The best estimate for [tex]\sqrt{0.96}[/tex] is 0.98. The correct option is C. 0.98.
Given expression is [tex]\sqrt{0.96}[/tex].
We have to estimate the nearest hundredth value of [tex]\sqrt{0.96}[/tex].
Now we have to first calculate the square root of 0.96 after that we can estimate the nearest hundredth value of it.
For calculating the square root of 0.96 we have various method, but here we 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.
Babylonian MethodStep 1:Divide the number (0.96) by 2 to get the first guess for the square root . First guess will be [tex]\frac{0.96}{2} =0.48[/tex]
Step 2:Divide 0.96 by the previous result, [tex]\frac{0.96}{0.48} = 2.[/tex]
Average the value of step 2) with that of step 1:
[tex]\frac{0+0.48}{2} = 1.24[/tex] (new guess).
Now,
[tex]error= new\ guess-previous \ value[/tex]
[tex]error= 1.24-0.48\\error=0.76[/tex]
0.76 > 0.01.
As error > accuracy, we repeat this step again.
Step 3:Divide 0.96 by the previous result.
[tex]\frac{0.96}{1.24} =0.7741935484[/tex]
Average the above value with that of step 2:
[tex]\frac{(0.7741935484 + 1.24)}{2} = 1.0070967742\ (new \ guess).[/tex]
[tex]Error = new \ guess - previous \ value \\Error=1.24-1.0070967742\\Error= 0.2329032258[/tex]
0.2329032258 > 0.01.
As error > accuracy, we repeat this step again.
Step 4:Divide 0.96 by the previous result.
[tex]\frac{0.96}{1.0070967742} = 0.9532351057.[/tex]
Average the above value with that of step 3:
[tex]\frac{(0.9532351057 + 1.0070967742)}{2} = 0.98016594\ (new\ guess).[/tex] [tex]Error = 1.0070967742 - 0.98016594 \\Error= 0.0269308342.[/tex]
0.0269308342 > 0.01.
As error > accuracy, we repeat the step again.
Step 5:Divide 0.96 by the previous result.
[tex]\frac{0.96}{0.98016594} = 0.9794259939.[/tex]
Average the above value with that of step 4:
[tex])\frac{(0.9794259939 + 0.98016594)}{2} = 0.979795967 (\ new \ guess).[/tex] [tex]Error = 0.98016594 - 0.979795967\\Error = 0.000369973.[/tex]
0.000369973 < 0.01.
As error < accuracy, we stop the iterations and use 0.979795967 as the square root of 0.96.
So, we can say that the square root of 0.96 is 0.979 with an error smaller than 0.01 (in fact the error is 0.000369973). this means that the first 3 decimal places are correct.
Since the value of the right side from the hundredth place is greater than 4 so for rounding off we add 1 to the hundredth place.
So the nearest hundredth value of [tex]\sqrt{0.96}[/tex] is 0.98.
Hence the correct option is C. 0.98.
For more details on square root follow the link:
https://brainly.com/question/1527773
2x-5y=9 y-3x=-7 solve by substitution
x
=
2
and
y
=
−
1
Explanation:
y
=
3
x
−
7
and
2
x
−
5
y
=
9
Substitute for
y
2
x
−
5
(
3
x
−
7
)
=
9
Simplify
2
x
−
15
x
+
35
=
9
Keep going and get
−
13
x
=
−
26
So
x
=
2
Now find
y
y
=
3
x
−
7
→
3
(
2
)
−
7
y
=
−
1
What is the answer please give i really help and no links
Answer:
[tex]9\frac{57}{63}[/tex]
Step-by-step explanation:
First, we need to turn them into improper fractions:
[tex]2\frac{4}{7}[/tex] + [tex]7\frac{3}{9}[/tex]
7 x 2 + 4
7 x 9 + 3
[tex]\frac{18}{7}[/tex] + [tex]\frac{66}{9}[/tex]
Next, we need to find a common multiple of both 7 and 9
7, 14, 21, 28, 35, 42, 49, 56, 63
9, 18, 27, 36, 45, 54, 63
So the denomonator turns into 63.
We've multiplied the denomonater 9 times for the first fraction and 7 times for the second fraction, we therefore have to do the same to the numerator.
18 x 9 = 162
66 x 7 = 462
[tex]\frac{162}{63}[/tex] + [tex]\frac{462}{63}[/tex] = [tex]\frac{624}{63}[/tex]
Next, we have to turn it back into a mixed number.
To work it out: 624 / 63 = 9 (1 s.f) <--- Mixed number.
9 x 63 = 567
624 - 567 = 57 (Working out the remainder.)
Combining them, the answer is therefore [tex]9\frac{57}{63}[/tex]
Hope this helps and have a good day!
Name the solution
A.
(2, -3)
B.
(3, 2)
C.
(3, -1)
D.
(0, -2)
Answer:
C. (3, -1) is a solution
Step-by-step explanation:
It is inside in the double shaded area.
The graph below shows the water level in a tank being drained at a
constant rate. What does the Y-intercept of the graph represent? *
Tank Water Level
16
14
12
10
(1, 10)
Height (in.)
(4,4)
01234567
Time (h)
O The initial height of the water before any water drained out.
The number of hours it takes to completely empty the tank of water
O The number of hours needed to drain 1 inch of water from the tank
The number of inches that the tank can hold
Answer:
the initial height of water.
Step-by-step explanation:
when time equals zero, no water has been drained.
the volume of the tank is unknown however the volume in the tank is 12 at time zero
find the domain of y=1/2 square root of x+2-3
Which set of numbers are ordered from least to greatest?
O A. 7,1-41, -7,0,-131, 3
B. -31, -7,0,3,7, 1-4]
C. -7,-131,0,3, 4,7
D. 7.1-41,3,0.-131, -7
Find 51% of the number 93.
Answer:
47.43
Step-by-step explanation:
To find 51% of the number 93, multiply the latter by 0.51:
0.51(93) = 47.43
Answer:
47.43
Step-by-step explanation:
51% of 93
[tex]\frac{51}{100}\times \frac{93}{1}[/tex]
[tex]=\frac{4743}{100\times \:1}[/tex]
[tex]=\frac{4743}{100}[/tex]
Question 3
If f(x) = -2 and g(x)= 3x2 +2x - 6, find (+g)(x).
A. 3x+3x+4
B. 3x2 +x-8
C. X2 +12
D. 3x2 + x - 3
Answer:
Step-by-step explanation:
For example, it is more usual to talk about polynomials of degree 6 than to ... Given the polynomials f (x)=3x3 +7x2−5x + 8, g(x) = −x5 + 6x4−2x3+ x−3 ...
What is the slope of this line?
Enter your answer as a whole number or a fraction in simplest form in the box.
URGENT NEED HELP ASAP
Answer:
1/4
Step-by-step explanation:
We know two points on the line so we can use the slope formula
(0,6) and (8,8)
m = ( y2-y1)/(x2-x1)
= (8-6)/(8-0)
= 2/8
= 1/4
Answer:
1/4
Step-by-step explanation:
slope=rise/run=1/4
Daniel runs at a pace of 8 miles in 60 minutes. What is his pace per mile?
Answer:
60/8 = 7.5 mins per mile
Step-by-step explanation:
I got these questions wrong, please explain how to do this
Answer:
See attachment
Step-by-step explanation:
6x - 4y = 16 find the slope and y intercept
Answer: slope: 3/2
y-intercept: (0,-4)
Step-by-step explanation:
y=3/2x-4 is slope intercept form
WILL MARK SOMEONE BRAINLIEST!!!! The chart below shows the age of the volunteers for the local pet hospital. When combined which two age groups would be greater than the 27-39 age group?
A. 0-13 and 14-26
B. 0-13 and 53-65
C. 40-52 and 14-26
D. 53-65 and 14-26
Answer:
C
Step-by-step explanation:
60+80=140 which is definitely higher than 100-120
Answer:
C. 40-52 and 14-26
Step-by-step explanation:
The age groups that can be more than 120 in number as the 27-39 age group can only be 2 groups.
The 40-52 is an age group which has 80 in number and below it the 14-28 age group has 60 in age group.
60+80 is more than the 27-39 ager group by 20 in number. Therefore, the C. 40-52 and 14-26 age groups are the 2 groups that have more than the 27-39 age group.
Select the algebra tiles that correctly model the problem.
three less than a number
Answer:
This is my answer, Credit to the person on top
Answer: its a
Step-by-step explanation:
HELP PLS!!
Adding and subtracting vectors in component form
===================================================
Explanation:
Problem 1
If we had the two vectors u = <a,b> and v = <c,d>, then adding them gives us
u+v = <a+c,b+d>
The corresponding coordinates pair up and add together.
In this case we have
u = <-3,4>
v = <6,8>
So,
u+v = <-3+6,4+8>
u+v = <3,12>
---------------------
Problem 2
We follow the same idea as the previous problem.
w = <8,-1>
g = <-1,1>
w+g = <8+(-1),-1+1>
w+g = <7,0>
---------------------
Problem 3
Similar to addition, subtracting vectors has us subtract the corresponding coordinates.
The general template is:
u = <a,b>
v = <c,d>
u-v = <a-c,b-d>
With this in mind, we can say the following:
g = <-1,1>
z = <-3,-3>
g-z = <-1-(-3),1-(-3)>
g-z = <-1+3,1+3>
g-z = <2,4>
---------------------
Problem 4
Follow the same idea as problem 3 above.
v = <6,8>
u = <-3,4>
v-u = <6-(-3),8-4>
v-u = <6+3,8-4>
v-u = <9,4>
---------------------
Problem 5
Refer to problem 1.
y = <1,1>
v = <6,8>
y+v = <1+6,1+8>
y+v = <7,9>
---------------------
Problem 6
u = <-3,4>
h = v+y = y+v = <7,9>
u+v+y = u + h
u+v+y = <-3,4> + <7,9>
u+v+y = <-3+7,4+9>
u+v+y = <4,13>
Notice how I built off the result of problem 5 when I used h = v+y. The vector v+y is the same as y+v because the order of addition doesn't matter. Also, the idea mentioned in problem 1 can be extended for more than two vectors.
if p(x)=3x+1, what is the value of p(-2) ? *
Answer:
p(-1)= -5
p(2)= 19
Answer:
-5
Step-by-step explanation:
p(x)=3x+1
p(-2)=3(-2)+1
p(-2)=-6+1
p(-2)=-5
If you're satisfied with the answer, then please mark me as Brainliest. Thank you.
0.2343217 Is it rational or irrational
How do I solve this problem?
Rewrite using a single positive exponent.
(5-3)*
To write this expression as a positive exponent we use this rule of exponents: xa=1x−a. 5−3=15−−3=153. Use this rule for exponents: xa=1x−a. 5−3=15−−3=153=1125.
Step-by-step explanation:
Are you sure that's the complete question? If yes, there's no valid answer to this question as it's not complete. (Please do comment the full question below if you have it)
But assuming it's 5^-3 , we can apply the reciprocal law of indices which becomes:
[tex]\frac{1}{5^3}[/tex]
This is our final answer.
The reciprocal indices law states that:
[tex]x^{-n} = \frac{1}{x^n}[/tex]
Hope this helps!
How can I Graph
-7x= -105
Answer:
see explanation
Step-by-step explanation:
- 7x = - 105 ( divide both sides by - 7 )
x = 15
A line with equation x = c is a vertical line parallel to the y- axis passing through all points with an x- coordinate of c
Thus x = 15 is a vertical line passing through all points with an x- coordinate of 15
Plot (15, 0 ) , (15, 3 ) and (15, - 3) and join a straight line through them for graph
Look at triangle ABC. Coordinate grid shows negative 5 to positive 5 on the x axis and y axis at intervals of 1. A triangle ABC is shown with A at ordered pair 4, 5, B at ordered pair 2, 2, and C at ordered pair 4, 2. What is the length of side AB of the triangle? (1 point) a 3 b 5 c Square root of 6 d Square root of 13
The length of side AB from the given coordinate grid is; √20
How to find the length of the side of a triangle?The formula for distance between two coordinates is;
d = √((y2 - y1)² + (x2 - x1)²)
From the graph attached in the given brainly link, we have;
A(4, 5) and B(2, 1)
Thus;
AB = √((1 - 5)² + (2 - 4)²)
AB = √(16 + 4)
AB = √20
In conclusion, the length of side AB is √20
Read more about Triangle side length at; https://brainly.com/question/3673178
#SPJ1
Please don’t answer just for points! Help is really needed~
i dont understand
what do we need to do?
In the opposite figure : The perimeter of triangle ABC = ..... cm.
(a)123.5
(b) 375
(c) 98.5
(d) 108.5
Answer:
d 108.5
Step-by-step explanation:
assuming that the two angles with this dot * are equal...we can look for their sizes... by using SOHCAHTOA
SO I use tan
tan∅= opposite/adjacent
tan∅= 30/40 = 0.75.......then find the inverse you get 36.87......angles in a triangle adds up to 180.... * =26.57
use SOHCAHTOA again to get ungiven sides
then add ABC to get 108.54 cm as your answer.
I hope this is helping
PLEASE HELP!!!
46√2 simplified radical form
Which problem will have the greater quotient, 376.0 divided by 93 OR 376 divided by 93.01?
Answer: The first option.
Explanation: 376/93 = 4 4/94, while 376/93.01 = 4.04257606709....., which is less than 4 4/94, therefore the first option has the greatest quotient.
Rsound answer to two decimal places
80.75757575757575757575
Answer:
[tex]80. \bar{75}[/tex]
An exponential growth function has an asymptote of y = –3. Which might have occurred in the original function to permit the range to include negative numbers?
A whole number constant could have been added to the exponential expression.
A whole number constant could have been subtracted from the exponential expression.
A whole number constant could have been added to the exponent.
A whole number constant could have been subtracted from the exponent.
The right choice is: A whole number constant could have been subtracted from the exponential expression.
Let be an exponential function of the form [tex]y = A\cdot e^{B\cdot x}[/tex], where [tex]A[/tex] and [tex]B[/tex] are real numbers. A horizontal asymptote exists when [tex]e^{B\cdot x} \to 0[/tex], which occurs for [tex]B\cdot x \to - \infty[/tex].
For this function, the horizontal asymptote is represented by [tex]y = 0[/tex] and to change the value of the asymptote we must add the parent function by another real number ([tex]C[/tex]), that is to say:
[tex]y = A\cdot e^{B\cdot x} + C[/tex] (1)
In this case, we must use [tex]C = -3[/tex] to obtain an horizontal asymptote of -3. Thus, the right choice is: A whole number constant could have been subtracted from the exponential expression.
To learn more on asymptotes, we kindly invite to check this verified question: https://brainly.com/question/8493280
Answer: C. A whole number constant could have been added to the exponent.
Step-by-step explanation: On Edge!
Select all the intervals where f is increasing.
A. −3 < x < −2
B. -1.5 < x < 0
C. 3.5 < x < 4.5
D. None of the above
Step-by-step explanation:
since f(x) is overall increasing for the interval -3 < x < 0,
A and B both fit in there and are correct answers.
Answer:
C. 3.5 < x < 4.5
Step-by-step explanation:
Anything that is above 1 (4, 9, etc) is increasing and anything that is below 1 (0.4, -3, etc) is decreasing. A and B are wrong because they are negative or below 1 and it isn't D because C is increasing.
FAM I NEED YOU HELP POR FAVOR OR MY TEACHER IS GANNA KILL ME:
You purchase two bottles of sunscreen and a hat. The hat cost $6.50. You pay 6% sales tax. You pay a total of $16.43. How much does one bottle of sunscreen cost?
Answer:
9.87
Step-by-step explanation:
6%= 0.06
0.06 +6.50 = 6.56
16.43 - 6.50 = 9.87
23.2 x 0.14 can somebody help quick
Answer:
2.78
Step-by-step explanation:
you could have used a calculator
Answer:
23.2 times 0.14 is 3.248