A bike trail is 5 1/10 long. Jade rides 1/4 of the trail before stopping for a water break. How many miles does jade ride before stopping?

Answer:

First, transform the given equation into the slope-intercept form, y = mx + b.

2x - 3y < 12

3y > 2x - 12

y > \(\frac{2}{3}\)x - 4

Since the equation is y > \(\frac{2}{3}\)x - 4, first draw the graph of y = \(\frac{2}{3}\)x - 4 with a dotted line (because it is >, not ≥) and shade the area above the dotted line.

The measures represent a 7-point Likert scale.

Interval scales are numerical scales in which the difference between any two adjacent points is the same.

Examples of interval scales include temperature (in Celsius or Fahrenheit), standard IQ scores, and dates.

Ordinal scales are numerical scales in which the difference between any two adjacent points is not necessarily the same.

Examples of ordinal scales include rankings (e.g., 1st, 2nd, 3rd, etc.), letter grades (A, B, C, etc.), and Likert scales (e.g., strongly agree, agree, neutral, disagree, strongly disagree).

Ordinal scales allow for the ranking of items, but the distances between points on the scale are not necessarily equal.

Interval scales, on the other hand, measure the distance between points on the scale and the difference between any two points is the same.

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9514 1404 393

Answer:

  E, D, A, C, B

Step-by-step explanation:

It is all about rounding.

To estimate the product, round each value to 1 significant figure. For example, 46.7 rounds to 50, and 31.7 rounds to 30. The estimate of the product will be the product of these rounded values: 50·30 = 1500.

__

Top to bottom, the appropriate estimates are ...

  E, D, A, C, B

where the right-side choices are given letters A-E, top to bottom.

Answer:

The slope of line b is  \(\frac{5}{8}\)

Step-by-step explanation:

∵ The equation of line a is y = \(-\frac{8}{5}\) x + \(\frac{4}{3}\)

→ Compare it with the form of the equation above to find m

∴ m = \(-\frac{8}{5}\)

∴ The slope of the line a is  \(-\frac{8}{5}\)

∵ Line b is perpendicular to line h

∴ The product of their slopes = -1

→ To find the slope of b reciprocal the slope of line a and change its sign

∵ The reciprocal of and opposite sign of  \(-\frac{8}{5}\) is \(\frac{5}{8}\)

∴ The slope of line b is  \(\frac{5}{8}\)

To check your answer multiply the slopes they must give you -1

∵ \(-\frac{8}{5}\)  ×  \(\frac{5}{8}\)  = -1

∴ The answer is correct

Answer:

forgive me i need points

Step-by-step explanation:

The length of the given line AB is 6 units and the polygon ABCDEF has been created.

A graph is a mathematical structure made up of a collection of points called VERTICES and a set of lines connecting some pair of VERTICES that may or may not be empty.

There is a chance that the edges will be directed, or orientated.

If the lines are directed or undirected, respectively, they are referred to as ARCS or EDGES.

Make a sequence of bars on graph paper as an example of a graph.

So, in the given situation the polygon ABCDEF has been created:

(Refer to the graph attached below)

Now, the length of the side AB:

Count the units as follows which comes to 6 units.

Therefore, the length of the given line AB is 6 units and the polygon ABCDEF has been created.

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Correct question:

Help Here is your graph of the points on the previous screen.

Connect the points in order to create polygon `ABCDEF`.

1.2 Enter the length of the segment between A and B.

Answer:

y = x² + 6

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (0, 6) , let a = 1 , then

y = (x - 0)² + 6 , that is

y = x² + 6

The class that lost the most pencils overall based on the data displayed is D. Mr. Johnson's class; it has a wide spread in the data

The answer is Mr. Johnson's class. The median is the middle value in a set of data. In Mr. Johnson's class, the median is 11 pencils. This means that half of the students in his class lost 11 or fewer pencils, and half of the students lost 11 or more pencils.

In Mr. Simpson's class, the median is 14.5 pencils. This means that half of the students in his class lost 14.5 or fewer pencils, and half of the students lost 14.5 or more pencils.

Since the median for Mr. Johnson's class is lower than the median for Mr. Simpson's class, we can conclude that Mr. Johnson's class lost more pencils overall.

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The value of x = 6cm.

What is surface area?

The area is the area occupied by a two-dimensional flat surface. It has a square unit of measurement. The surface area of a three-dimensional object refers to the space occupied by its outer surface.

From the given figure,

Surface area(A) = \(192cm^{2}\)

Height = 8cm

a base side = 6 cm

b base side = 10 cm

c base side = x cm

Therefore,  TSA= 2B +Px = \(2 \times\frac{1}{2} \times8\times6 +(6+10+8)x\)

                                          =48+24x

Thus, 60+24x=192

                     \(x=\frac{192-48}{24}\)

                      x= 6cm

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The log function is also called Logarithmic functions.

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Answer:

5 2/3 pound of 1 cake

Step-by-step explanation:

34 / 6 =

(30 / 6) + (4 / 6) =

5 + 2/3 =

5 2/3

The given differential equation is:

\(\frac{d^2y}{dx^2} - 4\frac{dy}{dx} + 4y = x\)

To solve the homogeneous equation:

\(\frac{d^2y}{dx^2} - 4\frac{dy}{dx} + 4y = 0\)

We find the auxiliary equation:

\(m^2 - 4m + 4 = (m-2)^2 = 0\)

This equation has the root 2 with a multiplicity of 2. We use the exponential function corresponding to this root:

\(y_2 = ue^{2x}\)

Differentiating with respect to x, we have:

\(y_2' = (u' + 2u)e^{2x}\)

\(y_2'' = (u'' + 4u' + 4u)e^{2x}\)

Substituting \(y_2\), \(y_2'\), and \(y_2''\) into the homogeneous equation:

\(\left[(u'' + 4u' + 4u) - 4(u' + 2u) + 4u\right]e^{2x} = 0\)

Simplifying the equation, we have:

\(u'' = 0\)

Integrating \(u'' = 0\), we obtain \(u = ax + b\)

Integrating once more to find \(u\), we have \(u = \frac{1}{2}x^2 + cx + d\)

The general solution is given by \(y = y_h + y_p = (c_1 + c_2x)e^{2x} + \frac{1}{2}x^2 + cx + d\)

Therefore, the general solution to the given differential equation is:

\(y = (c_1 + c_2x)e^{2x} + \frac{1}{2}x^2 + cx + d\)

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Answer: each pencil would cost 0.36¢

Step-by-step explanation: first, divide 12.82 by 36 to get the unit rate. The answer should be 0.356111111. Now round that to the nearest cent. 0.356111111~0.36

Answer:

Each pencil is worth 36 cents

Step-by-step explanation:

To do the problem we have to find the unit price which is \(Total Price/Total Units\)

Once you have that round the answer then the answer is 0.36

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Hope this helps!!

- Brooklynn Deka

The number of nonnegative integer solutions to the inequality x1 + x2 + x3 ≤ 11 is C(14,3) = 364.

We can solve this inequality by introducing an auxiliary variable x4, such that x1 + x2 + x3 + x4 = 11. Here, x1, x2, x3, and x4 are all nonnegative integers.

We can interpret this equation as follows: imagine we have 11 identical objects and we want to distribute them among four boxes (x1, x2, x3, and x4). Each box can contain any number of objects, including zero. The number of solutions to this equation will give us the number of nonnegative integer solutions to the original inequality.

We can use a technique known as stars and bars to count the number of solutions to this equation. Imagine we represent the 11 objects as stars: ***********.

We can then place three bars to divide the stars into four groups, each group representing one of the variables x1, x2, x3, and x4. For example, if we place the first bar after the first star, the second bar after the third star, and the third bar after the fifth star, we get the following arrangement:

| ** | * | ****

This arrangement corresponds to the solution x1=1, x2=2, x3=1, and x4=7. Notice that the number of stars to the left of the first bar gives the value of x1, the number of stars between the first and second bars gives the value of x2, and so on.

We can place the bars in any order, so we need to count the number of ways to arrange three bars among 14 positions (11 stars and 3 bars). This is equivalent to choosing 3 positions out of 14 to place the bars, which can be done in C(14,3) ways.

Therefore, the number of nonnegative integer solutions to the inequality x1 + x2 + x3 ≤ 11 is C(14,3) = 364.

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Answer:

16:24

Step-by-step explanation:

Write this \(\frac{2}{3}\) \(\frac{16}{x}\)  (Cross multiply)

16*3 = 2*x

48 = 2x (divide by 2)

24 = x

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The width of the concrete path is 0.65 m.

The width of the concrete path is calculated as follows;

let the width of the concrete path = x

The dimensions of the shed with the path around it is determined as;

2x + 4  by 2x + 2

The equation for the area of this path becomes;

(2x + 4)(2x + 2)  - (4 x 2) = 9.5

4x² + 4x + 8x + 8 - 8 = 9.5

4x² + 12x = 9.5

4x² + 12x - 9.5 = 0

solve the quadratic equation using formula method;

a = 4, b = 12, and c = -9.5.

The solution becomes, x = 0.65 m or - 3.65

We will take the positive dimension, x = 0.65 m

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Part A: To find the total surface area of the rectangular prism, we need to calculate the areas of all six faces and then add them together.

Given dimensions:

Length = 7 feet

Width = 3 feet

Height = 4.8 feet

Surface Area of each face:

Front and back faces: Length * Height

= 7 feet * 4.8 feet

= 33.6 square feet

Top and bottom faces: Width * Length

= 3 feet * 7 feet

= 21 square feet

Side faces: Width * Height

= 3 feet * 4.8 feet

= 14.4 square feet

Total Surface Area:

2 * (Front and back faces) + 2 * (Top and bottom faces) + 2 * (Side faces)

= 2 * 33.6 square feet + 2 * 21 square feet + 2 * 14.4 square feet

= 67.2 square feet + 42 square feet + 28.8 square feet

= 137 square feet

Therefore, the total surface area of the bench is 137 square feet.

Part B: To calculate the cost of covering the bench with ceramic tiles, we need to multiply the total surface area by the cost per square foot.

Cost per square foot = $0.89

Total Surface Area = 137 square feet

Total cost to cover the bench:

= Cost per square foot * Total Surface Area

= $0.89 * 137 square feet

= $121.93

Therefore, it will cost $121.93 to cover the bench with ceramic tiles.

Use an additive or reduction formula to determine an expression as a fractional derivative of one number, which is provided as -1/2.

The three basic trigonometric operations are sine, cosine, and tangent. Cotangent, radial basis, and cotangent functions are all built on these three fundamental functions. All trigonometry concepts are built on top of these functions. The learning of trigonometry is not really easy until pupils are familiarized with all the terms and formulae. As a result, it is suggested that students learn each of these and practice responding to test questions from prior years.

Given expression is:

\($$\cos \left(\frac{13 \pi}{15}\right) \cos \left(\frac{-\pi}{5}\right)-\sin \left(\frac{13 \pi}{15}\right) \cdot \sin \left(\frac{-\pi}{5}\right)$$\)

We have cos A cos B - sin A sin B = cos (A + B)

Here,

A = 13π/15, B = -π/5

\($$\begin{aligned}& =\cos \left(\frac{13 \pi}{15}+\left(\frac{-\pi}{5}\right)\right) \\& =\cos \left(\frac{13 \pi}{15}-\frac{\pi}{5}\right) \\& =\cos \left(\frac{13 \pi-3 \pi}{15}\right)\end{aligned}$$\)

\($$\begin{aligned}& =\cos \left(\frac{10 \pi}{15}\right) \\& =\cos \left(\frac{2 \pi}{3}\right)\end{aligned}$$\)

= cos 120°

cos (90° + 30°)

-sin 30°

= -1/2

\($$\therefore \quad \cos \left(\frac{13 \pi}{15}\right) \cos \left(\frac{-\pi}{5}\right)-\sin \left(\frac{13 \pi}{15}\right) \sin \left(\frac{-\pi}{5}\right)=\frac{-1}{2}$$\)

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The probability that the green ball was selected from the second box is 4/5, or answer choice A.

To solve this problem, we can use Bayes' theorem. Let A be the event that a green ball is selected, and B be the event that the ball was selected from the second box. We want to find P(B|A), the probability that the ball was selected from the second box given that it is green.

We know that the probability of selecting box 1 at random is 1/3, and the probability of selecting box 2 at random is 2/3. Therefore, P(B) = 2/3 and P(B') = 1/3, where B' is the complement of B (i.e., the event that the ball was selected from the first box).

We also know that the probability of selecting a green ball from box 1 is 2/6 = 1/3, and the probability of selecting a green ball from box 2 is 4/6 = 2/3. Therefore, P(A|B') = 1/3 and P(A|B) = 2/3.

Now we can apply Bayes' theorem:

P(B|A) = P(A|B)P(B) / [P(A|B)P(B) + P(A|B')P(B')]

Plugging in the values we have:

P(B|A) = (2/3) x (2/3) / [(2/3) x (2/3) + (1/3) x (1/3)] = 4/5

Therefore, the probability that the green ball was selected from the second box is 4/5, or answer choice A.

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As per the formula of area of triangle, the height of the support beam need to be for this new ride is 3.2 feet.

In math the term area is defined as “b” be the base and “h” be the height of a triangle, then the formula to find the area of a triangle is given by. Then the Area of triangle is calculated as,

=> A = (½) b h square units.

Here we have know that an amusement park is building a new water slide which is supported by beams of 40 feet and 25 feet.

Then based on the formula of area of triangle, the height of the support beam need to be for this new ride is calculated as,

=> 40 = 1/2 x 25 x h

=> h = 80/25

=> h = 3.2

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Answer: D.

Step-by-step explanation:

You can start out with the form AX = B and solve for matrix X that would yield the answer

Then X = (A^-1)(B)

A = [1    -1]

      [1     1]

A^-1 = (1/(1 - (1)(-1)))*[1    1]

                             [-1   1]

which can be written as (1/2) * [1    1]

                                                  [-1   1]

B = [26]

     [6]

(A^-1)(B) = (1/2)*[1    1] [6]

                        [-1   1] [26]

= (1/2)*[32]

          [20]

= [16]

  [10]

The rate increases by a factor of 9 when the concentration is tripled.

It is given to us that the rate law is -

\(R=k(NO_{2} )^{2}\) ----- (1)

We have to find out the change in the rate if the concentration is tripled.

When the concentration is tripled, we can rewrite the equation (1) as -

\(R_{new} =k(3*NO_{2} )^{2}\\= > R_{new} =9*k(NO_{2} )^{2}\\= > R_{new} =9R\)[From equation (1)]

Thus, we see that the rate increases by a factor of 9 when the concentration is tripled.

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Answeni ideAA{

}

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

\(180 - 120 = 60\)

\(180 - 60 - 50 =70\)

Answer:

I think the answer is D.

Step-by-step explanation:

thats what i think at least

Answer:

D. y = 3square root of x

Step-by-step explanation:

Answer:  x=25.6

Step-by-step explanation:Look at pic to see how it is solved.

Times 6.4 on both sides which gives you 25.6 .