the utility industry has 428.5 thousand jobs in 2010 and is expected to decline at an average rate of 3 thousand jobs per year from 2010 to 2020 assuming this holds true what will be the utilities percent change for 2010 to 2020​

Answer:

1 story=26, 2 stories=13 3 stories= 8.666666 4 stories= 6.5 5 stories=5.2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since the triangle is a right angled triangle we can use Pythagoras theorem to find the missing side x

Using Pythagoras theorem we have

c² = a² + b²

where

c is the hypotenuse

From the question x is the hypotenuse

So we have

We have the final answer as

Hope this helps you

Answer:

Cost price= Rs. 15

Step-by-step explanation:

Please see attached picture for full solution.

Answer:

1) [tex]50=2(x+5)+2(x)[/tex]

2) [tex]x=10[/tex]

3) [tex]15\text{ units}[/tex]

Step-by-step explanation:

So we know that the perimeter of the rectangle is 50.

The formula for the perimeter of a rectangle is given by:

[tex]P=2l+2w[/tex]

Where l is the length and w is the width.

The length is (x+5) and the width is (x).

Thus, substitute (x+5) for l and (x) for w. Also substitute 50 for P. Therefore:

[tex]50=2(x+5)+2(x)[/tex]

And that's our equation.

To solve, first distribute:

[tex]50=2x+10+2x[/tex]

Combine like terms:

[tex]50=4x+10[/tex]

Subtract 10 from both sides:

[tex]40=4x[/tex]

Divide everything by 4:

[tex]x=10[/tex]

So, the value of x is 10.

The length is the longer side. Thus, it is (x+5).

We now know that x is 10, substitute:

[tex]x+5\\=(10)+5\\=15[/tex]

So, the length is 15 units.

Answer:

Below

Step-by-step explanation:

The perimeter of a rectangle is the sum of its 4 sides.

Let P be the perimeter

● P = x + (x+5) + x + (x+5)

● P = x+x+x+x+5+5

The perimeter is 50 units

● 50 = 4x +10

So this the equation that would model how to find x.

Let's solve it

● 4x + 10 = 50

Substract 10 from both sides

● 4x + 10 - 10 = 50-10

● 4x = 40

Divide both sides by 4

● 4x/4 = 40/4

● x = 10

■■■■■■■■■■■■■■■■■■■■■■■■■■

Let's find the length.

The length is x+5

Replace x by 10 to find the value of the length.

● 10 + 5 = 15

So the length is 15 units

The 8 is a, the 3 is b and -45 is c

Plug them into the quadratic formula

Answer:

It means [tex]\sum_{n=1}^\inf} = \frac{7n^2-4n+3}{12+2n^6}[/tex] also converges.

Step-by-step explanation:

The actual Series is::

[tex]\sum_{n=1}^\inf} = \frac{7n^2-4n+3}{12+2n^6}[/tex]

The method we are going to use is comparison method:

According to comparison method, we have:

[tex]\sum_{n=1}^{inf}a_n\ \ \ \ \ \ \ \ \sum_{n=1}^{inf}b_n[/tex]

If series one converges, the second converges and if second diverges series, one diverges

Now Simplify the given series:

Taking"n^2"common from numerator and "n^6"from denominator.

[tex]=\frac{n^2[7-\frac{4}{n}+\frac{3}{n^2}]}{n^6[\frac{12}{n^6}+2]} \\\\=\frac{[7-\frac{4}{n}+\frac{3}{n^2}]}{n^4[\frac{12}{n^6}+2]}[/tex]

[tex]\sum_{n=1}^{inf}a_n=\sum_{n=1}^{inf}\frac{[7-\frac{4}{n}+\frac{3}{n^2}]}{[\frac{12}{n^6}+2]}\ \ \ \ \ \ \ \ \sum_{n=1}^{inf}b_n=\sum_{n=1}^{inf} \frac{1}{n^4}[/tex]

Now:

[tex]\sum_{n=1}^{inf}a_n=\sum_{n=1}^{inf}\frac{[7-\frac{4}{n}+\frac{3}{n^2}]}{[\frac{12}{n^6}+2]}\\ \\\lim_{n \to \infty} a_n = \lim_{n \to \infty} \frac{[7-\frac{4}{n}+\frac{3}{n^2}]}{[\frac{12}{n^6}+2]}\\=\frac{7-\frac{4}{inf}+\frac{3}{inf}}{\frac{12}{inf}+2}\\\\=\frac{7}{2}[/tex]

So a_n is finite, so it converges.

Similarly b_n converges according to p-test.

P-test:

General form:

[tex]\sum_{n=1}^{inf}\frac{1}{n^p}[/tex]

if p>1 then series converges. In oue case we have:

[tex]\sum_{n=1}^{inf}b_n=\frac{1}{n^4}[/tex]

p=4 >1, so b_n also converges.

According to comparison test if both series converges, the final series also converges.

It means [tex]\sum_{n=1}^\inf} = \frac{7n^2-4n+3}{12+2n^6}[/tex] also converges.

Answer:

-8

Step-by-step explanation:

+-8 = -8

+-6 = -6

then:

4 + 2 + -8 + -6 = 4 + 2 - 8 - 6  =  6 - 14

= -8

Answer:

-8

Step-by-step explanation:

Therefore, the answer is -8.

Answer:100%

Step-by-step explanation: Think about it for a second S-ea-n w-a-nts t-o e-a-t a-t o-liv-e g-a-rd-e-n their are vowels in every word

Answer:12/27

Step-by-step explanation:there are 12 vowels in the phrase so the probability is 12:27 or 4:9 (you can write these as fractions too, numerators are on the left)

Answer:

35m³ + 33m² - 38m - 6

Step-by-step explanation:

simplify ( 7m + 1 )( 5m^2 + 4m - 6 )

= 7m * 5m² + 7m * 4m - 7m * 6 + 5m² + 4m - 6

=7 * 5mm² + 7 * 4mm - 7 * 6m + 5m² + 4m

= 35m³ + 33m² - 38m - 6

Answer:

[tex]w=2[/tex]

Step-by-step explanation:

So we have the equation:

[tex]9w-4=14[/tex]

Add 4 to both sides. The left cancels:

[tex](9w-4)+4=(14)+4\\9w=18[/tex]

Divide both sides by 9.The left cancels:

[tex](9w)/9=(18)/9\\w=2[/tex]

So, the value of w is 2.

And we're done :)

Answer:

1,249 cm or 12.49

Whichever one it asks for

Step-by-step explanation:

First, we need to convert all of the m to cm.

4.04 m = 404 cm

1.6 m = 160 cm

2.87 m = 287 cm

Next, add them all up.

325 + 404 + 73 + 160 + 287 =

1,249 cm

If it asks to convert to m again, then the answer would be 12.49 m

Hope this helps!!!

Answer:

1,249 cm (or) 12.49 m

Step-by-step explanation:

1m = 100cm

4.04m = 404cm

1.6m = 160 cm

2.87m = 287 cm

So, 325 + 404 + 73 + 160 + 287 = 1,249 cm

If u want the answer in meters, [tex]\frac{1249}{100}[/tex]

So, it will be 12.49 m

Answer:

Factor to this equation out, the easiest way is to solve for the two x values that add up to -1 but when multiplied is equal to -6. It should look like this: (x +- ?)(x +- ?).

The factored out form is then (x - 3)(x +2), because -3 + 2 = -1 and when multiplied together gives -6.

x - 3 = 0

x = 3

x + 2 = 0

x = -2

The two solutions are therefore, x = 3 and x = -2.

Answer:

B.) (-202)+(-12)

Step-by-step explanation:

The undersea level is negative then going under again will produce a completely negative answer.

Answer:

The confidence interval = (7.8 , 8.0)

Step-by-step explanation:

Confidence Interval formula =

Mean ± z × Standard deviation/√n

Mean = 7.9

Standard deviation = 0.9

n = number of samples = 164

z = z score of an 80% confidence interval = 1.282

Confidence Interval = 7.9 ± 1.282 × 0.9/√164

= 7.9 ± 0.0900966432

Confidence Interval

= 7.9 - 0.0900966432

= 7.8099033568

Approximately to 1 decimal place = 7.8

7.9 + 0.0900966432

= 7.9900966432

Approximately to 1 decimal place = 8.0

Therefore, the confidence interval = (7.8 , 8.0)

Answer:

afdgdfdf

Step-by-step explanation:

Answer:

its going up by 1 each time theres a new number so next youll multiply 4 by 120 which is 480

Step-by-step explanation:

Answer:

1/3 of the gas.

Step-by-step explanation:

1 - 1/2 = 1/2

1/3 - 3/3 = 2/3

2/3 ( 1/2 ) = 1/3

The amount of gas left with Jess is given by the equation A = 1/6 of the total gas

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total amount of the gas be represented as A

Now , the equation will be

The amount of gas utilized by Jess on Friday = 1/2 of the initial gas

So , The amount of gas left on Friday = A - ( 1/2 ) A

On simplifying the equation , we get

The amount of gas left on Friday = ( 1/2 )A

Now ,

Amount of gas utilized by Jess on Saturday = ( 1/3 ) of the remaining gas

On simplifying the equation , we get

The remaining gas = ( 1/2 ) A - ( 1/3 ) A

So , the remaining amount of gas with Jess = ( 1/6 ) of the total gas

Hence , the equation is ( 1/6 ) of the total gas is remaining

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=====================================================

Explanation:

Apply the distance formula.

[tex]d = \sqrt{ (x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{ (-1-1)^2+(4-(-1))^2}\\\\d = \sqrt{ (-1-1)^2+(4+1)^2}\\\\d = \sqrt{ (-2)^2+(5)^2}\\\\d = \sqrt{ 4+25}\\\\d = \sqrt{ 29}\\\\d \approx 5.38516\\\\d \approx 5.39\\\\[/tex]

You could also use the pythagorean theorem which is what the distance formula is based off of.

Answer:

See below

Step-by-step explanation:

We can simply use a graphing calculator to carry it out.

See the attached file for more explanation!

Another way is that we can take the values of x as 1,2 and 3 and so on and put it in the equation to get the value of y. We have some coordinates now so we'll plot them in the graph to get the line of y = 2x+5.

Step-by-step explanation:

Hope this helps........

Answer:

(1/2)(3v+28)

Step-by-step explanation:

of= multiply

sum= add

Could it be (3v +28)/2

Answer:

26

Step-by-step explanation:

2x + 18

2(4) + 18

8 + 18

26

Answer:

26

Step-by-step explanation:

We just substitute the value of X and find the answer

Answer:

Step-by-step explanation:

It can be helpful to understand what the square of a binomial looks like:

  (a +b)² = a² +2ab +b²

The middle term on the right is twice the product of the terms in the original binomial on the left.

Here, we want to use this relationship to find "b" when we're given "2ab". We recognize that "b" is half the coefficient of "a" in 2ab.

Choosing a value for b² to turn the sum (a² +2ab) into the trinomial (a² +2ab +b²) is called "completing the square" because that trinomial can now be written as the square (a+b)².

__

The standard form equation of a circle with center (h, k) and radius r is ...

  (x -h)² +(y -k)² = r²

In order to find the center and radius of the circle from the given equation, you're expected to rewrite the equation in this form. You do that by "completing the square" for both x-terms and y-terms.

__

Given

  x² +y² +6x -8y -25 = 0

Regrouping, we have ...

  (x² +6x) +(y² -8y) = 25

Adding the squares of half of 6 and half of -8, we can write this as ...

  (x² +6x +3²) +(y² -8y +(-4)²) = 25 +3² +(-4)²

And writing the trinomials as squares gives us ...

  (x +3)² +(y -4)² = 50 = (5√2)²

Comparing this to the standard form equation above, we see that ...

  (h, k) = (-3, 4)

  r = 5√2

__

The radius is 5√2.

The center is (-3, 4).

__

The attachment shows that the original equation draws a circle with center (-3, 4) and through points that are 5 units horizontally and vertically from the center, such as the point (2, -1). That is, the radius is 5√2.

Answer:

8.7+5.22=13.92

Hope it helps you...

Answer:

13.92

Step-by-step explanation:

Answer:

 C.No, because each lime will cost a bit more than 30¢, so 4 limes will cost a bit more than $1.20.Step-by-step explanation:

The unit price of the 8 limes is $0.25 per lime.

The given expression:

The selling price for 8 limes = $2.00

To find:

The unit price of the lime is calculated by dividing the total selling price by the total number of limes purchased.

[tex]unit \ price = \frac{total \ amount \ paid \ for \ 8 \ limes }{8 \ limes } \\\\unit \ price =\frac{\$ \ 2}{8 \ limes } \\\\unit \ price = (\frac{1}{4} ) \frac{\$}{lime} \\\\unit \ price = \$0.25 \ per \ lime[/tex]

Thus, the unit price of the 8 limes is $0.25 per lime.

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Answer:

B.  2x² + x² + x = 30

D.  9x + 3x² = 14 + x - 1

Step-by-step explanation:

2x² + x² + x = 30

simplify

3x² + x - 30 = 0

x can be solve using quadratic equations

x = 3    and x = -10/3

so the answer is B

9x + 3x² = 14 + x - 1

simplify

3x² + 8x - 13 =0

x can be solve using quadratic equations

so the answer is D

Note: options A and C do not qualify for quadratic equation

The solution is Option B , Option D.

The set of quadratic equations are 2x² + x² + x = 30 and 9x + 3x² = 14 + x -1

A 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 roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

where ( b² - 4ac ) is the discriminant

when ( b² - 4ac ) is positive, we get two real solutions

when discriminant is zero we get just one real solution (both answers are the same)

when discriminant is negative we get a pair of complex solutions

Given data ,

Let the quadratic equation be represented as A

Now , the value of A is

a)

2x² + x² + x = 30   be equation (1)

On simplifying the equation , we get

3x² + x = 30

Subtracting 30 on both sides of the equation , we get

3x² + x - 30 = 0

Now , on factorizing the equation , we get

x = 3 and x = -10/3

b)

9x + 3x² = 14 + x -1   be equation (1)

On simplifying the equation , we get

Subtracting x on both sides of the equation , we get

3x² + 8x = 13

Subtracting 13 on both sides of the equation , we get

3x² + 8x - 13 = 0

Now , on factorizing the equation , we get

x = ( -4/3 ) ± ( √55/3 )

Hence ,

The quadratic equations are 2x² + x² + x = 30 and 9x + 3x² = 14 + x -1

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Answer:

0.1354

Step-by-step explanation:

Relevant data provided as per the requirement is shown below:-

Female probability of age between 55 to 69 = 2058

Male probability of age between 55 to 69 = 4571

According to the given situation, the calculation of probability is shown below:-

[tex]= \frac{Female\ from\ 55\ to\ 69 }{Total\ female}[/tex]

where,

Total female is

= 143 + 2333 + 4027 + 5178 + 2058 + 1459

= 15,198

And, the female is 2058

So, the probability is

[tex]= \frac{2058}{15,198}[/tex]

= 0.1354

Therefore for computing the probability of female that lies between 55 to 69 we simply applied the above formula.

Answer:

320

Step-by-step explanation:

There are 320 tens in 3,200.

320 x 10 = 3200

Answer:

320

Step-by-step explanation:

3200/10=320

Answer:

x=14 z=72

Step-by-step explanation:

(8x-40)+(12x-60)=180

20x-100=180

20x=280

x=14

(12x-60)+z=180

(168-60)+z=180

108+z=180

z=72

Answer:

Step-by-step explanation:

A∩B=[-54,-42]∪[-25,70]