Answer:
Line a and b
Step-by-step explanation:
Which is the best estimate of StartRoot 0. 96 EndRoot to the nearest hundredth? 0. 96 0. 97 0. 98 1. 0.
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
It is 8 a.m. and the animals are waking up. In exactly 5 minutes. Sarah will chirp. Sarah will then chirp every 5 minutes until 10 a.m.! To make matters worse, in exactly 13 minutes, Alex will chirp. Alex will then chirp every 13 minutes until 10 a.m.! How many times will both of them be making noise at exactly the same time? Explain how you solved it
Answer:
Once.
Step-by-step explanation:
To find when they chirp together, we must find the LCM of the two numbers. The LCM, or least common multiple of 13 and 5 is 65. Therefore, after 65 minutes is the first time they chirp together. Then we can multiply 65 by 2 to see if they chirp a second time. 65x2 is 130, but 8AM-10AM is only 120 minutes, therefore they do not chirp together more than 1 time.
what the top guy said was right
hoped that helped:P
Given g(r) = 3 – 8r, find g (–3).
Answer: R = 3/5
Step-by-step explanation:
i think
I need help lololololololololololololololol
Answer:
bestie so do i
Step-by-step explanation:
The African elephant can weigh eight tons. A ton is two thousand
pounds. How many pounds can an African elephant weigh?
How do I find a solution in an equation
Answer:
How to find a solution in an equation:
(1) Substitute the number for the variable in your equation,
(2) Simplify the expressions on both sides of your equation and
(3) Determine whether the resulting equation is true. If it is true, the number is a solution. If it is not true, the number is not a solution.
Step-by-step explanation:
If any questions, please ask them below.
If you have no questions, please have a great rest of your day/night!
hat equation represents this sentence?
7 less than a number is 16.
7−n=16
n−7=16
7=16−n
like you cut g
7=n−16
Answer:
2nd option
Step-by-step explanation:
let the number be n then 7 less than this number is n - 7 , so
n - 7 = 16
8 less than the sum of u and 2
Answer:
(u+2)-8
Step-by-step explanation:
sum is addition, less than is subtraction
PLEASE ANSWER ASAP!! WORTH 20 POINTS
A cab company charges a $4 boarding rate in addition to its meter which is $1.50 for every mile. Write a linear equation which models this. Use the equation to determine the total fare for a trip that is 2 miles, 3 miles and 5 miles.
Answer:
y = 1.50x+4
if x = 2
y = 7
if x = 3
y = 8.5
if x = 5
y = 11.5
Step-by-step explanation:
every mile(x) add 1.50 dollars to 4 dollars
PLEASE HELP!!!!
ILL MARK AS BRAINIEST!!!!
ANSWER HOW MUCH U CAN!!!
Answer:
1) C
2) B
3) D
4) A
5) B
Step-by-step explanation:
Hope this helps
MAy I get braineist pls???????????
Answer:
MARK ME AS BRAINLIEST!!!
Step-by-step explanation:
1. A
2. B
3. D
4. A
5. B
HAVE A NICE DAY!!!
:)
Enter a number in the box so that the equation will have no solution.
Answer:
156
Step-by-step explanation:
Angelo has to pack 7 books in boxes he can pack 7 books in each box how many boxes are need to pack all the books
1 box?
I'm confused whether you made a mistake writing the question or of this is what the actual question is like.
can yallll help pls . ………
Step-by-step explanation:
so, what is the problem with the first one ?
you only need to put the specified values into the places of the variables and then simply calculate :
2×-5 + 8×6 = -10 + 48 = 38
that is how expressions, equations and functions work.
for the second, I am counting only the squares with their clear "majority" inside the line. any small parts of squares I ignore.
so,
first row : 3
second row : 5
third row : 5
fourth row : 6
fifth row : 7
sixth row : 7
seventh row : 4
eighth row : 2
total : 39
6c = 2p – 10. write the equation in function notation, where c is the independent variable.
Answer:
p(c) = 3c +5
Step-by-step explanation:
Effectively, you want to solve for p.
6c = 2p -10
6c +10 = 2p
3c +5 = p
p(c) = 3c +5 . . . . function notation (p is a function of c)
Two similar triangles are shown on the coordinate grid:
A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A triangle ABC is shown with vertex A on ordered pair negative 2, negative 1, vertex B on ordered pair 0, 0, and vertex C on ordered pair 1, negative 3. A triangle A prime B prime C prime is also shown with vertex A prime on ordered pair negative 4, 2 , vertex B prime on ordered pair 0, 0 and vertex C prime on ordered pair 2, 6.
Which set of transformations has been performed on triangle ABC to form triangle A′B′C′? (5 points)
Dilation by a scale factor of 4 followed by reflection about the x-axis
Dilation by a scale factor of 2 followed by reflection about the x-axis
Dilation by a scale factor of 4 followed by reflection about the y-axis
Dilation by a scale factor of 2 followed by reflection about the y-axis
The set of transformation is: (b) dilation by a scale factor of 2 followed by reflection about the x-axis
The coordinates of the triangles are given as:
Triangle ABC
[tex]A =(-2, -1)\\[/tex]
[tex]B =(0, 0)[/tex]
[tex]C =(1, -3)[/tex]
Triangle A'B'C'
[tex]A' = (-4, 2)[/tex]
[tex]B '=(0, 0)[/tex]
[tex]C '=(2, 6)[/tex]
Start by dilating triangle ABC by a scale factor of 2.
The rule of this transformation is [tex](x,y) \to (2x,2y)[/tex]
So, we have:
[tex]A' =(-4,-2)[/tex]
[tex]B' =(0,0)[/tex]
[tex]C' = (2,-6)[/tex]
Next, we reflect the triangle across the x-axis.
The rule of this transformation is [tex](x,y) \to (x,-y)[/tex]
So, we have:
[tex]A' = (-4, 2)[/tex]
[tex]B '=(0, 0)[/tex]
[tex]C '=(2, 6)[/tex]
Hence, the set of transformation is: (b) dilation by a scale factor of 2 followed by reflection about the x-axis
Read more about transformation at:
https://brainly.com/question/4057530
Twelve is sixteen less than four times a number.
Help me please with this!…………………
Answer:
x = 2
Step-by-step explanation:
The two angles are congruent because they are alternative interior angles.
9x + 4 = 3x + 16
9x - 3x + 4 = 3x - 3x + 16
6x + 4 = 16
6x + 4 - 4 = 16 - 4
6x = 12
x = 2
EASY 25 POINTS
IF YOU GET IT WRONG I WILL NOT MARK BRAINLYEST
Answer: minimum: free
maximum: infinite
can anyone help me plz
Answer:
x = 24
Step-by-step explanation:
x/4 + 10 =16
-10 -10
x/4 = 6
*4 *4
x=24
hope this helps! :)
What is the solution set for the given inequality if the replacement set for r is {5, 6, 7, 8, 9, 10}? 16-r> 8
Answer:
{5, 6, 7}
Step-by-step explanation:
The solution to the inequality is ...
16 -r > 8 . . . . . given
16 -8 > r . . . . . add r-8
8 > r . . . . . . . simplify
The values in the replacement set that are less than 8 are {5, 6, 7}.
write 2³ in simplified form
Answer:
8
Step-by-step explanation:
2^1 = 2×1 = 2
2^2= 2×2= 4
2^3= 2×2×2= 8
An ice cream cup has 3 scoops of chocolate, 4 scoops of vanillas and 3 scoops of butter scotch ice cream. What is the probability that if you randomly sampled the ice cream that you will taste chocolate or vanilla ice cream?
Answer:
7 out of 10
Step-by-step explanation:
if you have 10 in the cup then you add
4 vanilla 3 chocolate = 7
and add all scoops together and you get 10
so your probability would be 7 out of 10
another way to say it is
the probability of getting chocolate or vanilla ice cream from the cup would be 7 out of 10
A bouncy ball is dropped such that the height of its first bounce is 2.75 feet and each successive bounce is 80% of the previous bounce's height. What would be the height of the 12th bounce of the ball? Round to the nearest tenth (if necessary).
Answer:
0.3 feet
Step-by-step explanation:
2.75(0.8)^x
in which x is the number of bounces after the firts bouce
bouce 12 would mean x=11
2.75(0.8)^11 = 0.2
Shirt Circuit Graphic Tees has fixed expenses of $25,560 for the production of their
t-shirts. They have a variable expense of $4.50 for each t-shirt that they
produce, and they sell their t-shirts for $22.50 each.
How many t-shirts does Shirt Circuit Graphic Tees have to sell to reach their
breakeven point?
Answer:
Step-by-step explanation:
Cost price = fixed expenses + variable expenses× number of products (x)
Selling price = total cost price + profit
At break even point,
Profit = 0
Therefore, total selling price = total cost price
X(22.50)= 25560 + x(4.50)
(22.50 - 4.50)x = 25560
18x= 25560
X = 1420
some one plz help!!! due in 10 min
Step-by-step explanation:
since f'(x) = 2f(x) and f(3) has no term of x (so, there must be a constant that eliminates x for x = 3), we get
f(x) = x²/9 × c
c = m×e^n
f(1) = 1/9 × m×e^n = 5
=> m×e^n = 45
f(3) = 9/9 × m×e^n = 45
m = 45
n = 0
FACTORIZE :-
3x³y( x-3y ) - 7x²y² ( x-3y )
Answer:
x²y(3x - 7)(x - 3y)
Hope you could get an idea from here.
Doubt clarification - use comment section.
please help I’ll give 60 points
Answer:
See image
Step-by-step explanation:
You need to use a common denominator in order to add fractions. The first fraction can be changed by multiplying by 3/3. The second fraction remains the same. The sum in the third line uses the two fractions with common denominators (both now have a 12 on the bottom). 8/12 can be reduced by dividing 8 and 12 by 4 to get 2/3 see image
Find the gradient of the line segment between the points (-6,2) and (4,10).
Give your answer in its simplest form.
Answer:
3
Step-by-step explanation:
gradient/slope/m formula:-
(-6,2) (4,10).
m=(10-4)/(-4-6)
m=6/2
m=3
what are dependent and independent variables in a function
Answer:
An independent variable is a variable that represents a quantity that is being manipulated in an experiment. ... In the context of a function, the independent variables are the inputs to the function and the dependent variables are the outputs of the function.
PLS HELP ASAP ILL GIVE BRAINLKEST PLS THANKS
Answer: y= (1/4)x
Step-by-step explanation: Best guess given screenshot, matched with desmos.