1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
blsea [12.9K]
2 years ago
9

An athlete runs 6 miles in 1 hour on a treadmill. At this rate, how long will it

Mathematics
2 answers:
Rasek [7]2 years ago
8 0

Answer:

150 minutes

Step-by-step explanation:

kirza4 [7]2 years ago
4 0

Answer:

2 hours and 30 minutes

Step-by-step explanation:

So if he runs for 2 hours it'll be 12 hours out of the 15, and if he only needs 3 more hours instead of 6, he'd have to only run half of the 6 hours, which would be 30 minutes

You might be interested in
05 - O gráfico a seguir mostra a prevalência de obesidade da
dezoksy [38]
I don’t know spanish sorry
3 0
3 years ago
What is the median for 76,84,93,67,82,and 76
Lapatulllka [165]
First arrange the numbers from least to greatest:

67, 76, 76, 82, 84, 93

The median is the middle number. But since we have two numbers that are in the middle we have to find the average of them.

76 + 82 = 158
158/2 = 79

So your answer is 79
3 0
3 years ago
Read 2 more answers
For the function f(x) = –5x, which ordered pair will be a point on the graph of the function?
Drupady [299]
It's D: (0,0)
This is because when you put 0 in for x your y value will equal 0 and that is one of your answers, so it's the point (0,0) 
8 0
3 years ago
The graphs of the polar curves r = 4 and r = 3 + 2cosθ are shown in the figure above. The curves intersect at θ = π/3 and θ = 5π
Gennadij [26K]
(a)

\displaystyle \frac{1}{2} \cdot \int_{\frac{\pi}{3}}^{\frac{5\pi}{3}} \left(4^2 - (3 + 2\cos\theta)^2 \right) \, d\theta

or, via symmetry

\displaystyle\frac{1}{2} \cdot 2 \int_{\frac{\pi}{3}}^{\pi} \left(4^2 - (3 + 2\cos\theta)^2 \right) \, d\theta

____________

(b)

By the chain rule:

\displaystyle \frac{dy}{dx} = \frac{ dy/ d\theta}{ dx/ d\theta}

For polar coordinates, x = rcosθ and y = rsinθ. Since
<span>r = 3 + 2cosθ, it follows that

x = (3 + 2\cos\theta) \cos \theta \\ &#10;y = (3 + 2\cos\theta) \sin \theta

Differentiating with respect to theta

\begin{aligned}&#10;\displaystyle \frac{dy}{dx} &= \frac{ dy/ d\theta}{ dx/ d\theta} \\&#10;&= \frac{(3 + 2\cos\theta)(\cos\theta) + (-2\sin\theta)(\sin\theta)}{(3 + 2\cos\theta)(-\sin\theta) + (-2\sin\theta)(\cos\theta)} \\ \\&#10;\left.\frac{dy}{dx}\right_{\theta = \frac{\pi}{2}}&#10;&= 2/3&#10;\end{aligned}

2/3 is the slope

____________

(c)

"</span><span>distance between the particle and the origin increases at a constant rate of 3 units per second" implies dr/dt = 3

A</span>ngle θ and r are related via <span>r = 3 + 2cosθ, so implicitly differentiating with respect to time

</span><span />\displaystyle\frac{dr}{dt} = -2\sin\theta \frac{d\theta}{dt} \quad \stackrel{\theta = \pi/3}{\implies} \quad 3 = -2\left( \frac{\sqrt{3}}{2}}\right) \frac{d\theta}{dt} \implies \\ \\ \frac{d\theta}{dt} = -\sqrt{3} \text{ radians per second}
5 0
3 years ago
Positive negative or no correlation?
bixtya [17]

Answer:

positive correlation

6 0
3 years ago
Read 2 more answers
Other questions:
  • The formula for the circumference of a circle is C = 2πr, where r is the radius. Rearrange the formula to solve for r and select
    13·2 answers
  • Hi I need help on my math the mid-chapter checkpoint
    13·1 answer
  • What is the parent function for y = (x-2)^2 - 5?
    14·1 answer
  • HELP ME LOOK AT THE PICTURE!!! ASAP
    12·1 answer
  • Which is an equation of the line through (-1, -4) and parallel to the line 3x + 7 = 5
    8·1 answer
  • I just need some help on number 7
    13·1 answer
  • A triangle has side lengths of x, x+11, and 3x+5.<br><br> What is the perimeter?
    5·2 answers
  • What is the equation of the line that passes through the point (4,-2)(4,−2) and has a slope of -2−2?
    8·2 answers
  • Mark’s Pool Repair charges $50 for a service call, plus $40/h for labour. Jennifer’s Pools and Spas charges $30 for a service ca
    9·1 answer
  • <img src="https://tex.z-dn.net/?f=%5Csqrt%7B29-12%5Csqrt%7B5%7D" id="TexFormula1" title="\sqrt{29-12\sqrt{5}" alt="\sqrt{29-12\s
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!