Answer:
<h3>The length is 35cm</h3><h3>The width is 5cm</h3><h3 />
Step-by-step explanation:
Area of a rectangle = l × w
where
l is the length
w is the width
The length is seven times the width is written as
l = 7w
Area of the rectangle = 175 cm²
7w × w = 175
7w² = 175
Divide both sides by 7
w² = 25
Find the square root of both sides
w = √25
w = 5cm
But l = 7w
l = 7(5)
l = 35cm
The length is 35cm
The width is 5cm
Hope this helps you.
Answer:
n= 1
Step-by-step explanation:
-3n + 15 =12
-15. -15
-3n= - 3
÷-3 ÷-3
n= 1
To find the inverse of this function, we first need to replace f(x) with y.
y = 2x^2 + 3
Now, we swap x and y
x = 2y^2 + 3
Now, we solve for y.
-3
x - 3 = 2y^2
Sqrt both sides.
√(x - 3) = 2y
Divide by 2
√(x - 3)/2 = y
Replace y with f^-1(x)
√(x - 3)/2 = f^-1(x)
Just realized you were asking for f(-1), not f^-1(x)
Feels bad.
f(-1) = 2(-1^2 + 3)
f(-1) = 2(-1^5)
f(-1) = 2(-1)
<u>f(-1) = -2</u>
I'm leaving the original answer in case you also need the inverse function. :)
The volume of the can is 56.52 in³.
To find the volume of the of a cylinder (the shape of a can) you would use:

r²h.

=3.14
r²=3² (radius squared)
h=2 (height)
3.14·3²·2
28.26·2
56.52