Which fraction is equivalent to -6 -(-9)/8

The minimum length of pipe required to deliver water to points A and B is approximately 20.375 miles.

We are given that a water pumping station is to be built on a river at point P in order to deliver water to points A and B. The design requires that LAPD = /BPC so that the total length of piping that will be needed is a minimum. We need to find this minimum length of pipe.

The given figure is shown below: \(AB = 10 \ miles\)\(BC = 6 \ miles\)\(CP = 12 \ miles\). We are given that \(LAPD = LCPB\).

Now, we need to find the minimum length of pipe required for delivering the water to points A and B.The total length of the pipe, \(L_{total} = LA + AB + BP\)Since \(LAPD = LCPB\), we can say that\(AP^2 + PD^2 = BP^2 + PC^2\).

From the triangle ACP, we can say that\(AC^2 = AP^2 + PC^2\). So, we can substitute AP^2 + PC^2 with AC^2 to get\(AP^2 + PD^2 = BP^2 + AC^2\)Now, we can substitute AP = AC - PC and BP = BC + PC in the above equation to get\((AC - PC)^2 + PD^2 = (BC + PC)^2 + AC^2\).

After solving this equation, we get\(AC = \frac {37}{8}\) and \(PC = \frac {27}{8}\)Now, we can calculate the length of pipe required as follows: \(L_{total} = LA + AB + BP = 10 + 6 + \frac {27}{8} = \boxed{20.375 \ miles}\). Therefore, the minimum length of pipe required to deliver water to points A and B is approximately 20.375 miles.

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Answer:75

Step-by-step explanation:

Answer: 450

Step-by-step explanation:

112+114+226

226+224=450

Step-by-step explanation:

3+2/x=1

(3x+2)/×=1

3x+2=x

2=-2×

x= -1

-260

1) Let's solve this expression step by step

- 82 + (- 146) + (- 32) Removing the Parentheses

-82 -146 -32 Adding them up these negative numbers

-260

2) So, as we can see this expression yields -260

3) And that's the answer.

Answer: I think 53.1

Step-by-step explanation:

The object's temperature after 18.0 minutes is 425.83.

Given that,

An object's temperature cools exponentially after it is removed from a furnace (hot oven).

If its initial temperature is 730°C and it cools at a rate of 2.95% per minute.

We have to determine,

The object's temperature after 18.0 minutes.

According to the question,

The initial temperature is 730°C and it cools at a rate of 2.95% per minute,

The temperature after t minutes is modeled by an exponential function, which has the following format is,

\(T(t) = T(0) . (1-r)^t\)

Where T(0) is the initial temperature, and r is the cooling rate, as a decimal.

Then,

T(0) = 730°c and r = 2.95% = 0.0295

Substitute all the values in the equation,

\(T(t) = T(0) . (1-r)^t\\\\T(18) = 730 \times (1-0.0295)^{18}\)

Therefore,

The object's temperature after 18.0 minutes is,

\(T(t) = T(0) . (1-r)^t\\\\T(18) = 730 \times (1-0.0295)^{18}\\\\ T(18) = 730 \times 0.5833\\\\T (18) = 425.83\)

Hence, The required value of the object's temperature after 18.0 minutes is 425.83.

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Answer:

\(\boxed{x^2 = 16}\)

Step-by-step explanation:

Using Tangent Secant theorem:

(x)² = (2)(2+6)

x² = 2(8)

x² = 16

Answer:

y=-2x+11

Step-by-step explanation:

slope intercept form is y=mx+b m being the slope and b the y-intercept

using the slope you can calculate the y intercept

m=-2

y-intercept(b)=11

The mean of y-values is referred to as \(\bar{y}\). So, option b is the correct choice.

A variable in a set of sample data in statistics is symbolized by the little Latin letter x. If a letter has a horizontal bar above it, it means the variable it is placed over is considered the average or mean.

We would add all of the sample data points, divide by the sample size, and then compute the x-bar, or sample mean. This is given by \(\bar{x}=\frac{x_1+x_2+x_3+\cdots\cdots+x_n}{n}\) where n is referred to as the sample size and \(\bar{x}\) is the sample mean.

Therefore, the central tendency of the data is represented by this \(\bar{x}\) or the x bar. Therefore, the mean of y-values is represented by y bar or \(\bar{y}\).

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Answer:

  61.03°

Step-by-step explanation:

You want the angle opposite the side of length 7 in the triangle with other sides of lengths 4 and 8.

The law of cosines relates the angles of a triangle to the side lengths. For triangle ABC with opposite sides a, b, c, the relation is ...

  c² = a² +b² -2ab·cos(C)

Solving for angle C, we have ...

  cos(C) = (a² +b² -c²)/(2ab)

  C = arccos((a² +b² -c²)/(2ab))

In this triangle, that means ...

  C = arccos((4² +8² -7²)/(2·4·8)) = arccos(31/64)

  C ≈ 61.03°

The angle of interest is about 61.03°.

__

Additional comment

We get the same result from a triangle solver. See the second attachment. (The angle we want is angle B in that attachment.)

<95141404393>

The probability of landing on the dark blue target is 2/5.

Probability is the ratio of required to the total possible outcomes of an event.

P(dark blue ) = 40/100

divide through by 20

P(dark blue ) = 2/5

Therefore, the probability of landing on target is 2/5

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Answer:

-14x² - x + 4

Step-by-step explanation:

(-10x² + 5x - 3) - (4x² + 6x - 7)

= (-10x² + 5x - 3) - (+4x²) - (+6x) - (-7)

= (-10x² + 5x - 3) -4x² -6x +7

= -10x²-4x² +5x-6x -3+7

= -14x²  - x + 4

\(x7 - 2 \: or \: x \leqslant - 3\)

We have the following equation to find the area of a circle sector:

in this case, we have the following information:

using these values on the equation and solving for theta, we get:

therefore, the angle is 2/3 pi. Converting to decimal, we get:

therefore, the angle measures 120 degrees

Answer:

The discount is 36 dollars

The sale price is 44 dollars

Step-by-step explanation:

First find the discount by multiplying the original price by the discount rate

80*45%

Change to decimal form

80*.45

36

The discount is 36 dollars

The sale price is the original price minus the discount

80-36

44

The sale price is 44 dollars

Answer:

3

Step-by-step explanation:

First of all, it's easy to see that the x intersects are 2 and 4, so midpoint is 3.

Answer:

Step-by-step explanation:

The graph οf the equatiοn  V=12πh  is attached belοw and this can be determined by using the fοrmula οf vοlume οf cοne and the slοpe-intercept fοrm οf the line.

Using the equatiοn l=r²+h², the slant height can be calculated in the absence οf a specified value. By applying the fοrmula 13r²h, οne can calculate a cοne's vοlume.

Simply said, a cοne's vοlume is 13 times that οf a cylinder. Because οf this, the vοlume fοrmulas fοr cylinders and cοnes are very similar.

Given :

Fοr cοnes with a radius οf 6 units, the equatiοn V=12h relates the height h οf the cοne, in units, and the vοlume V οf the cοn, in cubic units.

The vοlume οf the cοne is given by the fοrmula:

    V = 1/2πr²h

Nοw, substitute the value οf r in the abοve fοrmula.

      V = 1/3 π ( 6)² h

      V =  12πh

Nοw, cοmpare this equatiοn with a slοpe-intercept fοrm which is given by:

y = mx + c

where m is the slοpe and c is the y-intercept.

Frοm cοmparing the equatiοn, it can be cοncluded that

y = V

x = h

c = 0

m = 12π

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Answer: the answer is the second one

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

The "associative property" can apply to any number of operations. The ones we're usually concerned with are multiplication and addition.

Basically, the associative property says you can regroup elements that have the same operation being performed on them. Effectively, that regrouping lets you perform the sequence of operations in whatever order you may choose.

For multiplication, the associative property can be written:

  (ab)c = a(bc)

This form matches the first of the choices shown:

  3(ab) = (3a)b

__

For addition, the associative property can be written:

  (a+b)+c = a+(b+c)

This form matches the second of the choices shown:

  (3 + a) + b = 3 + (a + b)

__

If you must select one answer, you need to know which associative property you're talking about.

The meer-kitty survey feedback tab has limitations in its data. The survey results must have at least 120 unique responses to be considered useful and aligned with the business objective. The current data, however, only has 40 total responses, with 11 of them coming from one user. This skews the results and makes it difficult to accurately analyze the feedback.

To address these limitations, it is recommended to remove the duplicates, in this case the 11 responses from one user, and focus on the remaining 29 unique responses. This will provide a clearer picture of the survey results and a more accurate representation of the feedback. By doing so, the analysis of the data will be better aligned with the original business objective and provide more valuable insights.

It is important to consider the limitations of the data when conducting any type of analysis, especially when it comes to surveys and feedback. By taking the necessary steps to ensure the data is as accurate and reliable as possible, the results of the analysis will be more meaningful and relevant to the business.

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Answer:

D.) Sheba

Step-by-step explanation:

Divide all their incomes by the number of hours they worked.

Santana:

205.85/23=8.95

$8.95 per hour

Zomi:

370.50/38=9.75

$9.75 per hour

Priya

156.10/14=11.15

$11.15 per hour

Sheba

282.45/21=13.45

$13.45 per hour

Answer:

44

Step-by-step explanation:

\( \sf{\qquad\qquad\huge\underline{{\sf Answer}}} \)

For unorganized data, median is the middle value when the numbers are arranged in ascending order.

Let's proceed ~

In ascending order :

12, 13, 23, 26, 26, 35, 38, 44, 47

So, for given data... median is 26

Let's start!

First, we'll have to arrange the given values in either ascending or descending order.

Here I'm arranging in ascending order to make it easier.

12, 13, 23, 26, 26, 35, 38, 44, 47

Now, we'll have to find the value in the middle.

12, 13, 23, 26, 26, 35, 38, 44, 47

26 is the middle number when we cut off numbers equally from the left and right.

\(\large\boxed{\bold{Median= 26}}\)

Therefore, the median of the given data set is 26

Answer:

5/6 quarts of water

Step-by-step explanation:

2/3 same as 4/6. 4/6 + 1/6 = 5/6

Answer:

9.9924 liters

Step-by-step explanation:

there are 3.785 liters in one gallon

multiply 3.785 liters times 2.64

that comes out to 9.9924 liters

The correct two - way frequency table for the data on High School Students, and the kind of band they want to play at the school dance, is:

                                                     Rap          Rock           Country      Total

Grades 9 - 10                                40              30                55              125

Grades 11 - 12                                60              25                35              120

Total                                              100              55                90             245

Option A is therefore correct.

In a two-way frequency table, there will be totals for both the rows and the columns.

The totals for the rows in this instance are:

Grade 9 - 10 totals :

= 40 + 30 + 55

= 125

Grade 11 - 12 :

= 60 + 25 + 35

= 120

The totals for the columns are:

Rap totals :

= 40 + 60

= 100

Rock :

= 30 + 25

= 55

Country :
= 55 + 35

= 90

Two-way frequency tables allow for us to be able to conclude on the event described by looking at totals from both the columns and the rows. This gives a clearly understanding on preferences and categories.

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Answer:

The answer is 390 × pi.

Step-by-step explanation:

Big cone:

V = 1/3 x pi x r^2 x h

= 1/3 x 3.14 x 9^2 x 15

= 1272.3 cubic inches

Small cone:

V = 1/3 x pi x r^2 x h

= 1/3 x 3.14 x 3^2 x 5

= 47.1 cubic inches  

1272.3 - 47.1 = 1225.2 cubic inches

1272/3.14 ≈ 390

The answer is 390 × pi.

The correct equation is:  5/6 - 1/6 = 4/6

A number line is a visual representation of numbers, ordered from left to right, where each point on the line corresponds to a number. The number line can be used to represent a wide range of numbers, including integers, fractions, decimals, and even negative numbers.

On a basic number line, 0 is located in the center, with positive numbers to the right and negative numbers to the left. The numbers are usually evenly spaced, with tick marks or dots indicating each value. The distance between any two points on the number line represents the difference between the corresponding numbers.

According to question Option D is correct

This is because starting at 5/6 and ending at 1/6 involves moving in the negative direction on the number line. To find the distance between these two points, we need to subtract the smaller number (1/6) from the larger number (5/6).

So, 5/6 - 1/6 = 4/6, which simplifies to 2/3. This means that the distance between 5/6 and 1/6 on the number line is 2/3.

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After answering the provided question, we can state that As a result, 145.62 square feet of glass are required to cover the entire pyramid.

A pyramid is a polygon formed by connecting points known as bases and polygonal vertices. For each hace and vertex, a triangle known as a face is formed. A cone with a polygonal shape. A pyramid with a floor and n pyramids has n+1 vertices, n+1 vertices, and 2n edges. Every pyramid is dual in nature. A pyramid contains three dimensions. A pyramid is made up of a flat tri face and a polygonal base that come together at a single point known as the vertex. A pyramid is formed by connecting the base and peak. The base's edges form triangle faces known as sides that connect to the top.

To determine how much glass is required to cover the entire pyramid, we must first determine the total surface area of the pyramid, including the base.

The formula for calculating the surface area of each triangular face is:

(1/2) x width x height

27.31 square feet = (1/2) x 7 feet x 7.79 feet

24 square feet = (1/2) x 6 feet x 8 feet

Simply multiply the length and width to find the area of the rectangular base:

7 feet by 6 feet equals 42 square feet

As a result, the total surface area of the pyramid is:

145.62 square feet = 2 (27.31 square feet) + 2 (24 square feet) + 42 square feet

As a result, 145.62 square feet of glass are required to cover the entire pyramid.

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Answer: 102.53

Step-by-step explanation:  I calculated all the numbers you gave me and then added them to get 102.53

The volume of the composite figure is 6,330.24 in^3

We know that the volume of half a sphere of radius R is:

V = (2/3)*pi*R^3

Here we know that pi = 3.14 and R = 12 inches, then the volume is:

V = (2/3)*3.14*(12 in)^3 = 3,617.28 in^3

And the volume of a cone of height H and radius R is:

v = (1/3)*pi*R^2*H

So here the volume is:

v = (1/3)*3.14*(12in)^2*18in = 2,712.96 in^3

Then the total volume is:

3,617.28 in^3 +  2,712.96 in^3 = 6,330.24 in^3

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