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2 years ago

What is our number system called

Mathematics

1 answer:

Len [333]2 years ago

3 0

Step-by-step explanation:

Decimal system, also called Hindu-Arabic number system or Arabic number system, in mathematics, positional numeral system employing 10 as the base and requiring 10 different numerals, the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.

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A bookstore pays $12.75 for hardcover books and charges $29.95. What is the maximum percent of discount that it can offer while

Anna [14]

9514 1404 393

Answer:

A. 40.7%

Step-by-step explanation:

The selling price for a $5 profit will be ...

$12.75 +5.00 = $17.75

From $29.95, this represents a change of ...

(17.75 -29.95)/29.95 × 100%

= -12.20/29.95 × 100% ≈ -40.7346%

The bookstore can offer a maximum discount of about 40.7%.

4 0

3 years ago

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Suppose y = 48 + 3(2n - 1) is an explicit representation of an arithmetic sequence for integer values n ≥ 1. Find the xth partia

omeli [17]

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

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

5 0

3 years ago

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The density of titanium is 4.51 g/cm^3

forsale [732]

The volume of titanium is 20.86 cubic inches

Solution:

The volume is given by formula:

$volume = \frac{mass}{density}$

From given,

Density of titanium = 4.51 $g/cm^3$

Mass = 3.4 lb

Let us convert the mass to grams

1 pound = 453.592 grams

Therefore, 3.4 pound is equal to:

$3.4 \text{ pound } = 3.4 \times 453.592 \text{ grams }\\\\3.4 \text{ pound } = 1542.2128\text{ grams }$

Now substitute the values into formula:

$volume = \frac{1542.2128}{4.51}\\\\volume = 341.95 cm^3$

Let us convert cubic centimeter to cubic inches

1 cubic centimeter = 0.0610237 cubic inches

Therefore,

$341.95\ cm^3 = 0.0610237 \times 341.95\ in^3 = 20.86\ in^3$

Thus volume of titanium is 20.86 cubic inches

6 0

2 years ago

The coefficients corresponding to k = 0, 1, 2, ..., 6 in the expansion of (x + y)^6 are _____.

Kryger [21]

Using the triangle of pascal we have that the expression equivalent to (x + y) ^ 6 is given by:
x ^ 6 + 6x ^ 5y + 15x ^ 4y ^ 2 + 20x ^ 3y ^ 3 + 15x ^ 2y ^ 4 + 6xy ^ 5 + y ^ 6
Therefore, the coefficients of the expansion are given by:
1, 6, 15, 20, 15, 6, 1
Answer:
The coefficients corresponding to k = 0, 1, 2, ..., 6 in the expansion of (x + y) ^ 6 are 1, 6, 15, 20, 15, 6, 1

5 0

3 years ago

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How do you solve for what is a? Please answer quickly? 4(a-2)=3(a+4)

Lunna [17]

4(a-2)=3(a+4)
4a-8=3a+12
a=20

8 0

3 years ago

What is our number system called​

What is our number system called