Answers
the answer is on the pictures
sorry if their wrong
x=1/2 (or 1)
y=3/4
Related Questions
54-90.27-90.22-90.87-90
Answers
Answer: -307.36 I think
Step-by-step explanation:
A pair of boots costing $299 is marked down 45%.
What is the price of the pair of boots after the mark down?
$134.55
$164.45
$285.55
$433.55
Answers
Answer: 164.45
Step-by-step explanation:
The figure below consists of a square and a right triangle. Find the missing length
Answers
Answer:
uh we need to see the figure
Step-by-step explanation:
This is what they're talking about
Write a recursive formula for the following sequence. If your answer is not an integer type it as a decimal rounded to the nearest tenth.a_n = {10,-3,0.9,-0.27,...}a_n = Answer*a_{n-1}
Answers
Solution:
Consider the following set:
\(a_n=\lbrace10,\text{ -3, 0.9, -0.27}\rbrace\)This type of sequence represents a Geometric sequence in which the ratio between any two consecutive terms is constant.
Now, to know that it is actually a geometric sequence, divide each term in a sequence by the preceding term. If the resulting quotients are equal, then the sequence is geometric.
According to the definition of a geometric sequence, we have that a recursive formula for the given sequence would be
\(a_1=10\)\(a_n=\text{ - 0.3 a}_{n\text{ - 1}}\)Then, we can conclude that the correct answer is:
\(a_n=\text{ - 0.3 a}_{n\text{ - 1}}\)Show that there exist coefficients w0,w1, . . . ,wn depending on x0, x1, . . . , xn and on a, b such that
Answers
The given statement " show that there exist coefficients w0, w1, ..., wn that depend on x0, x1, ..., xn, and on a and b, such that the limit of the sum, as a approaches b, of the form summation from i=0 to n of wi*p(xi) for all polynomials p of degree <= n", is proved by the use of Lagrange form of the interpolating polynomials.
Let p(x) be a polynomial of degree at most n. Then, by the Lagrange interpolation formula from Section 4.1, we have:
p(x) = Summation from i=0 to n of p(xi) * Li(x)
where Li(x) is the ith Lagrange basis polynomial, defined by:
Li(x) = Product from j=0 to n, j != i, of (x - xj) / (xi - xj)
Now, consider the sum:
S = Summation from i=0 to n of wi * p(xi)
where wi are coefficients to be determined. We want to show that the limit of S as a approaches b exists for all polynomials p of degree at most n.
We can express S in terms of the Lagrange basis polynomials as:
S = Summation from i=0 to n of wi * p(xi)
= Summation from i=0 to n of wi * Summation from j=0 to n of p(xj) * Li(xj)
= Summation from j=0 to n of p(xj) * Summation from i=0 to n of wi * Li(xj)
Note that the summation over i is only dependent on the Lagrange basis polynomial Li(xj), and does not depend on p(xj). Therefore, we can choose the coefficients wi such that:
Summation from i=0 to n of wi * Li(xj) = 0 for j != k
Summation from i=0 to n of wi * Li(xk) = 1
for some k in {0, 1, ..., n}.
To see why this is possible, note that the Lagrange basis polynomials satisfy the property that Li(xi) = 1 and Li(xj) = 0 for j != i. Therefore, we can choose the coefficients wi to be:
wi = Li(xk) / Summation from i=0 to n of Li(xk)
which gives:
Summation from i=0 to n of wi * Li(xj) = Li(xk) / Summation from i=0 to n of Li(xk) * Summation from i=0 to n, i != k of Li(xj)
= 0 for j != k
Summation from i=0 to n of wi * Li(xk) = 1
Now, we have:
S = Summation from j=0 to n of p(xj) * Summation from i=0 to n of wi * Li(xj)
= Summation from j=0 to n of p(xj) * Li(xk)
Taking the limit as a approaches b, we get:
lim a->b S = lim a->b Summation from j=0 to n of p(xj) * Li(xk)
= Summation from j=0 to n of p(xj) * lim a->b Li(xk)
= Summation from j=0 to n of p(xj) * Integral from a to b of Li(x) dx
where we have used the fact that the limit and integral commute, and the limit of the Lagrange basis polynomial Li(xk) is equal to the integral of Li(x) over the interval [a, b], which is a constant that does not depend on k.
Therefore, we have shown that there exist coefficients w0, w1, ..., wn that depend on x0, x1, ..., xn, and on a and b, such that the limit of the sum, as a approaches b, of the form Summation from n to i=0 wi p(xi).
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_____The given question is incomplete, the complete question is given below:
Show that there exist coefficients w0,w1, . . . ,wn depending on x0, x1, . . . , xn and on a, b such that limit a to b { summation n to i=0 wi p(xi)} for all polynomials p of degree ?n.
Hint: Use the Lagrange form of the interpolating polynomials from Section 4.1
Can anyone help me on this one
Answers
Hello !
Answer :
\({x}^{ - \frac{8}{3} }\)\(\sqrt[3]{ {x}^{ - 8} }\)\(\sqrt[3]{ ({x}^{ 4}) {}^{ - 2} }\)Explanation :
\( \to \boxed{ ({x}^{a}) {}^{b} = {x}^{ab} } \)
\( \to \boxed{ {x}^{ \frac{1}{n} } {}^{} = \sqrt[n]{x} } \)
\( ({x}^{4} ) {}^{ - \frac{2}{3} } = {x}^{- \frac{2}{3} \times 4} \\ \boxed{= {x}^{ - \frac{8}{3} } } \\ \boxed{= \sqrt[3]{ {x}^{ - 8} }} \\ \boxed{ = \sqrt[3]{ ({x}^{ 4}) {}^{ - 2} }}\)
Have a nice day ;)
What is the value of x in the equation below?
3(12x-24) = 16
A) 2
B) 6
C) 8
D) 10
ANSWER: B) 6
Answers
Answer:
3(12x - 24) = 16 (use the distributive property)
36x - 72 = 16 (add 72 to both sides to get the x-term alone)
36x = 88 (divide both sides by 36 to isolate x)
x = 2.4 (the four is repeating. that's the exact answer.)
I would say the answer is A because 2.4 is close to 2 than any of the other answers.
Step-by-step explanation:
I hope this helps :))
someone please help me
Answers
Answer:
40
Step-by-step explanation:
Quadrilateral QRSU forms a euclidean kite this means PR would be 2(mST)
WILL GIVE 30 POINTS TO WHOEVER SOLVES THIS
Answers
Answer:
142 square meters
Step-by-step explanation:
Big rectangle Area = LxW = 18 x9= 162
White triangle Area A = (ab)/2 legs 5 and 8 ( 18-10= 8 )
= (5x8)/ 2 = 20
Subtract white triangle from green rectangle
162-20 = 142
OR
area left rectangle LxW 10x9 = 90
area right rectangle LxW 4x8 =32
area green triangle ( sides 5 an8 ) (ab)/2 = 20
90+32+20 = 142
The grade you earn in Algebra 2 varies inversely with the amount of time you spend on your phone during classroom
instrution. If you are on your phone the entire class (90 minutes) you get a 30 in Algebra 2.
What is k, the constant of variation? type your answer...
How many minutes can you spend on your phone if you want to make a 70?(round to the nearest whole number)
type your answer...
Previous
minutes.
Next
Answers
The constant of variation is,
k = 2700
And, For minutes can you spend on your phone if you want to make a 70 is,
T = 38.6 minutes
We have to given that;
The grade you earn in Algebra 2 varies inversely with the amount of time you spend on your phone during classroom instruction.
Here, You are on your phone the entire class (90 minutes) you get a 30 in Algebra 2.
Now, We can formulate;
A = k / T
Where, A is sand for algebra 2 and T for time and k is constant of proportionality.
For A = 30, T = 90 minutes,
A = k / T
30 = k /90
k = 30 x 90
k = 2700
So, For minutes can you spend on your phone if you want to make a 70 is,
A = k / T
Plug A = 70, K = 2700
70 = 2700 / T
T = 2700 / 70
T = 38.6 minutes
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What is the measure of angle LKJ? Round to the nearest whole degree. 41° 45° 49° 55°
Answers
Answer:
49
Step-by-step explanation:
jus took test on EDGE! :)
C. 49⁰
Have a wonderful day~ <3
Mr. Silvano drove 128.6 km each day for 8 days. Then, he drove 44.3 km each day for 12 days. What was the total distance Mr. Silvano drove?
Answers
Answer:
Ans: 1559.6km
Step-by-step explanation:
(128.6x8)+(44.3x12)=1559.6km
Answer:1559.6km
Step-by-step explanation:
128.6*8=1,028.8
44.3*12=531.6
1,028+531.6=1559.6km
Which set of equations shows a way to find 771 - 468?
Answers
Answer:
The one that has 303 as the answer is the correct one
Is the event independent or overlapping:
A spinner has an equal chance of landing on each of its eight numbered regions. After spinning, what is the probability you land on region three and region six?
Mutually exclusive or independent:
A bag contains six yellow jerseys numbered 1-6. The bag also contains four purple jerseys numbered 1-4. You randomly pick a jersey. What is the probability it is purple or has a number greater than 5.
Mutually exclusive or overlapping:
A box of chocolates contains six milk chocolates and four dark chocolates. Two of the milk chocolates and three of the dark chocolates have peanuts inside. You randomly select and eat a chocolate. What is the probability that is is a milk chocolate or has no peanuts inside?
Mutually exclusive or independent:
You flip a coin and then roll a fair six sided die. What is the probability the coin lands on heads up and the die shows an even number?
Answers
1. A spinner has an equal chance of landing on each of its eight numbered regions. After spinning, what is the probability you land on region three and region six?
In this case, the spinner's outcome of landing on region three is independent of landing on region six. Each spin is unrelated to the previous spin, and the outcome of one region does not affect the outcome of the other region. Therefore, the events are independent. The probability of landing on both region three and region six is the product of their individual probabilities: 1/8 * 1/8 = 1/64.
2. A bag contains six yellow jerseys numbered 1-6. The bag also contains four purple jerseys numbered 1-4. You randomly pick a jersey. What is the probability it is purple or has a number greater than 5?
In this scenario, the events are overlapping. A jersey can be both purple and have a number greater than 5 at the same time. Therefore, the probability of it being purple or having a number greater than 5 is the sum of their individual probabilities, minus the probability of the overlapping event (purple jerseys with a number greater than 5). There are 4 purple jerseys out of 10 total jerseys, and there is 1 jersey with a number greater than 5 out of 10. However, there is one jersey that satisfies both conditions (purple and number greater than 5), so we need to subtract it from the sum. So the probability is (4/10 + 1/10) - (1/10) = 4/10 = 2/5.
3. A box of chocolates contains six milk chocolates and four dark chocolates. Two of the milk chocolates and three of the dark chocolates have peanuts inside. You randomly select and eat a chocolate. What is the probability that it is a milk chocolate or has no peanuts inside?
In this scenario, the events are mutually exclusive. A chocolate cannot be both a milk chocolate and have no peanuts inside at the same time. Therefore, the probability of it being a milk chocolate or having no peanuts inside is the sum of their individual probabilities. There are 6 milk chocolates out of 10 total chocolates, and there are 7 chocolates without peanuts out of 10. So the probability is 6/10 + 7/10 = 13/10, which is greater than 1. However, probabilities cannot exceed 1, so we need to take the maximum value of 1. Therefore, the probability is 1.
4. You flip a coin and then roll a fair six-sided die. What is the probability the coin lands heads up and the die shows an even number?
In this case, the events are independent. The outcome of the coin flip does not affect the outcome of the die roll. The probability of the coin landing heads up is 1/2, and the probability of the die showing an even number is 1/2. To find the probability of both events occurring, we multiply their individual probabilities: 1/2 * 1/2 = 1/4.
I hope this clarifies the nature of each event. Let me know if you have any further questions!
The first question:
"A spinner has an equal chance of landing on each of its eight numbered regions. After spinning, what is the probability you land on region three and region six?"
Since the spinner has an equal chance of landing on each of its eight regions, the probability of landing on region three is 1/8, and the probability of landing on region six is also 1/8.
To find the probability of both events occurring (landing on region three and region six), you multiply the probabilities together:
P(landing on region three and region six) = P(landing on region three) * P(landing on region six) = (1/8) * (1/8) = 1/64.
Therefore, the probability of landing on both region three and region six is 1/64.
The events are mutually exclusive because it is not possible for the spinner to land on both region three and region six simultaneously.
--------------------------------------------------------------------------------------------------------------------------
The second question:
"A bag contains six yellow jerseys numbered 1-6. The bag also contains four purple jerseys numbered 1-4. You randomly pick a jersey. What is the probability it is purple or has a number greater than 5?"
To find the probability of either event occurring (purple or number greater than 5), we need to calculate the probabilities separately and then add them.
The probability of picking a purple jersey is 4/10 since there are four purple jerseys out of a total of ten jerseys.
The probability of picking a jersey with a number greater than 5 is 2/10 since there are two jerseys numbered 6 and above out of a total of ten jerseys.
To find the probability of either event occurring, we add the probabilities together:
P(purple or number greater than 5) = P(purple) + P(number greater than 5) = (4/10) + (2/10) = 6/10 = 3/5.
Therefore, the probability of picking a purple jersey or a jersey with a number greater than 5 is 3/5.
The events are overlapping since it is possible for the jersey to be both purple and have a number greater than 5.
--------------------------------------------------------------------------------------------------------------------------
The third question:
"A box of chocolates contains six milk chocolates and four dark chocolates. Two of the milk chocolates and three of the dark chocolates have peanuts inside. You randomly select and eat a chocolate. What is the probability that it is a milk chocolate or has no peanuts inside?"
To find the probability of either event occurring (milk chocolate or no peanuts inside), we need to calculate the probabilities separately and then add them.
The probability of selecting a milk chocolate is 6/10 since there are six milk chocolates out of a total of ten chocolates.
The probability of selecting a chocolate with no peanuts inside is 7/10 since there are seven chocolates without peanuts out of a total of ten chocolates.
To find the probability of either event occurring, we add the probabilities together:
P(milk chocolate or no peanuts inside) = P(milk chocolate) + P(no peanuts inside) = (6/10) + (7/10) = 13/10.
Therefore, the probability of selecting a milk chocolate or a chocolate with no peanuts inside is 13/10.
The events are mutually exclusive since a chocolate cannot be both a milk chocolate and have no peanuts inside simultaneously.
--------------------------------------------------------------------------------------------------------------------------
The fourth question:
"You flip a coin and then roll a fair six-sided die. What is the probability the coin lands heads up and the die shows an even number?"
The probability of the coin landing heads up is 1/2 since there are two possible outcomes (heads or tails) and they are equally likely.
The probability of rolling an even number on the die is 3
/6 or 1/2 since there are three even numbers (2, 4, and 6) out of a total of six possible outcomes.
To find the probability of both events occurring (coin lands heads up and die shows an even number), we multiply the probabilities together:
P(coin lands heads up and die shows an even number) = P(coin lands heads up) * P(die shows an even number) = (1/2) * (1/2) = 1/4.
Therefore, the probability of the coin landing heads up and the die showing an even number is 1/4.
The events are independent since the outcome of flipping the coin does not affect the outcome of rolling the die.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Peter has a rectangular garden. The length is 22 feet, and the diagonal measures 28 feet. What is the width of the garden? Round to the nearest tenth.
Answers
Here you use the Pythagorean theorem where 28^2- 22^2= x^2
You get 300= x^2, and when you square root both sides you get x=17.32
Answer: x=17.32
8. The first three terms of a geometric sequence are ( x-6), 3x, and y. If the common ratio is 6, then the value of y is.
Answers
Answer:
The value of y is 216
(and the value of x is 12)
Step-by-step explanation:
The general formula for a geometric sequence is,
\(a_n = a_1(r)^{n-1}\)
Where n represents the nth term, a_1 is the first term and r is the common ratio,
we see that,
r = 6,
the first term is,
a_1 = (x-6)
the 2nd term is,
a_2 = 3x,
the 3rd term is,
a_3 = y, finding y,
first we find x, using the above given formula we have,
\(a_2 = a_1(6)^{2-1}\\3x = (x-6)(6^1)\\3x = 6x -36\\36 = 6x - 3x\\36 = 3x\\x=36/3\\x=12\)
x = 12,
Now, for y we can use the relation between a_3 and a_2,
\(a_3 = a_1(6)^{3-1}\\y = (x-6)(6)^2\\y = (12-6)(6^2)\\y = 6(6^2)\\y = 6^3\\y = 216\)
y = 216
Which of the following systems of inequalities has point D as a solution?
Answers
Answer:
f(x) \(\leq\) 3x + 4
g(x) ≥ -1/2x - 5
Step-by-step explanation:
Point D is below f(x) and above g(x)
Helping in the name of Jesus.
If a sprinkler waters 1/15 of a lawn in 1/5 of an hour, how much time will it take to water the entire lawn?
help me
Answers
Answer:
3 hours
Step-by-step explanation:
To solve this we can first find out how many minutes is 1/5th of an hour which is: 12 mins.
Now we know it will take 15 sets of 12 minutes to water the full lawn so we can multiply 15*12 to get our answer.
15*12 = 180
Now we divide 180 (minutes) by 60 (minutes) to find out how many hours that is:
180/60 = 3 hours
Hope this helped! If possible please leave a thanks so I can continue to help out others :),
comment if you have any questions.
Answer:
3 hours
Step-by-step explanation:
1/5 of an hour is 12 minutes.
So 1/15 of a lawn takes 12 minutes to water.
Next you multiply 15, how many times 1/15 of a lawn is watered, and multiply it by 12, the time it takes to water 1/15 of a lawn.
So you would get 180 minutes.
Finally you convert it to hours. To do this, you divide it by 60, how many minutes in and hour, and should get an answer of 3 hours.
Hope this helps!
Create a large number line on the floor. Start at zero and walk to 5. Count each unit as you walk. Now start at zero and walk to -5. What do you notice about the distance you traveled?
Answers
Answer:it’s the same distance traveled each way
Step-by-step explanation:
U go 5 steps to 5 and you go 5 steps to -5. Since it doesn’t ask HOW you r walking and only about the distance then they r both the dame
The expression can be written in the form
Answers
Answer:
A = 8B = 19C = -17Step-by-step explanation:
You want the values of A, B, C in A·log(x) +B·log(y) +C·log(z) = log(x^8y^19/z^17).
Rules of logarithmsIt is helpful to remember that ...
log(ab) = log(a) +log(b)
log(a/b) = log(a) -log(b)
log(a^b) = b·log(a)
Application\(\log{\left(\dfrac{x^8y^{19}}{z^{17}}\right)}=\log(x^8)+\log(y^{19})-\log(z^{17})\\\\=8\log(x)+19\log(y)-17\log{z}\)
A = 8, B = 19, C = -17
#95141404393
simplify the expression 5×6+6+6–12×2
Answers
Answer:
18
Step-by-step explanation:
Use PEMDAS
p=parenthesis
E=exponent
M=multiplication
D=division
A=addition
S=subtraction
ogether Brianna and Hushley saved $336 for their trip to France. Hushley saved $120 more than Brianna. How much money did Brianna save?
Answers
Answer:
Brianna saved $108
Step-by-step explanation:
First take away 120 from the total, you will be left with 216
Then divide the final amount in two 216/2 will be 108
according to money magazine, maryland had the highest mean annual household income of any state in at (time website). assume that annual household income in maryland follows a normal distribution with a mean of and standard deviation of .
Answers
The probability of getting a household income of $75,000 in Maryland is 0.3989.
The normal distribution formula is given by:
P(x) = 1/√(2πσ^2) * e^[-(x-μ)^2 / (2σ^2)]
Where,
P(x) - Probability of getting a household income of x
μ - Mean annual household income in Maryland
σ - Standard deviation of annual household income in Maryland
Assuming that the mean annual household income in Maryland is $75,000 and the standard deviation is $10,000, the probability of getting a household income of $75,000 can be calculated using the formula given above.
P(75000) = 1/√(2π10000^2) * e^[-(75000-75000)^2 / (2*10000^2)]
= 0.3989 * e^(0)
= 0.3989
Therefore, the probability of getting a household income of $75,000 in Maryland is 0.3989.
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1. A particle moves along a straight line. The graph of the particle's position x(t) at time t is shown below over the interval [0,10]. The function has horizontal tangents at t=1.7 and t=6.9, and a point of inflection at t=4.3. Determine the values of t where the velocity of the particle is increasing. Justify your answers.
Answers
The particle increases its velocity in the following three subintervals:
0 < t < 2 4 < t < 7 9 < t < 10How to determine the interval of times where the velocity is increasing
In this question we find the case of the position of a particle (x) in versus time (t), whose graph is shown below. The velocity associated to a given time t is represented by the slope of the line tangent to that point. The velocity of a particle increases when the signs of function position and function velocity are the same.
By secant line formula, velocity can be approximated by this formula:
v ≈ Δx / Δt
Since time is a non-negative real number, the sign of velocity is derived by the following rules:
Velocity is negative for Δx < 0.Velocity is zero for Δx = 0.Velocity is positive for Δx > 0.Then, the velocity of the particle increases in the following two cases:
v(t) > 0, x(t) > 0.v(t) < 0, x(t) < 0.The velocity is increasing in the following subinterval 0 < t < 2, 4 < t < 7 and 9 < t < 10.
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simplify (6^7)^3
will give brainlist
Answers
Answer:
The answer is D.
Step-by-step explanation:
You have to apply Indices Law,
\( { ({a}^{m}) }^{n} \: ⇒ \: {a}^{mn} \)
So for this question :
\( { ({6}^{7}) }^{3} \)
\( = {6}^{7 \times 3} \)
\( = {6}^{21} \)
Can someone help me with this?
Answers
Answer:
Kite x=1, y=7
Step-by-step explanation:
It is a kite.
The two lines on the bottom corners of the kite mean they have the same value.
X=1 so 3x+4
3 *1 +4=7
And: x+6
1+6=7.
X+4=1+4=5.
Y=7 so y-2
7-2=5.
Hope it helped you
Easy geometry please help!!
Answers
In the given parallelogram ABCD the values for variables are - g = 6, y = 5 and x = 4.
What is a parallelogram?
A quadrilateral with two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are additional to the transversal on the same side.
We know that in a parallelogram, opposite sides are congruent and parallel, and diagonals bisect each other.
Using this information, we can set up equations to solve for the variables.
From the given information, we have -
AE = CE = 2x - 5 = 5x - 17 (since diagonals bisect each other at point E)
BE = x + 2
DE = BE = (x + 2) = g (since diagonals bisect each other at point E)
We also know that opposite sides of a parallelogram are parallel.
Therefore, 10 is parallel to 2y, which means they have the same slope. We can write this as -
10/1 = 2y/1
10 = 2y
y = 5
Now we can use equation (1) to solve for x -
2x - 5 = 5x - 17
12 = 3x
x = 4
Finally, we can use x to solve for g -
(x + 2) = g
(4 + 2) = g
g = 6
Therefore, the values of x, y, and g are 4, 5, and 6, respectively.
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solve each absolute value inequality and show its solution set |5t-1|>21
Answers
The solution of the absolute function is
t < -4
t > 22/5
In interval notation it will be (-∞,-4) ;(22/5,+∞).
What is absolute function?
An absolute value function is a function in algebra which consists of the variable in the absolute value bars. In general form of the absolute value function is f(x) = a |x - h| + k where h, k are constants and the most commonly used form of this function is f(x) = |x|. Here a = 1 and h = k = 0.
The Absolute Value term is |5t-1|
For the Negative case it will be -(5t-1)
For the Positive case it will be (5t-1)
at first we will solve for negative case:
-(5t-1) > 21
Multiplying by the minus sign we get,
-5t+1 > 21
Rearranging and Adding up we get,
-5t > 20
Dividing both sides by 5
-t > 4
Multiplying both sides by (-1) we get,
t < -4
Now we will solve for positive case:
(5t-1) > 21
Rearranging and Adding up we get,
5t > 22
Dividing both sides by 5 we get,
t > (22/5)
Hence the solution of the absolute function is
t < -4
t > 22/5
In interval notation it will be (-∞,-4) ;(22/5,+∞).
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lim (cosec 2x - xcosec³x)
x approaches 0
Answers
The limit lim(x approaches 0) (cosec(2x) - x*cosec³(x)) is undefined.
We have,
To evaluate the limit of the expression as x approaches 0, we can simplify the expression first.
The expression is given as lim(x approaches 0) (cosec(2x) - x cosec³(x)).
Using trigonometric identities, we can rewrite cosec(2x) as 1/sin(2x) and cosec³(x) as 1/(sin(x))³.
Substituting these into the expression,
We get lim(x approaches 0) (1/sin(2x) - x (1/(sin(x))³)).
Now, let's evaluate the limit term by term:
lim(x approaches 0) (1/sin(2x)) = 1/sin(0) = 1/0 (which is undefined).
lim(x approaches 0) (x (1/(sin(x))³))
= 0 (1/(sin(0))³)
= 0 x 1/0 (which is also undefined).
Since both terms of the expression are undefined as x approaches 0, we cannot determine the limit of the expression.
Therefore,
The limit lim(x approaches 0) (cosec(2x) - x*cosec³(x)) is undefined.
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The scale on a map is 1 inch = 40 miles. If two towns are 90 miles apart, how far apart on the map should they be?
please help
Answers
Answer: 2.25
Step-by-step explanation: This is because 2.25*40 is 90
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