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Trava [24]
2 years ago
8

^+^1+9/3^n^-^1+1" align="absmiddle" class="latex-formula">
how do i solve it?
Mathematics
1 answer:
abruzzese [7]2 years ago
4 0

Answer:

Hello,

Step-by-step explanation:

\dfrac{3^{n+1}+9}{3^{n-1}+1} \\\\=\dfrac{9*(3^{n-1}+1)}{3^{n-1}+1}\\\\=9\\

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A coin is tossed 3 times. What is the probability that the number of tails obtained will be between 1 and 3 inclusive?
LekaFEV [45]

Answer: \dfrac{7}{8}

Step-by-step explanation:

Given : When a coin is tossed twice , the total outcomes will become

HHH , HHT , HTH , THH , TTH , THT , HTT ,TTT

Total outcomes = 8

Favorable outcomes to obtain 1 and 3 inclusive = HHT , HTH , THH , TTH , THT , HTT ,TTT

Number of favorable outcomes = 7

Probability that the number of tails obtained will be between 1 and 3 inclusive = \dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}

=\dfrac{7}{8}

Hence, the probability that the number of tails obtained will be between 1 and 3 inclusive =\dfrac{7}{8}

5 0
3 years ago
(7,9) has a slope of 1. Write equation in slope intercept form
Nadya [2.5K]

Step-by-step explanation:

<em>Here, slope of the line (m) = 1</em>

<em>Here, slope of the line (m) = 1And, the line passes through the point (7,9)</em>

<em>Equation </em><em>of </em><em>the </em><em>line </em><em>is </em><em>given </em><em>by </em>

<em>y </em><em>-</em><em> </em><em>y1</em><em> </em><em>=</em><em> </em><em>m </em><em>(</em><em> </em><em>x </em><em>-</em><em> </em><em>x</em><em>1</em><em> </em><em>)</em>

<em>y </em><em>-</em><em> </em><em>9</em><em> </em><em>=</em><em> </em><em>1</em><em>(</em><em> </em><em>x </em><em>-</em><em> </em><em>7</em><em>)</em>

<em>y </em><em>-</em><em> </em><em>9</em><em> </em><em>=</em><em> </em><em>x </em><em>-</em><em>7</em>

<em>x </em><em>-</em><em>7</em><em>+</em><em>9</em><em>-</em><em>y</em><em> </em><em>=</em><em> </em><em>0</em>

<em>x </em><em>-</em><em> </em><em>y </em><em>+</em><em> </em><em>2</em><em> </em><em>=</em><em> </em><em>0</em><em> </em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>is </em><em>the </em><em>required </em><em>equation </em><em>of </em><em>the </em><em>line. </em>

4 0
3 years ago
Find the unit rate. Enter your answer as a mixed number.
lesya [120]

The unit rate is the change of a quantity over one unit of another thus the unit rate of fertilizer covers is (30/8) foot per hour.

<h3>What is the rate of change?</h3>

The rate of change is the change of a quantity over 1 unit of another quantity.

Most of the time the rate of change is the change with respect to time.

For example the speed 3meter/second.

As per the given,

A fertilizer covers 5/8 square feet in 1/6 hour.

5/8 square feet ⇒ 1/6 hour

Multiply both sides by 6

6 × 5/8 square feet ⇒ 6/6 hour

30/8 square feet ⇒ 1 hour.

Hence "The unit rate is the change of a quantity over one unit of another thus the unit rate of fertilizer covers is (30/8) foot per hour".

To learn more about the rate of change here,

brainly.com/question/12786410

#SPJ1

5 0
1 year ago
I need some help with math.<br> Who can help me?
Evgesh-ka [11]

Step-by-step explanation:

10^2 = 100

10^-2 = 1/100 ➡ 0.01

5 0
2 years ago
which of the following ordered pairs could be placed in the table below and still have the relation qualify as a linear function
mr_godi [17]
(1,31)
Subtract 2 from x, add 8 to y
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