Answer:
120π cm³
Work is shown below.
Step-by-step explanation:
Hello!
Use the formula to find the volume of the cone, then subtract the volume of the cylinder from it.
Volume of the ConePlug in the values and solve for the volume.
\(V = \frac13 \pi r^2h\)\(V = \frac13 \pi(6^2)(14)\)\(V = \frac13(504)\pi\)\(V = 168\pi\)The volume of the cone in terms of pi is 168π cm³.
Volume of the CylinderFormula: \(V = \pi r^2h\)
Plug in the values and solve for the volume.
\(V = \pi r^2h\)\(V = \pi (4^2)(3)\)\(V = \pi (48)\)\(V = 48\pi\)The volume of the cylinder in terms of pi is 48π cm³.
Total Volume168π cm³ - 48π cm³120π cm³The total volume is 120π cm³.
a couple has four children. neither the father nor the mother is bald; one of the two sons is bald, but neither of the daughters is bald. (a) if one of the daughters marries a nonbald man and they have a son, what is the chance that the son will become bald as an adult? (b) if the couple has a daughter, what is the chance that she will become bald as an adult?
If one of the daughters marries a non-bald man and they have a son, the chance that the son will become bald as an adult is 0%
If the couple has a daughter, the chance that she will become bald as an adult is 0%
In the question, we have been given that the neither the father nor the mother is bald, and out of the four children only one son is bald, but the other son and the two daughters are not bald, now we solve the following:
Part a
A chance that the son will become bald as an adult:
If the daughter has no bald gene (XX), and she marries a non bald man then there is 0% chance that the son will become bald as an adult because neither the mom nor the dad has the baldness gene
Part b
The chance that she will become bald as an adult:
If the daughter having a bald gene (\(X^{b} X\)) marries a non bald (XY)man then also there is a 0% chance that the daughter will be bald as an adult. As the baldness is a recessive trait, for the daughter to be bald she needs to have two baldness gene( one from father and one from mother). And since this is not the case the daughter might have baldness gene but the phenotype will be non-bald.
Learn more about genetics here:
https://brainly.com/question/21768152
#SPJ4
Can anyone help w/ 16, 17, and 20?
The area of the rectangle will be 18a³b^6
The area of the circle will be 25x^6π
The area of the triangle will be 12a³c⁴
How to calculate the areaThe area of a shape simply means the total space that is taken by the shape. It simply expresses the extent of the region on a particular plane as well as a curved surface.
The area of the rectangle will be:
= Length × Width
= 6a²b⁴ × 3ab²
= 18a³b^6
The area of the circle will be:
= πr²
= π × (5x³)
= 25x^6π
The area of the triangle will be:
= 1/2 × base × height
= 1/2 × 4a²c × 6ac³
= 2a²c × 6ac³.
= 12a³c⁴
Learn more about area on:
brainly.com/question/25292087
#SPJ1
Consider the following function. f(x,y) = 5x4y³ + 3x²y + 4x + 5y Apply the power rule to this function for x. A. fx(x,y) = 20x³y³ +6xy+4
B. fx(x,y) = 15x⁴4y² + 3x² +5
C. fx(x,y)=20x⁴4y² +6x² +5
D. fx(x,y)= = 5x³y³ +3xy+4
To apply the power rule for differentiation to the function f(x, y) = 5x^4y^3 + 3x^2y + 4x + 5y, we differentiate each term with respect to x while treating y as a constant.
The power rule states that if we have a term of the form x^n, where n is a constant, then the derivative with respect to x is given by nx^(n-1).
Let's differentiate each term one by one:
For the term 5x^4y^3, the power rule gives us:
d/dx (5x^4y^3) = 20x^3y^3.
For the term 3x^2y, the power rule gives us:
d/dx (3x^2y) = 6xy.
For the term 4x, the power rule gives us:
d/dx (4x) = 4.
For the term 5y, y is a constant with respect to x, so its derivative is zero.
Putting it all together, we have:
fx(x, y) = 20x^3y^3 + 6xy + 4.
Therefore, the derivative of the function f(x, y) with respect to x is fx(x, y) = 20x^3y^3 + 6xy + 4.
Learn more about differentiation here:
https://brainly.com/question/31539041
#SPJ11
the terms that are opposite each other both across the equals sign and across the division symbol in a proportion is a?
Answer:
means and extremes
Step-by-step explanation:
For the middle school dance, the student council ordered 22 balloons printed with the school logo. On the night of the party, 6 of the balloons popped. Which problem below represents this scenario using the additive inverse
Ally's hotel room is on the 10th floor. She parked her car in the underground parking garage 3 floors below ground level. How many floors did Ally travel in the elevator to get from her car to her room?
Answer:
ANSWER FOR ONE IS 6
AND THE TWO IS:7
Help me
Math (use line plots to solve problems
The difference between the least amount of time and the greatest amount of time is 57 seconds.
What is fraction?A fraction is a number representing a part of a whole or a ratio between two numbers. It consists of a numerator (the number above the fraction line) and a denominator (the number below the fraction line), separated by a fraction bar. The numerator represents the part of the whole or the first number in the ratio, while the denominator represents the whole or the second number in the ratio. Fractions can be expressed in different forms such as proper fractions, improper fractions, mixed numbers, and decimals.
Here,
To make a line plot of the data, we first need to find the frequency of each value. Here is the frequency table:
Time (seconds) Frequency
4 3
5 4
6 3
41 3
42 2
51 1
52 1
61 1
5호 길 6 1
Note that the value "5호 길 6" means "5 minutes and 6 seconds" in Korean. We can convert this to seconds by multiplying 5 by 60 and adding 6, which gives us 306 seconds.
Using this frequency table, we can make a line plot by marking a dot above each value corresponding to its frequency. The line plot should look like this:
No, we do not agree. The difference between the least amount of time and the greatest amount of time is 61 - 4 = 57 seconds, not 4 seconds. We can see this by looking at the line plot and finding the smallest and largest values on the x-axis.
To know more about fraction,
https://brainly.com/question/24638688
#SPJ1
A rectangular garden will be fenced using 400 feet of fencing material. One side of the garden is partly covered by the barn and that part will not be fenced. If the barn is 50 feet long, what are the dimensions that will maximize the area of the garden? what is the largest possible area?.
The dimension of the max garden is 125*125 and the max area is 15625 square feet.
Let the length and width of the garden be L and B.
Now, let the barn is along the width. So, now the width became = B-50
So the perimeter = 2(L+B-50)
Now to fence the garden we need 400 feet material.
So, 2(L+B-50) = 400
L+B-50 = 200
B = 250-L .........(i)
So the area of the total garden is given by,
A = LB = L(250-L) \(=250L-L^2\)
So now differentiating the area with respect to length,
dA/dL = 250-2L
\(\frac{d^2A}{dL^2}=\) -2
Now, dA/dL = 0 gives,
250-2L = 0
2L = 250
L= 125
At L = 125, \(\frac{d^2A}{dL^2}=-2 < 0\)
Max A = \(250\times125-125^2=15625\) square feet
So area is maximum when L = 125 feet.
Then the width = B = 250-125 = 125 feet.
Hence the dimension of the max garden is 125*125 and the max area is 15625 square feet.
To know more about Dimension refer to:
https://brainly.com/question/26740257
#SPJ4
Leo buy a robot during the ale. If the original price wa $180, how much doe Leo pay?
Leo pays $135 for the robot after applying a 25% discount.
To calculate how much Leo pays for the robot after applying a 25% discount, we can use the following formula:
Amount paid = Original price - (Discount percentage × Original price)
Given that the original price of the robot is $180 and the discount percentage is 25% (0.25), we can substitute these values into the formula:
Amount paid = $180 - (0.25 × $180)
Calculating the expression:
Amount paid = $ 180 - ($45)
Amount paid = $ 135
Therefore, Leo pays $135 for the robot after applying a 25% discount.
To know more about discount click here:
https://brainly.com/question/28720582
#SPJ4
Complete question is :
Leo buy a robot during the sale at 25 % discount. If the original price was $180, how much doe Leo pay?
whats 14 4/10 - 13 1/3 ASAP
Answer:
1 1/15
Step-by-step explanation:
Answer:
16/15 or 1.06.. or 1 1/15
Step-by-step explanation:
:)
Helppp! Use the number line to determine the sum –7 + 2.
Answer: -5
Step-by-step explanation: When adding a regular number to a negative, you move to the right.
Have a blessed day! I hope you succeed :D
A grocery store sells a bag of 8 oranges for $4.24. What is the unit cost?
Answer:
0.53
Step-by-step explanation:
8/8 = 1
4.24/8 = 0.53
1/0.53 = 0.53
Answer: 0.53 :D
Answer:
I think its About 0.53 per orange. Sorry if my answer is wrong
Step-by-step explanation:
-4×(-2)[2×(-6)+3×(2×6-4-4)]
\(\large{\underline {\underline {\frak {SolutioN:-}}}}\)
➝ -4 × (-2) [2 × (-6)+ 3×(2×6-4-4) ]
➝ -4 × (-2) [2 × (-6) + 3 × (12-4-4) ]
➝ -4 × (-2) [2 × (-6) + 3 × (12-8) ]
➝ -4 × (-2) [2 × (-6) + 3 × (4) ]
➝ -4 × (-2) [2 × (-6) + 12 ]
➝ -4 × (-2) [(-12) + 12 ]
➝ -4 × (-2) [0]
➝ -4 × 0
➝ 0
Answer:
-4*-2
Step-by-step explanation:
the multiple of both side is 4*2*,26+*32*--=6 44
When a coordinate grid is superimposed on a map ofHarrisburg, the high school is located at (17, 21) and thetown park is located at (28, 13). If each unit represents1 mile, how many miles apart are the high school and thetown park? Round your answer to the nearest tenth.
To calculate the distance between the high school and the town park in Harrisburg, we can use the coordinates (17, 21) and (28, 13) on a coordinate grid.
By applying the distance formula, we can find the distance in miles by considering each unit on the grid as 1 mile. Rounding the answer to the nearest tenth will provide the final result.
The distance between two points on a coordinate grid can be found using the distance formula:
Distance = √[(x2 - x1)^2 + (y2 - y1)^2]
In this case, the coordinates of the high school are (17, 21), and the coordinates of the town park are (28, 13). By substituting these values into the distance formula, we can calculate the distance between the two points.
Distance = √[(28 - 17)^2 + (13 - 21)^2]
Distance = √[(11)^2 + (-8)^2]
Distance = √[121 + 64]
Distance = √185
Distance ≈ 13.6 miles (rounded to the nearest tenth)
Therefore, the high school and the town park in Harrisburg are approximately 13.6 miles apart.
Learn more about distance formula here:
https://brainly.com/question/32846365
#SPJ11
When 12 is added to half the sum of a number and 3 the result is 28. What is the number?
Answer:
29
Step-by-step explanation:
Two cars travel at the same speed to different destinations. Car A reaches its destination in 12 minutes. Car B reaches its destination in 18 minutes. Car B travels 4 miles farther than Car A. How fast do the cars travel? Write your answer as a fraction in simplest form.
Answer:
chatGPT
Step-by-step explanation:
Let's denote the speed of each car as v, and the distance that Car A travels as d. Then we can set up two equations based on the information given:
d = v * (12/60) (since Car A reaches its destination in 12 minutes)
d + 4 = v * (18/60) (since Car B travels 4 miles farther than Car A and reaches its destination in 18 minutes)
Simplifying the equations by multiplying both sides by 60 (to convert the minutes to hours) and canceling out v, we get:
12v = 60d
18v = 60d + 240
Subtracting the first equation from the second, we get:
6v = 240
Therefore:
v = 240/6 = 40
So the cars travel at a speed of 40 miles per hour.
PLEASE HELP I WILL GIVE 100 POINTS!
order the numbers from least to greatest pi, -3, sqrt 49 , sqrt 9
The order of the numbers from least to greatest (pi, -3, sqrt 49 , sqrt 9) is -3.00 < sqrt 9 < pi < sqrt 9
How can the number be arranged?The concept that will be used here is ordering. When you put a list of numbers in order, you rank them from least to greatest or greatest to least. An effective tool for comparing and sorting numbers is a number line. From left to right, we read a number line, with the numbers nearer to the left having lower values.
The given numbers can be converted to decimals so as to be able to arange them in the required order which can be done as :
pi= 3.147= 3.15
-3= -3.00
sqrt 49=7.00
sqrt 9 =3.00
Therefore,-3.00 < sqrt 9 < pi < sqrt 9
Learn more about order at:
https://brainly.com/question/26719078
#SPJ1
Given an equation as follows: \[ R \frac{d i}{d t}+L \frac{d^{2} i}{d t^{2}}+\frac{1}{C} i=\frac{d V}{d t} \] Convert the linear ODE to block diagram. Fill in the blank
Block diagram representation of R(di/dt) + L(d²i/dt²) + (1/C)i = dV/dt.
The given equation is R(di/dt)+L(d²i/dt²)+(1/C)i = dV/dt.
The block diagram is an essential tool in the analysis and design of dynamic systems. The blocks represent the interconnected subsystems of the system.
The interconnections and external inputs and outputs are shown by the connections between the blocks.The block diagram representation of the equation R(di/dt) + L(d²i/dt²) + (1/C)i = dV/dt is given below.
Therefore, the block diagram representation of the given equation is as follows:
Block diagram representation of R(di/dt) + L(d²i/dt²) + (1/C)i = dV/dt.
To know more about linear ODE, visit:
https://brainly.com/question/29191288
#SPJ11
Which system of equations has one solution? –5x – 10y = 24 5x 10y = 16 3x 4y = –7 –3x – 4y = 7 –12x 8y = 16 12x – 8y = 16 –2x 7y = –5 2x 7y = –9.
The system of equation that has one solution is: (d) –2x+ 7y = –5 and 2x +7y = –9
What are systems of equations?This is a group of equations which may have none, one or more solutions.
From the list of given options, the system of equations that has one solution is:
–2x+ 7y = –5 and 2x +7y = –9
This is so because, the solution is (-1,-1)
However, the other systems have infinite many solutions
Read more about system of equations at:
https://brainly.com/question/13729904
Answer:
D. -2x + 7y = -5 and 2x + 7y = -9
Step-by-step explanation:
Edge 2023
7. Which describes the range for a set of ordered pairs?
A the x-coordinates, or the inputs
B the x-coordinates, or the outputs
C the y-coordinates, or the inputs
D the y-coordinates, or the outputs
Answer:
D
Step-by-step explanation:
The range of the function is all possible y-values of an function or an output.
The total surface area of a cone whose radius is 2 r and slant height 2l is
(A) 2πr (l + r)
(B) πr (l + 4 r )
(C) πr (l + r)
(D) 2πrl
please answer urgent
Answer:
\(A=4\pi r(l+r)\)
Step-by-step explanation:
The total surface area of a cone is given by :
\(A=\pi rl+\pi r^2\\\\=\pi r(l+r)\)
Put r = 2r and l = 2l in the above formula
\(A=\pi \times 2r(2l+2r)\\\\A=2\pi r(2l+2r)\\\\=2\pi r \times 2(l+r)\\\\=4\pi r(l+r)\)
Hence, the total surface area of the cone is \(4\pi r(l+r)\).
which wifi standards use the 2.4ghz frequency
The standards that use 2.4 GHz are:
IEEE 802.11bIEEE 802.11gIEEE 802.11n (it uses both 2.4 GHz and 5 GHz)IEEE 802.11ax (it uses both 2.4 GHz and 5 GHz)What is a wifi standard?
A wifi standard defines two characteristics of the wi-fi network, which are speed and frequency.
Such that there are two common frequencies, 2.4 GHz (usually with larger speed) and 5 GHz (usually with lower speed)
The standards that use 2.4 GHz are:
IEEE 802.11bIEEE 802.11gIEEE 802.11n (it uses both 2.4 GHz and 5 GHz)IEEE 802.11ax (it uses both 2.4 GHz and 5 GHz)If you want to learn more about wifi:
https://brainly.com/question/6947486
#SPJ11
-help me write an equation!!!
The absolute value function for this problem is given as follows:
g(x) = |x - 1| - 2.
How to define the absolute value function?An absolute value function of vertex (h,k) is defined as follows:
y = a|x - h| + k.
In which a is the leading coefficient.
The coordinates of the vertex for this problem are given as follows:
(1, -2).
As the slope of the line is of 1, the leading coefficient is given as follows:
a = 1.
Hence the absolute value function for this problem is given as follows:
g(x) = |x - 1| - 2.
More can be learned about absolute value functions at brainly.com/question/3381225
#SPJ1
5x+3=x+11
x=?
(step by step, I am very not smart)
Answer:
x=2
Step-by-step explanation:
5x+3=x+11
5(2)+3=2+11
10+3 = 2+11
13=13
Therefore, x=2
(basically you just plug in random numbers and see if it gets you the same answer on both sides)
Hope this helps!!
the area of a circular trampoline is 112.07 square feet
The required answer is the approximately 5.98 feet.
The area of a circular trampoline is given as 112.07 square feet.
To find the radius of the trampoline,
area of a circle:
A = πr^2
where A is the area and r is the radius of the circle.
To find the radius,
r = √(A/π)
Substituting the given area, we have:
r = √(112.07/π)
Now, calculate the value of the radius using a calculator or estimation. the value of π to be approximately 3.14:
r = √(112.07/3.14)
r ≈ √(35.70675)
r ≈ 5.98
Therefore, the radius of the circular trampoline is approximately 5.98 feet.
To know about area of a circle. To click the link.
https://brainly.com/question/11952845.
#SPJ11
Do these side lengths make a right triangle? 6, 8, 10
Answer:
Yes
Step-by-step explanation:
\(6^{2}\) + \(8^{2}\) = \(10^{2}\)
36 + 64 = 100
The Pythagorean theorem is true.
what sample size should we select if we wish to develop a 90% confidence interval for the average diameter
The sample size required if we wish to develop a 90% confidence interval for the average diameter is more than 0.1 units.
To decide the test estimate required for a 90% certainty interim for the normal distance across, we have to know the taking after :
1. The level of certainty (which is 90% in this case).
2. The standard deviation of the populace (which we'll expect is known).
3. The margin of error (which is the greatest separation between the test cruel and the genuine populace cruel that we're willing to endure).
Assuming we know the standard deviation of the populace, ready to utilize the equation:
n = (z²* σ²) / E²
where:
n is the test measure
z is the z-score compared to the level of certainty (which is 1.645 for 90% certainty)
σ is the standard deviation of the populace
E is the edge of mistake
We ought to select esteem for E, which speaks to the most extreme separation between the test cruel and the genuine populace cruel(mean) that we're willing to endure.
For case, in the event that we need the interim to have a width of no more than 0.1 units, at that point we would select E = 0.1/2 = 0.05.
So, stopping within the values we know, we get:
n = (1.645² * σ²) / E²
In case we accept that the standard deviation of the populace is 0.5 units (fair as a case), at that point we get:
n = (1.645² * 0.5²) / 0.05²
n = 67.65
Adjusting up to the closest numbers, we would require a test estimate of 68 to create a 90% confidence interim for the normal breadth with an edge of blunder of no more than 0.1 units.
To know more about sample size refer to this :
https://brainly.com/question/30224379
#SPJ4
-30=5(x+1) what does x represent
Answer:
x=-7
Step-by-step explanation:
-30=5(x+1)
-30=5x+5
-30-5=5x
-35=5x
5 5
Write an expression for the sequence of operations described below.
Subtract three from the product of seven and eight
Type x if you want to use a multiplication sign. Type / if you want to use a division sign. Do not simplify any part of the expression.
An expression for the sequence of operations described "Subtract three from the product of seven and eight." is (7 × 8) - 3.
How to evaluate and solve the given expression?In order to evaluate and solve this expression, we would have to apply the PEMDAS rule, where mathematical operations within the parenthesis (grouping symbols) are first of all evaluated, followed by exponent, and then multiplication or division from the left side of the equation to the right. Lastly, the mathematical operations of addition or subtraction would be performed from left to right.
Based on the information provided, we have the following mathematical expression:
Expression: (7 × 8) - 3
56 - 3
53
Read more on expression here: brainly.com/question/16729936
#SPJ1
Quantitative Problem 1t You deposit \( \$ 2,300 \) into an account that pays \( 6 \% \) per year. Your plan is to withdraw this amount at the end of 5 years to use for a down payment on a new car. How
You will be able to withdraw approximately $3,076.32 at the end of 5 years.
To calculate the amount you will be able to withdraw at the end of 5 years, we can use the future value formula for compound interest.
The formula for calculating the future value (FV) of a present value (PV) invested at an annual interest rate (r) for a certain number of years (t) is:
\(FV = PV * (1 + r)^t\)
Given:
PV = $2,300
r = 6% = 0.06 (decimal representation)
t = 5 years
Substituting these values into the formula, we get:
FV = $2,300 * \((1 + 0.06)^5\)
Calculating the expression inside the parentheses:
\((1 + 0.06)^5 = 1.338225\)
Multiplying the present value by this factor:
FV = $2,300 * 1.338225
FV ≈ $3,076.32
Therefore, you will be able to withdraw approximately $3,076.32 at the end of 5 years.
Learn more about compound interest here:
https://brainly.com/question/14295570
#SPJ11
You deposit $2,300 into an account that pays 6% per year. Your plan is to withdraw this amount at the end of 5 years to use for a down payment on a new car. How much will you be able to withdraw at the end of 5 years? Do not round intermediate calculations. Round your answer to the nearest cent
Using the 100/50/20 Rule for daily fluid requirements (DFR). Calculate the following questions, do not round the patient's weight but round all final answers to a whole number. 1-10 kg = 100ml/kg/day 11-20 kg = 50ml/kg/day (+ 1000 mL/day for 1* 10kg) Over 20kg = 20mL/kg/day (1500 mL/day for 1s 20kg) 18. An infant weighs 11 pounds. What is the required amount of fluid per day in ml? I 19. A child weighs 31 lbs and 8 ozs. What is the required amount of fluid per day in ml? If no oral fluids are consumed, what is the hourly IV flow rate to maintain proper hydration?
18. An infant weighs 11 pounds which is equivalent to 4.98 kg. Using the 100/50/20 Rule, the required amount of fluid per day for an infant between 11-20 kg is 50 ml/kg/day. So, the required amount of fluid per day in ml is 4.98 kg x 50 ml/kg/day = 249 ml/day.
19. A child weighs 31lbs and 8 ozs which is equivalent to 14.21 kg. Using the 100/50/24 Rule, the required amount of fluid per day for a child over 20 kg is 20 ml/kg/day. So, the required amount of fluid per day in ml is 14.21 kg x 20 ml/kg/day = 284.2 ml/day.
If no oral fluids are consumed, the hourly IV flow rate to maintain proper hydration would be: 284.2 ml/day / 24 hours/day = 11.8 ml/hour.
Daily Fluid Requirements (DFR)The question is about fluid requirements for infants and children, and it is using the 100/50/20 Rule for Daily Fluid Requirements (DFR) to calculate the required amount of fluid per day for different weight ranges. The 100/50/20 Rule is a guideline used to determine the appropriate amount of fluid that infants and children should receive on a daily basis based on their weight. The rule states that for infants and children up to 10 kg, the recommended fluid intake is 100 ml/kg/day, for those between 11-20 kg it is 50 ml/kg/day, and for those over 20 kg it is 20 ml/kg/day.
The question also asking about the hourly IV flow rate to maintain proper hydration if no oral fluids are consumed.
This subject is part of pediatrics, more specifically in the field of fluid and electrolyte balance and management.
Learn more about Daily Fluid Requirements (DFR) here:
https://brainly.com/question/28334028
#SPJ4