Answer:
a)
b)
c)
d)
Step-by-step explanation:
We solve this using backward or forward substitution.
a) We have this:
then:
for we have:
from this, we can see that is a solution for this recurrence relation, where . This is:
b) We have with . Then:
but at the same time
we have:
or
by the next:
We can see that the recurrence rule is:
this is
c)Note that:
taking all this we have to:
then:
this is:
d)We take . Then:
replacing we have:
Answer:
16
Step-by-step explanation:
por que si por 25 son 4 en 75 son 12
Answer:
0.23 per ounce
Step-by-step explanation:
2.89 / 12.4 = 0.23 per ounce
Given:
The bag of apples is $6.33 for 3 pounds.
Required:
We need to find the unit rate of the cost of the apples.
Explanation:
Divide the cost of the bag of apples by the number of pounds.
Final answer:
The apples are $2.11 per pound
Answer:length of wire = 116 ft
Explanation:The attached image shows a diagram on the scenario given.
Now, we can note that the string forms a right-angled triangle with the tower and the ground. This means that special trig functions can be applied.
These functions are as follows:
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
Now, from the given, we can find that:
θ = 34°
opposite is the tower = 65 ft
hypotenuse is the string length that we want to find
Substitute with the givens in the sin function to get the length of string as follows:
sin (34) = 65 / string
string = 65 / sin(34)
string = 116.2 which is approximately 116 ft
Hope this helps :)