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jek_recluse [69]
3 years ago
8

A puppy and a kitten are 180 meters apart when they see each other. The puppy can run at a speed of 25 m/sec, while the kitten c

an run at a speed of 20 m/sec.
How soon will the puppy catch the kitten if the puppy starts running after the kitten?
Mathematics
2 answers:
Lelechka [254]3 years ago
7 0
Make two equations representing the position of each animal, p and k, for the puppy and kitten respectively.

p=25t and k=180+20t  

The puppy will catch the kitten when p=k so we can say:

25t=180+20t  subtract 20t from both sides

5t=180  divide both sides by 5

t=36

So the puppy will catch the kitten after 36 seconds.
Wittaler [7]3 years ago
3 0

Answer:

The puppy will catch the kitten in 36 seconds!!

Step-by-step explanation:

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if a > 0, b>0, show that f(x)= a(1-e^-bx) is everywhere increasing and everywhere concave down.
faltersainse [42]
If a > 0, b>0, show that f(x)= a(1-e^-bx)
4 0
3 years ago
A square pyramid has a base length of 4 inches. The height of each triangular face is 12 inches. What is the surface area of the
Wittaler [7]

Answer:

The surface area of the given pyramid is 112 inches^{2}.

Step-by-step explanation:

Base length of the pyramid = 4 inches

Area of the base = length^{2}

                            = 4^{2}

                            = 16

Area of its base = 16 inches^{2}

Area of one of its triangular surface = \frac{1}{2} x base x height

                                 = \frac{1}{2} x 4 x 12

                                 = 2 x 12

                                 = 24 inches^{2}

Area of all its four triangular surfaces = 4 x 24

                                                       = 96 inches^{2}

surface area of the pyramid = sum of areas of all its surfaces

                                               = 16 + 96

                                       = 112 inches^{2}

The surface area of the given pyramid is 112 inches^{2}.

8 0
3 years ago
Find the percent of a number.<br><br>6% of 38 = ?<br>115% of 212 = ?<br>32% of 24 = ?
MA_775_DIABLO [31]
6% of 38= 2.28
115% of 212=243.8
32% of 24= 7.68
5 0
3 years ago
The baseball diamond is really a square. The distance between each of the bases is 90 feet. How far does the catcher have to thr
Zina [86]
A^2 + b^2 = c^2

base lines: home to first is a, first to second is b, home to second is c.

90^2 + 90^2 = c^2
or
\sqrt{ {90}^{2}  +  {90}^{2} }  = c
c = 127.28
...approximately
5 0
3 years ago
Read 2 more answers
Martha wrote an example of a quadratic function for a homework assignment. The function she wrote is shown. f(x) = 5x3 + 2x2 + 7
Wittaler [7]

Answer:

The first term, 5x^3, can be eliminated.

The exponent on the first term, 5x^3, can be changed to a 2 and then combined with the second term, 2x^2

Step-by-step explanation:

The highest degree allowed in a quadratic function is 2, so the third degree term (the first term) needs to be eliminated or changed. The change shown above is one of many possibilities.

3 0
3 years ago
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