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Vinvika [58]
3 years ago
11

A doctor observes a graph that shows the electrical activity (in volts) of the heart of a patient over a period of time (in seco

nds). Each local maximum of 0.004 volts corresponds to one heartbeat. The doctor needs to calculate the heart rate of the patient in beats per minute. What is the heart rate of this patient?
____ beats per minute
​

Mathematics
2 answers:
Doss [256]3 years ago
7 0

Answer:

60 beats per minute

Step-by-step explanation:

I just did it on Khan and it was correct.

hodyreva [135]3 years ago
6 0

Answer:

90 beats per minute

Step-by-step explanation:

By looking at the graph, we see that exactly at second 6, the 9th beat occurs. We can take that to beats/min by multiplying that relation by 10 (since there are ten 6sec in one minute).

9beats every 6sec * 10 = 90beats/min

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Step-by-step explanation:

8 0
2 years ago
Find a point on the curve x^3+y^3=11xy other than the origin at which the tangent line is horizontal.
attashe74 [19]

Compute the derivative dy/dx using the power, product, and chain rules. Given

x³ + y³ = 11xy

differentiate both sides with respect to x to get

3x² + 3y² dy/dx = 11y + 11x dy/dx

Solve for dy/dx :

(3y² - 11x) dy/dx = 11y - 3x²

dy/dx = (11y - 3x²)/(3y² - 11x)

The tangent line to the curve is horizontal when the slope dy/dx = 0; this happens when

11y - 3x² = 0

or

y = 3/11 x²

(provided that 3y² - 11x ≠ 0)

Substitute y into into the original equation:

x³ + (3/11 x²)³ = 11x (3/11 x²)

x³ + (3/11)³ x⁶ = 3x³

(3/11)³ x⁶ - 2x³ = 0

x³ ((3/11)³ x³ - 2) = 0

One (actually three) of the solutions is x = 0, which corresponds to the origin (0,0). This leaves us with

(3/11)³ x³ - 2 = 0

(3/11 x)³ - 2 = 0

(3/11 x)³ = 2

3/11 x = ³√2

x = (11•³√2)/3

Solving for y gives

y = 3/11 x²

y = 3/11 ((11•³√2)/3)²

y = (11•³√4)/3

So the only other point where the tangent line is horizontal is ((11•³√2)/3, (11•³√4)/3).

3 0
2 years ago
-5(2 × -6) inverse operation
Gekata [30.6K]

Answer:

60

Step-by-step explanation:

-5(2×-6)

-5(-12)

60

It should be correct

5 0
2 years ago
What is the answer to this?
ra1l [238]
The answer to your question is = 184
5 0
2 years ago
Read 2 more answers
Consider this expression. -4x to the second power 2x - 5 (1 + x) What expression is equivalent to the given expression? blank x
iren [92.7K]

Answer:

what is the blank for

Step-by-step explanation:

sorry I mean bank

6 0
2 years ago
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