What is scientific notation 14,200,000

Answers

Answer 1
Answer: The scientific notation for 14,200,00= 1.42x10^6

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What is the domain of the relation {(2, 8), (0, 8), (–1, 5), (–1, 3), (–2, 3)}?

Answers

The domain is simply all of the x values.

We have a 2, 0, -1, -1, and -2.

Get rid of duplicates, so 2, 0, -1, and -2.

We're going to want to order those, so -2, -1, 0, and 2.

And put some fancy brackets on that. {-2, -1, 0, 2}
Domain          Range
    -1                    3
     0                    5
     2                    8
     3

The domain of the relation {(2, 8), (0, 8), (-1, 5), (-1, 3), (-2, 3)} is {-1, 0, 2, 3}.

Give one example of when you would use the friendly numbers strategy to subtract.

Answers

I would say: when we want to substract numbers that are close to each other, but when the respective  digits of the number from which the second number is subtracted are lower than in the other number.


For example, when we want to substract 18 from 21. Those two numbers are very close, but if you did it digit by digit, your would run into a problem.

So instead you can collect their differences to the friendly number 20: 21 is one number away from 20, and 18 two numbers, which makes a total of 3 numbers: and 3 is the solution!

For this case, we use the strategy of friendly numbers when subtraction is something complex to do mentally.

Let's suppose that we have the following subtraction:

 117 - 83

Using friendly numbers we have:

(100 + 17) - (80 + 3)

Then, applying the associative property we have:

(100 - 80) + (17 - 3)

Doing the calculations we have:

20 + 14 = 34

Finally we have:

117 - 83 = 34

Lori rented a car for one day. The daily rental rate was $12.50 plus 25 cents per mile. The total cost of her rental was $46. How many miles did she drive that day?

Answers

134 miles is the distance she travelled

The surface area of a square pyramid is found using the formula 2003-05-05-00-00_files/i0080000.jpg, where b is the length of the base and h is the height. The surface area of a square pyramid whose base is 3 feet long is 51 2003-05-05-00-00_files/i0080001.jpg. What is the height of the pyramid, in feet?

Answers

Given:
base = 3 ft
surface area = 51 ft²
height = ?

surface area of a square pyramid = B + 1/2 nbl

n = number of triangle
b = base measure
l = slant height

51 ft² = (3ft)² + 1/2 * 4 * 3ft * l
51 ft² = 9ft² + (4*3ft / 2) l
51 ft² - 9 ft² = 12ft/2 * l
42 ft² = 6 ft * l
42 ft² / 6 ft = l
7 ft = l

height of the pyramid is 7 feet.

What is the value of y2 – x4 when y = 9 and 2 =2?

Answers

Answer:

Not sure how the question goes.

Step-by-step explanation:

2Y - 4X

2(9) - 4(2) = 18 - 8 = 10

Or

Y^2 - X^4

(9)^2 - (2)^4 = 81 - 16 = 65

y2-x4

to solve this u need to place the variables for the given value

y= 9

x=2

(9)2-(2)4

9 times 2 is 18

2 times 4 is 8

18-8=10

or if it is

y^2-x^4

9^2- (2)^4

9^2=81

2^4=16

81-16 = 65

Evaluate limit as x approaches 0 sin^2x/(1-cosx).

Answers

\lim_(x \to 0) (sin ^(2)x )/(1-cos x) = ( (0)/(0) )= \n = \lim_(x \to 0) (1-cos ^(2)x )/(1-cosx)= \n = \lim_(n \to 0) ((1+cosx)(1-cosx))/((1-cosx))= \n = \lim_(x \to 0) (1+cos x) =
= 1 + cos 0 = 1 + 1 = 2