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1 year ago

Rule 1: Multiply by 2 then add 1 starting from 1.

Mathematics

1 answer:

Lyrx [107]1 year ago

8 0

The sequence 1 will be 3(n – 1) + 1. And the sequence 2 will be 9(n – 1) / 2 + 40.

<h3>What are sequence and series?</h3>

A sequence is a list of elements that have been ordered sequentially, such that members come either before or after.

Let n = natural number.

The sequence 1 will be multiplied by 2 then add 1 starting from 1. Then we have

⇒ 2(n – 1) + 1(n – 1) + 1

⇒ 3(n – 1) + 1

The sequence 1 will be divided by 2 then add 4 starting from 40. Then we have

⇒ (n – 1 / 2) + 4(n – 1) + 40

⇒ 9(n – 1) / 2 + 40

More about the sequence link is given below.

brainly.com/question/21961097

#SPJ1

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Simplify the expression: w2 + 7w2 + 8w - 5 + 9 - 2w2

ololo11 [35]

<h3> $6w^2 +8w +4$ is the simplified expression</h3>

<em><u>Solution:</u></em>

Given that,

We have to simplify

$w^2 + 7w^2 + 8w -5+9-2w^2$

We can simplify the above expression by combining the like terms

Like terms are terms that has same variable with same exponent and same or different coefficient

From given,

$w^2 + 7w^2 + 8w -5+9-2w^2$

Group the like terms

$w^2 + 7w^2 -2w^2 + 8w - 5+9\\\\Combine\ the\ like\ terms\\\\6w^2 +8w -5+9\\\\Combine\ the\ constants\\\\6w^2 +8w +4$

Thus the given expression is simplified

4 0

2 years ago

The interior angles formed by the sides of a quadrilateral have measures that sum to 360°.

vova2212 [387]

add all the angles and make them equal to 360

88 + 108 + (3x-6) + 2x = 360

196 + 5x -6 = 360

190 + 5x = 360

5x = 170

x = 34 = answer

4 0

2 years ago

SOMEONE PLEASE HELP ASAP!!!!!

Margaret [11]

Answer:

Step-by-step explanation:

<u>System of Equations</u>

We are given the system of equations:

2x + y = 3

x = 2y - 1

Substituting x in the first equation:

2(2y - 1) + y = 3

Operating:

4y - 2 + y = 3

5y = 3 + 2

y = 5/5 = 1

y = 1

Since:

x = 2y - 1

Then:

x = 2(1) - 1

x = 1

Solution:

x = 1

y = 1

7 0

2 years ago

Machine A produces bolts at a uniform rate of 120 every 40 seconds, and Machine B produces bolts at a uniform rate of 100 every

Nutka1998 [239]

Answer:

25 seconds

Step-by-step explanation:

Hi there!

In order to answer this question, first we need to know how many bolts per second are produced by each machine, this can be known by dividing the number of bolts by the time it takes.

For machine A:

$A = \frac{120 bolts}{40 s}= 3 \frac{bolts}{s}$

For machine B:

$B = \frac{100 bolts}{20 s}= 5 \frac{bolts}{s}$

So, if the two machines run simultaneously, we will have a rate of prodcution of bolts equal to the sum of both:

$A+B=(3+5)\frac{bolts}{s}=8\frac{bolts}{s}$

Now, we need to know how much time it will take to producee 200 bolts, to find this out we need to divide the amount of bolts by the production rate:

$t = \frac{bolts}{ProductionRate}= \frac{200 bolts}{8 \frac{bolts}{s} }$

The <em>bolts</em> unit cancell each other and we are left with <em>seconds</em>

$t = \frac{200}{8} s = 25 s$

So it will take 25 seconds to produce 200 bolts with machine A and B running simultaneously.

Greetings!

4 0

3 years ago

Read 2 more answers

Let p and q be statements. Identify the truth table for q → p.

Serjik [45]

Answer:

T F T T.

Step-by-step explanation:

Let p and q be two statement

When the value of p is true and the value of q is true then the value of $q\implies p$ is true.

When the value of p is true and the value of q is false then the value of $q\implies p$ is true.

When the value p is false and the value of q is true then the value of $q\implies p$ is false.

When the value of p is false and the value of q is false then the value of $q\implies p$ is true.

Hence, the value of $q\implies p$ is false when q is true and p is false.

4 1

2 years ago

Read 2 more answers