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4 years ago

What is the answer of K < -5 ?

Mathematics

1 answer:

alexira [117]4 years ago

8 0

To your question, "K<-5", that is the answer. So the answer is K<-5

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What is 62% of 250?

Ad libitum [116K]

0.62 * 250 = 155

Therefore, 62% of 250 is 155

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4 years ago

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Meteorologists look for weather trends across US states in the same geographical region. Kentucky and Illinois share a border. T

olya-2409 [2.1K]

The average annual temperatures (°F) from 1991 to 2000 for Kentucky were 57.5, 55.1, 52.2, 55.6, 55.6, 54.4, 54.5, 58.3, 57.3, and 55.7.

We have to evaluate the measures of center.

Firstly, we will calculate the mean.

Mean = (Sum of all the observations)/ (Total number of observations)

Mean = $\frac{57.5+55.1+52.2+55.6+55.6+54.4+54.5+58.3+57.3+55.7}{10}$

= $\frac{556.2}{10}$

= 55.62

Now, we will calculate mode.

Mode is a statistical term that refers to the most frequently occurring number found in a set of numbers.

Consider the data 57.5, 55.1, 52.2, 55.6, 55.6, 54.4, 54.5, 58.3, 57.3, and 55.7.

Mode = 55.6

Now, we will calculate the median.

Firstly, we will arrange in the ascending order.

52.2, 54.4, 54.4,55.1 ,55.6, 55.6, 55.7, 57.3, 57.5, 58.3

Since there are 10 terms.

Median = $\frac{n}{2}$ th observation

Median = 5th observation.

Since, the 5th observation is 55.6.

Therefore, the median is 55.6

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4 years ago

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What is the linear function equation represented by the graph? Graph of a line on a coordinate plane. The horizontal x-axis rang

salantis [7]

The 2-point form of the equation of a line is
.. y = (y2 -y1)/(x2 -x1)*(x -x1) +y1
For your points (x1, y1) = (0, 3) and (x2, y2) = (3, 5), this is
.. y = (5 -3)/(3 -0)*(x -0) +3
.. y = (2/3)x +3

Written as a function, it is
.. f(x) = (2/3)x +3

8 0

3 years ago

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The composite figures below are made of right prisms.

Arada [10]

Answer:

nFigure 3 has the largest surface area thats all i know

all i Step-by-step explanation:

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3 years ago

The power generated by an electrical circuit (in watts) as a function of its current ccc (in amperes) is modeled by: P(c)=-12c^2

g100num [7]

Answer:

5 amperes will produce the maximum power of 300 watts.

Step-by-step explanation:

The general form of a quadratic function presents the function in the form

$f(x)=ax^2+bx+c$

The vertex of a quadratic function is the highest or lowest point, also known as the maximum or minimum of a quadratic function.

We can define the vertex by doing the following:

Identify a, b, and c
Find, the x-coordinate of the vertex, by substituting a and b into

$x-coordinate =-\frac{b}{2a}$

Find, the y-coordinate of the vertex, by evaluating

$y-coordinate =f(x-coordinate )=f(-\frac{b}{2a} )$

We know that the power generated by an electrical circuit is modeled by

$P(c)=-12c^{2}+120c$

This function is a quadratic function.

To find the current that produce the maximum power you must

Identify a and b

a = -12 and b = 120

Find, the maximum current of the vertex, by substituting a and b into

$maximum-current =-\frac{b}{2a}$

$maximum-current =-\frac{120}{2(-12)}\\\\maximum-current = 5$

Find, the maximum-power, by evaluating

$maximum-power =P(maximum-current)=P(-\frac{b}{2a} )$

$P(5)=-12(5)^{2}+120(5)=300$

5 amperes will produce the maximum power of 300 watts.

We can check our work with the graph of the function $P(c)=-12c^{2}+120c$ and see that the maximum is (5, 300).

5 0

4 years ago