Answer:
The answer is 20/80.
Step-by-step explanation:
1/4=5 yards
? =100 yards
100÷5=20
1/4×20
=20/80.
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Answer:
30 revolutions
Step-by-step explanation:
to calculate the revolution of the wheels in 66 metres we need to get the circumference
circumference = 2πr, r = radius (diameter divided by 2) but from the formula of circumference we ca rewrite it as πd= 3.14 x 70 = 219.8cm
next convert 66 metres to cm
100cm = 1m
x= 66m
cross multiply
x= 66m x100cm/1m= 6600cm
revolutions in 66metres = 6600cm/219.8cm = 30.0272975 ≅30 revolutions
Evaluate the function
g(x) = 2x2 + 3x – 5 for the input values -2, 0, and 3.
This is tedious math work but necessary to sharpen your skills.
Let x = -2
g(-2) = 2(-2)^2 + 3(-2) – 5
g(-2) = 2(4) - 6 - 5
g(-2) = 8 - 11
g(-2) = -3
Now let x = 0 and repeat the process.
g(0) = 2(0)^2 + 3(0) - 5
g(0) = 0 + 0 - 5
g(0) = -5
Lastly, let x = 3.
g(3) = 2(3)^2 + 3(3) - 5
g(3) = 2(9) + 9 - 5
g(3) = 18 + 9 - 5
g(3) = 27 - 5
g(3) = 22
Did you follow through each step?
Answer:
C.
Step-by-step explanation:
Given:
To find the domain of a logarithmic function, we need to take the argument, 8x, and set it greater to zero. This is because an argument of a logarithmic function cannot be zero or negative.
So since x is greater than zero, we have just found out our domain:
Interval Notation: (0, ∞)
Set Notation: {}
A rectangle is a two-dimensional shape with two sets of equal, parallel sides. These dimensions are the length (L) and the width (W). The formula for the rectangle's area is the product of the two dimensions. The formula for perimeter is
P = 2L + 2W
Since
A = LW = 64
W = 64/L
Substituting to the formula for perimeter would be,
P = 2L + 2(64/L)
P = 2L + 128/L