sancho can ride 8 miles on his bicycle in 30 minutes. at this rate about how long would it take him to ride 30 minutes

Answer:

\(y = - \frac{ {x}^{2} }{16} \)

Step-by-step explanation:

First, notice the diretcrtirx is a negative horinzontal lie so this means we have a parabola facing downwards

Equation of a Parabola with center (h,k) >

\((x - h) {}^{2} = - 4p(y - k)\)

Where p is the distance of the vertex to focus/ or distance to vertex to directrix

This emans that the vertex is halfway of (-4,0) and x=4.

Since this is a upwards parabola, the y value that lies on focal axis doesn't change so know this means that

The vertex is halfway between (-4,0) and (4,0).

So the vertex is (0,0).

Plugging that in we get,

\( {x}^{2} = - 4py\)

The distance to the vertex or either the focus or directrix is 4 so p=4

\( {x}^{2} = - 4(4)y\)

\( {x}^{2} = - 16y\)

\(y = - \frac{ {x}^{2} }{16} \)

The expected number of failures in 1 year is 8.9948.

The authors calculate a failure rate for PVC pipe of 0.0081 per 100 miles of pipe per day in 2008. Think of a 100-mile section of this pipe.

(I)

Given;

Mean failures per day = 0.0081

So,

Expected number of failures in 1 year = 0.0081 * 365

                                                               = 8.9948

(II)

Poisson Distribution with λ = 8.9948 is given by:

\(P(x) =\frac{e^-^8^.^9^9^4^8 8.9948^0}{x!}\)

             ⇒ for x = 0, 1, 2,. . . .

P(At least 1 failure) = 1- P(X=0);

\(P(x) = \frac{e^-^8^.^9^9^4^8 8.9948^0}{0!} = \frac{0.00012*1}{1}\)

        = 0.00012    

So,

P(At least 1 failure) = 1 - 0.00012 = 0.99988

Hence, the expected number of failures in 1 year is 8.9948.

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After divide, the solution is,

⇒ 3/2

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The expression is,

⇒ - 2 1/4 divided by (-1 1/2)

Now, We can divide as;

⇒ - 2 1/4 divided by (-1 1/2)

⇒ - 2 1/4 ÷ (-1 1/2)

⇒ - 9/4 ÷ - 3/2

⇒ - 9/4 × - 2/3

⇒ 3/2

Thus, After divide, the solution is,

⇒ 3/2

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To identify the vertical asymptotes, we have to factor the denominator. For horizontal asymptotes, we compare the degrees of the numerator and denominator.

For rational functions, there are vertical and horizontal asymptotes. To identify the vertical asymptotes, we first have to factor the denominator. After that, we should look for values that make the denominator zero. These values can be found by setting the denominator equal to zero and solving for x. The resulting x values would be the vertical asymptotes of the function.

The horizontal asymptote is the line that the function approaches as x goes towards infinity or negative infinity. For rational functions, the horizontal asymptote is found by comparing the degrees of the numerator and the denominator.

If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degree of the numerator is equal to the degree of the denominator, the horizontal asymptote is y = the ratio of the leading coefficients. If the degree of the numerator is greater than the degree of the denominator, there is no horizontal asymptote.

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Step-by-step explanation:

m=

\( \frac{y}{x} \)

=6÷-4

=-1.5

also

(-2,22)

=-2÷22

=-1.5909090

The point slope formula is used to determine the equation of a line that has a slope of m and crosses a point \($$(x_1,y_1)\). The equation in the point slope form is 8x - y + 38 = 0.

The equation of a line can be discovered using the point slope formula. Only when the slope of a line and a location on the line are known can we utilize this formula. The point slope formula is used to determine the equation of a line that has a slope of m and crosses a point \($$(x_1,y_1)\).

The equation in point slope form is \((y-y_1)(x_2-x_1)=(y_2-y_1)(x-x_1)\)

Let the given points be(-4, 6) and (-2, 22)

\($$(x_1,y_1)\) = (-4,6) and \((x_2,y_2)\) = (-2, 22)

The equation in point slope form is

\((y-y_1)(x_2-x_1)=(y_2-y_1)(x-x_1)\)

substitute the values in the above equation, we get

i.e., (y - 6)(-2 - (-4)) = (22 - 6)(x - (-4))

simplifying the above equation, we get

⇒ (y - 6)(2) = (16)(x + 4)

⇒ y - 6 = 8(x + 4)

⇒ 8x - y + 38 = 0

Therefore, the required equation in the point slope form is 8x - y + 38 = 0.

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Step-by-step explanation:

question not complete

do mark Brainliest

Answer:

105

Step-by-step explanation:

1,000 divided by 3.5% is 35

35 x 3 is 105

Since you are just asking for just the interest and not the total the answer is 105

The interest that Amy should pay is $105.

Given that,

Based on the above information, the calculation is as follows:

\(= 1000 \times 3.5\% \times 3\)

= 105

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Answer:

B

Step-by-step explanation:

Part A: The volume of that prism is 12x³ + 71x² + 97x + 20. Part B: The volume of the construction piece shown in the diagram is 10x³ + 54x² + 54x - 8.

A rectangular prism is a three-dimensional shape that is characterized by its six rectangular faces. It is also known as a rectangular parallelepiped or a cuboid. The rectangular prism has three pairs of parallel faces, and each face is perpendicular to the adjacent faces.

The rectangular prism has eight vertices (corners) and 12 edges. The length, width, and height of the rectangular prism are typically denoted as l, w, and h, respectively. The volume V of a rectangular prism is given by the formula:

V = lwh

The surface area S of a rectangular prism is given by the formula:

S = 2lw + 2lh + 2wh

where lw, lh, and wh are the areas of the six rectangular faces.

Some common examples of rectangular prisms in everyday life include boxes, bookshelves, and bricks. Rectangular prisms are used in architecture, engineering, and construction for building structures such as buildings and bridges. They are also used in mathematics and physics to model real-world situations, such as calculating the volume and surface area of a container.

Part A: The formula of volume of rectangular prism= length × width × height

V = (x+4)(4x+1)((3x+5) = 12x³ + 71x² + 97x + 20

The volume of that prism is 12x³ + 71x² + 97x + 20.

Part B:

(x+1)(2x+7)(x+4)= 2x³ + 17x² + 43x + 28
The volume of prism - the missing part

12x³ + 71x² + 97x + 20 - 2x³ + 17x² + 43x + 28 = 10x³ + 54x² + 54x - 8.

The volume of the construction piece shown in the diagram is 10x³ + 54x² + 54x - 8.

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Answer:

the  mean and standard error of the mean are 200 and 2 respectively.

Step-by-step explanation:

Given that ;

the sample size n = 81

population mean μ = 200

standard deviation of the infinite population σ = 18

A population  is the whole set of values, or individuals you are interested in, from an experimental study.

The value of population characteristics such as the  Population mean (μ), standard deviation (σ) are said to be known as the population distribution.

From the given information above;

The sample size is large and hence based on the central limit theorem the mean of all the means is same as the population mean 200.

i.e

\(\mu = \bar \mu_x\) = 200

∴ The mean = 200

and the standard error of the mean can be determined via the relation:

\(\mathbf{standard \ error \ of \ mean = \dfrac{\sigma}{\sqrt {n}}}\)

\(\mathbf{standard \ error \ of \ mean = \dfrac{18}{\sqrt {81}}}\)

\(\mathbf{standard \ error \ of \ mean = \dfrac{18}{9}}\)

\(\mathbf{standard \ error \ of \ mean =2}\)

Therefore ; the  mean and standard error of the mean are 200 and 2 respectively.

The equilibrium solutions are y = -2, y = 3, and y = -1. These values of y make the derivative of y equal to zero, resulting in a constant solution.

The autonomous differential equation y = y² - y - 6 has three equilibrium solutions, namely y = -2, y = 3, and y = -1.

To find the equilibrium solutions, we set the equation y = y² - y - 6 equal to zero and solve for y. Rearranging the equation, we get y² - 2y - 6 = 0. Applying the quadratic formula, we find the solutions for y as follows:

y = (-(-2) ± √((-2)² - 4(1)(-6))) / (2(1))

y = (2 ± √(4 + 24)) / 2

y = (2 ± √28) / 2

y = (2 ± 2√7) / 2

y = 1 ± √7

Therefore, the equilibrium solutions are y = -2, y = 3, and y = -1. These values of y make the derivative of y equal to zero, resulting in a constant solution.

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Answer: Less than or equal to 45

Step-by-step explanation:

Let's use algebra to write the inequality.

Let h be the number of hamburgers purchased and t be the number of tacos purchased.

Each hamburger costs $5.50 and each taco costs $2, so the total cost of h hamburgers and t tacos is:

5.5h + 2t

Serenity has a total of $45 to spend, so we can write:

5.5h + 2t ≤ 45

This is the inequality that represents the possible values for the number of hamburgers purchased, h, and the number of tacos purchased, t.

Note that the inequality is less than or equal to 45, since Serenity cannot spend more than $45.

To represent the possible values for the number of hamburgers and tacos purchased, an Inequality can be written as 5.5x + 2y ≤ 45.

To write an inequality to represent the possible values for the number of hamburgers purchased (h) and the number of tacos purchased (t), we need to consider the cost of each item and the total amount Serenity has to spend.

Let's assume Serenity buys x hamburgers and y tacos. Each hamburger costs $5.50, so the total cost of hamburgers purchased would be 5.5x. Each taco costs $2, so the total cost of tacos purchased would be 2y.

The total amount Serenity has to spend is $45. Therefore, the inequality that represents the possible values for h and t is: 5.5x + 2y ≤ 45.

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Answer:

Cone volume formula

To calculate its volume you need to multiply the base area (area of a circle: π * r²) by height and by 1/3: volume = (1/3) * π * r² * h

Step-by-step explanation:

Answer:

The answer is 0.01. We assume you are converting between dollar bill and penny. You can view more details on each measurement unit: Dollar or penny The main non-SI unit for U.S. currency is the dollar. 1 dollar is equal to 100 penny. Note that rounding errors may occur, so always check the results.

Step-by-step explanation:

Answer:

Huh? ---

Yea, there are 100 pennies in a dollar....

The function with the domain is given by f ( x ) = 2x + 3

The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given data ,

Let the function be represented as A

Now , the value of A is

Let the x values be x = { -7 , -1 , 3 , 4 , 7 )

Let the y values be y = { -11, 1 , 9 , 11 , 17 }

Now , the function is given as  

f ( x ) = 2x + 3   be equation (1)

when x = -7

y = 2 ( -7 ) + 3

y = -11

when x = 7

y = 2 ( 7 ) + 3

y = 17

Hence , the function is f ( x ) = 2x + 3

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Answer:

17

Step-by-step explanation:

Answer: She bought 17 books

Step-by-step explanation:

Add $6 to the amount that she paid to find out how much money she would have paid.

45 + 6 = 51  so she would have paid $51  

Now divide 51 by 3 to find out how many books she bought.

51 / 3 = 17  

So because of the discount, she paid $45 for 17 books.

Answer:

Thanks :)

Step-by-step explanation:

Answer:

y>6

Step-by-step explanation:

y>48/8

y>24/4

y>12/2

y>6

Answer:

6

Step-by-step explanation:

divide both side by 8 for y to stand alone then 8 will cancel 8 and 48 divided by 8 = 6

8y\8 > 48/8

y= 6

Answer:

hy the answer is C. a car maintained constant speed

Answer:

c.A car maintained constant speed

Step-by-step explanation:

according to the graph,velociry is always in a straight line over time.

so the velocity is constant

so A car maintaned constant speed

Given:

The figure of a triangle.

The perimeter of the triangle ABC is 31.

To find:

The value of x in the given triangle.

Solution:

Three sides of the triangle ABC are AB, BC, AC are their measures are \(3b-4,2b+1,b+10\) respectively.

The perimeter of the triangle ABC is 31.

\(AB+BC+AC=31\)

\((3b-4)+(2b+1)+(b+10)=31\)

\(6b+7=31\)

Subtract 7 from both sides.

\(6b=31-7\)

\(6b=24\)

\(b=\dfrac{24}{6}\)

\(b=4\)

Now, the measures of the sides are:

\(AB=3b-4\)

\(AB=3(4)-4\)

\(AB=12-4\)

\(AB=8\)

\(BC=2b+1\)

\(BC=2(4)+1\)

\(BC=8+1\)

\(BC=9\)

And,

\(AC=b+10\)

\(AC=4+10\)

\(AC=14\)

Using the law of cosines, we get

\(\cos A=\dfrac{b^2+c^2-a^2}{2bc}\)

\(\cos A=\dfrac{(AC)^2+(AB)^2-(BC)^2}{2(AC)(AB)}\)

\(\cos A=\dfrac{(14)^2+(8)^2-(9)^2}{2(14)(8)}\)

\(\cos A=\dfrac{179}{224}\)

Using calculator, we get

\(\cos A=0.7991\)

\(A=\cos ^{-1}(0.7991)\)

\(x=36.9558^\circ\)

\(x\approx 37.0^\circ\)

Therefore, the value of x is 37.0 degrees.

Answer:

105 cm²

Step-by-step explanation:

Properties of a quadrilateral circumscribed about a circle

Given:

Therefore, the sum of the other pair of opposites is also 21 cm.

So the perimeter = 21 + 21 = 42 cm

\(\implies \sf Area=\dfrac12\cdot42\cdot5=105\:cm^2\)

Looking like trapezoid

area:-

Answer:

3 4/5

Step-by-step explanation:

First lets ask ourselves how many times 5 can go into 19, that would be 3 and we would be left with a remainder of 4.

So next we would put 3 as a whole number and our 4 as a fraction over 5.

That leaves us with the mixed number 3 4/5.

The calculation \((9.04-8.23+21.954+81.0) \times 3.1416\) would have 4 significant figures.



To determine the number of significant figures in a calculation, we follow the rules for significant figures:

1. Addition and subtraction: The result should have the same number of decimal places as the measurement with the fewest decimal places.
2. Multiplication and division: The result should have the same number of significant figures as the measurement with the fewest significant figures.

Let's break down the calculation step by step:
\(9.04-8.23+21.954+81.0\) yields \(104.764\).

Now, multiplying this result by \(3.1416\) gives \(329.5719744\).

The measurement with the fewest significant figures in the calculation is \(3.1416\), which has 5 significant figures.

According to the rule for multiplication and division, the result should have the same number of significant figures as the measurement with the fewest significant figures. Hence, the result, \(329.5719744\), will be rounded to 4 significant figures.

Therefore, the calculation \((9.04-8.23+21.954+81.0) \times 3.1416\) would have 4 significant figures.

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Answer:

6.5%

Step-by-step explanation:

M.P= ₹6,000

Amount excluding VAT= 5,610

discount= x/100

discount= 6000*x/100=60x

equating

6000-60x= 5610

6000-5610=60x

390=60x

390/60=x

6.5=x

therefore, there is a discount of  6.5%

Elspeth can find the circumference by dividing 9.42 centimeters by π, the mathematical constant. she can use this radius value to calculate the circumference of the circle using the formula C = 2πr.

The formula for the circumference of a circle is C = 2πr, where C represents the circumference and r represents the radius.

In this case, Elspeth knows that π times r approximately equals 9.42 centimeters. To find the circumference, she needs to divide 9.42 centimeters by π.

Dividing by π will cancel out the π on the right side of the equation, leaving only the value of the radius r. By dividing 9.42 centimeters by π, Elspeth will obtain the value of the radius.

Then, she can use this radius value to calculate the circumference of the circle using the formula C = 2πr.

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i  think the numbers are the same

Answer:

i think the answer is 354,900.

Step-by-step explanation: