3 years ago

Write equivalent expressions for x^7 • x^-2

Mathematics

1 answer:

svet-max [94.6K]3 years ago

3 0

$x^7\times x^{-2}=x^{7-2}=x^5$

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Nathan is going to invest in an account paying an interest rate of 4.8% compounded continuously. How much would Nathan need to i

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Answer:

700

Step-by-step explanation:

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3 years ago

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Two canoes travel down a river, starting at 9:00 a.M. One canoe travels twice as fast as the other. After 4.5 hours, the canoes

Vedmedyk [2.9K]

Answer:

$v_1=3.33 \ miles/hour\\v_2=6.66 \ miles/hour$

Step-by-step explanation:

<u>Constant Speed Motion </u>

When the object travels the same distances in the same period of time, the speed is constant and is can be calculated as

$\displaystyle v=\frac{x}{t}$

where x is the distance and t is the time

There are two canoes traveling at speeds v1 and v2. One of them has twice the speed as the other. Let's say

$v_2=2v_1$

When t hours have passed, the canoes have traveled x1 and x2 respectively.

$x_1=v_1t$

$x_2=v_2t$

Since

$v_2=2v_1$

Then

$x_2=2v_1t$

The distance between them is

$X=x_2-x_1=2v_1t-v_1t$

$X=v_1t$

That distance is known and equals 11.25 miles, thus

$v_1t=15$

Solving for v1 and using t=4.5 hours

$\displaystyle v_1=\frac{15}{4.5}$

$v_1=3.33 \ miles/hour$

$v_2=2\times 3.33$

$\boxed{v_2=6.66 \ miles/hour}$

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3 years ago

Find the missing coefficient. -___________ y2 − [-5y − y(-7y − 9)] − [-y (15y + 4)] = 0

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y = 0
Hope this helps! (:

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Which one is larger 1.0 or 1.03

lilavasa [31]

Answer: 1.0 is the larger one.

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A man walk for 2hr at 6km/h.he then cycled for a certain time at 16km/h.if he traveled 36km all together for how many hours did

Klio2033 [76]

Answer:

t = 1.5 hours

Step-by-step explanation:

Given that,

A man walk for 2hr at 6 km/h.

He then cycled for a certain time at 16 km/h.

He travelled 36 km all together.

We need to find for how many hours did he cycle.

Distance walked in 2 hours = 2×6 = 12 km

Distance he cycled = 36-12 = 24 km

Let he cycled for t hours. So,

$t=\dfrac{24}{16}\\\\t=1.5\ h$

So, he cycles for 1.5 hours.

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3 years ago