Round 11.036568047 to 4 decimal places.
Answers
Answer:
11.0366
Step-by-step explanation:
Look at the 5th digit after the decimal place. If it is a 4 or lower, round down. If it is a 5 or higher, round up:
11.03656 - 6 is higher than 5 so the number is rounded up to 11.0366
Hope this helps!
The number is rounded up to 11.0366.
How to identify the place value of a digit in a number?The place values on left of decimal point start as ones, tens, hundreds, and so on...
The place value on right of decimal point starts from point and goes to right as tenths, hundreths and so on..
Thus, The tens means multiply by 10
Thus, The tenth means tenth part of that digit which is that digit divided by 10
If we Look at the 5th digit after the decimal place. it is a 4 or lower, round down. If it is a 5 or higher, round up:
11.03656 -
6 is higher than 5 so, the number is rounded up to 11.0366.
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Related Questions
It takes  algebra books (all the same thickness) and  geometry books (all the same thickness, which is greater than that of an algebra book) to completely fill a certain shelf. Also,  of the algebra books and  of the geometry books would fill the same shelf. Finally,  of the algebra books alone would fill this shelf. Given that  are distinct positive integers, it follows that  isSolution
Answers
The smallest possible value for G is 1, which makes A = 9. Therefore, the value of x is 9.
To find the value of x, we need to set up an equation using the given information. Let's use the following variables:- A = the number of algebra books,- G = the number of geometry books, - a = the thickness of an algebra book, - g = the thickness of a geometry book. We are given that it takes A algebra books and G geometry books to fill the shelf:
Aa + Gg = Shelf, We are also given that 5/6 of the algebra books and 3/4 of the geometry books would fill the same shelf: (5/6)Aa + (3/4)Gg = Shelf, And we know that 3/4 of the algebra books alone would fill the shelf:
(3/4)Aa = Shelf. Now, we can use these equations to solve for x. First, let's divide the second equation by the third equation:
[(5/6)Aa + (3/4)Gg] / [(3/4)Aa] = Shelf / Shelf.
So [(5/6)Aa + (3/4)Gg] / [(3/4)Aa] = 1.
Now, let's simplify the equation: (5/6)A + (3/4)G = (3/4)A. To eliminate the fractions, multiply both sides by 12:
10A + 9G = 9A. Now, isolate A: A = 9G. We know that A and G are distinct positive integers. So, the smallest possible value for G is 1, which makes A = 9. Therefore, the value of x is 9.
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simplify 3(12-8)+5 plz help
Answers
Answer:
the answer would be 17.
Step-by-step explanation:
to get my answer I used PEMDAS and distribution.
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
Answer:
3(4) + 5
Step-by-step explanation:
Use the BEDMAS method (Brackets, exponents, division, multiplication, addition, subtraction.)
in the newspaper article referred to in exercise 9.57, 32% of the 1600 adults polled said the u.s. space program should emphasize scientific exploration. how large a sample of adults is needed for the poll if one wishes to be 95% confident that the estimated per- centage will be within 2% of the true percentage?
Answers
n = (z^2 * p * q) / E^2
where:
n = sample size
z = z-score for the desired level of confidence (95% in this case), which is 1.96
p = estimated proportion (0.32, based on the 32% result from the previous poll)
q = 1 - p
E = margin of error (0.02, or 2%)
Substituting the values, we get:
n = (1.96^2 * 0.32 * 0.68) / 0.02^2
n = 752.65
Rounding up to the nearest whole number, we get a sample size of 753. Therefore, to be 95% confident that the estimated percentage will be within 2% of the true percentage, a sample of at least 753 adults is needed.
For the system shown below, what is the value of z?
Answers
The value of z on the system of equations is given as follows:
D. 4.
How to obtain the value of z?The system of equations in the context of this problem is defined as follows:
y = -2x + 14.3x - 4z = 2.3x - y = 16.Replacing the first equation into the third equation, the value of x is obtained as follows:
3x - (-2x + 14) = 16
3x + 2x - 14 = 16
5x = 30
x = 6.
Replacing x = 6 onto the second equation, the value of z is obtained as follows:
3(6) - 4z = 2
18 - 4z = 2
4z = 16
z = 4.
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HELP WILL GIVE BRAINLIEST!!
Answers
Answer:
25
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
not a 100% sure just trying to help
Pls help, show work! Thank you
Answers
Answer:
126 miles
Step-by-step explanation:
1/4 inches = 9 miles
Divide 3.5 by 1/4 or 0.25
3.5 ÷ 0.25 = 14
Multiply 14 by 9
14 x 9 = 126
126 miles
Which of Polygons B, C, D, E, and F are similar to Polygon A? Select all that apply. Recall
that similar means same shape and different sizes. The figures do not need to be
oriented the same way.
Answers
Answer: A, D, F
The guy above me is wrong.
Direction: Look at the examples of pictures, after that, answer the “Let's Try”. (Show me the solutions)
Answers
For the lengths of the triangle, what is true and false is;
1. YES 2. NO 3. YES 4. YES 5. NO 6. NO 7. NO 8. YES 9. YES
10. YES (if x, y > 0 and the sum of any two sides is greater than the third side)
How do you identify the lengths of the correct lengths of the triangle?To determine if a set of three side lengths can form a triangle, they have to fulfil the Triangle Inequality Theorem.
The theorem says that the sum of the lengths of any two sides must be greater than the length of the remaining side.
a. 12, 11, 10
11+10 > 12, 12+10 > 11, and 12+11 > 10
b. 3, 7, 10
3+7 > 10, but 3+10 < 7 and 7+10 < 3.
c. 2+3 > 4, 2+4 > 3, and 3+4 > 2.
d. 4, 6, 7
4+6 > 7, 4+7 > 6, and 6+7 > 4
e. 3, 2, 1
3+2 > 1, but 3+1 < 2 and 2+1 < 3
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Write the slope intercept form of the equation of each line plz
Answers
Answer:
y = -11/6z - 6
Step-by-step explanation:
11z +6y = -36
-11z -11z
6y = -11z -36
----- ----- ----- divide by 6
6 6 6
y = - \(\frac{11}{6\\}\) z -6
sqrt 8 + sqrt 32 - sqrt 2, find the exact value of the expression
i got 6 sqrt 2, but it was wrong.
Answers
Answer:sqrt 38
Step-by-step explanation:32+8-2 is 38
Find the slope for each line
The first part is A
The second part is B
Answers
what is (fxg)(x)
f(x)=x^3-4x+2
g(x)=x^2+2
Answers
Answer: x^6+6x^4+8x^2+2
Step-by-step explanation:
Since g comes after f then you will take g's equation and plug it into the f equation so it would turn out to be if you plugged it in
(x^2+2)^3-4(x^2+2)+2 which would equal x^6+6x^4+8x^2+2
Make
x
the subject of the formula
a = bx + c
Answers
Answer: x = a/b - c
Step-by-step explanation:
First divide by b on each side to get the x by itself.
Then subtract c from both sides to make x the subject of the formula.
Step-by-step explanation:
a = bx + c
the goal is to get to a form with "x = ...".
a - c = bx
(a - c)/b = x
done.
A soccer ball is kicked from the top of one building with a height of H1 =27.1 m to another building with a height of H2 =11.9 m. (It is not a very smart idea to play soccer on the roof of tall buildings.) The ball is kicked with a speed of v0=15.7 m/s at angle of θ=72.0∘
with respect to the horizontal. How much time will the ball spend in the air before it hits the roof of the other building? (The soccer ball is kicked without a spin. Neglect air resistance.)
Answers
The time the soccer ball spends in the air before hitting the roof of the other building is approximately t_flight seconds.
To solve the problem, we can analyze the motion of the ball in the vertical direction. Since we neglect air resistance, the only force acting on the ball in the vertical direction is gravity. The motion follows a projectile trajectory, and we can use the equations of motion to find the time of flight.
Given:
Initial speed (v0) = 15.7 m/s
Launch angle (θ) = 72.0 degrees
Height of first building (H1) = 27.1 m
Height of second building (H2) = 11.9 m
To find the time of flight, we need to analyze the vertical motion of the ball. The time it takes for the ball to hit the roof of the second building is equal to the time it takes for the ball to reach its maximum height and then fall to the height of the second building.
First, we can find the time it takes for the ball to reach its maximum height using the vertical component of the initial velocity:
v0y = v0 * sin(θ)
Using the equation for vertical displacement, we have:
Δy = H1 - H2
Since the ball reaches its maximum height when its vertical velocity becomes zero, we can find the time it takes to reach the maximum height using the equation:
vfy = v0y - g * t
0 = v0y - g * t_max
Solving for t_max, we get:
t_max = v0y / g
Next, we can find the total time of flight by doubling the time it takes to reach the maximum height:
t_flight = 2 * t_max
Substituting the values and using the acceleration due to gravity (g ≈ 9.8 m/s^2), we can calculate the time of flight.
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HELP
i just need to make sure my answers are right (i will check the answer after i do it)
Answers
1,1
2,-2
I think this is right
A real estate agent received 1.5% commission for a house that sold for $250,000. How much was the agent's commission?
a. $3,750
b. $375
c. $37,500
d. $125,000
Answers
Answer:
The answer is B.
Step-by-step explanation:
The answer would be B because dividing 250,000 would get you 25,000 which would be 10% of the total cost. Dividing by 10 again would get you 2500 which would be 1% of the total cost. Divide 2500 by 2 and you'll get 1250. 1250 + 2500 would be 1.5% of the total cost.
what is the greatest common divisor of all of the members of the set containing all numbers that are the product of four consecutive positive integers?
Answers
To find the greatest common divisor (GCD) of all the numbers that are the product of four consecutive positive integers, let's analyze the pattern and derive a formula for these numbers.
Let's consider the product of four consecutive positive integers as follows:
\(n * (n + 1) * (n + 2) * (n + 3)\)
Expanding this expression:
\(n * (n + 1) * (n + 2) * (n + 3) = n^4 + 6n^3 + 11n^2 + 6n\)
Now, to find the GCD of these numbers, we need to determine the common factors among them.
If we observe the expanded expression, we notice that each term contains at least one factor of n. Therefore, the GCD of the given numbers must have n as a factor.
Next, let's look at the other terms: \(6n^3, 11n^2\), and 6n. All these terms have n as a factor. Additionally, they have a common factor of 6.
Hence, the GCD of the numbers that are the product of four consecutive positive integers is 6n, where n is a positive integer.
The greatest common divisor of all the members of the set containing the numbers that are the product of four consecutive positive integers is 6n, where n is a positive integer.
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Using a Line to Find a Point-Slope Equation and the Equivalent Function A coordinate grid with a line passing through the points (negative 2, negative 1) and (2, 0) Use the graph of the line to answer the questions. What is an equation of the line in point-slope form? How can the point-slope form be written in function notation?
Answers
Answer:
y = x/4 -1/2
Step-by-step explanation:
given coordinates : ( -2, -1 ) and ( 2 , 0 )
gradient = y2 - y1 / x2 - x1
= 0 - -1 / 2 - -2
= 1/4
equation of line:
y - y1 = m( x - x1 )
y - 0 = 1/4 ( x - 2 )
y = x/4 -1/2
the line shown below to confirm:
\(\rm\red{\overbrace{\underbrace{\tt\color{orange}{\:\:\:\:\:\:\:\:Answer:\:\:\:\:\:\:\:\:\:}}}}\)
\(y = \frac{x}{4} \frac{ - 1}{2 } \)
\(\pink{\overbrace{\underbrace{\tt\purple{\:\:\:\:\:\:\:\:ChaEunWoo2009\:\:\:\:\:\:\:}}}}\)
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80 Points, please help!
If using the method of completing the square to solve the quadratic equation x^2-11x-14=0, which number would have to be added to "complete the square"?
Answers
Answer:
±√177/2+11/2
Step-by-step explanation:
Use the formula (b/2)^2 in order to create a new term. Solve for x by using this term to complete the square. Exact Form:x=±√177/2+11/2
x=12.15206734…,−1.15206734…
Answer:
30.25
Explanation:
Quadratic Equation: x² - 11x - 14 = 0
Number added = (b/2)² = (-11/2)² = 30.25
Solving Steps:
x² - 11x = 14[add both sides by 30.25]
x² - 11x + 30.25 = 14 + 30.25[complete square]
(x - 5.5)² = 44.25[exchange sides]
(x - 5.5)² - 44.25 = 0will give brainliest
if jesus can walk on water and I can walk on watermelons and watermelons is 90 percent water does that make me 90 percent jesus?
Answers
Answer:
Well good question, but no.
Step-by-step explanation:
If you accept Jesus as you father and savior, then Jesus, God, and the Holy Spirt will live inside of you.
i- you know what- yes I think that would
8.225 - 7.91 please help me
Answers
Answer:
0.315
Step-by-step explanation:
2(x-1)+4x=3(x-1)+7 I need to solve to see if it solves, has no solution, or infinitely many solutions.
Answers
how would you determine the exact concentration of the solution made?
Answers
To determine the exact concentration of the solution made, one can divide the mass of the solute with the volume of the solution.
A solution is the substance formed by the mixture of solute in solvent. The solute may or may not be dissolved in the solution. One can determine the exact concentration of the solution if the mass of solute added in the specific volume of solution is known. If the solution is made by someone else, then its concentration can be determined by process of titration.
The concentration of a solution is expressed in the form of moles or grams per unit liter. If the solution is unknown and only its dissolved chemical is known, then titration will help in determining the closest value of concentration if performed without human error. In titration, the use of glassware that that is more precise than the flasks, beakers, and graduated cylinders are used.
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Refer to complete question below:
How do we determine concentration a solution? If it is a solution that we have made up, we can readily do the calculations required. But what if it is a solution that someone else has made? What technique can be used to gather information about a solution that we are given with no other information than the name of the chemical dissolved.
the sum of 3 times a number and 4 is equal to 7.
Answers
Answer: the number is one and the equation would be 3x+4=7
Step-by-step explanation:hope it helps, brainliest? i could really use it
Equation:
\(3 \times x + 4 = 7\)
Answer:
\(x = 1\)
Step-by-step explanation:
Subtract by 4
\(3x + 4 - 4 = 7 - 4\\\)
Simplify(Not cancel)
\(3x = 3\)
Divide sides by 3
\(\frac{3x}{3} = \frac{3}{3}\)
Find the result by division
\(\frac{3}{3} = 1\)
Thus,
x = 1
7 times a number increased by 3 is the
same as 13 more than 5 times the number.
Find the number.
Answers
2x = 10
x = 5
What is the probability distribution of X when X~B(1,1/25)?
P(X= 0) = 0.96
P(X= 1) = 0.04
P(X= 0) = 0.75
P(X= 1) = 0.25
P(X= 0) = 0.04
P(X= 1) = 0.96
P(X= 0) = 0.25
P(X= 1) = 0.75
Answers
The probability distribution of X when X~B(1,1/25) is (Option A)
P(X= 0) = 0.96P(X= 1) = 0.04See the explanation below.
What is the explanation to the above solution?Given X~B(n,p)
P(x=1) = C¹ₙ * P¹ * (1-P)ⁿ⁻¹ (n≥1)
Thus, X~B [1, 1/25]
1/25 = 0.04
hence, p(x=0)
= C⁰₁ * 0.04⁰ (1 - 0.04)¹
= 0.96
P (x=1)
= C¹₁ 0.04¹ (1-0.04)⁰
= 0.04
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used to have a square garage with 296 ft of floor space. recently built an addition to it. The garage is still a square, but now it has 50% more floor space. What was the length of one side of the garage originally? What is the length of one side of the garage now? What was the percent increase in the length of one side?
Answers
Answer:
230 ft
Step-by-step explanation:
A car traveling at an average speed of 100km covers a certain distance 3 hours 20 minutes. At what speed must the car travel to cover the Same distance in 2 hours 40 minutes
Answers
The car must travel at a speed of 125 km/h to travel the same distance in 2 h and 40 minutes.
How do you find speed in math?Speed is calculated as follows: speed = distance / time. Knowing the units for distance and time is necessary to calculate the units for speed. The units will be in metres per second (m/s) in this example since the distance is measured in metres (m) and the time is measured in seconds (s).Speed, expressed in terms of metres per second, is the rate at which an object's location changes. An item moves one metre in one second, for instance, if it starts at the origin and moves three metres in three seconds.The formula for an object's general speed is [Speed = Distance /Time]. M/s is the SI unit of speed.Given data :
d = ?
v1 = 100km/h
t1 = 3 hours and 20 minutes = 200 minutes
v2 = ?
t2 = 2 hours and 40 minutes
The distance covered by the car in 200 minutes at a speed of 100km/h is equal to the product of speed and travel time. This distance is 333.33 km. To cover the same distance at a travel time of 2 hours and 40 minutes, the speed must be calculated by dividing 333.33 km by 2.67 h. The speed is 1000/8 km/h or 125 km/h.
Computing for the speed of the car
speed = distance traveled / elapsed time
speed = (1000 km / 3 h) * (3/8 h/km)
speed = 1000 km / 8 h
speed = 125 km/h
The car must travel at a speed of 125 km/h to travel the same distance in 2 h and 40 minutes.
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Max spends three times as long on his math homework than he does on his science horr spent a total of 64 minutes on math and science homework last night, how long did he math homework?
Answers
Time spend on science homework is 16 minutes and time spend on math homework is 48 minutes.
What is Equation?Two or more expressions with an Equal sign is called as Equation
Given that,
The time spend on math homework = 3 times time spend on science homework,
Also, total time spent on math and science both homework = 64 minutes.
Let time spend by Max on science homework is t minutes,
Then by given condition, time spend on math homework = 3t
Total time = 64 minutes
t + 3t = 64 minutes
4t = 64 minutes
Divide both sides by t
t = 16 minutes
Hence, Time spend on science homework is 16 minutes and time spend on math homework is 48 minutes.
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The table for the quadratic functions f(x) and g(x) are given. x f(x) g(x) −6 36 12 −3 9 3 0 0 0 3 9 3 6 36 12 Determine the type of transformation and the value of k.
Answers
The value of k is 1, which is the value of function g(x) (and f(x)) when x = -3 or x = 3.
We can determine the type of transformation and the value of k for each of the functions using the tables provided for f(x) and g(x).
g(x) = 3f(x) (x)
Here, there occurs a vertical stretch/compression transformation. The function g(x) is a three-fold vertical expansion or contraction of f(x).
G(x) has a value of 4, which is identical to the value of k,
whether x = -6 or = 6.
g(x) = f(3x) (3x)
Here, there occurs a horizontal stretch/compression transformation. A horizontal stretch or compression of f(x) by a factor of 1/3 results in the function g(x).
When x = -3 or x = 3,
the value of k is 1, which is also the value of g(x) and f(x).
g(x) = (1/3)f(x) (x)
Here, there occurs a vertical stretch/compression transformation.
A vertical stretch or compression of f(x) by a factor of 1/3 results in the function g(x).
G(x) has a value of 4, which is identical to the value of k,
whether x = -6 or = 6.
g(x) = f(x/3)
Here, there occurs a horizontal stretch/compression transformation. The function g(x) is a three-fold horizontal stretching or compression of f(x). When x = -3 or x = 3, the value of k is 1, which is also the value of g(x) and f(x).
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