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Hatshy [7]
3 years ago
5

in an over-fished area, the catch of a certain type of fish is decreasing at an average rate of 8% per year. If this decline per

sists, how long will it take for the catch to reach half of the amount before the decline???
Mathematics
1 answer:
Galina-37 [17]3 years ago
4 0
<span>n = n0(1 - 0.08)^t 
= n0(0.92)^t 

Putting n = n0 / 2: 
1 / 2 = 0.92^t 
t = log(1 / 2) / log(0.92) 
= 8.31 yr.</span><span>
</span>
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a 136 foot tall cell phone tower casts a 79.9 foot shadow. find the shadow length for a nearby 40 foot telephone pole
AleksAgata [21]

Given :

A 136 foot tall cell phone tower casts a 79.9 foot shadow.

To Find :

The shadow length for a nearby 40 foot telephone pole .

Solution :

We know , the ratio of height and shadow , will be same for every object .

Let , length of shadow of pole is x .

So ,

\dfrac{79.9}{136}=\dfrac{x}{40}\\\\x=\dfrac{79.9\times 40}{136}\ foot\\\\x=23.5\ foot

Therefore , the length of shadow of tower is 23.5 foot .

Hence , this is the required solution .

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Answer: 4.71

Step-by-step explanation:

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Find the measure of A.<br> A. 50<br> B. 70<br> C. 100<br> D. 90
dlinn [17]

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D

Step-by-step explanation:

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Two line segments which have one end at a diameter and the other end meeting at a common point, make a 90 degree angle.

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If f(x)=2x^2sqrt(x-2), complete the following statement f(6)
Sergio [31]
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8 0
3 years ago
A large rock (mass = 4.0 kg) moving at a velocity of 2.0 m/s has a momentum of _______ kg*m/s
Elodia [21]

Step-by-step explanation:

❁ \underline{ \underline{ \text{Given} }}:

  • Mass of a large rock ( m ) = 4.0 kg
  • Velocity ( v ) = 2.0 m/s

❁ \underline{ \underline{ \text{ \: To \: find}}}:

  • Momentum ( p )

✑ \underline{ \underline{ \text{Solution}}} :

\boxed{ \underline{ \sf{Momentum \:  =  \: mass \:  \times  \: velocity}}}

plug the known values :

⟹ \sf{Momentum = 4.0 \: kg \:  \times  \: 2.0 \:m/s }

⟹ \sf{Momentum = 8 \: kg \: m/s}

\red{ \boxed{ \boxed{ \tt{⟿ \: Our \: final \: answer :   \bold{ \underline{8} }\: kg*m/s}}}}

⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆

✑ \underline{ \underline{ \text{Learn \: more about \: momentum}}}:

Imagine that a car and a truck both have the same speed on the road. Which one can stop easily ? Of course , it is hard to stop the truck relative to the car. The reason is that the car and the truck have the same speed bit different masses. Thus , we can say that to stop a heavier body is harder than to stop a lighter one even both of them have the same speed.

If two tennis balls are hit towards you in different velocities , it is not equally easier to stop them. The ball in more velocity is difficult to stop relatively. Thus , we can say that to stop a body in more velocity is harder than to stop a body with less velocity , eventhough they have the same speed.

The physical quantity that describes the quantity of motion of a body is called momentum. The momentum of a moving body or linear momentum is defined as the product of mass & velocity of a moving body.

Mathematically ,

Momentum = mass × velocity

i.e p = m × v

The SI unit of momentum is kg • m/s. Since velocity is a vector quantity and multiplied with mass ( scalar quantity) , momentum becomes a vector quantity. Direction of momentum is the same as velocity.

Hope I helped ! ♡

Have a wonderful day / night ツ

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7 0
3 years ago
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