Answer:
c) 1 2 4 8
Step-by-step explanation:
<u>Explanation </u>:-
<u><em>Geometric sequence</em></u>
The sequence is of the form a , a r , a r² , a r³ ,.......
'a' is the first term
'r' is the common ratio
1 , 1(2) , 1( 2)² , 1( 2 )³ ...... is a geometric sequence
here a = 1
common ratio
<em>The sequence 1 2 4 8 is a geometric sequence</em>
For the given triangle, x = 8.6 cm.
Step-by-step explanation:
Step 1:
In the triangle, the given angle is 35°, the hypotenuse side's length is 15 cm. Assume the opposite side's length is x cm. To determine the opposite side's length, we determine the sin of the angle. To calculate the sin of an angle, we divide the opposite side's length by the hypotenuse's length.
Step 2:
The opposite side's length = x cm.
The hypotenuse side's length = 15 cm.
So x of the given triangle measures 8.6025 cm, rounding this off, we get 8.6 cm.
The piecewise function describing the cost C of the reunion are C(x) = 500 + 17.5x, where x <= 40 and C(x) = 1200 + 14.75(x - 40), where x > 40
<h3>Write a piecewise function describing the cost C of the reunion.</h3>The given parameters are:
Reserve = $500
Cost per guest = $17.50 for the first 40 guests
Cost per guest = $14.75 for each additional guest
The above means that
C(x) = 500 + 17.5x, where x <= 40
C(x) = 500 + 17.5 * 40 + 14.75(x - 40), where x > 40
Next, we evaluate the functions
This gives
C(x) = 500 + 17.5x, where x <= 40
C(x) = 1200 + 14.75(x - 40), where x > 40
<h3>Use a graphing calculator to graph the function</h3>To do this, we simply plot each function with its domain
See attachment for the graph of the piecewise functions
Read more about piecewise functions at
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