The altitude of an airplane is represented by the equation shown below, where Y represents the altitude, in feet, of the airplane and x represents the number of minutes the airplane has been descending:


Y = 1025x + 24,600



Part A: Create a table for the values when x = 0, 5, 8, 10, 30.

Include worked-out equations used to identify the values within the table.

Part B: Identify the altitude after 5 minutes and after 30 minutes. Use 1-2 sentences to explain the altitude at these two times and describe what is happening to the airplane at these time intervals.

Answer: 61 1/10

Step-by-step explanation:

9 2/5 x 6 1/2

Answer:

20.2%

Step-by-step explanation:

he relative difference between two values can be calculated using the formula:

Relative Difference = (|V1 - V2| / ((V1 + V2) / 2)) * 100%

where V1 is the first value and V2 is the second value.

For the U.S. per capita consumption of beef, we have V1 = 67.8 pounds in 2000 and V2 = 55.4 pounds in 2016. Plugging these values into the formula, we get:

Relative Difference = (|67.8 - 55.4| / ((67.8 + 55.4) / 2)) * 100%

Relative Difference = (12.4 / 61.6) * 100%

Relative Difference = 0.202 * 100%

Relative Difference = 20.2%

So the relative difference between the U.S. per capita consumption of beef in 2000 and 2016 is 20.2%.

The linear function giving the amount remaining after buying x cups of coffee is given as follows:

A(x) = -3x + 15.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

Each cup of coffee costs $3, hence the slope m is given as follows:

m = -3.

(for each cup purchased, the balance decays by $3).

Hence:

A(x) = -3x + b.

Buying 4 cups of coffee, the balance is of $3, hence the intercept b is obtained as follows:

3 = -3(4) + b

b = 15.

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Answer:

Step-by-step explanation:

Let's call the length of each shorter piece of the first pipe x. Then the total length of the first pipe would be 5x + 27 cm.

Similarly, the length of each shorter piece of the second pipe would be x and the total length of the second pipe would be 11x + 15 cm.

Since both pipes were cut into the same length pieces, we can set the two equations equal to each other:

5x + 27 = 11x + 15

Solving for x, we can find the length of each shorter piece:

6x = -12

x = -2

This means that each shorter piece of both pipes was -2 cm long, which is not physically possible. So, this solution is not valid. This means that the problem is underdetermined and that we cannot determine the length of each piece.

Answerk bzijnjlngljntgojengojnetgihnrtgkte4wg

Based on the information provided, the storage space that will be required for 75 is 1,687 cubic feet in total.

To begin, let's determine the storage space for a single crate and to do this, let's calculate the volume:

Volume: Lenght x height x width

Volume: 3 x 2.5 x 3 = 22.5 cubic feet

Now, let's calculate the space for 75 crates:

volume of one crate x 75 crates

22.5 x 75 = 1,687 cubic feet

Based on this, it can be concluded that 75 crates will occupy 1,687 cubic feet.

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The greatest whole number that divides both 372 and 324 without a remainder is 4.

To find the greatest whole number that divides both 372 and 324 without a remainder, we can use the concept of the greatest common divisor (GCD).

One method to find the GCD is to factor each number into its prime factors and then find the product of the common prime factors.

372 can be factorized as 2 * 186, and 324 can be factorized as [tex]2^2 * 3^4[/tex]

The greatest common divisor is [tex]2^2[/tex], which is equal to 4.

So, the greatest whole number that divides both 372 and 324 without a remainder is 4. This means that 4 is the largest number that can divide both 372 and 324 evenly, leaving no remainder.

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Answer:

Below

Step-by-step explanation:

The y-axis intercept occurs when x = 0

  so the first one is y = 21    ( this is the value when x = 0 from table)

the second one shows every 4 increase causes a 3 decrease in y

   so every 4 DECREASE in x causes a +3 INCREASE in y

     decrease x = 4 to   x = 0     increase y = 6 to y = 9

The time taken to complete the work when Ted and Jimmy work together is found using the unitary method and it is 7.7 hours.

What is the unitary method?

The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, and then multiplying that value to determine the required value.

Let W be the total work to be done, which is installing a new deck.

Given Ted alone can complete the work W  in 15 hours.

Using unitary method,

So in one hour, work done by Ted = W/15

Also given Jimmy alone can complete the work W in 16 hours.

So in one hour, work done by Jimmy = W/16

Using unitary method,

In one hour the work done by Jimmy and Ted together = W/15 + W/16 = 31W/240

ie 31W/240 = 1 hour

 So W = 240/31 = 7.7 hours

Therefore the time taken to complete the work when Ted and Jimmy work together is found using the unitary method and it is 7.7 hours.

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Answer:

900

Step-by-step explanation:

5% of 18,000

He earns $184 in commission yesterday on sold 5 watches for $60 each and 4 watches for $40 each.

A sales commission is a sum of money paid to an employee upon completion of a task, usually selling a certain amount of goods or services. Employers sometimes use sales commissions as incentives to increase worker productivity. A commission may be paid in addition to a salary or instead of a salary.

A salesman earns a commission 40%

He sold yesterday 5 watches for $60 each

and, 4 watches for $40 each.

We have to find the how much he earn commission?

Now, According to the question:

Price of 5 watches = 60.00 × 5 = $300

4 watches = $40.00 each

Price of 4 watches = 40.00 × 4 = $160

Total sales made = 300 + 160 = $460

His commission is 40% of the sales = 40% × 460

                                                       = 0.40 × 460 = $184

Hence, He earns $184 in commission.

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The solution is, the situation can be modeled as y = 52 - 8x.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

Hiro painted his room. After 3 hours of painting at a rate of 8 square meters per hour, he had 28 square meters left to paint.

So, the total area to be painted is (28 + 3 × 8) = 52 square meters.

Let y represent the area (in square meters) left to paint after x hours of painting then the situation can be modeled as

y = 52 - 8x ................ (1) (Answer)

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The probability that randomly selected mechanical component weighs: more than 11.5 lbf is 0.0099, less than 8.7 lbf is 0.3208,  less than 5.0 lbf is 0.0228, between 6.2 lbf and 7.0 lbf is 0.1314, between 10.3 lbf and 14.0 lbf is 0.0436, between 6.8 lbf and 8.9 lbf is 0.3464.

We can use the standard normal distribution and z-scores to answer these questions:

P(X > 11.5) = P(Z > (11.5 - 8) / 1.5) = P(Z > 2.33) = 0.0099

Therefore, the probability that a randomly selected mechanical component weighs more than 11.5 lbf is 0.0099, or about 1%.

P(X < 8.7) = P(Z < (8.7 - 8) / 1.5) = P(Z < 0.47) = 0.3208

Therefore, the probability that a randomly selected mechanical component weighs less than 8.7 lbf is 0.3208, or about 32%.

P(X < 5.0) = P(Z < (5 - 8) / 1.5) = P(Z < -2) = 0.0228

Therefore, the probability that a randomly selected mechanical component weighs less than 5.0 lbf is 0.0228, or about 2%.

P(6.2 < X < 7.0) = P((6.2 - 8) / 1.5 < Z < (7 - 8) / 1.5) = P(-1.2 < Z < -0.67) = 0.1314

Therefore, the probability that a randomly selected mechanical component weighs between 6.2 lbf and 7.0 lbf is 0.1314, or about 13%.

P(10.3 < X < 14.0) = P((10.3 - 8) / 1.5 < Z < (14 - 8) / 1.5) = P(1.53 < Z < 2.67) = 0.0436

Therefore, the probability that a randomly selected mechanical component weighs between 10.3 lbf and 14.0 lbf is 0.0436, or about 4%.

P(6.8 < X < 8.9) = P((6.8 - 8) / 1.5 < Z < (8.9 - 8) / 1.5) = P(-0.47 < Z < 0.60) = 0.3464

Therefore, the probability that a randomly selected mechanical component weighs between 6.8 lbf and 8.9 lbf is 0.3464, or about 35%.

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____The given question is incomplete, the complete question is given below:

Suppose that the weight of a mechanical component is normally distributed with mean p = 8.0 Ibf and standard deviation = 1.5 lbf. Answer the following questions: 1. If you randomly select a mechanical component, what is the probability that it weighs more than 11.5 lbf? 2. If you randomly select a mechanical component, what is the probability that it weighs less than 8.7 lbf? 3. If you randomly select a mechanical component, what is the probability that it weighs less than 5.0 lbf? 5. If you randomly select a mechanical component, what is the probability that it weighs between 6.2 lbf and 7.0 lbf? 6. If you randomly select a mechanical component, what is the probability that it weighs between 10.3 lbf and 14.0 lbf? 7. If you randomly select a mechanical component, what is the probability that it weighs between 6.8 lbf and 8.9 lbf?

The Kansas City Chiefs has a better chance of winning the super bowl 2023.

In 1967's Super Bowl I, Las Vegas sportsbooks gave the Green Bay Packers a 14-point advantage against the Kansas City Chiefs. Nevada was the only state up until 2018 to allow legal Super Bowl sports betting.

The reigning champion Kansas City Chiefs are the early favorited in the Super Bowl 58 odds, according to the top NFL betting companies. At BetMGM, the Super Bowl 58 odds for the Kansas City Chiefs are +600. You can evaluate the odds on a team you prefer to discover the best price because competing sportsbooks provide different odds for each team to win the Super Bowl.

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Answer:

Below

Step-by-step explanation:

L X W is area of rectangle ...this figure can be viewed as a rectangle on top of a rectangle

top rectangle is 3x-2   wide   and   (2x+5) - (3x-2)  length

   area =  (3x-2)(  (2x+5) - (3x-2) )

             = (3x-2) ( -x + 7)  = - 3x^2 + 23x -14     units^2

The bottom is then    (3x-2 + 2) * (3x-2)

                             area = (3x)(3x-2) = 9x^2 - 6x  units^2

Add the two areas together      (-3x^2+23x-14) + (9x^2 -6x)

                                                     6x^2 + 17x -14    and this = 25 cm^2  (given)

      6x^2 + 17x -14 = 25

      6x^2 + 17x - 39 = 0   Use Quadratic Formula to find x = 1.5

then find the longest side   using this value of x

        3x-2 + 2  = 4.5 cm

    2x+5 = 8  cm    <=====longest side

When bisecting a segment using a compass, Sasha's next step would be to swing an arc that intersects the segment. Correct option is B.

To bisect a segment, Sasha needs to find the midpoint of the segment. The compass can help her achieve this by creating two arcs with the same radius from each endpoint of the segment. The intersection of these arcs will be the midpoint of the segment.

Sasha's first step is to place the compass on one endpoint of the segment and open it to a width larger than the length of the segment. Then, she places the compass on the other endpoint and draws an arc that intersects the first arc.

The next step is to swing an arc with the same radius from the other endpoint of the segment, again intersecting the first arc. The intersection of these two arcs will give the midpoint of the segment, which can be marked with a straightedge.

Therefore, Sasha's next step in bisecting a segment using a compass is to swing an arc that intersects the segment.

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According to the information, we plan to have cruising speed on for a minimum of 3 hours and a maximum of 4.1 hours.

To calculate how many hours we are going to have the cruising speed on we must carry out the following process:

To calculate the minimum we must subtract 35 from 215 and then divide by the speed:

So the minimum hours would be 3 hours.

On the other hand, to calculate the maximum we must add 35 to 215 and divide it by the speed:

So the maximum time would be 4.1 hours.

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Answer:

$19

Step-by-step explanation:

calculate 94-18/4 = 19

Step-by-step explanation:

this is very simple, we only have to divide each side by four to single out our unknown.

[tex]-7=r[/tex]

Answer:

the solution to the equation -28r = 4r is r = 0.

Step-by-step explanation:

To solve the equation -28r = 4r, we can isolate the variable "r" on one side of the equation and find its value. To do this, we can start by subtracting 4r from both sides of the equation:

-28r - 4r = 4r - 4r

-32r = 0

Next, we can divide both sides of the equation by -32 to find the value of "r":

(-32r) / -32 = 0 / -32

r = 0

So the solution to the equation -28r = 4r is r = 0.

The correct value of the expression is,

⇒ (2²)³ - (8 - 4)² × 4 = 0

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ (2²)³ - (8 - 4)² × 4

Now, We can solve as;

⇒ (2²)³ - (8 - 4)² × 4

⇒ (4)³ - (4)² × 4

⇒ 4³ - 4³

⇒ 64 - 64

⇒ 0

Thus, We get;

⇒ (2²)³ - (8 - 4)² × 4 = 0

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The Area of Rhombus is 97.5 cm².

The area of a rhombus is equal to half the product of the lengths of the diagonals. The formula to calculate the area of a rhombus using diagonals is given as, Area = (a × b )/2 where, a and b are the diagonals of the rhombus.

Given:

As, diagonals of rhombus bisect perpendicularly.

so, In triangle OAD using Pythagoras theorem

AD² = OD² + OA²

10² = 7.8² + OD²

OD= 6.25 cm

So, length of BD = 2 x 6.25 = 12.5 cm

Now, area of Rhombus = 1/2 x a x b

                                       = 1/2 x 15.6 x 12.5

                                       = 97.5 cm².

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The corresponding probabilities for these outcomes are 0.25, 0.35, and 0.15, respectively.

What is the probability?

Probability is the study of the chances of occurrence of a result, which are obtained by the ratio between favorable cases and possible cases.

To fill in the blanks, we need to use the given information to complete the probability distribution table.

We can see that there were 3 dogs (out of the 60) that did not use any toys, and the probability of a dog not using any toys is 0.05 or 5%. There were 12 dogs (out of the 60) that used 1 toy, and the probability of a dog using 1 toy is 0.2 or 20%. Similarly, there were 15 dogs that used 2 toys, 21 dogs that used 3 toys, and 9 dogs that used all 4 toys. The corresponding probabilities for these outcomes are 0.25, 0.35, and 0.15, respectively.

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For the graph of given function, At x = 2, the graph crosses x axis At x = - 6, the graph touches x axis, At x = - 12, the graph crosses x axis.

What's an Equation?

The description of an equation in algebra is a fine statement proving the equivalency of two fine expressions.

The two equations 3x 5 and 14 are separated by the" equal" sign in the equation 3x 5 = 14, for illustration.

In mathematics, an equation is a relationship between two expressions that's equal on both sides of the equal to subscribe. An equation is commodity like 3y = 16.

Equation of a function f( x) = ( x − 2) 3( x 6) 2( x 12)

Lets find out the roots and dissect

lets set each factor = 0 and break for x

Exponent in each factor tell us the multifariousness. Using multifariousness we check whether crosses or traces x axis

When multifariousness is odd also graph crosses x axis.

when multifariousness is indeed also graph touches x axis.

f(x) = (x-2)^3(x+6)^6(x+12)

      ⇒(x-2)^3

      ⇒x-2 = 0

      ⇒ x = 2

Root is x = 2 with multifariousness 3. 3 is odd

At x = 2, the graph crosses x axis

⇒ (x+6)^2

⇒ (x+6)=0

⇒ x = -6

At x = - 6, multifariousness is 2 that's indeed.

At x = - 6, the graph touches x axis

x + 12 = 0

x = -12

x = - 12 with multifariousness 1. 1 is odd

At x = - 12, the graph crosses x axis.

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Answer:

Step-by-step explanation:

c

a

It is not possible to graph f(x) = 100(0.772) without additional information. A function needs at least two points to graph a line. The expression f(x) = 100(0.772) represents a constant value, not a function of x, so it cannot be graphed on its own.

Answer: knvsvvs

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

72/24 = 3

72 is 3 times 24, so you need 3 times as many garbage trucks.

Answer: 9

Answer:

25 minutes

Step-by-step explanation:

Subtract the two times to find the duration.

The equation of the quadratic equation whose root are 5 and -9 is x² +4x -45

quadratic equation is a second-order polynomial equation in a single variable x ax²+bx+c=0. with a ≠ 0 . Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

The equation of a quadratic is given as :

x²-(alpha+beta)x + alpha×beta = 0

where alpha and beta are the roots of the quadratic equation.

alpha+beta = 5-9 = -4

alpha × beta = -9× 5 = -45

therefore the equation will be;

x²-(-4)x + ( -45) = 0

x² + 4x -45 = 0

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Using the ratio formula the unknown numbers are found to be 6 and 9.

What is ratio?

Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other. Two categories can be used to categorise ratios. Part to whole ratio is one, and part to part ratio is the other. The part-to-part ratio shows the relationship between two separate entities or groupings.

The original ratio value is 2 : 3.

Three is added to the ratio.

The new ratio value is 3 : 4.

Let the unknown numbers be 2x and 3x.

The equation will be -

2x + 3 / 3x + 3 = 3/4

Solve the equation -

4(2x + 3) = 3(3x + 3)

8x + 12 = 9x + 9

8x - 9x = 9 - 12

-x = -3

x = 3

Substitute the value of x in the unknown numbers -

2x = 2(3) = 6

3x = 3(3) = 9

Therefore, the numbers are 6 and 9.

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The value of the expression is 5193.

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

From the notation, we have the following values:

The first term, a = 400

The common ratio, r = 0.93

The number of terms, n = 34 - 1 = 33

The sum of the geometric progression is represented as:

Sum = a(1-rⁿ)/(1-r)

Sum = 400(1-0.93³³)/(1-0.93)

Sum = 5193

Therefore, the value of the expression is 5193

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