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Papessa [141]
3 years ago
15

What is the value of x? Enter your answer, as a decimal, in the box.

Mathematics
1 answer:
Vikki [24]3 years ago
6 0
Hi, thank you for posting your question.

This problem can be solved through ratio and proportion which can be applied to similar triangles like that shown in the figure. By ratio and proprotion,

MP/MN = MB/MA
81.9/67.2 = x/(67.2-32)

Thus, x = 42.9
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Write an example of an equation that’s represents exponential decay
seropon [69]

The equation for exponential decay is given as y = a(1 - r)^x.

<u>Explanation:</u>

The formula for original exponential decay is y = ab^x.

The growth rate (r) is determined as b = 1 + r.

The decay rate (r) is determined as b = 1 - r.

y = ab^x (Where b = 1 - r)

y = a(1-r)^x

a represents the initial value

r represents growth or decay rate

x represents the number of time intervals that have passed.

<em>For example</em>

The population of Home Town is 2016 was estimated to be 35,000 people with an annual rate of increase of 2.4%.

The equation for decay factor y = 35000(1 - 0.024)^x

y = 35000(0.976). (where x = 1)

7 0
3 years ago
Graph the line that contains the point (o,3) and has a slope of 1/2
Katyanochek1 [597]

Answer:

Step-by-step explanation:

y-3=1/2(x-0)=1/2 x

2y-6=x

2y-x=6

3 0
3 years ago
What is the value of n in the equation 1/2(n – 4) – 3 = 3 – (2n + 3)?
Travka [436]
Distribute 1/2 to <span>(n – 4):

</span>\frac{1}{2} \times n = \frac{1}{2}n
\frac{1}{2} \times -4 = -2
<span>
Subtract (2n + 3):

</span>- (2n + 3) = -2n -3
<span>
Your equation should now look like this:

</span>\frac{1}{2}n - 2 - 3 = 3 - 2n - 3
<span>
Combine like terms on both sides:

</span>-2 - 3 = -5
3 - 3 = 0
\frac{1}{2}n - 5 = -2n
<span>
Subtract 1/2n from both sides:

</span>-5 = -\frac{5}{2}n
<span>
Divide both sides by -5/2 to get n by itself:

</span>n = 2
<span>
The value of n is 2.</span>
8 0
3 years ago
Read 2 more answers
The distance an object falls when dropped from a tower varies directly as the square of the time it falls. If the object falls 1
Tanzania [10]

Answer:

the object will fall 792 feet in 17 seconds

Step-by-step explanation:

first you can do 144 multiplied by 5 because that would be 15 of those seconds next you would do 144 divided by 2 because you only need 2 seconds to reach 17 your answer would be 72 then you would do 720+72=792 so it would fall 792ft in 17 seconds

3 0
3 years ago
Read 2 more answers
In the past ten years, the population of a city decreased from 90,000 to 75,000 Find the percent decrease.
vfiekz [6]
The answer is 31.5%.
8 0
3 years ago
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