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lina2011 [118]
3 years ago
7

Bus A and Bus B leave the bus depot at 5 pm. Bus A takes 30 minutes to do its route and bus B takes 35 minutes to complete its r

oute. At what time are they both back at the bus depot together? Give your answer as a 12-hour clock time.
Mathematics
1 answer:
DaniilM [7]3 years ago
7 0

Answer:

8:30 pm

Step-by-step explanation:

step 1

Decompose the numbers in prime factors

30=(2)(3)(5)\\35=(5)(7)

step 2

Find the LCM

The LCM of 30 min and 35 minutes will be given as

LCM=(2)(3)(5)(7)=210\ min

step 3

Adds 210 minutes to the starting time

First, converting 210 minutes to hours

Remember that

1\ h=60\ min

will need dividing 210 by 60

210/60=3.5\ h

therefore

5:00 pm+3.5 h=8:30 pm

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BigorU [14]

Answer:

5 terms

to the fourth degree

leading coeff of 1

3 turning points

end behavior (when x -> inf, y -> inf. When x -> - inf, y -> -inf)

x intercepts are (0,-4) (0,-2) (0,1) (0,3)

Relative min: (-3.193, -25) (2.193, 25)

Relative max: (-0.5, 27.563)

Step-by-step explanation:

The terms can be counted, seperated by the + and - in the equation given.

The highest exponent is your degree.

The number before the highest term is your leading coeff, if there is no number it is 1.

The turning points are where the graph goes from falling to increasing or vice versa.

End behaviour you have to look at what why does when x goes to -inf and inf.

X int are the points at which the graph crosses the x-axis.

The relative min and max are findable if you plug in the graph on desmos or a graphing calculator.

5 0
2 years ago
The volume of a box (v) varies directly with its length (l) if one of the boxes has a volume of 325 cubic inches and a length of
stiks02 [169]

Answer:

The constant of proportionality for the group of boxes is: 25

Step-by-step explanation:

Proportion means that change in one quantity causes change in other quantity. Direct variation means that increase in one quantity causes increase in the other quantity.

Let l be the length and v be the volume

Then according to given statement

V∝l

Removing the proportionality symbol introduces a constant in the equation

V = kl

Putting V = 325 and l = 13

325 =k(13)\\k = \frac{325}{13}\\k = 25

Hence,

The constant of proportionality for the group of boxes is: 25

5 0
3 years ago
We want to find the zeros of this polynomial:
slava [35]

Answer:

x=-3        x=-1            x=2         x=-2

Step-by-step explanation:

p(x) = (x^2 + 4x + 3)(x^2 – 4)

Set this equal to zero to find the x intercepts

0 = (x^2 + 4x + 3)(x^2 – 4)

Using the zero product property

(x^2 + 4x + 3) =0      (x^2 – 4)  =0

Factor

(x+3)(x+1) =0            (x-2) (x+2)=0

Using the zero product property

x+3 =0  x+1 =0          x-2 =0  x+2 =0

x=-3        x=-1            x=2         x=-2

7 0
3 years ago
Irrational number formula​
alexgriva [62]

Answer:

hope it helps.

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3 0
3 years ago
EXTRA POINTS PLS HELP WILL MARK BRAINLIEST :)
disa [49]

Answer:

1 is a parallelagram

Step-by-step explanation:

its a parallelogram because al the sides are equal and its leads to an positive angle measurement

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3 years ago
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