Answer: he will need 355.68 centimeters³ of sand to fill half of the sandbox
Step-by-step explanation:
The formula for determining the volume of a rectangular prism is expressed as
Volume = length × base × height
It can also be expressed as
Volume = base area × height
The area of the base of the sandbox is 124.8 square centimeters, and it will have a height of 5.7 centimeters. This means that the volume of the sandbox is
124.8 × 5.7 = 711.36 centimeters³
Since Mr. Berger plans to fill the sandbox half full of sand, the volume of sand he will need to fill half of the sandbox is
711.36/2 = 355.68 centimeters³
1st
0.3/100*15000
=45
2nd
40/200*100
=20
=
Answer:
Step-by-step explanation:
Eliminate answer 4 immediately, because (4)(3) is not 7.
Look at answer 2: 7x + 3x = 10x, which does not match the middle term 12x in the original polynomial. Eliminate answer 2.
Look at answer 1: 1x + 21x = 22x, which does not match the middle term of the original polynomial. Eliminate answer 1.
All quadratics have solutions. Let's apply the quadratic formula to 3x^2 + 12x + 7: Here a = 3, b = 12 and c = 7, so that the discriminant b²-4ac is
12²-4(3)(7), or 144 - 84, or 60. Being positive, this tells us that the given poly has two real, unequal roots:
-12 ± √60 -12 + 2√15 -12 - 2√15
x = ----------------- = ------------------- and x = --------------------
3 3 3
Normally, if c is a root, then x - c is a factor.
If we try this here, however, the resulting factors do not at all match any of your answer choices.
Don't be offended...but please ensure you have copied this problem down correctly.
let's recall the vertical line test, it's a function if when dropping a vertical line on the graph, it only touches it once on the way down.
Check the picture below.