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astra-53 [7]
3 years ago
15

A fox sees a rabbit 35 feet away and starts chasing it. As soon as the fox starts moving the rabbit sees it and starts running a

way at a speed of 40 feet per second. What should the fox's speed be to catch up to the rabbit?
Mathematics
1 answer:
Artemon [7]3 years ago
4 0

The speed of the fox should be greater than the rabbit's speed in other to catch up, Hence, the speed of the fox must be 35/t + 40

The distance between the rabbit and fox, d = 35 feets

The rabbit's speed = 40 feets per second

Fox's speed = F

In other to obtain a specific speed for the fox, the time at which the fox is required to catch up with the rabbit should be given.

Let the time = t

Recall :

Speed = distance / time

Distance = speed × time

Rabbit's distance from fox after time t will be :

35 + (40 × t) = 35+40t

Fox's distance after time, t = fox speed × t = F × t

In other to catch up ; both fox and rabbit must be at the same distance ;

Rabbit's distance at time t = Fox's distance at time t

35+40t = Ft

To solve for F which is the fox's speed:

Divide both sides by t

(35+40t) / t = Ft/t

35/t + 40 = F

Hence, the fox' s speed must be : 35/t + 40

To obtain the exact speed of the fox, we must be given a specific time value.

Learn more : brainly.com/question/18112348

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What is the smallest prime number p such that
Ne4ueva [31]

The smallest prime number of p for which p^3 + 4p^2 + 4p has exactly 30 positive divisors is 43.

<h3>What is the smallest prime number of p for which p must have exactly 30 positive divisors?</h3>

The smallest number of p in the polynomial equation p^3 + 4p^2 + 4p for which p must have exactly 30 divisors can be determined by factoring the polynomial expression, then equating it to the value of 30.

i.e.

  • p^3 + 4p^2 + 4p

By factorization, we have:

  • = p(p+2)²

Now, to get exactly 30 divisor.

  • (p+2)² requires to give us 15 factors.

Therefore, we can have an equation p + 2 = p₁ × p₂²

where:

  • p₁ and  p₂ relate to different values of odd prime numbers.

So, for the least values of p + 2, Let us assume that:

  • p₁ = 5 and p₂ = 3

p + 2 = 5 × 3²

p + 2 = 5 × 9

p + 2 = 45

p = 45 - 2

p = 43

Therefore, we can conclude that the smallest prime number p such that

p^3 + 4p^2 + 4p has exactly 30 positive divisors is 43.

Learn more about prime numbers here:

brainly.com/question/145452

#SPJ1

8 0
2 years ago
-2w + 20= -17 -17 +4w
mixas84 [53]

-2w + 20 = -17 - 17 + 4w

Combine like terms on the right side of the equation.

-2w + 20 = -34 + 4w

Add 2w to both sides.

20 = -34 + 6w

Add 34 to both sides.

54 = 6w

Divide both sides by 6.

w = 9 is your answer.

4 0
3 years ago
Which object has the mass of about one kilogram?
Step2247 [10]

Answer:

A book about a mass of 1 kilogram, but that isn't the only answer.

Explanation:

There's many objects with a mass of one kilogram like one liter of water, a pineapple, bag of sugar etc.

7 0
3 years ago
Mary earns $6 per hour as a waitress. Last week she took home her regular earnings of $6 per hour plus $185 in tips for a total
Daniel [21]
Mary worked 22 hours.


To solve first you would subtract the amount she made in tips from her total earnings (317-185)
= 132
Then you divide that answer by her hourly salary of $6 (132/6)
=22
7 0
3 years ago
Hq+k=y, for q helppp
serious [3.7K]

Answer:

0.+.20.=.40Step-by-step explanation:

6 0
3 years ago
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