Answer:
The machine can make 24 bottles of soda per minute
Step-by-step explanation:
Looking at the graph of the relationship, we can see that the number of bottles per minute simply represent the slope of the line
Thus, by calculating the slope using the given points, we can have the number of bottles per minute
We have the formula as;
m = (y2-y1)/(x2-x1)
(x1,y1) = (4,96)
(x2,y2) = (6,144)
m = (144-96)/(6-4) = 48/2 = 24
Answer:
The answer is "12 inches".
Step-by-step explanation:
Please find the image file of the graph.
We know 
so because the triangle is isosceles.
when 
is called by 
.
We know that 
since E and D are tangent points to a circle.
They have 
since D and F are tangent points only to circle.
Thus, if the perimeter is 32, the following is the result:
Therefore the length of 
Answer:
1023.75
Step-by-step explanation:
The sum of a geometric sequence is
sum = a( 1 - r^n) / (1-r)
where a is the first term r is the common ratio and r^n is the nth term
We need to find the common ratio
r = 256/512 = 1/2
sum = 512 ( 1 - 1/2^12) / ( 1-1/2)
=512( 1-.000244141) / (.5)
=512(.999755859) /.5
=1023.75
The base area of this second rectangular prism is 51 cm²
The rectangular prism completely filled with sand has a base area of 85cm² and height of 15cm .
<h3>
</h3><h3>
volume of a rectangular prism</h3>
where
B = base area
h = height
Since the first rectangular prism was completely filled with sand and it completely filled the second rectangular prism, it means they both have the same volume.
Therefore,
volume of the first rectangular prism = volume of the second rectangular prism.
Therefore, the base area of the second rectangular prism can be calculated as follows:
volume = Bh
1275 = 25B
B = 1275 / 25
B = 51 cm²
learn more on prism here: brainly.com/question/2517494?referrer=searchResults
