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
den301095 [7]
3 years ago
8

You and a friend both leave the same restaurant to drive home. You are heading directly west at 30 miles per hour and he or she

is heading directly south at 40 miles per hour. After half an hour, how fast (in mph) is the distance between you changing? Do not include units in your answer.
Mathematics
1 answer:
neonofarm [45]3 years ago
4 0

Answer:

  50

Step-by-step explanation:

The distance between the friends is changing at the constant rate of 50 mph.

___

The equation for the distance in the westerly direction is ...

  w = 30t . . . . . miles, where t is time in hours

The equation for the distance in the southerly direction is ...

  s = 40t . . . . . miles, where t is time in hours

Then the total distance between the friends is ...

  d = √((30t)² + (40t)²) = √(2500t²) = 50t  . . . . miles, where t is time in hours

And the rate of change of distance is the derivative of this with respect to t:

  dd/dt = 50 . . . . . . miles per hour

You might be interested in
Anna said that the product of 7/8x 1/2=7/2
artcher [175]
Ana is false. The answer is 7/16 because 7*1=7 and 8*2=16
7 0
4 years ago
Read 2 more answers
Find the area of the following figure below
icang [17]
140
explanation: ......
6 0
3 years ago
The weight of an object on the moon is of its weight on Earth. Write 1/6 as a decimal.​
xxTIMURxx [149]

Answer:

1/6 as an decimal would be, 0.1666 Continued

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
If X²⁰¹³ + 1/X²⁰¹³ = 2, then find the value of X²⁰²² + 1/X²⁰²² = ?​
enyata [817]

Step-by-step explanation:

\bf➤ \underline{Given-} \\

\sf{x^{2013} + \frac{1}{x^{2013}} = 2}\\

\bf➤ \underline{To\: find-} \\

\sf {the\: value \: of \: x^{2022} + \frac{1}{x^{2022}}= ?}\\

\bf ➤\underline{Solution-} \\

<u>Let us assume that:</u>

\rm: \longmapsto u =  {x}^{2013}

<u>Therefore, the equation becomes:</u>

\rm: \longmapsto u +  \dfrac{1}{u}  = 2

\rm: \longmapsto \dfrac{  {u}^{2} + 1}{u}  = 2

\rm: \longmapsto{u}^{2} + 1 = 2u

\rm: \longmapsto{u}^{2} - 2u + 1 =0

\rm: \longmapsto  {(u - 1)}^{2} =0

\rm: \longmapsto u = 1

<u>Now substitute the value of u. We get:</u>

\rm: \longmapsto {x}^{2013}  = 1

\rm: \longmapsto x = 1

<u>Therefore:</u>

\rm: \longmapsto {x}^{2022}  +  \dfrac{1}{ {x}^{2022} }  = 1 + 1

\rm: \longmapsto {x}^{2022}  +  \dfrac{1}{ {x}^{2022} }  = 2

★ <u>Which is our required answer.</u>

\textsf{\large{\underline{More To Know}:}}

(a + b)² = a² + 2ab + b²

(a - b)² = a² - 2ab + b²

a² - b² = (a + b)(a - b)

(a + b)³ = a³ + 3ab(a + b) + b³

(a - b)³ = a³ - 3ab(a - b) - b³

a³ + b³ = (a + b)(a² - ab + b²)

a³ - b³ = (a - b)(a² + ab + b²)

(x + a)(x + b) = x² + (a + b)x + ab

(x + a)(x - b) = x² + (a - b)x - ab

(x - a)(x + b) = x² - (a - b)x - ab

(x - a)(x - b) = x² - (a + b)x + ab

6 0
3 years ago
What does x/2 + 6 = 7
MaRussiya [10]

Answer:

2

Step-by-step explanation:

2/2+6=7

8 0
3 years ago
Read 2 more answers
Other questions:
  • Find point A ( x, y ) if point B is ( 6 , 10 ) and the midpoint between A and B is ( -4,5)
    15·1 answer
  • The formula for the area of a triangle is A = 1 2 bh, in which b represents the length of the base and h represents the height.
    7·1 answer
  • D. 4.0<br> Geometry math question no Guessing and Please show work
    12·1 answer
  • How many feet are in 100meters
    15·1 answer
  • Which set of side lengths can be used to form a right
    9·2 answers
  • PLEASE HELP!!<br><br> IF REAL ANSWER IS PUT, I WILL MARK YOU BRAINLIEST!
    12·2 answers
  • Using the equation √4x+15=3√x<br> How many potential solutions are there?
    5·1 answer
  • 19 points
    8·1 answer
  • Help me!<br><br> A<br><br><br> B<br><br><br> C<br><br> D<br><br><br> E<br><br><br> F
    6·1 answer
  • Please help<br> What is the domain and range of the function
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!