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
KIM [24]
3 years ago
15

Find the sum of an infinite geometric series where a1 = 180, and the common ratio is r = 3∕4 ? Question 9 options: A) 240 B) 360

C) 135 D) 720
Mathematics
1 answer:
Len [333]3 years ago
6 0

Answer:

The sum of this geometric series is 720.

Step-by-step explanation:

The sum of a infinite geometric series is given by the following formula:

s = \frac{a_1}{1 - r}\\

Applying the data from the problem, we have:

s = \frac{180}{1 - \frac{3}{4}}\\\\s = \frac{180}{\frac{4 - 3}{4}}\\\\s = \frac{180}{\frac{1}{4}}\\\\s = 180*4 = 720

The sum of this geometric series is 720.

You might be interested in
To determine the density of grains, a student uses a 50ml beaker graded by 5ml increments and a scale with 1g absolute uncertain
labwork [276]

Answer:

The mass of the grains = 120 ± 1 g

Step-by-step explanation:

we are given the following:

Total mass of container + grains = 185 grams

Mass of container = 65 grams

Therefore, mass of grains is calculated as follows:

Mass of grains = ( Mass of container + grains) - mass of container

= 185 - 65 = 120 grams.

since the scale has an absolute uncertainty of 1 g, the mass of the grains is written as 120 ± 1 g

8 0
3 years ago
Can someone help me please
FinnZ [79.3K]

Answer:

1/9, 3, 27

(A / the first option listed)

Step-by-step explanation:

Here, we are given an expression with an "x" in it, and we are to evaluate possible x values, which means we plug them in as the x in the expression

first,

x = -2

3ˣ → 3⁻²

when we raise something to a negative power, we simply find the positive version of that power, and put a 1 over it:

3²  =  3 · 3 =  9

so, 3⁻² =  \frac{1}{9}  (1/9)

next,

x = 1

3ˣ → 3¹

now, here we have something raised to the power of 1, which is always itself, so  3¹ = 3

   (think of ^to the power of  as how many times we multiply that number, so 3² = 3 · 3, 3¹ = 3)

and finally,

x = 3

3ˣ → 3³

here, we can multiply 3 by itself 3 times:

3 · 3 · 3 = 27

so, 3³ = 27

[<em>important note</em><em>: when we raise something to a power, we are </em><u><em>not</em></u><em> multiplying the base number by that number, but this is a common mistake. but the exponent is how many times we are multiplying that number, which is confusing at first}</em>

So, our answers in order are:

1/9, 3, 27 (the first option listed)

hope this helps! let me know if I should clarify anything :)

8 0
2 years ago
A rectangular area measuring 24 meters by 16 meters is to be fenced. An 8 meter section of fence costs $75. How much will it cos
inysia [295]
The answer is $750. Which is option C.
5 0
3 years ago
Read 2 more answers
How would you describe the relationship between miles driven per week and car age, as shown in the scatterplot below? Choose eve
QveST [7]

Answer:

Negative and nonlinear

Step-by-step explanation:

hope this helped

5 0
3 years ago
In the figure below,
bogdanovich [222]

Answer:

b

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • a) miss martinez works 38 hours for an hourly rate of $4.15. in addition she works 6 hours of overtime at time and a half. what
    9·1 answer
  • Two numbers have a difference of 0.7 and a sum of 1. What are the numbers?
    15·2 answers
  • Which is bigger 7/8 or 3/4?
    10·2 answers
  • Let h(x) = 3x – 7. If h(x) = 0, find x.
    15·2 answers
  • X-70/x&lt;-3 solve for x under the assumption that x&gt;0
    13·1 answer
  • Determine the value c so that each of the following
    12·1 answer
  • Which statement is true about the value of StartAbsoluteValue 6 EndAbsoluteValue?
    6·2 answers
  • Solving inequalities.<br><br> 1. 2x + 3 &lt; 9<br><br> 2. 4x - 5 &gt; 43
    14·1 answer
  • Use the distributive property to expand the following expression.<br><br><br> 2{2.1 x + 3y 1.8}
    8·2 answers
  • Look at the figure below:
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!