Answer:
4.1145
Step-by-step explanation:
You can use the following formula to solve this kind of problems,

So, let's start of with log4_(300). Since the question have already gave log4_(3) =0.7925 and log4_(5) =1.1610. It means that you have to split the 300 into the simplest form where almost all of the numbers are 3 and 5.

Answer:
the second choice cause there's too many outliers the line can't be linear
4, 16
-1, 1
3, 9
12, 144
16, 256
The rule is y=x^2. If you square all the numbers on the x side, you will get the numbers on the y side. 4 times 4 = 16. -1 times -1 =1. 3 times 3 =9, and so on.
hello :<span>
<span>an equation of the circle Center at the
A(a,b) and ridus : r is :
(x-a)² +(y-b)² = r²
in this exercice : a = -7 and b = -1 (Center at: A(-7,-1) )
r = AP.... P(8,7)
r² = (AP)²
r² = (8+7)² +(7+1)² =225+64=289 ...... so : r = 17
an equation of the circle that satisfies the stated conditions.
Center at </span></span>A(-7,-1), passing through P(8, 7) is :
(x+7)² +(y+1)² = 289
The point (-15,y ) <span>lies on this circle : (-15+7)² +(y+1)² = 289....(subsct : x= -15)
(y+1)² = 225
(y+1)² = 15²
y+1 = 15 or y+1 = -15
y = 14 or y = -16
you have two points : (-15,14) , (-15, -16)</span>
Answer:
(a)18.85 Cubic Inches
(b)The box with dimensions of 4 in. x 3in. x 2 in.
Step-by-step explanation:
<u>Part A</u>
<u>Volume of the 12 Containers</u>
Height =2 Inches
Diameter=1 Inch
Radius=Diameter/2=1/2=0.5 Inch
Volume of a cylinder
Volume of the 12 Containers

<u>Part B</u>
To determine the container which should be used, we first determine the volume of the available boxes.
<u>Volume of the boxes</u>
Volume of box with dimension 3 in. x 2 in. x 5 in.=3X2X5=30 Cubic Inches
Volume of box with dimension 4 in. x 3in. x 2 in.=4X3X2=24 Cubic Inches
Volume of box with dimension 5 in. x 6 in. x 5 in.=5X6X5=150 Cubic Inches
Volume of box with dimension 3 in. x 2 in. x 3 in. =3X2X3=18 Cubic Inches
The box that should be used with the least amount of wasted space is he box with volume 24 Cubic inches. i.e. box with dimensions 4 in. x 3in. x 2 in.
This is because the volume of the box(18 cubic inches) with dimension 3 in. x 2 in. x 3 in. is less than what is required.