1 ml =

a

litres


ii)

b

ml = 1 litre


iii) 1 cl =

c

litres


iv)

d

cl = 1 litre


v) 1 cl =

e

ml


vi)

f

cl = 1 ml

Answer:

---------------------

The angle formed by a tangent and secant is half the difference of the intercepted arcs:

Find the measure of ∠MLJ by substituting 4 for x in the angle measure:

Answer:

Angle P = 143º

Angle Q = 37º

Step-by-step explanation:

Linear pair means the angles add up to 180º

So, using this, set up the equation: 7x - 4 + 2x - 5 = 180

Combine Like Terms

9x - 9 = 180

Add on both sides

9x = 189

Divide

189/9 = 21

Substitute 21 for x

Angle P: 7(21) - 4

Angle Q: 2(21) - 5

Answer:

hope you got the answer!

I found this because I had the same question and needed help!

The expression is simplified to give 2(9x + 2√3x - 5)

First, we need to know that surds are mathematical forms that can no longer be simplified to smaller forms

From the information given, we have that;

(2√3x - 2)(3√3x + 5)

expand the bracket, we get;

6√9x² + 5(2√3x) - 6√3x - 10

Find the square root factor

6(3x)  + 10√3x - 6√3x - 10

collect the like terms, we have;

18x + 4√3x - 10

Factorize the expression, we have;

2(9x + 2√3x - 5)

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Answer:

You find the zeros of a quadratic functions by factoring the function. And once you have factored the function you take the factors and flip the signs. For example, you have the factors (x-4) and (x+3).

Drop the parentheses and make x equal to zero.

x - 4 = 0                                        x - 3 = 0

Solve it like a one step equation.

x - 4 = 0                        x - 3 = 0

 + 4    +4                         +3    +3

= 4                                    = 3

Then turn into coordinates.

 x y         x y

(4,0)       (3,0)

Note that the zero's are the x-intercepts. I labeled x above the first part of the coordinate to show where the x-intercepts should and the same with the y.

Step-by-step explanation:

The probabiliti tha a coun is heads is 1/2 so the probability that that happen 10 times in row we have to multiply the probabilities so:

Answer:

433345344 Answer

Step-by-step explanation:

The particular solution to the non-homogeneous equation is:

y_p(x) = [(3/2)*ln(x)*cos(x) + (3/2)sin(x)/x + C1](x^(1/2)*sin(x) - (1/2)*x^(1/2)*cos(x)) - [(3/2)*ln(x)*sin(x) - (3/2)cos(x)/x + C2](x^(1/2)*cos(x) + (1/2)*x^(1/2)*sin(x))

To use the method of variation of parameters, we first need to find the general solution to the homogeneous equation:

x^2y'' + xy' + (x^2 - 0.25)y = 0

We assume a solution of the form y = e^(r*x), then substitute this into the equation and get the characteristic equation:

r^2 + r - 1/4 = 0

Solving for r gives us r = (-1 ± sqrt(5))/2. Thus, the general solution to the homogeneous equation is:

y_h(x) = c1*x^(1/2)sin(x) + c2x^(1/2)*cos(x)

To find a particular solution to the non-homogeneous equation, we assume a solution of the form:

y_p(x) = u(x)*y1(x) + v(x)*y2(x)

where y1(x) and y2(x) are the two linearly independent solutions to the homogeneous equation, and u(x) and v(x) are functions to be determined.

We can calculate the first and second derivatives of y_p(x) as:

y_p'(x) = u'(x)*y1(x) + v'(x)*y2(x) + u(x)*y1'(x) + v(x)*y2'(x)

y_p''(x) = u''(x)*y1(x) + v''(x)y2(x) + 2u'(x)y1'(x) + 2v'(x)*y2'(x) + u(x)*y1''(x) + v(x)*y2''(x)

Substituting y_p(x), y_p'(x), and y_p''(x) into the non-homogeneous equation and simplifying, we get:

u'(x)*x^(3/2)*sin(x) + v'(x)*x^(3/2)*cos(x) = 3x^(3/2)*sin(x)

Solving for u'(x) and v'(x), we get:

u'(x) = 3cos(x)/(2x) and v'(x) = -3sin(x)/(2x)

Integrating both sides, we get:

u(x) = (3/2)*ln(x)*cos(x) + (3/2)*sin(x)/x + C1

v(x) = (-3/2)*ln(x)*sin(x) + (3/2)*cos(x)/x + C2

where C1 and C2 are constants of integration.

Therefore, the particular solution to equation is:

y_p(x) = [(3/2)*ln(x)*cos(x) + (3/2)sin(x)/x + C1](x^(1/2)*sin(x) - (1/2)*x^(1/2)*cos(x)) - [(3/2)*ln(x)*sin(x) - (3/2)cos(x)/x + C2](x^(1/2)*cos(x) + (1/2)*x^(1/2)*sin(x))

where C1 and C2 are constants of integration.

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The prοbability οf hοlding 2 aces and 3 jacks is , P(2 aces and 3 jacks) = number οf hands with 2 aces and 3 jacks / tοtal number οf pοssible hands = 24 / 2,598,960 = 0.00001 (rοunded tο 5 decimal places).

Tο calculate this prοbability, we first need tο find the tοtal number οf pοssible 5-card hands. There are 52 cards in a deck, and we are selecting 5 οf them, sο the tοtal number οf pοssible hands is given by the cοmbinatiοn fοrmula: C(52, 5) = 2,598,960

Next, we need tο cοunt the number οf hands that cοntain exactly 3 aces. There are 4 aces in a deck, and we need tο chοοse 3 οf them. Once we have chοsen 3 aces, we need tο select 2 nοn-aces frοm the remaining 48 cards. Sο, the number οf hands with exactly 3 aces is given by:

C(4, 3) x C(48, 2) = 4 x 1,128 = 4,512

Therefοre, the prοbability οf hοlding exactly 3 aces is:

P(exactly 3 aces) = number οf hands with exactly 3 aces / tοtal number οf pοssible hands

= 4,512 / 2,598,960

= 0.00173 (rοunded tο 5 decimal places)

b. Prοbability οf hοlding 4 hearts and 1 club:

Tο calculate this prοbability, we again start with the tοtal number οf pοssible hands. There are 13 hearts and 13 clubs in a deck, sο the number οf ways tο chοοse 4 hearts and 1 club is:

C(13, 4) x C(13, 1) = 715 x 13 = 9,295

Nοw we need tο chοοse 5 cards οut οf the deck, sο the tοtal number οf pοssible hands is: C(52, 5) = 2,598,960

Therefοre, the prοbability οf hοlding 4 hearts and 1 club is:

P(4 hearts and 1 club) = number οf hands with 4 hearts and 1 club / tοtal number οf pοssible hands

= 9,295 / 2,598,960

= 0.00357 (rοunded tο 5 decimal places)

c. Prοbability οf hοlding 2 aces and 3 jacks:

Tο calculate this prοbability, we need tο cοunt the number οf hands that cοntain 2 aces and 3 jacks. There are 4 aces and 4 jacks in a deck, sο the number οf ways tο chοοse 2 aces and 3 jacks is:

C(4, 2) x C(4, 3) = 6 x 4 = 24

Once we have chοsen 2 aces and 3 jacks, we need tο select 5 - 2 - 3 = 0 cards frοm the remaining 44 cards. There is οnly 1 way tο dο this (chοοse nο cards). Sο, the number οf hands with 2 aces and 3 jacks is:

24 x 1 = 24

Therefοre, the prοbability οf hοlding 2 aces and 3 jacks is:

P(2 aces and 3 jacks) = number οf hands with 2 aces and 3 jacks / tοtal number οf pοssible hands = 24 / 2,598,960 = 0.00001 (rοunded tο 5 decimal places)

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Answer:

Yes, the rule is that x-coordinates cannot repeat, but it does not matter with y-coordinates

Step-by-step explanation:

If you graph this, it will pass the vertical line test. Please mark the brainliest if this helped!

Answer:

It is $46 per video game because 92 divided by 2 is 46.

Step-by-step explanation:

Answer:

the answer is d

Step-by-step explanation:

The colorimeter detects the voltage created when sunlight penetrates the specimen, so the voltage created is exactly proportional to the absorbance of the sample.

When charged electrons (current) are forced through a conducting loop by the weight of an electrical raceway power source, they can perform tasks like lighting a lamp. In a nutshell, voltage equals pressure and is expressed in volts (V).

Here,

The voltage generated by the uv spectrophotometer is inversely proportionate to the amount of light present and linearly proportional to the sample's absorbance.

This indicates that as the sample's absorbance rises, so does the energy the colorimeter generates.

Similar to this, the voltage generated by the colorimeter rises as light strength falls.

The Beer-Lambert Law, which says that a sample's absorbance is directly proportional to its concentration of the absorbing substance and its path length and inversely proportional to incident light intensity, describes this connection.

The colorimeter detects the voltage created when sunlight penetrates the specimen, so the voltage created is exactly proportional to the absorbance of the sample.

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The complete question is

"Find the general solution of the given differential equation

y''-y=0, y1(t)=e^t , y2(t)=cosht

The function \(y(t)=e^t\)  is the solution of the given differential equation.

The function y(t)=cosht is the solution of given differential equation.

The function is a type of relation, or rule, that maps one input to specific single output.

Given;

\(y_1(t) = e^t\)

Given differential equations are,

y''-y = 0

 So that,  

\(y' (t) = e^t, y'' (t) = e^t\)

Substitute values in the given differential equation.

\(e^t -e^t=0\)

Therefore, the function \(y(t)=e^t\)  is the solution of the given differential equation.

Another function;

\(y(t)=cosht\)  

So that,  

\(y"(t)=sinht\\\\y"(t)=cosht\)

Hence, function y(t)=cosht is solution of given differential equation.

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The two way table given by option z is a possible representation of the data collected.

A relative frequency is calculated as the division of the number of desired outcomes by the number of total outcomes.

From the first table, we have that:

Then, for the basic packages, we have that resorts were chosen 2.5 times more than tours, while cruises were chosen 1.5 times more than tours.

Option z shows these same ratios between the amounts, hence it is the correct option.

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The probability of washing dishes by me tonight will take between 15 and 16 minutes is 14.29%.

The term "uniform distribution" refers to a type of probability distribution in which the likelihood of each potential result is equal.

Let's consider, the lower limit for this distribution as a and the upper limit for this distribution as b.

The following formula gives the likelihood that we will discover a value for X between c and d,

\(P(c\leq X\leq d)=\frac{d-c}{b-a}\)

Given the time it takes me to wash the dishes is 11 minutes and 18 minutes. From this, a = 11 and b = 18.

Then,

\(P(15\leq X\leq 16)=\frac{16-15}{18-11}=0.1429=14.29\%\)

The answer is 14.29%.

The complete question is -

The time it takes me to wash the dishes is uniformly distributed between 11 minutes and 18 minutes. What is the probability that washing dishes tonight will take me between 15 and 16 minutes?

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The resolution for the given measurements is approximately 2.53%.

To find the resolution in percentage for the given measurements, we can use the formula:

Resolution (%) = [(Xmax - Xmin) / Xreal] * 100

First, let's determine the maximum (Xmax) and minimum (Xmin) values from the measurements: Xmax = 2.02 Xmin = 1.97

Substituting these values into the formula, we have: Resolution (%) = [(2.02 - 1.97) / 1.98] * 100

Simplifying the calculation: Resolution (%) = (0.05 / 1.98) * 100 Resolution (%) ≈ 2.53%

Therefore, the resolution for the given measurements is approximately 2.53%.

Resolution is a measure of the precision or consistency of the measurements. In this case, the resolution tells us that the range of the measured values (between 1.97 and 2.02) is about 2.53% of the true value (1.98). A smaller resolution indicates higher precision, as the measured values are closer to each other and to the true value. Conversely, a larger resolution implies lower precision and greater variability in the measurements. It is important to consider the resolution when assessing the reliability and accuracy of experimental results, as it provides insights into the quality and consistency of the data.

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Answer:

B.

Step-by-step explanation:

Answer:

1 1/3 tubs per min.

2 mph.

50 mph.

9 cups per bag.

Step-by-step explanation:

Multiply the numerator of the first number by the denominator of the second number, then divide the product by the denominator of the first number. Hope this helps :)

An area of mathematics that studies how competing parties interact is known as "game theory."

Game theory analyzes strategic decision-making in situations where multiple participants, known as players, make choices that affect each other's outcomes. It examines the interactions, strategies, and outcomes of these competitive or cooperative situations.

Game theory provides mathematical models and frameworks to analyze various scenarios, such as conflicts, negotiations, auctions, voting systems, and economic markets. It studies the behavior of rational players, their objectives, and the choices they make to maximize their own outcomes, considering the actions and reactions of other players.

The field of game theory explores concepts such as strategies, payoffs, Nash equilibrium, dominant strategies, and cooperative or non-cooperative games. It aims to predict and understand the behavior and outcomes of competitive situations and provides insights into decision-making, resource allocation, and the dynamics of interactions between individuals, organizations, or even nations.

Overall, game theory serves as a valuable tool in various disciplines, including economics, political science, psychology, and computer science, to analyze and model situations where competing parties interact.

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The probability that fewer than 70 out of 400 households are watching the series, use =BINOM.DIST(69,400,0.2,TRUE) in Excel.

To solve this problem using Excel, you can utilize the binomial distribution function. The binomial distribution calculates the probability of obtaining a certain number of successes in a fixed number of trials, given a specific probability of success.

In this case, the probability of a household watching the series on a regular basis is 20%, or 0.2. You want to find the probability that fewer than 70 households out of 400 are watching the series regularly.

To calculate this probability in Excel, you can use the following formula:

=BINOM.DIST(69,400,0.2,TRUE)

Here's how the formula works:

The number 69 represents the maximum number of successes (households watching the series) you want to calculate the probability for (fewer than 70).

The number 400 represents the total number of trials (randomly selected households).

The number 0.2 represents the probability of success (probability of a household watching the series on a regular basis).

TRUE as the fourth argument specifies that you want to calculate the cumulative probability of getting fewer than 70 successes.

By entering this formula in an Excel cell, you will obtain the probability rounded to four decimal places.

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In a plane geometry, points, lines and planes may or may not intersect.

Intersecting lines

These are lines that have a point of intersection.

From the diagram, the following lines are intersecting lines

Intersection of planes QRBA and TSRQ

This is the line where QRBA and TSRQ intersects

From the diagram, we can see that QRBA and TSRQ intersect at line QR

Three noncollinear points

These are points that are not on the same line.

Several points from the diagram are noncollinear, three of them are:

Points Q, S and B

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Completing the equation below by writing an expression equivalent to the length of a, the leg of a right triangle is given below

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry.

According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

Hence, the complete equation according to this theorem is given above.

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nonononononononnnono

Answer:

4x - 7 = 13

4x = 13 + 7

4x = 20 (divide both sides by 4 to get x)

4x/4 = 20/4

x = 5

Step-by-step explanation:

Answer:

124, I think

Step-by-step explanation:

you set them equal to each other and solve for x, then substitute in for A. if this is wrong please let me know

The conditions for a sampling distribution of a sample mean, when you know the true involve random sampling, independence, and a large enough sample size.

The conditions for a sampling distribution of a sample mean, when you know the true mean, are as follows:

1. Random Sampling:

The samples should be selected randomly from the population to ensure that they are representative of the entire population.

2. Independence:

Each sample should be independent of the others.

This means that the outcome of one sample should not influence the outcome of another sample.

3. Sample Size:

The sample size should be large enough to ensure that the sampling distribution approximates a normal distribution.

In general, a sample size greater than 30 is considered sufficient.

Random sampling is important because it helps to minimize bias and ensure that the sample is representative of the population.

Independence is necessary to avoid any potential confounding factors that may influence the results.

Lastly, a sufficiently large sample size is needed to satisfy the central limit theorem, which states that as the sample size increases, the sampling distribution of the sample mean approaches a normal distribution.

These conditions are important to ensure the validity and reliability of the statistical analysis.

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Answer: \(18^{\circ}\)

Step-by-step explanation:

In triangle RUV, angle RUV is a right angle (and thus measures 90 degrees), and angle RVU measures 72 degrees.

Since angles in a triangle add to 180 degrees, angle VRU measures

Answer: i think 4.54cm

Step-by-step explanation:

We can see that right side is equal to the left side by converting the left side into sines and cosinesso the identity is verified. Therefore, we have 5 cot(x)/sec(x) = 5 csc(x) − 5 sin(x), is true for all values of x where the expressions are defined.

To verify the identity 5 cot(x)/sec(x) = 5 csc(x) − 5 sin(x), we need to find a common denominator, which is sin(x). Multiplying the first term by sin(x)/sin(x), we get:
(5sin(x))/sin(x) - 5sin(x)
= 5 - 5sin^2(x)/sin(x)
= 5cos^2(x)/sin(x)

To verify the identity 5cot(x)/sec(x) = 5csc(x) - 5sin(x), we will convert the left side into sines and cosines and simplify at each step.
Step 1: Replace cot(x) and sec(x) with their equivalent expressions in terms of sine and cosine.
cot(x) = cos(x)/sin(x)
sec(x) = 1/cos(x)

5cot(x)/sec(x) = 5(cos(x)/sin(x)) / (1/cos(x))

Step 2: Simplify the expression by multiplying the numerator and denominator by cos(x).
5(cos(x)/sin(x)) * (cos(x)/1) = 5(cos^2(x)/sin(x))

Step 3: Use the Pythagorean identity: sin^2(x) + cos^2(x) = 1
Replace cos^2(x) with 1 - sin^2(x).
5(1 - sin^2(x))/sin(x)

Step 4: Distribute the 5 through the expression.
5 - 5sin^2(x)/sin(x)

Step 5: Replace 5sin^2(x)/sin(x) with 5sin(x).
5 - 5sin(x)

Now we see that the left side has been simplified to 5csc(x) - 5sin(x), which is the same as the right side. Therefore, the identity is verified:
5cot(x)/sec(x) = 5csc(x) - 5sin(x)

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The correlation coefficient that indicates the strongest relationship between two variables is a. -1.0.

The correlation coefficient is a numerical measure that quantifies the relationship between two variables. It ranges from -1 to +1, where -1 indicates a perfect negative correlation, +1 indicates a perfect positive correlation, and 0 indicates no correlation.

In this case, a correlation coefficient of -1.0 represents a perfect negative correlation, meaning that the two variables have a strong, linear relationship where as one variable increases, the other decreases in a perfectly predictable manner. This indicates a very strong and consistent inverse relationship between the variables.

In comparison, a correlation coefficient of 0.80 indicates a strong positive correlation, but it is not as strong as a perfect negative correlation of -1.0. A correlation coefficient of 0.1 suggests a weak positive correlation, while a correlation coefficient of -0.45 indicates a moderate negative correlation.

Therefore, out of the given options, the correlation coefficient of -1.0 represents the strongest relationship between two variables.

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