Answer:
The density is equal to the weight divided by the volume:

The paperweight weights 300 grams.
Step-by-step explanation:
The density of the paperweight can be calculated knowing the weight and the volume of this paperweight.
The density is equal to the weight divided by the volume:

We know that the density of this paperweight is 1.5 grams per cm3, and its volume is 200 cm3.
We can use the formula of the density to calculate the weight:

The paperweight weights 300 grams.
Answer:

Step-by-step explanation:
We have the following function
y = 12^x, and we need to find the inverse function.
To find the inverse function we should solve the equation for "x". To do so, first, we need to:
1. Take the logarithm in both sides of the equation:
lg_12 (y) = log _12 (12^x)
(Please read lg_12 as: "Logarithm with base 12")
From property of logarithm, we know that lg (a^b) = b*log(a)
Then:
lg_12 (y) = x*log _12 (12)
We also know that log _12 (12) = 1
Then:
x = log_12(y).
Then, the inverse of: y= 12^x is:

Answer:
5
Step-by-step explanation:
use the pythogorean relationship to get the answer.
this type of relationship is used only on right angled triangles.
example: 5 12 13
Answer:

Step-by-step explanation:
We have been given that an arrow is shot straight up from a cliff 58.8 meters above the ground with an initial velocity of 49 meters per second. Let up be the positive direction. Because gravity is the force pulling the arrow down, the initial acceleration of the arrow is −9.8 meters per second squared.
We know that equation of an object's height t seconds after the launch is in form
, where
g = Force of gravity,
= Initial velocity,
= Initial height.
For our given scenario
,
and
. Upon substituting these values in object's height function, we will get:

Therefore, the function for the height of the arrow would be
.
Answer:
x=10
Step-by-step explanation:
Let the number = x
∴ 2x/5=4
∴2x=5*4
∴2x=20
∴x=20/2
∴x=10
Hope it helps you!
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