Solve and represent X< -2 or X<5 in all ways​

The possible widths of the play area is  mathematically given as

This is further explained below.

Generally, the equation for perimeter  is  mathematically given as

P =2(l+w)

180 =2(l+w)

2(l+w) =180

[tex]l+w = \frac{180}{2}[/tex]

l+w =90

A =l \times w

1800 &=l *w

l *w =1800

l *w =1800

Substitute Eq. 3 in the Eq. 2:

l *w=1800

(90-w) *w=1800

90w-ww=1800

90w-w^2=1800

w^2-90 w+1800=0

Therefore

w^2-90 w+1800 =0

[tex]\left(w^2-30 w\right)+(-60 w+1800) =0[/tex]

w(w-30)-60(w-30) =0

(w-30)(w-60) =0

Thereofre

w =30

w=60

In conclusion, Because of this, the width of the rectangular play space is either thirty or sixty feet.

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Answer:

1 : 4 1/2 :: 8 1/5 : x            proportion

x = (4 1/2)(8 1/5)                product of means/extremes

x = (9/2)(41/5)                   change improper fraction

x = 369/10                         multiply

x = 36.9                              change to decimal

The values of x and y are;

If a, b, and r are all real numbers that are not equal to zero, then;

ax + by = c depicts a two-variable linear equation.

For the given equations;

(7y-4)° = 59⁰ and (3y - 5)° = (12x + 3)º

Consider (7y-4)° = 59⁰;

Simplifying;

7y = 59 + 4

7y = 63

y = 9

Put y = 9 in the second equation;

(12x + 3)º = (3y - 5)°

12x + 3 = 3×9 - 5

Further simplifying;

12x = 27 - 8

12x = 19

x = 19/12

Thus, the values obtained for x and y are  x = 19/12° and y = 9°.

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The correct question is-

Find the values of x and y.

(7y-4)° = 59⁰

(3y - 5)° = (12x + 3)º

The two numbers with the value of 9 in the first digit being 10 times the value of 9 in the second digit are 98 and 9.

Given that the value of the digit 9 in the second number is 10 times the value of digit 9 in the first number .

The first number will be 9 and the second number will be 98.

In the second number, the 9 is in the tens position which means that it has the value of 90.

In the first number, the value of 9 is simply 9.

90 is 10 times the value of 9 which means that 9 and 98 satisfy the requirements.

The first number will be 9 and the second number will be 98.

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A sample of n = 100 scores has a mean of 5. A second sample has n = 25 scores and m = 7. if the two samples are combined, the sample mean for the combined sample will be 5.4.

We are given the sample mean of n = 100, is 5. Therefore, the sum of 100 observations is 100 x 5 = 500

The sample mean of n = 25, is 7. Therefore, the sum of 25 observations is

25 x 7 = 175

The sum of two samples is 500 + 175 = 675.

And the sum of two sample size is 100 + 25 = 125

Now, the combined mean is:

675125=5.4

A dataset's mean(also known as the arithmetic mean, which differs from the geometric mean) is calculated by dividing the sum of all values by the total number of values. It is frequently referred to as the "average" and is the most widely used measure of central tendency.

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Answer:

1/2

Step-by-step explanation:

The solution is shown below:

In addition to two-way selection, most programming languages provide another selection concept known as multiway selection. Multiway selection chooses among several alternatives. C has two different ways to implement multiway selection: the switch statement and else-if construct.

Given condition:

adds 1 to minors if age is less than 18, adds 1 to adults if age is 18 through 64 and adds 1 to seniors if age is 65 or older.

if age < 18:

   minors += 1

else if age < 65:

   adults += 1

else:

   seniors += 1

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Answer:

272/49

Step-by-step explanation:

hope this helps :)

The required image of kite QRST after a reflection over the line y= -x has shown in the attached graph.

point Q (3,10)

point R (-1,9)

point S (3,7)

point T (7,9)

A graph can be defined as a pictorial representation or a diagram that represents data or values.

Reflection over the y = −x is defined as reflecting a point across they = −x,  the x-coordinate and y-coordinate change places, and t the line y = x is the coordinates (y, x). the line y = -x is the coordinates (-y, -x).

Here point Q (−7,5) reflected across the line y = -x will become (3,10).

Similarly

point R (-1,9)

point S (3,7)

point T (7,9)

Therefore, the required image of kite QRST after a reflection over the line y= -x has shown in the attached graph.

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Answer:

A = 11

B = 8

Step-by-step explanation:

The function is 2[tex]2x^2 + x + 5[/tex]

To determine y=A and y=B simply substitute the value of x corresponding to that y-value

A is at x = -2

At x = -2,
[tex]\mathsf =2\left(-2\right)^2+\left(-2\right)+5[/tex]
= [tex]2\cdot \:4+\left(-2\right)+5[/tex]

[tex]= 8 - 2 + 5[/tex]
[tex]= 11[/tex]

So [tex]\boxed{A = 11}[/tex]

For B, note that x = 1

So y-value for x = 1 is

[tex]y = 2\cdot \:1^2+\:1+5[/tex]
[tex]=2\cdot \:1+1+5[/tex]

[tex]=2+1+5[/tex]

[tex]=8[/tex]

So [tex]\boxed{B=8}[/tex]

either 1042.35 or 1.04235*10^3

Answer:

48000

Step-by-step explanation:

260000*5%=13000

35000+13000=48000

The measure of Angle ∠A is 93

The given parameters are

Angle ∠A = 2x + 19

Angle ∠B = 3x - 18

The angles are vertical angles

So, we have

Angle ∠A = Angle ∠B

This gives

3x - 18 =2x + 19

Collect the like terms

3x - 2x = 18 + 19

Evaluate the like terms

x= 37

Substitute x= 37 in Angle ∠A = 2x + 19

Angle ∠A = 2 x 37 + 19

Evaluate

Angle ∠A = 93

Hence, the measure of Angle ∠A is 93

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Answer:

[tex]\frac{2}{9}[/tex]

Step-by-step explanation:

2 ( [tex]\frac{1}{3^2}[/tex] )

= 2 ( [tex]\frac{1}{9}[/tex] )

= 2 × [tex]\frac{1}{9}[/tex]

= [tex]\frac{2}{9}[/tex]

Answer: 13.6 or 9.2

Step-by-step explanation:

Answer:

x=2/7

Step-by-step explanation:

The most important thing to note is that angle A and angle B are vertical angles. Vertical angles are always equal. So, you can set 4x+2=11x and solve.

To get x by itself, subtract 4x from both sides to get 2=7x. Then divide 7 from both sides which gets x equal to 2/7.

The slope-intercept form will be easier to write the equation of the line.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The equation of the line for the slope and intercept form is y = mx + c. Where m is the slope of the line and c is the y-intercept of the line.

Therefore, the slope-intercept form will be easier to write the equation of the line.

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Answer:

D has a horizontal symmetry.

The Absolute error of the engineer's estimate is 14 pounds and the percent error is 4.89 % .

Absolute Error is defined as the difference between The Actual value and the estimated value .

Percent Error is defined as the difference between The Actual value and the estimated value in comparison to actual value expressed in percent .

[tex]Percent Error=\frac{|Estimated Value-Actual value|}{Actual Value} *100[/tex]

Given that the Estimated value =300 pounds

Actual Value=286 pounds

Absolute Error=300-286=14 pounds

Percent Error=[tex]\frac{|300-286|}{286} *100[/tex]

=[tex]\frac{14}{286} *100=4.89[/tex]%

Therefore , The Absolute error of the engineer's estimate is 14 pounds and the percent error is 4.89 % .

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Answer:

5/6

Step-by-step explanation:

Answer:

53.7 degrees.

Step-by-step explanation:

Answer:200

Step-by-step explanation:1,090

Answer:

your your question is wrong please make sure

Answer:

30

Step-by-step explanation:

3+0.2x

3(2)+0.1x

8.1

26

HHe will owe the IRS and the amount is $4603.03

In this question, we have been given Mr. Sullivan's employer withheld $19,342.19 in federal income tax.

Elsner has determined that his tax is $23,945.22

We need to find whether he get a refund, or he owes the IRS.

From given information,

Employer withheld in federal taxes last year = $19,342.19

His tax amount is $23,945.22

So by considering the above information, the he owes the additional taxes because the tax amount i.e., $23,945.22 is more than the withheld amount i.e., $19,342.19

So, the additional taxes would be,

$23,945.22 - $19,342.19 = $4603.03

This difference represent the additional taxes owed.

Therefore, he will owe the IRS and the amount is $4603.03

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Answer:  He can make 9 hamburgers.

Step-by-step explanation:

one  hamburger can be made by 1/3 of beef,

so according to ratio and proportions ,

1 beef can make 3  hamburgers,

hence 3 pound of beef can be used to make

=3*3

=9  hamburgers

hence,

He can make 9 hamburgers.

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Answer:1

Step-by-step explanation: firstly , divide 3 by 1\3  then 3÷1\3=1

Answer:

you should use words that can help some people can,t under stand so this is what

The function which represents the taxi fare in terms of distance d in meter is f(d) = 3.50 ×[tex]\frac{d-500}{300}[/tex] + 40 .

According to the question,

For first 500 meters cost is  40.00 and For each additional 300 meters cost is 3.50 .

Let, the total distance of taxi ride = d meters

Now, representing the equation of taxi fare in terms of distance when distance is less than 500

taxi fare = 3.50 ×  [tex]\frac{d-500}{300}[/tex]  + 40

∴  f(d) = 3.50 ×  [tex]\frac{d-500}{300}[/tex] + 40

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The required result of the sliding filament model given below.

The mechanism by which muscles contract is described by the sliding filament model. Actin and myosin myofilaments move over one another as a result of a cycle of repeated occurrences, constricting the sarcomere and creating tension in the muscle.

The A band is the middle, darkly pigmented area of the sarcomere that runs the entire length of the thick filaments. The portion of the thin filaments that cross over the thick filaments is also included. The I band is formed by the remaining thin filaments within the sarcomere but not by any thick filaments. Each A band has a narrow region in the middle called the H zone, which is made up entirely of dense filaments.

Myosin heads pull the thin filaments in the direction of the M line during muscle contraction. Because of this, the thin filaments glide inward, allowing their ends to overlap and connect at the sarcomere's core. The I band and H zone become smaller as a result.

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El precio unitario del terreno rectangular es $ 32 por cada metro cuadrado.

Tenemos un terreno rectangular con dimensiones y costo total conocido. El área de un rectángulo (A), en metros cuadrados, es igual al producto de su largura (l), en metros, y su anchura (a), en metros, cuya fórmula se presenta a continuación:

A = a · l

El precio del metro cuadrado se obtiene dividiendo el precio del terreno por su área:

A = (17.50 m) · (15.60 m)

A = 273 m²

c = C / A

c = 8736 / 273

c = $ 32 / m²

El precio unitario del terreno rectangular es $ 32 por cada metro cuadrado.

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Fiber optic  type of cable is uses a two-number designator consisting of core and cladding measurements.

What does fiber optics serve?

What methods are used to deploy fiber optics?

Can fiber optics compete with the internet?

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