Answer: n=6
Step-by-step explanation:
2^3 x 4^3 = 2^3 x 2^n = 2^9
(2×2×2) ×(4×4×4) = (2x2x2) ×2^n=(2x2x2x2x2x2x2x2x2)
8 x 64 = 8x 2^n = 512
512= 8x 2^n = 512
divide all through by 8 so that 2^n can stand alone
512/8 = (8x 2^n)/8 = 512/8
64 = 2^n = 64
express 64 as a base of 2
2^6 = 2^n = 2^6
since they all have same base, cancel out the base.
therefore,
6=n=6
n = 6
Answer:
The is answer is the last one.
Step-by-step explanation:
I just took the test
Answer:
4 3/16 miles a day
Step-by-step explanation:
16 3/4 miles in 4 days
Divide 16 3/4 by 4
16 3/4 = 67/4
4 = 4/1
To divide you multiply by the reciprocal(flip of the numerator and denominator)
67/4 ÷ 4 = 67/4 x 1/4 = 67/16
67/16 = 4 3/16
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V=Bh what is the height of the prism? You do (35^2 )(height)
In analytical geometry, we can find the linear distance between two parallel lines by determining the coefficients of the variables and the constants. The general equation for a linear equation is: Ax + By = C.
Line 1: 2x - 3y = -4
Line 2: 2x - 3y = -15
In this case, A=2 and B=-3. The constants are C₁ = -4 and C₂ = -15. The distance follows this formula:
d = |C₁ - C₂|/(√(A²+B²)
d = |⁻4 - ⁻15|/(√(2²+⁻3²)
d = 3.051 units
