Answer:
Step-by-step explanation: The volume of the grain silo can be found by adding the volumes of all the solids of which it is composed (a cylinder and two cones). The silo is made up of a cylinder (with height 10 feet and base radius 5 feet) and two cones (each with height 5 ft and base radius 5 ft). The formulas given at the beginning of the SAT Math section:
Volume of a Cone:
Volume of a Cylinder:
can be used to determine the total volume of the silo. Since the two cones have identical dimensions, the total volume, in cubic feet, of the silo is given by
which is approximately equal to 1,047.2 cubic feet.
<u>The final answer is D.</u>
Answer:
–0.83
Step-by-step explanation:
An r-value, or correlation coefficient, tells us the strength of the correlation in a linear regression. This number ranges from -1 to 1; -1 is a perfect linear fit for a decreasing set of data, while 1 is a perfect linear fit for an increasing set of data.
The closer the r-value is to either -1 or 1, the stronger the correlation is.
The two negative numbers we have are -0.83 and -0.67. The first one, -0.83, is 0.17 away from -1. -0.67, on the other hand, is 0.33 away from -1. The two positive numbers we have are 0.48 and 0.79. The first one, 0.48, is 0.52 away from 1. The second one, 0.79, is 0.21 away from 1. The one that is closest to the perfect fit is -0.83, since it is only 0.17 away from a perfect fit.
The thousand if this number is 533,736.
So we need to round by that place.
The answer is 534,000 because since the 7 is greater than 5, we need to round up.
Answer:
d
Step-by-step explanation:
100x² - 1 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b), thus
100x² - 1
= (10x)² - 1²
= (10x - 1)(10x + 1) → d
Answer:
Time spent rowing down stream 
Speed of boat in still water 
Step-by-step explanation:
Let speed of boat in still water be 
Speed of current 
Speed of boat down stream = 
Distance rowed down stream = 2400 m
Time spent rowing down stream =
= 
Speed of boat up stream = 
Distance rowed up stream = 
Time spent rowing up stream = 
We know that,
So,

Cross multiplying

Dividing both sides by 



Adding 60 to both sides.


Subtracting both sides by 


Dividing both sides by 5.

∴ 
Speed of boat in still water 
Time spent rowing down stream =