Given that an animal shelter houses three kinds of animals: dogs, cats and rabbits and it has a total of 126 animals. 1/3 of the animals are cats. This means, 1/3 of 126 is 42. So there are 42 cats. 3/4 of the remaining animals, which is 84 are dogs. So 3/4 of 84 is 63. So there are 63 dogs. 63 dogs plus 42 cats is 105 animals. 126 minus 105 is 21. Therefore, there are only 21 rabbits. Hope this helps.

6 0

3 years ago

Evaluate the piecewise function at the given values of the independent variable

snow_lady [41]

A) For f(-1) we use the part of the piecewise function for when x < 0 because -1 < 0. Plug in -1 for x:

2(-1) + 3 = 1

b) For f(0), we use the part for when x $\geq$ 0.

4(0) + 5 = 5

c) For f(2) we use the part for when x $\geq$ 0.

4(2) + 5 = 13

3 0

2 years ago

Calculate the angle of depression from the

Verizon [17]

Answer: $52.6^{\circ}$

Step-by-step explanation:

Let the angle of depression be x.

$\sin x=\frac{27}{34}\\\\x=\sin^{-1} \left(\frac{27}{34} \right) \approx 52.6^{\circ}$

7 0

2 years ago