Answer:
Step-by-step explanation:
<u>Perfect squares</u>: 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, ...
To find 
, identify the perfect squares immediately <u>before</u> and <u>after</u> 75:
See the attachment for the correct placement of on the number line.
Answer:
(2,7)
Step-by-step explanation:
You read it from the point were they intersect
Answer:
The potential energy of the ball having 2kg mass would be 
J
Step-by-step explanation:
I am assuming the ball has a mass of 2 kg, as you have not mentioned the mass of a ball.
Considering the formula for calculating the gravitational potential energy
As
kg
Acceleration of gravity = g = 9.8 
As the ball is on the height = h = 20 meters
So,
J
Therefore, the potential energy of the ball = J
Keywords: potential energy, Gravitation potential energy
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Answer:
24 square units
Step-by-step explanation:
For Trapezoid
a = 8
b = 4
h = 4
Area of Trapezoid
<em><u>A = a + b/2 * h</u></em>
= 8 + 4/2 * 4
= 12/2 *4
= 6 * 4
= 24
Thus, the area of the trapezoid is <em><u>24 square units</u></em>
Answer:
C. 2.
Step-by-step explanation:
The graph descends from the left so the coefficient of the leading term is negative. It is also a cubic equation with zeros of -20, about 6.5 and about 13. so we can write the equation as below. The last 2 values can only be guessed because the x axis only shows values which are multiples of 5.
f(x) = a(x + 20)(x - 6.5)(x - 13) where a is a negative constant.
(This is only an approximation).
By the Remainder theorem, when the expression is divided by (x + 10):
f(-10) = -20 so we have
-20 = a (-10 + 20)(-10-6.5)(-10 - 13)
(10)(-16.5)(-23)a = -20
a = -20 / (10)(-16.5)(-23)
a = -0.0053
When the equation is divided by (x - 10) then f(10) is the remainder so substituting we have as the remainder:
-0.0053(10+20)(10-6.5)(10 -13)
-0.0053 * 30 * 3.5 * -3
= 1.7 approximately.
Looks like the answer is 2.
