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Soloha48 [4]
2 years ago
12

An object travels between two locations 20 miles apart in 5 hours. What is the average speed of

Mathematics
1 answer:
Korolek [52]2 years ago
3 0

Answer:

4 mph

Step-by-step explanation:

Speed is found by taking the distance and dividing by the time

speed  =distance/ time

            = 20 miles / 5 hours

            = 4 miles/ hour

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Whitepunk [10]

Answer:

120 deg

Step-by-step explanation:

I put an image of 120 deg down below.

Try comparing those two

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2 years ago
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The derivative of f(x) = e^xinx​
aksik [14]

Answer:

e^xsinx · (sinx+xcosx)

Step-by-step explanation:

f'(x)=e^xsinx · (xsinx)'= e^xsinx · (sinx+xcosx)

4 0
3 years ago
A baseball is thrown with an upward velocity of 32 feet per second. The equation h=-16t^2+32t gives the height of the ball t sec
AnnZ [28]

Answer:

The function of height has a maximum value.

Step-by-step explanation:

Maximum or Minimum:

A given function f(x).

  1. Find out f'(x) and f''(x)
  2. Then set f'(x)=0 which gives x=a.
  3. f''(a) > 0 , then at x=a , f(x) has minimum value.
  4. If f''(a)<0 , then at x=a, f(x) has maximum value.

Given that, a baseball is thrown with with an velocity of 32 feet per second.

The equation of height is

h=-16t^2+32t

Differentiating with respect to t

h'=-32 t+32

Again differentiating with respect to t

h''=-32

Next, we set h'=0

-32 t+32=0

\Rightarrow 32t=32

\Rightarrow t=1

Now h''|_{t=1}=-32

Since at t=1, h''<0.

The function of height has a maximum value.

The maximum of h is = -16.(1)²+32

                                     = -16+32

                                     =16 feet

4 0
3 years ago
Help!! I got this wrong last time lol
kumpel [21]

Answer:

A.

Step-by-step explanation:

when you distribute it you keep the subtraction sign and have to multiply 6 by 50 and then 6 by 1

7 0
3 years ago
2 tangents are drawn from a point a which is 37 cm from the center of the circle. The diameter of the circle is 24 cm. What is t
kipiarov [429]

Answer: 35 cm

Step-by-step explanation:

Given : Diameter of a circle= 24 cm

Let r be the radius of the circle.

then r=\frac{d}{2}=12\ cm

Since a tangent is always at right angles to the radius where it touches the circle.

Join the point A to the center of the circle such that it will become a right triangle with 37 cm as the longest sides [since it is the side opposite to the right angle.]

Let x denote the length of the tangents.

By Pythagoras theorem, we have

r^2+x^2=(37)^2\\\Rightarrow\ (12)^2+x^2=1369\\\Rightarrow\ x^2=1369-144\\\Rightarrow\ x^2=1225\\\Rightarrow\ x=35

Hence, the length of each tangent from point a to the point of the tangency=35 cm

4 0
3 years ago
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