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algol13
3 years ago
9

Plot the approximate values of and on a number line and determine which of the following statements are correct.

Mathematics
1 answer:
Vika [28.1K]3 years ago
8 0

9514 1404 393

Answer:

  • square root of 5 is approximately 1 less than square root of 10
  • square root of 10 is between 3.1 and 3.2
  • square root of 10 is less than 3.5

Step-by-step explanation:

√5 and √10 are plotted on the number line shown below.

Rounded to 1 decimal place, √5 ≈ 2.2 and √10 ≈ 3.2, so it could be said they differ by about 1 unit. The above answer choices are the ones that match the graph.

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Round 10,982 to the nearest thousand
nadezda [96]
11,000 - rounded to the nearest thousand!
4 0
2 years ago
Evaluate: -(-1) + (-7) + (2) - (-4) - (-2) A) -2 B) 0 C) 1 D) 2'
Masja [62]

Answer:

2

Step-by-step explanation:

-(-1) + (-7) + (2) - (-4) - (-2) =

= 1 + (-7) + 2 + 4 + 2

= -6 + 2 + 4 + 2

= -4 + 4 + 2

= 0 + 2

= 2

6 0
3 years ago
A rectangular storage container with an open top is to have a volume of 10 m3. the length of this base is twice the width. mater
BartSMP [9]
Refer to the diagram shown below.

The volume of the container is 10 m³, therefore
x*2x*h = 10
2x²h = 10
h = 5/x²        (1)

The base area is 2x² m².
The cost is $10 per m², therefore the cost of the base is
(2x²)*($10) = 20x²

The area of the sides is
2hx + 2(2xh) = 6hx = 6x*(5/x²) = 30/x m²
The cost is $6 per m², therefore the cost of the sides is
(30/x)*($6) = 180/x

The total cost is
C = 20x² + 180/x

The minimum cost is determined by C' = 0.
That is,
40x - 180/x² = 0
x³ = 180/40 = 4.5
x = 1.651
The second derivative of C is
C'' = 40 + 360/x³
C''(1.651) = 120 >0, so x = 1.651 m yields the minimum cost.

The total cost is
C = 20(1.651)² + 180/1.651 = $163.54

Answer: $163.54

7 0
3 years ago
Edwin got 95% of the questions right on a quiz. If there were 20 questions on the quiz, how many questions did he miss??
Fed [463]

Answer:

1 question

Step-by-step explanation:

If Edwin got a 95% of the questions right on a 20 question quiz, .95(20) is 19, meaning that he got 19 questions right. 20-19 is 1, which means he got 1 question wrong.

7 0
2 years ago
Read 2 more answers
Directions - Identify the key components, create an exponential equation, then answer the questions.
Tamiku [17]

Answer:

Directions - Identify the key components, create an exponential equation, then answer the questions.  

​Exponential Form:  y=a\cdot b^{x},\ a\ is\ the\ \textit{starting}\ \textit{value},\ b\ is\ the\ base\ (rate).\y=a⋅b  

x

, a is the starting value, b is the base (rate).  

​In a small town, the stray dog population is rapidly increasing. there are currently 15 stray dogs, and it is estimated that the population will triple every year. How many dogs will there be after 1 year? 2 years? 3 years?

​

​1) a =  15  

 4) Dogs after 1 years = 45  

 ​

​2) b =  3  

 ​5) Dogs after 2 years =   135

 

​3) Equation:    

y= 15 ×3x

 ​6) Dogs after 3 years =    

405

 

Step-by-step explanation:

8 0
3 years ago
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