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
Karo-lina-s [1.5K]
2 years ago
12

Jonathan rides his bicycle at an average rate of 17.5 miles per hour. If he rides 2 3/4 hours at this rate of speed, how far doe

s he ride? (Show answer with a mixed number)​
Mathematics
1 answer:
SpyIntel [72]2 years ago
4 0

Step-by-step explanation:

39.375 miles............

You might be interested in
Use the Distributive Property to expand 5(3x-8y)-4
lubasha [3.4K]

Answer:

it should be 60x-160y

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
A given field mouse population satisfies the differential equation dp dt = 0.5p − 410 where p is the number of mice and t is the
ohaa [14]

Answer:

a) t = 2 *ln(\frac{82}{5}) =5.595

b) t = 2 *ln(-\frac{820}{p_0 -820})

c) p_0 = 820-\frac{820}{e^6}

Step-by-step explanation:

For this case we have the following differential equation:

\frac{dp}{dt}=\frac{1}{2} (p-820)

And if we rewrite the expression we got:

\frac{dp}{p-820}= \frac{1}{2} dt

If we integrate both sides we have:

ln|P-820|= \frac{1}{2}t +c

Using exponential on both sides we got:

P= 820 + P_o e^{1/2t}

Part a

For this case we know that p(0) = 770 so we have this:

770 = 820 + P_o e^0

P_o = -50

So then our model would be given by:

P(t) = -50e^{1/2t} +820

And if we want to find at which time the population would be extinct we have:

0=-50 e^{1/2 t} +820

\frac{820}{50} = e^{1/2 t}

Using natural log on both sides we got:

ln(\frac{82}{5}) = \frac{1}{2}t

And solving for t we got:

t = 2 *ln(\frac{82}{5}) =5.595

Part b

For this case we know that p(0) = p0 so we have this:

p_0 = 820 + P_o e^0

P_o = p_0 -820

So then our model would be given by:

P(t) = (p_o -820)e^{1/2t} +820

And if we want to find at which time the population would be extinct we have:

0=(p_o -820)e^{1/2 t} +820

-\frac{820}{p_0 -820} = e^{1/2 t}

Using natural log on both sides we got:

ln(-\frac{820}{p_0 -820}) = \frac{1}{2}t

And solving for t we got:

t = 2 *ln(-\frac{820}{p_0 -820})

Part c

For this case we want to find the initial population if we know that the population become extinct in 1 year = 12 months. Using the equation founded on part b we got:

12 = 2 *ln(\frac{820}{820-p_0})

6 = ln (\frac{820}{820-p_0})

Using exponentials we got:

e^6 = \frac{820}{820-p_0}

(820-p_0) e^6 = 820

820-p_0 = \frac{820}{e^6}

p_0 = 820-\frac{820}{e^6}

8 0
3 years ago
A cable is 20 meters long. How long is the cable in decimeters?
Sunny_sXe [5.5K]
200 decimeters
explanation: there is 10 decimeters in a meter
so 10×20=200

PLEASE MARK BRAINLIEST
3 0
2 years ago
Read 2 more answers
*Can someone please help me out with this one?*
Talja [164]
Either A - the value of r would increase or B- the value of r would not change.
5 0
2 years ago
Read 2 more answers
A farmer produces both corn and wheat. if the price of corn increases, the farmer will supply _____ wheat.
zubka84 [21]
B. less: because he wants to make money, if he produces less wheat ha can supply more corn which costs more.
4 0
3 years ago
Read 2 more answers
Other questions:
  • Simplify before multiplying 3/5×10
    9·1 answer
  • You have 7 of a pizza left
    8·2 answers
  • 1. A hotel manager buys 30 pillow cases and 25 shower curtains for $375. The manager then buys another 28 pillow cases and 35 sh
    9·1 answer
  • Find the odds of selecting the later “I” from the word brilliant ?
    11·1 answer
  • Find the exact value of sec30°.
    5·2 answers
  • Students at sunnyvale Middle School volunteered to work a 2-hour Shift at a car wash fundraiser. The table shows the number of p
    12·2 answers
  • Arrange the hyperbolas in increasing order of the horizontal widths of their asymptote rectangles.
    9·1 answer
  • Convert 1 2/5 liters in milliliters
    6·1 answer
  • What are the coordinates of the point hat is 2/3 of the way from A to B?
    10·1 answer
  • What is the slope-intercept form of the equation of the line containing the points (−2, 4) and (6, 0)?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!