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Digiron [165]
3 years ago
13

Explain why each function is continuous or discontinuous. (a) The temperature at a specific location as a function of time (b) T

he temperature at a specific time as a function of the distance due west from New York City (c) The altitude above sea level as a function of the distance due west from New York City (d) The cost of a taxi ride as a function of the distance traveled (e) The current in the circuit for the lights in a room as a function of time
Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
3 0

Answer:

(a) The temperature at a specific location as a function of time.

This is a continuous function as the temperature cannot increase in an instant like time.

(b) The temperature at a specific time as a function of the distance due west from New York City.

This is a continuous function as the temperature in one location is affected by its neighboring places.

(c) The altitude above sea level as a function of the distance due west from New York City.

The altitude above sea level can be discontinuous at a cliff, or continuous at very deep hole.

(d) The cost of a taxi ride as a function of the distance traveled.

This is a discontinuous function as the cost still raises if you make a stop.

(e) The current in the circuit for the lights in a room as a function of time.

This is a discontinuous function as the function takes the value of 0 when the switch is off and 1 when the switch is on.

The electron traveling speed makes this discontinuous.

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Rachel is considering moving into a one-bedroom apartment in Glen Gardens. The apartment has a monthly rent of $1,300. Below are
TiliK225 [7]
She is expected to pay $4508 up front.

Application fee:  2% of 1300 = 0.02(1300) = 26
Credit application fee:  10
Security deposit:  1300
Last month's rent:  1300
Broker fee:  12% of year's rent = 0.12(1300)(12) = 1872

26+10+1300+1300+1872 = 4508
8 0
3 years ago
Miguel sells insurance. He earns a 6% commission on each sale he makes. Miguel has a goal of earning $600 in commissions. Miguel
tankabanditka [31]

Answer: $12,000

Step-by-step explanation:

Miguel makes 6% on every sale he makes and wants to make $600 in commissions.

The amount he needs to sell is therefore the amount that has $600 as 5% of it.

Assume the amount of insurance needed is x.

x * 5% = 600

x = 600 / 5%

x = $12,000

4 0
3 years ago
I need help ASAP!!!!
mrs_skeptik [129]

Answer:

Step-by-step explanation:

the shape is made up of 2 circles and one box add the 3 areas up

circle area = \pir^{2}

3.14*4^{2} = 50.24

50.24*2 =100.48

box, box,  pit now  :P  ooh I was thinking formula one racing,  ( i've been watching that lately)  anyway

box = 8*8 = 64

total = 164.48  is that an option? hmm, yes the bottom two choices.. now the perimeter .  the perimeter is made up of the 2 circles

the circumference of a circle is 2\pir

2*\pi*r

2*\pi*4 =25.1327    that's one whole circle , multiplied by 2 , I can see , by math in my head that's about 50.26

sooo

the 3rd choice looks good  :)

5 0
3 years ago
You start driving south for 2 miles, turn left, and drive east for another 9 miles. At the end of driving, what is your straight
yulyashka [42]
Use the Pythagorean Theorem: .

So your straight line distance is 10.

We can also recognize this as a multiple of the 3-4-5 Pythagorean triple. We have , with x being the desired value. Therefore x=10, like previously.
4 0
3 years ago
Read 2 more answers
WILL GIVE BRAINLY Find the perimeter of the figure below, in meters.
yan [13]

Answer:

147.6\:\mathrm

Step-by-step explanation:

The perimeter of a polygon is simply sum of the lengths of all sides of the polygon.

Therefore, we can find this polygon's perimeter by adding up the length of each of its sides:

9.8+9.8+11.7+9.8+21.5+21+11.7+9.8+31.3+11.2=\boxed{147.6\:\mathrm{m}}

Since there is a lot to keep track of, I'd recommend picking any side and moving clockwise/counter-clockwise until you get all sides.

3 0
3 years ago
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