1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Eddi Din [679]
3 years ago
8

Given the geometric sequence where a1 = 3 and r = √2 find a9

Mathematics
1 answer:
Zigmanuir [339]3 years ago
8 0

Answer:

a_9=48

Step-by-step explanation:

we are given

sequence is geometric

so, we can use nth term formula

a_n=a_1(r)^{n-1}

we have

a_1=3

r=\sqrt{2}

we have to find a9

so, we can plug n=9

we get

a_9=3(\sqrt{2})^{9-1}

a_9=2^4\cdot \:3

a_9=48

You might be interested in
-3=2/3(2) what is the answer
anastassius [24]

When adding, you only add the numerators. The denominator stays the same (Assuming the denominators are the same number). If not, then you will have to find a common denominator first. IN this case, the denominator is already the same. Add the numerator

2/3 + 2/3 = 4/3

Note that the answer gotten is an “improper fraction”, because the numerator is greater than the denominator. Simplify.

4/3 = 3/3 + 1/3

Divide: 3/3 = 1

1 + 1/3 = 1 1/3

1 1/3 is your mixed fraction answer (4/3 for improper fraction answer)

6 0
2 years ago
Hi, does anyone know how to solve this. If so, please show the working out too. Thanks.
sergiy2304 [10]

See the explanation

<h2>Explanation:</h2><h2 />

I have corrected your diagram so ∅ is the angle at the top of the diagram. In order to solve this problem we have to use Pythagorean theorem and the law of sines. Moreover, I have named two sides as w and z so those variables will help us to solve this problem. So:

The triangle at the bottom is right, so by Pythagorean theorem is true that:

w^2=4^2+(2\sqrt{2})^2 \\ \\ w^2=24 \\ \\ w=\sqrt{24} \\ \\ w=2\sqrt{6}

By law of sines:

\frac{z}{sin\theta}=\frac{w}{sin60^{\circ}} \\ \\ z=\frac{wsin\theta}{sin60^{\circ}} \\ \\ z=\frac{2\sqrt{6}sin\theta}{\sqrt{3}/2} \\ \\ z=4\sqrt{2}sin\theta

By law of sines again:

\frac{y}{sin45^{\circ}}=\frac{z}{sin\phi} \\ \\ y=\frac{zsin45^{\circ}}{sin\phi} \\ \\ y=\frac{4\sqrt{2}sin\theta \sqrt{2}/2}{sin\phi} \\ \\ \\ Finally: \\ \\ \boxed{y=\frac{4sin\theta}{sin\phi}}

<h2>Learn more:</h2>

Classification of triangles: brainly.com/question/10379190

#LearnWithBrainly

7 0
3 years ago
X-y+z=6, 2y+z=12, z=2
snow_tiger [21]
For z=2⇒ 2y+2=12
                2y=12-2
                2y=10
               y=10:2
               y=5
x - y+z=6
x - 5 + 2=6
x -3 =6
x=6+3
x=9
7 0
3 years ago
Write the absolute value inequality in the form x−b ≤c or x−b ≥c that has the solution set −1≤x≤3.
stealth61 [152]

Answer:

|x - 1| ≤ 2

Step-by-step explanation:

b = (-1+3)/2 = 1

c = 3-1 = 2

|x - 1| ≤ 2

4 0
3 years ago
A tank containing 35 gallons of water is leaking at a rat 1/4 gallon per minute. Write and expression to determine the number of
MrRissso [65]

Answer:

The expression 35 - m is used to determine the number of gallons left in the tank after m minutes.Solution:Given that a tank containing 35 gallons of water is leaking at a rate of gallon per minute. Let "m" represent the number of minutes spent Number of gallons left in the tank = initial amount of water present – leaked amount of water

Number of gallons of water left = 35 gallons – number of minutes spent  rate of leakage.

Number of gallons of water left = 35 gallons – m minutes  1 gallons per minute Hence, the required expression is 35 – m

5 0
3 years ago
Other questions:
  • Help please. ive been working hard and i just need some help, please
    8·1 answer
  • Graph the equation y=x+7
    12·1 answer
  • A football is kicked vertically upward from a height of 3 feet with an initial speed of 70 feet per second. The formula h=3+70t-
    6·1 answer
  • A Frisbee has a diameter which measures 10.2 inches. Consider the greatest possible error allowed for the measurement and calcul
    14·2 answers
  • Which function is the inverse of f(x)=12x+5?
    7·1 answer
  • Can u pretty please help me it’s late I’m really struggling
    14·1 answer
  • -3=3w + 6 solve for w
    13·2 answers
  • Extra points :)<br> please answer asap
    14·1 answer
  • Mary earns $10 per hour and $5 for each delivery she makes. She wants to earn more than $140 in an 8-hour workday. What is the l
    9·2 answers
  • Find the perimeter of the parallelogram with these vertices.<br> (6,4),(-1, 4), (1, -5), (-6, -5)
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!