Answer:
7500 meters
Step-by-step explanation:
Isabella walked 2 × 2.5 km = 5 km. Together, they walked ...
2.5 km + 5 km = 7.5 km = 7.5×1000 m = 7500 m
Cole and Isabella walked 7500 meters altogether.
_____
"kilo-" is a prefix meaning "one thousand". So one kilometer is 1000 meters. Then 7.5 kilometers is 7.5 times 1000 meters, or 7500 meters.
Answer: y ≥ (3/5)*x - 3
Step-by-step explanation:
In the graph, we can see that we are above a bold line, that goes through the points (0, -3) and (5, 0)
First, let's find the equation for this line:
y = a*x + b
the value of a is the slope and is equal to:
a = (0 - (-3))/(5 -0) = 3/5
and the value of b is the point where the line intersects the y-axis, in this case, b = -3
then our line is
y = (3/5)*x - 3
As the shaded part is above the line, this equality represents the minimum value that y can take for a given x, and because the line is not a doted line, we know that the equality is valid, so we must use the ≥ symbol.
y ≥ (3/5)*x - 3
Answer:
80
Step-by-step explanation:
Answer:
94.7 revolutions
Step-by-step explanation:
In the question above, we are given the following values for the fan
Angular velocity = 6.2 radians per seconds
Time = 1.6 minutes.
Step 1
We would convert the time given to seconds
1 minute = 60 seconds
1.6 minutes = ?
We cross multiply
1.6 minutes × 60 seconds
= 96 seconds
Step 2
Number of revolutions made by the fan is calculated as :
Angular velocity(rad/s)
× time(seconds)
Number of revolutions = 6.2 radians per seconds × 96 seconds
=595.2 radians
Converting from radians to revolution
1 radian = 0.159155 revolutions
595.2 radians =
Cross multiply
= 595.2 radians × 0.159155 revolutions
= 94.729056 revolutions.
Approximately to the nearest tenth = 94.7 revolutions.
Therefore, the number of revolutions the fan blade makes in 1.6 minutes is 94.7 revolutions.
Answer:
y = - 2x + (1/2 38) + 2 = y = -2x + 19x + 2 at any second and y = -2x^2 / 2 + 19/2 + 2/2 = <u>- x^2 + 19/2 + 2 </u>= - x (4) + 19/2(4) + 1 = -4+ 38 + 1 = 35 seconds
Step-by-step explanation: We see that 38-2ft = 36ft and y intercept = 2 and then -2x allows us to represent the starting point 2 as -2 (1) to allow a descend to our back to 0 for y one we find y intercept we know - x^2 is our simplified equation and an input into this to find the static and slowed descend back to 0 if you keep inputting at 5 and 6 you see the equation speed up Anyway at (4) substitute = 4 seconds we divide our simplified equation a = -x2 into a b c and divide each by 2 before working out the<u> </u><u>decline</u> of the equation<u> (as equation still represents all ascending and descending) </u>for the 4th second as the height was <u>already said to be at its max at 38 feet see equation in answer to find 4 as substitute for x </u>
