12.41 less than the product of 42 and x
= 42x - 12.41
Answer:
7-2x=y
Step-by-step explanation:
When a point passes through a line it satisfies its equation
(X-x0 )m= y-y0
Slope = m = -2
(X-2 )(-2)=y-3
4-2x=y-3
7-2x=y
Answer:
111 minutes
Step-by-step explanation:
step 1
Find out how long are the six commercial
Multiply the number of commercials by 90 seconds
so

Convert to minutes
Remember that


step 2
Subtract the duration of six commercials from the duration of the program
Remember that

so

therefore

Answer:
Part 1) The trapezoid has an area of 
Part 2) The kite has an area of
Part 3) The area of the trapezoid is less than the area of the kite
Step-by-step explanation:
Part 1
Find the area of trapezoid
we know that
The area of trapezoid is equal to the area of two congruent triangles plus the area of a rectangle
so
![A=2[\frac{1}{2} (2)(5)]+(2)(5)](https://tex.z-dn.net/?f=A%3D2%5B%5Cfrac%7B1%7D%7B2%7D%20%282%29%285%29%5D%2B%282%29%285%29)
Part 2
Find the area of the kite
we know that
The area of the kite is equal to the area of two congruent triangles
so
![A=2[\frac{1}{2} (7)(3)]=21\ m^2](https://tex.z-dn.net/?f=A%3D2%5B%5Cfrac%7B1%7D%7B2%7D%20%287%29%283%29%5D%3D21%5C%20m%5E2)
Part 3
Compare the areas
The trapezoid has an area of 
The kite has an area of
so

therefore
The area of the trapezoid is less than the area of the kite
Answer:
Using a calculator, we can check that e=2.718281828.
Step-by-step explanation:
Lets evaluate each one of our expression the check which one is closest to e:
(1+ \frac{1}{31} )^{31}=2.675686306
(1+ \frac{1}{32})^{32}=2.676990129
(1+ \frac{1}{34} )^{34}=2.679355428
(1+ \frac{1}{33} )^{33}=2.678207651
We can conclude that the value of (1 +1/34) to the power of 34 is the closest to the value of e.