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3 years ago

Use inductive reasoning to predict the most probable next number in the list.

Mathematics

1 answer:

agasfer [191]3 years ago

5 0

64 is the correct answer. The numbers are being multiplied. 1×1=1, 2×2=4, 3×3=9, 4×4=16, etc.

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A box shaped like a rectangular prism has a height of 17in. And a volume of 2720in^3. The length is 4in greater than twice the w

KIM [24]

Answer:

the width is 8

Step-by-step explanation:

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4 years ago

Read 2 more answers

If the principle is $12,000 and the rate of interest is 6% (simple interest), what

Elza [17]

9514 1404 393

Answer:

$12,720

Step-by-step explanation:

The amount is given by the formula ...

A = P(1 +rt)

where P is the principal, invested at rate r for t years.

A = $12,000(1 +0.06·1) = $12,720

The total amount after 1 year is $12,720.

7 0

3 years ago

Can some one help me factor 6x^2+4x-10

Fudgin [204]

2(3x + 5) (x - 1)

This is done through factoring 2 out of the equation first...

2(3x^2 + 2x -5)

And then cross multiplying it

3 0

3 years ago

Find the value of c so that the polynomial p(x) is divisible by (x-3). p(x) =-x^3+cx^2-4x+3. c=?

Vilka [71]

Answer:

$\boxed{\textsf {The value of c is $\sf \dfrac{-14}{3}$. }}$

Step-by-step explanation:

A polynomial is given to us . We need to find the value of c so that it is divisible by (x-3 ) .The given polynomial to us is ,

$\sf \implies p(x)=- x^3+cx^2-4x+3$

And the factor is ,

$\sf \implies g(x) = x + 3$

Now , according to factor theorem , p(x) will be divisible by g(x) if p(-3) = 0

$\sf \implies p(x)= - x^3+cx^2-4x+3 \\\\\implies\sf p(-3) = 0 \\\\\sf\implies -(-3)^3+c(-3)^2-4(-3)+3 = 0 \\\\\sf\implies 27 + 9c +12+3=0 \\\\\sf\implies 9c +42=0 \\\\\sf\implies 9c = (-42) \\\\\sf\implies c = \dfrac{-42}{9}\\\\\sf\implies \boxed{\pink{\sf c = \dfrac{-14}{3}}}$

<h3>Hence the value of c is (-14)/3 .</h3>

4 0

3 years ago

Simplify 8 – 2(3x – 36) + 4x A. 22x - 216 B. -2x – 288 C. -2x + 80 D. X + 900

gulaghasi [49]

Answer:

C. -2x + 80

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Distributive Property

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

8 - 2(3x - 36) + 4x

Step 2: Simplify

[Distributive Property] Distribute -2: 8 - 6x + 72 + 4x
[Addition] Combine like terms (x): -2x + 8 + 72
[Addition] Combine like terms (Z): -2x + 80

8 0

3 years ago