HELP HAVING A BAD DAY
Matt runs in the park every day at the average rate of c meters per minute.
During these 20 minutes, Matt covers 2400 meters. Use this information to write an equation.

The rate at which Ben cycles, if Andy cycles at 12 kmph is 48 kmph.

The formula for finding the rate at which Ben cycles, if Andy cycles at 12 kmph, is given by:

Ben's rate = Andy's rate x Time taken by Ben ÷ Time taken by Andy

Therefore, Ben's rate = 12 kmph x (52/3) hours ÷ (13/3) hours

Ben's rate = 48 kmph

To calculate Ben's rate, we first need to calculate the time taken by each of them. Andy sets out to cycle from Delhi to Rohtak, and Ben starts from Rohtak to cycle to Delhi. After passing each other, they completed their journey in (13/3) hours and (52/3) hours respectively.

We can calculate the rate at which Ben cycles as follows:

Calculate the time taken by each of them.

Time taken by Andy = 13/3 hours

Time taken by Ben = 52/3 hours

Calculate Ben's rate using the formula given above.

Ben's rate = 12 kmph x (52/3) hours ÷ (13/3) hours

Ben's rate = 48 kmph

Therefore, the rate at which Ben cycles, if Andy cycles at 12 kmph is 48 kmph.

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Answer:

x = -3 and x = 17

Step-by-step explanation:

x² - 51 = 14x

x² - 14x - 51 = 0

(x + 3)(x - 17) = 0

x = -3 and x = 17

Answer:

x=-3 and x=17. Success to the homework.

Answer:

It's 0.20

Step-by-step explanation:

The distance between the base of the model tree to the edge of the model bench is  0.2 yard.

A diagram is attached which describe the statement of question.

From diagram attached below, It is observed that both triangles are similar triangles.

The ratio of corresponding sides are same in the similar triangles.

the distance between the base of the model tree to the edge of the model bench is  x.

                     \(\frac{5}{x}=\frac{10}{0.4}\\ \\ 10x=2\\\\x=2/10=0.2yard\)                

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Answer:

C) Marisol computed StartFraction y 2 minus x 2 Over y 1 minus x 1 EndFraction.

Step-by-step explanation:

Chase and Simon (1973) conducted a study on the memory of chess novices and experts for positions of chess pieces on a chessboard. They found that although experts generally have a better memory for chess positions than novices, novices performed equally or even better than experts when asked to recall random arrangements of chess pieces on the chessboard, even if the arrangements couldn't occur in a real game of chess.

One possible explanation for this phenomenon is that experts rely heavily on their knowledge of typical chess positions and patterns to remember the positions of the pieces. However, when the pieces are arranged randomly, these patterns are disrupted, and experts may struggle to apply their existing knowledge effectively. On the other hand, novices may not have developed strong patterns or strategies yet, so they approach the task with a more flexible mindset and are less affected by the random arrangement. They may use more general memory strategies, such as chunking or grouping the pieces together, which can be useful for recalling random arrangements.
In summary, novices may perform as well as experts when the pieces are arranged randomly because they rely less on established patterns and can use more general memory strategies to recall the positions.

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Solving a simple linear equation we can see that the value of b is 7.

Here we have the point (5, b - 7) and we want to find the value of b such that the point lies on the x-axis.

Remember that a point lies on the x-axis only if the y-value is zero, so we need to solve the linear equation:

b - 7 = 0

Adding 7 in both sides we get:

b - 7+ 7 = 0 + 7

b = 7

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Answer: x= 95° ;  y= 35°

Step-by-step explanation:

If J II K (symmetrical), then x°= 180°- 85°

                                            x°= 95°

In addition to this, because the J II K lines are symmetrical:

                               (5y-90)°= 85°

                              5y°- 90° = 85°

                                       5y°= 85°+ 90°

                                      5y° = 175°

                                  5y°/ 5 = 175°/5

                                          y°= 35°

Answer:

see below

Step-by-step explanation:

A 1,0

B 3,0

P 0,3

Q 2, -1

Answer:

m<1 =83

m<2 =97

The measurement of the angles is m<1 =83, m<2 =97.

An angle is a term used to describe the distance between two parallel lines that start at the same position.

An angle is a measurement of how much one of the lines must be turned to perfectly overlap the other.

A protractor is used to measure angles in degrees (°).

Angles can be measured from 0 to 360 degrees.

Thus, by knowing the angles, he can cut the different colors of plastic.

The angles are m<1 =83, m<2 =97.

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Answer:

B

Step-by-step explanation:

The distribution in residence is different today at a 0.05 level of significance can be conclude because the p-value = 0.0172

from the data given we can make the table below:

Categories       Observed(fo)        Expected (fe)        (fo-fe)²/fe

NW Oregon        3109           4357*0.727=3167.539       1.082

SW Oregon        902             4357*0.207=901.899           0

Central Oregon    244          4357*0.048=209.136         5.812

Eastern Oregon    102           4357*0.028=121.996         3.277

Sum =                    4357        4357                                   10.171

first,  null and alternative hypotheses need to be tested:

H0​:p1​=0.727,p2​=0.207,p3​=0.048,p4​=0.028

Ha​: The population proportion partially deviates from the value given by the null hypothesis

This corresponds to a Chi-Square test for Goodness of Fit.

then, Based on the data provided, the significance level is α=0.05, the number of degrees of freedom is df=4−1=3, so then the rejection region for this test is R={\(X^{2}X^{2}\)>7.815}.

after that we should do test statistic

The Chi-Squared statistic is calculated as follows:

∑\(^{n} _{i=1}\)\(\frac{(Oi-Ei)}{y} \\\) =   1.082+0+5.812+10.171 +3.277= 10.171

the we can make a decision about the null hypothesis by

\(X^{2} = 10.71 > X^{2} _{c} = 7.815\)

it is then concluded that the null hypothesis is rejected.

Therefore, there is enough evidence to claim that some of the population proportions differ from those stated in the null hypothesis, at the α=0.05 significance level.

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Answer:

The quotient when \(x^3-4x^2-8x+8\) is divided by \(x+2\) is \(x^2-6x+4\) with no remainder, so x+2 is a factor of p(x).

Step-by-step explanation:

As the question suggests, there are two ways to solve this problem: long division (which can always be used to divide polynomials), and synthetic division (which can only be used when you are dividing by something of the form \((x-a)\). In this case, we may use synthetic division, since \(x+2\) is equal to \(x-(-2)\). I will use synthetic division here as it is slightly faster than long division.

The -2 on the left represents that we are dividing by x-(-2), and the rest of the numbers in the top row are the coefficients of p(x): 1, -4, -8, and 8.

The first step in synthetic division is to being down the leading coefficient of the polynomial: in this case, the 1 (as indicated in red). Now, we multiply the 1 by -2. We get -2, which we place directly below the -4.

Next, we add directly down the column, (-4 + (-2) is equal to -6), and this answer is placed in the box below. We can continue this process, getting the coefficients 1, -6, 4, and 0 in the bottom row.

This is the answer: the quotient is \(x^2-6x+4\), and the remainder is zero (which indicates that x+2 is a factor of p(x)).

--

Edit: long division

We may also solve this problem using long division (see the second image). The first step is to look at the leading coefficients: since \(x \times x^2\) is equal to \(x^3\), the first term in the quotient will be \(x^2\). Since \(x^2 \times (x+2)\) is equal to \(x^3+2x^2\), we must now subtract that from \(x^3-4x^2-8x+8\).

We repeat the same process, as shown in the image. Since we eventually get to zero, the remainder is zero, and the polynomial at the top (x^2-6x+4) is the quotient.

I know this might be difficult to follow, so please comment if you have any questions.

Answer: dunno

Step-by-step explanation: dunno

Answer: n + 9

Step-by-step explanation:

L = 1.3245 is  the legnths of the pen's sides .

What is area and perimeter?

Perimeter is the distance around the outside of a shape. Area measures the space inside a shape.

The equation for perimeter is 2L + W = 30 ( I'm assuming that the shed takes up one of the Widths, but you can use the Length if you want, it doesn't matter.)

So W = 30 - 2L.

Area = L x W = L (30 - 2L) = 30L - 2L^2.

This is a quadratic equation, easily graphed as a parabola, with a maximum point at L = 1.3245 .

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The apothem is the perpendicular distance from the center of a regular polygon to any one of its sides.

The apothem of a regular polygon is the perpendicular distance from the center of the polygon to any one of its sides because it serves as a measure of the inradius, or the radius of the circle inscribed within the polygon. In a regular polygon, all sides are congruent and all interior angles are equal, so the apothem is the same for all sides.

To see this, imagine drawing radii from the center of the polygon to each vertex, and then drawing the perpendicular bisector of each side. These perpendicular bisectors will all intersect at the same point, which is the center of the polygon. The apothem is the length of the line segment connecting this center point to any one of the sides of the polygon.

The apothem is useful in finding the area of a regular polygon. By using the formula for the area of a regular polygon in terms of the apothem and the number of sides, one can find the area of a regular polygon without having to find the exact shape of the polygon.

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Answer:

A. y = -0.7x + 1.9

Step-by-step explanation:

Answer:

1188 grams

Step-by-step explanation:

You want the 12g of sugar to be 1% of the whole solution.

So, say you add  grams of water. The solution will be composed of 12 grams of sugar and  grams of water, for a total of  grams.

So, the ratio "sugar/total" will be

and we want this ratio to be 1%, i.e. 1/100:

Multiply both sides by 100 and  to get

Subtract 12 from both sides:

So, a solution composed of 1188 grams of water and 12 grams of sugar will be 99% water and 1% sugar.

Answer: 1188 grams of water

Step-by-step explanation:

Sugar = 1% = 12

Whole = 100% = 12·100 = 1200

Water = 99% = 1200 - 12 = 1188

You Need 1188 Grams Of Water To Make The Solution 1% Sugar

Answer:

2mx-x+2018

Step-by-step explanation:

multiply each term in the parentheses by x

True. The general solution to a third-order differential equation typically contains three arbitrary constants.

The general solution to a third-order differential equation must contain three constants. This is because the order of a differential equation refers to the highest derivative present in the equation. A third-order differential equation involves the third derivative of the unknown function.

When solving a differential equation, we typically find a general solution that encompasses all possible solutions to the equation. This general solution includes an arbitrary number of constants, depending on the order of the differential equation.

For a third-order differential equation, the general solution will contain three arbitrary constants. This is because each constant represents a degree of freedom in the solution, allowing us to accommodate a wide range of functions that satisfy the given differential equation.These constants can be determined by applying initial conditions or boundary conditions to the differential equation, which narrows down the solution to a particular function.

Therefore, when dealing with a third-order differential equation, it is expected that the general solution will contain three constants to account for the necessary degrees of freedom in constructing the solution.

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Answer:

\(The \ equation \ in \ point \ and \ slope \ form \ is; \ y - 3 = -\dfrac{1}{2} \cdot (x - 1)\)

Step-by-step explanation:

The coordinates of the points through which the line passes are (1, 3) and (5, 1)

The slope, m, of a line given the coordinates of two known points on the line, (x₁, y₁), (x₂, y₂) can be found as follows;

\(Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

The slope of the given line is therefore \(m =\dfrac{1-3}{5-1} = \dfrac{-2}{4} = -\dfrac{1}{2}\)

The equation of the line in point and slope form is therefore, y - y₁ = m·(x - x₁) or y - y₂ = m·(x - x₂)

Therefore, by substituting the known values, we have the equation in point and slope form as follows;

\(y - 3 = -\dfrac{1}{2} \cdot (x - 1)\)

Answer: \(\frac{5}{9}\ m\)

Step-by-step explanation:

Given

Area of the rectangular piece of paper is \(A=\frac{1}{3}\ m^2\)

Length of the paper is \(l=\frac{3}{5}\ m\)

Suppose width of the paper is \(w\)

Area is the multiplication of length and width

\(\therefore A=lw\\\\\Rightarrow \dfrac{1}{3}=\dfrac{3}{5}\times w\\\\\Rightarrow w=\dfrac{5}{9}\ m\)

Thus, the width of the paper is \(\frac{5}{9}\ m\)

Answer:

yes they are viruses i think never go to the website

Step-by-step explanation:

Answer:  C

Step-by-step explanation:

when x increases by 1 y increases by 2 and is consistent

hope this helps :3

From the given information, total surplus in a market is equal to the sum of consumer surplus and producer surplus.

Consumer surplus is the difference between the highest price a consumer is willing to pay for a good or service (the "reservation price") and the actual price they pay. Producer surplus is the difference between the lowest price a producer is willing to accept for goods or services and the actual price they receive.

When a market is in equilibrium, the price and quantity are such that the quantity demanded equals the quantity supplied. At this point, total surplus is maximized, since all trades that benefit both consumers and producers have taken place. The total surplus represents the net benefit to society from the production and consumption of the good or service in the market.

In other words, total surplus is the sum of the gains from trade that accrue to consumers and producers in the market, and it represents the difference between the value that buyers and sellers place on the good or service and the resources that were actually used to produce it.

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1) For A Plus Plumbing

A. The cost per hour of work is $60 per hour.

B. The one-time fee is $320.

2) For Quality Plumbing:

The cost for x hours of work is given by the equation cost = 50x - 50

1) For A Plus Plumbing:

A. To calculate the cost per hour of work, we need to find the slope of the line connecting two points on the table. Let's use the first two rows:

slope = (cost2 - cost1) / (time2 - time1) = (140 - 80) / (2 - 1) = 60

So the cost per hour of work for A Plus Plumbing is $60 per hour.

B. The one-time fee is given in the table as the cost when time is zero. From the table, we can see that the one-time fee for A Plus Plumbing is $320.

2) For Quality Plumbing,

We can see from the graph that the cost starts at $50 for two hours of work and increases by $50 for each additional hour. This means that the cost for x hours of work can be calculated using the equation:

cost = 50 + 50(x-2) = 50x - 50

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The given question is incomplete, the complete question is:

Two plumbing companies charge money for each hour of work, plus a one-time fee. A Plus Plumbing charges according to this table: time (hours) cost (dollars) row 10 80 row 21 140 row 3 4 320 Quality Plumbing charges according to this graph 2501 200 cost (dollars) 150 100 50 2 3 4 5 6 time (hours) 1. For A Plus Plumbing A. How much does it cost for each hour of work? B. What is the one-time fee? 2. For Quality Plumbing A. How much do they charge for each hour of work?

Answer:

0.06km

Step-by-step explanation:

15÷1000=0.0015

0.0015×4=0.06

A simple random sampling of 5 observations from a population containing 400 elements was taken. Then, the point estimate of the population means is 18.

You have a simple random sample of 5 observations from a population containing 400 elements, and the observed values are 12, 18, 19, 20, and 21.

To calculate the point estimate of the population mean, we simply take the average of the sample values.

Point estimate of population mean = (12 + 18 + 19 + 20 + 21)/5 = 18

Therefore, the point estimate of the population means is 18.

To clarify the terms used in the question, a "random sample" is a sample that is selected randomly from the population, meaning that every element in the population has an equal chance of being included in the sample. In this case, a simple random sample of 5 observations was taken. "Elements" refers to the individual units or objects within the population that is being studied. In this case, there were 400 elements in the population.

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Answer:

Step-by-step explanation:

Minimum Amount = circumference of the pond.

Formulas

C = pi * d

Givens

pi = 3.14

d = 30 feet

Solution

C = pi*d             Substitute for the givens.

C = 3.14 * 30      Multiply

C =  94.2