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Mathematics

1 answer:

8090 [49]2 years ago

6 0

Answer:

36 inches

Step-by-step explanation:

lets think of it as a ratio,

80:w

20:9

so we want 20 to get to 80

and 9 to get to w right?

so if we just move the smaller rectangle to the corner, then 20*4=80 right?

and if we do that, we do it to 9 as well, 9*4=36

w=36

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Which of these intervals has an average rate of change that is less than 1/4

RideAnS [48]

Answer:

Interval [b,c] and interval [c,d]

Step-by-step explanation:

a(-5,0)

b(-1,2)

c(4,3)

d(11,4)

The average rate of change is the the total rise over the total run.

The Rise means the vertical increase and the Run means horizontal incease.

For interval [a,b]

rate of change is $\dfrac{2-0}{-1-(-5)}=\dfrac{2}{4}=\dfrac{1}{2}$

For [b,c]

$\frac{3-2}{4-(-1)}=\frac{1}{5}$

For [c,d]

$\dfrac{4-3}{11-4}=\dfrac{1}{7}$

8 0

2 years ago

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Over [174]

Answer:

Step-by-step explanation:

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3 0

3 years ago

A Geometric series has a first term of 4 and a common ratio of 6. what formula is equivalent to the partial sum of the first n t

IRISSAK [1]

$\bf \qquad \qquad \textit{sum of a finite geometric sequence}
\\\\
S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=4\\
r=6
\end{cases}
\\\\\\
S_n=4\left( \cfrac{1-6^n}{1-6} \right)\implies S_n=4\left( \cfrac{1-6^n}{-5} \right)$