A zorb is a large inflated ball within a ball. The formula for the radius r of a sphere with surface area A is given by requalsStartRoot StartFraction Upper A Over 4 pi EndFraction EndRoot . Calculate the radius of a zorb whose outside surface area is
Answers
Answer:
radius r of the zorb is ≅ 1.40 m
Step-by-step explanation:
GIven that;
the radius r of a sphere with surface area A is given by;
\(r = \sqrt{\dfrac {A}{4 \pi }}\) which is read as : (r equals StartRoot StartFraction Upper A Over 4 pi EndFraction EndRoot .)
We are to calculate the radius of a zorb whose outside surface area is 24.63 sq ( the missing part of the question)
Given that the outside surface area is : 24.63 sq
Let replace the value of the outside surface area which 24.63 sq for A in the equation given from above.
SO: A = 24.63 sq
\(r = \sqrt{\dfrac {A}{4 \pi }}\)
\(r = \sqrt{\dfrac {24.63}{4 \pi }}\)
\(r = \sqrt{1.9599}\)
r = 1.399
radius r of the zorb is ≅ 1.40 m
Related Questions
what are the transformations of the following 1) f(x)=3x2^x+4-1
2) f(x)=-1/2x5^x-2+6
3) g(x)=1/5log(x+5)+3
4) g(x)=-4log(x)-2
Answers
1. The functiοn \(f(x) = 3x2^x+4-1\)undergοes the fοllοwing transfοrmatiοns
A vertical translatiοn dοwnward by 1 unit (the \("-1\)" at the end)
An upward vertical stretch by a factοr οf 3 (the "3" cοefficient in frοnt)
An expοnential grοwth with base 2 (the expοnent "x" in the term \("2^x"\))
A hοrizοntal shift tο the left by 4 units (the "-4" in the expοnent οf \("2^x"\))
2. The functiοn \(f(x) = -1/2x5^x-2+6\) undergοes the fοllοwing transfοrmatiοns:
A vertical translatiοn upward by 6 units (the "+6" at the end)An upward vertical cοmpressiοn by a factοr οf 1/2 (the \("-1/2"\)cοefficient in frοnt)An expοnential grοwth with base 5 (the expοnent "x" in the term \("5^x\)")A hοrizοntal shift tο the left by 2 units (the\("-2"\) in the expοnent οf \("5^x\)")3. The functiοn \(g(x) = 1/5log(x+5)+3\) undergοes the fοllοwing transfοrmatiοns:
A vertical translatiοn upward by 3 units (the "+3" at the end)A hοrizοntal shift tο the left by 5 units (the "+5" inside the lοgarithm)A vertical stretch by a factοr οf 1/5 (the \("1/5"\) cοefficient in frοnt)4. The functiοn \(g(x) = -4log(x)-2\) undergοes the fοllοwing transfοrmatiοns:
A vertical translatiοn dοwnward by 2 units (the \("-2"\) at the end)A vertical cοmpressiοn by a factοr οf 4 (the\("-4"\) cοefficient in frοnt)A hοrizοntal shift tο the right (there is nο explicit shift, but the dοmain οf the functiοn is restricted tο\(x > 0\), which means the graph is shifted tο the right οf the y-axis)
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Find the area of the figure. Round to the nearest tenth, if necessary.
Answers
M = I1+I₂ 31 +32 2 Now let's substitute in our given values. (-2 , 2) = ((-5 Find 2 and y2 We will now set up two equations to solve for our two unknowns of x2 and y₂. (-5 X2 (-5+₂) -5+22), (7+)) 2 - +₂)/2 = We will first want to multiply by 2 on both sides and will get −5+₂= -4 Adding 5 to both sides we get = 7 This is the coordinate of point B. Now we will set up the equation to solve for y2 +y2)/2 =
Answers
The coordinates of point B are (-3, 17).
The given equation is M = I₁ + I₂ = 31 + 32.
Now let's substitute in our given values:
(-2, 2) = ((-5 + x₂) / 2, (-5 + 2 + y₂) / 2)
We will now set up two equations to solve for our two unknowns, x₂ and y₂:
Equation 1: (-5 + x₂) / 2 = -4
Multiply both sides by 2:
-5 + x₂ = -8
Add 5 to both sides:
x₂ = -3
This gives us the x-coordinate of point B.
Equation 2: (-5 + 2 + y₂) / 2 = 7
Simplify:
(-3 + y₂) / 2 = 7
Multiply both sides by 2:
-3 + y₂ = 14
Add 3 to both sides:
y₂ = 17
This gives us the y-coordinate of point B.
Therefore, the coordinates of point B are (-3, 17).
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Fill in the table using this function rule y= - 2x + 3
Answers
Step-by-step explanation:
you just have to put that value in place of x in the function.
don't be so lazy you a hole do it yourself
Given the set of all even integers between and including -18 to -6 , what is the probability of choosing a multiple of -6 from this set?1/93/74/9
Answers
TheseGiven the set: {-18, -16, -14, -12, -10, -8, -6}
This is 7 numbers
Multiplies of -6 are:
\(\begin{gathered} -6\times1=-6 \\ -6\times2=-12 \\ -6\times3=-18 \end{gathered}\)This is 3 numbers
Therefore, the probability is given by:
\(P=\frac{multiplies\text{ of }-6}{total\text{ set }}\)So:
\(P=\frac{3}{7}\)Answer: 3/7
Compute for the mean expenses of the XYZ Corporation given the following: Name Total Sales Total Expenses Quezon City 14,950.00 4,933.50 Caloocan City 18,290.00 6,035.70 Marikina City 37,200.00 12,276.00 Cebu City 18,900.00 6,237.00 Davao City 45,000.00 14,850.00 Mandaluyong City 23,000.00 7,590.00 Cavite 22,000.00 7,260.00 Laguna 21,000.00 6,930.00 Manila 66,000.00 21,780.00 Iloilo 34,000.00 11,220.00
Answers
The computed mean expenses of the XYZ Corporation based on the given information are 9,911.22.
What is the mean?The mean refers to the average value.
The mean is computed as the quotient that results from dividing the total value of the data set by the number of items in the set.
Name Total Sales Total Expenses
Quezon City 14,950.00 4,933.50
Caloocan City 18,290.00 6,035.70
Marikina City 37,200.00 12,276.00
Cebu City 18,900.00 6,237.00
Davao City 45,000.00 14,850.00
Mandaluyong City 23,000.00 7,590.00
Cavite 22,000.00 7,260.00
Laguna 21,000.00 6,930.00
Manila 66,000.00 21,780.00
Iloilo 34,000.00 11,220.00
Total 99,112.20
Mean Expenses = 9,911.22 (99,112.20 ÷ 10)
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For a period of time, an island’s population grows at a rate proportional to its population. If the growth rate is 4.5% per year and the current population is 1500, what will the population be 6 years from now
Answers
The population of the island with growth rate of 4.5% per year and the current population is 1500 is 1953 after 6 years.
How to solve an exponential function
Let y represent the population after x years.
Given that the growth rate is 4.5% per year and the current population is 1500.
Hence a = 1500, b = 100% + 4.5% = 104.5% = 1.045
y = 1500(1.045)ˣ
After 6 years:
y = 1500(1.045)⁶ = 1953
The population of the island with growth rate of 4.5% per year and the current population is 1500 is 1953 after 6 years.
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Please help me with this
Answers
The volume of rectangular prism is 90 unit³.
We can consider the 1 block = 1 unit.
Length of prism = 5 unit
width of prism = 6 unit
Height of prism = 3 unit
So, Volume of rectangular prism
= l w h
= 5 x 6 x 3
= 90 unit³
Thus, the volume of rectangular prism is 90 unit³.
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What two words describe the result set of a FULL OUTER JOIN minus the INNER JOIN result set in set theory parlance
Answers
Answer:
CROSS JOIN (/^\s*symmetric\s*difference\s*$/)
Step-by-step explanation:
Remember, in SQL (Structured Query Language) operations, we can use the CROSS JOIN function to take data from one row of a table in the database and join it with each row of another table.
In other words, the result of FULL OUTER JOIN minus the INNER JOIN of the data set would require a CROSS JOIN operation which would the two different rows into one row.
The members of the art club are making keychains that require 18 beads apiece. The art club adviser brought a bag with 250 beads for them to use.
Answers
they can make 14 Keychains
Adrian bought a jacket that costs 11 dollars and a scarf that costs 15 dollars. At the counter, he received a discount. If he only paid 22 dollars total, how many dollars was the discount?
Answers
There was 4 dollar of discount on the total amount.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.
We are given that Adrian bought a jacket that costs 11 dollars and a scarf that costs 15 dollars.
At the counter, he received a discount. If he only paid 22 dollars total, then
Total cost 11 + 15 = 26
But 26 - 22 = 4
Therefore, the discount was 4 dollar.
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A pension fund manager is considering three mutual funds The first is a stock fund, the second is a long-term government and corporate bond fund, and the third is a T-bill money market fund that yields a sure rate of 5.3%. The probability distributions of the risky funds are:Expected Return Standard DeviationStock fund (S) 14% 43%Bond fund (B) 7% 37%The correlation between the fund returns is .0459What is the reward-to-volatility ratio of the best feasible CAL?
Answers
For the correlation between the fund returns is .0459, the reward-to-volatility ratio of the best feasible CAL is equals to 0.1621 or 16.21%.
A probability distribution is helps to determine the future what frequency distribution is to the past. Standard deviation is used in the concept of risk of portfolio of investment. Risk refer to the dispersion of a probability distribution.
Stock fund (S) Bond fund (B)
Expected Return 14% 7%
Standard Deviation 43% 37%
Risk-free returns , Rf = 5.3%
Correlation coefficient = 0.459
Covariance : 0.459 = COV(s,b)/0.43×0.37
Covariance = 0.073
Stock Fund =( (σB)²− σS× σB× correationco, SandB)/((σS)²(σB)² - 2 × σS× σB× correationco, SandB)
= ((0.37)²− 0.43× 0.37× 0.0459) /((0.43)²(0.37)² −2× 0.43× 0.37× 0.0459)
Weight of S = 42.18%
Weight of B = 1 - 42.18 = 57.82%
Expected Return of the portfolio (Rp) = WS× E(RS) + WB × E(RB) = 42.18 × 14% + 57.82 × 7%
= 5.90 + 4.05 = 9.95
Standard Deviation of the portfolio (SDp)
= (WS²SD² + WB²× lSD²+ 2WS WBCov(S,B))1/2
= 28.68
Reward to volatility = (Expected return - Rf) / SD of Portfolio
= (9.95- 5.3) / 28.68
=0.1621
Hence, the required volatility is 0.1621 or 16.21%.
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Simplify each expression. Write your answer as a complex number.
4i+(2+8i)
(2-7i) - (5-3i)
(5-4i)+(2-7i)
(-3-4i) - (-3+5i
Answers
Answer:
1. 2 + 12i
2. -3 - 4i
3. 7 - 11i
4. -9i
Step-by-step explanation:
just add and subtract like 'i' is a variable and make sure the answer is in the form a+bi
3/4 and 1/6 find the least common denominator
Answers
Answer: 12 is the least common denominator
Step-by-step explanation:
The least common denominator is the greatest multiple that the two denominators share.
So find the multiples of 4 and 6.
LCM of 4. is 4 ,8 ,12,16,20,24, 28,32,
LCM of 6 is 6,12,18,24,30,36, 42,48
The first multiple that they share is 12
Miguel borrowed $1,800 for 2 years and ended up paying $180 in simple interest what was the interest rate
Answers
Answer: 103.534%
I used a calculator and everything
The vertices of a rectangle in the coordinate plane are located at (4, -3), (4,5), (-5,5), and (-5, -3).
Answers
ξ = {numbers between 3 and 19}
P {3,4,5,67,8,10,11,12,16}
Q {3,5,6,7,9,10,12,13,17,18}
Find n(Q')
Answers
The number of elements in the Q complement set, n(Q') is 7
Sets : Calculating the number of elements in a setFrom the question, we are to determine the number of elements that are in the given set.
To find n(Q'),
First, we will determine the elements in Q'
NOTE: Q' means Q complement, that is, the elements that are present in the universal set but not in Q
The universal set is
ξ = {numbers between 3 and 19}
That is,
ξ = {3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19}
From the given information,
Q = {3, 5, 6, 7, 9, 10, 12, 13, 17, 18}
Therefore,
Q' = {4, 8, 11, 14, 15, 16, 19}
The value of n(Q') is the number of elements in the q' set
That is,
n(Q') = 7
Hence, n(Q') = 7
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Click the picture
Giving brainlist
Answers
Answer:
5
The value of y is also 5!
The value of pair (x,y) is (5,5)
Hopefully this helped! :D
-LavenderVye
Evaluate the following expression using the values given.
Find 2x2 - 2z4 + y2 - x2 + z4 if x = -4, y = 3, and z = 2. (1 point)
Answers
4-2X2X4+3X2-(-4)2+2(4)
4-2X2X4+3X2-(-8)+2(4)
4-2X2X4+3X2+8+8
4-2X2X4+6+16
4-16+6+16
4+6-16+16
=10
what is the parallelogram base b?
Answers
Answer:
10
Step-by-step explanation:
The area if a parallelogram is given by the equation, Area = base * height
In this case, area = 200, and the actual height = 20
So, let's say the base is x
Plug these values in to the Area equation
200 = 20 * x
200 = 20x
Divide both sides by 20 to get x alone
200 / 20 = 20x / 20
10 = x
The base is 10
Trig question for a test prep assignment ungraded before the final
Answers
According to the solving the angular speed of the wheel in radius per minutes would be:
100.
The correct option is 3.
What is angular velocity?angular velocity is the rate at which an item rotates or revolves around an axis, or the pace that the angular displacement among two bodies varies. This displacement is shown in the diagram by the angle formed by a line with one body and a line on the opposite body.
What is the formula for calculating angular velocity?Angular velocity is defined as the rate of change of an object's position angle with respect to time, therefore w = theta / t, where w denotes angular velocity, theta denotes position angle, and t denotes time.
What are the definitions of angular instantaneous velocity?The angular speed of a rotating object is a scalar measurement. The angular velocity of a rotating object is measured as a vector. Only the magnitude of angular speed is specified. The magnitude and direction of angular velocity are specified.
According to the given:Radius of the wheel = 2ft
velocity of the wheel = 200 ft/min
We know that the formula of Angular velocity:
ω = ν/r
ω = output
ν = liner velocity
r = path radius
Substituting the value in the formula:
ω = ν/r
ω = 200/2
= 100
According to the solving the angular speed of the wheel in radius per minutes would be:
100.
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Eleven seconds after a deep sea diver jumps into the ocean he is 69 feet below sea level and 28 seconds later, he is195 feet below sea level. If he is descending under water at a constant rate, how many feet below sea level will hebe 1.5 minutes after his initial descent
Answers
Answer: \(405.7\ ft\)
Step-by-step explanation:
Given
After 11 sec, diver is 69 feet below sea level
after 28 s , it is 195 feet
rate of traveling
\(\Rightarrow u=\dfrac{195-69}{28}\\\\\Rightarrow u=4.53\ ft/s\)
after 1.5 minutes, that is 90 s, diver must have traveled
\(\Rightarrow d=4.53\times 90\\\Rightarrow d=407.7\ ft\)
Answer:
7299 feet
Step-by-step explanation:
At 11 second the depth is 69 feet
At 28 seconds the depth is 195 feet
Let the initial velocity at the time t = 0 is u.
Use second equation of motion
\(s = u t +0.5 at^2\\\\69 =11 u + 0.5 a\times 11\times 11\\\\69 = 11 u + 60.5 a..... (1)\\\\195 = u (28 -11) +0.5 a\times (28-11)^2\\\\195 = 17 u + 144.5 a .....(2)\)
By soling (1) and (2)
a = 1.73 m/s^2, u = 3.25 m/s
So, the distance in 1.5 minutes is
h = 3.25 x 1.5 x 60 + 0.5 x 1.73 x 1.5 x 1.5 x 60 x 60
h = 292.5 + 7006.5 = 7299 ft
Which point is closest to the y-axis?
(10, 15)
(5, 12)
(9, 11)
(-4, 14)
Answers
Evaluate 2 to the ninth power. Help plz
Answers
2^9 = 2 x 2 x2 x 2 x 2 x 2 x2 x 2 x 2 = 512
2 ^9 = 512
Mr. Lock bought 6 quarts of oil for his car. He spent $16.02. How much was each quart of oil?
Answers
Answer:
2.67
Step-by-step explanation:
To solve this problem do 16.02 / 6.
I hope this answer helps you out! Brainliest woudl be appreciated.julie asked her friends how many hours per week they read for fun. she got the following answers: 1/2, 1/2, 2 1/2, 4 1/2, 7, and 12. what is the median amount of time julies friend spend reacding each week?
Answers
The median amount of time Julie's friends spend reading each week is 3 1/2 hours, which is the average of the two middle values when the given values are arranged in order.
To find the median value, we first need to put the given values in order from smallest to largest. The given values are: 1/2, 1/2, 2 1/2, 4 1/2, 7, and 12. When we arrange them in order, we get:
1/2, 1/2, 2 1/2, 4 1/2, 7, 12
The median is the middle value of the ordered list. If there is an odd number of values, the median is simply the middle value. However, in this case, we have an even number of values. Therefore, we take the average of the two middle values to find the median. The two middle values are 2 1/2 and 4 1/2. So, the median is:
(2 1/2 + 4 1/2)/2 = 3 1/2
This means that half of Julie's friends read for more than 3 1/2 hours per week and half of them read for less than 3 1/2 hours per week.
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I need help with number 9, please.
Answers
8. The center and radius of the circle given the following equation:
(x + 4)^2 + (y - 2) ^ 2 = 5 is
c. center (-4, 2) radius: 59. The equation for the circle is
a. (x + 5)^2 + (y + 2)^2 = 910. The length of arc AB is
b. 4πHow to determine the equation the circleInformation given in the question
a circle whose equation is (x + 4)^2 + (y - 2) ^ 2 = 5
Equation of a circle is given as:
(x - h)² + (y - k)² = r²
Where
r = radius
h and k are coordinates of the center
x and y is the coordinate of point on the circumference
The equation of the circle is compared with the given equation and this shows that
center (-4, 2) radius: 5Using the graph the centers are (-5, -2) and the radius is 3, this will give equation (x + 5)² + (y + 2)² = 3²
If angle ACB = 60 deg and the radius is 12 cm, length of arc
= 60 / 360 * 2 * π * 12
= 4π
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how many ft is equal to 1.66m
Answers
Answer:
5.44 meters
Step-by-step explanation:
We Know
0.3048 meter = 1 ft
How many ft makes a height of 1.66m?
We Take
1.66 ÷ 0.3048 ≈ 5.44 meters
So, the answer is 5.44 meters.
The perimeter of a square is 48 inches. What are its dimensions.
Answers
Answer: 192 cm
Step-by-step explanation:
Answer:
144 square inches
Step-by-step explanation:
the perimeter of a square means that all sides are equal. 48 divided by 4 = 12
They are as equal to the sides times each other 12 x 12=144
a) What is the area of the top face of this
cuboid?
b) What is the area of the bottom face of
this cuboid?
4 cm
9 cm
7 cm
Answers
The area of both the top face and the bottom face of the cuboid is 63 square centimeters (cm²).
To find the area of each face of the cuboid, we'll use the formulas for finding the area of a rectangle (which is the shape of each face of the cuboid).
Given dimensions:
Length (L) = 9 cm
Width (W) = 7 cm
Height (H) = 4 cm
a) Area of the top face of the cuboid:
The top face is a rectangle with dimensions 9 cm (length) and 7 cm (width).
Area = Length × Width
Area = 9 cm × 7 cm
Area = 63 square centimeters (cm²)
b) Area of the bottom face of the cuboid:
The bottom face is also a rectangle with dimensions 9 cm (length) and 7 cm (width).
Area = Length × Width
Area = 9 cm × 7 cm
Area = 63 square centimeters (cm²)
Therefore, the area of both the top face and the bottom face of the cuboid is 63 square centimeters (cm²).
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