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3 years ago

Why is the remainder always less than the divisor

1 answer:

4 0

The remainder is always less than the divisor because if the remainder was more than the divisor then you would have a totally different answer. If the remainder was more than the divisor than you know your answers wrong.

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1. When Pascal built a dog house, he knew he wanted the

elena-14-01-66 [18.8K]

I think c is the answer

5 0

3 years ago

Find an explicit rule for the nth term of the sequence.The second and fifth terms of a geometric sequence are 18 and 144, respec

vova2212 [387]

Given:

second term = 18

fifth term = 144

The nth term of a geometric sequence is:

$\begin{gathered} a_n\text{ = ar}^{n-1} \\ Where\text{ a is the first term} \\ r\text{ is the common ratio} \end{gathered}$

Hence, we have:

$\begin{gathered} \text{ar}^{2-1}\text{ = 18} \\ ar\text{ = 18} \\ \\ ar^{5-1}=\text{ 144} \\ ar^4\text{ =144} \end{gathered}$

Divide the expression for the fifth term by the expression for the second term:

$\begin{gathered} \frac{ar^4}{ar}\text{ = }\frac{144}{18} \\ r^3\text{ = }\frac{144}{18} \\ r\text{ = 2} \end{gathered}$

Substituting the value of r into any of the expression:

$\begin{gathered} ar\text{ = 18} \\ a\text{ }\times\text{ 2 = 18} \\ Divide\text{ both sides by 2} \\ \frac{2a}{2}\text{ =}\frac{18}{2} \\ a\text{ = 9} \end{gathered}$

Hence, the explicit rule for the sequence is:

$a_n\text{ = 9\lparen2\rparen}^{n-1}$

5 0

1 year ago

What are the intercepts to the line

Roman55 [17]

The x-intercept is 8 because it passes through the horizontal line (x) at point 8.
The y-intercept is -4 because it passes through the vertical line a (y) at point -4.
The correct answer is B.
Hope this helps!

5 0

3 years ago

Looking for an answer to a. please

Paladinen [302]

It's a cube so x should also equal 6

4 0

2 years ago

Find the value of x in each case:

goblinko [34]

Answer:

x = 11

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ FEB and ∠ DEB are adjacent angles and supplementary, thus

∠ FEB = 180 - 4x , so

180 - 4x + x = 147, that is

180 - 3x = 147 ( subtract 180 from both sides )

- 3x = - 33 ( divide both sides by - 3 )

x = 11

6 0

2 years ago