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3 years ago

NCn is __________ equal to 1. always sometimes never

Mathematics

2 answers:

Black_prince [1.1K]3 years ago

7 0

<span>NCn is always equal to 1. </span>

solong [7]3 years ago

5 0

The third is either A or B, depending on your assumptions. Most likely the "correct" answer is A, but I would argue it's B, since (-1)C(-1) <span>is not equal to 1 (it's not defined).

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
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Differentiate x^2/4-x^3

Ede4ka [16]

Answer:

x^4 + 8x

-----------------

(4-x^3)^2

Step-by-step explanation:

d /dx (x^2/(4-x^3))

When we differentiate a fraction u/v

df/dx = u/v

= v du/dx-u dv/dx

---------------------------

v^2

we know u = x^2 so du/dx = 2x

v = (4-x^3) so dv/dx = -3x^2

d dx = (4-x^3) (2x)- x^2 ( -3x^2)

-------------------------------------

(4-x^3)^2

Combining terms

(8x-2x^4) --3x^4

-------------------------------------

(4-x^3)^2

8x-2x^4 +3x^4

-------------------------------------

(4-x^3)^2

x^4 + 8x

-------------------------------------

(4-x^3)^2

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3 years ago

A line passes through the point (10,5) and has a slope of 3/2. Write and equation in slope intercept form

ehidna [41]

$\bf \begin{array}{lllll}
&x_1&y_1\\
% (a,b)
&({{ 10}}\quad ,&{{ 5}})\quad 
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{3}{2}
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-5=\cfrac{3}{2}(x-10)\implies y-5=\cfrac{3}{2}x-15
\\\\\\
y=\cfrac{3}{2}x-15+5\implies y=\cfrac{3}{2}x-10$

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Jeremy traveled 345 miles to visit his cousin in north carolina. if he traveled at a rate of 60 miles per hour, how long did the

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The trip took 5 hours and 45 mins

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3 years ago

Comparing Relationships with Tables1. Decide whether each table could represent a proportional relationship.If the relationship

yan [13]

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y=kx

where

k is the constant of proportionality

Verify each table

table a

Let

x ----> distance

y ----> sound level

For each ordered pair calculate the value of k

k=y/x

(5,85) -----> k=85/5=17

(10,79) ----> k=79/10=7.9

the values of k are differents

that means

the table nor represent a proportional relationship

table b

let

x ----> volume

y ----> cost

k=y/x

(16,1.49) ----> k=1.49/16=0.093125

(20,1.59) ----> k=1.59/20=0.0795

the values of k are differents

that means

the table nor represent a proportional relationship

6 0

1 year ago

A sequence is constructed according to the following rule: its first term is 7, and each next term is one more than the sum of t

Iteru [2.4K]

Answer:

Step-by-step explanation:

According to the described rule, we have

$a_1=7\\ \\a_1^2=7^2=49\Rightarrow a_2=4+9+1=14\\ \\a_2^2=14^2=196\Rightarrow a_3=1+9+6+1=17\\ \\a_3^2=17^2=289\Rightarrow a_4=2+8+9+1=20\\ \\a_4^2=20^2=400\Rightarrow a_5=4+0+0+1=5\\ \\a_5^2=5^2=25\Rightarrow a_6=2+5+1=8\\ \\a_6^2=8^2=64\Rightarrow a_7=6+4+1=11\\ \\a_7^2=11^2=121\Rightarrow a_8=1+2+1+1=5\\ \\\text{and so on...}$

We can see the pattern

$a_5=a_8=a_{11}=a_{14}=...=5\\ \\a_6=a_9=a_{12}=a_{15}=...=8\\ \\a_7=a_{10}=a_{13}=a_{16}=...=11$

In other words, for all $k\ge 2$

$a_{3k-1}=5\\ \\a_{3k}=8\\ \\a_{3k+1}=11$

Now,

$a_{2018}=a_{3\cdot 673-1}=5$

7 0

3 years ago