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2 years ago

5

Use the long division method to find the result when 6x3 + 19x2 + 10x + 1 is divided by 2x + 1.

1 answer:

galina1969 [7]2 years ago

3 0

Answer:

Hope this answer helps you !

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If a rectangle has a length of 5in, a width of 4in, and a height of 8in.Evaluate the volume using the formula: V=LWH 20 inches c

ozzi

Substitute the numbers in the equation:

$V=LWH$

Since L=5in, W=4in and H=8in:

$\begin{gathered} V=(5in)(4in)(8in) \\ =160in^3 \end{gathered}$

Therefore, the volume is equal to 160 inches cubed.

5 0

1 year ago

Consider the sequence defined recursively by do = 0, an = an-1 + 3n – 1. a) Write out the first 5 terms of this sequence,

creativ13 [48]

Answer:

The first 5 terms of the sequence is 2,7,15,26,40.

Step-by-step explanation:

Given : Consider the sequence defined recursively by $a_0=0$ $a_n=a_{n-1}+3n-1$

To find : Write out the first 5 terms of this sequence ?

Solution :

$a_n=a_{n-1}+3n-1$ and $a_0=0$

The first five terms in the sequence is at n=1,2,3,4,5

For n=1,

$a_1=a_{1-1}+3(1)-1$

$a_1=a_{0}+3-1$

$a_1=0+2$

$a_1=2$

For n=2,

$a_2=a_{2-1}+3(2)-1$

$a_2=a_{1}+6-1$

$a_2=2+5$

$a_2=7$

For n=3,

$a_3=a_{3-1}+3(3)-1$

$a_3=a_{2}+9-1$

$a_3=7+8$

$a_3=15$

For n=4,

$a_4=a_{4-1}+3(4)-1$

$a_4=a_{3}+12-1$

$a_4=15+11$

$a_4=26$

For n=5,

$a_5=a_{5-1}+3(5)-1$

$a_5=a_{4}+15-1$

$a_5=26+14$

$a_5=40$

The first 5 terms of the sequence is 2,7,15,26,40.

5 0

3 years ago

Through: (-3,0), perp. to y = 3x - 1

Marrrta [24]

Answer:

$y=-\dfrac{1}{3}x-1$

Step-by-step explanation:

<u>Given: </u>

line y=3x-1

point (-3,0)

<u>Write:</u> equation of the line that is perpendicular to the given and passes through the point (-3,0)

<u>Solution:</u>

The slope of the given line is $m=3$

If $m_1$ is the slope of perpendicular line, then

$m\cdot m_1=-1\\ \\3m_1=-1\\ \\m_1=-\dfrac{1}{3}$

So, the equation of the needed line is $y=-\dfrac{1}{3}x+b.$

Find b. This line passes through the point (-3,0), so its coordinates satisfy the equation:

$0=-\dfrac{1}{3}\cdot (-3)+b\\ \\0=1+b\\ \\b=-1\\ \\y=-\dfrac{1}{3}x-1$

7 0

3 years ago

How often is simple interest used in the business and banking worlds?

Alchen [17]

On't want to be ripped off do you?/ That's why you want to have some interest. Just in a simple form this is a rush job right now.

6 0

3 years ago

Which of the following is an arithmetic sequence?

seropon [69]

Answer:

B

Step-by-step explanation:

Brainliest please, thanks :)

6 0

3 years ago