I need help with explaining conic .
Answers
Conic sections also called conics are obtained by the intersection of the surface of a cone with a plane, and have certain features.
Based on the inclination of angle between the plane and the cone, we can categorize the conic sections into 4 types. They are:
Circles
Ellipses
Parabolas
Hyperbolas
The conic sections are shown in the figure below
Related Questions
If she raised her price to $13.00 per hour. How much will she earn now if she works for 5 1/2 hours?
Answers
Answer:
$71.50
Step-by-step explanation:
13hper hour and 5 hours is $65
and half an hour would be $6.50
and adding those together js $71.50
There are five boys and 10 girls in the glee club which ratio represents the number of boys in the club to the total number of students in the club
Answers
Answer:
A. 1/3
Step-by-step explanation:
did it on edge, hope this helps :)
To find the ratio, we simply take the amount of boys and put that number first because that is what they asked for first:
5
Then we find the total amount of the students because that is what they ask for next:
5 boys + 10 girls = 15 students
Finally we take those two numbers and put them in a ratio:
5 : 15
(I had to redo my answer cause for some reason my other one was taken down.)
=Solve this system of equations byusing the elimination method.x + 4y = 92x – 4y = -6([?],[]=The ordered pair of solutionsis written in the format (x, y).
![=Solve this system of equations byusing the elimination method.x + 4y = 92x 4y = -6([?],[]=The ordered](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/UAsToIG14Yr3QgXGWBSvfQ1mRfVETG1g.jpeg)
Answers
The system of equations are
\(\begin{gathered} x+4y=9.............1 \\ 2x-4y=-6...........2 \end{gathered}\)Explanation
To find the values of x and y use the elimination method.
Add equation 1 and 2 ,
\(\begin{gathered} (x+4y-9)+(2x-4y+6)=0 \\ 3x-3=0 \\ x=1 \end{gathered}\)Substitute the value of x in equation 1,
\(\begin{gathered} 1+4y=9 \\ 4y=8 \\ y=2 \end{gathered}\)The value of x is 1 and y is 2.
Answer
The ordered pair of solutions is
x=1 and y=2.
\((1,2)\)A biologist wants to estimate how many fish are in a lake. The biologist takes a sample of 10 fish from the lake and tags all 10 fish. The biologist then releases the fish back into the lake. The nex day, the biologist retums to the lake and takes a sample of 7 fish. Of those fish, 2 of them have tags. Using this information, estimate the number of fish in the lake.
Answers
If the nex day, the biologist retums to the lake and takes a sample of 7 fish. Of those fish, 2 of them have tags. The estimated number of fish in the lake is 35 fish.
How to find the estimated number?Let x represent the estimated number of fish in the lake
Hence,
x /10 = 7/2
Cross multiply
2x = 10 × 7
2x = 70
Divide both side by 2x
x =70/2
x = 35 fish
Therefore 35 is the number of fish.
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Find the surface area of a cylinder with a height of 8 and a base radius of 5 m.
Use the value 3.14 for, and do not do any rounding.
Be sure to include the correct unit.
Answers
Using the height and radius given, the surface area of the cylinder is 408.2m²
What is surface area of a cylinder?The surface area of a cylinder is the combined area of its curved surface (lateral surface) and its two circular bases. The formula for the surface area of a cylinder is:
A = 2πrh + 2πr²
where:
A is the surface area of the cylinder,π is the mathematical constant r is the radius of the base of the cylinder, andh is the height (or length) of the cylinder.In the given question, the data are;
h = 8mr = 5mSubstituting the value into the formula
A = 2π(5 * 8) + 2π(5)²
A = 408.2m²
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A caterer needs between 42 and 50
cupcakes for dessert. Name two possible
numbers between 42 and 50 that are
multiples of 4. Explain.
Answers
Answer:
404 & 408
Step-by-step explanation:
What is wrong with the following proof that for every integer n, there is an integer k such that n < k < n + 2? Suppose n is an arbitrary integer. Then k exists such that k = n + 1, proving n < n + 1 < n + 2. Nothing. 'Then k exists such that k = n + 1" is abuse of existential language. Given the n, the existence of the number n+1 is not in question. It makes no sense to draw a conclusion from the definition of k that does not reference k. The inequality n < n + 1 < n + 2 is true for all n, prior to any choice for k. the -ing form "proving" is grammatically wrong. We do not use the phrase "exists., such that" to make a direct definition. To define k as n + 1, we say "let k = n + 1", "pick k = n + 1" or "select k = n + 1". It works the same way as for constants. To assign the value 3 to k, we say "let k = 3". We do not say "k exists such that k = 3".
Answers
In the given proof, the phrase " There exists k = n+1 " is not a general practice to write.
option (d) is correct [ans]
What is an Integer?An integer is a whole number that can be positive, negative, or zero, and does not include any fractional or decimal parts.
Integers are part of the set of numbers called the integers, which includes all positive numbers, negative numbers, and zero.
We write " Let k = n+1 or assume n = k+1".
And then, we say that, it is obvious that
n < k = n+1 < n+2 for any integer n.
Hence, option (d) is correct [ans]
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what is the minimum and maximum value in the domain?
what is the minimum and maximum value in the range?
Answers
Answer:
domain (x), we include values [-4, 3]
range (y), we include values [-3, 4]
Step-by-step explanation:
The domain is the possible x-values of a function, the range is the possible y-values of a function.
On this graph, only x-values -4 to 3 have y-values / have a value on this graph.
And on this graph, only y-values -3 to 4 have values graphed/have an x-value.
When writing range and domain, we write (minimum, maximum)
----------------
**We use ( ) when not including a value
and [ ] when including a value.
(For example, if a line extends to infinity, that must be put in parentheses because you can never reach /include infinity)
(Parentheses are like > and <)
[Brackets are like ≥ and ≤]
----------------
So, for range (y), we include values [-3, 4]
And for domain (x), we include values [-4, 3]
(If you're having trouble remembering which is which, I remember alphabetically. D comes before R, and X comes before Y. Making D go with X and R go with Y.)
Hope this helps!!
Next assume that Mr. Hyper Chonder cannot get perfect information, but that he can consult a doctor. After a medical exam, the doctor evaluates Mr. Hyper Chonder as fit or unfit for travel. Mr. Hyper Chonder believes that if the doctor finds that he will stay healthy, there is an 80 percent chance that the doctor also evaluates him as fit to travel and a 20 percent chance that he evaluates him as unfit to travel. These subjective conditional probabilities are: P(Fit Healthy) = 0.8 P(Unfit Healthy) = 0.2 Likewise, Mr: Hyper Chonder believes that if the doctor finds that he will become sick, there is still a 40 percent chance that the doctor evaluates him as fit to travel and a 60 percent chance that he evaluates him as unfit to travel. These subjective conditional probabilities are: P(Fit | Sick) = 0.4 P(Unfit Sick) = 0.6 - Fit p(Fit Healthy)=0.8 Healthy 120 p(Healthy)-0.25 Travel Unfit p(Unfit Healthy)=0.2 Fit p(Fit | Sick)=0.4 Sick -40 p(Sick)=0.75 Home 20 Unfit p(Unfit | Sick)=0.6 With which probability does Mr. Hyper Chonder expect to receive a "Fit for travel" evaluation, which is P(Fit)= 0.25 0.5 0.75 None of the above. With which probability does Mr. Hyper Chonder expect to receive an "Unfit for travel" evaluation, which is P(Unfit)= O 0.25 0.5 0.75 None of the above. Assume that the doctor tells Mr. Hyper Chonder that he is fit for travel, which probability does Mr. Hyper Chonder now assign to staying healthy, which is P(Healthy Fit) = 0.3 00.4 0.5 n Assume that the doctor tells Mr. Hyper Chonder that he is unfit for travel, which probability does Mr. Hyper Chonder now assign to staying healthy, which is P(Healthyl Unfit) = O 0.05 O 0.1 0 0.2 00.4 Assume that the doctor tells Mr. Hyper Chonder that he is unfit for travel, which probability does Mr. Hyper Chonder now assign to getting sick, which is P(Sick | Unfit) = 0.3 O 0.6 O 0.9 0.95 Assume the doctor tells Mr. Hyper Chonder that he is fit to travel, what will Mr. Hyper Chonder do? He will travel and expect 24 utils He will travel and expect 28 utils He will travel and expect 32 utils He will not travel. Assume the doctor tells Mr. Hyper Chonder that he is unfit to travel, what will Mr. Hyper Chonder do? He is now indifferent between travelling and staying home He will travel and expect 22 utils He will travel and expect 24 utils He will not travel.
Answers
If the doctor tells Mr. Hyper Chonder that he is fit for travel, he will travel and expect 28 utils, and if the doctor tells him that he is unfit for travel, he will not travel and expect 24 utils.
Mr. Hyper Chonder expects to receive a "Fit for Travel" evaluation with a probability of P(Fit) = 0.25 and an "Unfit for Travel" evaluation with a probability of P(Unfit) = 0.75. He believes that if the doctor finds that he will stay healthy, there is a P(Fit Healthy) = 0.8 chance of being evaluated as fit to travel and a P(Unfit Healthy) = 0.2 chance of being evaluated as unfit to travel. If the doctor finds that he will become sick, there is a P(Fit | Sick) = 0.4 chance of being evaluated as fit to travel and a P(Unfit | Sick) = 0.6 chance of being evaluated as unfit to travel.
If the doctor tells Mr. Hyper Chonder that he is fit for travel, he assigns a probability of P(Healthy | Fit) = 0.8 to staying healthy. If the doctor tells him that he is unfit for travel, he assigns a probability of P(Healthy | Unfit) = 0.2 to staying healthy and a probability of P(Sick | Unfit) = 0.8 to getting sick.
If the doctor tells Mr. Hyper Chonder that he is fit for travel, he will travel and expect a utility of 28 utils. If the doctor tells him that he is unfit for travel, he will not travel and expect a utility of 24 utils.
If the doctor tells Mr. Hyper Chonder that he is fit for travel, he will travel and expect 28 utils, and if the doctor tells him that he is unfit for travel, he will not travel and expect 24 utils.
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A function and its inverse are shown on the same graph.
f(x)
x
6.
Which statement describes the relationship between the
function and its inverse?
O The slope of f¹(x) is the same as the slope of f(x).
The slope of f¹(x) is the opposite as the slope of f(x).
O The x-intercept of f¹(x) is the same as the y-intercep
of f(x).
The x-intercept of f¹(x) is the opposite as the y-
intercept of f(x).
Answers
Answer:
(c) The x-intercept of f⁻¹(x) is the same as the y-intercept of f(x).
Step-by-step explanation:
You want to know the relationship between the graphs of function f(x) and its inverse f⁻¹(x).
Inverse functionThe inverse of a function maps every y-value of the original function to its corresponding x-value. That is if you have ...
f(a) = b
then the graph of f(x) contains the ordered pair (a, b).
The inverse function will have the ordered pair (b, a). That is,
f⁻¹(b) = a
ApplicationIf an ordered pair (x-intercept) of the inverse function is ...
(P, 0)
Then there will be an ordered pair (0, P) on the graph of the original function. That point is the y-intercept, and its y-coordinate is the same as the x-coordinate of the x-intercept of the inverse function.
The x-intercept of f⁻¹(x) is the same as the y-intercept of f(x).
__
Additional comment
The graphs of the two functions are mirror images of each other across the line y=x.
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A round cake has a diameter of 30 cm. Angela places the cake on a circular cake board with a diameter 5 cm
longer than that of the cake.
What is the circumference of the cake board?
Give your answer in terms of T.
cm
Stuck? Watch a video or use a hint.
Report a problem
Doble
Answers
Answer: Circumference of cake board is 35π cm.
Step-by-step explanation:Since we have given that
Diameter of a round cake = 30 cm
Diameter of a cake board is 5 cm longer than the diameter of a round cake.
So, Diameter of a cake board = 30+5=35 cm
So, radius of a cake board will be
As we know the formula for " Circumference of Circle ":
So, According to question, we get,
Hence, Circumference of cake board is 35π cm.
Answer: 35π cm
Step-by-step explanation:
solve by completing the square! (will give brainlist for work).n ^ 2 + n - 30 = 0
Answers
Answer:
n = 5, -6
Step-by-step explanation:
Ur welcome
Calculate the distance between the points (4,-2) and (7,-9)
Answers
The Distance between the points (4, -2) and (7, -9) is sqrt(58) or approximately 7.62 units.
The distance between two points in a coordinate plane. The distance formula is based on the Pythagorean theorem and calculates the straight-line distance between two points.
The coordinates of the first point as (x1, y1) = (4, -2) and the coordinates of the second point as (x2, y2) = (7, -9).
The distance formula is given by:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Plugging in the values:
d = sqrt((7 - 4)^2 + (-9 - (-2))^2)
d = sqrt((3)^2 + (-7)^2)
d = sqrt(9 + 49)
d = sqrt(58)
Hence, the distance between the points (4, -2) and (7, -9) is sqrt(58) or approximately 7.62 units.
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The volume of a gas in cubic centimeters, V, varies inversely with the
pressure of the gas in liters per square centimeter, p.
When the volume of the gas is 16 cm, its pressure is 20 L/cm2. Find the
volume of the gas when the pressure is 2.5 L/cm2
A. 322.5 cm
B. 800 cm3
C. 128 cm3
D. 0.008 cm
Answers
Answer:
C. 128 cm³
Step-by-step explanation:
16(20) = 320
320/2.5 = 128 cm³
2x-1=y
3x-1=y
Consider the system of equations above. Which of the following statements about this system is true?
Answers
Answer:
B; There is only one (x,y) solution and y is negative
Step-by-step explanation:
First, I graphed the two equations. Attached is an image of the equations graphed. Next, I looked for overlapping points. Wherever the two points overlap, there is a solution. When looking at the graph, we can see the lines overlap at only one point, (0,-1). Since y is negative, the answer must be B; there is only one (x,y) solution and y is negative.
If this answer helped you, please leave a thanks!
Have a GREAT day!!!
10 less than a number x
Answers
Answer:
x-10
Step-by-step explanation:
8 workers complete the construction of wall 6 days. How many workers are needed to complete the construction in 4 days?
Please solve this in the form of unitary method. As fast as possible.
Answers
Answer:
I came up with -12
Step-by-step explanation:
8 workers = 6 days to complete
x workers = 4 days faster to complete
6/4=1.5 days faster
1.5 x 8 = 12 workers needed to complete the wall in fours days
look at pic 10 pts will mark brainilest
Answers
Answer:
D
Step-by-step explanation:
Find the value of y to make quadrilateral ABCD-quadrilateral FEHG.
D
E4
y-3
10
y=
Answers
Answer:
7
Step-by-step explanation:
8/10=(y-3)/5
cross multiply
10(y-3)=40
10y-30=40
10y=70
y=7
what is the sum or difference of cos 61° + cos 45°?
Answers
The value of the trigonometric function Cos61° + Cos45° is 1.192
The given expression is Cos61° + Cos45°
Now, we have :
Cos61° = 0.4848
and Cos45° = \(\frac{1}{\sqrt{2} }\) = 0.7072
Now, Cos61° + Cos45° = 0.4848 + 0.7072 = 1.192
Trigonometry is a branch of arithmetic that research relationships among side lengths and angles of triangles. the field emerged within the Hellenistic global at some stage in the third century BC from packages of geometry to astronomical research.
The study of angles and of the angular relationships of planar and three-dimensional figures is known as trigonometry. The trigonometric functions (also called the circular functions) comprising trigonometry are the cosecant , cosine , cotangent , secant , sine , and tangent .
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40% of what number is 60
Answers
Answer:
24
Step-by-step explanation:
Lets make this simple, divide it by 10 then mulitiply by 4 and there you go
Answer:
150
Step-by-step explanation:
Write the slope-intercept form of an equation for a line with y-intercept -7 and
slope 3.
Answers
9514 1404 393
Answer:
y = 3x -7
Step-by-step explanation:
The slope-intercept form of the equation for a line is ...
y = mx + b . . . . . line with slope m and y-intercept b
Using your values, you have ...
y = 3x -7 . . . . . . line with slope 3 and y-intercept -7
This table shows the number of customers who have come in to Trent’s Hobby Shop each day since he opened the doors.
A 2-column table with 4 rows. Column 1 is labeled Number of Days Open with entries 1, 2, 3, 4. Column 2 is labeled Number of customers with entries 3, 11, 24, 30.
Is this function discrete or continuous?
Answers
Answer:
a
Step-by-step explanation:
•Discrete variable are countable kind of numbers like 1,2,3 and are represented by whole numbers or integers if it can be negative.
•Continuous variables can be decimals and they are represented by rational numbers.
5055 X 550 + 32 - 99 + 43333 X 5 =
first right gits branlist
Answers
Answer:
the answer is 2996848
Step-by-step explanation:
Can’t find the correct answer pls help
Answers
a)What is the value of y? y= 6
b)The value of RS is 57 and ST is 16.
a) How is the value of y calculated?
From the number line,
RS = 9y +3
ST= 2y + 4
RT = 73
Rewriting as equation,
RT = RS + ST
73 = 9y +3 + 2y + 4
73 = 11y + 7
11 y = 73 - 7
11y = 66
y = 66/11
y = 6
b) What is the value of RS and ST ?
Considering the equation,
RS = 9y + 3
=9(6) +3
=54 +3
RS = 57
Considering the equation,
ST = 2y + 4
=2(6) +4
= 12 +4
ST = 16
What is an equation?
An equation is a mathematical statement that demonstrates the equality of two mathematical expressions. More than one variable may be present in a linear equation. An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for linear equation is a one-degree equation.To learn more about equations , refer:
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How do I solve the problem?
Answers
You have to determine how many weeks it takes them to make that much, then you add the total. you can determine how many weeks it takes by multiplying
Answer: So you have to first find out how many weeks Alicia needs to work and write it like this (an example)
3x?=9 something like that hope i helped
Step-by-step explanation:
Evaluate the expression if x = - 8 , y = 7 , and z = - 11 .
- 11 - z =?
Answers
Answer:
-11 - z
(-11) - (-11)
= 0
I hope I have helped.
(8 pts)
7. Solve the following system using a matrix and converting the matrix to reduced row
echelon form, without introducing any fractions.
3x - 2y + 5z = -7
x – y + 3z = -5
4x + y + z = 6
Answers
Answer:
{x,y,z} = {-22/13,29/13,6/13}
Write the system as the following augmented matrix:
\(\left[ \begin{array}{ccc|c} 3 & -2 & 5 & -7 \\ 1 & -1 & 3 & -5 \\ 4 & 1 & 1 & 6 \end{array} \right]\)
Swap rows 1 and 2 :
\(\left[ \begin{array}{ccc|c} 1 & -1 & 3 & -5 \\ 3 & -2 & 5 & -7 \\ 4 & 1 & 1 & 6 \end{array} \right]\)
Eliminate the x coefficient from the last two rows by add -3 (row 1) to row 2, and -4 (row 1) to row 3 :
\(\left[ \begin{array}{ccc|c} 1 & -1 & 3 & -5 \\ 0 & 1 & -4 & 8 \\ 0 & 5 & -11 & 26 \end{array} \right]\)
Eliminate the y coefficient from the first and last rows by adding row 2 to row 1, and -5 (row 2) to row 3 :
\(\left[ \begin{array}{ccc|c} 1 & 0 & -1 & 3 \\ 0 & 1 & -4 & 8 \\ 0 & 0 & 9 & -14 \end{array} \right]\)
Eliminate the z coefficient from the second row by adding 4 (row 3) to 9 (row 2) :
\(\left[ \begin{array}{ccc|c} 1 & 0 & -1 & 3 \\ 0 & 9 & 0 & 16 \\ 0 & 0 & 9 & -14 \end{array} \right]\)
Eliminate the z coefficient from the first row by adding row 3 to 9 (row 1) :
\(\left[ \begin{array}{ccc|c} 9 & 0 & 0 & 13 \\ 0 & 9 & 0 & 16 \\ 0 & 0 & 9 & -14 \end{array} \right]\)
Then the solution to the system is (x, y, z) such that
9x = 13 and 9y = 16 and 9z = -14
or
x = 13/9 and y = 16/9 and z = -14/9
Solid of revolution (hyperbola) — related rates Calculus
Answers
The rate at which the depth of the liquid is increasing when it reaches one-third of the height of the bowl is (7/3)π cm³/s.
What is the rate at which the depth of the liquid is increasing when the depth of the liquid reaches one-third of the height of the bowl?To ascertain the rate at which the liquid's depth rises, let's find the derivative of the depth function with respect to time.
Let;
h(t) = depth of the liquidt = timeThe rate of change of the volume of the liquid with respect to time is constant and equal to 7π cm³/s.
To determine the height of the bowl, we can evaluate the curve y = [-4 / (8 - x)] - 1 when x = 4 and y = 7.6 and then find the absolute difference between the values.
h = |[-4 / (8 - 4)] - 1 - [-4 / (8 - 7.6)] - 1|
Let's calculate the rate at which the depth rises when it reaches one-third of the bowl's height.
D = depth of bowl
Using this relationship from the question given;
D = (1/3) * h
In order to determine the rate at which D will change with respect to time, let's differentiate both sides of the equation.
dD/dt = (1/3) * dh/dt
Since dh/dt is the rate at which the depth of the liquid is changing, which is constant and equal to 7π cm³/s, we can substitute it into the equation:
dD/dt = (1/3) * (7π)
Simplifying, we have:
dD/dt = (7/3)π cm³/s
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How many pounds are in 3 tons?
600 pounds
900 pounds
6,000 pounds
9,000 pounds
Answers
Answer:
6,000
Step-by-step explanation:
1 ton is 2,000 pounds, so 3 tons are 6,000 pounds because 2,000 x 3 = 6,000.
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