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viva [34]
3 years ago
5

38% of the animals are dogs. 40% of the animals are spotted. 12% of the animals are spotted dogs. What percent of the animals in

the store are spotted or dogs? O A. 54% O B. 66% O C. 78% O D. 80%
Mathematics
2 answers:
lisov135 [29]3 years ago
8 0

Answer:

C.78%

Step-by-step explanation:

nalin [4]3 years ago
7 0

Answer: B

Step-by-step explanation:

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Sholpan [36]
1) We have that the equation is x^2=20y , hence y=x^2/20. The standard equation of such an equation is y=\frac{1}{4p} x^2. Hence, p=5 in this case. The focus is at (0,5) and the directrix is at y=-5 (a tip is that the directrix is always "opposite" the focus point of a parabola; if the directrix is at x=-7 for example, the focus is at (7,0)).
2) Similarly, we have that the equation is x=3y^2 \\  \frac{1}{4p} =3. Thus, p=1/12. In this case, the parabola opens along the x-axis and the focus is at (1/12, 0). Also, the directrix is at x=-1/12. Hence the correct answer is B.
3) We are given that the parabola has a p of 9. Also, the focus lies along the y-axis, hence the parabola is opening along the y-axis. Finally, the focus is on the positive half, so the parabola is opening upwards. The equation for this case is y=y=\frac{1}{4p} x^2= \frac{1}{36 } x^2.
4) Similarly as above. The directrix is superfluous, we only need the p-value. THe same comments about the parabola apply and if we substitute p=8 in the formula: y= \frac{1}{4p} x^2 we get y=\frac{1}{32} x^2.
5) This is somewhat different, even though we do not need the directrix again. The focus lies on the x-axis, thus the parabola opens in this direction. The focus lies on the positive part of the axis, thus the parabola opens to the right. We also are given p=7. Hence, the equation we need is of the formx= \frac{1}{4p} y^2. Substituting p=7, we get x= \frac{1}{28} y^2.
6) The equation of a prabola with a vertex at (0,0) is of the form y=-ax^2. The minus sign is needed since the parabola is downwards. Since we are given anothe point, we can calculate a. We have to take y=-74 and x=14 feet (since left to right is 28, we need to take half). -a= \frac{y}{x^2} = \frac{-74}{14^2} =-0.378. Thus a=0.378. Hence the correct expressions is y=-0.378*x^2
7 0
3 years ago
Read 2 more answers
The distance a spring will stretch varies directly with how much weight is attached to the spring. if a spring stretches 9 inche
Tcecarenko [31]
9/100 = x/90
Cross multiply to get 810 = 100x
Divide both sides by 100 to get x = 81 inches
6 0
3 years ago
How did Spain and Portugal maintain control of their Latin American domains?
ioda
<span>through a rigid class structure: viceroys/colonial officers, Creoles, mestizos</span>
6 0
3 years ago
Victor is making lemonade. His first recipe calls for 2 cups of water and the juice from 12 lemons. His second recipe says he wi
Sphinxa [80]

Answer:

B. recipe 1

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A construction crew is paving a road. The crew has already paved 1,000 square feet and can pave at a rate of 300 square feet of
denis23 [38]

Answer:

1,900 square feet; f(3) represents the total number of square feet the construction crew has paved after 3 hours.

The function of the construction crew is an illustration of a linear function

The value of f(3) is 1900, and f(3) represents the total number of square feet paved after working for 3 hours

The function is given as:

To calculate f(3), we substitute 3 for x

Multiply 300 and 3

Add 900 and 1000

This means that the value of f(3) is 1900.

And it represents the total number of square feet paved after working for 3 hours

1,900 square feet; f(3) represents the total number of square feet the construction crew has paved after 3 hours.

6 0
2 years ago
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