Answer:
62.5 mph
Step-by-step explanation:
Given that :
Peter :
Speed = 50mph
Start Time = 9 a. M
Emily :
Start time = 9:30
Speed = x
In other to catch up at 11:30 :
Peter (11:30 - 9:00) = 2hours 30 minutes = 2.5 hrs
Total distance moved by Peter :
Speed * time = 50 * 2.5 = 125miles
For Emily to cover 125 miles in (11:30 - 9:30) = 2 hours
Speed = distance / time
Speed = 125 miles / 2 hours
Speed = 62.5 miles per hour
<h3><u>
Answer:</u></h3>
Hence, the sum of a 7-term geometric series is:
-32766.
<h3><u>
Step-by-step explanation:</u></h3>
We have to find the sum of a 7-term geometric series (i.e. n=7) if the first term(a) is -6, the last term is -24,576, and the common ratio(r) is 4.
We know that the sum of the 7-term geometric series is given as:
On putting the value of a,n and r in the given formula we have:
Hence, the sum of a 7-term geometric series is:
-32766.
Answer: -2
Step-by-step explanation: The y-intercept of a line is the point where the graph crosses or intersects the y-axis.
In this case, the line crosses the y-axis 2 units down from the
origin and we can write the coordinates of the point as (0, -2).
So the answer is -2.
To solve this, set up two equations using the information you're given. Let's call our two numbers a and b:
1) D<span>ifference of two numbers is 90
a - b (difference of two numbers) = 90
2) The quotient of these two numbers is 10
a/b (quotient of the two numbers) = 10
Now you can solve for the two numbers.
1) Solve the second equation for one of the variables. Let's solve for a:
a/b = 10
a = 10b
2) Plug a =10b into the first equation and solve for the value of b:
a - b = 90
10b - b = 90
9b = 90
b = 10
3) Using b = 10, plug it back into one of the equations to find the value of a. I'll plug it back into the first equation:
a - b = 90
a - 10 = 90
a = 100
-------
Answer: The numbers are 100 and 10</span>
Answer:
Step-by-step explanation:
Given
<em>See attachment</em>
Required
Which sine of angle is equivalent to 
Considering 
We have:
--- i.e. opposite/hypotenuse
So, we have:
Divide by 4
Hence:
is correct
