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soldier1979 [14.2K]

2 years ago

14

Aja can harvest a field in 13 hours. One day her friend Khia helped her and it only took 6.24 hours. How long would it take Khia

to do it alone?

1 answer:

Semenov [28]2 years ago

6 0

I think it is 7.36 hours

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For the inverse variation function y = k/x (where x, k > 0), what happens to the value of y as the value of x increases?

Allisa [31]

As the value of x increases, y decreases.

7 0

3 years ago

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How Many Pumpkins Did Kate Sell This Weekend

gtnhenbr [62]

Answer:

60 pumpkins

Step-by-step explanation:

Saturday, she sold 6*7 pumpkins. That's 42 pumpkins.

Sunday, she sold 6*3 pumpkins. That's 18 pumpkins.

42+18=60

5 0

3 years ago

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

Find the equation of the linear function 'g' going through (20,5) and (-5,-8). Use 'u' for your input variable.

frosja888 [35]

Answer:

See below

Step-by-step explanation:

<u>Use the slope-intercept form, which will be in this case:</u>

g(u) = mu + b, where m is the slope, b is the y- intercept

<u>Find the slope:</u>

$m=(y_2-y_1)/(x_2-x_1)$
$m=(-8-5)/(-5-20)=(-13)/(-25)=13/25$

<u>Find the value of the y-intercept:</u>

$5=1/25*20+b$
$b=5-4/5=21/5$

<u>The equation is:</u>

$g(u)=\frac{13}{25} u+\frac{21}{5}$

3 0

2 years ago

Monique bought a shirt for $22.80 during a 30% off sale. How much does the shirt cost when it is not on sale?

spin [16.1K]

Answer:

29.64

Step-by-step explanation:

First we multiply 0.3 with 22.8.This will give us 6.84 which is the 30% off.Now we add 22.80 and 6.84 and we will get our answer 29.64.

4 0

2 years ago

Read 2 more answers