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kykrilka [37]
2 years ago
15

A model house that runs completely on renewable energy uses 2 windmills and 3 solar panels each windmill generates M kilowatt ho

urs(kWh)of energy per year and each solar panel generates a kWh per year which expressions can we use to describe how many kWh of energy the model house will output in 10 years
Mathematics
2 answers:
kozerog [31]2 years ago
8 0

Answer:

y=(20M+30S) kwh

Step-by-step explanation:

Since each windmill generates M kwh then for ywo windmills, each year they will generate 2 M kilowatt hours

For solar panels, since each generates S kilowatts annually then for 3 of them, the power will be 3 S

Total production per year will be 2M+3S

In n years, the energy will be y(n)=(2M+3S)n

When n is 10 years then

y(10)=(2M+3S)10=20M+30S

Therefore, y=(20M+30S)kwh

Pepsi [2]2 years ago
4 0

Answer:

1.) 20M+30S

2.) 10(2M+3S)

Step-by-step explanation:

I got the question right on khan academy.

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Which of the following explains how ΔAEI could be proven similar to ΔDEH using the AA similarity postulate?
umka2103 [35]

Answer:

∠AEI ≅ ∠DEH because vertical angles are congruent; rotate ΔHED 180° around point E, then translate point D to point A to confirm ∠IAE ≅ ∠HDE.

Step-by-step explanation:

tbh im not suuper sure but my educated guess is that by looking at it. Good Luck!

4 0
2 years ago
List the first five terms of the sequence. a1 = 4, an+1 = 5an − 3
RUDIKE [14]

The recursive formula

a_{n+1} = 5a_n-3

is telling you that the next term in the sequence is five times the previous one, minus 3.

So, if we start with a_1=4, we have to multiply it by 5 and subtract 3 to get the next:

a_2 = 5a_1-3 = 5\cdot 4 - 3 = 20-3 = 17

And similarly we can obtain all the next terms:

a_3 = 5a_2-3 = 5\cdot 17 - 3 = 85-3 = 82

a_4 = 5a_3-3 = 5\cdot 82 - 3 = 410-3 = 407

a_5 = 5a_4-3 = 5\cdot 407 - 3 = 2035-3 = 2032

5 0
2 years ago
A rectangular prism has a length of 4.2 cm, a width of 5.8 cm, and a height of 9.6 cm. A similar prism has a length of 14.7 cm,
grigory [225]

Answer: 3.5

Step-by-step explanation:

Given: Dimensions of larger prism = length of  4.2 cm, a width of 5.8 cm, and a height of 9.6 cm.

Dimensions of smaller prism = length of 14.7 cm, a width of 20.3 cm, and a height of 33.6 cm.

Scale factor = \dfrac{\text{Size of image}}{\text{Size of original figure}}

Since, smaller figure is the original figure and the bigger one is the image.

So, scale factor = \dfrac{14.7}{4.2}=3.5  [Taking lengths

Hence, the factor to produce the corresponding dimensions of the larger prism = 3.5

5 0
2 years ago
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Gabriel is saving money by mowing lawns on the weekends. Last month, he saved $150. This month, saved 20% more than he saved las
Katyanochek1 [597]

Answer:

180

Step-by-step explanation:

so last month he saved 150 right first you find 20% of 150. that is 30. you add 150 and 30 and get 180.

3 0
2 years ago
Read 2 more answers
List 3 rational numbers between 3 and 3.9
antiseptic1488 [7]

Answer:

its not showing up

Step-by-step explanation:

5 0
2 years ago
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