Wendy is arranging books on the bookshelves in the school library. The total number of books she arranges is given by the equation b = 12r, where b is the total number of books and r is the number of rows. Each row contains the same number of books.If Wendy arranged 16 rows she arranged a total of what books

Answers

Answer 1

Answer: the answer is 192 book. the reason why is because if you have 12 books each in 16 rows, you would like to MULTIPLY to find out how much in total. so
1
12
×16
---
72
+120
-------
192 books

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The expression (x8 - 48) can be factored as (x2 - 42)2 (x2 + 42)2.
a. True
b. False

Answers

I think the answer is false, but I'm not sure. I wish I could help more ):

Solve for L: d=LM/R2+R1

Answers

d=LM/(R2+R1)
d(R2+R1)=LM
[d(R2+R1)]/M=L

Answer:

Given the equation: $d = (LM)/(R_2+R_1)$ .....[1]

Cross multiply states that an equation of fractions when each of the side consists of a fraction with a single denominator by multiplying the numerator of each side by the denominator of the other side and equating these two products obtained.

Apply the cross multiply in [1], we get;

$d(R_2 +R_1) = LM$

Divide both sides by M we get;

$L = (d(R_2+R_1))/(M)$

$L = (dR_2+dR_1)/(M)$

Suppose y = 48 + 3(2n - 1) is an explicit representation of an arithmetic sequence for integer values n ≥ 1. Find the xth partial sum of the series, as a quadratic function, where x represents the term number.

Answers

Answer: 3x2 + 51x

Step-by-step explanation:

$a_n=48+3(2n-1)$

The formula of the sum of the arithmetic sequence:
$S_n=(a_1+a__n)/(2)\cdot n$
calculate:
$a_1=48+3(2\cdot1-1)=48+3=51$
substitute
$S_n=(51+48+3(2n-1))/(2)\cdot n=(99+6n-3)/(2)\cdot n=(96+6n)/(2)\cdot n=3n^2+48n$
Your answer is:
$\boxed{f(x)=3x^2+48x}$

a lab technician mixed a 690 ml solution of water and alcohol, if 3% of the solution is alcohol, how many milliliters of alcohol were used and how many milliliters of water were used?

Answers

To get the milliliters of alcohol used, we must multiply 690 by 0.03. If we do this, we will get 20.70, which means that 20.70 milliliters of alcohol were used. On the other hand, we can get the milliliters of water used through two ways: the first one is by simply subtracting 20.70 from 690, which will give us the answer 669.30. Another would be by multiplying 690 by 0.97, which will also yield the answer 669.30. The number of milliliters of water used was 669.30.

Use synthetic division to solve (x^4 – 1) ÷ (x – 1). What is the quotienta. x^3-x^2+x-1
b. x^3
c.x^3+x^2+x+1
d. x^3-2

Answers

Answer:

Option C.

Step-by-step explanation:

We have to solve $(x^(4)-1 )/(x-1)$ by synthetic division and tell the quotient.

First we will write the numerator in the standard form as $ax^(4)+bx^(3)+cx^(2)+dx+e$

Which will become as $1.x^(4)+0.x^(3)+0.x^(2)+0.x^(1)-1$

Since denominator of the fraction is (x -1) therefore we take x = 1 as zero root.

Now we form the synthetic form as below

1 0 0 0 -1

1 1 1 1 1 0

x³ x² x

Here coefficient of x³ is 1, for x² is 1, for x is 1, and constant term 1.

Now the fraction will come in the form of

$(x -1) + ((1.x^(3)+1.x^(2)+1.x+1))/((x - 1))$

Therefore quotient will be $x^(3)+x^(2)+x+1$

Option C. is the answer

Hello,

x^4-1=(x²-1)(x²+1)=(x²+1)(x-1)(x+1)
==>(x^4-1)/(x-1)=(x²+1)(x+1)=x^3+x^2+x+1
Answer C

Express 4-3i/(1+i)(2-3i) in the a+bi form