100 POINTS!!
Activity
Plane A is descending toward the local airport, and plane B is ascending from the same airport. Plane A is descending at a rate of 2,500 feet per minute. Plane B is ascending at a rate of 4,000 feet per minute. If plane A is currently at an altitude of 14,000 feet and plane B is at an altitude of 1,000 feet, how long will it take them to be at the same altitude? The equation representing plane A’s descent is y = -2,500x + 14,000. The equation representing plane B’s ascent is y = 4,000x + 1,000. In both equations, y represents altitude and x represents time in minutes.

Part A
Go to your math tools and open the Graph tool to graph the two equations and determine the position of the point of intersection for the two equations. To create the graph, select the correct relationship and then enter the values for the variables. Adjust the maximum and minimum y-values until the point of intersection is visible. Paste a screenshot of the graph in your answer.

Part B
From the graph, find the solution to the system of equations. At what point do the lines appear to intersect?

Part C
The x-value for this situation represents time in minutes. So, what does the x-value of the point of intersection represent?

Part D
The y-value for this situation represents altitude. So, what does the y-value of the point of intersection represent?

7+8x=0

first step -Subtract 7 from both sides.

7+8x-7=0-7

Step 2

8x=-7

Step 3

Divide both side by 8

Instead of dividing the right hand side of equation in step 2 by 8, the right hand side is multiplied by 8 in step 3.

So, the error is in step 3.

Solution for the given Inequality

x > 6 : (6 , 11), (5 , 10)

y < 2x: (8, 12), (6, 11), (7,10), (5, 10), (8, 10), (9,12)

What is Inequality?

Inequality of wealth in major cities Economic inequality comes in many forms, most notably wealth inequality measured by the distribution of wealth and income inequality measured by the distribution of income.

Let us study each inequality and find the right solutions

∵ x > 6

∴ The x-coordinates of the points are 7,8,9

- That means answer A and D is out because its x-coordinate not greater

 than 6 ⇒ (6 , 11), (5 , 10),

∵ y < 2x

∴ The y-coordinates of the points are 10,11,12

- That means all are answers because y-coordinates is

not greater than 2x ⇒  (8, 12), (6, 11), (7,10), (5, 10), (8, 10), (9,12)

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When a study's findings are highly valid, it means that they accurately reflect the genuine features, traits, and variations in the physical or social reality. The measure of frequency of drinking and driving is: reliable but not valid.

This option contends that although the survey's measure was not valid, it was dependable. This happens when research is constructed in a consistent but ineffective manner. In this instance, a sample of young people from a small town was taken into account; however, despite its consistency and reliability, it does not accurately reflect the findings of data from police records.

How well a method measures what it is supposed to measure is known as its validity. When a study's findings exists highly valid, it indicates that they accurately reflect the genuine features, traits, and variations in the physical or social reality. High dependability exists one sign of a valid measurement.

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Answer:

16

Step-by-step explanation:

Two negatives make a positive:

18-7+5

Solve the problem left to right:

18-7=11

11+5=16

Answer:

height = 12

Step-by-step explanation:

try and use the formula to plug it in and solve for x.

Given the data shown in the table, you can identify that these two points are on the line:

By definition, the Slope-Intercept Form of the equation of a line is:

Where "m" is the slope of the line and "b" is the y-intercept.

You can find the slope of the line using this formula:

Where these two points are on the line:

Answer:

Either 55.56 or 47.222 hours, depending on how the qyuestion is interpreted.  The first answer assumes that Jessica's existing savgings of $75 is not available for emergencies.

Step-by-step explanation:

The question is difficult to answer.  It doesn't specify that the $75 counts agains the $500.  It simply asks how many hours of work does she need to earn $500.

Jessica is paid $9/hr, so her earnings (y, in $) are described by the formula:  x hours at :

  y = ($9/hr)*x

If we set y = $500:

  $500 = ($9/hr)*x

   x = $500/($9/hr)

x = 55.56 hours.

However, if we set y = $500 - $75, the Jessica only needs to work:

      $425 = ($9/hr)*x

      x = $425/($9/hr)

     x = 47.222 hours

Equation:

A =1/2 * r * C

Replace with the values from the table and check the equation:

First row:

50 = 1/2*4*25

50= 50 TRUE

Second row:

78.5= 1/2*5*31.5

78.5= 78.75 FALSE

Since one equality is false, the equation Doesn't describe the relationship-

Answer : NO

Answer:

-14.1 kJ

Step-by-step explanation:

We need the specific heat of water, which is 4.184 J/g-K.  It means that 4.184 Joules of energy will raise 1 gram of water by 1 degree Kelvin.  It also means that removing 4.184 Joules of energy will lower the temperature of 1 gram of water by 1 degree Kelvin.

We want to lower the temperature by 15 degrees C (-15C).  That is also -15K.  We have 225 grams of water.

 This can be used in the equation q = mc(T2 - T1),

 where q is the heat, or energy, m is the mass, c is the specific heat, and (T2-T1) is the temperature change, in Kelvin.

 q = mc(T2 - T1)

  q = (225g)(4.184 J/g-K)(10K - 25K)

   q = (225g)(4.184 J/g-K)(-15K)

 q = -14121 J  or -14.1 kJ

It is negative because heat is leaving the system.

Answer:

x=-11

Step-by-step explanation:

Steps are in the attachment, but I couldn't include the last step.

The last step is to divide by -2 on both sides.

The final answer then will be x=-11

step 1

Find out the unit price

Divide the total cost by the total ounces

so

2/16=$0.125 per ounce

step 2

Find the cost of 8 oz

Multiply the number of ounces by the unit price

so

0.125*8=$1

Find the cost of 12 oz

0.125*12=$1.5

Find the cost of 18 oz

0.125*18=$2.25

Find the cost of 28 oz

0.125*28=$3.5

A number is squared when it is multiplied by itself.

Hence, the correct option is Option B

The most appropriate choice for percentage will be given by -

Total salary of Marques in a week = $825

If Marques makes $x in sales, his total salary in a week = $([tex]750 + \frac{x}{10}[/tex])

What is Percentage?

Suppose there is a number and that number has to be expressed as a fraction of 100. The fraction is called percentage. For example 2% means [tex]\frac{2}{100}[/tex]

Here,

Guarantee salary of Marques = $200

Sales made by Marques in a week= $750

Percentage commission on total sales = 10 %

Commission received by Marques = [tex]\frac{10}{100} \times 750\\[/tex]

                                                          = $75

Total salary of Marques in a week = $(750 + 75)

                                                         = $825

If Marques makes $x in sales, his total salary in a week = $([tex]750 + \frac{10}{100}\times x[/tex])

                                                                                            = $([tex]750[/tex] + [tex]\frac{x}{10}[/tex])

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The variable h, as the subject of the given formula is h = 3 / (G.V + 1)

From the question, we are to make h the subject in the given formula

The given equation is

(3 - h) / V = G . h

Multiply both sides of the equation by V

V × (3 - h) / V = G . h × V

3 - h = G . h . V

Add h to both sides

3 - h + h = GhV + h

3 = GhV + h

Factorize h

3 = h(G.V + 1)

Now,

Divide both sides of the equation by (G.V + 1)

That is,

3 / (G.V + 1) = h

∴ h = 3 / (G.V + 1)

Hence, the value of h is 3 / (G.V + 1)

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13

Step-by-step explanation:

i said 36 divide by 3 is 13

Answer:  The correct answer is x=18 and y=59

Step-by-step explanation:

Opposite angles are congruent:

(6x+13) = (7x-5)

Solve for x:

6x+13−7x=7x−5−7x

−x+13−13=−5−13

−x=−18

x=18

Plug x value in for y:

Y=180-(7x-5)

Y=180-(126-5)

Y=180-121

Y=59

The rate at which the area is increasing is 95cm/sec² .

Let us take the variable a to be the length of the rectangle and take the variable to b be the width of the rectangle.

We know that the area of the rectangle is given by A=a × b

Now differentiating with respect to t we get :

[tex]\frac{dA}{dt} = w\times\frac{da}{dt} +l\times\frac{db}{dt}[/tex]

Substituting the values we get that the rate of increase in the area is :

Rate of increase = (32 + 63) cm/sec² = 95 cm/sec²

A constant function is also regarded as linear in this sense because it is a polynomial of degree zero, or the zero polynomial.

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Answer:

Step-by-step explanation:

ABC

ADC

Using the formula °F = 1.8°C +32°, The temperature in Degrees Celsius of an oven that is 500°F is 260°C.

For everyday purposes, Fahrenheit is used in the United States, its territories, and related states (all of which are covered by the U.S. National Weather Service), as well as in Liberia, the Cayman Islands, and other places. For instance, temperatures for freezing, cooking, and other conditions are typically given in degrees Fahrenheit in the United States.

On the Celsius scale, one of the two temperature scales used in the International System of Units along with the Kelvin scale, the unit of temperature is the degree Celsius. The term "degree Celsius" can be used to describe either a specific temperature on the Celsius scale or a measurement of the difference between two temperatures.

Here,

°F=1.8°C+32°

500°F=1.8°C+32°

1.8°C=468°F

°C=468/1.8

°C=260°C

The temperature in Degrees Celsius of an oven that is 500°F is 260°C by using the formula °F = 1.8°C +32°.

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Let's recalll that:

• 1 mile per hour = 1.46667 feet per second

Therefore:

• 10 miles per hour = 1.46667 * 10 feet per second

• 10 miles per hour = 14.6667 feet per second, Khalil!

Answer:

the answer of a question is option A

Hello!

Here are all three solutions to the given equation.

Exact Form:

[tex]w=\frac{21}{20}[/tex]

Decimal Form:

[tex]w=1.05[/tex]

Mixed Number Form:

[tex]w=1\frac{1}{20}[/tex]

Hope this helps!

Answer:

5

Step-by-step explanation:

Neither of the pairs of linear equations has the same slope in both lines, so we don't have parallel lines.

A general linear equation is of the form:

y = m*x + b

Where m is the slope and b is the y-intercept.

Two linear equations are parallel only if both lines have the same slope and a different y-intercept.

In this case, the lines given are:

y = x + 2 and y = 2.

x = 2 and y = 4

Neither of these are particularly parallel lines (because in both pairs we have different slopes), so we conclude that there is no correct option.

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Answer:

the answer for this question is 35.0

Answer:

70

Step-by-step explanation:

Step-by-step explanation:

Substitute the values

a

=

1

,

b

=

−

2

, and

c

=

−

5

into the quadratic formula and solve for

x

.

2

±

√

(

−

2

)

2

−

4

⋅

(

1

⋅

−

5

)

2

⋅

1

Simplify.

x

=

1

±

√

6

Simplify the expression to solve for the

+

portion of the

±

.

x

=

1

+

√

6

Simplify the expression to solve for the

−

portion of the

±

.