STANDARD NOTATIONSCIENTIFIC NOTATION
1) 76,450,000
7.645 x 10
2) 0.000327
3.27 x 104
3) 34,000
3.4 x 104
4) 116,000,000,000
1.16 x 109
<
5) 0.024
24 x 10-2
6) 2,800
2.8 x 103
7) 100
1 x 103
8) 0.0000099
9.9 x 10-6
9) 900,000
9 x 10-5
10) 0.00633
63.3 x 10-3
STANDARD NOTATION SCIENTIFIC NOTATION 1) 76,450,000 7.645 x 10 2) - 1

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

1. 7.645 x 10^7

2. 3.27 x 10^-4

3. 3.4 x 10^4

4. 1.16 x 10^11

5. 2.4 x 10^-2

6. 2.8 x 10^3

8. 9.9 x 10^-6

9. 9 x 10^5

10. 6.33 x 10^-3

7. 1 x 10^2

Answer 2
Answer:

Final answer:

The listed conversions between standard and scientific notation are mostly correct, with corrections provided for the representations of 900,000 and 100. Scientific notation involves expressing numbers as a decimal between 1 and 10 multiplied by a power of 10.

Explanation:

The conversions between standard notation and scientific notation provided here mostly appear to be correct, however, there are a few errors:

9) 900,000 in scientific notation would be 9 x 105, not 9 x 10-5.

7) 100 in scientific notation would be 1 x 102, not 1 x 103.

Standard notation is a straightforward representation of numbers. Scientific notation, on the other hand, is a method of writing or displaying numbers in terms of a decimal number between 1 and 10, multiplied by a power of 10.

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Find the value of y when x equals -11, 5x+6y=-37

Answers

5(-11)+6y=-37
-55+6y=-37
6y=18
y=3

A pilot can travel 450 miles with the wind in the same amount of time as 360 miles against the wind. Find the speed of the wind if the​ pilot's speed in still air is 315 miles per hour.

Answers

Given:

A pilot can travel 450 miles with the wind in the same amount of time as 360 miles against the wind.

Pilot's speed in still air is 315 miles per hour.

To find:

The speed of the wind.

Solution:

Let the speed of wind be x miles per hour.

Speed with wind = 315+x miles per hour

Speed against wind = 315-x miles per hour

We know that,

Time=(Distance)/(Speed)

According to the question,

(450)/(315+x)=(360)/(315-x)

Divide both sides by 90.

(5)/(315+x)=(4)/(315-x)

By cross multiplication, we get

5(315-x)=4(315+x)

5(315)-5x=4(315)+4x

5(315)-4(315)=4x+5x

(5-4)315=9x

Divide both sides by 9.

((1)315)/(9)=x

35=x

Therefore, the speed of wind is 35 miles per hour.

Final answer:

The speed of the wind is calculated using uniform motion equations for when the pilot is traveling with the wind and against the wind is w = 45 mph,

Explanation:

This is a problem that involves uniform motion, often taught in high school algebra. Let's denote the speed of the wind as w. Since the time it takes for the pilot to travel 450 miles with the wind is the same as the time it takes for them to travel 360 miles against the wind, we can establish two equations which both equal to time (distance/speed).

With the wind: 450/(315+w) = time

Against the wind: 360/(315-w) = time

As both sides equal to 'time', we can equate them together:

450/(315+w) = 360/(315-w)

Solving this equation, we find that w = 45 mph, which is the speed of the wind.

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What is the solution to the linear equation?

Answers

The answer is p=1

First you have to subtract 2/5 on both sides to get p=2/5x+3/5p.

Then subtract 3/5p on both sides to get 2/5p=2/5.

Then you divide by 2/5 on both sides to isolate p and you get 1 :)

Mr Jones places 3 orders for school t-shirts. Each order has 16 boxes of shirts and each box holds 17 shirts. How many T-shirts dos Mr Jones order. Use partial products to help you

Answers

3x16=180 boxes

17x16=272 shirts (17 shirts per boxes, 16 boxes)


the answer is 272 shirts

Answer:

272 shirts

Step-by-step explanation:

Frank the lumberjack has a log that is 291 centimetres long. He cuts it into three pieces. Work out the length of the third piece if the first two pieces are 67cm and 181cm long.

Answers

Answer:

43cm

Step-by-step explanation:

Given

Length of Log = 291cm

First Piece = 67cm

Second Piece = 181cm

Required

Determine the length of the third piece

Given that the log was cut into three;

this implies that;

Length of Log = First Piece + Second Piece + Third Piece

Substitute values for first piece, second piece and length of log;

291 = 67 + 181 + Third\ Piece

291 = 248 + Third\ Piece

Subtract both sides by 248

291 - 248 = 248 - 248 + Third\ Piece

43 = Third\ Piece

Third\ Piece = 43

Hence, the length of the third piece is 43cm

Find the missing side of the triangle. Round to nearest tenth if needed.

Answers

Answer:

6.7

Step-by-step explanation:

6.7 because 3.4 is way to small 7.9 would be close but not the  right length and 8.5 is way too long to be on the bottom.

Hope this help stay home stay safe.

Have a great day :) :) :) :)