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Gennadij [26K]
3 years ago
13

An environmental agency studying the effects of drought on a lake found that the water level decreased at a constant rate during

the first few months of the drought. When the agency began its research, the depth of the lake was 346 feet. The table represents the agency’s susequent observations about the lake's depth.
Which equation represents the depth of the lake, y, based on the number of weeks passed, x?

y = -0.6x + 346

y = -1.2x + 346

y = -0.6x

y = -1.2x
Mathematics
2 answers:
Ad libitum [116K]3 years ago
6 0

Answer:

y = -0.6x + 346

Step-by-step explanation:

dybincka [34]3 years ago
5 0
"y = -0.6x + 346" is the one equation among the choices given in the question that <span>represents the depth of the lake, y, based on the number of weeks passed, x. The correct option among all the options that are given in the question is the first option. I hope that this is the answer that has helped you.</span>
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Either Roman has a date with Malou, or Jeff is sleeping or Hadji is eating.
hjlf
Given that o<span>ne Friday night, Roman and Malou are busy studying for their Logic exam. Meanwhile, Hadji just tweeted a picture of himself eating crispy pata and sisig. Jeff is sound asleep in his dorm room.

Part A:

The truth value of </span>"Either Roman has a date with Malou, or Jeff is sleeping or Hadji is eating." is obtained as follows:

From the scenario, the truth value of the individual statements are as follows:

<span>Roman has a date with Malou is True
</span>
<span>Jeff is sleeping is True
</span>
<span>Hadji is eating is True

Thus, the truth value of "True" or "True" or "True" is True.

Therefore, the truth value of "</span><span>Either Roman has a date with Malou, or Jeff is sleeping or Hadji is eating." is True.



Part B:

</span>The truth value of "Either Jeff is sleeping or Hadji is not eating" is obtained as follows:

From the scenario, the truth value of the individual statements are as follows:

<span>Jeff is sleeping is True
</span>
<span>Hadji is not eating is False

Thus, the truth value of "True" or "False" is True.</span>

Therefore, the truth value of "Either Jeff is sleeping or Hadji is not eating" is True.



Part C:

The truth value of "Roman and Malou are on a date and Jeff is sleeping, or Hadji is not eating." is obtained as follows:

From the scenario, the truth value of the individual statements are as follows:

Roman and Malou are on a date is True

<span>Jeff is sleeping is True
</span>
<span>Hadji is not eating is False

The truth value of "True" and "True" is True.
The truth value of "True" or "False" is True.

Thus, the truth value of ("True" and "True") or "False" is True.
</span>
Therefore, the truth value of "Roman and Malou are on a date and Jeff is sleeping, or Hadji is not eating." is True.
6 0
3 years ago
Read 2 more answers
3/9 + 3/27 = ? Adding fractions
RideAnS [48]
\frac{3}{9} + \frac{3}{27} equals \frac{4}{9}.

First, simplify \frac{3}{9} to \frac{1}{3} and also \frac{3}{27} to \frac{1}{9}. Your problem should look like: \frac{1}{3} + \frac{1}{9}.
Second, find the least common denominator of \frac{1}{3} and \frac{1}{9} to get 9.
Third, make the denominators the same as the least common denominator (LCD). Your problem should look like: \frac{1x3}{3x3} + \frac{1}{9}.
Fourth, simplify to get the denominators the same. Your problem should look like: \frac{3}{9} + \frac{1}{9}.
Fifth, join the denominators. Your problem should look like: \frac{3+1}{9}.
Sixth, simplify. Your problem should look like: \frac{4}{9}, which is the answer.

4 0
3 years ago
If the dimensions of a rectangular prism are 39 mm × 12 mm × 15 mm, then what is the surface area
grin007 [14]

Answer:

\huge\boxed{SA=2466\ (mm^2)}

Step-by-step explanation:

The formula of a Surface Area of a rectangular prisms:

SA=2(lw+lh+wh)

<em>l</em><em> - length</em>

<em>w</em><em> - width</em>

<em>h</em><em> - height</em>

<em />

We have:

l=39mm;\ w=12mm;\ h=15mm

Substitute:

SA=2\bigg((39)(12)+(39)(15)+(12)(15)\bigg)\\\\SA=2(468+585+180)\\\\SA=2(1233)\\\\SA=2466\ (mm^2)

5 0
3 years ago
Use the given conditional statement to determine the converse and inverse statements. If a line is vertical, then it has undefin
Georgia [21]
1) Definitions:

1.1) Inverse statement: negating the hypothesis and the conclusion of the original statement, i.e.:

conditional statement: p → q

inverse: ~p → ~q (the symbol ~ means the negation)

1.2) Converse statement: switching the hypothesis and the conclusion of the conditional statement, i.e.:

conditional statement: p → q

converse: q → p

2)  converse of the given statement

conditional: <span>If a line is vertical, then it has undefined slope.

converse: switch the hypothesis and the conclusion

if a line has undefined slope, then it is vertical <------- answer

</span>3) Inverse of the given statement

conditional: if <span>a line is vertical, then it has undefined slope.

inverse: negate both hypothesis and conclusion.

 </span>if a line is not vertical, then it does not have an undefined slope <---answer

8 0
3 years ago
What is the product of R and T equals r = 5.33 and T equals 0.5
Veseljchak [2.6K]
I believe you just multiply the two numbers together and get 2.665
3 0
3 years ago
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