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notka56 [123]
3 years ago
10

Which expression is equivalent to the given expression? (3m-4) (375)

Mathematics
1 answer:
Brilliant_brown [7]3 years ago
3 0

9514 1404 393

Answer:

  D.  81/m^7

Step-by-step explanation:

The applicable rules of exponents are ...

  (ab)^c = (a^c)(b^c)

  (a^b)^c = a^(bc)

  (a^b)(a^c) = a^(b+c)

  a^-b = 1/a^b

__

Using these, your expression simplifies to ...

  (3m^{-4})^3(3m^5)=(3^3)(3)(m^{-4\cdot3+5})=81m^{-7}=\boxed{\dfrac{81}{m^7}}

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A race car accelerates at 2 m/s2 from 12 m/s to 18 m/s. Find distance and time
Marizza181 [45]

Answer:

Distance = 45 meters

Time = 3 seconds

Step-by-step explanation:

Here, we want to calculate distance and time

To find the time, we can use one of the Newtons law of motion

V = U + at

In this question

V = final velocity = 18 m/s

U = initial velocity = 12 m/s

a = acceleration

Thus;

18 = 12 + 2(t)

18-12 = 2t

2t = 6

t = 6/2

t = 3 seconds

Mathematically we can also find the distance using one of the equation of motion;

D = ut + 1/2 at^2

D = 12(3) + 1/2 * (2) * 3^2

D = 36 + 9

D = 45 m

6 0
3 years ago
two girls went shopping and spent $334. one girls spent $16 more thent the other girl did. how much did each spend
Taya2010 [7]

I will try my best to assist you with your question ,

First we must divide the amount by 2

334/2 = 167

Now we add 16

167 + 16=183

So, the girl spent $183

Wow, she is spoiled!

Hope I helped!

Good Luck!

3 0
3 years ago
Rewrite the following equation in slope-intercept form.
ahrayia [7]
Pretty Sure it’s y=x+(-.8) haven’t done algebra in a bit. Sorry if wrong. :/
8 0
3 years ago
In the first week of​ July, a record people went to the local swimming pool. In the second​ week, fewer people went to the pool
slamgirl [31]

Answer:

10%

Step-by-step explanation:

8 0
3 years ago
dexamethasone 4 mg/1 ml is available. the MD orders 6000 mcg. how much will the nurse give? (Round to the tenth)​
aleksley [76]

Answer:

  1.5 mL

Step-by-step explanation:

The abbreviation mcg stands for "microgram," or 10^-6 grams. The abbreviation mg stands for "milligram," or 10^-3 grams. The relationship between these is ...

  1 mg = 1000 mcg

<h3>Dose</h3>

The order for 6000 mcg is an order for 6(1000 mcg) = 6(1 mg) = 6 mg. At 4 mg/mL, the quantity of dexamethasone required is ...

  (6 mg)/(4 mg/mL) = (6/4) mL = 1.5 mL

The nurse will give 1.5 milliliters of dexamethasone.

4 0
2 years ago
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