For given cone, the surface area is approximately 970.26 meter² i.e. none of the above.
What exactly is a cone?
A cone is a three-dimensional geometric form with a smooth taper from a flat base (typically circular) to a point known as the apex or vertex. It seems to be a three-dimensional triangle with a circular base. A cone's height is the distance between its vertex and the plane of its base. The radius of the base is the distance between the circular base's centre and its perimeter. A cone's surface area includes the area of its base as well as the area of its curving surface.
Now,
The surface area (A) of a cone can be calculated using the formula:
A = πr² + πrs
where r is the radius of the base, s is the slant height, and π is approximately equal to 3.14.
Plugging in the given values, we get:
A = π(6.9)² + π(6.9)(20.6)
A = 149.57π + 425.59
A ≈ 970.26 m²
Therefore, the surface area of the given cone is approximately 970.26 square meters which is none of the above.
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Indicate below weather the equation in the box is true or false
Answer:
False
Step-by-step explanation:
4/8 equals to 1/2 but 6/10 equals to 3/5. Correct would be if it was 5/10
Find the area of the shape:
Answer:
(8×6)+2×((14+6)×6)
=48+2×(20×6)
=48+240
=288
Step-by-step explanation:
please mark me as brainliest
Find the perimeter of a rectangular garden that measures 4 yards by
12 yard.
Answer:
it is 48 yards
Step-by-step explanation:
what You would do is this 12x4, which would equal 48
Answer:
32 yards
Step-by-step explanation:
First we need to know what perimeter is. It's similar but not the same as area. The perimeter is the length around the entire area, or in this case, a garden. We know 2 side lengths of the garden and because it is a rectangle we just have to add another width and length the same as these and add them all together.
4 + 4 + 12 + 12
8 + 24
32
So, the perimeter of the rectangular garden is 32 yards.
Hope this helps! If you have any additional questions please don't hesitate to ask me or your teacher to be sure you master the subject. :) Stay safe and please mark brainliest!
What is the LCM of x² - x and 3 - 3x?
The LCM of x² - x and 3 - 3x is given by the expression 6x² −3x³ −3x.
What are equatiοns?Equatiοns are statements in mathematics that have twο algebraic expressiοns οn either side οf the equals (=) sign.
It shοws that the expressiοns printed οn the left and right sides have an equal relatiοnship.
In any mathematical equatiοn, we have LHS = RHS (left hand side = right hand side).
Equatiοns can be sοlved tο find the value οf an unknοwn variable that represents an unknοwn quantity.
LCM of unkone terms are given by their product:
(x² - x) × (3 - 3x)
= (3x² - 3x³) - (3x -3x²)
= 3x² - 3x³ - 3x + 3x²
= 6x² −3x³ −3x
Thus, the LCM of x² - x and 3 - 3x is given by the expression 6x² −3x³ −3x.
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what is the probability that the lifetime of at least one component exceeds 2? (do not round intermediate values. round your answer to three decimal places.)
The probability that the lifetime of at least one component exceeds 2 is 0.135.
Given that the joint pdf is f(x,y)=xe^(-x(1+y)) for x≥0, y≥0 and 0 otherwise as shown in attached image.
We want to find the probability that the lifetime of at least one component exceeds 2.
The probability that the lifetime of at least one component exceeds 2 is P(X>2).
\(\begin{aligned}P(X > 2)&=\int_{x=2}^{\infty}\int_{y=0}^{\infty}f(x,y)dydx\end\)
Now, we will substitute the given function, we get
\(\begin{aligned}P(X > 2)&=\int_{x=2}^{\infty}\int_{y=0}^{\infty}xe^{-x(1+y)}dydx\end\)
Further, we will simplify this, we get
\(\begin{aligned}P(X > 2)&=\int_{x=2}^{\infty}\left[-e^{-x(1+y)\right]_{0}^{\infty}dx\\ &=\int_{x=2}^{\infty}e^{-x}dx\\ &=\left[-e^{-x}\right]_{2}^{\infty}\\ &=e^{-2}\\ &=0.135\end\)
Hence, the probability that the lifetime of at least one component exceeds 2 for the joint pdf is f(x,y)=xe^(-x(1+y)) for x≥0, y≥0 and 0 otherwise as shown in attached image is 0.135.
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Yo could y’all help me with 6th grade math
Answer:
260
570
850
920
410
710
660
120
that all for now they out of order
Step-by-step explanation:
Answer:
2601204105705901908501003009205302004106309607108101000660810640Step-by-step explanation:
You better give brainliest for that also please refrain from these type of questions. I bet people would apprieate it
a population of cattle is increasing at a rate of 400 80t per year, where t is measured in years. by how much does the population increase between the 5th and the 9th years? total increase =
Therefore, the population increases by 3516 cattle between the 5th and 9th years.
To find the population increase between the 5th and 9th years, we need to calculate the integral of the given rate function (400 + 80t) with respect to t from 5 to 9.
Step 1: Find the integral of the rate function.
∫(400 + 80t) dt = 400t + 40t^2 + C
Step 2: Calculate the population increase at t = 5 and t = 9.
For t = 5: 400(5) + 40(5^2) = 2000 + 1000 = 3000
For t = 9: 400(9) + 40(9^2) = 3600 + 2916 = 6516
Step 3: Find the difference between these two values.
Total increase = 6516 - 3000 = 3516
Therefore, the population increases by 3516 cattle between the 5th and 9th years.
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Explain why it may be preferable to conduct a randomized experiment rather than an observational study to determine the relationship between two variables.
Observational studies have their merits in certain scenarios, when determining the relationship between two variables, randomized experiments are generally preferred for their ability to establish causal links.
Conducting a randomized experiment is often preferable to an observational study when determining the relationship between two variables. This preference arises due to several reasons that provide stronger evidence for causality and help address potential confounding factors. To illustrate this, let's consider an example involving the effects of a new medication on depression.
In a randomized experiment, researchers can randomly assign participants into two groups: a treatment group that receives the new medication and a control group that receives a placebo or standard treatment. By randomizing the assignment, the researchers ensure that any differences between the groups are due to chance, rather than preexisting characteristics. This randomization helps create comparable groups, reducing the potential for confounding variables.
In contrast, an observational study involves observing individuals as they naturally fall into groups based on their exposure to a variable. In our example, researchers might observe individuals who self-select into taking the new medication or those who choose not to take it. The problem with observational studies is that individuals in different groups may have preexisting differences, making it difficult to attribute any observed effects solely to the medication. Confounding variables, such as underlying health conditions, lifestyle factors, or socioeconomic status, can impact the outcomes and confound the results.
Randomized experiments allow researchers to control and manipulate the independent variable (in this case, the medication) while keeping other factors constant. This control enables them to draw stronger causal conclusions about the relationship between the variables. By comparing the outcomes of the treatment group with the control group, any differences can be more confidently attributed to the medication's effects.
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The tendency to perceive meaningful patterns in random sequences of outcomes often leads us to underestimate the extent to which outcomes result from.
The tendency to perceive meaningful patterns in random sequences of outcomes often leads us to underestimate the extent to which outcomes result from CHANCE .
The word "chance" describes unpredictability or the unexpected in relation to things like events that happen without a clear reason why and without human intention.
The conclusion is that chance is the tendency of people to recognize different kinds of significant patterns in a random order or sequence in addition to evaluating any kind of outcome. Because chance can also result in an underestimating of a system's conclusion or result, it is crucial to consider it when conducting an investigation.
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Which of the following expressions is not equivalent to the others?
A. -24/3
B. 24/-3
C. —24/3
D. —24/-3
Answer:
D) - 24/ -3
Step-by-step explanation:
Because a negative over a negative gives me a positive, its different from the others which are all negative
example of variations natural resources
Answer:
Sexual reproduction promotes variable gene combinations in a population leading to genetic variation. Examples of genetic variation include eye color, blood type, camouflage in animals, and leaf modification in plants
Step-by-step explanation:
suppose six 6-sided dice are rolled. the probability that all of the numbers rolled are distinct is:
The probability that all the numbers rolled are distinct is 0.015.
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favourable outcomes / Number of sample
Given that suppose six 6-sided dice are rolled. The probability of the numbers rolled are distinct is calculated as,
Probability = 6! / 6⁶
Probability = ( 720 ) / ( 46656)
Probability = 5 / 324
P = 0.015
Therefore, the probability that all the numbers rolled are distinct is 0.015.
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Consider the polynomial function q(x) = 3x^4 – 5x^3 – 2x^2 + x – 18.
What is the end behavior of the graph of q?
Answer:
a in the picture
Step-by-step explanation:
The end behaviour of the function is correctly represented by option 1.
What is the end behaviour of a function? What do you mean by domain and range of a function?The end behavior of a function describes the trend of the graph if we look to the right end of the x-axis (as x approaches +∞ ) and to the left end of the x-axis (as x approaches −∞ ).
For any function y = f(x), Domain is the set of all possible values of [x] for which [y] exists. Range is the set of all values of [y] that exists for the given domain.
Given is the following function polynomial as -
q(x) = 3x⁴ – 5x³ – 2x² + x – 18
The given polynomial is -
q(x) = 3x⁴ – 5x³ – 2x² + x – 18
Graph the function. It can be seen that the domain is limited from -
x = -1.365 to x = 2.351 which is a small value. So, we can predict the end behaviour of the graph as given in option [1].
Hence, the end behaviour of the function is correctly represented by option 1.
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Adam cycled from his home town at 25 kmh-1 and came back at 4 km/h. If the
Whole journey took 5 hours 48 min, find the distance from his home to the
town
HELP! Problem- Tim has a rectangular garden with an area of 36.63 square meters. The length of the garden is 4.5 meters. What is the width, in meters, of the garden?
A. 8.14
B. 11.42
C. 12.16
D. 30.62
please if you can answer asap: When the vertical line test shows that there is one and only one range item for each domain item we call that relationship what?
Answer:
the relationship is a function....
can 25cm, 31cm, and 40cm make a right triangle
On solving the provided question, we can say that provided sides length are 25cm, 31cm, and 40cm and Yes, the numbers 24, 32, and 40 can make a right triangle.
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
provided sides length are 25cm, 31cm, and 40cm and Yes, the numbers 24, 32, and 40 can make a right triangle.
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help asap will give 10 points
Answer:
False
Step-by-step explanation:
\(( {9}^{9} ) \times ( {9}^{ - 20} ) \\ = {9}^{9 + ( - 20)} \\ = {9}^{ - 11} \)
Answer:
I'm pretty sure its false
Multiplication is doing what to the same number continuously?
Answer:
mutiplying it
Step-by-step explanation:
it is multiplying it because 2×2=4
Answer:
multiplying the answer
Tell me the most factorized form of this p^3+6p^2-4p
like (p+2)and (p-2) in two terms basically
The most factorized form of the expression p^3+6p^2-4p is (p + 8)(p - 2).
Given an algebraic expression p³ + 6p² - 4p. we have to factorize it into its most factorized form. So, to factorize the given expression, we have to first take common p from all the terms:
p(p² + 6p - 4)
Now, we have to factorize the quadratic expression p² + 6p - 4.
To factorize the quadratic expression, we can either use the factorization method, splitting the middle term method, or the quadratic formula. But, to make the calculations simpler, we'll use the splitting of the middle term method.
For the quadratic expression p² + 6p - 4, the product of the coefficient of the square term and the constant term
= p² × (-4)
= -4p².
Now, we need to find two numbers such that their product is -4p² and their sum is 6p. It's easy to find that the two numbers are 8p and -2p.
We have to find two numbers whose product is -4p² and sum is 6p. On observing the coefficient of the square term, we can see that the only way we can get -4p² is by multiplying -4 with p².
So, we have to consider factors of -4 and pair them up so that their product is -4p². Similarly, to get the coefficient of the linear term, we have to add these factors of -4p².
So, we can write the quadratic expression as:p² + 8p - 2p - 4=> p(p + 8) - 2(p + 2)We can factorize this quadratic expression as:
p² + 6p - 4=> p(p + 8) - 2(p + 2)
Therefore, the given algebraic expression can be factorized as:p³ + 6p² - 4p=> p(p + 8) - 2(p + 2)
The most factorized form of the given expression is:
p(p + 8) - 2(p + 2)= p(p + 8) - 2 × 1 × (p + 2)
We can write this expression in two terms as:p(p + 8) - 2(p + 2)= (p + 8)(p - 2).
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A grasshopper makes jumps that are either 17 or 19 cm in length, in either direction (forwards or backwards). Is it possible for the grasshopper to cover a distance of 101 cm in 100 jumps?
Answer: No. The grasshopper cannot cover exactly 101 cm in exactly 100 jumps.
Step-by-step explanation:
If the grasshopper makes 50 forward jumps of 19 cm and 50 backward jumps of 17 cm (in any order) the jumps total 950-850 for a net result of 100.
Changing to any other amount just gets farther away from the goal.
A system of equations yields no solution of integers.
x + y ==100
19x - 17y =101
You can try it, but the result has a decimal. This grasshopper cannot make partial jumps!
what doe mean (x,y)→(x+2,y-4)
Answer: shift 2 units right, and 4 units down
==================================================
Explanation:
The x+2 means to shift the point 2 units to the right.
For instance, the point (5,13) moves to (7,13) after adding 2 to the x coordinate.
The y-4 means to shift the point 4 units down. Example: (10,8) moves to (10,4) after subtracting 4 from the y coordinate.
Overall, (x,y)→(x+2,y-4) means "shift 2 units right, and 4 units down"
------------
Example:
Let's apply the rule to the point (1, 7)
(x,y)→(x+2,y-4)
(1,7)→(1+2,7-4)
(1,7)→(3,3)
Can you answer this riddle?
Answer:
The missing number is 6 because there is a pattern of 26236 and 96196
A holiday company offer a 12% discount if you book before 31st March. How much
would you pay today for a holiday to France if the full price is £1,245?
How many square inches are in 60 square feet?
5 square inches
72 square inches
720 square inches
8,640 square inches
Answer:
8,640 square inches.
Formula: multiply the Area value by 144.
Answer:
The answer is D. 8,640 square inches.
Step-by-step explanation:
The following table shows the number of candy bars bought at a local grocery store and the
total cost of the candy bars:
Candy Bars 3
5
Total Cost $6.65
8
$10.45 $16.15
12
$23.75
15
$29.45
20
$38.95
25
$48.45
Based on the data in the table, find the slope of the linear model that represents the cost
of the candy per bar: m =
Answer:
The slope of a linear model can be calculated using the formula:
m = Δy / Δx
where:
Δy = change in y (the dependent variable, in this case, total cost)
Δx = change in x (the independent variable, in this case, number of candy bars)
This is essentially the "rise over run" concept from geometry, applied to data points on a graph.
In this case, we can take two points from the table (for instance, the first and last) and calculate the slope.
Let's take the first point (3 candy bars, $6.65) and the last point (25 candy bars, $48.45).
Δy = $48.45 - $6.65 = $41.8
Δx = 25 - 3 = 22
So the slope m would be:
m = Δy / Δx = $41.8 / 22 = $1.9 per candy bar
This suggests that the cost of each candy bar is $1.9 according to this linear model.
Please note that this assumes the relationship between the number of candy bars and the total cost is perfectly linear, which might not be the case in reality.
(BRAINLIST)
What is the horizontal distance from (−2, −8) to (13, −8)? 15 units 11 units −11 units −15 units
Answer:
15 units
Step-by-step explanation:
13 - (-2) = 15
So the horizontal distance from (-2), -8)
to (13, -8 is 15 units,
Answer:
15 units
Step-by-step explanation:
The given (x, y) points are (-2, -8) and (13, -8).
The two given points have the same y-coordinate, y = -8.
Therefore, the horizontal distance between the points is the difference between their x-coordinates.
The x-coordinate of the first point is -2, and the x-coordinate of the second point is 13.
To find the horizontal distance, subtract the x-coordinate of the first point from the x-coordinate of the second point:
13 - (-2) = 13 + 2 = 15
Therefore, the horizontal distance from (-2, -8) to (13, -8) is 15 units.
Question 3 The Schwarzschild metric is given by 2M 2M ds² -(₁-²M) di² + (1-²¹)- 1- dr² +r² (d0² + sin² 0 dó²). There are Killing vectors associated with time invariance and angular momen- tum invariance in the direction in this geometry leading to the conserved quantities e = (1-2) and l= r² sin² 0 dr From this one can derive an analog to the radial energy equation in Newtonian mechanics by orienting the coordinates so that the orbits are confined to the equatorial plane where 0 = π/2 and u = 0. One finds 2 1 dr + Veff (r) = E 2 dr (e²_ -1) where E = and Veft(r) = - + 2/²/²2 - Mp³². Further, for circular orbits one can show that M | [₁ + √/₁−12 (+1)]. r+= | 2M Finally, for circular orbits of radius R do 1/2 M dt R³ (a) Which value of r corresponds to the Schwarzschild radius of stable circular orbits: r or r? Justify your answer. [3 marks] (b) Show that for circular orbits of radius R do 1/2 M -1/2 3M (²) ¹² (1-³) dT R³ R where is the proper time. [6 marks] (c) A free particle is moving in a circular orbit around a spherical source of curvature of mass M. The Schwarzschild radius of the orbit is 8M. Use the equivalence principle to argue that the period as measured at infinity should be larger than that measured by the particle. [4 marks] (d) Find the period of the orbit as measured by an observer at infinity. Find the period of the orbit as measured by the particle. [7 marks] M
(A) Circular orbits of stable particles are possible at radii greater than three times the Schwarzschild radius for the non-rotating spherically symmetric mass.
This represents the radius of a black hole's event horizon, within which nothing can escape. The Schwarzschild radius is the event horizon radius of a black hole with mass M.
M can be calculated using the formula: r+ = 2Mwhere r+ is the radius of the event horizon.
(B) 1/2 M -1/2 3M (²) ¹² (1-³) dT = R³ R. This is the required expression.
Tau is the proper time of the particle moving around a circular orbit. Hence, by making use of the formula given above:1/2 M -1/2 3M (²) ¹² (1-³) dT = R³ dt.
(C) Time passes differently in different gravitational fields, and it follows that the period as measured at infinity should be larger than that measured by the particle.
The principle of equivalence can be defined as the connection between gravitational forces and the forces we observe in non-inertial frames of reference. It's basically the idea that an accelerating reference frame feels identical to a gravitational force.
(D) The period of the orbit as measured by an observer at infinity is 16π M^(1/2) and the period of the orbit as measured by the particle is 16π M^(1/2)(1 + 9/64 M²).
The period of orbit as measured by an observer at infinity can be calculated using the formula: T = 2π R³/2/√(M). Substitute the given values in the above formula: T = 2π (8M)³/2/√(M)= 16π M^(1/2).The period of the orbit as measured by the particle can be calculated using the formula: T = 2π R/√(1-3M/R).
Substitute the given values in the above formula: T = 2π (8M)/√(1-3M/(8M))= 16π M^(1/2)(1 + 9/64 M²).
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A polynomial f and a factor of f are given. Factor f completely.
f(x) = 3x³ + 13x²+2x-8; x + 4
Answer:
(x+4)(3x-2)(x+1)
Step-by-step explanation:
Evaluate and must show work
But i don’t think there is anything left to be done is there?
Please help
Answer:
ln(x)/2 -3.810930
Step-by-step explanation:
The relevant rules of logarithms are ...
ln(ab) = ln(a) +ln(b)
ln(a^b) = b·ln(a)
ln(a/b) = ln(a) -ln(b)
ln(e) = 1
__
Your expression expands to ...
\(\ln\left(\dfrac{4\sqrt{x}}{9e^3}\right) = \ln(4\sqrt{x})-\ln(9e^3)=\ln(4)+\dfrac{1}{2}\ln(x)-(\ln(9)+3\ln(e))\\\\=\dfrac{1}{2}\ln(x)+\ln(4)-\ln(9)-3\\\\\approx\dfrac{\ln(x)}{2}-3.810930\)