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deff fn [24]
2 years ago
15

Diane walks 5,000 steps each day for exercise. Over the next year, her goal is to increase the number of steps she walks each da

y by 10.
Let f(x) represent the number of steps Diane plans to walk on day x since beginning her goal. What does f(100)=6,000 represent?
(a) Diane plans to walk 100 steps on day 5,000 since beginning her goal.
(b) Diane plans to walk 100 steps on day 6,000 since beginning her goal.
(c) Diane plans to walk 5,000 steps on day 100 since beginning her goal.
(d) Diane plans to walk 6,000 steps on day 100 since beginning her goal.
Mathematics
1 answer:
tekilochka [14]2 years ago
8 0

Answer:

d

Step-by-step explanation:

f(x) is the number of steps, and x is the number of days.

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The measure of an angle in standard position is given. Find two positive angles and two negative angles that are coterminal with
Pani-rosa [81]
Notice the picture below

negative angles, are just angles that go "clockwise", namely, the same direction a clock hands move hmmm so....  and one revolution is just 2π

now, you can have angles bigger than 2π of course, by simply keep going around, so, if you go around 3 times on the circle, say "counter-clockwise", or from right-to-left, counter as a clock goes, 3 times or 3 revolutions will give you an angle of 6π, because 2π+2π+2π is 6π

now... say... you have this angle here... let us find another that lands on that same spot

by simply just add 2π to it :)  

\bf \cfrac{7}{6}+2=\cfrac{19}{6}\qquad thus\qquad \cfrac{7\pi} {6}+2\pi =\cfrac{19\pi }{6}
\\\\\\
\cfrac{19\pi }{6}\impliedby co-terminal\ angle

now, that's a positive one
and  \bf \cfrac{7}{6}-2=-\cfrac{5}{6}\qquad thus\qquad \cfrac{7\pi} {6}-2\pi =-\cfrac{5\pi }{6}
\\\\\\
-\cfrac{5\pi }{6}\impliedby \textit{is also a co-terminal angle}

to get more, just keep on subtracting or adding 2π


8 0
3 years ago
It's was 55°F outside until the temperature increased 20°F. Which number is the additive inverse of the temperature increase?
MArishka [77]
55+20=75ºF
I am very confused but I'm guessing.
3 0
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A car salesperson earns a $500 fee per car she sells. If she sells 4 cars in one day, how much money does she earn in fees?
Bumek [7]
She will earn $2,000 fees for the 4 cars that she sold.
5 0
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yawa3891 [41]

Answer:

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7 0
3 years ago
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A car travels at 55 mi/h and gets 11km/l of gasoline. How many gallons of gasoline are needed for a 3.0-h trip?
ella [17]

Answer:

6.377 gallons of gasoline are needed for the 3h trip.

Step-by-step explanation:

This problem can be solved by consecutive direct rule of three's.

A rule of three is called direct when the relationship between both measures is direct. It means that as the value one of measures increases, so will the alue of the other measure.

The first step is to know how much the car traveled.

The trip was 3-h long, and the car traveled at 55 mi and hour. So:

1 hour - 55mi

3 hour - x mi

x = 55*3

x = 165 miles

The car traveled 165 miles.

Then we need to know how many kilometers the car traveled.

Each mile has 1.61km, so:

1 mile - 1.61km

165 miles - x km

x = 165*1.61

x = 265.5 km

The car traveled 265.5 km

Now we need to know how many liters the car used

For each liter used, the car can travel 11 km, so:

1L - 11km

xL - 265.5 km

11x = 265.5

x = \frac{265.5}{11}

x = 24.14L

The car used 24.14L

The final step is converting from L to gallons.

Each liter has 0.264 gallons, so:

1L - 0.264 gallons

24.14L - x gallons

x = 0.264*24.14

x = 6.377 gallons

6.377 gallons of gasoline are needed for the 3h trip.

7 0
4 years ago
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