9514 1404 393
Answer:
√40 ≈ 6 4/13 ≈ 6.31
Step-by-step explanation:
The estimate by linear approximation starts with the recognition that ...
40 = 36 +4 = 6² +4
and the difference from 36 to the next square, 7² = 49 is 49-36 = 13.
The linear approximation to √40 is ...
√40 ≈ 6 4/13 ≈ 6.31
__
There are various methods for improving this approximation. Perhaps the fastest improvement is obtained using the "Babylonian method." The next iteration is the average of this value and 40 divided by this value.
(82/13 +40/(82/13))/2 = 6 173/533 ≈ 6.3246 . . . . accurate to 4 decimal places
_____
Additional comment
When you write the value in terms of a square and a remainder:
n = s² +r
then the above linear approximation of √n can be written as ...
√n ≈ s +r/(2s+1)
Using the idea that a square root can always be represented by a continued fraction, we can continue the fraction one more iteration to give a slightly better approximation:
√n ≈ s +r(2s+1)/(2s(2s+1) +r)
For the case at hand, this gives √40 ≈ 6+52/160 = 6 13/40 = 6.325, accurate to 3 decimal places. Additional iterations using the continued fraction idea can be had using ...
n'' = s + r/(s +n') . . . . . where n' is an approximation of the root and n'' is a better approximation. This does not converge as fast as the Babylonian method, but may be easier to calculate on some calculators.
5y x 6y= you can get 40 points
Answer:
5y × 6y = 30y^2
Step-by-step explanation:
All you're doing is multiplying the coefficients 5 and 6, to get 30, and any variable multiplied by another variable will give you that variable, squared.
Friendly fun fact: When you give points, we are only earning half of that. (Just thought you'd like to know.)
Hope this helped :)
Rational algebraic expression
x²-16/x²+8x+16
(x - 4)/(x + 4)
Step-by-step explanation:
[tex]\begin{aligned}\tt\frac{x^2-16}{x^2+8x+16}&=\tt\frac{x^2-4^2}{\left(x+4\right)^2}\\&=\tt\frac{\left(x+4\right)\left(x-4\right)}{\left(x+4\right)^2}\\&=\tt\frac{x-4}{x+4}\end{aligned}[/tex]
Note :
a² - b² = (a + b)(a - b)(a + b)² = a² + 2ab + b²Can someone help……….
Problem #7: If a die is rolled one time, find the probability of getting a 5 or an even number.
This is worth 30 points I need help ASAP PLEASE PLEASE HELP!!
Answer:
c
Step-by-step explanation:
smart boi
Step-by-step explanation:
A = (3, 6)
B = (6, 9)
C = (9, 3)
first scaled down (dilated) by the factor of 1/3 in the direction of the origin = point (0, 0).
then moved left by 2 units and down by 3 units.
the dilation about the origin simply multiplies each coordinate by the scale factor.
Ad = (3×1/3, 6×1/3) = (1, 2)
Bd = (6×1/3, 9×1/3) = (2, 3)
Cd = (9×1/3, 3×1/3) = (3, 1)
to move 2 units to the left means to subtract 2 from the x coordinates.
to move 3 units down means to subtract 3 from the y coordinates.
A' = (1-2, 2-3) = (-1, -1)
B' = (2-2, 3-3) = (0, 0)
C' = (3-2, 1-3) = (1, -2)
therefore, B is the right answer option.
An online school with 125 classes has a student enrollment of 2,500 students. Which rate represents the relationship between the student enrollment and the number of classes? 12 classes per student 20 classes per student 20 students per class 30 students per class
Answer 20 classes per student
Step-by-step explanation:
Evaluate the expression.
Step-by-step explanation:
[tex]{ \huge{ \{}}{ \rm{ [(30 - 60) \div ( - 30)] {}^{2} - 15{ \huge{ \}}} \div ( - 7) }} \\ \\ \dashrightarrow \: { \huge{ \{}}{ \rm{[( - 30) \div ( - 30)] {}^{2}{ \huge{ \}}} \div ( - 7) }} \\ \\ \dashrightarrow \: { \huge{ \{}}{ \rm{[1] {}^{2} { \huge{ \}}} \div ( - 7)}} \\ \\ \dashrightarrow \: { \rm{1 \div ( - 7)}} \\ \\ { \boxed{ \boxed{ \rm{ \: - \frac{1}{7} \: \: }}}}[/tex]
please mark this answer as brainlist
solve
anglessssssssssssssssssssssssssssssssssssssssssssss
Answer:
x = 12
Step-by-step explanation:
why does -4i*i=4? what happens to the i when you multiply it
[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]
As we know that :
[tex] {i}^{2} = i \times i = - 1[/tex]so, over here
[tex] - 4i \times i[/tex][tex] - 4 {i}^{2} [/tex]plugging the value of i² as -1
[tex] - 4 (- 1)[/tex][tex]4[/tex]which relation is the function?
Answer:
A is function.
Step-by-step explanation:
You’re recording inventory after a big weekend sale in the travel section of a department store. There are 20 remaining suitcases, of which 16 will be further marked down. True or False: The fraction 2016
20
16
is in the simplest form.
Answer:
false
Step-by-step explanation:
Given that the remaining suitcases is 20
And 16 of the remainig suitcases will be further marked down, then the simplest form will be;
16/20.
2/3 times 21 in simplest form
Answer: 14
Step-by-step explanation:
you would write 2/3 X 21/1 and you would multiply 21 X 2 which is 42 divide that by 3 and you get 14
2. Read "Lisa's Garden" and answer the question.
Lisa needs to determine the perimeter of her garden so she will know
how much fence she will need to build. What is the perimeter of Lisa's
garden in feet (ft)?
A
30 ft
B
38 ft
C.
120 ft
D
608 ft
{[(30−60)÷(−30)]2−15}÷(−7) help, please
The value of the numerical expression {[(30 − 60) ÷ (−30)]² − 15} ÷ (−7) will be 2.
What is the value of the expression?When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.
The expression is given below.
⇒ {[(30 − 60) ÷ (−30)]² − 15} ÷ (−7)
Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction are all part of the PEMDAS formula. To answer the problem properly and accurately, this rule must be followed.
⇒ {[(30 − 60) ÷ (−30)]² − 15} ÷ (−7)
⇒ {[(−30) ÷ (−30)]² − 15} ÷ (−7)
⇒ {[1]² − 15} ÷ (−7)
⇒ {1 − 15} ÷ (−7)
⇒ (−14) ÷ (−7)
⇒ 2
The value of the numerical expression {[(30 − 60) ÷ (−30)]² − 15} ÷ (−7) will be 2.
More about the value of the expression link is given below.
brainly.com/question/23671908
#SPJ5
Mr. Adkins teaches a Current Events course and is known for making his final exam very thorough. He thinks that with the technology present today,
his students should be able to stay current with all possible news. The only way to ensure yourself a good grade is to dedicate many hours reading
newspapers, watching 24 hour news outlets, and scanning the internet, and even that may not give you the desired test score. Adkins' students
kept track of the hours that they studied the week previous to the test. Here is a breakdown of the hours that they studied and the score they
received on the test.
Answer:
Part 1:
Make a scatterplot that represents this data. You may use a program such as Excel, or make the scatterplot by hand and scan it.
Part 2:
Does this data have a positive correlation, negative correlation, or no correlation?
Part 3:
Without the use of technology, find the equation of the line of best fit for the data. Tell which points that you used and show the steps you used to get the equation. Refer to the first 4 steps on page 2 of the lesson titled "Linear Regression - Line of Best Fit" to use as a guide.
Part 4:
Use the equation found in part 3 to predict the scores for two people who studied for 15 hours and 9 hours. Refer to the last step on page 2 of the lesson titled "Linear Regression - Line of Best Fit" to use as a guide.
Compile the results from parts 1 through 4 and put them in a Word document. Submit the document to your teacher.
Step-by-step explanation: help
7
Compare the fractions
3
64
8
A)
<
B)
C)
Answer:
74/8
Step-by-step explanation:
Answer:
LCM of 64 and 8 is 64
Step-by-step explanation:
-11.0 - 3.5
Need to solve by steps
Answer: -14.5
What I did was Subtract 3.5 from -11.
When you add them together, you get 14.5, but 14.5 isn't correct, as that's a very large number compared to -11.
Answer:
-14.5
Step-by-step explanation:
-11 - 3.5
Because 11 is already negative, when you subtract a number from a negative, think of -11 becoming "smaller" (smaller being -14, or -25).
When doing -11 - 3.5, think if it as adding 11 and 3.5 together !
When you add them together, you get 14.5, but 14.5 isn't correct, as that's a very large number compared to -11.
You add a negative sign to said -14.5, and that's your answer !
Subtracting from a negative is confusing, so I taught myself to think of it as adding the numbers as if they were positive and adding a negative sign !
Simplify the expression g(x) = (x + 2)(x-4)
help pls. with explanation
Answer:
the answer is infinity....
Please help this is due in ten minutes
Answer: Late 200 tho
Step-by-step explanation:
12. Jessica places 3 photos on the cover of her picture album. She places 4 photos on each of the other pages. She has
135 photos in all. How many pages will she need if she uses all of her photos?
A. 33
B. 38
C. 40
D. 28
Answer:
A 33
Step-by-step explanation:
135 - 3 = 132 photos for other pages
132/4 = 33 pages
A cinder block is sitting on a platform 20 m high. It weighs 79 kg. The block has _______ energy.
Answer:
This cinder block has gravitational potential energy.
This cinder block has 15 484 joules of potential energy
Step-by-step explanation:
PE = mass*gravity*height and g= 9.8 m/s^2
PE = 79 * 9.8 * 20
PE = 15 484
please i need help asap
Answer:
yeah f(x) = 2
Step-by-step explanation:
because there is no x and f(x) is on positive 2
Hello can some one please help me
Answer:
[tex]216[/tex]
Step-by-step explanation:
Remember that [tex]a^{b}=a*a*a*a*... b~~times[/tex].
So, [tex]6^3=6*6*6=(6*6)*6=36*6=\boxed{216}[/tex]
dan wants to pout 90.94 grams of salt into a container. so far, he has poured 39.2 grams. how much more salt should dan pour ?
Answer: its 51.74
Step-by-step explanation: I just did it
Will mark as brainlist answer fast
A noun that is referred to by a pronoun is called a(n)
Noun
Antecedent
Adjective
Pronoun
Answer:
Pronoun
A pronoun is a word used to stand for a noun
Answer:
I believe the answer is antecedent
Step-by-step explanation:
hope this helps bro
find the average rate of change of f(x)=5x^2-3 from 3 to 9
9514 1404 393
Answer:
60
Step-by-step explanation:
The average rate of change on the interval is ...
(f(9) -f(3))/(9 -3) = ((5·9² -3) -(5·3² -3))/(9 -3) = (402 -42)/6 = 60
Kelly tried to solve the following equation,
Answer:
wich question??????????????
cual
no te entiendo me puedes explicar
A retail store owner buys 300 cups from a manufacturer. The retail store owner pays a flat delivery fee of $50 in addition to $2 for each cup delivered. If a cup is scratched upon delivery, the manufacturer provides a refund of $1 per scratched cup. If the store owner pays the manufacturer $584 for the 300 cups, how many scratched cups are there?
Answer:
284 scratched cups
Step-by-step explanation:
it's in the picture
please help me :DDDDDDDD
Answer:
x+5 > 4
Step-by-step explanation:
x+5 > 4 can be changed to
-5 . -5
x>-1
that is what is shown