÷ -2/3

The answer is 39/10.

6 0

3 years ago

Read 2 more answers

Please help meeee > THANK YOU!!!!!

vovikov84 [41]

Answer:

39. An adult male Western Banded Gecko is 5 1/2 (or 5.5) inches long.

41. 13,000 feet long, because 1 4/9 of 9,000 is 13,000.

43. to answer the question we need to know if 35 out of 50 states is equal or greater than 3/4 if that is the case, the Constitution will be ammended, and that is represented like this:

35/50 >= 3/4

that inequality is saying that 35 states out of 50 is equal or greater than 3/4, lets simplify and modify the fractions to compare easily:

35/50 >= 3/4

7/10 >= 3/4

now we need to find the least common multiplier of 10 and 4 to take the fractions to a common denominator and compare easy. Lets multiply numerator and denominator for a correct number to get the fractions to denominator common 20, the lcm:

7/10 >= 3/4

(2/2)(7/10) >= (5/5)(3/4)

2*7/2*10 >= 5*3/5*4

14/20 >= 15/20

we can see that the inequality does not hold, so,

35/50 >= 3/4

does not hold either, therefore the Constitution cannot be ammended

40. 10 students play chess and sudoku,

30*2/5 is 12, out of 12; the number of students that play chess,5/6 play sudoku.

So..12*5/6 is 10 and that is the number of students that play both sudoku and chess.

42. Four fifths of 7/8 will be less than 7/8 (because you've multiplied by a number less than 1).

Similarly, 7/8 of 4/5 will be less than 4/5.

This means that the product will be less than each of the original factors.

answer: no

44. The answer is 7/12 because 3/4 - 1/6= 7/12

3/4 converts to 9/12 and 1/6 converts to 2/12. The domanaters stay the same, but 9-2=7. that is how you get 7/12

5 0

3 years ago