8/12 and 4/6 and10/15 and20/30 and 40/60
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
brainly.com/question/20409479
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Answer:
1536 square inches
Step-by-step explanation:
In units of 5 feet, the backdrop is 3 units wide and 2 units high, for a total area of 3×2 = 6 square units.
Those same units on the scale drawing are each 16 inches. One square unit on the scale drawing is (16 in)² = 256 in². So, 6 of them have an area of ...
6 × 256 in² = 1536 in²
Distance Rate times Time
320= R 5.25
R= 60.9
R= 61 mph
Okay, notice one thing right off the bat? 60 degrees on a right triangle (unit circle w/ terminal arm) will create the infamous 30-60-90 triangle.
We can use this to our advantage. Since sin is the y-coordinate on the unit circle. We need to solve for the longest side of a 30-60-90 triangle.
We find that the long side (y) of our 30-60-90 triangle is sqrt(3)/2. Since this is in quadrant 1, we know it is positive.
So -- sin60° = sqrt(3)/2
