find the exact side values?

The key difference between continuous and differentiable functions is that a function can be continuous without being differentiable, but a function cannot be differentiable unless it is continuous.

In calculus, a function is supposed to be continuous in the event that there are no unexpected leaps or breaks in its chart. This truly intends that as the values of the free factor (normally meant as x) move toward a given point, the values of the dependent variable (generally indicated as y) likewise approach a comparing esteem with next to no unexpected jumps or gaps.

On the other hand, a function is supposed to be differentiable in the event that it has an obvious derivative at each point in its space. The derivative of a capability portrays how the capability changes for little changes in the free factor. A function is differentiable assuming it has a tangent line at each point in its space, and that implies that the capability is smooth and has no sharp turns or corners.

Learn more about calculus:

https://brainly.com/question/30489940

#SPJ4

It will take Sienna Rose 6 years and 3 months for her money to grow to $7000 at an annual interest rate of 3.60%, compounded monthly.

To remedy this hassle, we are able to use the formula for compound interest:

a = [tex]p(1 + r/n)^{(nt)[/tex]

where a is the quantity of money after t years, p is the initial primary, r is the once-a-year hobby rate, n is the number of times the hobby is compounded in keeping with 12 months, and t is the time in years. In this example, we recognize that sienna rose invests $4000 at an annual interest charge of three. 60%, compounded monthly. So we've got:

P = $4000

r = 0.036

n = 12

A = $7000

we are able to remedy for t by plugging these values into the formula and fixing for t:

7000 = [tex]$4000(1 + 0.036/12)^{(12t)}[/tex]

7000/4000 = [tex](1 + 0.036/12)^{(12t)}[/tex]

1.75 = [tex](1 + 0.003)^{12t}[/tex]

ln(1.75) = 12t ln(1.003)

t = ln(1.75)/(12 ln(1.003))

t ≈ 6.25 years

Learn more about compound interest:

brainly.com/question/14295570

#SPJ4

A predator-prey dynamical system is a type of mathematical model that describes the interactions between two species in an ecosystem, where one species (the predator) hunts and consumes the other (the prey).

In a predator-prey dynamical system, the populations of the predator and prey are modeled as differential equations that describe how their populations change over time. The predator population increases as it consumes prey, while the prey population decreases due to predation. These changes in population are influenced by a variety of factors, including the availability of food, the reproductive rates of the species, and the density-dependent effects of the population on its own growth.

Predator-prey models have been used to study a wide range of ecological systems, from small-scale interactions between insects and plants to large-scale predator-prey relationships in the African savanna. They are also used in fields such as epidemiology, economics, and engineering to model other types of interacting systems.

Learn more about the predator-prey dynamical system:

https://brainly.com/question/28581822

#SPJ4

Complete question:

what is the predator-prey dynamical system?

The probability that he would have done at least this well if he had no ESP is 0.4335,

The probability of a man correctly predicting the outcome of a coin flip without having extrasensory perception (ESP) can be calculated by using probability theory.

In this case, we can calculate the probability of correctly predicting 16 or more coin flips out of 22, given that the man has no ESP. To do this, we first need to calculate the probability of correctly predicting each coin flip individually. Since each coin flip is an independent event, the probability of correctly predicting each coin flip is 0.5, or 50%.

Therefore, the probability of correctly predicting 16 or more coin flips out of 22 can be calculated as the sum of the probabilities of correctly predicting each coin flip, multiplied by the number of ways in which 16 or more coin flips can be correctly predicted. This can be expressed as

=> P(x ≥ 16) = 0.5²² x C(22, 16) + 0.5²² x C(22, 17) +…+ 0.5²² x C(22, 22),

where C is the combination operator.

Using this formula, the probability of correctly predicting 16 or more coin flips out of 22 without having ESP is 0.4335, meaning that it is highly unlikely that the man has ESP

To know more about probability here.

https://brainly.com/question/11234923

#SPJ4

Answer:

Expression: 7(-6 1/8)

Product: -42 7/8

Step-by-step explanation:

7/1×−49/8 =

−343/8 =

−42 7/8

Answer:10 cm

Step-by-step explanation:

Answer:B 24 cm

Step-by-step explanation:

A correlation between 0 and -1 or 0 and 1 indicates a weaker correlation, but still a statistically significant one.

A correlation coefficient based on an observational study can be used to support a claim of cause and effect when the correlation coefficient is statistically significant. This means that the correlation coefficient is so strong that it is unlikely to have happened by chance, and that there is likely a causal relationship between the two variables.

Mathematically, correlation coefficients are expressed as a number between -1 and 1.

A correlation coefficient of -1 indicates a perfectly negative correlation, where as one variable increases, the other decreases, and vice versa.

A correlation coefficient of 1 indicates a perfectly positive correlation where both variables move in the same direction.

To know more about correlation coefficient here.

https://brainly.com/question/15577278

#SPJ4

Using the derivative of the function, we cannot approximate the time when the concentration is highest since it does not exist.

To find the time when the concentration is highest, we need to find the maximum of the concentration function. We can do this by finding the derivative of the function and setting it to zero, and then solving for t.

First, let's find the derivative of c(t):

c'(t) = [d/dt](120t / (3t^2 + 90))

c'(t) = (120(3t^2 + 90) - 120t(6t)) / (3t^2 + 90)^2

c'(t) = (360t^2 + 10800 - 720t^2) / (3t^2 + 90)^2

c'(t) = 10800 / (3t^2 + 90)^2

Now, we set c'(t) to zero and solve for t:

10800 / (3t^2 + 90)^2 = 0

10800 = 0 (since the denominator cannot be zero)

There is no solution to this equation, which means that c'(t) never equals zero, and therefore there is no maximum or minimum value for the concentration.

However, we can use the second derivative test to confirm this result. Taking the derivative of c'(t), we get:

c''(t) = d/dt

c''(t) = [d/dt](10800 / (3t^2 + 90)^2)

c''(t) = (-2 * 10800 * 3 * 2t) / (3t^2 + 90)^3

c''(t) = -129600 / (3t^2 + 90)^3

At any value of t, the denominator is positive, so the sign of the second derivative is determined by the numerator. Since the numerator is negative for all values of t, the second derivative is negative and therefore the function is concave down for all values of t. This means that there is no maximum value for the concentration, only a minimum value of 0.

Therefore, we cannot approximate the time when the concentration is highest since it does not exist.

Learn more on derivative of a function here;

https://brainly.com/question/23819325
#SPJ1

40 g is equal to approximately 0.169 cups

To convert grams (g) to cups, you will need to know the density of the substance you are measuring. The density tells you how much of the substance is packed into a certain volume.

Without knowing the density of the substance, it is not possible to make an accurate conversion from grams to cups. However, if we assume that the substance in question has a similar density to water, we can use the following conversion formula:

1 cup = 236.6 g

To convert 40 g to cups, we can use the above formula:

40 g ÷ 236.6 g/cup = 0.169 cups

In summary, to convert grams to cups, you need to know the density of the substance. If the density is unknown, it is best to use an estimated value based on a similar substance. Using the appropriate conversion formula, you can then make an accurate conversion from grams to cups.

To know more about conversion here.

https://brainly.com/question/3477680

#SPJ4

Answer: To determine how much money each department will receive from this year's fundraiser, we need to know the percentage of the total amount raised that each department will receive. We can calculate this by dividing the amount raised by the total percentage allocated to each department. Here is an example calculation:

Assuming there are three departments - A, B, and C, and they will receive 40%, 30%, and 30% of the total amount raised, respectively.

Step 1: Calculate the total percentage allocated to all departments

40% + 30% + 30% = 100%

Step 2: Calculate how much money each department will receive based on their percentage share of the total amount raised

Department A: 40% of $160 = $64

Department B: 30% of $160 = $48

Department C: 30% of $160 = $48

So, department A will receive $64, department B will receive $48, and department C will receive $48 from this year's fundraiser.

Note: The percentage allocation for each department is assumed in this example, so you should adjust the percentage according to your specific situation.

Step-by-step explanation:

The volume of Miriam’s popcorn container is 71.875 inches³.

Volume is defined as the set of three dimensional coordinates enclosed by a two - dimensional surface. We can write the volume as -

V = ∫∫∫f(x, y, z) dxdydz

Given is that Miriam’s popcorn container is 11.5 inches high but with a base whose side length is 2.25 inches.

We can write the volume of Miriam’s popcorn container as -

V = Area of base x height

V = (2.25 x 2.25) x (11.5)

V = 71.875 inches³

Therefore, the volume of Miriam’s popcorn container is 71.875 inches³.

To solve more questions on volumes, visit the link below -

https://brainly.com/question/10498558

#SPJ1

If P(C) = 5/17, then the probability of event C occurring is 5/17.

To find the probability of an event, you need to divide the number of favorable outcomes by the total number of possible outcomes. The result is a number between 0 and 1 (inclusive) that represents the likelihood of the event occurring.

More formally, the probability of an event A can be calculated using the following formula:

P(A) = number of favorable outcomes for A / total number of possible outcomes

For example, if you roll a fair six-sided die, the probability of rolling a 4 is 1/6 because there is only one favorable outcome (rolling a 4) out of six possible outcomes (rolling a 1, 2, 3, 4, 5, or 6).

It's important to note that the above formula assumes that all outcomes are equally likely. In some cases, such as when dealing with biased or weighted dice, the probability of an event may need to be calculated using a different method.

Learn more about probability here https://brainly.com/question/24756209

#SPJ1

The correct option is option A: 2d = 12.

I apologize if this is incorrect. I hope you have a lovely day! :)

Answer:

[tex] \sf \: a) \: 2d = 12[/tex]

Step-by-step explanation:

Given information,

→ Jorge is taking a trip with Bruce.

→ Bruce eats 2 cups of food a day.

Now we have to,

→ Find the required equation.

Let us assume that,

→ d = Number of days

The equation will be,

→ 2d = 12

=> As Bruce eats 2 cups in a day.

Then the value of d will be,

→ 2d = 12

→ d = 12 ÷ 2

→ [ d = 6 ]

Hence, option (a) is correct.

Members of Baby Boomers generation are retiring at a rate of 10,000 every 24 hours and will all be 65 or older by 2030.

There are 4 generational cohorts :

Baby Boomers(1946-1964)

Thirteeners/Gen X(1965-1980)

Millenials/Gen Y(1981-1996)

Centennials/Gen Z(1997-Present)

So , by the above stated data one can clearly say that the Baby Boomers are the oldest generational cohorts. They are the generation born after Second World War.

According to the last census which was taken in 2010 , none of them turned 65 but after that about 10,000 a day have attained that threshhold and by 2030 , all of the boomers are going to attain at least the age 65.

To know more about generational cohort refer to the link:

https://brainly.com/question/16539587

#SPJ4

The expression when evaluated is 11.4

From the question, we have the following parameters that can be used in our computation:

Solve four and six tenths plus six and eight tenths = ___.

Express as numbers and operators

So, we have the following representation

4.6 + 6.8 =

Evaluate the expression

4.6 + 6.8 = 11.4

HEnce, the solution is 11.4

Read more about expression at

https://brainly.com/question/15775046

#SPJ1

Answer:

c=0.59p+2

Step-by-step explanation:

The probability that both the cameras selected are defective is 12/187 which is 0.06417.

Here total 34 cameras and of which 9 are defective.

let A(i) - be event that (i)th camera is defective

Then we have to calculate probability of both camera selected are defective that is P(A1 and A2)

P(A1∩ A2) = P(A1)*P(A2| A1)

as P( A|B) = P(A∩B)/P(B)

P(A1)=9/34  as there are total 34 and defective is 9

So, P(A2| A1) = 8/33 here we have to find probability of second selected is defective given first selected is also defective

So, as out of 34 one is already selected and defective so total 33 and of which 8 is defective, Hence probability is 8/33

P(A1∩ A2) = P(A1)*P(A2| A1)

                 = 9/34*8/33

                 =12/187

                 =0.06417

Therefore the probability that both the cameras selected are defective is =12/187 which is 0.06417.

Visit here to learn more about the probability: https://brainly.com/question/30034780

#SPJ4

The sample means represented by the red lines below the curve do not include the actual population mean μ. Out of the 25 samples, 4 of them do not have the true proportion while 21 out of the 25 do have the true mean. This means that 84% of the samples contain the true mean. The closest confidence level is 80%.

The statement refers to a statistical concept where a sample mean is compared to the true population mean. The red lines under a curve represent sample means that do not include the actual population mean. Out of 25 samples, only 21 of them contain the true mean while 4 do not. This indicates that 84% of the samples have the true mean. The closest confidence level is 80%, which suggests that there is an 80% probability that the true mean falls within the interval estimate. This information is important in statistical analysis as it helps researchers understand the accuracy of their results and make more informed decisions.

Learn more about confidence level here: brainly.com/question/22851322

#SPJ4

The value of x and y are x=[tex]\sqrt{2}[/tex] and y=2, the correct option is B.

The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.

|AC|^2 = |AB|^2 + |BC|^2    

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

We are given that;

The side of triangle =[tex]\sqrt{2}[/tex]

Now,

x=[tex]\sqrt{2}[/tex]

Since two sides of an isosceles triangle are equal

By pythagoras theorum

y^2= 2+2

y^2=4

y=2

Therefore, by pythagoras theorum the answer will be 2.

Learn more about Pythagoras theorem;

https://brainly.com/question/343682

#SPJ1

The given function[tex]Y=20(1+0.025)^x[/tex]  is an exponential gr.

What is an exponential function?

An exponential function is a mathematical function of the form [tex]f(x) = a^x[/tex], where "a" is a constant and "x" is the input variable. These functions are commonly used to model situations that involve continuous growth or decay.

In the given example you provided[tex]Y=20(1+0.025)^x[/tex] represents growth because the base of the exponential term, 1+0.025, is greater than 1. As x increases, the exponential term gets larger and the value of y increases, which indicates growth.

Hence, the given function,[tex]Y=20(1+0.025)^x[/tex]  is exponential growth.

To learn more about the exponential functions, visit:

https://brainly.com/question/2456547

#SPJ1

The solution for each parts is shown below.

Where two lines intersect, there are two vertical angles.

Given:

1. Two adjacent angles

<1 + <2 = 135

2x + 2x+ 7 = 135

4x + 7 = 135

4x = 128

x= 32

2. If one of the angles has a measure of 39° then other angle is

= 90 - 39

= 51 degree.

3. The angles are complementary.

2x + 3 + 2x = 90

4. Two complementary angles are expressed as 2x and 3x.

2x + 3x= 90

5x = 90

x = 18

So, 2x = 36 and 3x = 54 degree.

5. Angles j and k are supplementary angles.

<j + <k = 180

<j + 117 = 180

<j = 63

6. Two supplementary angles are ∠ABC=105° and ∠CBD=(3x−24)°.

105 + 3x -24 = 180

3x + 81 = 180

7. Two angles are supplementary. ∠ACB=4x° and ∠BCD=6x+50°.

<ACB + <BCD = 180

4x + 6x + 50 = 180

10x = 130

x= 13

8. For two vertical angles where ∠1=2x+26° and ∠3=3x−32°

<1 = < 3

2x + 26 = 3x -32

2x - 3x = -32 - 26

-x =-58

x= 58

Learn more about Vertical Angle here:

https://brainly.com/question/24460838

#SPJ1

The radius of the circle is 2 units. The diameter of the circle is 4 units.

What is a circle?

A circle is a particular type of ellipse in mathematics or geometry where the eccentricity is zero and the two foci are congruent. A circle is also known as the location of points that are evenly spaced apart from the center. The radius of a circle is measured from the center to the edge. The line that divides a circle into two identical halves is its diameter, which is also twice as wide as its radius.

The arc length is = 2πr(θ/2π) = rθ

Where r is the radius and θ is the central angle.

Given that the angle measuring 11π/6 radius intercepts an arc length of 11π/3.

Putting arc length = 11π/3 and θ = 11π/6 in S = rθ:

11π/3 = r×11π/6

Rewrite the above equation:

r×11π/6 = 11π/3

Multiply both sides by (6/11π):

r×(11π/6)×(6/11π) = (11π/3)× (6/11π)

r = 2

The radius of the circle is 2 units. The diameter of the circle is (2×2) = 4 units.

To learn more about arc length, click on the below link:

https://brainly.com/question/26341009

#SPJ1

Of these three examples, height and weight are more likely to be normally distributed.

What is continuous variable ?

A continuous variable is a type of quantitative variable that can take on any value within a certain range. Continuous variables can be measured to any degree of precision, meaning they can be broken down into smaller and smaller increments.

Three real-life examples of a continuous variable are:

Height: Height is a continuous variable that can take any value within a certain range. It can be measured to any degree of precision, making it a continuous variable.

Time: Time is another continuous variable that can be measured to any degree of precision, from milliseconds to years.

Weight: Weight is also a continuous variable that can take any value within a certain range. It can be measured to any degree of precision, making it a continuous variable.

This is because these variables tend to follow a bell-shaped curve when plotted, with most values clustering around the mean and fewer values appearing further away from the mean. Time, on the other hand, may not be normally distributed because it can have different distributions depending on the situation, such as a bimodal distribution for the time of day people go to sleep or wake up. However, it's important to note that the normal distribution is just one of many possible distributions for continuous variables and may not always be the most appropriate or accurate for real-life situations.

Therefore, Of these three examples, height and weight are more likely to be normally distributed.

To learn more about Continuous variable from given link.

https://brainly.com/question/20711705

#SPJ1

At 95% confidence, the margin of error for the population mean is:

3.920

The margin of error for the population mean can be calculated using the formula:

margin of error = (z-score)*(standard deviation/√(sample size))

Where z-score is the value that corresponds to the desired confidence level, standard deviation is the square root of the variance, and sample size is the number of items in the sample.

Given that the variance is 900, the standard deviation is √(900) = 30. The sample size is 225, and the z-score for a 95% confidence level is 1.96.

Plugging these values into the formula, we get:

margin of error = (1.96)*(30/√(225))

margin of error = (1.96)*(30/15)

margin of error = (1.96)*(2)

margin of error = 3.92

Rounding to three decimal places, the margin of error is 3.920.

More information about the margin of error here: https://brainly.com/question/29821860

#SPJ11

A liter contains roughly 33.814 liquid ounces.

Liter and ounces are used to measure the volume.

There are around 33.814 fluid ounces in a liter when converting between fluid ounces and liters. So, we increase the amount of liters by 33.814 to convert from liters to fluid ounces.

For instance, 2 liters would be converted to 67.628 fluid ounces using the formula 2 x 33.814.

It's crucial to remember that while the ratio of fluid ounces to liters is not precise, it offers a good estimate for the majority of common uses.

To know more about unit conversion, visit,

https://brainly.com/question/13016491

#SPJ4

In the coordinate plane, an angle drawn in standard position has its initial side on the positive x-axis and its vertex at the origin (0,0).

In geometry, a quadrant is one of the four regions of the coordinate plane created by two perpendicular axes, usually the x-axis and y-axis. The coordinate plane is divided into four quadrants, numbered from I to IV in a counterclockwise direction, with the origin (0,0) at their intersection. Each quadrant is defined by the signs of the x- and y-coordinates of points within that quadrant. Specifically:

Quadrant I is where both x and y are positive.

Quadrant II is where x is negative and y is positive.

Quadrant III is where both x and y are negative.

Quadrant IV is where x is positive and y is negative.

Quadrants are commonly used in trigonometry, where they help define the signs of the trigonometric functions sine, cosine, and tangent, which can be used to find the ratios of the lengths of the sides of right triangles. They are also used in the Cartesian coordinate system to locate and plot points on the plane, and to represent various mathematical relationships and models.

Here,

The terminal ray of the angle can lie in one of the four quadrants, depending on the direction of the angle:

If the angle is between 0 and 90 degrees (exclusive), its terminal ray lies in the first quadrant, which is the quadrant to the right and above the origin.

If the angle is between 90 and 180 degrees (exclusive), its terminal ray lies in the second quadrant, which is the quadrant to the left and above the origin.

If the angle is between 180 and 270 degrees (exclusive), its terminal ray lies in the third quadrant, which is the quadrant to the left and below the origin.

If the angle is between 270 and 360 degrees (exclusive), its terminal ray lies in the fourth quadrant, which is the quadrant to the right and below the origin.

To determine the quadrant in which an angle lies, you can either use the degree measure of the angle or the sign of its trigonometric functions (sine, cosine, tangent) in the different quadrants.

To know more about quadrant,

https://brainly.com/question/29139341

#SPJ1

A joint ("and") distribution summarizes the information from one variable only, without considering any information from another variable.

Joint distribution mostly is based on joint probability, which also means it can be simply defined as the probability of two events also known as variables which happen to be happening together. These two events are usually coined event A and event B, and hence can formally be written as: p (A and B).

It also can be defined as the two-way frequency table, that is, a table which displays the frequencies or “counts” for two categorical variables.

Similarly a joint probability distribution is simply the description of the probability that a given individual takes on two specific values for the variables.

To learn more about joint distributions, click here:

brainly.com/question/17283589

#SPJ4

The solution of the given problem of probability comes out to be P(not same color) = 236/361.

Calculating the likelihood that a statement is true or that an event will take place is the focus of probability theory, a branch of mathematics. Any number range between 0 and 1, where 1 is frequently used to describe certainty and 0 is commonly used to denote possibility, can be used to represent chance. A probability diagram shows the likelihood that a particular event will occur.

Here,

There are three cases to consider:

Case 1: both marbles are red

Case 2: both marbles are yellow

Case 3: both marbles are blue

The probability of drawing two red marbles can be found by multiplying the probability of drawing a red marble on the first draw (5/19) by the probability of drawing a red marble on the second draw (5/19):

P(red and red) = (5/19) ×  (5/19) = 25/361

Similarly, the probability of drawing two yellow marbles is:

P(yellow and yellow) = (6/19) × (6/19) = 36/361

And the probability of drawing two blue marbles is:

P(blue and blue) = (8/19) ×  (8/19) = 64/361

So, the probability of drawing two marbles that are the same color is:

P(same color) = P(red and red) + P(yellow and yellow) + P(blue and blue)

P(same color) = (25/361) + (36/361) + (64/361)

P(same color) = 125/361

d.

There are three cases to consider:

Case 1: one marble is red and one marble is yellow

Case 2: one marble is red and one marble is blue

Case 3: one marble is yellow and one marble is blue

The probability of drawing one red marble and one yellow marble can be found by multiplying the probability of drawing a red marble on the first draw (5/19) by the probability of drawing a yellow marble on the second draw (6/19), and then multiplying by 2 (since the order of the marbles doesn't matter):

P(red and yellow) = 2 × (5/19) × (6/19) = 60/361

Similarly, the probability of drawing one red marble and one blue marble is:

P(red and blue) = 2  × (5/19) × (8/19) = 80/361

And the probability of drawing one yellow marble and one blue marble is:

P(yellow and blue) = 2 × (6/19) × (8/19) = 96/361

So, the probability of drawing two marbles that are not the same color is:

P(not same color) = P(red and yellow) + P(red and blue) + P(yellow and blue)

P(not same color) = (60/361) + (80/361) + (96/361)

P(not same color) = 236/361

To know more about probability visit:

brainly.com/question/11234923

#SPJ1

Pepe Rodriquez works 42.5 hours at $6.20 per hour. The first 40 hours would be paid at the standard rate of $6.20 per hour, equaling $248.

The correct answer is B. $263.50, which is calculated by taking the standard pay of 40 hours at $6.20 per hour ($248) and adding the time-and-a-half pay of 2.5 hours at $9.30 per hour ($23.25).

Pepe Rodriquez works 42.5 hours at $6.20 per hour. The first 40 hours would be paid at the standard rate of $6.20 per hour, equaling $248. The remaining 2.5 hours would be paid at time-and-a-half, which is 1.5 times the hourly rate of $6.20, equaling $9.30 per hour. The total pay for the 2.5 hours is therefore $9.30 x 2.5 hours = $23.25. Adding the standard pay of $248 to the time-and-a-half pay of $23.25 yields a total of $263.50. Therefore, the correct answer is B. $263.50.

Learn more about rate here

https://brainly.com/question/13481529

#SPJ4