Answer:
x = 5.75
Step-by-step explanation:
4^(x+7) = 8^(2x-3)
But; 4^(x+7) = 2^2(x+7)
8^(2x-3) = 2^3(2x-3)
2^2(x+7) = 2^3(2x-3)
Since the bases are the same;
2(x+7) = 3(2x-3)
2x + 14 = 6x -9
14 + 9 = 6x - 2x
23 = 4x
x = 23/4
<u>x = 5.75</u>
Answer:
Since the plane if cutting through the prism to make 5 sides, than the original shape needs to have less than 5.
A prism, is a 3D shape, so you can't have a 2 sided shape.
Now you have a choice of 3+or 4 sides.
A 3 sides shape is a triangle, which also can't be cut into a 5 sided prism, so the answer would need to be 4.
Step-by-step explanation:
<h2>
The top of the ladder is descending at 0.3 m/s.</h2>
Step-by-step explanation:
By Pythagoras theorem we know that
Hypotenuse² = Base² + Perpendicular²
h² = b² + p²
We have for ladder
h = 5 m
b = 3 m
5² = 3² + p²
p = 4 m

Differentiating h² = b² + p² with respect to time

The top of the ladder is descending at 0.3 m/s.
Answer:
try youre best to complete youre succsess
Walking 10 blocks consumes 75 calories so... You add another 75 wich is calories and then divide 75/2. 75+75+37.5=187.5 calories!