Answers
Explanation: The formula for the volume of a cylinder is pi (3.14 here) * r^2 * 3
Thus, we have 235.5=3.14r^2*3
Dividing both sides by 3 leaves us with 78.5=3.14r^2
Dividing both sides by 3.14 gives us 25=r^2
To solve the equation, we take the sqrt of both sides and we find that r is 5 cm.
Answer:
\(5cm\)
Step-by-step explanation:
\(r=\sqrt{\frac{V}{\pi h} } \\=\sqrt{\frac{225.5}{\pi *3} } \\=5cm\)
Related Questions
Assuming that the mechanical properties data given in appendix table a-9 for some carbon steels represents mean values, what is the value of the ultimate tensile strength for 4130 steel quenched and tempered at 400f if a reliability of 90% is required?
Answers
The required ultimate tensile strength for 4130 steel quenched and tempered at 400F is 138,000 psi with a reliability of 90 percentage.
The ultimate tensile strength of 4130 steel quenched and tempered at 400F can be calculated using the data given in Appendix Table A-9. First, we need to calculate the standard deviation of the ultimate tensile strength of 4130 steel which is 16,000 psi. Then, we need to calculate the margin of error at a reliability of 90 percentage. This is done by multiplying the standard deviation by 1.645, which gives us a margin of error of 26,120 psi. Finally, we need to add the margin of error to the mean value of ultimate tensile strength, which is 112,000 psi. This gives us a required ultimate tensile strength of 138,120 psi with a reliability of 90%.
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What is the equation of the line that passes through the point (-3,2) and has a slope of 2/3
Answers
Answer: y = 2/3 -2
Step-by-step explanation: using a graph you can plot the point (-3, 2).
After this, you can use the slope of 2/3 to graph the starting point. You go 3 to the left and 2 up going through the y axis of -2. using y = mx + b, you can plug in the slope of 2/3 and the starting point of -2.
James conducted an experiment with 4 possible outcomes. He determined that the experimental probability of event A happening is 10 out of 50. The theoretical probability of event A happening is 1 out of 4. Which action is most likely to cause the experimental probability and theoretical probabilities for each event in the experiment to become closer? removing the last 10 trials from the experimental data completing the experiment many more times and combining the results to the trials already done including a fifth possible outcome performing the experiment again, stopping immediately after each event occurs once
Answers
Answer:
Completing the experiment a few more times and combining the results to the trails already done.
Answer:
Completing the experiment a few more times and combining the results to the trails already done.
Step-by-step explanation:
3x^2-12x factorise in the form (x+b)(x-b)
Answers
Answer:
\(3x(x-4)\)
Step-by-step explanation:
\(3x^2-12x\) cannot be factorised in the form (x+b)(x-b) unless one of the b's is zero, so I wonder if the expression is incomplete?
To factorise \(3x^2-12x\), take out the common factor \(3x\):
\(\implies3x(x-4)\)
Therefore, x = 0 and x = 4
- - - - - - - - -
\(3x^2-12x\) factorised in the form (x+b)(x-b) would be \((3x+0)(x-4)\)
but it is not usual to have a zero in a factorised form.
solve 2x -9 equal 15
Answers
Answer:
x= 12
Step-by-step explanation:
15+9=24
24/2=12
Answer:
x = 12
Step-by-step explanation:
2x - 9 = 15
+ 9
2x = 24
2 2
x = 12
To legally drive a off-road vehicle, your age, a, must be 13 or over. Which of the following inequalities represents this sentence?
1. a ≥ 13
2. a ≤ 13
3. a < 13
4. a > 13
Answers
Answer:
1.
Step-by-step explanation:
The > symbol shows that you have to be older than 13, and there must be a line underneath to signify a can be equal to the number (meaning you can be 13 to do this).
Answer:
a ≥ 13 is the answer for your question
Please help, im failing geometry and i cant get this down.
Segment GH has endpoints at -4 and 10
what is the coordinate of the mid point??
Coordinate of the midpoint of segment GH is______????
Answers
Answer:
3
Step-by-step explanation:
On the number line from -4 to + 10 is 14 units 1/2 of this is 7
add 7 to - 4 = 3
will marks brainlest helppp
Answers
Answer:
The value is -10
Step-by-step explanation:
Zmjzgshs
If P(B)=0.3,P(A∣B)=0.5,P(B ′ )=0.7, and P(A∣B ′ )=0.8, find P(B∣A).
Answers
If P(B)=0.3, P(A|B)=0.5, P(B')=0.7and P(A|B')=0.8, then the value of the probability P(B|A)= 0.2113
To find the value of P(B|A), follow these steps:
The probability of B given A can be given by the product of the probability of A given B and the probability of B, divided by the total probability of B. So, the formula for P(B|A) = P(A|B) * P(B) / [P(A|B)*P(B)+P(A|B')*P(B')]. Substituting the values, we get P(B|A) = (0.5) (0.3) / [(0.5) (0.3) + (0.8) (0.7)] ⇒P(B|A) = 0.15 / [0.15 + 0.56] ⇒P(B|A) = 0.15 / 0.71 ⇒P(B|A) = 0.2113. Therefore, P(B|A) = 0.2113.Learn more about probability:
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Helpppppp pleaseeeee
Answers
Answer:
x + 11
x = 6
6 + 11
17
Step-by-step explanation:
Answer: X+11=6+11=17 #5
Step-by-step explanation:
Hope this helps! Have a good day! :)
If a polygon is a square, then it is a rectangle. True or false
Answers
A graphical device used for enumerating sample points in a multiple-step experiment is a.
Answers
A graphical device used for enumerating sample points in a multiple-step experiment is a tree diagram.
A tree diagram is a visual representation that helps organize and enumerate all possible outcomes or sample points in a multi-step or sequential experiment. It consists of branches or lines that represent different choices or events at each step of the experiment, and the branches split and multiply as the experiment progresses. The final outcomes or sample points are represented as endpoints of the branches.
Tree diagrams are commonly used in probability theory and statistics to calculate probabilities and analyze complex experiments involving multiple stages or events. They provide a clear and systematic way to visualize and enumerate all possible outcomes, making them a helpful tool in analyzing and solving probability problems.
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Franklin uses a table saw to cut a piece of plywood from one corner to the opposite corner. If the piece of plywood measured 80 centimeters by 60 centimeters, how long was the cut that Franklin made?
Answers
The length of the cut that Franklin made is 100 centimeters.
What is Pythagoras' theorem?
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.
The cut that Franklin made is the length of the diagonal of the plywood, which we can find using the Pythagorean theorem.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.
In this case, the plywood forms a right triangle with sides of length 80 cm and 60 cm. Therefore, the length of the diagonal (the hypotenuse) can be found as follows:
diagonal length = \(\sqrt{(80^2 + 60^2)\)
\(= \sqrt{(6400 + 3600)\)
\(= \sqrt{10000\)
= 100 cm
Therefore, the length of the cut that Franklin made is 100 centimeters.
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PLZ HELP U GET 10 POINTS PLZZZZZ
Write 9 as a product of primes use index notation when giving answer what's the answer
Answers
Answer:
3x3 =9
3 is a prime number, 3x3=9
The slope and Y-Intercept for y=-x+2
Answers
Answer:
1 and 2
Step-by-step explanation:
slope is 1
y intercept is 2
basically base it off the equation y = mx + b
the m is the slope, but since in this case there is no number before x, you just put 1, since 1 times x is just x and thats why its left out
the b is the y intercept, so in this case its 2
At approximately what time on the next day does the depth first reach 4 meters? 3:00 am 4:00 am 5:00 pm 10:00 am
Answers
Answer:
the answer is B, 4:00 am
Step-by-step explanation:
Answer:
At approximately what time on the next day does the depth first reach 4 meters?
3:00 am
4:00 am
5:00 pm
10:00 am
The correct answer is B. 4:00 am
Lixin can type 2400 words in 3 hours. Find how many words can he write in 40 minutes.
Answers
Answer:
533
Step-by-step explanation:
3 hours = 180 minutes
2400 : 180 = x : 40
x = 2400 * 40 / 180
x = 2400 * 4 / 18
x = 2400 * 2 /9
x = 800 * 2 / 3
x = 1600/3
x = 533.333333
x = 533
What is the measure of angle C?
Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth. m∠C= 10 point 3 9
°
Right triangle A B C, with right angle C B A.
Answers
The measure of angle C is 10.39 degrees.In a right triangle, the sum of the measures of the angles is always 90 degrees. Since angle C is opposite the right angle, it is one of the acute angles in the triangle
To find the measure of angle C, we can use trigonometric ratios. In this case, we are not given any side lengths or specific trigonometric functions, so we cannot directly calculate the angle using trigonometry.However, if the angle measures are provided, we can determine the measure of angle C. In the given information, it is stated that the measure of angle C is 10.39 degrees.It is important to note that the measure of angle C in a right triangle can vary depending on the specific triangle's dimensions. In this case, the given measure of 10.39 degrees represents the specific angle C in the given right triangle A B C.In a right triangle, the sum of the angles is always 180°. Since we know that angle C is a right angle (90°), we can find the measure of angle A using the sum of angles property: Angle A = 180° - Angle C - Angle B In this case, Angle B is 90° since it is a right angle. Substituting the values: Angle A = 180° - 90° - Angle C Angle A = 90° - Angle C Now, we can use the fact that the sum of angles in a triangle is 180° to find the measure of Angle C.
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Assume the given general functional form; what is Y in the following linear regression? Y=α0+α1×1+α2×2+ε error term/residual intercept dependent variable independent variable
Answers
Y in represents the following in this linear regression Y = α₀+α₁X+α₂X₂+ε: C. dependent variable.
What is a regression line?In Mathematics and Geometry, a regression line is a statistical line that best describes the behavior of a data set. This ultimately implies that, a regression line simply refers to a line which best fits a set of data.
In Mathematics and Geometry, the general functional form of a linear regression can be modeled by this mathematical equation;
Y = α₀+α₁X+α₂X₂+ε
Where:
Y represent the dependent variable.x represent the independent variable.ε represent the error term or residualα₀ represent the intercept or initial value.In conclusion, Y represent the dependent variable or response variable in a linear regression.
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The distance s s that an object falls varies directly with the square of time, t t, of the fall. If an object falls 16 16 feet in one second, how long for it to fall 256 256 feet
Answers
Answer:
It will take 16 seconds to fall 256 feet.
Step-by-step explanation:
The distance s that an object falls varies directly with the square of time t of the fall i.e.
\(s=kt\)
Where
k is the constant of proportionality
An object falls 16 feet in one second, it means,
16 feet = 1 second
1 feet = (1/16) seconds
To fall 256 feet,
\(t=\dfrac{256}{16}\\\\t=16\ s\)
So, it will take 16 seconds to fall 256 feet.
in a set of ten scores arranged in ascending order the 5th score is 3 less than the 6th score, if the 6th score is 14, find the median of the scores
Answers
Answer:
I believe the median is 6.5
Step-by-step explanation:
If the polygon is translated 4 units down and 5 units right, what will the coordinates of the new image be? Use prime notation in expressing the new coordinates. (5 points)
explain:
Answers
Using prime notation, the new coordinates after translation are;
New coordinates;
A': (-1, 1)
B': (-1, -2)
C': (3, -2)
D': (3, 2)
From the attached image, we can see that the coordinates are;A(-6, 5)
B(-6, 2)
C(-2, 2)
D(-2, 6)
Translating the polygon down by x units means the value of the y-coordinates will reduce by 4.In a similar fashion, translation 5 units to the right means that the x-coordinates would increase by 5.Applying these translation numbers to our coordinates, we will now have;A(-6 + 5, 5 - 4)
B(-6 + 5, 2 - 4)
C(-2 + 5, 2 - 4)
D(-2 + 5, 6 - 4)
Simplifying each of them gives us the new coordinates as;
A: (-1, 1)
B: (-1, -2)
C: (3, -2)
D: (3, 2)
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Solve the simultaneous equations 7 x + 4 y = 26 5 x + 4 y = 14
Answers
Step-by-step explanation:
i used elimination method
what is the length (in cm) of a pendulum that has a period of 0.537 s?
Answers
The length of the pendulum is approximately 24.99 cm.
The formula for the period of a pendulum is:
T = 2π√(L/g)
where T is the period in seconds, L is the length of the pendulum in meters, and g is the acceleration due to gravity (approximately 9.81 \(m/s^2\)).
To find the length L of the pendulum in centimeters, we can rearrange the formula as follows:
L = (T/2π\()^2\) * g
Substituting T = 0.537 s and g = 9.81 m/s^2 (which is equivalent to 981 cm/s^2), we get:
L = (0.537/(2π)\()^2\) * 981
L ≈ 24.99 cm
Therefore, the length of the pendulum is approximately 24.99 cm.
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Tekan-Tekan Sdn. Bhd. has order for 200 Model AS-120 calculator for delivery on day 200. The calculator consists of three parts. Components 2 and 3 form subassembly 1 . Sub-assembly 1 and component 4 form the final assembly. Following are the work centers and times of each operation. Table Q3(a) shows routine file of the operation. Assuming: - Only one machine is assigned to each operation - The factory works on 8-hour shift, 5 days a week - All parts move in one lot of 200. (a) Illustrate the backward schedule based on the information given above. (12 marks) (b) Identify when component 3 must be started to meet the delivery date. (2 marks)
Answers
Component 3 must be started on day 197 to meet the delivery date of day 200.
To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.
(a) Backward schedule:
Operation | Work Center | Time (hours) | Start Day
--------------------------------------------------------
Final Assembly | Work Center 1 | 1 | 200
Sub-assembly 1 | Work Center 2 | 2 | 199
Component 4 | Work Center 3 | 3 | 197
Component 2 | Work Center 4 | 4 | 196
Component 3 | Work Center 5 | 3 | ????
(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.
From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.
Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.
Hence, component 3 must be started on day 197 to meet the delivery date of day 200.
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cube of 24 full answer
Answers
Answer:
The cube root of 24 is 2.884499141
If that's what ur asking
Please help me with this homework
Answers
Slope a: 5/1
The sequence {
3
2n+1
}
n≥1
a. Bounded b. geometric c. arithmetic d. diverges
Answers
The correct option is a. bounded. According to the question The given sequence is \(\[ a_n = \frac{3}{2n + 1} \]\) is bounded and converges.
We need to determine whether the sequence converges, is bounded, geometric, arithmetic, or diverges.
a. Bounded: To check if the sequence is bounded, we can analyze the behavior of its terms. As n increases, the denominator \(\(2n + 1\)\) also increases. Consequently, the values of \(\(a_n\)\) will approach zero. Since \(\(a_n\)\) approaches zero but is never equal to zero, the sequence is bounded.
b. Geometric: A geometric sequence has a common ratio between consecutive terms. In this case, the sequence does not have a constant ratio between its terms, so it is not geometric.
c. Arithmetic: An arithmetic sequence has a constant difference between consecutive terms. Here, the sequence does not have a constant difference between its terms, so it is not arithmetic.
d. Diverges: Since we have already established that the sequence is bounded and not geometric or arithmetic, we can conclude that the sequence converges. Therefore, it does not diverge.
In summary, the given sequence is bounded and converges.
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One marble is picked at random and NOT replaced from a box that has 3 red marbles, 4 green marbles 2 blue marbles and one yellow marble. Find the probability of selecting a red and a red marble.
Answers
Answer:
3/9
Step-by-step explanation:
because there are total 9 marbles. 3 red, 4 green and 2 blue.so the probability is 3/9.
ZX bisects ∠WZY. If the measure of ∠YXZ is (6m – 12)°, what is the value of m?
6
17
90
102
Answers
Answer:
The correct answer is option B. 17
Step-by-step explanation:
It is given that, ZX bisects ∠WZY. If the measure of ∠YXZ is (6m – 12)°
To find the value of m
From the figure we can see that, triangle WYZ is an isosceles triangle.
ZW = ZY
Then <YXZ = <WXZ = 90°
It is given ∠YXZ = (6m – 12)°
(6m – 12)° = 90°
6m = 90 + 12 = 102
m = 102/6 = 17
Therefore the value of m = 17
The correct answer is option B. 17
Answer:
its 17. so B
Step-by-step explanation:
just did it