a trough is 10ft long and its ends have the shape of isoscles triangles that are 3ft across at the top and have a height of 1ft. if the trough is being filled with water at a rate of 12ft/min, how fast is the water level rising when the water is 6 inches deep?

The 1st graph best represents Andy’s bike ride

(Consider the image I attached)

Andy's speed and time were initially at point 1 (starting point). That is he is not moving

If he rapidly pedaled his bike to reach a certain speed. That is, he moved from point 1 to point 2. This implies the speed increase with an increase in time.

Then continued at that speed.  That is, he moved from point 2 to point 3.   This implies the speed remains the same with an increase in time

He rapidly pedaled again. That is, he moved from point 3 to point 4. The speed increase with an increase in time again.

Then quickly pressed on his brakes to come to a stop. That is, he moved from point 4 to point 5.

Learn more about speed-time graph on:

brainly.com/question/769606

#SPJ1

The graphed linear equation will be [tex]y= 6+ (\frac{-3}{2}x )[/tex].

What is Graphed linear equation?

A linear equation with two variables has a line as its graph, which is why it is referred to as linear. Plotting the points (x1,y1) and (x2,y2) and the line that connects them.

Solution:

        [tex]Slope \ of\ line= \frac{(y_{2-} y_{1} )}{(x_{2-} x_{1} )} \\\\Slope \ of\ line = \frac{-6} {4} \\\\Slope \ of\ line = \frac{-3}{2}[/tex]

One point on the line is (0,6)

The equation of the line is,

         [tex]y-6= (\frac{-3}{2} )(x-0)\\\\y-6= (\frac{-3}{2} )(x)\\\\y= 6+ (\frac{-3}{2}x )[/tex]

The graphed linear equation will be [tex]y= 6+ (\frac{-3}{2}x )[/tex].

To know more about Graphed linear equation visit,

https://brainly.com/question/4074386

#SPJ1

Answer:  B. 278%

Step-by-step explanation:

The area of the circle formula is area = pi times r^2

Let's find the area of Circle X.

3.14 times 5^2 = 78.5

Let's find the area of Circle Y

3.14 times 3^2 = 28.26

Now take 78.5 divided by 28.26, then times 100% = 277.7% or ground up to 278%

So the answer is B. 278%

In order to maximize trade according to the principles of comparative advantage, the option most suitable from the following is

country Y should produce food and import clothes from country X.

The science of statistics focuses on creating and researching strategies for gathering, analyzing, interpreting, and presenting empirical data.

The four components of a descriptive statistics problem are sample size, necessary variables, numerical summary tools, and conclusions.

The maximum and minimum values in the data set, the lower and upper quartiles, and the median make up a summary's five values. Minimum value, lower quartile (Q1), median value (Q2), upper quartile (Q3), and maximum value are all listed together in this sequence.

From the above explanation we get to know

the solution to the above question is B

country Y should produce food and import clothes from country X.

To learn more about statistics click the following link:-

https://brainly.com/question/15525560

#SPJ4

The equation describing the relationship between P and the width of the pen, w is P = 1/3L².

Area of a rectangular pen = Length × width

P = L × 1/3L

P = 1/3L²

L² = P ÷ 1/3

multiply by the reciprocal of 1/3

L² = P × 3/1

L² = 3P

Find the square root of both sides

L = √3P

To solve the equation for w

Width of the rectangular pen = 1/3L

w = 1/3(√3P)

In conclusion, the relationship between P and the width of the pen, w is P = 1/3L².

Read more on rectangular pen:

https://brainly.com/question/23821172

#SPJ1

Answer:

01763

Step-by-step explanation:

Because i use calculator

The system of equation to calculate the number of apples and oranges is given by x + y = 15 and 0.5x + 0.65y = 9 .

The number of apples is x and the number of oranges is y .

Total number of fruits bought is 15.

Hence we can write the equation for the number of fruits as:

x + y = 15

This is our first equation of the system.

Now each apple costs $ 0.5 , cost of x apples = 0.5x

Now each orange costs $0.65 , cost of y apples = 0.65y

Total cost is 9 apples.

Hence total cost can be represented by 0.5x + 0.65y = 9

Therefore the system of equations to represent the above situation is given by:

x + y = 15

0.5x + 0.65y = 9 .

A system of equations, often known as a set of simultaneous equations or an equation system, is a finite type of linear problem for which common solutions have been identified.

A system of equations can be classified similarly to a single equation. In everyday life, equation systems are utilised to model problems when the unknown values can be represented as variables.

To learn more about system of equations visit:

https://brainly.com/question/21620502

#SPJ4

The value of the expression  0.7g - 2.7h at g = 17 and h = 2 is 6.5.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, A numerical expression 0.7g - 2.7h.

Now, The values of the expression at g = 17 and h = 2 can be obtained if we replace these numerical values of g and h.

∴ 0.7g - 2.7h.

= 0.7(17) - 2.7(2).

= 11.9 - 5.4.

= 6.5

learn more about numerical expressions here :

https://brainly.com/question/29199574

#SPJ1

For the given partially decoupled system, dv/dt = -v , v(0) = -1 and dy/dt = v , y(0) = 100

The value of the constant that appears when solving for y(t) i.e, c₂ is 99..

We have given that

dv/dt = -v ; v(0) = -1

By separtion of variables ,

dv/v = - dt

=> ₋₁∫ᵛ dv/v = ₀∫ᵗ -1 dt

=> ₋₁[ ln(v) ]ᵛ = ₀[ -t]ᵗ

=> ln(v) - (-ln(-1)) = -t - 0

=> ln(v/-1) = - t

=> -v = e⁻ᵗ

=> v = - e⁻ᵗ

Now, dy/dt = v = - e⁻ᵗ

Integrating both sides y = 0 to 100 and t =0 to t

₀∫ʸ 1dy = ₀∫ᵗ - e⁻ᵗ dt

=> ₀[ y ]ʸ = - ₀[- e⁻ᵗ ]ᵗ

=> y - 100 = e⁻ᵗ - 1/e⁰ (since y(0)= 100) => y - 100 = e⁻ᵗ - 1

=> y = e⁻ᵗ - 1 + 100

=> y = e⁻ᵗ + 99

Which is general solution of dy/dt .

So, the constant that appears when solving for y(t), c₂ is 99.

To learn more about Separation of variables method, refer:

https://brainly.com/question/17214196

#SPJ4

Complete question:

dy/dt =v, y(0) = 100 ; dv/dt = -v , v(0) = - 1 ..This is a partially decoupled system. Solve for v(t) first by separation of variables. Then substitute into the second equation and solve for y(t). If C1 is the constant that is in the general solution for v(t), and C2 is the constant that appears when solving for y(t), what is the value of C2?

Answer:

20

Step-by-step explanation:

The answer to this Question based on donations is 40 and 85

What is a donation?

Giving things to poor and needy people is called donating things and this word thing can contain anything from money to household things etc

Here music club has made ticket sales and donations are collected but both are different amounts for 2 weeks

hence we can add them to get total expense

On adding ticket sales and donations for 2 weeks we get 23t + 50 + 17t + 35

= 40t + 85 where t represents price for one ticket

Hence our answer is just coefficients that are 40 and 85 respetively

To learn more about donation:

https://brainly.com/question/28838440

#SPJ1

It will take 57.9 years for the account value to reach 9400 dollars.

What does the term "simple interest" mean?

Simple interest is calculated based on a loan's principal or the initial deposit into a savings account. Simple interest doesn't compound, therefore a creditor will only charge interest on the principal sum, and a borrower will never be required to pay further interest on the interest that has already accrued.

The fact that

The equation for simple interest is:

A = P(1+rt)

where

The final investment value is A.

P is the initial investment's principal.

The interest rate is r.

There are t time periods.

We have a problem with this.

t = ?

P = $2100

A = $9400

r = 6% = 6/100 = 0.06

In the formula above, substitute

9400 = 2100 (1+t[0.06])

1 + 0.06t = 94/21

t = 94 - 21 / 21 * 0.06

t = 73/1.26

t = 57.9 years

Learn more about simple interest

https://brainly.com/question/25793394

#SPJ1

Answer:

$500

Step-by-step explanation:

100-12=88

88/100=440/x

88x=100(440)

88x=44000

/88.  /88

x=500

hopes this helps

Answer: 965cm =9.65 meters

Step-by-step explanation:

The measurement of each diagonal is 5 cm in the given rectangle.

The diagonals of a rectangle are the two line segments that connect opposite corners of the rectangle and divide the rectangle into four right triangles.

Two diagonals of the rectangle are 3x+2cm and 2x +3cm which is given in the question.

The diagonals of a rectangle are equal in length, so we can set the two given lengths equal to each other:

3x + 2 cm = 2x + 3 cm

Subtracting 2x and 3 from both sides gives us:

x = 1 cm

Substituting this value back into the original equations gives us:

3(1) + 2 cm = 2(1) + 3 cm

3 + 2 cm = 2 + 3 cm

5 cm = 5 cm

Therefore, each diagonal has a length of 5 cm.

Learn more about the rectangle here:

brainly.com/question/15287805

#SPJ1

The slope of the two points, (1,3) and (-3,5) is -1/2 and can be calculated by the point-slope formula.

We know that the slope is a change in y divided by a change in x or we can say  "rise over run". The point-slope formula is given by-

(y2-y1) = m (x2-x1) ........where m is the slope.

Hence, we can manipulate it into m= (y2-y1) /(x2-x1) to find the slope of the given points.

let (1,3) = (x1,y1)

and (-3,5) = (x2,y2)

substituting these coordinates in the equation of the slope we get,

slope= (5-3) /(-3-1)

         = 2/-4

         = -1/2

Hence, the slope of the given two points (1,3) and (-3,5) is -1/2.

Read more about the point-slope formula:

brainly.com/question/18617367

#SPJ4

The complete question is -

What is the slope of (1, 3) and (-3, 5)?

We are expected to land on each color 20 times in 180 spins

Probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%

probability of landing any color on any given attempt is 1/9 or 0.11, since all colors are different,  the probability for each is the same.

if you multiply the probability by 180 you will find the amount of time you will expect to land on each color

Hence, 1/9 x 180 = 20times

Hence are expected to land on each color 20 times in 180 spins

Learn more about probability at:https://brainly.com/question/25688842

#SPJ1

Answer:

There is no exact answer to this question as it depends on the complexity of the puzzle. Generally speaking, a puzzle with a diameter of 20 inches would contain between 1000 and 2000 pieces.

Step-by-step explanation:

Answer:

this is a positive correlation

Step-by-step explanation:

it is going up so its positive

the only factor that someone has to focus that unit is the same.

What is a fraction?

If the numerator is bigger, it is referred to as an improper fraction and can also be expressed as a mixed number, which is a whole-number quotient with a proper-fraction remainder.A fraction in mathematics is a number that is stated as a percentage, such as 1/2 or 2/3. The bottom number indicates all of the components that make up a single unit.

Any fraction can be expressed in decimal form by dividing it by its denominator. One or more digits may continue to repeat indefinitely or the result may come to a stop at some point.

when adding fractions with like denominators it is important for students to focus on which key idea that

Units are the same.

Hence the only factor that someone has to focus that unit is the same.

Learn more about Fraction, by the following link.

https://brainly.com/question/17220365

#SPJ4

The cost of one calzone given the information in the table is $8.75 (first option).

The first step is to form a system of equation to represent the information in the question:

16p + 12c = 269 equation 1

20p + 8c = 275 equation 2

Where:

p =cost of pizzas bought

c = cost of calzones bought

The elimination method would be used to determine the cost of one calzone.

Multiply equation 1 by 5 and equation 2 by 4

80p + 60c = 1345 equation 3

80p + 32c = 1100 equation 4

Subtract equation 4 from equation 3

28c = 245

Divide both sides of the equation by 28

c = 245 / 28

c = $8.75

To learn more about system of equations, please check: https://brainly.com/question/25875552

#SPJ1

A square is any 2-dimensional shape that has all 4 sides equal and opposite sides parallel.

A square is typically identified when we see any shape which has 4 sides. These sides are equal to one another. The opposite sides are parallel. Another very important feature to be noted is that a square makes an angle of 90° with its adjacent sides.

If the angles are not 90°, then the shape is a rhombus and not a square.

A perfect example of a square is the game board of ludo. That is a perfect square. Another example is a handkerchief.

To know more about squares visit

https://brainly.com/question/28776767

#SPJ4

Answer:

What do you need here Any help?

By using the formula of standard deviation, it can be calculated that

Standard deviation = 2.52

What is standard deviation?

At first it is important to know about variance.

Variance is the sum of the square of deviation from mean divided by the number of observations

Square root of variance gives standard deviation.

Here the data set is

3, 5, 6, 6, 9, 1

Mean = [tex]\frac{3 + 5 + 6 + 6 + 9 + 1}{6} = \frac{30}{6}[/tex] = 5

Variance = [tex]\frac{(3 - 5)^2 + (5 - 5)^2+(6 - 5)^2 + (6 - 5)^2 + (9 - 5)^2 + (1 - 5)^2}{6}[/tex]

                = [tex]\frac{4 + 0 +1+1+16+16}{6}[/tex]

                = [tex]\frac{38}{6}[/tex]

                = 6.33

Standard deviation = [tex]\sqrt{6.33}[/tex]

                                = 2.52

To learn more about standard deviation, refer to the link-

https://brainly.com/question/475676

#SPJ1

77.2 percent of mothers with children under age 6 work in the United states.

Mothers are less likely to work when their children are young than when they are older: In 2019, women with children under the age of six had a labor force participation rate of 66.4%, while those with children aged six to seventeen had a rate of 76.8%.

Among mothers with children under the age of three, married mothers were less involved than mothers of other marital situations — 62% versus 66%.

Working women confront child care challenges: According to a Center for American Progress poll, half of American families reported trouble getting child care.

Based on the amount of time and resources based on the amount of time based on the amount of time based on the length of time based on the length of time based on the length of time based on the duration of time based on the amount of time.

More over two-thirds of homemakers indicated they would "search for employment" if they could find more affordable child care. One-third of part-time parents stated they would work more hours if child care was available.

To learn more about percent visit:

brainly.com/question/29085726

#SPJ4

The solvent is the defined as a part of the solution that is in the greater quantity, and the  solute is the smaller portion of the solution.

The part broken up in a liquid to frame an answer is known as a solute. The solute fixation is a game changer in deciding if the arrangement is strong, fluid, or vaporous.

A solvent is normally a fluid that is utilized to break up a solute. A fluid breaks down different parts to produce an answer. Presently, particle creation is leaned toward by polar solvents like water yet not by nonpolar solvents like hydrocarbons. Water is a genuine illustration of a dissolvable.

The contrast among solute and dissolvable can be resolved in light of their definition, actual appearance (fundamentally a condition of issue:- strong, fluid, or gas structure), dissolvability, and limit.

To know more about solute, solvent, visit here:

https://brainly.com/question/14797683

#SPJ4

(Complete question) is:

The __________ is defined as the part of the solution that is in the greater quantity, and the __________ is the smaller portion of the solution.

The three types of investors in a business are, active investors, pre-investors and passive investors.

       A person who is simply not involved in any kind of investments, are

       called as pre-investors. A pre-investor's financial world is primarily              

       based upon consumption by giving a little preference to savings or

       investments.

       It is a starting point of an individual's entering into the investment                

      world for an individual. When an individual graduates, and learn and

      gain knowledge about investments, he sub-divides his income into

      investments to expand his income further.

       Active investors are basically built upon the foundation of the

       passive investors. They take their investments into higher heights in

       order to handle their wealth as their business.

To learn more about investors:

https://brainly.com/question/24582461

#SPJ4

Answer:

16j

Step-by-step explanation:

Since 8j is equal to 8j, you can just add 8j+8j=16j

In order to determine the critical values for an independent-samples T-test, the following information needs to be known:

The critical values for an independent-samples t test are used to determine if the differences between two samples are statistically significant. In order to calculate the critical values, the size of the sample (n), the significance level (alpha), the degrees of freedom (df), and the type of t-test (one-tailed or two-tailed) must be known. The degrees of freedom are equal to the number of observations in the sample minus

The size of the sample is the total number of observations in the two samples. The significance level is the probability of making a type-I error (rejecting the null hypothesis when it is true). Finally, the type of t-test is used to determine if the test is one-tailed (testing for a difference in one direction) or two-tailed (testing for a difference in both directions). Once all of this information is known, the critical values can be calculated to determine if the differences between the two samples are statistically significant.

Learn more about Test: https://brainly.com/question/25567167

#SPJ4