Answer:
13 ft/s
Step-by-step explanation:
t seconds after the boy passes under the balloon the distance between them is ...
d = √((15t)² +(45+5t)²) = √(250t² +450t +2025)
The rate of change of d with respect to t is ...
dd/dt = (500t +450)/(2√(250t² +450t +2025)) = (50t +45)/√(10t² +18t +81)
At t=3, this derivative evaluates to ...
dd/dt = (50·3 +45)/√(90+54+81) = 195/15 = 13
The distance between the boy and the balloon is increasing at the rate of 13 ft per second.
_____
The boy is moving horizontally at 15 ft/s, so his position relative to the spot under the balloon is 15t feet after t seconds.
The balloon starts at 45 feet above the boy and is moving upward at 5 ft/s, so its vertical distance from the spot under the balloon is 45+5t feet after t seconds.
The straight-line distance between the boy and the balloon is found as the hypotenuse of a right triangle with legs 15t and (45+5t). Using the Pythagorean theorem, that distance is ...
d = √((15t)² + (45+5t)²)
First you distribute what’s outside the parentheses (the -4)
-4•4= -4y
-4•-2= 8
New equation: -4y+8=12
Now you solve like a normal equation
12-8 is 4
New equation: -4y=4
Now divide
Answer:-1
Hi there!
A year is 365 days, correct?
If we save our pennies up from January 1st to December 31st, you'd have 3 dollars (since 100 pennies is 1 dollar) and 65 pennies left over. If it was a leap year, however, you'd have 3 dollars and 66 cents. :)
Hope this helps! :D
Answer:
$11.25
Step-by-step explanation:
Multiply the number of hours she works by how much she gets paid per hour.
800
Multiply 50 times 7 (50 being the amount charged for her kid and 7 being the days of the week)
350
Subtract the 350 from the 800
450
Divide the 450 by the number of hours worked per week
450/40
Answer: 11.25
So Sally actually makes 11.25 per hour.
The second data set represents the boxplot because in the box plot the measure of statistics is the same as the data set option second is correct.
<h3>What is the box and whisker plot?</h3>
A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.
We have given a data set and a box plot shown in the picture.
From the boxplot we can see:
Minimum value = 2
Q1 = (2+4)/2 = 3
Median = (4+6)/2 = 5
Q3 = (8+10)/2 = 9
Maximum value = 10
The second data set:
{2, 3, 3, 4, 5, 5, 8, 10, 10}
Minimum value = 2
Q1 = (2+4)/2 = 3
Median = (4+6)/2 = 5
Q3 = (8+10)/2 = 9
Maximum value = 10
Thus, the second data set represents the boxplot because in the box plot the measure of statistics is the same as the data set option second is correct.
Learn more about the box and whisker plot here:
brainly.com/question/3209282
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