Ask question

Ask question

All categories

2 years ago

10

Find a10 given the geometric sequence 3, 12, 48, 192, ...

1 answer:

notka56 [123]2 years ago

3 0

Answer:

Step-by-step explanation:

first term = a = 3

common ratio = 2nd term ÷ first term

= 12 ÷ 3

r = 4

$a_{n} = ar^{n-1}\\\\a_{10}=3*4^{9}\\\\\\ = 3 * 262144\\\\= 786432$

You might be interested in

A local culinary market sells ground sumac for $1.25 per ounce and ground thyme for $1.50 per ounce. You want to make a 25-oz se

almond37 [142]

Let
x-------> ounces of <span>ground sumac
y-------> ounces of </span><span>ground thyme

we know that
x+y=25------> x=25-y------> equation 1
1.25x+1.5y=1.35*25-----> 1.25x+1.5y=33.75-----> equation 2

substitute equation 1 in equation 2
1.25*[25-y]+1.5y=33.75------> 31.25-1.25y+1.5y=33.75
0.25y=2.5
y=10
x=25-y-----> x=25-10-----> x=15

the answer is
15 </span>ounces of ground sumac
10 ounces of ground thyme

5 0

3 years ago

If the length of each side of an equilateral triangle were increased by 50 percent, what would be the percent increase in the ar

Shkiper50 [21]

Answer:

<u><em>The area increase by 225%</em></u>

<em><u>Step-by-step explanation: </u></em>

<em><u>attachment of a triangle</u></em>

<em><u>The area of a triangle equilateral is calculated with the next formula:</u></em>

<em><u>A= $\frac{a*h}{2}$ </u></em>

<em><u> $h^{2} +(\frac{a}{2})^{2}$ = $a^{2}$ </u></em>

<em><u> $h^{2} = a^{2} - \frac{a^{2} }{4}$ = $\frac{a^{2} }{4}$ *3</u></em>

<em><u>h= $\sqrt{\frac{a^{2}*3 }{4} }$ </u></em>

<em><u>h= $\frac{\sqrt{3}*a }{2}$ </u></em>

<em><u>replacing in the A equation:</u></em>

<em><u>A= $\frac{a*\sqrt{3}*a }{2*2}$ </u></em>

<em><u>A= $\frac{\sqrt{3}*a^{2} }{4}$ </u></em>

<em><u>Now each side increse by 50% ⇒ a=1.5a</u></em>

<em><u>A= $\frac{\sqrt{3}*(1.5a)^{2} }{4}$ </u></em>

<em><u>A= $\frac{\sqrt{3}*a^{2}* 2.25 }{4}$ </u></em>

<em><u>A=2.25 * $\frac{\sqrt{3}*a^{2} }{4}$ </u></em>

<em><u>It means that the area incrase by 225%</u></em>

6 0

3 years ago

Six years ago, Robert’s age was __________. A = Robert’s present age Which expression models this situation? A) 6A B) A + 6 C) A

atroni [7]

Answer :
C because if you want his age six years ago, you need to take his present age (A) and subtract 6

5 0

3 years ago

Evaluate the expression

Effectus [21]

Answer:

x = - 3

Step-by-step explanation:

note that y = f(x)

locate y = 3 on the y- axis, go horizontally across to meet f(x) at (- 3, 3 ) , then

x = - 3 when f(x) = 3

4 0

2 years ago

helpppppp pleaseeeee

wolverine [178]

Answer:

length is 17

width is 14

Step-by-step explanation:

4 0

2 years ago