Answer:
2005
Step-by-step explanation:
k<28
Step 1: Simplify both sides of the inequality.
−k+28>0
Step 2: Subtract 28 from both sides.
−k+28−28>0−28
−k>−28
Step 3: Divide both sides by -1.
−k
/−1 > −28
/−1
k<28
The quickest way to tell if a line is perpendicular is to find the slope, so you'll need to get the slope for both lines
PQ = ((-8) - (-9))/(2 - 0) = 1/2
and, for reference, a perpendicular slope is the negative reciprocal of the original (so we're looking for -2)
RS = (3 - 4)/(3 - 1) = -1/2
so, no, these two lines aren't perpendicular because the slope of RS is only the negative of PQ, not the negative <em>reciprocal</em>.
Answer:
1125 m
Step-by-step explanation:
Given equation:
where:
- h = height (in metres)
- t = time (in seconds)
<u>Method 1</u>
Rewrite the equation in vertex form by completing the square:
The vertex (15, 1125) is the turning point of the parabola (minimum or maximum point). As the leading coefficient of the given equation is negative, the parabola opens downward, and so vertex is the maximum point. Therefore, the maximum height is the y-value of the vertex: 1125 metres.
<u>Method 2</u>
Differentiate the function:
Set it to zero and solve for t:
Input found value of t into the original function and solve for h:
Therefore, the maximum height is 1125 metres.
First you want to put them in order from least to greatest.
65, 72, 74, 75, 86, 89, 93, 95, 96, 97, 100.
Now you count the numbers on the left and right until you get to the middle, there is an uneven number so therefor you wont have to do any extra math.
65, 72, 74, 75, 86, 89, 93, 95, 96, 97, 100. there is 5 on each side 89 being the median.
Now moving onto the mode. You will need all of them for this not taking out the ones of there being multiple.
95, 95, <span>96, 100, </span>86, 75, 75, 75, 74, 72, 89, 97, 93, 65
You need to find the number that there is the most of to find the mode. to do this keep score of how many of each of the numbers there is
95, 95, 96, 100, 86, 75, 75, 75, 74, 72, 89, 97, 93, 65 The most commonly occuring number is 75 in this dataset.
Reviewing our answers.
In the end the median is 89 and the mode is 75
