Answer:
A. 45h = 1,575
Step-by-step explanation:
Area of trapezoid = 1,575 cm² (given)
We are given the length of both bases, a = 63 cm and b = 27 cm
We need to find the formula that will enable us determine its height (h).
Thus:
Area of trapezoid = ½(a + b)h
Plug in the values
½(63 + 27)h = 1,575
½(90)h = 1,575
45h = 1,575
The answer is A. 45h = 1,575
Answer:
Jennifer
4/15 mph
Step-by-step explanation:
First, we find the two speeds in miles per hour.
Victoria:
1 1/5 mile per 1/2 hour = (1 1/5 mile)/(1/2 hour) = 2 2/5 mph = 2.4 mph
Jennifer:
2/3 mile per 1/4 hour = (2/3 mile)/(1/4 hour) = 8/3 mph = 2 2/3 mph
2 2/3 mph > 2 2/5 mph, so Jennifer's speed is greater.
The difference in speeds in mph is:
2 2/3 - 2 2/5 = 2 10/15 - 2 6/15 = 4/15
Answer:
m = - 2 is the value of m that the function y= e^mx is a solution of the differential equation, y' + 2y = 0.
Step-by-step explanation:
To determine all values of m so that the function y= e^mx is a solution of the given differential equation.
First, we will find y'.
From, y= e^mx
But, 
Hence,
∴ 
Now, we will put the values of y' and y into the given differential equation y' + 2y =0
From the question,
and
Then, 
becomes
Then, 
∴ 
Hence, m = - 2 is the value of m that the function y= e^mx is a solution of the differential equation, y' + 2y = 0.
Answer: 100
Step-by-step explanation: because I just got a 10/10
Answer:
Step-by-step explanation:
1. 
and solve for x
-65 -65
/10 /10
The waiter has to work at least 8.5 hours.
2. 
and solve for x
-25 -25
/5 /5
Mateo can buy at most 11 phone cases.
