[2] Graph the following piecewise function: \[ g(x)=\left\{\begin{array}{l} 5, \text { if } 0 \leq x

The required measure of the x in the given triangle is 65.6 degrees.

To evaluate x, we can apply the tangent function, which relates the ratio of the length of the opposite side to the adjacent side in a right triangle.

The tangent of an angle x is defined as the ratio of the length of the opposite side to the length of the adjacent side:

tan(x) = opposite/adjacent

In our case, the opposite side has a length of 11 cm, and the adjacent side has a length of 5 cm. Therefore, we can write:

tan(x) = 11/5

To solve for x, we can take the inverse tangent (also known as arctan or tan⁻¹) of both sides:

x = tan⁻¹(11/5)

Using a calculator, we can find the value of x to be approximately 65.6 degrees.

Therefore, the angle x between the longest side and the smallest side of the right-angle triangle is approximately 65.6 degrees.

Therefore, the required measure of the x in the given triangle is 65.6 degrees.

Learn more about triangles here:

https://brainly.com/question/2773823

#SPJ1

Answer:

x=  ( -1 , -3 )

y= ( 0 , -1 )

Step-by-step explanation:

Let's call the time it takes the fair maiden to sew the border of the tapestry "t". So, her sister can sew the border in t/2 hours.

Working together, they can sew the border in t + t/2 = 1.5t hours.

Since we know the fair maiden can sew the border in 6 hours, we can substitute this into the equation to find t:

6 + 6/2 = 1.5t

Simplifying the right side of the equation:

6 + 3 = 1.5t

9 = 1.5t

Dividing both sides of the equation by 1.5:

t = 6

So the fair maiden can sew the border in 6 hours and her sister can sew the border in 6/2 = 3 hours.

Working together, it would take them 6 + 3 = 9 hours to sew the border of the tapestry.

The two associations that best describe the scatter plot include the following:

A. linear association.

D. positive association.

In Statistics and Mathematics, there are four (4) major types of relationship (association) in a scatter plot and these include the following:

Generally speaking, a positive association would exist on a scatter plot when there is a direct variation between two variable i.e when one variable increases, the other variable increases too, or when one variable decreases, the other decreases.

By critically observing the scatter plot shown in the image attached below, we can logically deduce that the type of relationship (association) that would best model this data is both a linear association and a  positive association because the variables illustrate a direct variation.

Read more on positive association here: https://brainly.com/question/1237557

#SPJ1

Complete Question:

Which associations best describe the scatter plot?

Choose *exactly two* answers that are correct.

A. linear association

B. negative association

C. nonlinear association

D. positive association

The density of 2.4kg of muscle that occupies 30cm^3 of space is approximately 80g/cm^3.

The density of an object can be calculated using the formula: density = mass/volume. In this case, the mass of the muscle is 2.4 kg and the volume it occupies is 30 cm³. To find the density, simply divide the mass by the volume:

Density = (2.4 kg) / (30 cm³)

Density ≈ 0.08 kg/cm³

So, the density of the 2.4 kg muscle occupying 30 cm³ of space is approximately 0.08 kg/cm³. The density of an object can be calculated using the formula: density = mass/volume. The density of 2.4kg of muscle that occupies 30cm^3 of space is approximately 80g/cm^3.

To know more about density visit:

https://brainly.com/question/29775886

#SPJ11

Answer:

Step-by-step explanation:

angle 1=130 degree(being alternate angles)

angle 2=50 degree

angle 2 +130=180 degree(being co interior angle)

angle 2=180-130

angle 2=50 degree

Answer:

m<1 = 50

m<2 = 130

Step-by-step explanation:

From the picture, you can inference that m<1 looks like 130 degrees, and m<2 does not. You can tell because m<1 looks like a wide-angle, while m<2 looks like a closed-angle. So, m<1 is 130 degrees.

To find m<2 subtract 180 by 130 because 180 is the measure of a straight angle.

180 - 130 = 50

So m<1 = 50

Answer:

If its t to the power - 1/3 then it is 1/512

Step-by-step explanation:

t^-1/3=8

(1/t) ^1/3 =8

1/t = 8 ^3

t=1/512

The coefficient of determination for a linear regression model fitting with bivariate dataset ( scatterpot present in above figure) is equals to the 90.097.

When we study about linear regressions, usually analyze two coefficients that help us to know about the quality of the regression model and strength of linear relationship between the variables. One is called the coefficient of determination, denoted by R². Consequently, by observing a scatter plot, we can estimate the value of these coefficients. We have a scatterpot for a linear model fitting of the bivariate dataset is present in above figure. Coefficient of determination is always positive. When data are very closely arranged along a approximate line, then coefficient of determination is more near to 1 (In percentage it is 100). Here points are almost closely arranged . So percentage should be near to 100. So possible answer is 90.097. Hence, the answer is 90.097.

For more information about cofficient of determination, visit :

https://brainly.com/question/17237825

#SPJ4

Complete question :

The above figure complete the question.

What is the coefficient of determination for a linear model fitting the following bivariate dataset?

The derivative dy/dx of the function y = 3u - 8, where u = 3x - 7, is 9. This means that for every unit change in x, y changes by a constant rate of 9.

To find dy/dx, we can apply the chain rule of differentiation. The chain rule states that if we have a composite function, such as y(u(x)), the derivative of y with respect to x can be calculated by multiplying the derivative of y with respect to u (dy/du) by the derivative of u with respect to x (du/dx).

Given that y = 3u - 8 and u = 3x - 7, we can find dy/dx as follows:

First, let's find du/dx:

du/dx = d/dx (3x - 7) = 3

Next, let's find dy/du:

dy/du = d/dx (3u - 8) = 3

Now, we can apply the chain rule:

dy/dx = (dy/du) * (du/dx) = 3 * 3 = 9

Therefore, dy/dx = 9.

The derivative of y with respect to x represents the rate of change of y with respect to x. In this case, since y is a linear function of u, and u is a linear function of x, the derivative dy/dx is a constant, which is 9.

Learn more about derivative here:

https://brainly.com/question/29144258

#SPJ11

The solution of the DTDS is xn = (0.63)^n * 41 grams, where n represents time in hours.

a) The updating function f(x) for the discrete time dynamical system (DTDS) can be derived from the given information that the body eliminates 37% of the alcohol present in the body per hour.

Since 37% of the alcohol is eliminated, the amount remaining after one hour can be calculated by subtracting 37% of the current amount from the current amount. This can be expressed as:

f(x) = x - 0.37x

Simplifying the equation:

f(x) = 0.63x

b) The initial condition for the DTDS is given as Peter having 41 grams of alcohol in his body after consuming three alcoholic drinks. Therefore, the initial condition is:

x0 = 41 grams

c) To find the solution of the DTDS with the given initial condition, we can use the updating function f(x) and iterate it over time.

For n hours, the solution is given by:

xn = f^n(x0)

Applying the updating function f(x) repeatedly for n times:

xn = f(f(f(...f(x0))))

In this case, since the function f(x) is f(x) = 0.63x, the solution can be written as:

xn = (0.63)^n * x0

Substituting the initial condition x0 = 41 grams, the solution becomes:

xn = (0.63)^n * 41 grams

Learn more about function at: brainly.com/question/30721594

#SPJ11

Answer: C - If the null hypothesis is true, the probability of observing a test statistic pf 1.592 or greater is 0.059

Step-by-step explanation:

The correct interpretation of the p-value is option C. If the null hypothesis is true, the probability of observing a test statistic of 1.592 or greater is 0.059.

In hypothesis testing, the p-value helps us determine the likelihood of obtaining a test statistic at least as extreme as the one observed, assuming the null hypothesis is true. In this case, the null hypothesis (H₀) states that B1 = 0, meaning there is no relationship between the number of times a song is listened to and recording sales. The alternative hypothesis (H₁) states that B1 > 0, suggesting a positive linear relationship between the variables. Since the test is one-tailed and we are testing for a positive relationship, we are looking for a test statistic of 1.592 or greater.

Based on the given p-value of 0.059, we can conclude that if the null hypothesis is true, there is a 5.9% chance of observing a test statistic of 1.592 or greater. This helps us to assess the strength of the evidence against the null hypothesis and make a decision whether to reject or fail to reject it based on a chosen significance level.

To know more about p-value, visit

https://brainly.com/question/30078820

#SPJ11

The following statements are true: The margin of error of the 99% confidence interval will be larger than the margin of error of the 95% confidence interval. The upper and lower bounds of the 99% confidence interval will be wider than those of the 95% confidence interval.

To increase the confidence level from 95% to 99%, we would need to widen the confidence interval.

The margin of error of the 99% confidence interval will be larger than the margin of error of the 95% confidence interval.

The upper and lower bounds of the 99% confidence interval will be wider than those of the 95% confidence interval.

The confidence interval is a range of values that is likely to contain the true population mean with a certain level of confidence. Increasing the confidence level will require a wider range of values because there is a higher chance of including the true population mean within that range. The margin of error is calculated based on the sample size and standard deviation of the population. With a larger confidence level, the margin of error will increase, resulting in a wider confidence interval. Therefore, we can conclude that the margin of error of the 99% confidence interval will be larger than the margin of error of the 95% confidence interval. Additionally, the upper and lower bounds of the 99% confidence interval will be wider than those of the 95% confidence interval because the range needs to be larger to achieve a higher level of confidence.

Learn more about confidence interval here:

https://brainly.com/question/13067956

#SPJ11

Answer:

They could sell 32 large lemonades before they run out

Step-by-step explanation:

4 gallons is equivalent to 512 oz

When you divide 512 oz buy 16oz you get 32

Hope this helps!

Answer:

A. 30800

B.39600

C. 17600

Step-by-step explanation: 0.12*$35000= 4200 35000-4200 = $30800

$45000*0.12=$5400 $45000-$5400= $39600

$20000*0.12=$2400 $20000-$2400= $17600

Answer:

the last one is 30

Step-by-step explanation:

Answer:

6,000

Step-by-step explanation:

Answer:

tatatatatatatatatatatatatata

Step-by-step explanation:

the duck is so cute

Answer:

DUCKYYY :DDD

Step-by-step explanation:

Answer:

x = 4.3588989435406

I hope it's helps you

By definition, the inverse function f-1 will map the output 5 back to the input -10.

1. TRUE - If f(-10) = 5, it means that the input -10 maps to the output 5 under the function f.

2. FALSE - The statement is incorrect. The increasing or decreasing nature of a function and its inverse are not directly linked. For example, if f(x) = x^2, which is increasing, its inverse function f-1(x) = √x is also increasing.

3. Not clear - The statement seems incomplete and requires additional information or clarification to determine its validity.

4. FALSE - The statement is incorrect. The concavity of a function and its inverse are not directly related. For example, if f(x) = x^2, which is concave up, its inverse function f-1(x) = √x is concave down.

5. TRUE - The domain of the inverse function f-1 is indeed the range of the original function f. This is a fundamental property of inverse functions, where the roles of inputs and outputs are swapped.

Regarding the determination of where the function f(x) = 2x^2 ln(x/4) is increasing and decreasing, we need to analyze the sign of its derivative. Taking the derivative of f(x) and setting it equal to zero, we can find the critical points. Then, by examining the sign of the derivative on different intervals, we can determine where the function is increasing or decreasing.

to learn more about inverse function click here:

brainly.com/question/19425567

#SPJ11

Answer:

sorry i'm having an exam and its rlly hard so i'm looking for answers myself

Step-by-step explanation:

...

hope it helps

the answer is

Answer:

Solve the linear equation \(2.25 - 11 - 7.75 + 1.5j= 0.5j - 1\)

✔ \(j\) = –0.45

\(j\)  = –0.25

\(j\) = 0.25

\(j\) = 0.45

Simplify \(2.25 - 11j - 7.75 + 1.5j\) .

Subtract \(7.75\) from \(2.25\) .

\(- 11j - 5.5 + 1.5j = 0.5j -1\)

Add \(-11j\) and \(1.5j\) .

\(- 9.5j - 5.5 = 0.5j - 1\)

Move all terms containing \(j\) to the left side of the equation.

Subtract \(0.5j\) from both sides of the equation.

\(- 9.5j - 5.5 = 0.5j - 1\)

Subtract \(0.5j\) from \(- 9.5j\).

\(- 10j - 5.5 = - 1\)

Move all terms not containing \(j\) to the right side of the equation.

Add \(5.5\) to both sides of the equation.

\(-10j = -1 +5.5\)

Add \(-1\) and \(5.5\) .

\(10j=4.5\)

Divide each term in \(-10\)\(j\) \(=4.5\) by \(-10\) and simplify.

Divide each term in \(-10j = 4.5\) by \(-10\).

\(\frac{-10j}{-10} = \frac{4.5}{-10}\)

Simplify the left side.

Cancel the common factor of \(-10\).

\(j= \frac{4.5}{-10}\)

Cancel the common factor.

\(\frac{-10j }{-10} = \frac{4.5}{-10}\)

Divide \(j\) by \(1\)

\(j=\frac{4.5}{-10}\)

Simplify the right side.

Divide \(4.5\) by \(-10\).

\(j=-4.5\)

The Final Answer is

\(j=-4.5\)

Answer:

(22/7)/6=0.523809

Step-by-step explanation:

V=4/3πr^3

V=4/3π(1/2)^3=π/6

or (22/7)/6=0.523809

If Robert ate lunch at 11:am and he ate a snack 4and a half hours later, Robert ate his snack at 3:30 pm

To find out what time Robert ate his snack, we need to add 4 and a half hours to the time he ate lunch.

Since he ate lunch at 11:00 am, we can convert this time to 24-hour format by adding 12 hours to get 11:00 + 12:00 = 23:00.

Next, we add 4 and a half hours to 23:00 by converting the half hour to minutes and adding it to the minutes portion of the time:

23:00 + 4 hours + 30 minutes = 27:30

However, since there are only 24 hours in a day, we need to convert this time back to 12-hour format. To do this, we subtract 12 hours from 27:30 to get 15:30.

Therefore, Robert ate his snack at 3:30 pm (or 15:30 in 24-hour format).

In summary, we added 4 and a half hours to the time Robert ate lunch, converted the resulting time to 24-hour format, subtracted 12 hours to account for the excess of 24 hours, and then converted the time back to 12-hour format to obtain the time Robert ate his snack.

To learn more about time click on,

https://brainly.com/question/21978294

#SPJ4

Answer:

Suppose A and B , both has initial volume, say x

120 ML is poured from B to A, then new volumes of A and B will be:

new volume of A (x-120)

new volume of B  (x+120)

Volume of B is now four times volume of A, then

(x+120)= 4(x-120)

(x+120)=4x-180

3x=600

x=200

So, the initial volume of A and B containers is 200

So, at the end, volume of container A = 200-120=80

Hence the answer is 80   :

Step-by-step explanation:

Answer:

I believe the answer is 20

Step-by-step explanation:

The two numbers whose sum is 13 and product is 40 are 5 and 8.

Given the following, A = 0.4, B = 8 and C = 1.Since A = 0.4, then

(1 - A) = (1 - 0.4)

A= 0.6

Let the two numbers be x and y

According to the question, x + y = (10A + B) + C

Thus, x + y = (10 × 0.4 + 8) + 1 So,

x + y = (4 + 8) + 1 = 13

Therefore, the numbers x and y are 5 and 8.

Thus, the two numbers whose sum is 13 and product is 40 are:5 and 8.

Hence, the two numbers whose sum is 13 and product is 40 are 5 and 8.

To know more about product visit:

brainly.com/question/4523199

#SPJ11

Answer:

y= mx + c

Step-by-step explanation:

y=mx+c

y= -2x+c

-5 = -2(3) +c

-5 = -6 +c

-5 + 6 = c

1 = c

therfore equation is y = -2x + 1

Answer:

If each of the dimensions was enlarged by 3 units then the new length would be 5 and the new width would be 6. To find the area of the triangle we use the formula: A = L x W ÷ 2.


6 x 5 = 30ft2
30 ÷ 2 = 15ft2


Therefore the new area of the triangle would be 15ft2.

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Answer:

b) 9

Step-by-step explanation:

Given that,

→ A = -3

Then the value of A² will be,

→ (-3)² = 9

Hence, option (b) is correct.