Charge required to levitate a ball is \(1*10^{-2}C\) given by the cross section of your pen 10 \(mm^{2}\), which is of order 10 squared.
what is Coandă effect?The flow of air is drawn toward the ball by the low pressure area that surrounds it. As a result, the fluid (air) jet flows across the ping pong ball's curved surface. The "Coandă effect" refers to this phenomena.
The airflow's propensity to stick to the ball's surface is the Coandă effect in this situation. This indicates that the streamlines are curved at the ball's surface, with a radius of curvature roughly equal to the ball's radius. This curvature produces a pressure gradient, much like it does in the theory of lift, which I assume to be constant over the surface:
The equilibrium point, when the net forces acting on the ball cancel, is indicated by this, which points radially inward. Gravity causes the ball to hang below this spot during practice.
The Charge required to levitate a ball is \(1*10^{-2}C\) given by the cross section of your pen 10 \(mm^{2}\), which is of order 10 squared.
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Which is equivalent to cos^-1(.17) round your answer to the nearest hundredth of a radian
Answer:
cos^-1(.17) is 1.40 in radian
Step-by-step explanation:
Given cos^-1(.17), the equivalent is 80.212
This is approximately 80.21°
Which is 1.40 in radian
What is the distance between the points (12 , -17) and (-12 , -17) in the coordinate plane?
A:24 units
B:0 units
C:12 units
D:29 units
A store manager wishes to investigate whether there is a relationship between the type of promotion offered and the number of customers who spend more than $30 on a purchase. Data will be gathered and placed into the two-way table below.
Customer Spending by Promotion Run
Customers Spending More than $30. Customers Spending $30 or Less.
$10 off $50
15% off
$5 off $25
Buy-1-Get-1 Half Off
Which statement best describes how the manager can check if there is an association between the two variables?
A. The manager must check relative frequencies by row because there are more than two different promotions.
B.The manager must check relative frequencies by column because there are more than two different promotions.
C. The manager cannot use relative frequencies to look for an association because there are more than two different promotions.
D. The manager should check both relative frequencies by row and by column to look for an association.
Answer:
the answer is d
Step-by-step explanation:
I took the test on edge
Answer:
D
Step-by-step explanation:
have a good day /night :)
The function describing the predicted velocity as a function of time, v(t), for a student-designed prototype two-stage model rocket during a 5.5 s time interval is given by v(t) = at’ + ßt² + yt, where a = 3.0 m/s4, B = –24 m/s°, and y = 54 m/s2. Due to ignition rates of the fuel in the two stages and external forces acting on the rocket, the design produces a velocity function that has both a local minimum and a local maximum during the time interval. Part F Determine the times at which v(t) has a local minimum and maximum. Express your answer as two numbers separated by a comma.
To determine the times at which v(t) has a local minimum and maximum, we need to find the critical points of the function. A critical point is a value of t for which either the first derivative, v'(t), or the second derivative, v''(t), is equal to zero or does not exist.
The first derivative of v(t) is given by:
v'(t) = a + 2bt + y
Setting v'(t) equal to zero and solving for t, we get:
0 = a + 2bt + y
t = -a / 2b = -(3 m/s^4) / (2(-24 m/s^2)) = 3/48 s
The second derivative of v(t) is given by:
v''(t) = 2b
Since b is negative, v''(t) is negative, so v(t) has a local maximum at t = 3/48 s.
Similarly, since the second derivative is constant and negative, the function v(t) has a local minimum.
Therefore, the times at which v(t) has a local minimum and maximum are 3/48 s and 3/48 s, respectively, expressed as two numbers separated by a comma: 3/48 s, 3/48 s.
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How do I solve this question?
Answer:
Math
Step-by-step explanation:
I don't know if this is right
estimate the solution to the system of equations.
7x-y=7
x+2y=6
Answer:
Your answer is in the screenshot
Step-by-step explanation:
Plz mrk brainliest
HELP PLSZZZZSZZZZZZZZZZ need asap
Answer: \(\frac{8}{15}\)
Step-by-step explanation: In total, Patty placed 45 slips of paper in a bag(10+9+8+7+6+5). Out of those 45 slips of paper, only 24 had even numbers on them(10+8+6), resulting in the fraction \(\frac{24}{45}\). If you divide both 24 and 45 by 3, the fraction can be simplified to \(\frac{8}{15}\).
What is the product?
(4x)(-3x^8)(-7x^3)
Answer:
84x¹²
Step-by-step explanation:
To simplify this expression, we work from left to right:
4x(-3x⁸)(-7x³)
Multiplying the coefficients of the first two, we have 4(-3) = -12. Using the laws of exponents, multiplying powers with the same base means we add the exponents; this gives us x(x⁸) = x¹⁺⁸ = x⁹. This gives us
-12x⁹(-7x³)
Multiplying the coefficients, we have -12(-7) = 84. Using the laws of exponents, for the variable we have x⁹(x³) = x⁹⁺³ = x¹²
This gives us
84x¹²
a 16- ounce package of cereal costs $4.00. what is the units cost?
Answer:
1 oz = $25
Step-by-step explanation:
Answer:
1 OZ= 25 cents.................. this is correct
Step-by-step explanation:
you multiple 16 times .25 which gets 4.00
What is an equation of the line that passes through the point ) (8,−5) and is parallel to the line
5x+4y=24?
By rearranging the equation, we get the equation of the line parallel to 5x + 4y = 24 that passes through the point (8, -5) as y = (-5/4)x + 5.To find the equation of a line parallel to another line, we need to determine the slope of the given line.
The equation of a line can be written in slope-intercept form as y = mx + b, where m represents the slope.
To determine the slope of the given line 5x + 4y = 24, we need to rearrange the equation in slope-intercept form. First, subtract 5x from both sides: 4y = -5x + 24. Next, divide all terms by 4: y = (-5/4)x + 6. Therefore, the slope of the given line is -5/4.
Since the line we are looking for is parallel to this line, it will also have a slope of -5/4. Now we can use the point-slope form of a line to find the equation. The point-slope form is given as y - y1 = m(x - x1), where (x1, y1) represents the given point (8, -5) and m is the slope.
Substituting the values into the equation, we have y - (-5) = (-5/4)(x - 8). Simplifying further, y + 5 = (-5/4)x + 10.
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4. Compute the unadjusted cost of goods sold for the year. Do not include any underapplied or overapplied overhead in your answer.
5. Assume that the $70,000 ending balance in Work in Process includes $24,000 of direct materials. Given this assumption, supply the information missing below:
The unadjusted cost of goods sold for the year is calculated by subtracting the ending inventory from the sum of beginning inventory and purchases. The formula is as follows:
Unadjusted Cost of Goods Sold = Beginning Inventory + Purchases - Ending Inventory
Without knowing the values for beginning inventory, purchases, and ending inventory, we cannot compute the unadjusted cost of goods sold for the year.
5. Given that the $70,000 ending balance in Work in Process includes $24,000 of direct materials, we can calculate the missing information as follows:
Direct Labor = Total Work in Process - Direct Materials - Overhead
Direct Labor = $70,000 - $24,000 - Overhead
Without knowing the value for overhead, we cannot compute the direct labor cost. However, we can rearrange the formula to solve for overhead:
Overhead = Total Work in Process - Direct Materials - Direct Labor
Overhead = $70,000 - $24,000 - Direct Labor
Without knowing the value for direct labor, we cannot compute the overhead cost.
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A total of 100 people went to the
movies. A ticket cost $4 for adults and
$2 for children. The total sales
amounted to $276. How many children
and adults attended the movies?
Using a system of equations, the number of children and adults who attended the movies is as follows:
Children = 62Adults = 38.What is a system of equations?A system of equations is two or more equations solved concurrently.
A system of equations is also known as simultaneous equations.
The total number of people who went to the movies = 100
The unit cost of adult tickets = $4
The unit cost of children tickets = $2
The total sales = $276
Let the number of children who attended the movies = x
Let the number of adults who attended the movies = y
Equations:x + y = 100 ... Equation 1
2x + 4y = 276 ... Equation 2
Multiply Equation 1 by 2:
2x + 2y = 200 ... Equation 3
Subtraction Equation 3 from Equation 2:
2x + 4y = 276
-
2x + 2y = 200
2y = 76
y = 38
Substitute y = 19 in equation 1:
x + y = 100
x + 38 = 100
x = 62
Check in Equation 2:
2x + 4y = 276
2(62) + 4(38) = 276
124 + 152 = 276
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Finish solving the system of equations. x - 5y = 6 -x + 2y = -3 -3y = 3 What is the value of y? Substitute the value of y back into one of the original equations to find the value of x. What is the value of x?
Answer:
y = -1, x = 1
Step-by-step explanation:
-3y = 3
y = 3/-3
y = -1
-x + 2y = -3
-x + 2(-1) = -3
-x - 2 = -3
-x = -1
x = 1
Answer: The answer is -1 and 1.
Step-by-step explanation: I got this correct on Edge, Hope this helps!
PLS HELP ASAP Which equation models this situation?
28 more than a number is 33.
A. X+ 33 = 28
B. X- 28 = 33
C. X = 28 + 33
D. X + 28 = 33
Answer:
d
Step-by-step explanation:
Answer:
more than a number = addition
so it is D because the end result has to be 33.
Step-by-step explanation:
Hope this helped!
What is the area of the square that measures 3.1 m on each side
The area of the square with a side length of 3.1 meters is 9.61 square meters.
To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.
Area of a square = side length × side length
Substituting the given side length into the formula:
Area = 3.1 m × 3.1 m
To perform the calculation:
Area = 9.61 m²
It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.
Remember, to find the area of any square, you simply need to multiply the length of one side by itself.
The area of the square with a side length of 3.1 meters is 9.61 square meters.
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PLS HELP ASAP
What is (f-g)(3})?
Answer:
442
Step-by-step explanation:
you can download g a u t h m a t h for questions like this, good luck :D
Which expression is equal to 3(5 + 6) ?
Answer:
33
Step-by-step explanation:
Helps me!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
C and D
Step-by-step explanation:
Hope this helps :)
Kim purchased 6 small containers of potato salad and Seth purchased 2 extra
large containers of potato salad. What is the difference in the weights, i
pounds, of Kim's and Seth's purchases?
Show your work.
Answer:
the difference is that the 2 extra LARGE containers weigh bigger than the
6 small ones
Step-by-step explanation:
Write an equation for the quadratic graphed below
x-intercepts: (-1,0) and (2,0). y-intercept: (0,-3)
Answer:
Step-by-step explanation:
LOL The graph doesn’t match the y intercept :)
Anyway
If we have point (0,-3) we have a quadratic of
y=ax^2+bx-3 we are given points (-1,0) and (2,0) so
a-b-3=0 and 4a+2b-3=0
4a+2b-3+2(a-b-3)=0
4a+2b-3+2a-2b-6=0
6a-9=0
6a=9
a=1.5, since a-b=3
1.5-b=3
b=-1.5
y=1.5x^2-1.5x-3
Answer:
1/2(x + 1)(x - 2)
Step-by-step explanation:
The x intercepts are -1 and 2, so the intercept form for this is y = a(x+1)(x-2).
We then by plug in the y intercept (0,-3)
-3 = a(0+1)(0-2)
1 * -2 = -2
-3 = -2a
division
-3/-2 = 3/2 which is 1.5
a = 1.5
y = 1.5(x+1)(x-2)
Pls help I am stuck Tysm
The mistake that Katie made in the stem and leaf diagram, was that she D. Missed a length.
How did Katie miss a length ?Looking at the stem and leaf diagram, we see that there are 14 leaves. This means that there are 14 lengths of caterpillars. However, there are 15 lengths shown on the table.
This means that there is a length missing that Katie failed to account for. Upon close inspection of the stem and leaf plot, we find that the missing length is a second value of 70 because there are two lengths that are 70 but this is shown only once on the stem and leaf plot.
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Which of the following is the x-axis?
Answer:
D
Step-by-step explanation:
C is the first quadrant (where both x and y are positive).
A is the y-axis.
B is the origin.
D is the x-axis
Answer: D
Step-by-step explanation: it wouldn't be B because that's the origin point and A is the y-axis and C is in the open, the Answer is D
The average score of local students on a college entrance exam is 110 with standard deviation of 15. The distribution is roughly bell-shaped. What is the percentage of local student with score below 95? Use the empirical rule to find the following percentage.
A. 34%
B. 16%
C. 15.5%
D. 13.5%
Answer:
B
Step-by-step explanation:
Here, we want to use the empirical rule to find the percentage.
The first thing we will do here is to find the z-score
Mathematically;
z-score = (x -mean)/SD
from the question, x = 95, mean = 110
and SD = 15
So z-score will be ;
(95-110)/15 = -15/15 = -1
So the probability we want to calculate is;
P(z < -1)
In terms of the empirical rule, we want to find the proportion of the scores which is less than 1 standard deviation of the mean.
According to the empirical rule, the proportion which is less than 1 standard deviation below the mean is 15.866% and the closest answer to this is 16% which is option B
By definition, the empirical rule is basically used in finding the proportion of values in this case scores which are at a certain standard deviation value below or above the mean. Below the mean are represented as negatives while above the mean are represented as positives.
The digits 3, 4, 5, and 6 are used to form a four-digit code. No
repeated digits are allowed. How many codes are possible?
The table below shows a correct representation that 12 pounds (lb) of sugar cost $4:
lb lb lb lb lb lb lb lb lb lb lb lb
$1 $1 $1
Answer:
Step-by-step explanation:
12lb=$4
X = $1
12=4x
x = 3
Therefore; $1 is 3lb
TIME REMAINING
44:54
The table below shows the number of cars sold each month for 5 months at two dealerships.
Cars Sold
Month
Admiral Autos
Countywide Cars
Jan
4
9
Feb
19
17
Mar
15
14
Apr
10
10
May
17
15
Which statements are supported by the data in the table? Check all that apply.
The mean number of cars sold in a month is the same at both dealerships.
The median number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The range of the number of cars sold is the same for both dealerships.
The data for Admiral Autos shows greater variability.
The statements supported by the data in the table are:
The mean number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The data for Admiral Autos shows greater variability.
To determine which statements are supported by the data in the table, let's analyze the given information:
The mean number of cars sold in a month is the same at both dealerships.
To calculate the mean, we need to find the average number of cars sold each month at each dealership.
For Admiral Autos:
(4 + 19 + 15 + 10 + 17) / 5 = 65 / 5 = 13
For Countywide Cars:
(9 + 17 + 14 + 10 + 15) / 5 = 65 / 5 = 13
Since both dealerships have an average of 13 cars sold per month, the statement is supported.
The median number of cars sold in a month is the same at both dealerships.
To find the median, we arrange the numbers in ascending order and select the middle value.
For Admiral Autos: 4, 10, 15, 17, 19
Median = 15
For Countywide Cars: 9, 10, 14, 15, 17
Median = 14
Since the medians are different (15 for Admiral Autos and 14 for Countywide Cars), the statement is not supported.
The total number of cars sold is the same at both dealerships.
To find the total number of cars sold, we sum up the values for each dealership.
For Admiral Autos: 4 + 19 + 15 + 10 + 17 = 65
For Countywide Cars: 9 + 17 + 14 + 10 + 15 = 65
Since both dealerships sold a total of 65 cars, the statement is supported.
The range of the number of cars sold is the same for both dealerships.
The range is determined by subtracting the lowest value from the highest value.
For Admiral Autos: 19 - 4 = 15
For Countywide Cars: 17 - 9 = 8
Since the ranges are different (15 for Admiral Autos and 8 for Countywide Cars), the statement is not supported.
The data for Admiral Autos shows greater variability.
To determine the variability, we can look at the range or consider the differences between each data point and the mean.
As we saw earlier, the range for Admiral Autos is 15, while for Countywide Cars, it is 8. Additionally, the data points for Admiral Autos are more spread out, with larger differences from the mean compared to Countywide Cars. Therefore, the statement is supported.
Based on the analysis, the statements supported by the data are:
The mean number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The data for Admiral Autos shows greater variability.
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WHAT IS X³-27 SIMPLIFIED
Answer:
It is (x - 3)³ - 9x(3 - x)
Step-by-step explanation:
Express 27 in terms of cubes, 27 = 3³:
\( = {x}^{3} - {3}^{3} \)
From trinomial expansion:
\( {(x - y)}^{3} = (x - y)(x - y)(x - y) \\ \)
open first two brackets to get a quadratic equation:
\( {(x - y)}^{3} = ( {x}^{2} - 2xy + {y}^{2} )(x - y)\)
expand further:
\( {(x - y)}^{3} = {x}^{3} - y {x}^{2} - 2y {x}^{2} + 2x {y}^{2} + x {y}^{2} - {y}^{3} \\ {(x - y)}^{3} = {x}^{3} - {y}^{3} + 3x {y}^{2} - 3y {x}^{2} \\ {(x - y)}^{3} = {x}^{3} - {y}^{3} + 3xy(y - x) \\ \\ { \boxed{( {x}^{3} - {y}^{3} ) = {(x - y)}^{3} - 3xy(y - x)}}\)
take y to be 3, then substitute:
\(( {x}^{3} - 3^3) = {(x - 3)}^{3} - 9x(3 - x)\)
graph f(x) = (x+2) (x-4)
Use the parabola tool then choose the vertex followed by one point on the parabola.
Answer:
The vertex of the parabola is at x = 3, and a point on the parabola can be (4, 0). Here is a Brainly link that can provide you with more information about graphing the function f(x) = (x+2) (x-4): https://brainly.com/question/31009433.
here are three different recipes for orangey- pineapple juice. Two of these mixtures taste the same and one tastes different.
Recipe 1: Mix 4 cups of orange juice with 6 cups of pineapple juice
Recipe 2: Mix 6 cups of orange with 9 cups of pineapple juice
Recipe 3: Mix 9 cups of orange with 12 cups of pineapple juice
Which two recipes will taste the same, and which one will taste different? Explain or show your reasoning
Answer:
recipe 1 and recipe 2 will taste the same while recipe 3 will taste different
Step-by-step explanation:
Let's look at the Mix ratio
for recipe 1 the mix ratio is 2:3
recipe 2 ratio is 2:3
and recipe 3 ratio is 3:4
What is the slope of the line that contains the points (8, 4) and (−4, 8)?
3
−3
one third
negative one third
Answer: negative one third
Answer:
-1/3
Explanation:
There's a formula that I'll use to find the slope - it's called the slope formula.
\(\sf{m=\dfrac{y_2-y_1}{x_2-x_1}}\)
Plug in the data:
\(\sf{m=\dfrac{8-4}{-4-8}}\\\\\sf{m=\dfrac{4}{-12}\)
Simplify:
\(\sf{m=-\dfrac{4}{12}}\)
\(\sf{m=-\dfrac{1}{3}}\)
Hence, the slope is negative one-third.