Answer:
Maggie is incorrect.
Step-by-step explanation:
PEMDAS tells us the order of operations and the steps of solving a mathematical statement. It states that exponents must be performed before multiplication or division.
P - Parentheses
E - Exponents
M - Multiplication
D - Division
A - Addition
S - Subtraction
Therefore, to solve 12÷3² correctly, 3² needs to be simplified to 9 <em>before</em> dividing.
I hope this helps!
Answer:
Choice A (older trees are generally taller than younger trees)
Step-by-step explanation:
As you increase the x value, the y value tends to increase as well. Choice B is incorrect because the points are clustered together in a linear fashion, showing correlation. Choice C is incorrect because the fact that they are clustered around a line of best fit shows high correlation. Choice D is incorrect because a negative correlation coefficient would mean the y decreases as x increases.
To estimate the degree of a polynomial, you just have to take a look at the highest power in the expression. Since here, that is number 4, then it means that this polynomial is a fourth degree polynomial, or quartic polynomial, if you want to sound smart. :)
Answer:
18:12 (accurate)
3:2 (simplified)
Step-by-step explanation:
The team won 18 games out of 30 total games. Find the amount of games lost by simply subtracting 18 with 30:
30 - 18 = 12
The ratio you are trying to find is won to lost, or won:lost. Plug in the corresponding numbers to the corresponding terms:
won:lost ⇒ 18:12
18:12 is the ratio.
If the teacher asks you to simplify, factor both sides. Divide 6 from both sides:
(18)/6 : (12)/6
3:2
3:2 is your simplified ratio.
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Define
g = 9.8 32.2 ft/s², the acceleration due to gravity.
Refer to the diagram shown below.
The initial height at 123 feet above ground is the reference position. Therefore the ground is at a height of - 123 ft, measured upward.
Because the initial upward velocity is - 11 ft/s, the height at time t seconds is
h(t) = -11t - (1/2)gt²
or
h(t) = -11t - 16.1t²
When the ball hits the ground, h = -123.
Therefore
-11t - 16.1t² = -123
11t + 16.1t² = 123
16.1t² + 11t - 123 = 0
t² + 0.6832t - 7.64 = 0
Solve with the quadratic formula.
t = (1/2) [-0.6832 +/- √(0.4668 + 30.56) ] = 2.4435 or -3.1267 s
Reject the negative answer.
The ball strikes the ground after 2.44 seconds.
Answer: 2.44 s