<span>The correct
answer is 3.24 grams per cubic centimetre. As a matter of fact, the
lunar soil’s mean density may range from 2.90 to 3.24 g cm-3 which highly
depends on the type of ingredients present in its resource materials.</span>
Answer:
No, she needs 1/6 cup more
Step-by-step explanation:
She has 3 1/4 cups
She uses 2 2/3
Subtract
3 1/4 - 2 2/3
Get a common denominator of 12
3 1/4 *3/3 - 2 2/3 *4/4
3 3/12 - 2 8/12
Borrow 1
2 12/12 +3/12 - 2 8/12
2 15/12 - 2 8/12
7/12
She borrows 1 cup
1 7/12
She needs 1 3/4 *3/3 =1 9/12
She is short
1 9/12 - 1 7/12 = 2/12 or 1 /6
Answer:
$30,000
Step-by-step explanation:
The capital value is given by

where R(t) is annual rate
r - annual rate of interest
capital value 
= lim at b tend to infinity
=lim at b tend to infinity ![\left [ \frac{1200}{-0.04} e^{-0.04 t} \right ]_0^b](https://tex.z-dn.net/?f=%20%5Cleft%20%5B%20%5Cfrac%7B1200%7D%7B-0.04%7D%20e%5E%7B-0.04%20t%7D%20%5Cright%20%5D_0%5Eb)
-30,000 { lim at b tend to inifinity![(e^{-0.04 b) = e^0]](https://tex.z-dn.net/?f=%20%28e%5E%7B-0.04%20b%29%20%3D%20e%5E0%5D)
As

Substitute 1 for x in each of your equations.
f(x)=7-3x
which is
f(1)=7-3(1)
=3
Do the same for g(x)
g(x)=3x-7
which is
g(1)=3(1)-7
=-4
Then subtract g(x) from f(x):
3-(-4)
=7
:)
Step-by-step explanation:
Given:
2x−y=7
Matching given equation with the variables,
a=2
and
b=−1 .
Swap "a" and "b"
-x + 2y = 7
Because b is negative, let's change that one:
x + 2y = 7
Is perpendicular to
2x−y=7
. Here is a graph to prove it:
The red line is
2x−y=7
The blue line is
x+2y=7
If you want the perpendicular line to go through a given point, then make the constant term on the right a variable (for example k)
x+2y=k
Now lets make the perpendicular line go through the point
(1,1)
by substituting 1 for x, 1 for y and the solving for k:
1+2(1)=k
k=3
The equation of the line that perpendicular to
2x−y=7 and goes through the point
(1,1)is:
x+2y=3
Please mark me as brainleist.