Answer:
2.3
Step-by-step explanation:
In this case we are going to use the 'Babylonian Method' to get the square root of any positive number.
We must set an error for the final result. Say, smaller than 0.01. In other words we will try to find the square root value with at least 1 correct decimal places.
Step 1:
Divide the number (5.29) by 2 to get the first guess for the square root .
First guess = 5.29/2 = 2.645.
Step 2:
Divide 5.29 by the previous result. d = 5.29/2.645 = 2.
Average this value (d) with that of step 1: (2 + 2.645)/2 = 2.3225 (new guess).
Error = new guess - previous value = 2.645 - 2.3225 = 0.3225.
0.3225 > 0.01. As error > accuracy, we repeat this step again.
Step 3:
Divide 5.29 by the previous result. d = 5.29/2.3225 = 2.2777179763.
Average this value (d) with that of step 2: (2.2777179763 + 2.3225)/2 = 2.3001089882 (new guess).
Error = new guess - previous value = 2.3225 - 2.3001089882 = 0.0223910118.
0.0223910118 > 0.01. As error > accuracy, we repeat this step again.
Step 4:
Divide 5.29 by the previous result. d = 5.29/2.3001089882 = 2.299891017.
Average this value (d) with that of step 3: (2.299891017 + 2.3001089882)/2 = 2.3000000026 (new guess).
Error = new guess - previous value = 2.3001089882 - 2.3000000026 = 0.0001089856.
0.0001089856 <= 0.01. As error <= accuracy, we stop the iterations and use 2.3000000026 as the square root.
So, we can say that the square root of 5.29 is 2.3 with an error smaller than 0.01 (in fact the error is 0.0001089856). this means that the first 3 decimal places are correct. Just to compare, the returned value by using the javascript function 'Math.sqrt(5.29)' is 2.3.
Note: There are other ways to calculate square roots. This is only one of them.
Normal:
The square root of 5.29 is defined as the only positive real number such that, multiplied by itself, it is equal to 2.3.
The square root of 5.29 can be written as (5.29)1/2. So,
(5.29)1/2 = (2.3 × 2.3)1/2
(5.29)1/2 = [(2.3)2]1/2
(5.29)1/2 = (2.3)2/2
(5.29)1/2 = (2.3)1
Thus,
√5.29 = 2.3
help? with complete solution please help me please
9514 1404 393
Answer:
13 ft(a) 1 second; (b) t = 0, t = 1/2Step-by-step explanation:
1.Let w represent the length of the wire. Then the height of attachment is (w-1). The Pythagorean theorem tells us a relevant relation is ...
5² +(w -1)² = w²
w² -2w +26 = w² . . . . . . . eliminate parentheses, collect terms
26 = 2w . . . . . . . . . . . . add 2w
13 = w . . . . . . . . . . . . divide by 2
The length of the wire is 13 feet.
__
2.(a) When h = 0, the equation is ...
0 = -16t^2 +8t +8
Dividing by -8 puts this into standard form:
2t^2 -t -1 = 0
Factoring, we get ...
(2t +1)(t -1) = 0
The positive value of t that makes a factor zero is t = 1.
It will take 1 second for the gymnast to reach the ground.
__
(b) When h = 8, the equation is ...
8 = -16t^2 +8t +8
Subtract 8 and divide by 8 to get ...
0 = -2t^2 +t
0 = t(1 -2t) . . . . factor out t
Values of t that make the factors zero are ...
t = 0
t = 1/2
The gymnast will be 8 feet above the ground at the start of the dismount, and 1/2 second later.
Negative 1/3 in decimal form
Answer:
-0.3333334
Step-by-step explanation:
common sense
Answer:
-0.33
Step-by-step explanation:
Find the unit price in dollars per ounce).
A 24-ounce can of pineapple for $1.08
PLS PLS HELPME ASAP
Answer:
$0.05 per ounce
Step-by-step explanation:
To find the price in dollars per ounce, divide the price by the number of ounces.
[tex]\frac{1.08}{24}[/tex] = $0.045 per ounce = $0.05 per ounce
2. ĐỊNH THỨC
2.1. Giải phương trình:
2 3 1
1 2 4 8 0
1 3 9 27
1 4 14 64
Answer:
Step-by-step explanation:
Uhm the third one number 3
Given the vectors ⃗⃗ = 〈2, 3, 5〉, ⃗ = 〈−2, 5, 0〉, ⃗⃗ = 〈−3, 2, 7〉 calculate:
a) ⃗⃗ + ⃗ + ⃗⃗
Answer:
a
Step-by-step explanation:
If X=3+√8, find X square + 1/x square
Given :-
x = 3 + √8To find :-
x² + 1/x²Solution :-
According to Question,
x = 3 + √8 1/x = 1/3-√8 1/x = 1(3+√8)/(3+√8)(3-√8)1/x = 3+√8/3²-(√8)² 1/x = 3+√8/9-81/x = 3 + √8So that ,
x² + 1/x²(x + 1/x)² - 2( 3+√8+3-√8)²-29² - 281 - 279
Can someone help me and explain on paper , I’m still so confused
Answer:
Your answer is -5
Step-by-step explanation:
On paper;
What is the answer??? I need help fast pls
Answer:
x = 9
Step-by-step explanation:
Vertical angles are congruent ( equal to each other )
So if ∠A and ∠B are vertical angles than they are congruent ( so ∠A = ∠B )
If ∠A = 2x + 1 and ∠B = x + 10
Then 2x + 1 must equal x + 10
( note that we've just created an equation that we can use to solve for x )
We now solve for x using the equation we just created
2x + 1 = x + 10
Subtract x from both sides
x + 1 = 10
subtract 1 from both sides
x = 9
Two gasoline stations along an expressway have six gas pumps each. An experiment involves determining how many pumps are in use at a particular time for each station. Describe S by listing the elements.
The sample space is used to prepare a list of all possible outcomes or element in an experiment. The sample space containing all elements attainable for the number of working pumps at a particular station is listed below :
Number of stations = 2 Number of pumps per station = 6Let the number of pumps in use at each station be listed on the row and column respectively :
P1/P2_0 _ 1__ 2 __ 3 __ 4 __ 5 __ 6
0__ 0,0 _0,1 _0,2 _0,3 __0,4_ 0,5_0,6
1__ 1,0 __1,1 _1,2 __1,3 __1,4 __1,5_ 1,6
2__2,0 _2,1 _2,2 _2,3 __2,4 __2,5_2,6
3__3,0_3,1 _3,2 _ 3,3 __3,4 __3,5 _3,6
4__4,0_4,1 _4,2 _ 4,3 __4,4 __ 4,5 _4,6
5__5,0_5,1 _5,2 _ 5,3 __5,4 __ 5,5 _5,6
6__6,0_6,1 _6,2 _ 6,3 __6,4 __ 6,5 _6,6
Therefore, all possible outcomes relating to the number of working pumps are available in the sample space created.
Learn more :https://brainly.com/question/18405415
carlos registro la altura de una planta cada una semana y se dio cuenta que esta crecio constantemente 3 cm durante las primeras 4 semanas. cuando comenzó a realizar las mediciones lq planta media 12cm ¿ cuál es la variable dependiente y la independiente?
Answer:
yo soy inteligente
Step-by-step explanation:
pero no me se la respuesta de la perunta
Hey everyone I would greatly appreciate some help here :)
I’m doing a chapter quiz and I honestly am 99% sure this is right but since it’s a big quiz I thought it wouldn’t be bad to get a second opinion and if I’m wrong a step by step answer so I can do it properly next time ok so here is question
Jasmine opened a bank account and she deposited 84.50 dollars into her account every month for 20 months. She also used 50.50 every month to pay for dance lessons, after 20 months she used 1/49& the total money left in her account to go to camp. What is the total amount of money jasmine spent to go to the camp?
115
135
155 or
170
Now I picked 170 because I got 680 from all that and 1/4 of 680 is 170 atleast I’m 99% sure lol if I’m right just let me know but if I’m wrong please tell me how so I can do it properly next time :)
Answer:15
Step-by-step explanation:
what 21.807-10.739=?
Answer:
2.428 is the answer....
At a local pizza parlor, patrons have 3 choices of cheese and 5 choices of meat. In how many different ways can a patron choose 1 type of cheese and 1 type of meat? 10 30 o 15 0 8 o Termsat a local pizza parlor that runs has three choices of cheese and five choices of meat in how many different ways can a pageant use one type of cheese and what type of meat
Answer:15
Step-by-step explanation:
Use the factors of the function and the y-intercept to find the standard form of the equation representing Jared’s function.
Type the correct answer in the box.
This is the function.
Using the Factor Theorem, it is found that the function is given by:
[tex]f(x) = 0.0409(x^3 + x^2 - 77x - 330)[/tex]
The Factor Theorem states that a polynomial function with roots [tex]x_1, x_2, \codts, x_n[/tex] is given by:
[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]
In which a is the leading coefficient.From the graph, the zeroes are [tex]x_1 = -8, x_2 = -3, x_3 = 10[/tex], hence:
[tex]f(x) = a(x + 8)(x + 3)(x - 10)[/tex]
[tex]f(x) = a(x^2 + 11x + 33)(x - 10)[/tex]
[tex]f(x) = a(x^3 + x^2 - 77x - 330)[/tex]
From the y-intercept, that is, when [tex]x = 0, y = -13.5[/tex], we find a.
[tex]f(x) = a(x^3 + x^2 - 77x - 330)[/tex]
[tex]-330a = -13.5[/tex]
[tex]330a = 13.5[/tex]
[tex]a = \frac{13.5}{330}[/tex]
[tex]a = 0.0409[/tex]
Hence:
[tex]f(x) = 0.0409(x^3 + x^2 - 77x - 330)[/tex]
To learn more about the Factor Theorem, you can take a look at https://brainly.com/question/24380382
Answer:
first guy is wrong
Step-by-step explanation:
my teacher said it's wrong, when I find out the right answer ill put it here
A polyhedron with 16 edges cannot be a prism. Explain why this must be true
Answer:
This prism has: 5 Faces. 6 Vertices (corner points) 9 Edges.
Step-by-step explanation:
Together, Arline, Mariana, and Sue have 708 movie star cards. Arline has the most cars, and Sue has the least. The ratio of the number of cards each girl has is 5:4:3. How many movie-star cards does each girl have?
Answer:
5+4+3=12
708/12=59
59*5=295
59*4=236
59*3=177
Arline=295, Mariana=236, Sue=177
Step-by-step explanation:
6 = 2n + 10
Please help
Answer:
6 = 2n + 10
6-10=2n
-4/2=n
-2=n
.
-1 + 4c = -19
-
-
C =
Answer:
Hey mate.....
Step-by-step explanation:
This is ur answer....
-1 + 4c = -194c = -19 + 14c = -18c= -18/4c = 9/2Hope it helps!
Brainliest pls!
Follow me! ♧
SPANISH
help i need an answer to these question (and please one that isn't a scam)
Answer:
for the first one its the middle answer
Step-by-step explanation:
i speak almost fluent spanish but i am not amazing at math
How to write 9 and 15 thousandths in decimals
Answer:
0.915
Step-by-step explanation:
Jonah found that it took him 10 minutes to do 5 math problems. If he uses this information, what should be his estimation on how long it will take him to do 32 math problems?
We can round 32 down to 30.
10 minutes for 5 math problems is the same as 2 minutes for 1 math problem. Therefore, we can estimate that it will take Jonah approximately 60 minutes to do 32 math problems.
Hope this helps!! :)
Evaluate the expression. 4^2−3⋅4+7 Enter your answer in the box.
The answer is:
11
Hopefully this is right
Answer:
11
Step-by-step explanation:
[tex]4^{2}[/tex]-3*4+7 = 16 -12+7 = 4+7 = 11
Which number line model represents the expression-1/2+5/4
Answer:
B
Step-by-step explanation:
Please help!
It’s Geometry!!
***WILL MARK BRAINLIST!!!!
Answer:
3) the coordinate for angle S is (-1, 10)
4) the coordinate for angle B is (-8, -8)
Step-by-step explanation:
I grab a paper and drew on it. Rotated from the origin at a counter clockwise motion. That's all. (Sorry not very explicit)
Can someone help me with letter b along with an explanation.
Step-by-step explanation:
Forced vital capacity: the maximum amount of air you can forcibly exhale from your lungs after fully inhaling. It is about 80 percent of total capacity, or 4.8 liters, because some air remains in your lungs after you exhale
9514 1404 393
Answer:
a) 1.70 L
b) 16 breaths per minute
Step-by-step explanation:
a) The maximum value of v(t) occurs when the sine function is at its maximum value of 1. In that case, the volume is ...
1.27 +0.43×1 = 1.70 . . . liters
__
b) One full breath cycle takes a period of time that makes the argument of the sine function be 2π. The that time period is ...
1.71t = 2π
t = 2π/1.71 ≈ 3.6744 . . . seconds
Then the number of breaths per minute is ...
(60 seconds/minute)/(3.6744 seconds/breath) ≈ 16.33 breaths/minute
The person takes about 16 breaths per minute while sleeping.
A cyclist rides her bike at a rate of 10 kilometers per hour what is this rate in miles per hour? How many miles will the cyclist travel in 3 hours? In your computations, assume that 1 mile is equal to 1.6 kilometers l. Do not round your answers
Answer:
cyclist will travel 64 kilometres in 4 hours
Step-by-step explanation:
speed of cyclist = 10 miles per hour
given 1 mile is equal to 1.6 kilometres.
1*10 miles will be equal to 1.6*10 kilometres
thus , 10 mile is equal to 16 kilometres
using 16 km in place of 10 miles in 10 miles per hour
we have
speed of cyclist = 16 kilometres per hour
we know that distance = speed * time
speed is 16 kilometres per hour
time 4 hours
thus , distance = 16*4 kilometres= 64 kilometres.
cyclist will travel 64 kilometres in 4 hours.
(Hope this helps can I pls have brainlist (crown)☺️)
Mark 4 feet of licorle to show 3/4
on number line
PLEASE HELP I NEED THIS NOW. 20 POINTS & ILL MARK BRAINLIEST
Find the measures of the complementary angles that satisfy each case:
The measure of the first angle is 40 degrees less than the measure of the second
9514 1404 393
Answer:
25°, 65°
Step-by-step explanation:
Essentially, you want two angles that have a sum of 90 degrees and a difference of 40 degrees.
The smaller is half the sum less half the difference: 90/2 -40/2 = 45 -20 = 25.
The larger is half the sum plus half the difference: 90/2 +40/2 = 45 +20 = 65.
Of course, once you know either value, you can add or subtract the difference (as needed) to find the other value.
The two angles are 25° and 65°.
_____
Additional comment
There are many ways you can arrive at this conclusion. Algebraically, we can write ...
a+b = sum
a-b = difference
Adding these two equations gives ...
2a = sum +difference
Multiplying by 1/2, we get ...
a = 1/2sum +1/2difference . . . . . . as described above
Subtracting the difference gives ...
b = a -difference = 1/2sum -1/2difference
(01.02 MC)The number line shows the distance in meters of two jellyfish, A and B, from a predator located at point X:
Write an expression using subtraction to find the distance between the two jellyfish. (5 points)
Show your work and solve for the distance using additive inverses. (5 points)
hello again!
you can calculate the distance between A and B by subtracting
distance = B-A=0.5m-(-1.5)m=2m
Need help with number 31
Answer:
Kelly's wrong, because 97/1000 can be written as 0.097 not 0.97.
Step-by-step explanation:
you would get 0.97 by dividing 97 by 100.