MATHEMATICS HIGH SCHOOL

Which is bigger 49/54 or 8/9

Answers

Answer 1
Answer:

Answer:

49/54

Step-by-step explanation:

49/54 = 0.9074074074 ≈ 0.9

8/9 = 0.888888....

0.9 > 0.8888....

Therefore:

49/54 > 8/9

49/54 should be the bigger fraction.

Answer 2
Answer:

Answer:

49/54

Step-by-step explanation:

(49)/(54) is bigger because when brought to decimal form, it equals 0.9074... while (8)/(9) equals 0.8889

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Rhubarb is used in making pies, tarts, and sauces. If a cook makes 2 pints of rhubarb sauce, will there be at least 5 cups of sauce made?

Answers

A pint contains 2 cups. 2 pints would produce 4 cups, not 5. I do love rhubarb!

3/8 divided by 1/2 =

Answers

(3)/(8) / (1)/(2)=(3)/(8) * 2=(3)/(4 * \not2) * \not2=\boxed{(3)/(4)}

Johnny opened a savings account 3 years ago. The account earns 7% interest, compounded continuously. If the current balance is $200.00, how much did he deposit initially? Round your answer to the nearest cent.

Answers

Answer: the initial deposit is $162.1

Step-by-step explanation:

The formula for continuously compounded interest is

A = P x e (r x t)

Where

A represents the future value of the investment after t years.

P represents the present value or initial amount invested

r represents the interest rate

t represents the time in years for which the investment was made.

e is the mathematical constant approximated as 2.7183.

From the information given,

r = 7% = 7/100 = 0.07

t = 3 years

A= $200

Therefore,

200 = P x 2.7183^(0.07 x 3)

200 = P x 1.234

P = 200/1.234

P = $162.1 to the nearest cent

A store is offering a 20% discount on all sales over $50. If you purchase a shirt and a pair of jeans for $62.50, what is the amount of the discount you would receive?

Answers

If I purchase a shirt and a pair of jeans for $62.50, I would receive a $12.50 discount and the total price would now be $50.

If f'(x) = ln (x-2), then the graph of y=f(x) is decreasing if and only if a) 2b) 0c) 0d) x>1
e) x>2

Answers

This answer would be D. x>1

The range of y = sin(x) is _______. a. 0 ≤ y ≤ 1 b. -1 ≤ y ≤ 1 c. y ≤ 1 d. y ≥ 0

Answers

Answer:

\sf\nb.\ -1 \le y \le 1

Explanation:

\sf\n\textsf{For all real values of x, value of sin(x) will always be greater than or equal to -1 }\n\textsf{and less than or equal to 1.}

\textsf{Here is a graph of sine function. From the graph, it is clear that the y-value of sine}\n\textsf{is never above 1 or below -1. So the range of y = sinx is }\sf{-1\le y \le 1.}

Final answer:

The range of the sin(x) function is -1 ≤ y ≤ 1, because the output of the sin(x) function oscillates between -1 and 1 regardless of the input 'x' value.

Explanation:

The range of a function represents the set of all possible output (y) values that the function can produce. The sine function, sin(x), oscillates between -1 and 1. This is because the maximum height a sine wave can reach is 1 (at π/2 and its equivalents) and its minimal height is -1 (at 3π/2 and its equivalents). Therefore, no matter what value of 'x' you insert into the sin(x) function, the maximum and minimum values for the output 'y' is 1 and -1 respectively. Hence, the correct answer is -1 ≤ y ≤ 1.

Learn more about Range of sin(x) here:

brainly.com/question/27917523

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