Answer:
True options: 1, 2 and 5
Step-by-step explanation:
From the given diagram, you can see that the center of the hyperbola is placed at the origin, so first option is true (see attached diagram for definition of center, vertices, foci, i.e.)
There are two vertices of the hyperbola, they are placed at (-6,0) and (6,0), so second option is true.
The transverse axis is the segment connecting vertices, this segment is horizontal, so option 3 is false.
The foci are not placed within the rectangular reference box, so this option is false.
The directrices are vertical lines with equations 
, so this option is true.
Simplifying the given expressions we proceed as follows:
(5sqrt3)^x
=5^x*(3^1/2)^x
=5^x*3^x/2
=5^x3^u
where u=x/2
(1/2)^(x-3)
=1/2^(x-3)
=2^-(3-x)
=2^u
where u=-(3-x)
9/3sqrt(3)
=3/(3)^(1/2)
=3(3)^(-1/2)
16/(3sqrt (2^x))
=1/3*(2^4*2^(-x/2))
=1/3*2^(4-x/2)
=1/3*2^u
where:
u=4-x/2
Answer:
1,000
Step-by-step explanation:
The more rolls you make, the closer the experimental and theoretical probabilities get closer together
Answer:
63
Step-by-step explanation:
She finds her average resting heart rate to be 62 after 5 days.
That means, average of the 5 heart rate pulse=62
If the last day was 58 and all the other days were the same.
Let x be her pulse on the other days,
Then,
Her pulse on all the other days is 63.
Answer:
<u>The distance of the library in the map is 0.67 inches (Rounding to two decimal places)</u>
Step-by-step explanation:
1. Let's review all the information given for solving this question:
Scale factor for the map of the town = 0.5 inches: 3 miles
Distance from Niko's house to his school = 3 miles
Distance from Niko's school to the library = 4 miles
2. Let's find the distance of the library in the map
Distance of the library in the map = Distance of the library * Scale factor
Distance of the library in the map = 4 miles * 0.5 inches:3 miles
Distance of the library in the map = (2 miles * inches)/3 miles
Distance of the library in the map = 2 inches/3 (Miles are cancelled in the numerator and in the denominator)
<u>Distance of the library in the map = 0.67 inches (Rounding to two decimal places)</u>
