A cylinder containing water is fitted with a piston restrained by an external force that is proportional to cylinder volume squared (P = cvc is constant). Initial conditions are 120°C, 90% quality and a volume of 200 L. A valve on the cylinder is opened and additional water flows into the cylinder until the mass inside has doubled. If at this point the pressure is 300 kPa. What is the final temperature, show your solution

The area of the shaded sector of the circle is 38π.

A sector of a given circle is part of the circle which has a boundary of two radii and an arc. The area of a sector can be determined by;

area of a sector = θ/ 360*πr^2

where θ is the central angle of the sector

           r is the radius of the circle

In the given question, the area of the shaded sector can be determined as follows:

area of a sector = θ/ 360*πr^2

But,

θ = 180 + 100

  = 280^o

r = 14/2

 = 7m

So that;

area of a sector = 280/ 360*π*7^2

                          = 38.111π

The area of the sector is 38π.

Learn more about the area of a sector at https://brainly.com/question/22972014

#SPJ1

Answer:

- 1 7/33

all right here the answer

It would be closest rounded to about 30.25/30.26. Would be better to know the radius rather than the circumference.

Answer: B

Step-by-step explanation:

The end behavior f(x) → ∞ as x → -∞ means that x-value is negative and y-value is positive. If this is the case, the other end part of the function is located in the 2nd quadrant.

The end behavior f(x) → -∞ as x → ∞ means that the x-value is positive and the y-value is negative. The other end part of the function is located in the 4th quadrant.

Looking at the choices, Option 1 and 4 exhibits these characteristics.

The given lines are neither perpendicular nor parallel to each other. Hence, the correct option is option C.

The given equations of lines are -6x - 2y = -10 and y = 3x - 7.

To determine whether the given lines are parallel, perpendicular or neither; we need to convert both equations into a slope-intercept form that is y = mx + b, where m is the slope of the line and b is the y-intercept.

Therefore, y = 3x - 7 is already in slope-intercept form.

Let's convert -6x - 2y = -10 equation into slope-intercept form, which is:-2y = 6x - 10y = -3x + 5

So, the slope of the first line is -3 and the slope of the second line is 2.

As the slopes are different, the lines are not parallel to each other. Also, the product of the slope of both lines is -6 which is not equal to -1.

Therefore, the given lines are neither perpendicular nor parallel to each other. Hence, the correct option is option C.

Know more about equations here:

https://brainly.com/question/29174899

#SPJ11

Answer:

Water molecules

Step-by-step explanation:

Water molecules in the vapor form are arranged more randomly than in liquid water. As condensation occurs and liquid water forms from the vapor, the water molecules become more organized and heat is released into the atmosphere as a result.

https://www.usgs.gov/special-topic/water-science-school/science/condensation-and-water-cycle?qt-science_center_objects=0#

Answer:

88145 doctors

Step-by-step explanation:

Percentage of male doctors=64/100×53100=

35046%.

Therefore 53100+35046=

88145 doctors

Ingrid needs to deposit approximately $558.95 at the end of each quarter to have enough money to buy the $17,000 car in 6 years.

To calculate the amount Ingrid needs to deposit at the end of each quarter, we can use the future value of an annuity formula. The future value (FV) of an annuity is given by the formula:

FV = P * ((1 + r/n)(n*t) - 1) / (r/n)

Where:

P is the periodic deposit

r is the annual interest rate (as a decimal)

n is the number of compounding periods per year

t is the number of years

In this case, Ingrid wants to accumulate $17,000 in 6 years, with a quarterly compounding rate of 5.5% (0.055) and 4 compounding periods per year. Plugging these values into the formula:

17,000 = P * ((1 + 0.055/4)²⁴ - 1) / (0.055/4)

By solving this equation, we find that Ingrid needs to deposit approximately $558.95 at the end of each quarter to accumulate enough money to pay for her car.

learn more about intrest rate here:

https://brainly.com/question/29222674

#SPJ11

The probability that the plant died because the neighbor forgot to water it is (1 - q) x (1 - %).

Let p = the probability that the plant will die without water, q = the probability that the plant will die with water, and r = the probability that the neighbor will remember to water the plant.

The probability that the plant died because the neighbor forgot to water it is equal to the probability that the plant would have survived had the neighbor remembered to water it, multiplied by the probability that the neighbor did not remember to water it.

P(plant died due to neighbor not watering) = P(plant survived with neighbor watering) x P(neighbor not remembering)

= (1 - q) x (1 - r)

= (1 - q) x (1 - % certain the neighbor will remember)

= (1 - q) x (1 - % certain)

= (1 - q) x (1 - %)

Therefore, the probability that the plant died because the neighbor forgot to water it is (1 - q) x (1 - %).

Learn more about probability here:

https://brainly.com/question/30034780

#SPJ4

Answer:

60

Step-by-step explanation:

10 x 6 is what?

Took the test :p

Answer:

Mean:

10.5+9.2+0+9.3+10.4+9.2=48.6

48.6 divded by 6 =8.1

Median is 9.3

Mode is 9.2

Step-by-step explanation:

The median is not affected by an extreme value in the data set, while the standard deviation, range, and mean can all be influenced by extreme values.

An extreme value refers to a data point that significantly deviates from the other values in a data set. When considering the impact of extreme values, it is important to understand their effect on different statistical measures.

The median, which represents the middle value in a sorted data set, is not affected by extreme values. The median only considers the position of the data points and is not influenced by their actual values. Therefore, even if there are extreme values present, the median will remain unchanged.

On the other hand, the standard deviation, range, and mean can all be affected by extreme values. The standard deviation measures the dispersion of data points around the mean. Extreme values can significantly impact the spread of the data, leading to a larger standard deviation. The range, which is the difference between the maximum and minimum values in a data set, is directly influenced by extreme values. A single extreme value can greatly expand the range. Additionally, the mean, or the average of all data points, is sensitive to extreme values. Since the mean considers the actual values, extreme values can skew the average towards higher or lower values, depending on the nature of the extreme value.

Therefore, the correct answer is option c. The median is not affected by an extreme value in the data set, while the standard deviation, range, and mean can all be influenced by extreme values.

Learn more about median here:

https://brainly.com/question/11237736

#SPJ11

Answer:

the answer is c: s=40(1.1)^m, s=20(1.15)^m

Step-by-step explanation:

in option A, (0.10) and (0.15) make it exponential decay rather than exponential growth like it's supposed to be.

In option B, the rate of growth is supposed to be on the exponent, not the sales themselves in the equation

option c is correct I just finished the test

option d has the same mistake as a and b combined

The system of equations that can be used to determine the number of months, m, until the sales, s, is the same for both headband styles is s = 40(1.1)^m and s = 20(1.15)^m.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

For style A, Sharon sold 40 in the first month and had a 10% increase in sales each month after that. Therefore, the exponential equation for the number of sales can be written as,

Number of sales = \(40 (1 + 10\%)^m\)

                           \(= 40(1.10)^m\)

For style B, Sharon sold 20 in the first month and had a 15% increase in sales each month after that. Therefore, the exponential equation for the number of sales can be written as,

Number of sales = \(20 (1 + 15\%)^m\)

                            \(=20 (1.15)^m\)

Hence, the system of equations that can be used to determine the number of months, m, until the sales, s, is the same for both headband styles is s = 40(1.1)^m and s = 20(1.15)^m.

Learn more about Equation:

https://brainly.com/question/2263981

#SPJ5

Answer:

Step-by-step explanation:

no because 6 , 7 and 10 doesn't add up to 180 so it is not

A triangle has sides with lengths of 6 kilometers, 7 kilometers, and 10 kilometers is not a right triangle.

To determine if a triangle is a right triangle, you can use the Pythagorean Theorem. The Pythagorean Theorem states that "In a right-angled triangle, the sum of the square of the two shorter sides is equal to the square of the longest side." It can be written as:

a² + b² = c², where 'a' and 'b' are the lengths of the two legs of a right triangle, and 'c' is the length of the hypotenuse.

In this triangle, the two shorter sides have lengths of 6 kilometers and 7 kilometers and the longest side is 10 kilometers.

The square of 6 kilometers is 36 kilometers and the square of 7 kilometers is 49 kilometers.

The sum of 36 kilometers and 49 kilometers is 85 kilometers.

The longest side of the triangle has a length of 10 kilometers, and the square of 10 kilometers is 100 kilometers.

Since 85 kilometers is not equal to 100 kilometers, this triangle is not a right triangle.

Learn more about the Pythagorean Theorem here:

brainly.com/question/13095504

#SPJ11

Answer:

17/24

Step-by-step explanation:

hope this helped:)

Answer: i think it is 17/24

Step-by-step explanation:

The solution to the equation 3(x-6) - 1/2(8x+10) = -25 is x = 2.

To simplify the equation 3(x-6) - 1/2(8x+10) = -25, we can start by applying the distributive property and then combining like terms.

First, let's distribute the 3 and the -1/2 to the terms inside the parentheses:

3(x-6) - 1/2(8x+10) = 3x - 18 - (4x + 5)

Now, let's simplify further by combining like terms:

3x - 18 - 4x - 5 = -x - 23

So, the simplified equation is -x - 23 = -25.

To solve for x, we can isolate the variable by adding 23 to both sides of the equation:

-x - 23 + 23 = -25 + 23

This simplifies to:

-x = -2

Finally, we can solve for x by multiplying both sides of the equation by -1:

(-1)(-x) = (-1)(-2)

This gives us:

x = 2

Therefore, the solution to the equation 3(x-6) - 1/2(8x+10) = -25 is x = 2.

For more such questions on equation visit:

https://brainly.com/question/17145398

#SPJ8

Step-by-step explanation:

the second and the 6th options keep the same graph but shift it to the left.

the other options :

the first option changes the graph (the factor -2 stretched and flips the graph).

the third and the 5th options shift the graph up and down. but not to the left.

the 4th option shifts it to the right.

when you add a constant inside the x terms, you shift to the left.

when you subtract a constant inside the x terms, you shift to the right.

e.g. when having f(x+2), then everything, that should happen at x+2 happens already at x. 2 units earlier, and therefore a shift to the left.

in the other direction, f(x-2) makes everything that should have happened at x-2 happen finally at x. so, everything shifts 2 units to the right.

For given equations, the reason/properties are:

2)

    equation steps                                 properties/reason

1.  m/-3 + 10 = -1                                           Given

2. m/-3 = -11                                          subtract 10 from each side

3. m = 33                                              multiply each side by -3

3)

    equation steps                                properties/reason

1.  (5y - 1)/2 = 7                                             Given

2. 5y - 1 = 14                                         multiply each side by 2

3. 5y = 15                                              add 1 on both the sides

4. y = 3                                                  divide each side by 5

In this question, we have been given two equations.

We need to state the reason foe each step.

Consider equation (2),

m/-3 + 10 = -1                         ..............(Given)

m/-3 = -11                          .....................(subtract 10 from each side)

m = 33                             ....................(multiply each side by -3)

Now, consider equation (3),

(5y - 1)/2 = 7                                      ..........Given

5y - 1 = 14                                           ............multiply each side by 2

5y = 15                                           ..............add 1 on both the sides

y = 3                                         ..................divide each side by 5

Therefore, for given equations:

2)

    equation steps                                  properties/reason

1.  m/-3 + 10 = -1                                           Given

2. m/-3 = -11                                          subtract 10 from each side

3. m = 33                                              multiply each side by -3

3)

    equation steps                                properties/reason

1.  (5y - 1)/2 = 7                                             Given

2. 5y - 1 = 14                                         multiply each side by 2

3. 5y = 15                                              add 1 on both the sides

4. y = 3                                                  divide each side by 5

Learn more about an equation here:

https://brainly.com/question/649785

#SPJ1

There are 28 ways to choose 6 teams for the playoffs if there are 8 college basketball teams in a certain sub-division.

To determine the number of ways to choose 6 teams for the playoffs out of the 8 college basketball teams in a certain Sub-Division, we can use the combination formula. The formula for combinations is given by

nCr = n! / (r! * (n-r)!),

where n represents the total number of teams and r represents the number of teams to be chosen.

In this case, n = 8 and r = 6.

Plugging in these values, we have

8C6 = 8! / (6! * (8-6)!) = 8! / (6! * 2!) = (8 * 7) / (2 * 1) = 28.

Therefore, there are total 28 ways to choose 6 teams.

To know more about ways refer here:

https://brainly.com/question/4318885

#SPJ11

2.The point on x-axis which is equidistant from the points (3,2) and (−5,−2) can be found as follows:

Let the point on x-axis be (x,0).

Using distance formula:

\($$\sqrt{(3-x)^2+(2-0)^2}=\sqrt{(-5-x)^2+(-2-0)^2}$$\)

Squaring both sides:

\($$(3-x)^2+4=(-5-x)^2+4$$\)

Simplifying: \($$-16x=64$$\)

Therefore, x=-4.

The point on x-axis which is equidistant from the points (3,2) and (−5,−2) is (-4,0).

3. The given points are (0,−2),(3,1),(0,4) and (−3,1) are the vertices of a square. Let's check it:

Firstly, find the distance between the point (0,-2) and (3,1) and between the point (3,1) and (0,4) using distance formula:

\($$\sqrt{(3-0)^2+(1-(-2))^2}=\sqrt{10}$$\)

\($$\sqrt{(0-3)^2+(4-1)^2}=\sqrt{10}$$\)

Thus, both are equal which means the sides are equal.

Now, check if any one pair of opposite sides are parallel using slope formula:

\($$\frac{1-(-2)}{3-0}=\frac{4-(-2)}{0-(-3)}=\frac{3}{1}$$\)

Thus, opposite sides are parallel.

Next, check if any one pair of sides are perpendicular using slope formula:

\($$\frac{1-(-2)}{3-0}\cdot \frac{4-(-2)}{0-(-3)}=-1$$\)

Thus, opposite sides are perpendicular.Therefore, the given points are the vertices of a square.

4. The given points are (0,6),(−5,3) and (3,1) are the vertices of an isosceles triangle. Let's check it:

Firstly, find the distance between the point (0,6) and (−5,3), between the point (−5,3) and (3,1) and between the point (0,6) and (3,1) using distance formula:

\($$\sqrt{(0-(-5))^2+(6-3)^2}=\sqrt{34}$$\)

\($$\sqrt{(-5-3)^2+(3-1)^2}=2\sqrt{10}$$\)

\($$\sqrt{(0-3)^2+(6-1)^2}=\sqrt{34}$$\)

Thus, two sides are equal. Therefore, the given points are the vertices of an isosceles triangle.

5. Three vertices of a rhombus taken in order are (2,−1),(3,4) and (−2,3). Find the fourth vertex:

As the rhombus is a special parallelogram with all sides of equal length and opposite angles equal, the distance between the three given points taken in order, when paired two at a time, must be equal.

Using distance formula, the distance between the point (2,-1) and (3,4), between the point (3,4) and (-2,3), and between the point (-2,3) and (2,-1) are as follows:

\($$\sqrt{(3-2)^2+(4-(-1))^2}=\sqrt{50}$$\)

\($$\sqrt{(-2-3)^2+(3-4)^2}=\sqrt{50}$$\)

\($$\sqrt{(2-(-2))^2+(-1-3)^2}=\sqrt{50}$$\)

Thus, the fourth vertex should be the point (2,-5).

To know more about equidistant visit:

https://brainly.com/question/29756752

#SPJ11

Based on the fact that the line passes through (-2, 7) and the slope, the value of a can be found to be  -1

To find the value of a, you first need to find the y-intercept to complete the linear equation which takes the form:

y = slope (x) + y-intercept

7 = -5(-2) + y-intercept

7 = 10 + y-intercept

y-intercept = 7 - 10

y-intercept = -3

The line equation is:

y = -5x - 3

The line y = -5x - 3 is passing through the point (a,2) is:

2 = -5(a) - 3

3 + 2 = -5a

a = 5 / -5

a = -1

Find out more on a slope at https://brainly.com/question/3493733

#SPJ1

Answer:

the answer is  -1

Step-by-step explanation:

(a)the body temperature of the 1601 lb man will increase by approximately 3.0 °C.(b)the body temperature of the 160 lb man will increase by approximately 2.4 °C.

The specific heat of a human is given as 3.47 J/°C. Using this information, we can calculate the increase in body temperature when a certain number of calories are converted into heat energy. In the first scenario, a 1601 lb man consumes a candy bar containing 287 Cal. In the second scenario, a 160 lb man consumes a roll of candy containing 41.9 Cal. We will calculate the increase in body temperature for each case.

(a) To calculate the increase in body temperature for a 1601 lb man who consumes a candy bar containing 287 Cal, we need to convert calories to joules. Since 1 Calorie (Cal) is equal to 4184 joules, we have:
Energy = 287 Cal × 4184 J/Cal = 1.2 × \(10^6\) J
Now, using the specific heat formula Q = mcΔT, where Q is the energy, m is the mass, c is the specific heat, and ΔT is the change in temperature, we can rearrange the formula to solve for ΔT:
ΔT = Q / (mc)
Assuming the mass of the man is converted to kilograms, we have:
ΔT = (1.2 × \(10^6\) J) / (1601 lb × 0.4536 kg/lb × 3.47 J/°C) ≈ 3.0 °C
Therefore, the body temperature of the 1601 lb man will increase by approximately 3.0 °C.
(b) For a 160 lb man who consumes a roll of candy containing 41.9 Cal, we repeat the same calculation:
Energy = 41.9 Cal × 4184 J/Cal = 1.75 × \(10^5\) J
ΔT = (1.75 × \(10^5\) J) / (160 lb × 0.4536 kg/lb × 3.47 J/°C) ≈ 2.4 °C
Thus, the body temperature of the 160 lb man will increase by approximately 2.4 °C.

Learn more about kilograms here:

https://brainly.com/question/24901791

#SPJ11

On solving the provided question we can say that - the half-life of nitrogen after 20 minutes 30 grams.

The amount of time needed for an isotope's radioactivity to decrease to half its initial value:The duration it takes for a quantity to drop to half its initial value is known as its half-life. In nuclear physics, the phrase is frequently used to indicate how rapidly unstable atoms radioactively disintegrate or how long stable atoms last. In a broader sense, the phrase is used to describe any kind of exponential decay.

The equation for calculating half-life is;

amount of substance/2 = half life

half life of nitrogen after 10 minutes

120/2 = half life

half life = 60

the half-life of nitrogen after 20 minutes

half = 60/2 = 30 grams.1

20 grams of nitrogen in radioactive form make up the entire quantity

To know more about half life visit:

https://brainly.com/question/28008547

#SPJ4

Answer:

V≈1767.15in³

Step-by-step explanation:

V=4

3πr3

d=2r

Solving forV

V=1

6πd3=1

6·π·153≈1767.14587in³

The sample size is necessary if the 95% ci for p is to have a width of at most 0.15 irrespective of p being 385 people.

In statistics, a confidence interval describes the likelihood that a population parameter will fall between a set of values for a given percentage of the time. Confidence intervals that include 95% or 99% of anticipated observations are frequently used by analysts.

The largest confidence interval occurs when p = .5

The standard error = \(\sqrt{\frac{(0.5)^{2} }{x} }\)

The z* for a 95% confidence interval = 1.96

Setting up an equation,

\(1.96\sqrt{\frac{(0.5)^{2} }{x} } = 0.05\)

Solving gives x=384.2.

So you need 385 people.

To learn more about sample size here:

https://brainly.com/question/25894237

#SPJ4

Answer:

= symbol (Please brainlist me)

Step-by-step explanation:

When a buh wa firt planted in a garden,it wa 12 inche tall. After two week, it wa 120% a tall a when it wa firt planted. Tall wa the buh after the two week is   \(\\26 \frac{2}{5}\).

What is improper fractions?

An improper fraction is a fraction whose numerator is equal to or greater than its denominator. 3/4, 2/11, and 7/19 are proper fractions, while 5/2, 8/5, and 12/11 are improper fractions.

12 times 120% + 12

12*120%+12

\($$\begin{aligned}& 120 \% \text { in fractions: } \frac{6}{5} \\& =12 \times \frac{6}{5}+12\end{aligned}$$\)

Follow the PEMDAS order of operations

Multiply and divide (left to right) \($12 \times \frac{6}{5}: \frac{72}{5}$\)

\(=\frac{72}{5}+12$$\)

Add and subtract (left to right) \($\frac{72}{5}+12: \frac{132}{5}$\)

\(=\frac{132}{5}$$\)

Convert improper fractions to mixed numbers: \($\frac{132}{5}=26 \frac{2}{5}$\)

\(=26 \frac{2}{5}$$\)

To learn more about improper fractions visit:https://brainly.com/question/21449807

#SPJ4

Answer:

Step-by-step explanation:

x- int

1/3x - 2/3 = 0

1/3x = 2/3

3(1/3x = 2/3)

x = 2

(2, 0)

y- int

y = 1/3(0) - 2/3

y = 0 - 2/3

y = -2/3

(0, -2/3)

Answer:

f(x)=x+6

-2+6

4

when x=0

0+6

6

when x=5

5+6

11

Step-by-step explanation: