Answer:
a) 4.33 (three repeating)
b) 3.5
c) 3
d) 0.44
Step-by-step explanation: Mean is all the numbers added up and divided by the amount of items. All the items added together are 78. We have 18 items 78/18 = 4.3 (three repeating). Median is just the middle value. This is between 3 and 4 so 3.5. Mode is the one that shows the most. This is 3. 8 students play games for more than 4 hours. 8/18 = 0.44
Answer: the speed of the river is 9km/h
Step-by-step explanation:
Let x represent the speed of the river current.
He rides 140 km downstream in a river in the same time it takes to ride 35km upstream. This means that his speed was higher when riding downstream and it was lower when riding upstream.
Assuming he rode in the direction of the river current when coming downstream and rode against the current when going upstream.
time = distance/speed
Manuel has a boat that can move at a speed of 15 km/h
His downstream speed would be
15 + x
time spent coming downstream would be
140/(15 + x)
His downstream speed would be
15 - x
time spent going downstream would be
35/(15 - x)
Since the time is the same, then
140/(15 + x) = 35/(15 - x)
Crossmultiplying
140(15 - x) = 35(15 + x)
2100 - 140x = 525 + 35x
140x + 35x = 2100 - 525
175x = 1575
x = 1575/175
x = 9
Answer:
I think the constant is 2.
Step-by-step explanation:
5 is coefficient because it is with a variable. So 5 cannot be constant.
Given two vectors
they are parallel if they are a multiple of each other:
You can easily test this by checking if
they are orthogonal if their dot product is null:
For example, in the first case, we have
So, they aren't parallel. Similarly, you have
So, they aren't orthogonal.
In the second case, we have
So, they aren't parallel, and
So, they are orthogonal.
Finally, we have
So, they are parallel (and thus can't be orthogonal)
Answer:
Graphs 1, 2, 3
Step-by-step explanation:
Graph 1 represents a <u>linear function</u> with a domain containing all real numbers, as any input substituted into the equation or function will produce a corresponding output. The arrows on the opposite ends of the line represents the infinite input values that have its corresponding output values.
Graph 2 represents a <u>quadratic function</u> with a domain containing all real numbers, as it does not have any constraints in terms of input values. As it opens up, the graph of the parabola infinitely widens (horizontally).
Graph 3 represents an <u>absolute value function</u> with a domain containing all real numbers. Similar to the explanation for graph 2 on quadratic functions, the downward-facing graph of the given absolute value function widens infinitely horizontally, as it does not have any constraints on input values.
