A "regular quadrilateral" is a square, so the length and width are both 4 cm. The surface area of a rectangular prism is given by
S = 2(LW +H(L +W))
S = 2((4 cm)*(4 cm) +(6 cm)*(4 cm +4 cm))
S = 2(16 cm² +48 cm²)
S = 2*64 cm² = 128 cm²
The surface area of the prism is 128 cm².
<h2>Hello!</h2>
The answer is:
The first measurement of volume is equal to 835.23 mL.
<h2>Why?</h2>
Boyle's Law equation can be used when the temperature is kept constant, and it establishes a relation between the pressure and volume, showing that when an ideal gas is kept constant, the pressure and volume are inversely proportional.
So, we Boyle's Law equation states that:

Where,

Now, if we are looking for the first volume measurement, we need to rewrite the equation as follow:

So, substituting the given information and calculating, we have:


Hence, the first measurement of volume is equal 835.23 mL.
Have a nice day!
Answer:
3x - y + 
Step-by-step explanation:
Hooboy okay here we go.
1.) Rewrite the equation in the classic division method
3x³ + 2x²y - xy² 
2.) Divide using normal division rules, but it's super hard now 'cause there are letters involved. Basically, what can you multiply 3x³ by to get 9x⁴? 3x. So 3x is your first number. Then multiply everything else by 3x, and subtract
3x
3x³ + 2x²y - xy² 
-(9x⁴ + 6x³y - 3x²y²)
= 0 - 3x³y - 2x²y² - 5x²y + xy³
Now lets do that again, see what happens. 3x³ times -y should get -3x³y
3x - y
3x³ + 2x²y - xy² 
- (9x⁴ + 6x³y - 3x²y²)
= 0 - 3x³y - 2x²y² - 5x²y + xy³
- ( - 3x³y - 2x²y² + xy³)
= 0 + 0 - 5x²y + 0
So! From this information, we can know that the answer is 3x-y with a remainder of - 5x²y. How it's written is shown above, in "Answer"
Answer:
69 years
Step-by-step explanation:
Sum of Alex's and Ben's current age
= 14 +17
= 31 years
For every year, Alex and Ben will each be one year older. Thus, 2 years would be added to the sum of their ages with each passing year.
Difference in the sum of their ages
= 169 -31
= 138 years
Number of sets of 2 years
= 138 ÷2
= 69
Thus, the sum of their ages will be 169 in 69 years.