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yuradex [85]
4 years ago
6

Which phrases describe the relationship between heart rate and daily intake of caffeine? Check all that apply. negative correlat

ion increasing heart rate constant correlation positive correlation decreasing heart rate
Mathematics
2 answers:
inn [45]4 years ago
8 0
Increasing heart rate and positive correlation<span />
adell [148]4 years ago
3 0

A positive correlation means that two entities are directly proportional to each other. If the value of one increases, the value of the second also increases. Similarly, if the value of one deceases, the other one also decreases.

Hence, there is a positive correlation between the two things-heart rate and daily intake of caffeine.

So, the correct options are - increasing heart rate and positive correlation.

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[50 pts] An even number, n, times the next consecutive number, n + 2, is equal to 168. Find the original number.
ale4655 [162]

<u>We are given:</u>

An even number 'n', multiplied by the next consecutive even number is 168

<u>Solving for n:</u>

From the given statement, we can say that:

n(n+2) = 168                      [<em>n multiplied by the next even number 'n+2'</em>]

n² + 2n = 168

n² + 2n - 168 = 0               [<em>subtracting 168 from both sides</em>]

We can see that we now have a quadratic equation, solving using splitting the middle term

n² + 14n - 12n - 168 = 0

n(n + 14) -12(n + 14) = 0      <em>[factoring out common terms</em>]

(n-12)(n+14) = 0

Here, we can divide both sides by either (n-12) OR (n+14)

Checking the result in both the cases:

(n + 14) = 0/(n-12)                     (n-12) = 0/(n+14)

n + 14 = 0                                 n - 12 = 0

n = -14                                      n = 12

Both these values are even and since we are not told if the number 'n' is positive or negative, both 12 and -14 are the possible values of n

4 0
3 years ago
a rectangle has an area of 34 sqaure feet. A larger rectangle has an area of 124 sqaure feet. what is the percent increase of th
amid [387]

Answer:

<u>The difference in areas:</u>

  • 124 - 34 = 90 square feet

<u>Percent increase:</u>

  • 90/34*100% = 264.71%
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3 years ago
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3 years ago
If two angles are supplementary and one angle is 81°, what does the second angle measure?
ankoles [38]

Answer:

Step-by-step explanation:\geq \\ \sqrt{x}

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3 years ago
Which expression is equivalent to
Tasya [4]

Answer:

1/x^24

Step-by-step explanation:

(x^-6/x^2)^3 multiply the powers inside the parenthesis by power outside of the parenthesis to get rid of parenthesis

x^-6×3/x^2×3 = x^-18/x^6

subtract the denominator's power from nominator's power

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