What is the factorization of 3x^2 + 6x

inysia [295]

Answer:

$\displaystyle a_8=142,11\ mg$

Step-by-step explanation:

Geometric sequence

Each term in a geometric sequence can be computed as the previous term by a constant number called the common ratio. The formula to get the term n is

$\displaystyle a_n=a_1r^{n-1}$

where $a_1$ is the first term of the sequence

The problem describes Georgie took 275 mg of the medicine for her cold in the first hour and that in each subsequent hour, the amount of medicine in her body is 91% (0.91) of the amount from the previous hour. It can be written as

amount in hour n = amount in hour n-1 * 0.91

a)

This information provides the necessary data to write the general term as

$\displaystyle a_n=275\ .\ 0.91^{n-1}$

b)

In the 8th hour (n=8), the remaining medicine present is Georgie's body is

$\displaystyle a_n=275\ .\ 0.91^{8-1}$

$\displaystyle a_n=275\ .\ 0.91^{7}$

$\boxed{\displaystyle a_8=142,11\ mg}$

6 0

3 years ago

You want to purchase a new car in 5 years and you anticipate the cost of the car to be $55,000. You are given an investment plan

Usimov [2.4K]

Wow - that is an unusual calculation. You'll need a formula for the monthly payment of a monthly annuity, and it is located here:
http://www.1728.org/annuity3.htm (see formula 2)
You'll find THAT page and THIS page very helpful:
http://www.1728.org/annuitym.htm

rate = rate / 1,200
rate = 0.005166666667 
n= number of months = 5 * 12 = 60

monthly amount = [Total] / ([(1 + rate)^(n+1) -1] / [rate]) -1

monthly amount =
55,000 / [[( 1.005166666667)^(61)-1] / 1.005166666667] -1

monthly amount = 55,000 / [[1.3693761617 -1] / .005166666667]-1
monthly amount = 55,000 / [[.3693761617] / .005166666667]-1
monthly amount = 55,000 / (( 71.4921603244)-1)
monthly amount = 55,000 / ( 70.4921603244)
monthly amount = 780.2286062293 
OR 780.23 (rounded)

Yes, it's just that "simple". LOL

5 0

4 years ago

Read 2 more answers

Where do people and animals get the oxygen they breathe?

Serjik [45]

Answer:

<h2> From plants </h2>

<h3>hope it helps you have a good day keep smiling be happy stay safe ☺️</h3>

3 0

3 years ago

Read 2 more answers

{5, 6, 12, 7, 8 10 ,8} What is the mean

NNADVOKAT [17]

Answer:

8

Step-by-step explanation:

Sum = 56

56/7 = 8

7 0

3 years ago

The average yearly earnings of male college graduates(with at least a bachelor's degree) are $59500 for men aged 25 to 34. The a

Goshia [24]

Answer:

Step-by-step explanation:

The question is incomplete. The complete question is:

The average yearly earnings of male college graduates (with at least a bachelor's degree) are $58,000 for men aged 25 to 34. The average yearly earnings of female college graduates with the same qualifications are $49,339. based on the results below, can it be concluded that there is a difference in mean earnings between male and female college graduates? Use the 0.01 level of significance.

sample mean: men $59,235 women $52,487

population standard deviation: men 8,945 women 10,125

sample size: men 40 women 35

a. state hypothesis

b. find the critical value(s)

c. compute the test value

d. make the decision

e. summarize the results

Solution:

This is a test of 2 independent groups. The population standard deviations are not known. Let μ1 be the mean yearly earnings of male college graduates and μ2 be the mean yearly earnings of female college graduates.

The random variable is μ1 - μ2 = difference in the mean average earnings between male and female graduates.

a) We would set up the hypothesis.

The null hypothesis is

H0 : μ1 = μ2 H0 : μ1 - μ2 = 0

The alternative hypothesis is

H1 : μ1 ≠ μ2 H1 : μ1 - μ2 ≠ 0

This is a two tailed test.

b) Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(x1 - x2)/√(s1²/n1 + s2²/n2)

From the information given,

x1 = 59235

x2 = 59487

s1 = 8945

s2 = 10125

n1 = 40

n2 = 35

t = (59235 - 59487)/√(8945²/40 + 10125²/35)

t = - 0.11

The formula for determining the degree of freedom is

df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²

df = [8945²/40 + 10125²/35]²/[(1/40 - 1)(8945²/40)² + (1/35 - 1)(10125²/35)²] = 24298427164944.27/354925314702.92865

df = 68

c) We would determine the probability value from the t test calculator. It becomes

p value = 0.91

d) Since alpha, 0.1 > than the p value, 0.91, then we would fail to reject the null hypothesis.

e) We can conclude that at 10% level of significance, there is no difference in mean earnings between male and female college graduates.

5 0

3 years ago

What is the factorization of 3x^2 + 6x - 24 ???