The utility industry had 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 utility’s percent change from 2010 to 2020?

Answer:

see below

Step-by-step explanation:

2/3 +y =1/4

Subtract 2/3 from each side

2/3-2/3 +y =1/4-2/3

y = 1/4 -2/3

Get a common denominator

y = 1/4 (3/3) - 2/3 *4/4

  = 3/12 - 8/12

  =-5/12

or if

2/(y+3) = 1/4

Using cross products

y+3 = 2*4

y+3 = 8

y =8-3

y = 5

Answer:

y = -5/12

Step-by-step explanation:

2/3 + y = 1/4

y = 1/4 - 2/3

y = 3 - 8/ 12

y = -5/12

Answer:

4

Step-by-step explanation:

[tex]sin(\theta)=\frac{opposite}{hypotenuse}=\frac{1}{\sqrt{3} }\\ \\Therefore, opposite= 1, hypotenuse=\sqrt{3}. \ using \ Pythagoras:\\\\Hypotenuse^2=Adjacent^2+Opposite^2\\\\(\sqrt{3})^2 =Adjacent^2+1^2\\\\3=Adjacent^2+1\\\\Adjacent^2=3-1=2\\\\Adjacent=\sqrt{2}[/tex]

[tex]cos(\theta)=\frac{adjacent}{hypotenuse}=\frac{\sqrt{2} }{\sqrt{3}}\\ \\tan(\theta)=\frac{opposite}{adjacent } = \frac{1}{\sqrt{2}} \\\\Therefore:\\\\(tan(\theta)+\frac{1}{cos(\theta)})^2+ (tan(\theta)-\frac{1}{cos(\theta)})^2=( \frac{1}{\sqrt{2}}+\frac{1}{ \frac{\sqrt{2} }{\sqrt{3}}} )^2+( \frac{1}{\sqrt{2}}-\frac{1}{ \frac{\sqrt{2} }{\sqrt{3}}} )^2\\\\=( \frac{1}{\sqrt{2}}+ \frac{\sqrt{3} }{\sqrt{2}} )^2+( \frac{1}{\sqrt{2}}- \frac{\sqrt{3} }{\sqrt{2}} )^2[/tex]

[tex]=(\frac{1+\sqrt{3} }{\sqrt{2} } )^2+(\frac{1-\sqrt{3} }{\sqrt{2} } )^2=\frac{1+2\sqrt{3}+3 }{2} +\frac{1-2\sqrt{3}+3 }{2} =\frac{1+1+2\sqrt{3}-2\sqrt{3}+3+3 }{2} =\frac{8}{2}=4[/tex]

Answer:

1/2 - 3(1/2 + 1)²

simplify the expression (1/2 + 1)

1/2 - 3•(3/2)²

using PEMDAS, we see we have to evaluate the exponent first

(3/2)² = 9/4

rewrite the equation

1/2 - 3 • (9/4)

multiply 3 by (9/4)

1/2 - (27/4)

subtract

-25/4

(1 + 1/3)² - 2/9

simplify the expression (1 + 1/3)

(4/3)² - 2/9

using PEMDAS, we see we have to evaluate the exponent first

(4/3)² = 16/9

rewrite the equation

(16/9) - (2/9)

subtract

14/9

Answer:

x = 4

Step-by-step explanation:

Given

2(3x - 5) = 2x + 6 ( divide both sides by 2 )

3x - 5 = x + 3 ( subtract x from both sides )

2x - 5 = 3 ( add 5 to both sides )

2x = 8 ( divide both sides by 2 )

x = 4

Answer:

x = 4

Step-by-step explanation:

2(3x - 5) = 2x + 6

expand- 2(3x-5):6x+10

6x-10= 2x+6

Add 10 to both sides

6x-10+10=2x+6+10

simplify

6x=2x+16

subtract 2x from both sides

6x-2x=2x+16-2x

simplify

4x=16

divide  both sides by 4

4x/4=16/4

x=4

Answer:

C

Step-by-step explanation:

sin30° = y/6

sin30° = 1/2

y/6 =  1/2

y = 3

Answer:

Step-by-step explanation:

A recipe for 1 loaf of bread calls for 2 cups of flour, 12 tablespoons of water and 1 teaspoon of salt.

Therefore, if we add 2 loaves of bread then double of ingredients will be required for the recipe.

In the same way if 4 loaves of bread have been added, 4 times ingredients will be required.

If 3 cups of flour are added then 3 times of other ingredients will be required.

So the table will be,

Number of loaves   Cups of flour   Tablespoons of water    Teaspoons of salt

         1                             2                        12                                1

         2                             4                       24                                2

         4                             8                       48                                4

         3                             6                       36                                3

Answer: 4

Step-by-step explanation:

Answer:

there are 5 significant digits

Answer:

(22/7)²

576/49

is your answer hope it's help u

Answer:

A technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output...

Answer:

2+7=9

450/9 = 50

2( 50) = 100 no concentrate

7(50) or 450 - 100 = 350 ml water

Answer:

Step-by-step explanation:

area of triangle = 1/2 × b × h

here,

b = 37 m

h = 30 m

so area = 1/2 × b × h

= 1/2 × 37 × 30

= 555 m^2

hope this helps

plz mark as brainliest!!!!!!!

Answer:

D. 384 units²

Step-by-step explanation:

Hey there!

Well a right square prism's bases are squares meaning the area of the base is 64 units².

Meaning 128 "which is the sum of 64+64" needs to be taken out of the SA to find the LSA.

Now we only have 4 sides to find the area of,

h = 12

l/w = 8

A = (12*8) * 4

A = 96 * 4

LSA = 384 units²

Hope this helps :)

The lateral surface area of the given prism of length 12 and its base has a side of length 8 is 384 [tex]units^{2}[/tex]

The lateral surface area of an object is the total area of its sides excluding its top and the bottom.

A right square prism is a prism having four sides as rectangle and two sides as squares as its bases.

The lateral surface area of right square prism is equal to the area of the four rectangles only. So the formula is as follows:

Lateral surface area=4(length*breadth)

The altitude which is given to us of 12 will be the breadth of the rectangles and the length of base of 8 will be the length of the rectangles. So,

Lateral surface area of right prism=4(12*8)

=4*96

=384

Hence the lateral surface area of right prism of altitude of length 12 and base has a side of length 8 is 384[tex]units^{2}[/tex]

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Answer:

UT + CV = 4x + 33

Step-by-step explanation:

Given:

TW = 14

WU = 2x + 2

VW = 2x + 5

WC = 12

Find:

UT + CV

Computation:

UT = TW + WU  

UT = 14 + 2x + 2 = 16 + 2x

CV = VW + WC

CV = 2x + 5 + 12 = 2x + 17

UT + CV

16 + 2x + 2x + 17

UT + CV = 4x + 33

Answer:

[tex]\huge\boxed{Slope = 3}[/tex]

Step-by-step explanation:

The coordinates are (5,6) and (6,9)

Slope = Rise / run

Slope = [tex]\frac{y2-y1}{x2-x1}[/tex]

Slope = [tex]\frac{9-6}{6-5}[/tex]

Slope = [tex]\frac{3}{1}[/tex]

Slope = 3

Answer:

[tex]slope = 3[/tex]

Hope this helps you

brainliest plz

Answer:

Step-by-step explanation:

[tex] \sf{2(6x - 1) = - 38}[/tex]

Distribute 2 through the parentheses

⇒[tex] \sf{12x - 2 = - 38}[/tex]

Move constant to right hand side and change it's sign

⇒[tex] \sf{12x = - 38 + 2}[/tex]

Calculate

⇒[tex] \sf{12x = - 36}[/tex]

Divide both sides of the equation by 12

⇒[tex] \sf{ \frac{12x}{12} = \frac{ - 36}{12} }[/tex]

Calculate

⇒[tex] \sf{x = - 3}[/tex]

Hope I helped!

Best regards!!

Answer:

Year 0 is represent the year that Gabe was born

Step-by-step explanation:

Gabe is mapping out important family events. He uses negative numbers to represent time before he was born and positive numbers to represent time after he was born. For example, Gabe's mom was given a special coin in year -20, and Gabe's sister was born in year 5. What does year 0 represent?

Answer: Positive numbers represent things that happen after Gabe was born while negative numbers represent things that happened before Gabe was born. The first example in the question meant that Gabe's mom was given a special coin 20 years before he was born while the second example in the question meant that Gabe's sister was born 5 years after he was born.

Year 0 is represent the year that Gabe was born.

Answer:

Length of sides of poster = 2 Ft

Length of sides of box = 2.41 Ft

Since the box has a longer side than the poster, the poster will lie flat when placed in the box.

Step-by-step explanation:

In order to determine if the poster will lie flat in the box or not, we will determine the length of the sides of the poster and the box, if the length of the side of the square poster is smaller than that of the box, it will lie flat. This is calculated as follows:

Area of poster = 4 square feet

Area of poster =  (Length)²

4 = (Length)²

∴ Length = √(4)

Length of poster = 2 Ft

Volume of box = 14 cubic feet

Volume of box = (Length)³

14 = (Length)³

∴ Length = ∛(14)

Length = 2.41 Ft

∴ Length of sides of poster = 2 Ft

Length of sides of box = 2.41 Ft

Since the box has a longer side than the poster, the poster will lie flat when placed in the box.

Answer:

0.0169 km.

Step-by-step explanation:

km - kilometers (One kilometer is equal to 1000 meters.)

dkm - dekameters (One dekameter is equal to 10 meters.)

cm - centimeters (One centimeter is equal to 0.01 meters.)

mm - millimeters (One millimeter is equal to 0.1 meters.)

Used a calc to check each of the values to see if they equal 1.69m and km was the one that wasn't equal. Instead it was 16.9.

Answer:

1.69 meter

Step-by-step explanation:

The exponential function represented by the table is given as follows:

[tex]y = 4\left(\frac{1}{2}\right)^x[/tex]

An exponential function is modeled by:

[tex]y = ab^x[/tex].

In which:

Considering the table:

Then the equation is:

[tex]y = 4\left(\frac{1}{2}\right)^x[/tex]

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Answer:

Step-by-step explanation:

A) 2x - 8

x is called variable

Option 2

B) 5 - 4x  is not a equation

Option 1

5,6 and6,5

Step-by-step explanation:

there is only two ordered pairs of 5,6that is itself and 6,5

Answer:

the two possible orders are 5,6 and 6, 5

Part A:

We need to divide

5 ÷ 2/3

5/1 ÷ 2/3

5/1 * 3/2

15/2 or 7 1/2 plates of nachos.

Part B:

If Rachel can make 7 1/2 plates of nachos with 5 cups of cheese we need to multiply and subtract.

ma2/3 * 9 = 18/3 or 6 cups of cheese to make 9 plates

6 - 5 = 1 more cup of cheese she needs to make 9 plates

Best of Luck!

Answer:

Step-by-step explanation:

a)L=2w+4

b)P=2L+2w

sub L=2w+4,

P=2(2w+4)+2w

P=4w+8+2w

P=6w+8

c) 20=6w+8

   12=6w

    2=w

L=2(2)+4

 =8

Hence,

L=8 and w=2

Answer:

Beto and Mark

Step-by-step explanation:

When you simplify Beto's equation, you get 0=5 which is inncorrect. 5 does not equal 0 so there are no solutions. When you simplify Mark's equation, you get 6=2 which is also inncorrect. 6 can not equal 2. If you solve the other 2 equations you get answers that can work.

Answer:

if he lost 5.9 in 3.3 months he we would lost weight.

5.9* 3.3 19.47lbs

Answer:

24

Step-by-step explanation

36-12=24

Its as simple as that.

A number plus 12 is 36. The equation for the given calculation is 36 - 12 = 24.

Arithmetic is the fundamental branch of mathematics that covers number operations. Addition, subtraction, multiplication, and division are the operations involved.

The difference between each consecutive term in an arithmetic series is constant. The series 3, 5, 7, 9..., for example, is arithmetic because the difference between consecutive terms is always two.

Because the difference between subsequent words is always negative five, the sequence 21, 16, 11, 6... is also arithmetic.

Let the number added to 12 is x

Then,

12 + x = 36

x = 36 - 12 = 24

Therefore, the equation for the given calculation is 36 - 12 = 24.

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Answer:

The equation for the variation is:

[tex]\frac{Miles}{thunder\,\,time } =0.2\,\frac{mi}{s}[/tex]

Step-by-step explanation:

The relationship is given by the quotient between the two variables: (1) distance of the storm, and (2) the number of seconds to hear the thunder. That is:

[tex]\frac{Miles}{thunder\,\,time } =\frac{2}{10} =0.2\,\frac{mi}{s}[/tex]

Answer:

acb

Step-by-step explanation:

The side across from the smallest angle will always be the smallest side. Since 58 is the smallest angle measure, side a must be the smallest. This pattern continues with the other side and angle pairs.