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Morgarella [4.7K]
2 years ago
5

A unit rate is a ratio that compares an amount of one quantity to _______________ unit of another quantity.

Mathematics
1 answer:
masya89 [10]2 years ago
6 0

Answer:

one

Step-by-step explanation:

A unit rate compares a quantity to one unit of measure.

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Two particles travel along the space curves r1(t) = t, t2, t3 r2(t) = 1 + 2t, 1 + 6t, 1 + 14t . Find the points at which their p
GuDViN [60]

Answer:

A) points at which paths intersect : (1,1,1) ; (2,4,8)

B) DNE

Step-by-step explanation:

A) To find the points in which the particle paths intersect, it is necessary to find the values of t for which the three components of both vectors are equal:

t_1=1+2t_2\\\\t_1^2=1+6t_2\\\\t_1^3=1+14t_2

you replace t1 from the first equation in the second equation:

(1+2t_2)^2=1+6t_2\\\\1+4t_2+4t_2^2=1+6t_2\\\\4t_2^2-2t_2=0\\\\t_2(2t_2-1)=0\\\\t_2=0\\\\t_2=\frac{1}{2}

Then, for t2 = 0 and t2=1/2 you obtain for t1:

t_1=1+2(0)=1\\\\t_1=1+2(\frac{1}{2})=2

Hence, for t1=1 and t2=0 the paths intersect. Furthermore, for t1=2 and t2=1/2 the paths also intersect.

The points at which the paths  intersect are:

r_1(1)=(1,1,1)=r_2(0)=(1,1,1)\\\\r_1(2)=(2,4,8)=r_2(\frac{1}{2})=(2,4,8)

B) You have the following two trajectories of two independent particles:

r_1(t)=(t,t^2,t^3)\\\\r_2(t)=(1+2t,1+6t,1+14t)

To find the time in which the particles collide, it is necessary that both particles are in the same position on the same time. That is, each component of the vectors must coincide:

t=1+2t\\\\t^2=1+6t\\\\t^3=1+14t

From the first equation you have:

t=1+2t\\\\t=-1

This values does not have a physical meaning, then, the particle do not collide

answer: DNE

5 0
3 years ago
What quadratic function f whose only zero is -6
Mrrafil [7]

Answer:

y=(x+6)^2

Step-by-step explanation:

Bc, the root has to be only -6

there fore x=-6

4 0
2 years ago
5• (4 • x ) simplified
Olegator [25]

Step-by-step explanation:

= 5 • ( 4• x )

= 5 ( 4x )

= 20x

...

8 0
2 years ago
Can someone please help me :)
tensa zangetsu [6.8K]
Since 93p+84=85
subtract 84 from both sides
93p=1
p=(1/93)
8 0
3 years ago
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A drawing of the Eiffel Tower in Paris used the scale of 2 cm = 5 m. If the height of the tower in the drawing measures 120.4 cm
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301 meters

Since 2cm=5m you would have to divide 120.4 by 2 to get 60.2 and times it by 5 to get 301
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2 years ago
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