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babunello [35]
2 years ago
5

What is the sum of the infinite geometric series? Sigma-Summation Underscript n = 1 Overscript 4 EndScripts (negative 144) (one-

half) Superscript n minus 1
Mathematics
2 answers:
11Alexandr11 [23.1K]2 years ago
8 0

Step-by-step explanation:

∑⁴ₙ₌₁ -144 (½)ⁿ⁻¹

This is a finite geometric series with n = 4, a₁ = -144, and r = ½.

S = a₁ (1 − rⁿ) / (1 − r)

S = -144 (1 − (½)⁴) / (1 − ½)

S = -270

If you wanted to find the infinite sum (n = ∞):

S = a₁ / (1 − r)

S = -144 / (1 − ½)

S = -288

VLD [36.1K]2 years ago
4 0

Answer:

The answer is C (40)

Step-by-step explanation:

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Problem: It takes 1200 workers 8 years to build 3 ziggurats. How many years would It take 1600 workers to build 25 ziggurats? ​
katen-ka-za [31]

17 years

Step-by-step explanation:

1200/3z = 8

400=8/3 year for each building

they take 8

1600 is 2/3 year for each building

2/3 times 25 is 16.666

4 0
1 year ago
Which statement best describes how to determine whether f(x) = 9 – 4x2 is an odd function? Determine whether 9 – 4(–x)2 is equiv
katovenus [111]

We have a property for odd functions, which is given below. Let f(x) be an odd function then it must satisfy the below - mentioned property.

f(-x)= -f(x)

Now, we have been given the function f(x)=9-4x^2

For this function to be odd, it must satisfy the above written property.

Replace x with -x, we get

f(-x)=9-4(-x)^2

And, we have to also find

-f(x)=-(9-4x^2)

Hence, in order to the given function to be an odd function, we must determine whether 9-4(-x)^2 is equivalent to -(9-4x^2) or not.

Therefore, C is the correct option.

5 0
1 year ago
Read 2 more answers
Simplify: sin8x cos3x + cos8x sin3x
UkoKoshka [18]

Answer: sin11x

step by step solution :

6 0
1 year ago
Triangle G F E is cut by line segment H J. Line segment H J goes from side G E to F E. The length of G F is 4 x minus 4, the len
alexira [117]

Answer:

HJ = 8  JE = 4

Step-by-step explanation:

it is given that H is the midpoint of GE and J is the midpoint of FE. According to the midpoint theorem the line segment connecting the midpoint of two sides is parallel to the three side and its length is half of the third side. since JH is connecting the midpoints.

HJ= 1/2 (GF)

x + 3 = 1/2 (4x - 4)

x + 3 = 2x - 2

x = 5

^ Thus meaning the value of x is 5.

Now you just fill into your equations:

HJ = x + 3 = (5)  + 3 = 8

JE = x - 1 = (5) - 1 = 4

Therefore, HJ = 8; JE = 4.

5 0
1 year ago
A race car is driven by a professional driver at 99 . What is this speed in and ? 1 mile = 1.61 kilometers 1 hour = 60 minutes E
Lena [83]

Let us assume that the given speed is in miles per hour.

A race car is driven by a professional driver at 99 mph.

We have to find the speed in kilometer per hour and kilometer per minutes

As 1 mile = 1.61 km

So, 99 miles = 99\times1.61=159.39 kmph

1 km per hour = 0.0166 km per minute

So, 159.39 kmph = 159.39\times0.0166=2.6458 km per minute

Hence, The speed is equivalent to 159.39 kilometers /hour, or 2.645 kilometers/minutes .


7 0
1 year ago
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