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Amiraneli [1.4K]
3 years ago
13

A number subtracted from 90 is 3 times that number

Mathematics
2 answers:
OleMash [197]3 years ago
7 0
90-n=3n hope this helps you
Harlamova29_29 [7]3 years ago
3 0
The equation is 90-n=3n but then to solve it you add n to both sides to get the variable on one side so then
90-n=3n becomes 90=4n and n=22.5
so the number is 22.5
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In 2000, the population of a county was 25,300,987. The population decreased at a rate of 2% each year. What was the population
EastWind [94]

Answer: In 2008 the population was 21,525,144

Step-by-step explanation:

You need to use the following formula for Exponential decay:

P=P_0(1-r)^t

Where P_0 is the initial population in the year 0, r is the rate of decay and t is the time.

In this case, you can identify that:

P_0=25,300,987\\\\r=2\%\\\\t=8

Therefore, substituting these values into the formula for Exponential decay, you get:

P=P_0(1-r)^t\\\\P=(25,300,987)(1-\frac{2}{100})^8\\\\P=21,525,144

Then, in 2008 the population was 21,525,144

6 0
3 years ago
The power generated by an electrical circuit (in watts) as a function of its current c (in amperes) is modeled by: P(c) = -12c^2
Ksenya-84 [330]

Answer:

The maximum power generated by the circuit is 300 watts.

Step-by-step explanation:

A quadratic function is one that can be written as an equation of the form:

f (x) = ax² + bx + c

where a, b and c (called terms) are any real numbers and a is nonzero.

In this case, f(x) is P(c) [the power generated], x is the current c (in amperes), a = -12, b = 120 and c = 0.

The vertex is a point that is part of the parabola, which has the value as ordered  minimum or maximum function. If the scalar a> 0, the parabola opens or faces up and the vertex is the minimum of the function. In contrast, if a <0, the parabola opens downward and the vertex is the maximum of the function.

The calculation of the vertex, which in this case will be the maximum of the function, is carried out as follows:

  • The value of x, in this case the value of current c in amperes, can be calculated with the formula c=\frac{-b}{2*a} . In this case: c=\frac{-120}{2*(-12)} So c= 5 amperes. The current is 5 amperes.
  • The value of y, in this case the value of the electric current in watts, is obtained by substituting the value of c previously obtained in the function. In this case: P(5)= -12*5²+120*5. So P(5)= 300 watts

<u><em>The maximum power generated by the circuit is 300 watts.</em></u>

7 0
3 years ago
Pleaseeeee helppp me quick
Mamont248 [21]

Answer:

-2 x -3/2

Step-by-step explanation:

-2 x -3/2

That would equal three, which is more than 2.

<em>Hope that helps! :)</em>

<em></em>

<em>-Aphrodite</em>

7 0
3 years ago
Compare the values of the underlined digits.
Fantom [35]

To solve this problem, you have to determine the value of the number 3 in both numbers:

6,300 – the number 3 is in the hundreds place so its value is 300

530 – the number 3 is in the tens place so its value is 30

To answer the question, the value of 3 in 6,300 is 10 times the value of 3 in 530.

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3 years ago
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Alekssandra [29.7K]

Answer:193

Step-by-step explanation:193

7 0
3 years ago
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