Practice & Problem Solving C 8. 8. Leveled Practice Find the rational approximation of V15. a. Approximate using perfect squares.

please help, I need answers asap due tonight ​

Practice & Problem Solving C 8. 8. Leveled Practice Find The Rational Approximation Of V15. A. Approximate

Answers

Answer 1

The approximation for the square root of 15 is given as follows:

9 < 15 < 16.3 < sqrt(15) < 4.

How to approximate a square root by perfect squares approximation?

To approximate the square root of a number x by perfect square approximation, we have to find two numbers:

The greatest integer less than x that is a perfect square, which we call a.The smallest integer greater than x that are perfect squares, which we call b.

Then, the square root of x will be on a compound interval between a and b.

For this problem, we have that:

3² = 9.4² = 16.

Hence, the approximation for the square root of 15 is given as follows:

9 < 15 < 16.3 < sqrt(15) < 4.

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Related Questions

five less than twice a number is 7 algebraic expression​

Answers

2X-5=7

solved algebraically, X=6

________ is a statistical measure of how much scores in a sample vary around the mean. multiple choice normal distribution standard deviation frequency accuracy

Answers

Standard deviation is a statistical measure of how much scores in a sample vary around the mean. The correct option is B.

What is the standard deviation?

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.

Therefore, the standard deviation is a statistical measure of how much scores in a sample vary around the mean. The correct option is B.

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rewrite the following statements less formally, without using variables. determine, as best as you can, whether the statements are true or false

Answers

All of the statements are True when the expressions are evaluated using appropriate illustrations.

What are Real numbers?Real numbers are made up of both rational and irrational numbers. Real numbers include integers (-2, 0, 1), fractions (1/2, 2.5), and irrational numbers such as 3, (22/7), and so on.

STATEMENT: 1

Real numbers have both rational and irrational values and can thus be manipulated using arithmetic operators like addition.

As a result, the statement is correct.

[tex]1+\frac{1}{2}=1 \frac{1}{2}[/tex]


STATEMENT: 2

Real numbers can be expressed or raised to the power of another number in a variety of ways, including being squared.

2² = 4; (1/3)² = 1/9

STATEMENT: 3

All positive integers have a squared value that is greater than or equal to the value.

n = 2; n² = 2² = 44 > 2

STATEMENT: 4

A sum's absolute value is always less than or equal to the sum of two numbers' absolute values.

a = 3 ; b = - 4|a + b | = |3-4| ≤ |-3|+|4||-1| ≤ 3 + 4-1 ≤ 7

Therefore, all of the statements are True when the expressions are evaluated using appropriate illustrations.

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The complete question is given below:
Rewrite the following statements less formally, without using variables. Determine, as best as you can, whether the statements are true or false.

a. There are real numbers u and v with the property that u+v b. There is a real number x such that x2 c. For all positive integers n,n2≥n.

d. For all real numbers a and b,|a+b|≤|a|+|b|

Which scales of data measurement are associated with quantitative data? interval and ratio ratio and nominal ordinal and interval nominal and ordinal

Answers

Interval and ratio scales of data measurement are associated with quantitative data.

Data measurement:- Data measurement is the way in which data can be subcategorized to analyze the data properly. Data can be classified into two types-

Quantitative data:- The data, which can be measured with numbers is called as quantitative data. Ex: duration, speed etc. This kind of data can be again subcategorized into two types-Discrete:- The data, which is of whole number, that can't be broken. Ex: a number of items.Continuous:- The data, which can be broken. Ex: height, weight etc. This type of data can be measured using interval and ratio measurement scales.Qualitative data:- The data, which is non-numerical value and categorical is called as qualitative data. Ex: yes, no responses or eye color etc. This type of data can be measured using nominal and ordinal measurement scales.

Thus we can conclude that, Interval and ratio scales of data measurement are associated with quantitative data.

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a fishing boat accidentally spills 15 barrels of diesel oil into the ocean. each barrel contains 42 gallons. if the oil film on the ocean is 2.5×102nm thick, how many square meters will the oil slick cover?

Answers

The square meters of the area the oil slick will cover is 9.6 × 10⁶ m².

What is meant by volume?

Volume is defined as the amount of three-dimensional space enclosed by a closed surface.

The liter (L) is the metric system's base volume unit, with several extended volume units also available. There are also many metric volume units based on the a cubic length dimension, including such cubic meters or cubic centimeters. Gallons and ounces are examples of imperial volume units.

Now, as per the given question;

First, we determine the entire volume of oil in gallons by multiplying the volume per barrel even by total number of barrels:

15×42 gal = 630 gal

This volume must be converted to square meters:

V = 630 gal × (0.00379 m³/ gal

V = 2.4 m³

The thickness (height) of a oil film in meters is required:

h = 250 nm × (m/10⁻⁹nm)

h = 2.5 × 10⁻⁷m

The surface area of a oil film is calculated by dividing the oil volume by height of the oil film.

A  = V/h

A  = 2.4 m³/2.5 × 10⁻⁷m

A = 9.6 × 10⁶ m²

Therefore, the area of the oil slick cover is found to be 9.6 × 10⁶ m².

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please help me with this problem

Answers

Answer:

The equivalent fraction of 6/9 is 4/6

The answer is 9!
Explanation:
9 divided by 6 = 1.5
6 x 1.5 = 9

Use what you know about addition and subtraction of polynomials to find the missing term represented by the question mark in each equation. (â€""4x2 6x 3) (8x 5 ?) = 2x2 14x 8 ? = (â€""b3 3b2 8) â€"" (? â€"" 5b2 â€"" 9) = 5b3 8b2 17 ? =

Answers

According to the given statement the value for:

A. = 6x²

B. = 6x³

What do you mean by Polynomials?

An expression that only uses the same operations of addition, subtraction, multiplication, and non-negative integer exponentiation of factors is said to be a polynomial. It consists of indeterminates and coefficients. x²+4x + 7 is an illustration of a polynomial of one uncertain x.

According to the given data:

Polynomials are added by combining like terms.

We can see that adding 6 and 8 together yields 14, and adding 3 and 5 together yields 8.

We also understand that adding something to -4x² yields 2x². We deduct to obtain the value that is missing:

2x²-(-4x²) = 2x²+4x² = 6x².

Similarly for the second equation on solving we get:

Polynomials are added by combining like terms.

We also understand that adding something to -b³ yields 5b³. We deduct to obtain the value that is missing:

5b³-(-b³) = 5b³+ b³ =  6x³.

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I understand that the question you are looking for is:

Use what you know about addition and subtraction of polynomials to find the missing term represented

by the question mark in each equation.

(-4x² + 6x + 3) + (8x + 5 + ?) = 2x² + 14x + 8

? =

(-b³ + 3b2 + 8) – (? - 562 - 9) = 5b³ + 8b2 + 17

? =

Write an expression that computes the difference of the variables ending_time and starting_time .

Answers

ending_time - starting_time is expression that computes the difference of the variables ending_time and starting_time.

What does a variable schedule mean?

There is an alternative to the standard 8-hour workday, five days a week work schedule: a variable work hours program. It is a program that provides staff members more freedom and control over their time, both at work and at home.

What is an example of variable schedule?

A variable-ratio schedule is a partial reinforcement schedule used in operant conditioning when a response is reinforced after a variable number of responses. Using this plan, a constant, high rate of reaction is produced. Games of chance and lotteries are two excellent examples of rewards with variable-ratio schedules.

An expression that computes the difference of the variables ending_time and starting_time  = ending_time - starting_time

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The solution to a system of equations is (2,-4).one equation in the system is 2x+y=0.explain how you can find a second equation for the system.then find a second equation.solve by system of equations to justify your answer

Answers

The second equation is 3x + y = 2.

Let the other equation be of the form ax + by = c, where a, b and c are constants.

Given equation is 2x + y = 0

We have, a₁ = 2 and a₂ = 1

And b₁ = a and b₂ = b

Since, both equations have a unique solution,

∴ a₁ ÷ b₁ ≠ a₂ ÷ b₂

2 ÷ a ≠ 1 ÷ b

2b ≠ a                                               … (1)

                         

Also, (2, -4) is the solution of the equations, so it will satisfy the equations

2a - 4b = c

b = (2a - c)/4

Let c=2

b = (2a - 2) ÷ 4

b = 1

Now we can take any value for a and b which satisfy eq.(1)

Let a=3

b = (2(3) - 2) ÷ 4

b = 1

Thus, a = 3 and b=1 satisfy eq.(1)

Hence the second equation is 3x + y = 2

The equations are justified by keeping the values -

2x+y=0                               ... (2)

3x+y=2                             ... (3)

From eq.(2),

y=-2x

Putting value of y in eq. (3), we get,

3x+(-2x)=2

3x-2x=2

x=2

Now, putting x=2 in eq.(2)

2(2)+y=0

y=-4

Hence, the solution is justified.

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When the same number is added to the numerator and denominator of 5/7, the result is 17/23. what is that number?

Answers

The number added to the numerator and the denominator is 2/3.

It is given in the question that when the same number is added to the numerator and denominator of fraction 5/7, the result is 17/23.

We have to find the number added to the numerator and the denominator.

Let the number be x.

Hence, according to the data given in the question, we get,

(5 + x)/(7 + x) = 17/23

By cross - multiplication, we get

23(5 + x) = 17 (7 + x)

Opening the bracket according to the distributive property of addition and multiplication, we get,

115 + 23x = 119 + 17x

23x - 17x = 119 - 115

6x = 4

x = 4/6

x = 2/3

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If A, B, C, and D are collinear, then
they lie in the same plane. A, B, C,
and D lie in the same plane.

If BD bisects ABC, then D lies in
the interior of ABC. D lies in the
interior of ABC.

Answers

The hypothesis of both statements are false.

How to Interpret Collinear Points?

1) Collinear points are the points that lie on the same straight line or in a single line. If two or more than two points lie on a line close to or far from each other, then they are said to be collinear,

Thus, if A, B, C, and D are collinear, then they cannot lie in the same plane.

Thus, the hypothesis is not true.

2) When we bisect an angle, it is possible that one of the endpoints of the line may be outside the interior of the bisected angle. Thus, the hypothesis is Not true.

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Point L is on line segment KM. Given KL
length KM.
=
15 and LM = 3, determine the

Answers

Step-by-step explanation:

ano po ? pwede e bou nyo yong Tanong

Factor completely:
4x2−144
A
4(x2−36)
B
4(x+6)(x−6)
C
(2x−12)(2x+12)
D
(x+12)(4x−12)

Answers

Answer:

C

Step-by-step explanation:

(2x - 12)(2x + 12)

4x² + 24x - 24x - 144

4x² - 144

nina goes to the neighborhood store to buy 14 rolls of paper towels. if she pays $20.02 in all for the purchase, how much does one roll of paper towels cost?

Answers

Answer:

$1.43

Step-by-step explanation:

To find how much one roll of paper towels cost, we have to divide the total purchase ($20.02) by the number of paper towel rolls (14).

20.02 ÷ 14

= $1.43

One paper towel roll costs $1.43

Have a lovely rest of your day! :)

(100) points and branlyist PLS HELP


Ryan collects rainwater in a barrel for his garden. The barrel is filled with 18 gallons of water. Ryan used 9.7 gallons to water his garden in June and 3 and one eighth gallons in July. How much water is left in the barrel?

24.575 gallons
5.175 gallons
3.168 gallons
3.125 gallons

Answers

Answer: 5.175

Step-by-step explanation: 18 - 9.7 - 3 1/8 = 5.175

Please help solve this equation. -3(5w-3y-2)

Answers

Answer:

-15w+9y+6

Step-by-step explanation:

I think that you are asking to simplify the expression.  An equation has an equal sign and I do not see one.

We need to distribute the -3 to everything inside of the parentheses.  

A negative times a negative is a positive.

A negative times a positive is a negative.

-3(5w-3y-2)

-3(5w) -3(-3y) -3(-2)

-15w + 9y + 6

Hi!

To simplify this, use the Distributive Property:

[tex]\tt{a(b+c)=ab+ac}[/tex] | Basically, we distribute a so that it gets multiplied by b and c.

Now, let's simplify the given expression:

[tex]\dashrightarrow\sf{-3(5w-2y-2)}[/tex]

Like the property said, We should distribute -3 so that it's multiplied by each term:

[tex]\bullet\dashrightarrow\sf{-15w+9y+6}[/tex]

Therefore,

[tex]\bullet\dashrightarrow\stackrel{\heartsuit}{\boxed{\boxed{\boldsymbol{-15w+9y+6}}}}}\dashleftarrow\bullet[/tex]

Good luck.

- stargazing :')

how is everyone?

10+2x3=??

Answers

Answer:16

Step-by-step explanation:

2x3+10

Answer:

The answer is 60

Step-by-step explanation:

10+2= 20

20x3=60

5X to the second power times 2X to the fifth power

Answers

Answer:

10xto the power of 7

Step-by-step explanation:

Multiply x2x2 by x5x5 by adding the exponents.Tap for fewer steps...Move x5x5.5⋅2(x5x2)5⋅2(x5x2)Use the power rule aman=am+naman=am+n to combine exponents.5⋅2x5+25⋅2x5+2Add 55 and 22.5⋅2x75⋅2x7Multiply 55 by 22.10x710x7

Helpppp...
[tex]{e}^{x} = {2e}^{ - x} [/tex]
Pls gv explaination to the solution ​

Answers

Express with positive exponent

e^x=2* (1/e^x)

Calculate

e^x=2/e^x

Multiple on both sides by e^x

e^2x= 2

Use the natural log of both sides

2x=ln(2)

Divide by 2 on both sides

X= 1/2*ln(2)

14
Starting with the number 0 and counting left
to right,
0
35
5
40
10
45
Date:
15 20 25 30
50
55
60
65
write the first number
write the fourth number
write the ninth number

Answers

Answer:

first number: 0

fourth number: 15

ninth number: 40

Marcus is throwing a party, he is expecting 150 guests at the party. the cost per person for food is $30 dollars. how much money does marcus need to pay for food?

Answers

Answer: 4500

Step-by-step explanation:

Please help due in less than an hour

Answers

Answer: 1: (0,-5) 2: (0.5,1) 3: (1.5, -4.5) 4: (-2.5,-0.5)

Step-by-step explanation:

Error Analysis ( PLS I NEED THIS ANSWERD TODAY! :(


Mr.Gonzales has only $42.50 to spend at a clothing store. He wants to buy a shirt that costs $29, including tax, and some bracelets that cost $4.50 each, including tax. Write an equation to determine x, the maximum number of bracelets Mr.Gonzales could buy. Solve the equation to determine the number of bracelets Mr.Gonzales could buy.


Show your work.



42.50 - 29= 13.5

13.5÷4.50=3


Answer: 3




Solve the problem correctly.


Explain, in complete sentences, the error(s) made. In your explanation, make sure to include how you can fix there error(s), how you could have checked that the answer was incorrect, and diagram/drawing yo explain your thinking.

Answers

The maximum number of bracelets Mr.Gonzales could buy is 3

How to write an equation to determine x, the maximum number of bracelets Mr.Gonzales could buy

The given parameters are:

Budget = $42.50

Shirt = $29

Bracelet = $4.50 each

Represent the number of bracelets with x

So, we have

Shirt + Bracelet * x = Budget

This gives

29 + 4.50x = 42.50

Evaluate the like terms

4.50x = 13.5

Divide both sides b 4.50

x = 3

Hence, the maximum number of bracelets Mr.Gonzales could buy is 3

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pls help. stuck on problem

Answers

Answer: x = 7 ft, DO = 25 ft, OG = 35 ft

Step-by-step explanation:

        We will write an equation using the segment addition postulate.

Given by segment addition postulate:

   DO + OG = DG

Substitute known values:

   (4x - 3) ft + (2x + 21) ft = 60 ft

Combine like terms and simplify:

   6x + 18 ft  = 60 ft

Subtract 18 ft from both sides of the equation:

   6x  = 42 ft

Divide both sides of the equation by 6:

   x = 7 ft

        Now, we will "plug" this value in and solve for the segments.

DO ➜ (4x - 3)ft ➜ (4(7) - 3) ft ➜ 28 - 3ft = 25 ft

OG ➜ (2x + 21) ➜ (2(7) + 21) ft ➜ 14 + 21 = 35 ft

Keisha cuts a triangle from a rectangular strip of cloth. What type of triangle did Keisha cut?

A. Scalene,Right
B. Scalene, Acute
C. Isosceles, Right
C. Isosceles, Acute

Answers

Answer: i think its d

Step-by-step explanation:

What property is (3+2) x 4 = 4 x (3+2)

Answers

Answer:

Commutative Property of Multiplication

Step-by-step explanation:

Hello!

(3+2) and 4 are factors of the multiplication equation. Flipping them around would still give the same answer.

This is the Commutative Property, specifically the Commutative Property of Multiplication.

the property is distribution bc of the parentheses

Помогите пожалуйста!!
Задумали чесло умножили его на 5 из результата вычли 12 и получили 38. Какое число задумали?
Решить с помощью уровнения
Помогите пожалуйста!!

Answers

Answer:

good question it is very hard question

How do I find the value of x that make lines u and v parallel

Answers

Answer:  x = 10

=======================================================

Explanation:

The square marker in the top left corner tells us we have a 90 degree angle. The 8x+10 must also be 90 degrees for lines u and v to be parallel. Refer to the alternate exterior angle theorem. Ignore the diagonal lines. Your teacher likely put them there as a distraction.

8x+10 = 90

8x = 90-10

8x = 80

x = 80/8

x = 10

Which function would you use to locate the index of the first character of the first occurence of a substring within another string?

Answers

You would use the CHARINDEX string function to locate the index of the first character of the first occurrence of a substring within another string.

What is the CHARINDEX function?

The CHARINDEX() function is defined as returning the substring's location within the given string. Like the SUBSTRING function, it operates in reverse.

⇒ Syntax of CHARINDEX() function is CHARINDEX (substring, input_string)

Substring: Here, we specify the substring within the input string that we wish to look for. A maximum of 8000 characters may be used in this argument.

Input_string: The input string is defined in this argument.

Therefore, You would use the CHARINDEX string function to locate the index of the first character of the first occurrence of a substring within another string.

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I bought 2 books. One cost twice as much as the other. Together they cost £3.45.
How much did the dearer book cost?

Answers

We can express this as:

x + 2x = £3.45

We can solve for x with no additional work.

x + 2x = £3.45
3x = £3.45
3x/3 = £3.45/3
x = £1.15

Im guessing you're British by the use of the £ symbol, and I don't understand what "dearer" means as in America we don't use that term. I'll just give you both values.

x = £1.15 (this is the first book)
2x = £2.30 (this is the second book, which costs twice as much as the first.)

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