I’ll mark!! Asap-help!!
Mike created a cone that has a volume of 50.24 ft and a height of 3 feet. Find the
radius of this cone.
A) 4
B) 6.5
C) 8
D) not here
Answers
Because it just is
Related Questions
what is the mean of 0,4,2,0,3,2,1,0,0,8
Answers
Answer:
2
Step-by-step explanation:
To find the mean of a set of numbers, you add up all the values and then divide the sum by the total number of values.
For the set of numbers 0, 4, 2, 0, 3, 2, 1, 0, 0, 8:
Sum = 0 + 4 + 2 + 0 + 3 + 2 + 1 + 0 + 0 + 8 = 20
Total number of values = 10
Mean = Sum / Total number of values = 20 / 10 = 2
Therefore, the mean of the given set of numbers is 2.
Answer:
2
Step-by-step explanation:
Add all of the numbers.
0 + 4 + 2 + 0 + 3 + 2 + 1 + 0 + 0 + 8 = 20
Divide the total (20) by how many numbers you added up (10).
20/10 = 2
Students arrive at a professor's office every 20 minutes during final exam week according to a Poisson distribution. What is the probability that the professor's one hour afternoon nap will not be disrupted by any student arrivals?
A) 0.00
B) 0.05
C) 0.15
D) 0.45
Answers
We need to find the probability that no students arrive during the professor's one-hour nap using the Poisson distribution. In this case, the average arrival rate (λ) is 3 students per hour (60 minutes / 20 minutes per student).
The probability mass function (PMF) for the Poisson distribution is given by:
P(X=k) = (e^(-λ) * λ^k) / k!
For k=0 (no student arrivals):
P(X=0) = (e^(-3) * 3^0) / 0!
P(X=0) = (e^(-3) * 1) / 1
P(X=0) ≈ 0.05
So the probability that the professor's nap will not be disrupted by any student arrivals is 0.05, which corresponds to option B.
Learn more about Poisson distribution here:
https://brainly.com/question/17280826
#SPJ11
Determine if the statements below are true or Ialseยท ari explain your reasoning. (a) If a fair coin is tossed many times and the last eight tosses are all heads, then the chance that the next toss will be heads is somewhat less than 50%. cards are mutually exclusive events events (b) Drawing a face card (jack, queen, or king) and rawing a red card from a full deck of playing
Answers
(a) This statement is false. The probability of getting heads or tails on a fair coin is always 50%, regardless of previous outcomes.
(b) This statement is true. Drawing a face card and drawing a red card from a full deck of playing cards are mutually exclusive events.
(a) The statement is false. The outcome of each coin toss is independent of the previous tosses. Therefore, the chance of getting heads on the next toss is still 50%, regardless of the outcome of the previous eight tosses.
(b) The events of drawing a face card and drawing a red card are not mutually exclusive events. There are 12 face cards in a deck of playing cards, and 6 of them are red (2 jacks, 2 queens, and 2 kings). Therefore, the probability of drawing a face card and a red card from a full deck of playing cards is:
P(face card and red card) = P(face card) x P(red card|face card)
P(face card and red card) = (12/52) x (6/12)
P(face card and red card) = 3/52 or about 5.77%
To learn more about probability visit;
https://brainly.com/question/30034780
#SPJ11
I need help on this
Answers
any one is good at math can help :(
Answers
1. 1/50, or 1 megabyte per 50 seconds
2. -5/2, or -5 dollars per 2 months
Explanation:
To find slope, we can use the slope formula:
m = (y2 - y1)/(x2 - x1)
M represents the slope, (x1, y1) represent the coordinates of a point on the line, and (x2, y2) represent the coordinates of another point on the line. The points you pick don’t matter as long as they’re different.
For the first graph, I’ll pick (150, 3) and (100, 2).
m = (2 - 3)/(100 - 150)
m = -1/-50
m = 1/50
From the x and y axis, I can determine the units: megabytes per seconds. The answer becomes 1 megabyte per 50 seconds.
The second graph will have the same process. Since the line is pointing downward, I already know that the slope will be negative. I can plug the pre-chosen points, (10, 5) and (4, 20), into the slope formula.
m = (20 - 5)/(4 - 10)
m = 15/-6 or -5/2
The answer becomes -5 dollars per 2 months.
I hope this was helpful!
work out the difference between 20% of 90 and 3/7 of 49
Answers
Answer:
sure
Step-by-step explanation:
drey makes 10$ an hour plus 15$ an hour for every hour of overtime . overtime hours are any hours more than 40 hours for the week
Answers
Part a.$10 x 40 hours= $400 ($10x=W) X= 40 hours a week
Part b. $10 x 40 hours= $400 + $15 x Y=S ($10x=$400 +$15y=S) Y= number of hours overtime. Since he gets $15 for working more then 40 hours you take the number of hours over time and multiply it by 15.
Part c. Okay so knowing that he made $490 in 1 week you know that he worked for 40 hours at a rate of $10 an hour. But that's only $400 so we need to figure out 15 times what is equal to 90. 15 times 6 is equal to 90 which means that Drey worked for 46 hours
i hope this helps you good luck :)
Please please help
17 A right-angled triangle has base 60 cm and height 80 cm. A rectangle is inscribed in the triangle, so that
one of its sides lies along the base of the triangle.
a Let the rectangle have length y cm and height x cm. By using similar triangles, show that
y = (80 - x).
I
b Hence find the dimensions of the rectangle of maximum area.
18 A coal chute is built in the shape of an upturned cone. The sum of the base radius r and the height h is
12 metres.
a Show that the volume V of the coal chute is given by V = 4r²r³. (Recall that the volume
of a cone is given by V = r²h.)
b
Find the radius of the cone that yields the maximum volume.
Answers
Answer:
17.a) See below.
17.b) x = 34.3 cm, y = 34.3 cm
18.a) See below.
18.b) r = 8 m
Step-by-step explanation:
Question 17Given information (see attachment 1):
A right-angled triangle has base 60 cm and height 80 cm. A rectangle is inscribed in the triangle, so that one of its sides lies along the base of the triangle.Let the rectangle have length y cm and height x cm. Part (a)According to the Similar Triangles Side Splitter Theorem, if a line parallel to one side of a triangle intersects the other two sides, then this line divides those two sides proportionally. Therefore, triangles ABC and ADE are similar (refer to attachment 1).
As corresponding sides of similar triangles are always in the same ratio, the ratio of the base to height of the smallest triangle is equal to the ratio of the base to height of the largest triangle:
\(\implies \sf DE:AD=BC:AB\)
\(\implies y:80-x=60:80\)
\(\implies \dfrac{y}{80-x}=\dfrac{60}{80}\)
\(\implies 80y=60(80-x)\)
\(\implies y=\dfrac{60(80-x)}{80}\)
\(\implies y=\dfrac{3(80-x)}{4}\)
Part (b)The maximum area of a rectangle is when the length and height are equal:
\(\implies x=y\)
Therefore, to find the value of x when the area of the rectangle is at its maximum, substitute x = y into the equation from part (a) and solve for x:
\(\implies x=\dfrac{3(80-x)}{4}\)
\(\implies 4x=3(80-x)\)
\(\implies 4x=240-3x\)
\(\implies 7x=240\)
\(\implies x=\dfrac{240}{7}\)
\(\implies x=34.3\; \sf cm\;\;(nearest\;tenth)\)
Therefore, the dimensions of the rectangle of maximum area to the nearest tenth are:
x = 34.3 cmy = 34.3 cm--------------------------------------------------------------------------------------------
Question 18Given information:
A coal chute is built in the shape of an upturned cone. The sum of the base radius r and the height h is 12 metres.Part (a)The formula for the volume of a cone is:
\(V=\dfrac{\pi r^2 h}{3}\)
If the sum of the base radius r and the height h is 12 metres then:
\(\implies r + h = 12\)
\(\implies h=12-r\)
Substitute the expression for h into the volume of a cone formula to create an equation for V in terms of r:
\(\implies V=\dfrac{\pi r^2 (12-r)}{3}\)
\(\implies V=\dfrac{12\pi r^2-\pi r^3}{3}\)
\(\implies V=\dfrac{12\pi r^2}{3}-\dfrac{\pi r^3}{3}\)
\(\implies V=4\pi r^2-\dfrac{1}{3}\pi r^3\)
Part (b)To find the radius of the cone that yields the maximum volume, differentiate V with respect to x:
\(\implies \dfrac{\text{d}V}{\text{d}x}=2 \cdot 4\pi r^{2-1}-3 \cdot \dfrac{1}{3}\pi r^{3-1}\)
\(\implies \dfrac{\text{d}V}{\text{d}x}=8\pi r-\pi r^2\)
\(\implies \dfrac{\text{d}V}{\text{d}x}=\pi r(8-r)\)
Set the differentiated equation equal to zero and solve for x:
\(\implies \pi r(8-r)=0\)
\(\implies 8-r=0\)
\(\implies r=8\)
(Note: r is also equal to zero, but we can discard that solution since the radius has to be more than zero).
Therefore, the radius of the cone that yields the maximum volume is 8 m.
Please answer with some work shown!
- Kirstin is decorating her bedroom wall with photographs.
She has 36 photographs of family and 28 photographs of friends.
She wants to arrange the photographs in rows so that each row
has the same number of photographs, and photographs of family
and photographs of friends do not appear in the same row.
a. How many rows will there be if Kirstin puts the greatest possible
number of photographs in each row?
b. How many photographs will be in each row?
Answers
Answer:
there will be 8 rows
the number of photographs in each row is 8
Calculate the degree of the interior angle of a regular polygon with 45 sides.
Answers
Answer:
1080°
Step-by-step explanation:
hope it's helpful
"
1. What is the enthalpy of formation D values for each of the
following:
MgO(s) Mg(s)
H2(g)
O2(g)
H2O(l) 2. Write the thermochemical equation
for the enthalpy of combustion of hydrogen.
Answers
The thermochemical equation for the enthalpy of combustion of hydrogen is:
2H2(g) + O2(g) -> 2H2O(l)
In this equation, two moles of hydrogen gas (H2) react with one mole of oxygen gas (O2) to produce two moles of liquid water (H2O). The enthalpy change, or heat of combustion, can be calculated by subtracting the enthalpy of the reactants from the enthalpy of the products.
The enthalpy of combustion of hydrogen can be determined experimentally by measuring the amount of heat released when hydrogen is burned in the presence of oxygen. This value is typically expressed in units of energy per mole (e.g. kJ/mol).
It is important to note that the enthalpy of combustion can vary depending on the conditions under which the reaction takes place, such as temperature and pressure. Additionally, the enthalpy of combustion is a thermodynamic property that represents the energy released or absorbed during a chemical reaction.
Know more about thermochemical equation here:
https://brainly.com/question/10384873
#SPJ11
A dependent variable is the variable that we wish to predict or explain in a regression model. True False
Answers
True. In a regression model, the dependent variable is the variable that we aim to predict or explain using one or more independent variables.
In a regression model, the dependent variable is indeed the variable that we aim to predict or explain. It represents the outcome or response variable that we are interested in understanding or analyzing. The purpose of the regression analysis is to examine the relationship between this dependent variable and one or more independent variables. By identifying and quantifying the influence of the independent variables on the dependent variable, regression analysis allows us to make predictions or explanations about the behavior or value of the dependent variable.
The regression model estimates the relationship between the variables based on observed data and uses this information to infer how changes in the independent variables impact the dependent variable.
To learn more about variable , click here:
brainly.com/question/29583350
#SPJ1
Discuss the actual application of sampling and aliasing in your field of specialization.
Answers
Sampling and aliasing are fundamental concepts in the field of signal processing, with significant applications across various domains. Sampling refers to the process of converting continuous-time signals into discrete-time signals, while aliasing occurs when the sampled signal does not accurately represent the original continuous signal.
In my field of specialization, which is signal processing, sampling plays a crucial role in data acquisition and analysis. For example, in audio processing, analog audio signals are sampled at regular intervals to create a digital representation of the sound. This digitized signal can then be processed, stored, and transmitted efficiently. Similarly, in image processing, continuous images are sampled to create discrete pixel values, enabling various manipulations such as filtering, compression, and enhancement.
However, the process of sampling introduces the possibility of aliasing. Aliasing occurs when the sampling rate is insufficient to capture the high-frequency components of the signal accurately. As a result, these high-frequency components appear as lower-frequency components in the sampled signal, leading to distortion and loss of information. To avoid aliasing, it is essential to satisfy the Nyquist-Shannon sampling theorem, which states that the sampling rate should be at least twice the highest frequency component present in the signal.
In summary, sampling and aliasing are critical concepts in signal processing. Sampling enables the conversion of continuous signals into discrete representations, facilitating various signal processing tasks. However, care must be taken to avoid aliasing by ensuring an adequate sampling rate relative to the highest frequency components of the signal.
To learn more about domains refer:
https://brainly.com/question/30323758
#SPJ11
Required information A committee is formed consisting of one representative from each of the 50 states in the United States, where the representative from a state is elther the governor or one of the two senators from that state. Which rule must be used to find the number of ways to form this committee? Multiple Choice The subtraction rule The division rule The sum rule be The product rule
Answers
The product rule must be used to find the number of ways to form this committee.
To find the number of ways to form a committee consisting of one representative from each of the 50 states in the United States, where the representative from a state is either the governor or one of the two senators from that state, we must use the product rule. This is because for each state, there are three choices (governor or one of the two senators), and these choices are made independently for all 50 states.
So, you simply multiply the number of choices for each state together:
3 choices per state × 50 states = 3⁵⁰ possible ways to form the committee.
To learn more about product: https://brainly.com/question/28457639
#SPJ11
Ryan has a points card for a movie theater. He receives 85 rewards points just for signing up. He earns 7.5 points for each visit to the movie theater. He needs 160 points for a free movie ticket. Write and solve an equation which can be used to determine vv, the number of visits Ryan must make to earn a free movie ticket.
Answers
Answer:
85+7.5v=160
7.5v=160-85
7.5v=75
V=75/7.5
V=10
Ryan would need to take 10 visits to get a free ticket.
Graph 3x + y = – 1.
Answers
Answer:
(0, - 1). thats the answer
I need help with this please :)
Answers
Answer: 0_0 I have nooo idea..... I'm so sorry that I can't help you I seriously have noooo idea lol.
Step-by-step explanation:
The equations of three lines are given below.Line 1: y= -2x+6Line 2: y=1/2x+3Line 3: 2x+ 4y = 8For each pair of lines, determine whether they are parallel, perpendicular, or neither.
Answers
we have the following set of equations,
\(\begin{gathered} 1)y=-2x+6 \\ 2)y=\frac{1}{2}x+3 \\ 3)2x+4y=8 \end{gathered}\)We need them in slope-intercept form, therefore,
Line 1)
\(y=-2x+6\)Line 2)
\(y=\frac{1}{2}x+3\)Line 3)
\(\begin{gathered} 2x+4y=8 \\ 4y=-2x+8 \\ y=-\frac{2}{4}x+\frac{8}{4} \\ y=-\frac{1}{2}x+2 \end{gathered}\)Perpendicular lines have slopes that are negative reciprocals of one another
Notice that the slope of Line 1, m1= -2, is the negative reciprocal of the slop of Line 2, m2= 1/2
Line 3 in not parallel, nor perpendicular to any line
Answer: Line 1 and Line 2 are perpendicular, but Line 3 is neither parallel nor perpendicular to any one.
Two parallel runways at an airport are intersected by another runway as shown. Find m∠5 and m∠8 if m∠3=118°
Answers
The value of angle 5 and angle 8 will be 118° and 62° respectively.
How to calculate the angleParallel lines are lines that are always the same distance apart and never intersect. In other words, they have the same slope and will never meet or cross each other. The symbol for parallel is ||.
For example, in the Cartesian coordinate system, the equation of a straight line is represented as y = mx + b, where m is the slope of the line and b is the y-intercept. If two lines have the same slope, they are parallel.
The value of angle 5 will be 118. Angle 8 will be:
= 180 - 118
= 62°
Learn more about parallel lines on
https://brainly.com/question/24607467
#SPJ1
Identify the slope from the equation: y = 13x-5
Answers
the given expression is'
y = 13x - 5
compare this equation with the standard equation
y = mx + c
here m is slope
so m = 13
thus, the slope of the equation is m = 13
3 divded by ( 5x6) / ( 3x6 ) divded by 5
Answers
Answer: 0.00111111111
Step-by-step explanation:
Answer:
(5x6) / (3x6) : 5 = 1/900 ≅ 0.01111111
6 = x + 2/3
Show your work please;w;
Answers
Answer:
x = 5 1/3
Step-by-step explanation:
6 = x + 2/3
-2/3 -2/3
5 1/3 = x
Answer:
\(\boxed {x = \frac{16}{3}}\)
Step-by-step explanation:
Solve for the value of \(x\):
\(6 = x + \frac{2}{3}\)
-Switch sides:
\(6 = x + \frac{2}{3}\)
\(x + \frac{2}{3} = 6\)
-Subtract \(\frac{2}{3}\) to both sides and convert 6 to a fraction:
\(x + \frac{2}{3} - \frac{2}{3}= 6 - \frac{2}{3}\)
\(x = \frac{18}{3} - \frac{2}{3}\)
-Since both fractions have the same denominator, then you subtract the numerators:
\(x = \frac{18 - 2}{3}\)
\(\boxed {x = \frac{16}{3}}\)
Therefore, the value of \(x\) is \(\frac{16}{3}\).
The ratio of the side lengths of a triangle is 3:4:5, and it’s perimeter is 72cm . What is the length of the longest side of the triangle?
Answers
Answer:
30 cm
Hope you could understand.
If you have any query, feel free to ask.
let; sides be 3x, 4x and 5x.
according to the question,
perimeter=72 cm
now,
perimeter=sum of each sides
72=3x +4x + 5x
72=12x
x=72 / 12
x=6 cm
then,
longest side of triangle= 5x
5x=5*6
=30 cm.
93 x 65 is it 10,230
Answers
Answer:
6045
Step-by-step explanation:
nope it's 93x65= 6045
Answer:
6045
Step-by-step explanation:
Is 12345 divisible by 3?
Answers
Yes it is divisible by 3. A number is fully divisible by three if its digit sum is also divisible by three, according to the rule of divisibility for three.
what is divisibility test?The divisibility rule is a concise and practical approach to check, often by looking at the integer's digits, whether a given integer is divisible by a given set divisor without actually executing division. Without actually doing the division procedure, you may quickly discover if a given number can be divided by a defined divisor using the divisibility test. When dividing two numbers exactly, the quotient must be an integer and the remainder must be zero.
here
add all the numbers,
1 + 2+ 3 + 4+ 5 = 15
and 15/3 = 5
so it is divisible by 3
To know more about divisibility test visit:
https://brainly.com/question/240581
#SPj4
Write the equation of the line; with the given properties, in slope-intercept form. Slope=-5 through (-5, 5) Could you explain I don’t understand please.
Answers
The equation of the line;
\(y=-5x-20\)Problem statement
Write the equation of the line; with the given properties, in slope-intercept form.
Slope (m)= -5 through (-5, 5)
Solution
The slope-intercept form of a line is y = mx + b, where m is the slope and b is the
y-intercept.
\(\begin{gathered} y=mx+b \\ y=-5x+b \end{gathered}\)Since (-5, 5 ) is a point on the line, we can "plug in" -5 for x and 5 for y into our equation to obtain
\(\begin{gathered} y=-5x+b \\ 5=-5(-5)+b \\ \text{open the bracket} \\ 5=25+b \\ \text{rewrite} \\ 25+b=5 \\ \text{subtract 25 from both sides} \\ 25-25+b=5-25 \\ b=-20 \\ \end{gathered}\)We now substitute for b now
\(y=-5x-20\)The equation of the line;
\(y=-5x-20\)Order these numbers from largest at the top, to smallest at the bottom.
1.57x10^-4
4.5x10^3
1.3x10^1
987
Answers
Step-by-step explanation:
Question:-Order these numbers from largest at the top, to smallest at the bottom.
1.57x10^-4
4.5x10^3
1.3x10^1
987
We can see that:-
The exponent with highest power is the largest number.
Here, the largest number is
\(1.3 \times 10 ^3\)
Next, is \(987\)
Smaller than this, next is :-
\(1.3 \times 10^1\)
A number with negative power is smaller.
So, last is
\(1.57 \times 10^{-4}\)
Hope it helps :)
what is the slope of the line that passes through 2,-3 and -2,10
Answers
Answer:
-13/4
Step-by-step explanation:
10-(-3)=13
-2-2=-4
13/-4
Find the coordinates of point P along the directed line segment AB so that AP to PB is the given ratio
A(-3,2), B(5,-4); 2 to 6
QUICK I NEED IT BEFOR# MONDAY
Answers
The ordered pair P within the line segment AB is (- 1, 1 / 2).
What is the location of an ordered pair within a line segment?
In this question we have a segment whose endpoints are known: A(x, y) = (- 3, 2), B(x, y) = (5, - 4), and in which we need to determine the location of point P such that the following relationship is known:
k = AP / PB
\(\overrightarrow {AP} = k \cdot \overrightarrow {PB}\)
P(x, y) - A(x, y) = k · [B(x, y) - P(x, y)]
(k + 1) · P(x, y) = A(x, y) + k · B(x, y)
P(x, y) = [1 / (k + 1)] · A(x, y) + [k / (k + 1)] · B(x, y)
Where:
A(x, y), B(x, y) - Endpoints of the line segment.P(x, y) - Ordered pair of a line segment.k - Segment ratio.If we know that A(x, y) = (- 3, 2), B(x, y) = (5, - 4) and k = 1 / 3, then the location of the ordered pair is:
P(x, y) = [1 / (4 / 3)] · (- 3, 2) + [(1 / 3) / (4 / 3)] · (5, - 4)
P(x, y) = (3 / 4) · (- 3, 2) + (1 / 4) · (5, - 4)
P(x, y) = (- 9 / 4, 6 / 4) + (5 / 4, - 1)
P(x, y) = (- 9 / 4, 3 / 2) + (5 / 4, - 1)
P(x, y) = (- 1, 1 / 2)
The ordered pair P is (- 1, 1 / 2).
To learn more on partioning line segments: https://brainly.com/question/3148758
#SPJ1
I NEED HELP FAST PLS!!!
Answers
Answer:
(a)= 224
(b)=352
Step-by-step explanation:
(a) in a calculator type 35%x640 and it will have your answer, 224
(b) do the same thins as question a but just add the 2 numbers together