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2 years ago

Please answer questions 3 and 4 :))

Mathematics

1 answer:

Gnoma [55]2 years ago

6 0

1.) D
2.) A................

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The question is: type your equation for the following pattern

Nana76 [90]

Answer:

$\large\boxed{a(n)=16\left(\dfrac{1}{2}\right)^{n-1}}$

Step-by-step explanation:

$a(1)=16\\\\a(2)=16:2=8\\\\a(3)=8:2=4\\\\a(4)=4:2=2\\\\a(5)=2:2=1\\\\a(n)=a_{n-1}:2=\dfrac{1}{2}a_{n-1}$

This is a geometric series with the common ratio $r=\dfrac{1}{2}$ and the first term $a_1=16$ .

An explicit formula of the n-th term of a geometric sequence:

$a_n=a_1r^{n-1}$

Substitute:

$a_n=16\left(\dfrac{1}{2}\right)^{n-1}$

7 0

3 years ago

Marjorie consumed 1.5 gallons of water in one day. How many milliliters are equal to 1.5 gallons, if 1 liter = 1,000 milliliters

vesna_86 [32]

5.6775 milliliters

Explanation: First ask how many liters are in one gallon(3.79) then split that number in half (1.895)and add to that to 3.79 and your final answer is 5.6775

5 0

3 years ago

PLEASE HELP ASAP 25 PTS

stepan [7]

Answer:

2.810 log3(21.903)

Step-by-step explanation:

log5(92) = 2.810

To change bases

logb(a) = logc(a) / logc(b)

where c is the new base and b is the old base

log5 (92) = log 3(92)/log3(5)

6 0

2 years ago

Help me pleaseeeeeeeeeeeeeee

sineoko [7]

<h3>Answer: </h3><h3>A) 729</h3><h2>Step-by-step explanation:</h2>

The number of trees are multiplied by 3 each week.

<h3> Weeks) 1 2 3 4 5 6 <em><u>7</u></em></h3><h3>Number of Trees) 1 3 9 27 81 243 <u><em>729</em></u> </h3><h3></h3><h3></h3><h3>I hope that helped</h3><h3>]</h3><h3></h3><h3>Sincerely, 4018669</h3>

5 0

3 years ago

Use synthetic division to divide x^3+5x^2−9x−7 by x−2 1 5 -9 -7 The quotient is: _____ The remainder is: ______

RoseWind [281]

Answer:

The quotient is x² + 6x +3

Remainder = -1

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given Polynomial equation

f(x) = x³+5x²−9x−7

By using synthetic division

<em> x = 2 </em> 1 5 -9 -7

The quotient is x² + 6x +3

Remainder = -1

5 0

3 years ago