here are 5 airplanes ready to depart. runway a and runway d are available. how many ways can 2 planes be assigned to runways without using the same runway?

Answer:

6

Step-by-step explanation:

3 3/4 = 3.75

5/8 = 0.625

3.75 / 0.625= 6

\((\stackrel{x_1}{1}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{-8}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-8}-\stackrel{y1}{(-6)}}}{\underset{run} {\underset{x_2}{-2}-\underset{x_1}{1}}}\implies \cfrac{-8+6}{-3}\implies \cfrac{-2}{-3}\cfrac{2}{3}\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-6)}=\stackrel{m}{\cfrac{2}{3}}(x-\stackrel{x_1}{1})\implies y+6=\cfrac{2}{3}x-\cfrac{2}{3}\)

hmmm now let's put that in standard form, that is

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

\(\stackrel{\textit{multiplying both sides by }\stackrel{LCD}{3}}{3(y+6)~~ = ~~3\left( \cfrac{2}{3}x-\cfrac{2}{3} \right)}\implies 3y+18~~ = ~~2x-2 \\\\\\ 3y=2x-20\implies -2x+3y=-20\implies 2x-3y=20\)

Answer:

Option a.

Step-by-step explanation:

Two figures are similar if they have the same shape, but maybe different sizes, so if we have a triangle, and we dilate/contract it with a scale factor K, the original triangle and the dilated/contracted one will be similar.

Two figures are congruent if they have the same shape and size. For example, transformations that do not change the size will make congruent figures, those transformations are reflections, rotations and translations.

Now we need to find a sequence of transformations that would result in the two triangles being similar but no congruent, then we need to find the sequence of transformations that has a dilation/contraction in it.

The only sequence that has a dilation is the first one:

a) Rotation 90° centered about the origin, followed by a dilation of scale factor 3 centered about the origin.

Then option a is the correct one.

If there will never be more than 500 million people in the United States before 2050 A.D., providing each person with a personal zip code would require a minimum of 9 digits.

The current format of a United States zip code consists of five digits, and additional four-digit extensions are used to further specify geographic locations within a given zip code. Considering a population of 500 million, we need to ensure that each person has a unique zip code. With five digits, we can represent 100,000 unique combinations \((10^5)\). However, this is insufficient for a population of 500 million.

To accommodate this population, we need at least six digits to represent one million unique combinations \((10^6)\). Adding four-digit extensions would then provide an additional 10,000 unique combinations within each six-digit code. With nine digits, we can represent 1 trillion unique combinations \((10^9)\), which is more than enough to provide every person in the United States with a personal zip code, even if the population were to reach 500 million. Therefore, a minimum of nine digits would be necessary to provide each person with a unique zip code.

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Answer:

second one just se that cuse I think it is it a fuse fore me

Answer:

rise over run

Step-by-step explanation:

answer

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. ... Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line.

The value of x when y-2 is x = -0.54.

Solving 2y (²-x) dy=dx` for x,

2y (²-x) dy=dx` or `dx/dy = 2y/(x²-y²)

Now, integrate with respect to y:

∫dx = ∫2y/(x²-y²) dy``x = -ln|y-√2| + C_1

Using the initial condition, x(0) = 1, we get:

1 = -ln|-√2| + C_1``C_1 = ln|-√2| + 1

Hence, the value of C_1 is C_1 = ln|-√2| + 1.

Now,

x = -ln|y-√2| + ln|-√2| + 1``x = ln|-√2| - ln|y-√2| + 1

We need to find x when y=2.

So, putting the value of y=2, we get:

x = ln|-√2| - ln|2-√2| + 1

Now, evaluate the value of x.

x = ln|-√2| - ln|2-√2| + 1

On evaluating the above expression, we get:

x = -0.54

Therefore, the value of x when y-2 is x = -0.54.

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Answer:

No, they are not equivalent ratios.

Step-by-step explanation:

The denominator of 14/25 is 25, which is 5 times 5.

If you multiply the numerator and denominator of 3/5 by 5, you get 15/25 which does not equal 14/25

Factoring polynomials is breaking them down to the products of other smaller polynomials. Identifying the greatest common divisor (GCF) is an important first step because it will reduce the number of factors in each term and thus make factoring easier. In addition to polynomials, it can be factored by decomposition of the intermediate term or by difference of squares. Then, the Zero Product Property can be applied to solve the equation.

Use the sum-product pattern.

Extract the common factors.

Rewrite factored

Answer:

(x+2)(x+8)

Step-by-step explanation:

two numbers that multiply to 16 and add up to 10 is 2 and 8. You just plug both numbers in this factored form (x+ n1)(x+n2). if you chech the answer by multiplying the binomials, you will find out that the answer is the original question (x^3 +10x+16).

To write linear density in Wileyplus, first identify the mass of the linear object, as well as the length of the linear object. Then, divide the mass by the length to calculate the linear density.

To write linear density in WileyPlus, you can use the following steps:

1. First, open the WileyPlus platform and navigate to the assignment or problem you are working on.

2. Next, identify the linear density equation you need to use. The most common equation for linear density is p = m/L, where p is the linear density, m is the mass, and L is the length.

3. Once you have identified the equation, input the values for the mass and length into the equation. For example, if the mass is 10 grams and the length is 2 meters, the equation would be p = 10/2.

4. Solve the equation to find the linear density. In this example, the linear density would be 5 grams per meter.

5. Finally, input the linear density into the appropriate field in WileyPlus. This may be a text box, a drop-down menu, or another type of input field.

By following these steps, you can easily write linear density in WileyPlus. Remember to always double-check your work and make sure that your answer is accurate and complete before submitting it.

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f(n)=5^n

f(4)=?

soln...

just put the value n=4

f(4)=5^4

=625.......

Hello!

surface area

= 2(6*2) + 2(4*2) + 4*6

= 2*12 + 2*8 + 24

= 24 + 16 + 24

= 64 square inches

56/120

Step-by-step explanation:

The body masses of the two children in terms of their father's body mass, x, are:

First child's body mass = 5x/6 kg

Second child's body mass = 4x/5 kg

To express the body mass of the man's two children in terms of their father's body mass, we can use the given ratios.

Let the body mass of the man be x kg.

The first child's body mass is five-sixths of their father's body mass:

Body mass of the first child = (5/6) * x

= 5x/6 kg.

The second child's body mass is four-fifths of their father's body mass:

Body mass of the second child = (4/5) * x

= 4x/5 kg.

Therefore, the body masses of the two children in terms of their father's body mass, x, are:

First child's body mass = 5x/6 kg

Second child's body mass = 4x/5 kg

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The sequence is a geometric sequence with a common ratio of 7. Since, the common ratio is greater than 1, the sequence diverges.

A convergent series is a series whose partial sums tend to a specific number, also called a limit. A divergent series is a series whose partial sums, by contrast, don't approach a limit. Divergent series typically go to ∞, go to −∞, or don't approach one specific number.

The given sequence is 1/117659, 1/16807, 1/2401...

Here, common ratio is

1/16807 ÷ 1/117659

= 1/16807 × 117659/1

= 117659/16807

= 7

Now, 1/2401 ÷ 1/16807

= 1/2401 × 16807/1

= 16807/2401

= 7

Hence, the sequence is a geometric sequence with a common ratio of 7. Since, the common ratio is greater than 1, the sequence diverges.

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Answer:

\( \large{ \boxed{\tt{2 {x}^{3}y + 7 {y}^{2} x - 3 {x}^{2} - 12y}}}\)

- All you gotta do is writing the polynomial in the descending order of the power of the variable.

---- HappY LearninG <3 -------

Plane:

           a flat surface that extends infinitely and has no depth, it has length and width

Perpendicular Lines:

           two lines that intersect at angles 90°

Parallel Lines:

           two lines that lie within the same plane and never intersect

Circle:

           a set of all points in a plane that are a given distance from a point

Angle:

           a figure consisting of two rays with a common endpoint

The labor hours required for the eighth satellite are calculated to be 51,200 based on a learning curve value of 0.5120 and an expected improvement curve of 80%.

The learning curve concept suggests that as the cumulative production doubles, the labor hours required to produce each unit decrease by a certain percentage. In this case, the learning curve value for the eighth unit is given as 0.5120, which means that the labor hours needed for the eighth satellite is 51.20% of the labor hours required for the first unit.

To calculate the actual number of labor hours, we multiply the learning curve value by the total labor hours required for the first unit. Given that the total labor hours for the first unit is 100,000, we can calculate the labor hours for the eighth satellite as follows: 0.5120 * 100,000 = 51,200.

Therefore, based on the given learning curve value and the expected improvement curve of 80%, the number of labor hours for the eighth satellite is determined to be 51,200.

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No, rectangle DABC is not the result of a dilation of rectangle HEFG with a center of dilation at the origin.

Dilation is a geometrical transformation that changes the size of a shape or figure. It is one of the four basic transformations of geometry alongside translation, rotation, and reflection. Dilation involves resizing a shape by a scale factor and keeping its overall shape intact. The scale factor is the ratio of the size of the image to the size of the original figure.

Dilation involves a scaling of a shape, where each point on the shape is moved away from or closer to the center of dilation, proportional to its distance from the center. In this case, the angles of rectangle DABC are different from the angles of rectangle HEFG, so it is not the result of a dilation. The angles of rectangle HEFG are ∠2, ∠33, ∠EDC, whereas the angles of rectangle DABC are ∠ADB, ∠BDC, and ∠CDB.

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Answer:

18

Step-by-step explanation:

There is two pints for every quart so multiply 9*2=18

Answer:

If its to the left the answer is 1 and if its to the right the answer is 10 i think

Step-by-step explanation:

sorry if its wrong

Given:

The circle graph shows how Ann's family budgets a total of $91,000 for the year.

Required:

To find the percentage of utilities, food and transportation.

Explanation:

The percentage of utilities is:

The percentage of food is :

The percentage of transportation is:

Final Answer:

Using a quadratic function, it is found that:

a) The coordinates of the second x-intercept are: (50,0).

b) The vertex shows the maximum flight of the projectile.

c) The coordinates of the vertex are (25, 62).

3) The graph of the equation y = -0.0992(x² - 50x) is given at the end of the answer.

A quadratic function has two x-intercepts, x' and x'', and is defined as follows:

y = a(x - x')(x - x'').

The intercepts are given as follows:

The vertex is found as follows:

Hence the coordinates are: (25, 62).

The equation can be defined as follows:

y = ax(x - 50)

y = a(x² - 50x).

When x = 25, y = 62, hence the leading coefficient is found as follows:

62 = a(25² - 50(25))

-625a = 62

a = -62/625

a = -0.0992.

Hence the equation is:

y = -0.0992(x² - 50x).

The domain of the function is between the roots, hence 0 ≤ x ≤ 50, and the graph is sketched at the end of the answer.

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Answer:

8x+36

Step-by-step explanation:

distribute the -4

-2x times -4 + -9 times -4

8x+36

Answer:

\(64x^2+648x-124\)

if your question is

\(\left(-2x-9\right)\left(-4\right)\cdot \:8x-36-8x+368x+36-88-36\)

In 2016,  the probability that a randomly selected UC undergrad had experienced both food insecurity and homelessness at some point in the past 12 months is 0.0385

Since form the graph, we know that 77% experienced homelessness and

9% Food Insecurity

If the total sample is 100%

Then the the probability that a randomly selected UC undergrad had experienced both food insecurity and homelessness at some point in the past 12 months is:

0.05 x 0.77 = 0.0385

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Full Question:

See attached image.

In 2016, what was the probability that a randomly selected UC undergrad had experienced both food insecurity and homelessness at some point in the past 12 months?

Answer:

x = 16

Step-by-step explanation:

(b)

Since the triangles are similar then the ratio of corresponding sides are equal, that is

\(\frac{CB}{DE}\) = \(\frac{AC}{AD}\) , substitute values

\(\frac{x}{20}\) = \(\frac{8}{10}\) ( cross- multiply )

10x = 160 ( divide both sides by 10 )

x = 16

Answer:

1hr = $9

7hrs = (9×7)

=$63

Step-by-step explanation:

HOPE THAT THIS IS HELPFUL.

HAVE A GREAT DAY.