Answer:
2y^2+18x
Step-by-step explanation:
4y^2 + 6x -2y^2 + 12x
=4y^2-2y^2+6x+12x
=2y^2+6x+12x
=2y^2+18x
Answer:
$70.88
Step-by-step explanation:
To find sales tax, multiply the price by the percentage as a decimal.
$67.50 67.50(0.05) = $3.38
Since sales tax is 5%, its decimal equivalent is 0.05 and for the price of $67.50 you pay $3.38.
The total amount paid is the price added to the sales tax.
$67.50 + 3.38 = $70.88
Repeat these steps for each price in the sales amount column.
Answer:
The correct option is B
B) (1/729)c²⁷
Step-by-step explanation:
Lets write it all in an understandable form.
The given expression is:
( 9c ⁻⁹ ) ⁻³
The given options are:
A) 9c²⁷
B) (1/729)c²⁷
C) 729c²⁷
D) 9/c²⁷
Lets find the solution. The given expression is:
( 9c ⁻⁹ ) ⁻³
Multiply the outer power -3 with each term inside the bracket. It can be rewritten as.
(9⁻³) ( c ⁽⁻⁹⁾⁽⁻³⁾)
A negative power can be converted into positive by taking it down in the denominator.
The multiplication (-9)(-3) results in 27.
The equation can be written as:
( 1/9³) ( c²⁷)
Where 9³ = 729
( 1/729)( c²⁷)
which is equal to option B
Answer:
y ≈ 240.3 ft
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that the relation between an angle and the sides adjacent and opposite is ...
Tan = Opposite/Adjacent
In this triangle, the interior angle at lower right is the same as the one marked at upper left: 31°. y is the side opposite that angle, and 400 ft is the side adjacent. Then the relation is ...
tan(31°) = y/(400 ft)
Multiplying by 400 ft gives ...
y = (400 ft)·tan(31°) ≈ 240.3 ft
_____
The triangle interior angle at lower right and the angle marked 31° are "alternate interior angles" relative to the transversal marked x and the (parallel) horizontal lines in the figure. Alternate interior angles always have the same measure.
In geometry problems like this one, it means the angle of elevation (above the horizontal) is equal to the angle of depression (below the horizontal).
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