Answer:
3.25
Step-by-step explanation:
The slope formula is slope = y2 - y1 / x2 - x1 and the variables are found by assigning them with their corresponding values. Here, x1 = -9, x2 = -13, y1 = 18, and y2 = 5. Next, substitute these values in and get 5 - 18 / -13 - (-9). This can fully simplify to 13 / 4 or 3.25.
The rate of change is 6 secs/foot in terms of seconds per foot.
Step-by-step explanation:
Put A = 2, B = 3, C = 9 and D = 15 to the given expressions.
Use PEMDAS.
-A + C - (D : B)
-2 + 9 - (15 : 3) = -2 + 9 - 5 = 7 - 5 = <u>2</u>
B × (-C) - (-D) + A
3 × (-9) - (-15) + 2 = -27 + 15 + 2 = -12 + 2 = <u>-10</u>
(C + D) : B + A
(9 + 15) : 3 + 2 = 24 : 3 + 2 = 8 + 2 = <u>10</u>
D : B + A - C
15 : 3 + 2 - 9 = 5 + 2 - 9 = 7 - 9 = <u>-2</u>
Interpret the exponent in the formula. S to the third power means to use s as a factor 3 times.
V = S to the third power = S x S x S
Find the volume of the first cube.
Substitute 4 for s.
V = 4 x 4 x 4 = 64
Find the volume of the second cube.
Substitute 7 for s.
V = 7 x 7 x 7 = 343
Tamara's first cube has a volume of 64 cubic centimeters, and her second cube has a volume of 343 cubic centimeters
Answer:
2,052,086,400.
Step-by-step explanation:
Permutation
Pr = n! / (n-r)!
30P5 = 30! / (30-5)
30P5 = 30x29x28x27x26x25! / 25!
(Just cancel the 25! on the numerator and denominator for easier solving.)
30P5 = 30x29x28x27x26
30P5 = 17,100,720.It is not the final answer because we can still arrange the 5 winners.
5! = 5×4×3×2×1 = 12017,100,720 × 120 = 2,052,086,400
