A 12-yard-long pipe is cut into three equal sections. Two of the resulting sections are cut in half, and one of the halves is cut into thirds. If two pipe sections are chosen and combined end to end, what is the difference between the longest possible and shortest possible combinations? (Note: 1 yard = 3 feet)

Answer:

  a. x = 15

  b. scalene

Step-by-step explanation:

You want to know the value of x and the classification of the triangle whose circumscribing arcs are (8x-10)°, (6x)°, and (10x +10)°.

The sum of arcs around the circle is 360°.

  (8x -10)° +(6x)° +(10x +10)° = 360°

  24x = 360 . . . . . . . . . . . divide by °, simplify

  x = 15 . . . . . . . . . . . . divide by 24

The arc measures around the circle are ...

  (8x -10)° = 110°

  (6x)° = 90°

  (10x +10)° = 160°

Each arc is double the measure of the inscribed angle that intercepts it. The different arc measures mean the angle measures are different, so the triangle is scalene.

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Answer:

the answer is y=3 I hope I helped

Answer:

\(x = 3\)

Step-by-step explanation:

\(y + 3 = - y + 9\)

\(y + y = 9 - 3\)

\(2y = 6\)

\( \frac{2y}{2} = \frac{6}{2} \)

\(x = 3\)

The calculated value of x in the equation (x + 1) (x - 5) = 16 is 7

From the question, we have the following parameters that can be used in our computation:

(x + 1) (x - 5) = 16

The above expression is the product of two factors

(x + 1) and (x - 5)

And the result is 16

Express 16 as 8 * 2

So, we have

(x + 1) (x - 5) = 8 * 2

By comparison, we have

x + 1 = 8 and x - 5 = 2

When evaluated, we have

x = 7 and x = 7

This means that the value of x in the equation is 7

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The angle PMR in the quadrilateral is 32 degrees.

The angle PMR can be found as follows;

The line AP is an angle bisector of angle RPM. Therefore, the following relationships are formed.

∠RPM ≅ ∠WPM

Hence,

∠RPM ≅ ∠WPM = 58 degrees

Therefore,

∠WPM = 58 degrees

∠PWM = 90 degrees

Let's find ∠PMR as follows

∠PMR = 180 - 90 - 58

∠PMR = 90 - 58

∠PMR  = 32 degrees

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The required equation that represents the graph is j(x) =  (-x + 4)¹/². Option D is correct.

A parabola is a cross-section cut out of the cone and represented by an equation x = y².

here,
The given graph is of the left parabola,
-x = y²
When we translate the above expression 4 units right we get the graph,
So
-x + 4 = y²

put y = j(x)

-x + 4 = j(x)²
j(x) = [-x + 4]¹/²

Thus, the required equation that represents the graph is j(x) =  (-x + 4)¹/². Option D is correct.

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Answer:

12x/6

Step-by-step explanation:

6 is being divided into 12x so you ask yourself what is 12x divided by 6 and that is your algebraic expression.

Answer:

2775

Step-by-step explanation:

Well of course since the problem is not restricted, the smallest number is 3. I'm almost sure that's not what you mean. The next smallest number is 2775. I found that using a  programing language. I'm sure as well that does not satisfy the question, either.

I think you are intended to do this by finding the lowest common multiple and adding 3.

21: 3 * 7

28: 2 * 2 * 7

36: 2 * 2 * 3 * 3

44: 2 * 2 * 11

LCM = 2 * 2 * 3 * 3 * 7 * 11 = 2772

Now add 3 and the number you want is 2775

Complete question :

The GPAs of all students enrolled at a large university have an approximately normal distribution with a mean of 3.02 and a standard deviation of .29.Find the probability that the mean GPA of a random sample of 20 students selected from this university is 3.10 or higher.

Answer:

0.10868

Step-by-step explanation:

Given that :

Mean (m) = 3.02

Standard deviation (s) = 0.29

Sample size (n) = 20

Probability of 3.10 GPA or higher

P(x ≥ 3.10)

Applying the relation to obtain the standardized score (Z) :

Z = (x - m) / s /√n

Z = (3.10 - 3.02) / 0.29 / √20

Z = 0.08 / 0.0648459

Z = 1.2336940

p(Z ≥ 1.2336) = 0.10868 ( Z probability calculator)

Answer:

It would be 27.328  but since it is money, we have to leave the 8 out.

So the answer is 27.32

Step-by-step explanation:

Answer:

$27.33

Step-by-step explanation:

You multiply 12.2 and 2.24 and the answer is 27.328. You then round it to the nearest tenth which is 27.33.

Answer:

The answer to the question provided is 10.

Option D, which is the closest choice to 933.33, is 930. As a result, 930 fraction acres is a plausible estimate of the amount of acres on which Mr. Bailey will plant soybeans

A fraction is a number that represents a portion of a whole or a ratio between two quantities in mathematics. It is represented as a top number (numerator) over a bottom number (denominator) divided by a horizontal line, also known as a vinculum. The fraction 3/4, for example, represents three-quarters of a whole that has been divided into four equal parts. Proper fractions, improper fractions, and mixed numbers are all ways to express a fraction. A suitable fraction is one in which the numerator is less than the denominator, for example, 2/5.

Mr. Bailey intends to plant soybeans on 4 of every 9 acres, which equates to (4/9) of the total acres he farms.

If he intends to cultivate 2,100 acres, the number of acres planted with soybeans is:

(4/9) x 2,100 = 933.33

We must round this amount to the next whole number because he cannot plant soybeans on a fraction of an acre.

Option D, which is the closest choice to 933.33, is 930. As a result, 930 acres is a plausible estimate of the amount of acres on which Mr. Bailey will plant soybeans.

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The northerly component of the wind blowing at 15 m/s from the South East is approximately 10.605 m/s.

To determine the northerly component of a wind blowing from the South East, we need to consider the direction from which the wind is coming and its magnitude.

A wind blowing from the South East means it is coming from the South East direction towards the opposite direction, which is the North West. Since the wind is coming from the South East, we can say it has a southeasterly direction.

To find the northerly component, we need to break down the wind vector into its north and east components. The northerly component represents the part of the wind that is directed towards the north.

If we assume that the wind is blowing at an angle of 45 degrees with respect to the North, we can use trigonometry to find the components. Since the wind is blowing at 15 m/s, we can consider it as the hypotenuse of a right triangle.

The northerly component can be found using the sine of the angle:

Northerly Component = Wind Speed * sin(Angle)

Northerly Component = 15 m/s * sin(45°)

Using the value of sin(45°) (which is √2 / 2 ≈ 0.707), we can calculate the northerly component:

Northerly Component ≈ 15 m/s * 0.707

Northerly Component ≈ 10.605 m/s

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Answer:

A

Step-by-step explanation:

The area of the triangle with angle B = 128°, side a = 86, and side c = 37 is approximately 2302.7 square units.

To find the area of a triangle when one angle and two sides are given, we can use the formula for the area of a triangle:

Area = (1/2) * a * b * sin(C),

where a and b are the lengths of the two sides adjacent to the given angle C.

In this case, we have angle B = 128°, side a = 86, and side c = 37. To find side b, we can use the law of cosines:

c² = a² + b² - 2ab * cos(C),

where C is the angle opposite side c. Rearranging the formula, we have:

b² = a² + c² - 2ac * cos(C),

b² = 86² + 37² - 2 * 86 * 37 * cos(128°).

By substituting the given values and calculating, we find b ≈ 63.8.

Now, we can calculate the area using the formula:

Area = (1/2) * a * b * sin(C),

Area = (1/2) * 86 * 63.8 * sin(128°).

By substituting the values and calculating, we find the area of the triangle to be approximately 2302.7 square units.

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Answer:

Step-by-step explanation:

Bro I need help with ti too

Part A: Daiane was known to have sold 5 boxes.

Part B: Manuel as known to have sold  sold 4 boxes.

Part C: Daiane sold a total of =  $40 while  Manuel sold a total of $40.

From the question, take the number of boxes Daiane sold as 'x'.

Note that she sells each box for $8, Hence the total dollar amount she sold is  8x.

Also take the number of boxes Manuel sold is 'y' because he sells each box for $10, so the total dollar amount he sold is = 10y.

Since  the total dollar amount Diane sold is equal to the total dollar amount Manuel sold. the equation will bw:

8x = 10y

Then one can  simplify the equation, by  dividing both sides by the greatest common divisor (GCD) of 8 and 10, that is 2:

(8x)/2 = (10y)/2

4x = 5y

So the possible solution is that

x = 5

y = 4.

So one can say that:

Part A: Daiane sold 5 boxes.

Part B: Manuel sold 4 boxes.

Part C: Daiane sold a total of :

= 8 x  5

= $40

Manuel sold a total of :

= 10 x  4

= $40

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Diane  sells boxes of cookies for $8 each. Manuel sells boxes of cookies for $10 each. Each of them sold the same dollar amount. It was the smallest dollar amount for which this was possible. Answer the following questions.

Part A : How many boxes did Daiane sell?

Part B : How many boxes did Manuel Sell?

Part C : What was the dollar amount each of them sold?

Answer:

4x < -8

you will need to isolate the variable to be by itself by performing the inverse property of multiplication which is division;

/4      /4(divide by 4 from both sides)

x < -2

The ladder will reach a Height of approximately 43.46 meters on the building.

To find out how high on the building the ladder will reach, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the ladder forms a right triangle with the ground and the building. The base of the ladder is 7 meters, the height of the building is what we need to find, and the length of the ladder is given as 44 meters.

Using the Pythagorean theorem, we can set up the equation:

(Height of the building)^2 + 7^2 = 44^2

Simplifying the equation, we have:

(Height of the building)^2 + 49 = 1936

Subtracting 49 from both sides, we get:

(Height of the building)^2 = 1887

To find the height of the building, we take the square root of both sides:

Height of the building = √1887

Calculating the square root of 1887, we find that the height of the building is approximately 43.46 meters.

Therefore, the ladder will reach a height of approximately 43.46 meters on the building.

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Answer:

I believe the answer to be c 75°

Step-by-step explanation:

a 4 sided shape is 360 total degrees

The joint costs allocated to Product B is $240,000.

We must allocate joint costs based on the relative physical quantities produced by each product.

The total physical quantity produced by both products is:

= Quantity of A + Quantity of B

= 10,000 + 40,000

= 50,000 pounds

We will calculate the proportion of physical quantity produced by product A:

= Quantity of B / Total physical quantity

= 40,000 / 50,000

= 0.8

The amount of joint costs allocated to Product B is will be

= Total joint costs x Proportion of

= $300,000 x 0.8

= $240,000.

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Answer:

D. \(g(x) = x^{2} + 3\)

Step-by-step explanation:

Since the upscaling in the y-axis is not the main focus of this equation (being g(x) and not g(y)), the change is not applied to the x-axis. Hence, we can rule out (x-3)^2 and (x+3)^2 since they apply changes to the x-axis.

Finally, since this is an upscaling of the y-value on the y-axis, the answer is x^2 + 3 and not x^2 - 3.

Hope this helped!

Answer: D

Step-by-step explanation: Apx

Answer:

4.28%

Step-by-step explanation:

We Know

Last year you earned $72,400

This year you earned $75,500

What was the rate of change in your earnings since last year?

We Take

(75,500 ÷ 72,400) x 100 ≈ 104.28%

Then We Take

104.28 - 100 = 4.28%

So, the earning increased by about 4.28%.

The frequency of red color is maximum then the frequency of green color is maximum so their favorite color either green or red. So according to answer the option b is correct.

This information was taken from a sample 200 of people who chose a favorite color from the four colors listed in the table.

The relative frequency table is:

Favorite Color                  Relative Frequency             Frequency

     Blue                                    0.22                               0.22 × 200 = 44

     Green                                 0.30                               0.30 × 200 = 60

     Yellow                                 0.12                               0.12 × 200 = 24

     Red                                      0.35                              0.35 × 200 = 70

The frequency of red color is maximum so their favorite color is Red. Then the frequency of green color is maximum so their favorite color might be green.

So according to the option b is correct.

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The complete question is:

Use the relative frequency distribution table below for the following questions. This information was taken from a sample 200 of people who chose a favorite color from the four colors listed in the table.

Favorite Color                             Relative Frequency

     Blue                                                  0.22

     Green                                               0.30

     Yellow                                              0.12

     Red                                                   0.35

Someone selected at random from the sample most likely chose which color as their favorite color?

Either blue or red

Either green or red

Neither yellow nor red

Neither blue nor green

Answer:

a) .38 × 2,450 = 931 people buy the local newspaper.

b) 2,450 - 931 = 1,519 people do not buy the local newspaper.

Answer:

D

Step-by-step explanation:

\((x_{1},y_{1}) = (2 , 2)\\\\ (x_{2},y_{2}) = (3 , 5)\\\\\\Midpoint=\left(\dfrac{x_{1}+y_{1}}{2},\dfrac{x_{2}+y_{2}}{2} \right)\\\\\\=\left(\dfrac{3+2}{2},\dfrac{5+2}{2} \right)\\\\\\= \left(\dfrac{5}{2},\dfrac{7}{2} \right)\)

Answer:

\(6,10\)

Step-by-step explanation:

Method 1:

\(\mathrm{Let\ two\ numbers\ be\ x\ and\ y\ such\ that:}\\\mathrm{x:y=3:5\ \ \ \ and\ \ \ \ x+y=16}\\\mathrm{or,\ \frac{x}{y}=\frac{3}{5}}\\\\\mathrm{or,\ 5x=3y..........(1)}\\\mathrm{Also\ we\ have}\\\mathrm{x+y=16}\\\mathrm{or,\ 5(x+y)=5(16)}\\\mathrm{or,\ 5x+5y=80}\\\mathrm{or,\ 3y+5y=80\ [From\ equation\ 1]}\\\mathrm{or,\ 8y=80}\\\mathrm{or,\ y=10}\\\mathrm{From\ equation\ 1,}\\\mathrm{5x=3y}\\\mathrm{or,\ 5x=3(10)=30}\\\mathrm{\therefore x=6}\)

\(\mathrm{So,\ the\ two\ numbers\ are\ 6\ and\ 10.}\)

Alternative method 1:

\(\mathrm{Let\ the\ two\ numbers\ be\ x\ and\ 16-x.}\\\mathrm{Then,\ we\ have}\\\mathrm{x:(16-x)=3:5}\\\\\mathrm{or,\ \frac{x}{16-x}=\frac{3}{5}}\\\\\mathrm{or,\ 5x=3(16-x)=48-3x}\\\mathrm{or,\ 5x+3x=48}\\\mathrm{or,\ 8x=48}\\\mathrm{\therefore x=6}\\\mathrm{So,\ the\ other\ number=16-x=16-6=10}\)

\(\mathrm{So,\ the\ two\ numbers\ are\ 6\ and\ 10.}\)

Alternative method 2:

\(\mathrm{Let\ the\ two\ numbers\ be\ 3x\ and\ 5x.}\\\mathrm{Then,}\\\mathrm{3x+5x=16}\\\mathrm{or,\ 8x=16}\\\mathrm{or,\ x=2}\\\mathrm{So,\ first\ number=3x=3(2)=6}\\\mathrm{Second\ number=5x=5(2)=10}\)

\(\mathrm{So,\ the\ two\ numbers\ are\ 6\ and\ 10.}\)

To find slope use y2 - y1 / x2 - x1. I would suggest doing this twice just to make sure.

For this one, I will use the first three points. (2,2) (4,5) (6,8)

8 - 5 / 6 - 4 = 3/2

5 - 2 / 4 - 2 = 3/2 = your slope

Now, since there is no (0,y) given, we need to find the y-intercept using . . . You guessed it! Point - slope form! I will use the point (2,2)

y-y₁=m(x-x₁)

y - 2 = 3/2 (x - 2)

y - 2 = 3/2x -3

  +2            +2

Y = 3/2x -1

-1 = your y-intercept form.

Answer:

39*3.25 + x*5.75 = 520

126.75 + 5.75x = 520

5.75x = 393.25

x = 68.39

x ≈ 69