The rate of change will be given by:
v(h)=3√h=3h^0.5
The rate of change will be:
v'(h)=(3×0.5)x^-0.5=1.5x^-0.5
hence when h=2 meters, then the rate of change will be:
v'(h)=1.5×2^-0.5
v'(h)=1.061 m/s
Answer:
X = 52°
Step-by-step explanation:
Because it is equalitral triangle in which all sides have angles
Answer:
7
Step-by-step explanation:
x-7=7-x
2x-7=7
2x=14
x=7
Here, we are required to find the first term of an arithmetic progression which has a second term of 96 and a fourth term of 54.
- The first term of the progression which has a <em>second term</em> of 96 and a <em>fourth term</em> of 54 is; a = 117.
<em>In Arithmetic progression, the N(th) term of the progression is given by the formular;</em>
T(n) = a + (n-1)d
where;
Therefore, from the question above;
- T(2nd) = a + d = 96..............eqn(1)
- and T(4th) = a + 3d = 54..........eqn(2)
By solving the system of equations simultaneously;
we subtract eqn. 2 from 1, then we have;
<em>-2d = 42</em>
Therefore, d = -21.
However, the question requests that we find the first term of the progression; From eqn. (1);
a + d = 96
Therefore,
Ultimately, the first term of the progression is therefore; a = 117
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Answer:
440
Step-by-step explanation:
You can write the problem statement in math terms as ...
88 = 0.20 × (what number)
To solve this, divide by the coefficient of the variable, 0.20.
88/0.20 = (what number)
440 = (what number)
The number you're looking for is 440.
_____
Of course you know that 20% = 20/100 = 0.20.
(% is a shorthand way to write /100.)