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erica [24]
3 years ago
12

In 1980, wind turbines in Europe generated about 5 gigawatt-hours of energy. Over the next 15 years, the amount of energy increa

sed about 59% (each year). How many gigawatt-hours were generated?
Mathematics
1 answer:
Zinaida [17]3 years ago
3 0
Well the equation could be, f(x)=5(1.59)^15
which would equal 5247
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A sailboat started his journey at 6:30 am and reached his destination at 11:45 pm.If the distance of the journey was 1276.5, wha
attashe74 [19]

Answer:

74 mph

Step-by-step explanation:

step 1

Find the total time

A sailboat started his journey at 6:30 am and reached his destination at 11:45 pm

so

from 6:30 am to 12:00 pm ----> there are 5 hours + 30 minutes=5.5 hours

from 12:00 pm to 11:45 pm ----> there are 11 hours + 45 minutes=11.75 hours

The total time is

5.5+11.75=17.25 hours

step 2

Find the average speed

we know that

The average speed is equal to divide the total distance by the total time

speed=\frac{1,276.5}{17.25}= 74\ mph

4 0
3 years ago
4 question in one 65 points
jeka94

Q6.

The slope-intercept form: y = mx + b

m - slope

b - y-intercept

We have: slope m = 3, y-intercept (0, 4) → b= 4

<h3>Answer: y = 3x + 4</h3>

Q7.

2x + 4y = 4     |subtract 2x from both sides

4y = -2x + 4     |divide both sides by 4

y = -0.5x + 1

Only second graph has y-intercept = 1.

<h3>Answer: The second graph.</h3>

Q8.

The point-slope form:

y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}

We have

(-16,\ 8)\to x_1=-16,\ y_1=8\\(4,\ -2)\to x_2=4,\ y_2=-2

Substitute:

m=\dfrac{-2-8}{4-(-16)}=\dfrac{-10}{20}=-\dfrac{1}{2}\\\\y-8=-\dfrac{1}{2}(x-(-16))\\\\y-8=-\dfrac{1}{2}(x+16)

<h3>Answer: The first equation.</h3>

Q9.

It's a vertical line. The equation of a vertical line is x = <em>a</em>, where <em>a</em> is any real number.

<h3>Answer: x = -4</h3>
6 0
3 years ago
Read 2 more answers
measure a and measure b are vertical angles with measure a = x and measure b = 4x - 30. what is measure a?
Zolol [24]

Answer:

∠a = 10°

Step-by-step explanation:

The measure of ∠a = x

The measure of ∠b = 4x-30

It is also mentioned that the measure a and measure b are vertical angles. We need to find the value of a.

For vertically opposite angles,

∠a = ∠b

x = 4x-30

or

4x-30=x

Taking like terms together,

4x-x= 30

3x = 30

x = 10

So, the meausre of ∠a is equal to 10°.

3 0
3 years ago
What is the range of possible sizes for side x
vladimir1956 [14]

Answer:

4<x<12

Step-by-step explanation:

8.0+4.0=12.0

8.0-4.0=4.0 or 4

5 0
2 years ago
Read 2 more answers
Solve 2 + 1/6y = 3x + 4 for y.
ruslelena [56]
The answer is y=18x+12
5 0
3 years ago
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