Answer:
Option C. The robin flies fastest because its rate is 15 m/s
Step-by-step explanation:
Let
x -----> the time in seconds
y ----> the distance in meters
The speed is equal to divide the distance by the time
In this problem, the slope or unit rate of the linear equation is the same that the speed
<em>Robin's Flight</em>
<em>Find the slope</em>
The formula to calculate the slope between two points is equal to
take two points from the table
(2,30) and (3,45)
substitute in the formula

<em>Cardinal's Flight</em>


<em>Blue Jay's Flight</em>
take two points from the graph
(0,0) and (2,20)
substitute in the formula

Compare
The robin flies fastest because its rate is 15 m/s
77/5=99/x
77x=5*99
77x=495
x=495/77
x=6.4
she needs to study 6.4 hrs to get 99
Step-by-step explanation:
log (√1000000x)
Rewrite √1000000x as (1000000x)1/2.
expand long ((1000000x)1/2) by moving 1/2
oby moving logarithm.
1/2 longth (1000000x)
Rewrite
log
(1000000x) as log(1000000)+log(x).
1/2(log(1000000)+log(x))
Logarithm base 10 of 1000000 is 6.
1/2(6+log(x))
Apply the distributive property.
1/2.6+1/2 log(x)
Cancel the common factor of 2.
3+1/2 long(x)
Combine 1/2 and log(x)
3+ long(x)/2
Answer:
x = 76.9
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp side / adj side
tan 70 = x/28
28 tan 70 = x
x=76.92936
Rounding to the nearest tenth
x = 76.9