Answer:
3:40 p.m.
Step-by-step explanation:
Add 74 minutes to 1:25 p.m.; the improperly formed result witll be 1:99 p.m.; to express this properly, add 1 hour to this time and subtract 60 minutes from it:
2:39 p.m. (time at which Avery gets off the bus)
If Avery walked 61 minutes to get home and we want to know what time she arrived, we add 61 minutes to 2:39 p.m., obtaining 2:100 p.m., which must in turn be re-written as 3:40 p.m.
Avery arrived home at 3:40 p.m.
Note: another way in which to do this problem is to add 74 minutes and 61 minutes, obtaining 135 minutes, and then adding 135 minutes to 1:25 p.m. and making the necessary adjustments to the result:
1:25 p.m. + 135 minutes = 1:160 p.m., or (recognizing that 120 min = 2 hours)
3:40 p.m.
Since they’re outside corresponding angles you can just set the 2 equations up to each other and solve for x.
5x + 20 = 3x + 60
-3x -20
2x = 40
x=2
Answer:
Differentiate using the power rule where ![d/dx[x^n]=nx^n-1,n=2](https://tex.z-dn.net/?f=d%2Fdx%5Bx%5En%5D%3Dnx%5En-1%2Cn%3D2)
the derivative would be 2x
Step-by-step explanation:
The attached graph represents a histogram that has a range of 55
<h3>How to create the histogram?</h3>
The range is given as:
Range = 55
The range is calculated as:
Range = Maximum - Minimum
So, we have:
Maximum - Minimum = 55
Rewrite as:
Maximum = Minimum + 55
Let the minimum be 10.
So, we have:
Maximum = 10 + 55
Evaluate
Maximum = 65
The following dataset can be used to create the histogram
Score Frequency
10 2
15 5
45 3
65 1
This is so because it has a range of 55
See attachment for the histogram
Read more about histogram at:
brainly.com/question/14421716
#SPJ1
ANSWER
The dot product is 10.
EXPLANATION
The given vectors are (2,4) and (1,2).
If we have the vectors
u=(a,b) and v=(c,d)
Then the dot product of the two vectors is given by

This implies that,

This simplifies to;
