What is the correct order of the numbers from least to greatest. 0, -3/2, 7/3, 2.1, -2

Answers

Answer 1
Answer: It is -2, -3/2, 0, 2.1, 7/3
Answer 2
Answer:

Answer:

-3/2, -2, 0, 2.1, 7/3

Step-by-step explanation:

Please correct me if I am wrong. Thank you.


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A rectangular deck is 12 ft by 14 ft. When the length and width are increased by the same amount, the area becomes 288 sq. Ft. How much were the dimensions increased?

Answers

The dimensions increased by 4 feet.

What is the area of the rectangle?

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

Given;

Dimensions of rectangle = 12 + x and 14 + x

The area of the rectangle= (12 + x) (14 + x) = 288

x² + 26x + 168 = 288

x² + 26x - 120 = 0

(x + 30) (x - 4) = 0

x=-30, x =4

Hence, The dimensions increased by 4 feet.

Learn more about the area;

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Answer:

4 ft

Step-by-step explanation:

288=16 * 18

12+4=16

14+4=18

Martin can travel 174 miles in 3 hours. At this rate, how far can he travel in 7.

Answers

Answer:

I believe the answer is 406 miles.

Let me know of this is the correct answer

A child has $6.17 in change in her piggy bank. The change consists of 113 coins in a mix of pennies, nickels, and quarters. If there are 8 times as many nickels as pennies, how many of each coin does the child have?

Answers

Answer:there are 12 pennies, 96 nickels and 5 quarters in the piggy bank

Step-by-step explanation:

Hey! Im sorry i dont have an explenation for you i got this off of someone else ages ago

Population the populations P (in thousands) of Las Vegas Nevada from 1960 through 2009 can be modeled by p = 70.751e 0.0451t, where t is the time in years,with t = 0 corresponding to 1960.(a) Find the populations in 1960,1970,1980,1990,2000,and 2009.
(b) Explain why the change in population from 1960to 1970 is not the same as the change in population from 1980 to 1990.
(c) Use the model to estimate the population in 2020.

Answers

Answer:

the answer is below

Step-by-step explanation:

The model is:

p=70751e^(0.0451t) where t is the time in years.

a)

  • when t=0 (year 1960) p=70751e^(0.0451*0)=70751
  • when t=10 (year 1970) p=70751e^(0.0451*10)=111071
  • when t=20 (year 1980) p=70751e^(0.0451*20)=174368
  • when t=30 (year 1990) p=70751e^(0.0451*30)=273737
  • when t=40 (year 2000) p=70751e^(0.0451*40)=429734
  • when t=49 (year 2009) p=70751e^(0.0451*49)=644882

b)

The change in population from 1960to 1970 is 111071-70751 =40320

The change in population from 1980 to 1990 is 273737-174368=99369

The change from 1960to 1970 is not the same as the change from 1980 to 1990 because the model function is not linear, it is exponential. Therefore, the rate of the change is not constant.

c)

The population in 2020 using the model can be estimated as

when t=60 (year 2020) p=70751e^(0.0451*60)=1059091

Find all the two-digit numbers that decrease 12 times when the last digit is crossed out.

Answers

Answer:

Step-by-step explanation:

100pts: Convert the following expression into postfix notation: 4*(5/2^3-4)+4*(9-2)

Answers

Answer:

  4 5 2 3 ^ / 4 - × 4 9 2 - × +

Step-by-step explanation:

Start by putting a left parenthesis "(" on the operator stack, and adding a right parenthesis ")" to the end of the input expression.

Conversion algorithm

Copy any operands to the output string until an operator is encountered. Pop operators from the operator stack to the output string if they have equal or higher precedence, then put the operator encountered onto the operator stack. When a right parenthesis is encountered, pop operators from the operator stack to the output string until a left parenthesis is found. Drop that left parenthesis.

__

Given example

For the given expression, we copy 4 and 5 to the output, push / to the operator stack, copy 2 to the output, push ^ to the operator stack, and copy 3 to the output. At this point, the output is ...

  4 5 2 3

and the operator stack is

  ( * ( / ^ . . . . . top item is on the right

When we encounter the - sign, we write the ^ and / operators to the output string and push - to the operator stack. At this point, the state is ...

  output: 4 5 2 3 ^ /   operator stack: ( * ( -

Next, we copy 4 to the output. When we encounter the right parenthesis, we copy - to the output and pop the ( from the operator stack.

The next input symbol, +, is lower precedence than the remaining * on the operator stack, so we output the * and push the +. Now we have ...

  output: 4 5 2 3 ^ / 4 - *   operator stack: ( +

The output string so far completes the evaluation of the first term of the input expression.

Now, we copy out 4, push * and (, copy out 9, push -, copy out 2. The right parenthesis triggers the popping of the - to the output, and the final right parenthesis that we added at the start pops the * and + from the operator stack. Our final output is ...

  4 5 2 3 ^ / 4 - × 4 9 2 - × +

_____

The result is 14.5.

Hope This Helps!!!

Have a great day!!!