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3 years ago

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).

Mathematics

1 answer:

zalisa [80]3 years ago

8 0

Answer: 272

Step-by-step explanation:

Let a1=11

a2=20

a3=29

Formula for sequence=

an=a1+(n-1)d

an = nth term

a1= first term

n= nth position

d= common difference

We are looking for the 30th term,so our n=30

d= a2-a1

d= 20-11

d= 9

Using the formula

an= a1+(n-1)d

a30= 11+(30-1)9

a30= 11+(29)9

a30= 11+(29×9)

a30= 11+261

a30= 272

Therefore, the 30th term is 272

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Can someone please solve this problem for me?

statuscvo [17]

Answer:

5 and 7.

Step-by-step explanation:

Hey! So to start you need to create an algebraic expression. You can express this problem through the following equation:

*Note: if x is an odd integer, x + 2 is the next consecutive odd integer.

$x *(x+2)=35$

Expanding, you get:

$x^{2}+2x = 35.$

And moving the 35 to the other side, you get a simple quadratic.

$x^{2}+2x -35 =0.$

Solving by factoring:

$(x+7)(x-5)$

This means two possible solutions for the smaller consecutive number are -7 and 5. However the question asks for two positive odd integers, so one of the numbers must be 5. The next will be 7(as its x + 2).

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3 years ago

The number of electoral votes each state is assigned is determined by the size of its population every ten years. The chart show

sattari [20]

Answer:

D. $Q_3=47$

Step-by-step explanation:

We have been given a table that represents the the number of electoral votes California was assigned each decade of the past century. We are asked to find the 3rd quartile of our given data.

The number of votes are: 9, 13, 13, 22, 25, 32, 40, 45, 47, 54, 55.

We will use upper quartile formula to solve our given problem.

$Q_3=\frac{3}{4}*(n+1)^{\text{th term}}$ , where, n represents the number of elements in the data set.

We can see that our data set has 11 data points, so upon substituting n=11 in above formula we will get,

$Q_3=\frac{3}{4}*(11+1)^{\text{th term}}$

$Q_3=\frac{3}{4}*(12)^{\text{th term}}$

$Q_3=3*3^{\text{th term}}$

$Q_3=9^{\text{th term}}$

Now let us count 9th term of our data set. Upon counting our data set from left to right we can see that 9th term of our data set is 47, therefore, 3rd quartile of our given data is 47 and option D is the correct choice.

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3 years ago

Read 2 more answers

If a printer prints 28 copies in 1 minute how many would it print in 3 minutes and 45 seconds?

Wittaler [7]

3minutes 45 seconds = 3 45/60 = 3.75 minutes

28 copies/ 1 minute = x copies/3.75 minutes

using cross products

28 * 3.75 = 1 * x

105 = x

We can print 105 copies in 3 3/4 minutes

3 0