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musickatia [10]
3 years ago
6

I have to simplify this expression but I don't know​

Mathematics
1 answer:
Karolina [17]3 years ago
4 0

Answer:

Eh it's very simple

Use the laws of exponents.

(2^{5}  \times 2^{ - 3})  \div (2^{3}) ^{2}

Then further simplify to

2 ^{5 - 3} \div  2^{3 \times 2}

Then it becomes

2^{2}  \div 2^{6}

Final answer is

2^{2}  \div 2 ^{6}  = 2^{ - 4}

Heres the answer, hope it helped.

Don't forget to give thanks. :)

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A Toyota Prius and a Dodge Circuit leave an intersection at the same time. The Prius heads east at an average speed of 50 miles
zhenek [66]

Answer:

33.634 ; 134.536 ; d = √[(50t)² + (45t)²]

Step-by-step explanation:

Given the following :

Toyota Prius = East at 50mph

Dodge Circuit = South at 45mph

Distance apart after 30 minutes :

Distance = speed * time

Distance moved by Prius = ( 50mph × 0.5hr) = 25 miles

Distance moved by Circuit = ( 45mph × 0.5hr) = 22.5 miles

Hence Displacement after 30 minutes :

d = √(25² + 22.5²)

d = √625 + 506.25

d = √1131.25

d = 33.634 miles

Distance apart after 2 hours :

Distance = speed * time

Distance moved by Prius = ( 50mph × 2hr) = 100 miles

Distance moved by Circuit = ( 45mph × 2hr) = 90 miles

Hence Displacement after 2 hours :

d = √(100² + 90²)

d = √10000 + 8100

d = √18100

d = 134.536 miles

Distance d in miles after t hours :

d = √[(50t)² + (45t)²]

8 0
4 years ago
Find the area of a regular decagon with radius 4 cm
emmasim [6.3K]

The area is 123.1073415 cm
5 0
3 years ago
Read 2 more answers
Find the distance between (5, 3) and (1, 3).
Dafna11 [192]

Answer: 4 units

Step-by-step explanation:

(5-1,3-3)=(4,0)==> 4 units

7 0
2 years ago
A city receives an average rainfall of 16.99 centimeters in August one year during the month of August 15th then it rained anoth
AveGali [126]

Answer:

See explanation above

Step-by-step explanation:

This problem is very similar to one I solved a few moments ago. First we need to know how much it rain during the month of august the first 15 days of august. We only know how much it rain from the 15th through the end of the month.

So if you want to know the total rainfall of the month, you only need to sum the amount of the rainfall from the first 15 days of august and the last days of the month.

To help you out, I will use the same data of the other problem, which was 8.33 cm for the first 15 days, and 4.65 for the last 15 days of august.

If you sum 8.33 and 4.65:

8.33 + 4.65 = 12.98 cm

This would be (theorically speaking) the total rainfall during this month. Now, if it's the same exercise that you have, then good, use this answer, but if it's not then, all you need to do is put the value for the first 15 days and do the sum with 4.65 cm to get the total.

4 0
4 years ago
There are 448 students at west over middle school. a total of 3/8 of the students participate in after-school activities. Of tho
iragen [17]

Answer:

56

Step-by-step explanation:

Hope it helped <3

7 0
3 years ago
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