If line segment KL is tangent to circle J, find the value of x.

Answer:

5 problems

Step-by-step explanation:

20=%80

10=%40

5=%20

100-80=20

20+5=25

5 problems left

We have shown that dfp(w) = (2w, p - p0). To show that dfp(w) = (2w, p - p0), where f: S -> R is defined by f(p) = |p - p0|^2, we need to compute the derivative of f at point p in the direction of vector w.

Using the definition of the derivative, we have:

dfp(w) = lim(h->0) [f(p + hw) - f(p)] / h

First, let's compute f(p + hw):

f(p + hw) = |(p + hw) - p0|^2

= |p + hw - p0|^2

Expanding the square, we have:

|p + hw - p0|^2 = (p + hw - p0) dot (p + hw - p0)

= (p + hw - p0, p + hw - p0)

Next, let's compute f(p):

f(p) = |p - p0|^2

= (p - p0, p - p0)

Now, let's substitute these values back into the derivative expression:

dfp(w) = lim(h->0) [(p + hw - p0, p + hw - p0) - (p - p0, p - p0)] / h

Expanding and simplifying, we get:

dfp(w) = lim(h->0) [(2h(p - p0), w) + (h^2w, w)] / h

Canceling the h terms, we have:

dfp(w) = 2(p - p0, w) + h(w, w)

Finally, taking the limit as h approaches 0, the second term vanishes:

dfp(w) = 2(p - p0, w)

Therefore, we have shown that dfp(w) = (2w, p - p0).

Learn more about vector here:

https://brainly.com/question/24256726

#SPJ11

The value of all the missing angles in the triangles are;

∠1 = 37°

∠6 = 30°

∠4 = 63°

∠3 = 133°

We know that the sum of angles in a triangle is equal to 180 degrees. Thus, with this knowledge, we can find the angles 1 and 6.

Therefore;

∠1 = 180 - (70 + 73)

∠1 = 180 - 143

∠1 = 37°

∠6 = 180° - (107° + 43°)

∠6 = 180° - 150°

∠6 = 30°

Now, we know that sum of angles on a straight line is 180 degrees. Thus, we can find angle 4 as follows;

∠4 = 180° - (65° + 42°)

∠4 = 180° - 117°

∠4 = 63°

∠3 = 90 + 43

∠3 = 133°

Thus, the conclusion is that the missing angles are ∠1 = 37°, ∠6 = 30°, ∠4 = 63°, ∠3 = 133°

Read more about missing angles at; https://brainly.com/question/28293784

#SPJ1

Step-by-step explanation:

-7b=21

Divide both sides by - 7

B= -3

The given identity is not true for all values of \(`x`\).

To verify the given identity when \(`x = 6π/7`\), substitute the value of \(`x`\) in the given identity.

So,

\(`cos2(x) = cos2(6π/7)`\\ `cos(2x) = cos(2 × 6π/7) \\\\ cos(12π/7)`\\Now, \\`cos(12π/7) = cos(7π − 5π/7) \\ − cos(5π/7)`\)

Using the power reducing formula,

\(`cos2(θ) = 2(1 + cos(2θ)\\ = 1 + cos(2θ)`\\So, \\`cos2(6π/7) = 1 + cos(2 × 6π/7)\\ = 1 + cos(12π/7) \\= 1 − cos(5π/7)`.\)

Hence, the given identity is verified when \(`x = 6π/7`\).

(b) Now, we need to plot the graph of \(`f(x) = cos2(x) − 2/(1 + cos(2x))`\) on the indicated domain. The given identity states that \(`f(x)`\) should be 0 for all values of \(`x`\).

We can substitute a few values of \(`x` $ in `f(x)`\) and check if we get \(`0`\) or not. If we get \(`0`\), then we can conclude that the identity holds true for all values of \(`x`\).  

However, it may be possible that we don't get \(`0`\) for some value of \(`x`\) because the function \(`f(x)`\) is undefined for some values of \(`x`\) (because of the denominator

\(`1 + cos(2x)`).\)

Therefore, we need to check the domain of the given function first. The denominator \(`1 + cos(2x)`\) should not be equal to \(`0`\).

Therefore, \(`cos(2x) ≠ −1`or `2x ≠ π`or `x ≠ π/2`\)  

So, the domain of \(`f(x)` is `R − {π/2}`\).

Now, we can check a few values of \(`x`\) to see if \(`f(x)`\) is \(`0`\) or not. If it is not \(`0`\), then we need to explain why it is not \(`0`\).

Let's check \(`x = 0`.\\`f(0) = cos2(0) − 2/(1 + cos(2 × 0))\\ = 1 − 2/(1 + 1) \\= 1/2 ≠ 0`\)

Let's check \(`x = π/4`.\\`f(π/4) = cos2(π/4) − 2/(1 + cos(2 × π/4))\\ = (1/2)2 − 2/(1 + 0) \\= 1/2 − 2 \\= −3/2 ≠ 0`\)

We can also see that the graph of \(`f(x)`\) is not symmetric about the y-axis. Therefore, the identity does not hold true for all values of \(`x`\).

Hence, the given identity is not true for all values of \(`x`\).

To know more about identity visit:

https://brainly.com/question/11539896

#SPJ11

Answer:

7 and 23 or 11 and 19

Step-by-step explanation:

First, let's determine the prime numbers between 1 and 30.

2, 3, 5, 7, 11, 13, 17, 19, 23, and 29 are all the prime numbers between 1 and 30.

We can now see that 7 and 23 add up to 30.

But 11 and 19 also works.

Hope this helped!!

Answer:

Step-by-step explanation:

Let the shorter sides be x.

The angle at common vertex of congruent sides is less than 90°, since it is acute triangle.

It means the other congruent angles are greater than 45°, according to angle sum theorem.

The vertical bisector divides the triangle in half, with base 8/2 = 4 cm and hypotenuse x.

It gives us the inequality:

Correct choice is D

Answer: 2.44736

Step-by-step explanation:

The relationship that describes angles 1 and 2 are vertical angles.

Vertical angles are angles opposite each when two lines cross each other. A supplementary angle is an angle that adds up to 180. A complementary angle adds up to 90 degrees.

Answer:

8 gallons per minute

Step-by-step explanation:

24 gallons in 3 minutes

you divide 24 by 3 which is 8

40 gallons in 5 minutes

you divide 40 by 5 which is 8

the relationship is that in both the answer was 8 as in 8 gallons per minute

Answer:

c

Step-by-step explanation:

Answer:

he was complete dog water box like a fish  o earnings

Step-by-step explanation:

Answer:

number to get a better price

Answer:

if I'm not wrong,then this is the equation

Step-by-step explanation:

CP=5000

SP=5085

VAT=13℅

now,

VAT amount=VAT℅ OF SP

=13℅ OF 5085

=13/100*5085

=rs.661.05

again,

profit℅= SP-CP/CP*100℅

=85/500*100

=17℅ answer

a) The transition matrix for the Markov chain representing the end of a volleyball game can be constructed based on the given states. The matrix will have dimensions 6x6, with each element representing the probability of transitioning from one state to another. The transition probabilities depend on the probabilities of winning rallies for each team. The resulting transition matrix is as follows:

[ 0 0 0 0 1 0 ] [ 0 0 0 0 0 1 ] [ p 0 0 0 0 1-p ] [ 0 q 0 0 1-q 0 ] [ 0 0 0 0 1 0 ] [ 0 0 0 0 0 1 ]

In this matrix, each row represents a current state, and each column represents a possible next state. The element in the i-th row and j-th column represents the probability of transitioning from state i to state j.

b) To find the probability that the game will not be finished after three rallies when team B is serving and both teams are tied 15-15, we need to calculate the probability of being in the states "tied - B serving" after three rallies. Using the given transition matrix and probabilities p = q = 0.65, we can perform matrix multiplication to obtain the state probabilities after three transitions.

Starting with an initial state vector [0 0 0 1 0 0], representing being in the state "tied - B serving," we multiply it by the transition matrix three times to find the state probabilities after three rallies. The probability of the game not being finished is the sum of the probabilities in the states "tied - B serving," "A ahead by 1 point - A serving," and "B ahead by 1 point - B serving."

Performing the calculations, the probability that the game will not be finished after three rallies is approximately 0.1721 or 17.21%.

To learn more about probability click here:

brainly.com/question/31828911

#SPJ11

The transition matrix for the Markov chain representing the end of a volleyball game, considering rally point scoring, can be derived based on the six states described: 1) tied - A serving, 2) tied - B serving, 3) A ahead by 1 point - A serving, 4) B ahead by 1 point - B serving, 5) A wins the game, and 6) B wins the game.

.

(a) To construct the transition matrix for the Markov chain, we consider the possible transitions between the six states. The matrix will have dimensions 6x6, with each element representing the probability of transitioning from one state to another. For example, the probability of transitioning from state 1 (tied - A serving) to state 2 (tied - B serving) can be calculated based on the probabilities p and q mentioned in the problem statement. By considering all possible transitions, the complete transition matrix can be obtained.

(b) In this scenario, we start with state 2 (tied - B serving) and need to find the probability that the game will not be finished after three rallies. To calculate this probability, we can use the transition matrix obtained in part (a) and perform matrix multiplication. By multiplying the initial state vector (corresponding to state 2) with the transition matrix three times, we can find the probabilities of ending up in each state after three rallies. The probability of the game not being finished after three rallies would be the sum of the probabilities in states 1 and 2, which represent tied scores.

to learn more about Markov chain click here

brainly.com/question/30465344

#SPJ11

Answer:

The formula for the area of a circle is:

A = πr^2

where A is the area and r is the radius.

In this case, we are given that the area is 4π cm². Solving for the radius, we get:

4π = πr^2

r^2 = 4

r = 2

So the radius of the circle is 2 cm.

The formula for the circumference of a circle is:

C = 2πr

Plugging in the value for the radius, we get:

C = 2π(2) = 4π

Therefore, the circumference of the circle is 4π cm.

Answer:

64839 time is mistake for girls

Step-by-step explanation:

mark me BRAINLIEST

Answer:for school fundraiser ,you sold 33 raffle tickets and you friend sold 15 raffle tickets write the ratio of tickets you sold to tickets your friend sold as a fraction in simplest form

A n s w e r:

y = 8

Hope this helps!

Answer:

C) 4t + 5.75 = 65

Step-by-step explanation:

This equation is correct because it adds together the price of one popcorn and the price of the 4 tickets as 4t.

A and B are wrong because only t should be multiplied by 4, and D is wrong because it subtracts the price of the popcorn.

Answer:

A. 4(t + 5.75) = 65

Answer:

2x + 8y

Step-by-step explanation:

5x + 5y - 3x + 3y

5x - 3x + 5y + 3y

2x + 8y

Answer:

18 / 5

Step-by-step explanation:

3

= 3 / 1

= ( 3 / 1 ) x ( 5 / 5 )

= ( 3 x 5 ) / ( 1 x 5 )

= 15 / 5

3 + 3 / 5

= 15 / 5 + 3 / 5

= ( 15 + 3 ) / 3

= 18 / 5

Answer:

\( fractional \: form \: = 3 \frac{3}{5}

\\ decimal \: form \: = 3.6\)

If completion times for a certain marathon race was 3 hours with a standard deviation of 0.5 hours , then At least 75% of the completion times are between 2 hours and 4 hours , the correct answer is (a) .

The Chebyshev's inequality, for any data set and any value k greater than 1, at least 1 - 1/k² of the data values lie within k standard deviations of the mean.

In this case, we can use Chebyshev's inequality with k=2 ,

Using k=2, we have ,

⇒ At least 1 - 1/k² = 1 - 1/2² = 1 - 1/4 = 0.75 = 75% ,

So , at least 75% of the completion time lies between, (μ ± 2σ) ,

Substituting the values of mean (μ) = 3 and σ = 0.5 ,

We get ;

⇒ 3 ± 2×0.5

⇒  3 ± 1

⇒ (2,4)

So, At least 75% of the completion time are between 2 hours and 4 hours

Therefore, the correct answer is (a) At least 75% of the completion times are between 2 hours and 4 hours.

Learn more about Chebyshev's Inequality here

https://brainly.com/question/30679239

#SPJ4

The given question is incomplete , the complete question is

The completion times for a certain marathon race was 3 hours with a standard deviation of 0.5 hours.

What can you determine about these data by using Chebyshev's Inequality with k=2?

(a) At least 75% of the completion times are between 2 hours and 4 hours

(b) At least 88.9% of the completion times are between 2 hours and 4 hours

(c) At most 88.9% of the completion times are between 2 hours and 4 hours

(d) No more than 75% of the completion times are between 2 hours and 4 hours.

There are 92 bit strings of length 8 that start with a 11 or end with 000.

We can solve this problem using the principle of inclusion-exclusion. Let A be the set of bit strings of length 8 that start with 11, and let B be the set of bit strings of length 8 that end with 000. We want to find the size of the union of A and B.

The number of bit strings of length 8 that start with 11 is 2^6, since there are 6 remaining bits that can be either 0 or 1. The number of bit strings of length 8 that end with 000 is also 2^5, since there are 5 remaining bits that can be either 0 or 1.

However, we have counted the bit strings that both start with 11 and end with 000 twice. To correct for this, we need to subtract the number of bit strings of length 8 that start with 11000, which is 2^2.

Therefore, the number of bit strings of length 8 that start with a 11 or end with 000 is:

|A ∪ B| = |A| + |B| - |A ∩ B|

= 2^6 + 2^5 - 2^2

= 64 + 32 - 4

= 92

So there are 92 bit strings of length 8 that start with a 11 or end with 000.

Learn more about strings here

https://brainly.com/question/31359008

#SPJ11

There are 88 bit strings of length 8 that start with "11" or end with "000."

To determine the number of bit strings of length 8 that start with "11" or end with "000," we can use the principle of inclusion-exclusion.

Let's consider the two conditions separately:

Bit strings that start with "11":

In this case, the first two bits are fixed as "11." The remaining 6 bits can be either 0 or 1, giving us 2^6 = 64 possibilities.

Bit strings that end with "000":

Similarly, the last three bits are fixed as "000." The first 5 bits can be either 0 or 1, resulting in 2^5 = 32 possibilities.

However, we have counted some bit strings twice because they satisfy both conditions (start with "11" and end with "000"). These bit strings have a length of at least 5 (3 bits in the middle), and there are 2^3 = 8 possibilities for these middle bits.

By using the principle of inclusion-exclusion, we can compute the total number of bit strings satisfying either condition as follows:

Total = Bit strings starting with "11" + Bit strings ending with "000" - Bit strings satisfying both conditions

= 64 + 32 - 8

= 88

Know more about 88 bit strings here:

https://brainly.com/question/15578053

#SPJ11

Answer: r=2.62 cm

Step-by-step explanation:

Cylinder Volume: V=πhr^2

179=π(8.3)r^2

179=8.3*3.14*r^2

179=26.062r^2

r^2=6.87

r=2.62 cm

Answer: About 94% of the variation in beach visitors can be explained by a positive linear relationship with daily temperature.

The correlation coefficient, r, is 0.969.

Step-by-step explanation:

The correct set of statements is:

About 94% of the variation in beach visitors can be explained by a positive linear relationship with daily temperature. The correlation coefficient, r, is 0.969.

The \(r^2\) value, also known as the coefficient of determination, indicates the proportion of the variation in the dependent variable (beach visitors) that can be explained by the independent variable (daily temperatures). In this case, a \(r^2\) value of 0.9382 means that approximately 93.82% of the variation in beach visitors can be explained by the variation in daily temperatures.

The correlation coefficient, denoted as r, measures the strength and direction of the linear relationship between the two variables. The statement correctly states that the correlation coefficient, r, is 0.969, which indicates a strong positive linear relationship between beach visitors and daily temperatures.

Therefore, the set of statements "About 94% of the variation in beach visitors can be explained by a positive linear relationship with daily temperature. The correlation coefficient, r, is 0.969." is true based on the given information.

Learn more about correlation and coefficient here:

https://brainly.com/question/31891074

#SPJ12

Answer:

Ok so you have to do this

Step-by-step explanation:

Answer:

Each banana would weigh ¼ of a pound

Step-by-step explanation:

If there are three bananas that all equal ¾ of a pound, then ¾÷3=¼

Answer:

c

Step-by-step explanation:

The graph of the inequality y > 3/5x - 2 includes the origin also and the shaded region is above the line for the graph that is attached below.

Inequality:

Inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

While we plot the inequality on the graph instead of make a line it will make the shaded region on it.

Given,

Here we have the inequality. y > 3/5x - 2

Now, we need to determine whether the origin is included in the shaded region and whether the shaded region is above or below the line for the graph of the inequality.

In order to solve this, first we have to plot the graph for this inequality.

To plot the graph for the inequality here, we have to use the graphing calculator.

Then we get the graph like the following.

While we looking in the graph we have identified that the origin (0,0) is included in the shaded region.

And the shaded region will be placed above the line for the inequality.

Which means the resulting values of he inequality are placed upwards.

To know more about Inequality here.

https://brainly.com/question/28823603

#SPJ1