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aivan3 [116]
3 years ago
8

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

Mathematics
2 answers:
Nana76 [90]3 years ago
5 0

Answer:

A positive correlation

Step-by-step explanation:

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.

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

When caffeine intake is high then the heart rate is also high.

Thus a positive correlation can be seen here.

goblinko [34]3 years ago
4 0
- Increasing heart rate 
- positive correlation 
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the area of a rectangle is 54x^9y^8 square yards if the length of the rectangle is 6x^3y^4 yards what expression represents the
Vinvika [58]
The area of a rectangle is given by:
 A = (w) * (l)
 Where,
 w: width
 l: long
 Substituting values we have:
 (54x ^ 9y ^ 8) = (w) * (6x ^ 3y ^ 4)
 Clearing w we have:
 w = (54x ^ 9y ^ 8) / (6x ^ 3y ^ 4)
 Rewriting:
 w = (9 * x ^ 6y ^ 4)
 Answer:
 
the length of the rectangle is:
 
w = (9 * x ^ 6y ^ 4)
5 0
3 years ago
CALCULUS: For an object whose velocity in ft/sec is given by v(t) = sin(t), what is its distance, in feet, travelled on the inte
rodikova [14]

The linked answer is wrong because that integral gives you the net displacement of the object, not the total distance.

To get the distance, you have to integrate the speed (as opposed to velocity), which involves integrating the absolute value of the velocity function.

\mathrm{distance} = \displaystyle\int_1^5 |\sin(t)| \,\mathrm dt

By definition of absolute value,

|\sin(t)|=\begin{cases}\sin(t)&\text{for }\sin(t)\ge0\\-\sin(t)&\text{for }\sin(t)

Over this particular integration interval,

• sin(<em>t</em> ) ≥ 0 for 1 ≤ <em>t</em> < <em>π</em>, and

• sin(<em>t</em> ) < 0 for <em>π</em> < <em>t</em> ≤ 5

so you end up splitting the integral at <em>t</em> = <em>π</em> as

\mathrm{distance} = \displaystyle\int_1^\pi \sin(t)\,\mathrm dt + \int_\pi^5 (-\sin(t))\,\mathrm dt

Now compute the distance:

\mathrm{distance} = -\cos(t)\bigg|_1^\pi + \cos(t)\bigg|_\pi^5

\mathrm{distance} = -(\cos(\pi) - \cos(1)) + (\cos(5) - \cos(\pi))

\mathrm{distance} = -2\cos(\pi) + \cos(1) + \cos(5) \approx 2.82

making B the correct answer.

7 0
3 years ago
Find the slope of the graph
zhuklara [117]

Answer:

Slope = \frac{3}{2}

Step-by-step explanation:

Slope = \frac{6}{4} =\frac{3}{2}

4 0
3 years ago
Please answer ASAP. You begin with 1/2 scoop of ice cream. Since you're hungry, you ask the vendor for 2/7 more scoops of ice cr
katen-ka-za [31]

Answer:

9/56

Step-by-step explanation:

\frac{1}{2}  +  \frac{2 }{7}  -  \frac{5}{8 }  =  \frac{9}{56}

6 0
4 years ago
Read 2 more answers
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kotykmax [81]

Answer:

Commutative property of multiplication.

Step-by-step explanation:

This property says that changing the order of factors doesn't change the product.

Here 5×3 will be 15..... If we interchange the places of 3 & 5 , still then the product will remain same i.e. 3×5 = 15

3 0
4 years ago
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