The true statement about Sam’s conjecture is that the conjecture is not correct
<h3>How to determine if Sam’s conjecture is correct or not?</h3>
Sam’s conjecture is given as:
For x ≤ - 2
It is true that x^5 + 7 > x^3.
The inequality x ≤ - 2 means that the highest value of x is -2
Assume the value of x is -2, then we have:
(-2)^5 + 7 > (-2)^3
Evaluate the exponents
-32 + 7 > -8
Evaluate the sum
-25 > -8
The above inequality is false because -8 is greater than -25 i.e. -8 > -25 or -25 < -8
Hence, the true statement about Sam’s conjecture is that the conjecture is not correct
Read more about conjectures at
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Answer:
1.22111111111
Step-by-step explanation:
you divide normally but add decimal
Answer:
X < 5
Step-by-step explanation:
2x - 6 < 1 × 4
2x < 4 + 6
x < 10 / 2
x < 5
Answer:
2.29 rads
Step-by-step explanation:
The length of the arc of a circle of radius r is given by;
l = rθ ---------------------------(i)
Where;
l = length of the arc
θ = central angle o that intercepts that arc and measured in radians.
From the question:
l = 16ft
r = 7ft
Substitute these values into equation (i) as follows;
16 = 7θ
Make θ subject of the formula
θ =
θ = 2.29
Therefore, the radian measure of the central angle is 2.29 rads
<span>This problem is solved using the chain rule.
the area of the square is f(t) and the length of the side is g(t)
f(t)=g(t)^2
g'(t)=5
Using the chain rule
f'(t)=2*g(t)*g'(t)
The value of g(t) is sqrt(49) which is 7.
g'(t) is given as 5 cm/s
f'(t)=2*7*5=14*5=70cm^2/s</span>