Answer:
33
Step-by-step explanation:
1. (x-10)+67=90 because it's a 90 degree angle
2.subtract 67: x-10=23
3. add 10: x=33
It holds 1,353 gallons of water
Answer:
prime factorization of 6: 2x3
Step-by-step explanation:
to find the prime factorization of any number Step 1: Start by dividing the number by the first prime number 2 and continue dividing by 2 until you get a decimal or remainder. Then divide by 3, 5, 7, etc. until the only numbers left are prime numbers. Step 2: Write the number as a product of prime numbers.
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:
The answer is 245
Step-by-step explanation:
For arithmetic series with n=7: S7=(a1+a7)*7/2
Thus, S7=(26+44)*7/2=245
The answer is 245