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ratelena [41]
3 years ago
13

Combine like terms. What is a simpler form of each expression? 30 - 5d - C + 3d

Mathematics
2 answers:
borishaifa [10]3 years ago
4 0

30 - 5d - c + 3d

In this equation there are two numbers which have the letter d with them. These would be like terms.

You have -5d + 3d which equals -2d

The simplified form would be 30 -2d -c

satela [25.4K]3 years ago
3 0

Answer:

30 -C -2d

Step-by-step explanation:

30 - 5d - C + 3d

Combine like terms

30  -C - 5d + 3d

30 -C -2d

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Question 3 (1 point) Co-60 has a half life of 5.3 years. If a pellet that has been in storage for 26.5 years contains 14.5g of C
Zarrin [17]

Answer:

464 grams.

Step-by-step explanation:

Amount of substance:

The amount of substance after t years is given by an equation in the following format:

A(t) = A(0)(1-r)^t

In which A(0) is the initial amount and r is the decay rate, as a decimal.

Co-60 has a half life of 5.3 years.

This means that:

A(5.3) = 0.5A(0)

We use this to find r. So

A(t) = A(0)(1-r)^t

0.5A(0) = A(0)(1-r)^{5.3}

(1-r)^{5.3} = 0.5

\sqrt[5.3]{(1-r)^{5.3}} = \sqrt[5.3]{0.5}

1 - r = 0.5^{\frac{1}{5.3}}

1 - r = 0.8774

So

A(t) = A(0)(0.8774)^{t}

If a pellet that has been in storage for 26.5 years contains 14.5g of Co-60, how much of this radioisotope was present when the pellet was put in storage?

We have that A(26.5) = 14.5, and use this to find A(0). So

A(t) = A(0)(0.8774)^{t}

14.5 = A(0)(0.8774)^{26.5}

A(0) = \frac{14.5}{(0.8774)^{26.5}}

[tex]A(0) = 464[tex]

464 grams.

3 0
3 years ago
In boot camp a cadet must use a rope swing to cross an obstacle without falling into the water hazard below. Unfortunately they
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Answer:

732.21 m

Step-by-step explanation:

Given the time taken by cadet to cross an obstacle and swing back to where he started = 5.5 seconds

The formula for a complete oscillation(to and fro) period is

<h2>T = 2π * √(L/g)</h2>

where:

<em>T is the period of oscillations</em><em> - time that it takes for the pendulum to complete one full back-and-forth movement.</em>

<em />

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<em />

<em>g is the acceleration of gravity, which</em><em> is equal to 9.81 m/s^2 </em>

5.5 = 2 π √(L / 9.81)

5.5/2π = √(L / 9.81)

8.64 = √L / 9.81

8.64 ² = L / 9.81

74.64 = L / 9.81

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3 years ago
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A student is taking a​ multiple-choice exam in which each question has two choices. Assuming that she has no knowledge of the co
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Answer: Hi!

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Answer:

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Reminder:

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