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3 years ago

Question in the photo

Mathematics

1 answer:

ivann1987 [24]3 years ago

6 0

Answer:

the exponent of x is 4

Step-by-step explanation:

The applicable rules of exponents are ...

(a^b)/(a^c) = a^(b-c)

a^-b = 1/a^b

$\dfrac{6xy^{-2}}{x^{-3}}=\dfrac{6x^{1-(-3)}}{y^2}=\dfrac{6x^4}{y^2}$

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Darrel has 36 daisies and 54 roses. He wants to put an equal number of daisies and roses into vases. What is the GREATEST number

castortr0y [4]

Answer:

18 number of daisies and 18 number of roses

Step-by-step explanation:

We are told Darrel has 36 daisies and 54 roses.

And that He wants to put an equal number of daisies and roses into vases.

To get the equal number, it means we have to find the greatest common factor of 36 and 54.

Factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36

Factors of 54 = 1, 2, 3, 6, 9, 18, 27, 54

From the factors of both 36 and 54, the greatest common factor to both of them is 18.

Thus, the GREATEST number of daisies and roses Darrel can put in each vase is 18 each

5 0

3 years ago

What is a rational number between 9.6 and 9.7

lisov135 [29]

I'm pretty sure there are no rational numbers between 9.6 and 9.7

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3 years ago

Read 2 more answers

URGENT!!!Can someone give me the answer and explanation plz

mafiozo [28]

Answer: D

Step-by-step explanation: Divide 110 and 1700 to get 15 then multiply that 15 with 110 to get 1600. I hope this helps ;)

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3 years ago

Steven bought 3 mirrors. He paid a total of $264. Which equation can be used to find the amount he paid for each mirror?

musickatia [10]

Answer:

3÷264

Step-by-step explanation:

4 0

3 years ago

rock is thrown upward with a velocity of 27 meters per second from the top of a 23 meter high cliff and it misses the cliff on t

ahrayia [7]

the rock will be at 11 meters from the ground level after 5.92 seconds

Step-by-step explanation:

The motion of the rock is a free-fall motion, since the rock is acted upon the force of gravity only. Therefore, it is a uniformly accelerated motion, so its position at time t is given by the equation:

$y=h+ut+\frac{1}{2}at^2$

where

h = 23 m is the initial height

u = 27 m/s is the initial velocity, upward

$a=g=-9.8 m/s^2$ is the acceleration of gravity, downward

t is the time

We want to find the time t at which the position of the rock is

y = 11 m

Substituting and re-arranging the equation, we find

$11=23+27t-4.9t^2\\4.9t^2-27t-12=0$

This is a second-order equation, which has solutions:

$t=\frac{27\pm \sqrt{(-27)^2-4(4.9)(-12)}}{2(4.9)}=\frac{27\pm \sqrt{964.2}}{9.8}$

$t_1 = -0.41 s$

$t_2=5.92 s$

The first solution is negative so we neglect it: therefore, the rock will be at 11 meters from the ground level after 5.92 seconds.

Learn more about free fall:

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3 years ago