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brilliants [131]
3 years ago
7

What is the domain of the function shown in the mapping?

Mathematics
1 answer:
EastWind [94]3 years ago
4 0

Answer:

it's A

Step-by-step explanation:

The domain is all the input values which is x|x=-5,-3,1,2,6

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A bicyclist heads east at 10km/h. After she has traveled 24.2 kilometers, another cyclist sets out in the same direction going 3
Alona [7]
We know that the first cyclist has traveled 24.2 km at a speed of 10 km/h. Lets use the equation time= \frac{distance}{speed} to find the time of the first cyclist:
t= \frac{24.2}{10}
t=2.42
So, we know that she has traveled for 2.42 hours.
 
We also know that after she has traveled for 2.42 hours another<span> cyclist sets out in the same direction, so if </span>t represents the time of our first cyclist, <span>the time of our second cyclist will be </span>t-2.42.

Now we are going to use the equation distance=(speed)(time) to relate the speeds and times of the two cyclist:
For the first one:
distance=10t equation (1)
For the second one:
distance=30(t-2.42) equation (2)

Replace (1) in (2)
10t=30(t-2.42)
The only thing left now is solve for t:
10t=30t-72.6
-20t=-72.6
t= \frac{-72.6}{-20}
t=3.63

We can conclude that the second cyclist will catch up the first cyclist after 3.63 hours.


4 0
3 years ago
Using y=6-3x plot the ordered pairs from the table then graph the function represented by the ordered pairs and tell whether the
Alborosie

Answer:

9 , -9, -15, -21

Step-by-step explanation:

6-3x-1=-9

6-3x1=9

6-3x3=-15

6-3x5=-21

3 0
3 years ago
Read 2 more answers
The volume of a cylinder with a circular base with a radius of 2 meters and prism height of 5 meters is
scZoUnD [109]

Answer:

62.8 m^{3} ; if you use 3.14 for pi

Step-by-step explanation:

The volume of a cylinder is v = \pi r^{2} h

\pi is 3.14, the radius is 2, and the height is 5

3.14 times 2 squared times 5 is 62.8

4 0
3 years ago
Find the exact length of the curve. x = 1 + 6t2, y = 4 + 4t3, 0 ≤ t ≤ 3
vovangra [49]

x=1+6t^2\implies\dfrac{\mathrm dx}{\mathrm dt}=12t

y=4+4t^3\implies\dfrac{\mathrm dy}{\mathrm dt}=12t^2

The length of the curve C is given by

\displaystyle\int_C\mathrm ds=\int_0^3\sqrt{\left(\frac{\mathrm dx}{\mathrm dt}\right)^2+\left(\dfrac{\mathrm dy}{\mathrm dt}\right)^2}\,\mathrm dt

=\displaystyle\int_0^3\sqrt{144t^2+144t^4}\,\mathrm dt

=\displaystyle12\int_0^3t\sqrt{1+t^2}\,\mathrm dt

=\displaystyle6\int_0^3 2t\sqrt{1+t^2}\,\mathrm dt

=\displaystyle6\int_0^3\sqrt{1+t^2}\,\mathrm d(1+t^2)

=6\cdot\dfrac23(1+t^2)^{3/2}\bigg|_0^3

=4(10^{3/2}-1)

=40\sqrt{10}-4

8 0
3 years ago
The sides of a right triangle that form the right triangle
kow [346]

Answer:

45, 45, 90 is one of the most common angles which mostly makes the base of the sides to be 7,7,\sqrt{7}

3 0
3 years ago
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