Rectangle with area of 12 square units is dilated by a scale factor of 3. What is the area?
1 answer:
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Answer:
Electricity bill is 175
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Step-by-step explanation:
Given
monthly
Required
Determine the electricity bill
If each roommate pays 425, then 5 roommates pay 5 * 425
This implies that: the monthly cost of room, gas and electricity add up to 2125.
In other words,
<em>Hence, the electricity bill is 175</em>
Given that the height of a object thrown within a gravitational field is given as a quadratic equation in time, <em>t</em>, the time at which the object is at a specified height can be found by the quadratic formula
The values of, <em>t</em>, for which the height of the rocket is 82 feet are;
t = 12.21 seconds or t = 0.42 seconds
Question: <em>Parts of the question that appear missing but can be found online are (i) To find the values of the time, t, when the rocket's height is 82 feet and round answers to the nearest hundredth</em>
The known parameters of the rocket are;
The initial upward velocity of the rocket, v = 202 ft./s
The given function representing the height, <em>h</em>, (in feet) after <em>t</em> seconds is presented as follows;
H = 202·t - 16·t²
The unknown;
The time for which the height of the rocket is 82 feet
Method;
Substitute H = 82 feet in the height function equation and solve for <em>t</em> as follows;
When H = 82, we get;
82 = 202·t - 16·t²
Therefore;
16·t² - 202·t + 82 = 0
Dividing the above equation by <em>2</em> gives;
(16·t² - 202·t + 82)/2 = 0/2
8·t² - 101·t + 41 = 0
By using the quadratic formula, we get;
Therefore, the values of <em>t</em> given by rounding off to the nearest hundredth are;
t = 12.21 or t = 0.42
The values of the time, <em>t</em>, at which the height of the rocket is 82 feet are t = 12.21 seconds or t = 0.42 seconds
Learn more about equation models of height as a function of time here;
Answer:
b. 8,800,000.
Step-by-step explanation:
In maria study the number of cars on the road increases by 10% each year.
Total number of cars in the first year =80 million cars.
We will add 10% of 80 million to 80 milion to enable us get the number of cars for the second year.
For year 2 we have;
10% of 80,000,000+80,000,000
8,000,000 + 80,000,000
88,000,000
number of cars in year 2 = 88 million
We will add 10% of 88 million to 88 milion to enable us get the number of cars for the third year.
8,800,000+88,000,000
96,800,000
the number of cars on the road in year 3 compared to year 2 will just be the increase which is in BOLD. That is 8,800,000
<em>or simply subtract the number of cars in year 2 from that in year 3;</em>
96,800,000-88,000,000 = 8,800,000