31. It gives you the equation f(x) = -2x + 4 and asks you to solve for f(12). To solve this you must replace x in the equation -2x + 4 with 12 like so:
-2(12) + 4
Remember that when solving this use your rules of PEMDAS. In this case you will first multiply -2 and 12 then add the product with 4
-24 + 4
f(12) = -20
33. Replace x in the equation x³ - x with 5 like so...
5³ - 5
Again, remember to use the rules of PEMDAS to solve this. First take the cube of 5 then subtract 5 from the answer
125 - 5
g(5) = 120
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
1.)4188.79
2.) 7238.23
3.)1.02
4.)4189
5.)170 cm³
Step-by-step explanation:
1.) 4πr2 * 5
2.) 4πr2 * 12
3.) V = 4/3(PI*r3). *4.5
4.) V = 4/3 π r ^3 * 10
5.) Given:
Cylindrical container: height = 18 cm ; diameter = 6 cm.
3 balls each have a radius of 3 cm.
Volume of a cylinder = π r² h
V = 3.14 * (3cm)² * 18 cm
V = 508.68 cm³
Volume of rubber ball = 4/3 π r³
V = 4/3 * 3.14 * (3cm)³
V = 113.04 cm³
113.04 cm³ * 3 balls = 339.12 cm³
508.68 cm³ - 339.12 cm³ = 169.56 cm³ or 170 cm³
There is 170 cm³ free space in the container.
Answer:
sugar is bad so just use cream
Step-by-step explanation:
sugar can increase the risk of weight gain, diabetes, tooth cavities, and more.
hope this helps
<span>Let the height of tree be denoted as AB and the shadow cast by the tree be BE. ABE is the triangle formed the tree, rays and the ground. Let the height of the person be CD and the length of his shadow be DE. CDE is the triangle formed by the person, rays and the ground.
We have two triangles. Both the person and the tree stand vertically over the horizontal ground, therefore they make 90 degrees with the ground. The angle formed at the ground is the same for the both the triangles. Therefore, by AA similarity the two triangles are similar.
We know that if two triangles are similar, then their sides are proportional.
Therefore,
AB/CD =BE/DE
AB/6 = 143/11
AB= (143/11) *6
AB = 78 ft.</span>
Answer:
2
Step-by-step explanation:
let the other leg be x
Using Pythagoras' identity
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 1² = 3²
x² + 1 = 9 ( subtract 1 from both sides )
x² = 8 ( take the square root of both sides )
x = 
= 
= 
× = 2 ← exact value
