Last year, wind turbines along a hilly ridge had an average output of 390 kilowatt hours per
year. The turbines were upgraded, and now their average annual output is 30% more. What
is the new average yearly output?
kilowatt hours
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Step-by-step explanation: (5√5)−2x+1=

1

5

(125x)−3

0.008x+1=

1

5

(125x)−3

Step 1: Flip the equation.

1

5

(125x)−3=0.008x+1

Step 2: Add 3 to both sides.

1

5

(125x)−3+3=0.008x+1+3

1

5

(125x)=0.008x+4

Step 3: Divide both sides by 1/5.

1

5

(125x)

1

5

=

0.008x+4

1

5

125x=0.04x+20

The  value of x is 46.

Exponents and powers can be used to represent extremely big or extremely small numbers in a more straightforward fashion.

The number of times a number is multiplied by itself is defined by the exponent. The power is an expression that displays the same number or factor being multiplied repeatedly.

Given:

[tex](5\sqrt{5} )^{-2x+1 }= 1/5 * 125^{x-3}[/tex]

ow, using exponents and powers

[tex](5\sqrt{5} )^{-2x+1 }= 1/5 * 125^{x-3}[/tex]

[tex](5\sqrt{5} )^{-2x+1 }= 1/5 * 5 ^{3(x-3)\\[/tex]

[tex](5\sqrt{5} )^{-2x+1 }= 5^{3x - 9 - 1}[/tex]

[tex](5\sqrt{5} )^{-2x+1 }= 5^{3x -10}[/tex]

[tex]5^{3/2(-2x+ 1)}= 5^{3x - 10}[/tex]

[tex]5^{-x+ 3/2}= 5^{3x -10}[/tex]

Now, Comparing

-x+ 3/2 = 3x- 10

-x - 3x = -10 - 3/2

-4x = -23/2

x= 46

Hence, the value of x is 46.

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Answer:

Find the Circumference!

Step-by-step explanation:

Finding the circumferenfe is pretty simple!

On this question, it looks like the diameter is 14!

take the circumference and divide it by 2

14/2

Take the answer and multiply it by PI (3.14).

7 * 3.14 = 21.98

Answer:

its C. 1/5

Answer: If Percentage decrease % = 20%, (1 - Percentage decrease %) = 1 - 20% = 100/100 - 20/100 = 80/100 = 0.8 => Percentage decreased number = 0.8 × Initial value

Step-by-step explanation: Number 100 decreased by 20% (20 percent) of its value (percentage decrease) and calculated absolute change (actual difference)

Answer:

[tex]y=5x[/tex]

Step-by-step explanation:

Insert the information into the point-slope formula to find slope-intercept form.

[tex]y-y_1=m(x-x_1)\\\\y-5=5(x-1)\\\\y-5=5x-5\\\\y=5x[/tex]

Answer:

x=11/17

Step-by-step explanation:

determine the defined range

11/x  17

11/x =17 then x is canceled out  

11=17x

17x=11 dividing both sides

x=11/17

Answer: A. True.

Step-by-step explanation:

A relationship is linear when the points on a scatterplot follow a somewhat straight line pattern. This is the relationship that we will examine. Linear relationships can be either positive or negative. Positive relationships have points that incline upwards to the right. As x values increase, y values increase.

Answer:

Heigh <= 63

Width <= 56

Length <= 61

Step-by-step explanation:

Height: x+7

Width: x

Length: x + 5

(x + 7) + (x) + (x + 5) <= 180 cm^3

3x + 12<= 180

3x <= 180-12

x <= 168/3

x <= 56

Justin’s average speed on his was from Hyannis to Dennisport will be [tex]20[/tex] miles per hour and average speed on his trip from Boston to Dennisport will be [tex]35\frac{5}{9}[/tex] miles per hour.

Average speed is s the total distance traveled by the object in a particular time interval.

Average speed [tex]=\frac{Total\ Distance}{Total\ Time}[/tex]

We have,

Distance from Boston to Hyannis [tex]=70[/tex] miles

Time from Boston to Hyannis [tex]=1\ hr\ and \ 45\ minutes = 105\ minutes[/tex]

Distance from Hyannis to Dennisport [tex]=10[/tex] miles

Time from Hyannis to Dennisport [tex]=30[/tex] minutes

So,

Total distance travelled [tex]=70+10=80[/tex] miles

Total time taken [tex]=105+30=135\ minutes[/tex]

                             [tex]= \frac{135}{60} \ hours= \frac{9}{4}\ hours[/tex]

So,

Average speed on his was from Hyannis to Dennisport [tex]= \frac{10}{\frac{30}{60} }[/tex]

                                                                                            [tex]=\frac{60}{3}=20[/tex] miles per hour

And,

Average speed on his trip from Boston to Dennisport [tex]=\frac{80}{\frac{9}{4} }[/tex]

                                                                                          [tex]=35\frac{5}{9}[/tex] miles per hour

Hence, we can say that Justin’s average speed on his was from Hyannis to Dennisport will be [tex]2[/tex]miles per hour and average speed on his trip from Boston to Dennisport will be [tex]35\frac{5}{9}[/tex] miles per hour.

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Answer:

$2,100

Step-by-step explanation:

'regular' pay is 375/10 or $37.50 per hour

'time-and-a-half' would be 37.50 + 18.75 = $56.25 per hour

'double time' would be (2)37.50 = $75.00

35 hours in 2 weeks and 7 hours at 'double time' and 28 at 'time-and-a-half'

so:

(7)75 + (28)56.25 = 525 + 1575

Total overtime pay for 2-week period is $2,100

Answer:

twice the difference gives 2(difference). 7 = 14  20 = 40

Step-by-step explanation:

La expresion que podemos utilizar para encontrar el valor de los lados del cuadrado :

R = [tex]\sqrt{x^{2}+16x+64}[/tex]

Answer:

1/2

Step-by-step explanation:

b is directly proportional to h.

b = kh

take any (h, b) point

using (28, 14)

14 = k(28)

Divide both sides by 28

1/2 = k

1/2

Answer:

True A. angles one and five are corresponding angles.

True B. angles three and six are alternate interior angles.

False C. angles two and seven are alternate interior angles.

Angles two and seven are alternate exterior angles.

False D. angles five and eight are alternate exterior angles.

Angles five and Eight are verticle angles.

False E. angles two and four are same-sided consecutive angles.

Angles two and four are supplementary angles

True F. angles four and six are same side consecutive angles.

True G. angles one and eight are alternate exterior angles.

Answer:

8  5/9

Step-by-step explanation:

6 1/3 + 2 2/9

Get a common denominator of 9

6 1/3 *3/3  + 2 2/9

6 3/9 + 2 2/9

8  5/9

Answer:

10

Step-by-step explanation:

The value of P(x<6) is 1/2.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

We have,

The numbers 0,1,2,3,4,5,6,7,8,9 is written on a piece of paper in a jar.

So, P(x<6)

= P(x=5)+ P(x = 4)+ P(x=3) + P(x=2) + P(x=1)

= 1/10 + 1/10+ 1/10 + 1/10 + 1/10

= 5/10

= 1/2

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Answer:

The age is 7

Step-by-step explanation:

Devaughn's age is two times Sydney's age

and the sum of their ages is ? Let’s Sydney's age is X, Devaughn's age is (2X+X=21)

Therefore 3X=21

Rearranged is X= 21 divide 3

Therefore Sydney’s age is 7

Answer:

D  [tex]\sqrt{x+4}[/tex]

Step-by-step explanation:

Answer:

120 bananas

Step-by-step explanation:

$20 = 2000 cents

Create a proportion:  

Cross multiply, then divide: 3 × 2000 = 6000, 6000 ÷ 50 = 120

So, you can buy 120 bananas for $20

hope this helps

Here according to angle sum property all angles sum u up 180°

So,

[tex]8x + 2 + 60 + 70 = 180 \\ 8x + 132 = 180 \\ 8x = 180 - 132 \\ 8x = 48 \\ x = \frac{48}{8} \\ x = 6[/tex]

- BRAINLIEST answerer

Answer:

$ 1.94

Hope I helped

Answer:

763.4 ft^3 to the nearest tenth.

Step-by-step explanation:

The base radius = 1/2 * 18 = 9 ft.

The volume = π r^2 h

=  π * 9^2 * 3

= 763.407 f^3.

Answer:

7/10

9/10 - ____ = 2/10

9 - 7 = 2

So, 9/10 - 7/10 = 2/10 or 1/5

Step-by-step explanation:

Answer:

The selling price cost 472.5

Step-by-step explanation:

Let's find the profit first.

To find that, let's turn 5% to decimal form.

5 % = 0.05

Then, lets multiply it to the initial price which is 450

450 * 0.05 = 22.5

So the profit costs 22.5

Now, let's add the profit to the initial cost to find the selling price

450 + 22.5 = 472.5

That's it.

Answer:

x + 4 < 27

-4. -4

x > 24

Step-by-step explanation:

put lines under signs