A plane traveled 3355 miles with the wind in 5.5 hours and 2585 miles against the wind in the same amount of time. Find the speed of the plane in still air and the speed of the wind.

HELP QUICKKKKK

The required solution of the given quadratic equation is [tex]{\displaystyle x={\frac {2\ - {\sqrt {(-32)}}}{2}}[/tex] and  [tex]{\displaystyle x={\frac {2\ + {\sqrt {(-32)}}}{2}}[/tex]

In elementary algebra, the quadratic formula is a formula that provides the solution(s) to a quadratic equation.

Given a general quadratic equation of the form

ax^2 + bx + c = 0

with x representing an unknown, with a, b and c representing constants, and with a ≠ 0, the quadratic formula is:

[tex]{\displaystyle x={\frac {-b\pm {\sqrt {b^{2}-4ac}}}{2a}}[/tex]

and,

Now the given quadratic equation is,

x^2 - 2x = - 9

or,  x^2 - 2x + 9 = 0

here, a = 1

b = -2

c = 9

Thus quadratic formula is given as,

[tex]{\displaystyle x={\frac {-b\pm {\sqrt {b^{2}-4ac}}}{2a}}[/tex]

[tex]{\displaystyle x={\frac {-(-2)\pm {\sqrt {(-2)^{2}-4*1*9}}}{2*1}}[/tex]

[tex]{\displaystyle x={\frac {2\pm {\sqrt {4-36}}}{2}}[/tex]

[tex]{\displaystyle x={\frac {2\pm {\sqrt {(-32)}}}{2}}[/tex]

Thus,we get,

[tex]{\displaystyle x={\frac {2\ - {\sqrt {(-32)}}}{2}}[/tex]

[tex]{\displaystyle x={\frac {2\ + {\sqrt {(-32)}}}{2}}[/tex]

Thus,the required solution of the given quadratic equation is [tex]{\displaystyle x={\frac {2\ - {\sqrt {(-32)}}}{2}}[/tex] and  [tex]{\displaystyle x={\frac {2\ + {\sqrt {(-32)}}}{2}}[/tex]

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The approximate side length of a square game board with an

area of 184 in² is 14 inches

The formula for calculating the area of a square is expressed as;

A = l²

where

l is the side length of a square

Given the following parameters

A = 184 square inches

Substitute

184 = l²

l = √184

l = 13.56

Hence the approximate side length of a square game board with an

area of 184 in² is 14 inches

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He puts 100$ in the bank on the 25th week.

An example of a financial institution that lends money is a bank, which both collects deposits from the public and creates demand deposits. Through the capital markets, the bank may engage in lending activities directly or indirectly.

Banks are heavily regulated in most countries because they are essential to the financial stability and economic health of a nation. The fractional reserve banking system, in which banks maintain liquid assets that are only partially comparable to their current liabilities, has been institutionalized in the majority of countries. In addition to other constraints intended to assure liquidity, banks are often subject to minimum capital requirements based on an international set of capital norms known as the Basel Accords.

Explanation:

First term([tex]a_{1}[/tex])= 1

Common difference= 1.25-1=0.25

[tex]a_{25}[/tex]=1+(25-1).25

        =1+(24)(.25)

        = 1+6

        =7

[tex]S_{25}[/tex]=25/2 (1+7)

    =25/2 (8)

    =100

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A. 58.2%

this is because

(95610-60450)/60450 =0.5816377171215 which rounds to 0.582 which is 58.2%

Answer:

A

Step-by-step explanation:

Change in population/ original number

[tex]\frac{95610 - 60450}{60450}[/tex] = [tex]\frac{35160}{60450}[/tex] = .58163771712  This is the answer as a decimal.  Multiple this by 100 to get 58.2% increase rounded to the nearest tenth of a percent.

The cost for a 3-hour installation is $195.

A relation between a collection of inputs and outputs is known as a function. A relationship between inputs and outputs in which each input is connected to only one output is called a function. Each function has a codomain, range, and domain.

The hourly charge to install two new programs and a connection is $50.

The computer store charge $45 for the materials.

The function for the cost of the number of hours it takes to complete the job is given as:

C(h) = 45 + 50h

Therefore, the cost for a 3-hour installation is:

C(3) = 45 + 50 × 3

C(3) = 45 + 150

C(3) = $195

The 3-hour installation cost is $195.

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Answer:

extraneous

Step-by-step explanation:

extraneous

Answer

-6a - 48

Solution

-6 x a= -6a

8 x -6= 48

-6a - 48

This is 5th edition of  the book.

Statistics a branch of mathematics dealing with the collection, analysis, interpretation, and presentation of masses of numerical data

This is a book related to statistics for the life sciences which was written by  three persons named MYYRA L  SAMUELS, JEFFERY A WITNER, ANDREW SCHAFFNER. This book is fully related to life sciences .

It depicts how many no. of animals found in the region and what is the no. of lions or how many giraffe is found in that area or how many different species is found in particular area.

So, all these things they are given with the help of statistics.

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Meena would take 4 hours to drive 196 miles.

We will begin with calculation of number of miles Meena drives in 1 hour. We need to perform division as per the formula given below to find the speed. Then we will calculate the time required for driving 196 miles.

So, formula stating rate or speed of driving -

Speed = distance ÷ time

Keep the values in formula to find the speed

Speed = 245 ÷ 5

Performing division

Speed = 49 miles per hour

So, Meena drives 49 miles in 1 hour.

For driving 196 miles, the time required = (1 ÷ 49) × 196

Performing multiplication and division

Time required = 4 hours

Hence, Meena will require 4 hours to drive 196 miles.

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The hour hand that goes through 3 right angles and starts from 7 will stop at 4.

We can assume that the numbers in a clock are positioned in a circle. The angle in a circle is 360⁰, while the numbers in a clock is 12.

Hence, from each clock number to its consecutive number, the hour hand must travel 30⁰ as shown in the attached picture.

A right angle is equal to 90⁰. This is equal to 3 ⨉ 30⁰. In other words, to travel  90⁰ means to travel 3 hours.

3 right angles =  3 ⨉ 90⁰

                      = 3 ⨉ 3 hours

                      = 9 hours.

Thus, the hour hand will go to:

7 + 9 = 16

16 is equal to number 4 in a clock number.

Conclusion: If the hour hand start from 7, it will stop at clock number 4.

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it's a vampire !

the surviving digits are 1, 3, 9 ,and 5.

unless i have the wrong definition of a vampire number.

Answer:

x = -14

Step-by-step explanation:

ez I GOTCHU (pls give brainliest :D)

alr so we got y = -2x-1.  we need to substitute that into the equation

4x + 2 (-2x-1) - 12 is ur equation

4x + -4x -2 - 12

-14 = x

pls branliest

Answer: 13/2

Step-by-step explanation:

Answer: PQ=15

Step-by-step explanation:

XY=(PQ+SR)/2

PQ+SR=2*XY

PQ+35=2*25

PQ+35=50

PQ=15

Answer:

Step-by-step explanation:

$75 gift card

$12 for movie

$9 for book

$75 - $12 = $63

$63 divided by $9 = 7

So she can by 7 books

Answer:

3 x 2 5/6 y 7/6 x 8/3

^3 x

Step-by-step explanation:

The pool that Reggie drew will be 24 millimeters long, compare to real life which is 24 meters long.

As we can't create a real-life dimension in a small sheet of paper, we opted for a small scale that covers up the large length. As we are given, the scale of the drawing is 4 millimeters: 3 meters, which means 1 millimeter is equal to 3/4 meters, and the size of the pool in real life is 24 meters.

So, the length of the pool in the drawing is = 24*(3/4)

                                                                           = 24 millimeters

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The equation given as 2/(7 - m) = 4/(m - 5) - m/(7 -m) has no real solution for m

The equation is given as

2/(7 - m) = 4/(m - 5) - m/(7 -m)

Take the like terms of the above equation

So, we have

m/(7 -m) + 2/(7 - m) = 4/(m - 5)

Evaluate the like terms in the above equation

So, we have

(m + 2)/(7 -m) = 4/(m - 5)

Cross multiply the above equation

So, we have

m^2 + 2m - 5m - 10 = 28 - 4m

Evaluate the like terms

m^2 + m + 18 = 0

Using a graphing tool, we have no solution for m

Hence, the equation given as 2/(7 - m) = 4/(m - 5) - m/(7 -m) has no real solution for m

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Answer:

Step-by-step explanation:

(6x-51)*(2x+61)

=6x(2x+61)-51(2x+61)

=[tex]=12x^{2} +366-102x-3111\\=12x^{2} -102x+366-3111\\=12x^{2} -102x-2745[/tex]

HOPE THIS HELPS!!!!

Answer:

The answer is A.

Because...

[tex]3-3[/tex]

[tex]=3+-3[/tex]

[tex]=0[/tex]

Here's photo as well.

Answer:

The First Image!

Step-by-step explanation:

Given

[tex]\boxed{3+(-3}[/tex]

This gives:

[tex]\boxed{3+(-3)=3-3=0}[/tex]

You were given  3+ (-3).

This means that we count 3 places forward, then count 3 places backward.

We stop at zero.

This implies that 3+(-3) is zero

Which tells you The first option/Image  is correct!

AshTheNeko

Answer:

a=57 degree

b = 24 degree

c = 39 degree

d = 60 degree

Step-by-step explanation:

angle a = YWX = YZX = 57

angle b = ZWY = ZXY = 24

angle c = WYX = WZX = 39

angle d = WYZ = WXZ = 60

Answer:

40,000

Step-by-step explanation:

Answer:

[tex] \frac{3 + p}{q} [/tex]

Step-by-step explanation:

Because it says 3 and p then you divide both of them by q

Hope this helps!

If you have any questions ask!

You have to add 3 and p before dividing by q.

(3 + p)/q

Answer:

54 can be divided by both 2 and 3. And yes there is more than one answer.

Step-by-step explanation:

54 is less than 60 but greater than 50, and it can also be divided by 2 and 3 without there being a remainder. All the other answers could be: 52, 54, 56, and 58 (all of which could be divided by 2) and 51, 54, and 57 (all of which could be divided by 3).

Hope this helps!!! :)

Inequality Form:

x<−8

Interval Notation:

(−∞,−8)

Simplify

3−(2x−5),

−2x+8<−4(x2)

Simplify −4(x+2).

−2x+8−4x−8

Move all terms containing x to the left side of the inequality.

2x+8<−8

Move all terms not containing x to the right side of the inequality.

2x<−16

Divide each term in 2x<−16by 2 and simplify.

x<−8

The result can be shown in multiple forms.

Inequality Form:

x<−8

Interval Notation:

(−∞,−8)

What is inequality form ?

The notation a ≠ b means that a is not equal to b; this inequation sometimes is considered a form of strict inequality. It does not say that one is greater than the other; it does not even require a and b to be member of an ordered set.

What is interval notation?

Interval notation is a way to describe continuous sets of real numbers by the numbers that bound them. Intervals, when written, look somewhat like ordered pairs. However, they are not meant to denote a specific point. Rather, they are meant to be a shorthand way to write an inequality or system of inequalities.

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Answer:

3/ax-4=20

first add 4 to both sides

3/ax=20+4

multiply by a/3

24a/3

so x=8a

Answer: 1/8a

Step-by-step explanation: add 4 to both sides first, which will give you 3/ax = 24. Now multiply both sides by ax/3 to get rid of the 3/ax, which will then give you 1 = 24 * ax/3, which equals to 1 = 24ax/3. This can be simplified further and you'll get 1 = 8ax. now divide both sides by 8a to isolate x, you will end up with 1/8a = x.

Answer:125.666

Step-by-step explanation:

The function is positive on (-4, -3), and (-1, 4),

the function is negative on (-3, -1),

the function increases on (-2, 2), and

the function decreases on (-4, -2) and (2, 4).

The key features of the function given in the graph are:

Positive intervals:

Here we need to say at which intervals the value of the graph is positive.

That is at which intervals the graph is above the x-axis.

It is clear from the graph that the function is positive on (-4, -3), and (-1, 4)

Negative intervals:

Here we need to say at which intervals the value of the graph is negative.

That is at which intervals the graph is below the x-axis.

It is clear from the graph that the function is negative on (-3, -1).

Increasing intervals:

Here we need to say at which intervals the value of the function increases.

That is at which intervals the graph goes upwards when the value of the x increases.

It is clear from the graph that the function increases on (-2, 2).

Decreasing intervals:

Here we need to say at which intervals the value of the function decreases.

That is at which intervals the graph goes downwards when the value of the x increases.

It is clear from the graph that the function decreases on (-4, -2) and (2, 4).

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