An expression equivalent to 3/4(5z+16) is 15/4z + 12.
Given is an expression 3/4(5z+16), we need to find the equivalentexpression,
An equivalent expression to 3/4(5z+16) can be obtained by distributing the fraction 3/4 to both terms inside the parentheses.
Here's the expression:
(3/4) x (5z + 16)
To simplify further, you can multiply the fraction 3/4 by each term inside the parentheses:
(3/4) x 5z + (3/4) x 16
This simplifies to:
15/4z + 12
Therefore, an expression equivalent to 3/4(5z+16) is 15/4z + 12.
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x/x-2+x-1/x+1=-1
The values of x are -4and 1 .
Given,
x/x-2 + x-1/x+1 = -1
To get the solution,
x≠2 and x≠1.
Now,
x/(x-2)+(x-1)(x+1) = -1
Solving the numerator and denominator,
==> (x²+x-(x²-x-2x+2))/(x²-x-2)=-1
==>4x-2=-x²+x+2
==>x²+3x-4=0
==>(x+4)(x-1)=0
Sol ={-4,1} which are different of the excluded values.
Thus the values of x are -4 and 1 .
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Answer: 14 inches
Step-by-step explanation:
Given the following :
James wants to cut a floor tile in the shape of a trapezium with the following dimension :
Top base = 12 inches
Bottom base = 16 inches
To obtain the medan, we take the average of the two bases :
(top base + bottom base) / 2
(12 inches + 16 inches) / 2
28 inches / 2
= 14 inches.
Answer:
A
Step-by-step explanation:
edge 2020
the height of the previous bounce. Let n = bounce number. Before the ball is
dropped, n = 0, because the ball has not yet bounced. Which explicit formula
represents the height of the ball after n bounces?
The height of the ball after n bounces is given by the formula a_n = 12 * 0.75^(n - 1). This formula represents a geometric sequence where each height is 75% of the previous height.
The height the bouncy ball reaches after each bounce is a geometric sequence, where each subsequent height is found by multiplying the previous height by the common ratio, 75%, or 0.75. The initial term is the original height from which the ball is dropped, which is 12 meters.
The explicit formula for a geometric sequence is a_n = a_1 * r^(n - 1). Replacing a_1 with 12 (the initial height), r with 0.75 (the common ratio), and n with the bounce number, the explicit formula to find the height of the ball after n bounces is a_n = 12 * 0.75^(n - 1).
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Answer:
Max. height following bounce # n is 12(¾)n because each prior height is multiplied by three fourths.
Step-by-step explanation: it jus is
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