The result of our calculations about the rate and time are:
<h3>What is rate?</h3>
Rate can be regarded as the given object with respect to time.
falcon flies= 800,000 meters
t= 4 hours
We were given the formula as (d = rt)
d= distance
r = rate
t = time
We can make our calculations as:
part a:
r=d/t
part b:
falcon's rate in meters per hour = 800,000 meters / 4 hours = 200000m/hr
part c:
falcon's rate in kilometers per hour=(200000m/hr *(1/1000)=200km/hr
part d:
km/hr
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Answer:
Step-by-step explanation:
step 1
we know that
Nicole can mow a large lawn in about 4 hours
That means----> In 4 hours Nicole mow the 100% of the lawn
so
using proportion
Find out what percentage Nicole mow in 2.5 hours
step 2
we know that
When Nicole and Jessica work together, they can mow the same lawn in about 2.5 hours
Remember that in 2.5 hours Nicole mow 62.5%
That means -----> Jessica in 2.5 hours mow 100%-62.5%=37.5%
using proportion
Find out how many hours would it take Jessica to mow the lawn (100%) by herself
Answer:
slope = 2/5 , y-intercept = -30
Step-by-step explanation:
-2x + 5y = -30
5y = 2x - 30
y = 2/5x - 6
we know that the general form is:
y = (slope)*x + (y- intercept)
so, from our equation, we can say that...
slope = 2/5
y- intercept = -30
The number of terms in the geometric series is 9
<h3>How to determine the number of terms in the series?</h3>
The geometric series given as:
96 - 48 + 24 -....,-3/8 .
Calculate the common ratio (r) as follows
r = T2/T1
Substitute the known values in the above equation
r = -48/96
Evaluate
r = -0.5
The number of terms is then calculated as:
Tn = a * r^n-1
Let n = 9
So, we have:
T9 = a * r^9
Substitute the known values in the above equation
T9 = 96 * (-0.5)^8
Evaluate the product
T9 = -3/8
Hence, the number of terms in the geometric series is 9
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