-4, 12, -36, 108, ... What are the next 3 numbers in the sequence

Q # 15 I need help please to resolve

kow [346]

The sequence is

740, 707.60,675.20,642.80,...

Here first term is 740, and common difference, d is

$707.60-740 = -32.40$

Now we use the formula of nth term, which is

$a_{n} = a+(n-1)d$

Substituting the values of a,n and d, we will get

$=740+(n-1)(-32.40), 23 months$

Correct option is the second option .

7 0

3 years ago

Solve the equation by using the quadratic formula. x^2+2x=6

katrin [286]

Answer:

$\Huge \boxed{{x=-1\pm \sqrt{7}}}$

Step-by-step explanation:

x² + 2x = 6

Subtract both sides by 6.

x² + 2x - 6 = 0

ax²+bx+c=0

a=1, b=2, and c=-6

We can apply the quadratic formula.

$\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Plug in the values.

$\displaystyle x=\frac{-2\pm\sqrt{2^2-4(1)(-6)}}{2(1)}$

Evaluate.

$\displaystyle x=\frac{-2\pm\sqrt{4-(-24)}}{2}$

$\displaystyle x=\frac{-2\pm\sqrt{28}}{2}$

$\displaystyle x=\frac{-2\pm 2\sqrt{7}}{2}=-1 \pm \sqrt{7}$

6 0

3 years ago

A ski resort claims that there is a 75% chance of snow on any given day in january and that snowfall happens independently from

lys-0071 [83]

Using the binomial distribution, it is found that the mean and the standard deviation of variable x are given as follows:

$\mu = 3, \sigma = 0.87$

<h3>What is the binomial probability distribution?</h3>

It is the probability of exactly <u>x successes on n repeated trials, with p probability</u> of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

In this problem, we have that the parameters are given as follows:

n = 4, p = 0.75.

Hence the mean and the standard deviation are given as follows:

E(X) = np = 4 x 0.75 = 3.

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{4 \times 0.75 \times 0.25} = 0.87$

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

7 0

1 year ago

Help with this one because I do not know how to do perpendicular plz put explanation with steps worth 50!

Yuri [45]

Answer:

Therefore, equation of the line that passes through (16,-7) and is perpendicular to the line $2x-3y=12$ is $3x+2y=34$

Step-by-step explanation:

Given:

$2x-3y=12$

To Find:

Equation of line passing through ( 16, -7) and is perpendicular to the line

$2x-3y=12$

Solution:

$2x-3y=12$ ...........Given

$\therefore y=\dfrac{2}{3}\times x-4$

Comparing with,

$y=mx+c$

Where m =slope

We get

$Slope = m1 = \dfrac{2}{3}$

We know that for Perpendicular lines have product slopes = -1.

$m1\times m2=-1$

Substituting m1 we get m2 as

$\dfrac{2}{3}\times m2=-1\\\\m2=-\dfrac{3}{2}$

Therefore the slope of the required line passing through (16 , -7) will have the slope,

$m2=-\dfrac{3}{2}$

Now the equation of line in slope point form given by

$(y-y_{1})=m(x-x_{1})$

Substituting the point (16 , -7) and slope m2 we will get the required equation of the line,

$(y-(-7))=-\dfrac{3}{2}\times (x-16)\\\\2y+14=-3x+48\\3x+2y=34......Equation\ of\ line$

Therefore, equation of the line that passes through (16,-7) and is perpendicular to the line $2x-3y=12$ is

$3x+2y=34$

3 0

3 years ago

Find JMK, JKH, HLK, HJL, LHK, JLK

nordsb [41]

Answer:

126

Step-by-step explanation:

A line is 180 degrees. I found the degree of the angles in-between 126 and M by subtracting 126 from 180. This means that M is also 126. (Plus the intersecting lines are parallel)

8 0

3 years ago

-4, 12, -36, 108, ... What are the next 3 numbers in the sequence​

-4, 12, -36, 108, ... What are the next 3 numbers in the sequence