Please help with 4, part a and b

Consider the sequence: 3, 8, 13, 18, 23, ...The recursive formula for this sequence is:an = an-1 + 5In a COMPLETE sentence, expl

Akimi4 [234]

Answer:

$a_8=38$

Step-by-step explanation:

Recursive sequence

In a recursive sequence formula, each term $a_n$ is computed as a function of one or more previous terms. In the formula

$a_n=a_{n-1}+5$

n is the number of the term we want to calculate. If n=8, then the formula becomes

$a_8=a_{7}+5$

We can see $a_{n-1}$ is the previous term. It means we need $a_7$ to be able to compute $a_8$ . But we also need $a_6$ to compute $a_7$ and so on until some known data is reached. The question provides five terms, $a_5=23.$

$a_6=a_5+5=28$

$a_7=a_6+5=33$

$a_8=a_7+5=38$

$a_8=38$

4 0

3 years ago

∆ABC has A(-3, 6), B(2, 1), and C(9, 5) as its vertices. The length of side AB is units. The length of side BC is units. The len

leonid [27]

Answer:

AB = 7.07 units

BC = 8.06 units

AC = 12.04 units

Step-by-step explanation:

To find the length for each side of the triangle, apply the distance formula between each pair of vertices.

AB

$d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\d = \sqrt{(2--3)^2 + (1-6)^2} \\d = \sqrt{(5)^2 + (-5)^2} \\d = \sqrt{25 + 25} \\d = \sqrt{50} \\d=7.07$

BC

$d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\d = \sqrt{(9-2)^2 + (5-1)^2} \\d = \sqrt{(7)^2 + (4)^2} \\d = \sqrt{49 + 16} \\d = \sqrt{65} \\d=8.06$

AC

$d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\d = \sqrt{(9--3)^2 + (5-6)^2} \\d = \sqrt{(12)^2 + (-1)^2} \\d = \sqrt{144 + 1} \\d = \sqrt{145} \\d=12.04$

4 0

2 years ago

Which point is on the graph of f(x) = 3.5%? A. (1,15) B. (0, 15) C. (15,1) D. (0,0)

xxTIMURxx [149]

Answer:

b.)

Step-by-step explanation:

7 0

2 years ago

National polls are often conducted by asking the opinions of a few thousand adults nationwide and using them to infer the opinio

Nonamiya [84]

Answer:

The population is the set of all the elements. And the sample is a subset of the population.

Step-by-step explanation:

The population is the set of all the elements. And the sample is a subset of the population.

The sample is used to make conclusions regarding the population.

A poll is conducted from the target population to determine the general opinions of the individuals of that population.

The basic method of polling is to select a few thousand individuals from the population and ask their opinions on a certain subject.

The poll will result usually in two values, the proportion of individual in favor and the proportion of individual not in favor.

Consider the example below.

The polling done to determine the favorability of the new brand of tea. The polling was done using a few hundred members of the tea drinking community of a country. The poll resulted as follows:

In favor = 72%

Not in favor = 28%

The population is the entire tea drinking community of a country.

In this case the sample consist of few 100 people of the tea drinking community of a country.

6 0

2 years ago

A daycare charges $115 per week for one child. Each additional child costs $65 for the week. If a family pays $505 for a week, h

valentinak56 [21]

Answer:

7 children

Step-by-step explanation:

$505-$115= $390

$390÷$65= 6

6+1= 7

4 0

2 years ago