The picture in the attached figure
we know that
volume of <span>a rectangular prism=L*W*H
where
L=4 in
W=5 in
H=10 in
so
</span>volume of a rectangular prism=4*5*10----> 200 in³
<span>
the answer is200 in</span>
³<span>
</span>
Answer: C
Step-by-step explanation: 6 being positive will be first, so you can already get rid of A and B. To find the order of the next numbers, know that in negative numbers, the higher the number is, the lower its actual value is.
Answer:
x=3, y=9
Step-by-step explanation:
5x-2y=-3
4x-2y=-6
Then:
solve for y:
-2y=-6-4x
y=3+2x
Substitute y into either equation:
4x-2(3+2x)=-6
4x-6-4x=-6
-6=-6, use other equation
5x-2(3+2x)=-3
5x-6-4x=-3
x-6=-3
x=3
then:
y=3+2(3)
y=9
Given:
The two functions are:


To find:
The statement that best compares the graph of g(x) with the graph of f(x).
Solution:
The horizontal stretch is defined as:
...(i)
If
, the function f(x) is horizontally stretched by factor
.
If
, the function f(x) is horizontally compressed by factor
.
We have,


Using these functions, we get
...(ii)
On comparing (i) and (ii), we get

Since
, the function f(x) is horizontally stretched by factor
.
Hence, the correct option is D.
Area formula for rectangles: L x W
Answer: 3 x 2a + 3 x 5 = 3 x 2a x 5
You know that the expressions are equivalent, because when you solve for a you get a = 5/8 or 0.625