Answer:
x = 5.75
Step-by-step explanation:
4^(x+7) = 8^(2x-3)
But; 4^(x+7) = 2^2(x+7)
8^(2x-3) = 2^3(2x-3)
2^2(x+7) = 2^3(2x-3)
Since the bases are the same;
2(x+7) = 3(2x-3)
2x + 14 = 6x -9
14 + 9 = 6x - 2x
23 = 4x
x = 23/4
<u>x = 5.75</u>
Answer:
9
Step-by-step explanation:
Compare your x2 + y2=81 to the following:
x^2 + y^2 = 81
The " ^ " symbol indicates exponentiation.
Now compare x^2 + y^2 = 81 to
x^2 + y^2 = r^2.
This is the standard equation of a circle of radius r centered at the origin, (0,0). You can see for yourself that 81 must equal r^2.
Taking the square root of 81, we get plus or minus 9.
But the radius must be positive, so we reject the -9 and take +9.
The radius is 9.
No because it will then equal to 1 and not 3 you have to put 3/1
The right answer is: <em>The binomial expression 2w + 6 represents the length of the fish tank.</em>
Dylan has a fish tank, so we assume that this tank is a cube. In this way, the volume of the tank is given by this expression:
Where:
h: height
w: width
l: length
We know the following things:
FIRST.<em> He knows its height, h, is one inch less than twice the width, w.</em>
This can be expressed as the following equation:
SECOND. <em>The length, l, of the fish tank is seven inches longer than the height.</em>
We can express this statement as follows:
By substituting 
in 
:
The amount due for the first term of payment is the product of the
total sales and the percentage.
(1)
Amount
due = ($85,000)(0.04) = $3,400
The total amount due for the second term of payment is the product of
the total sales and the percentages together with all the fees specified in the
item (insurance, maintenance, and utilities).
(2)
Amount
due = ($85,000)(0.03) + $175 + $50 + $345 = $3,120
If we are to compare the two amounts, using the second term of
payment, lesser amount will be paid. Thus, the answer to this item is the
second choice.
