Answer:
48 ≥ 4x + 2y
44 ≥ 2x + 2y
First, we will look at assembling hours.
"The standard model requires 4 hours to assemble [<em>and</em>] the artisan model requires 2 hours to assemble"
We also know they have 48 hours per day for assembly, x is standard model and y is artisan model.
48 = 4x + 2y
Lastly, they do not <em>need</em> to make that many, but they <em>can</em> so we will use greater than or equal to.
48 ≥ 4x + 2y
Now let us look at finishing hours.
"The standard model requires ... 2 hours for finishing touches. The artisan model requires ... 2 hours for finishing touches."
We also know they have 44 hours per day for assembly, x is standard model and y is artisan model.
44 = 2x + 2y
Again, they do not <em>need</em> to make that many, but they <em>can</em> so we will use greater than or equal to.
44 ≥ 2x + 2y
G = gallons d = days
10g = 3d
?g = 1d
1g = ?d
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for gallons in a day, divide 10g = 3d by 3
d = 10/3 gallons
3 and 1/3 gallons in a day
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for days per gallon, divide 10g = 3d by 10
g = 3/10 days
1 gallon lasts 3/10 of a day
Answer:
Below in bold.
Step-by-step explanation:
Using the point-slope form of a straight line equation:
y - y1 = m(x - x1)
y - (-1)) = -2/5(x - -10)
y + 1 = -2/5(x + 10)
y + 1 = -2/5x - 4
y = -2/5x - 5.
In standard form this is:
2x + 5y = -25.
Given:
The matrix multiplication

To find:
The order of resulting matrix.
Solution:
We know that, if order of first matrix is
and the order of second matrix is
, then the order of these two matrices is
.
We have,

Here, the order of first matrix is
and the order of the second matrix is
. So, the order of the second matrix is
. It is also written are 2 by 1.
Therefore, the correct option is A.
Answer
Exponential function is in the form of :
.....[1]
where a is the initial amount and r is the growth rate and (1+r) is the growth factor.
Given the function: 
On comparing with equation [1] we have;
Initial amount(a) = 12
1+r = 1.05
Subtract 1 from both sides we get;
or 5%
Growth (r) = 0.05 or 5%
Now, evaluate the function for t = 5 we have;
Substitute the value of t=5 in the given function we have;


Therefore, the value of function when t=5 to the nearest tenth is 15.3