Answer:
B. 24inches
Step-by-step explanation:
<u>Original photo</u>
Width= 3inches
length= 5inches
<u>New photo</u>
width=
length= 40inches
3×8=24inches
5×<u>8</u>=40inches
Answer: Option c.
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:

Where "m" is the slope and "b" is the y-intercept.
Given the equation:

Solve for "y" in order to write in Slope-Intercept form:

Now you can identify that that the slope and the y-intercept are:

A posive slope means that the the line moves upward from left to right.
With this information, you can conclude that the the graph that best represents the given equation is the graph shown in the Option c.
Answer:
x = 3.53 ft
y - 3.53 ft
z = 3.53 ft
Step-by-step explanation:
given details
volume = 44 ft^3
let cardboard dimension is x and y and height be z
we know that area of given cardboard without lid is given as
A = xy + 2xy + 2yz
xyz = 44 ft^3
To minimize area we have
A = xy + 2x (44/xy) + 2y(44/xy)
A = xy + (44/y) + (44/x)
we have

................1


..............2
from 1 and 2

xy(y-x) = 0
xy = 0 or y = x
from geometry of probelem
x ≠ 0 and y ≠ 0
so y = x
x^3 = 44
x = 3.53 ft = y
z = 44/xy = 3.53
The given equations satisfy the given conditions. There are
2 equations and 2 unknowns, so a certain solution can be found.
This can be solved using substitution,
Substituting eqn 2 to eqn 1:
2(2y – 10) + 3y =1240
Simplifying,
y = 180
x = 350
So scientific notation is making the number manageable.
scientific notation is
(a number >1 and <10) times 10^x
we count how many places the decimal has to move to make the number >1 and >10.
the answer is 6.
5.74 times 10^6