Mathematics High School

Which geometric series results in a sum of -69, 905?
O A.
SOB.
O C.
O D.
10
k=0
(-4)*
- }(4) *
Σ-1(5)
k=0
Σ 1 (-5)*
k=0

Answers

Answer 1

The geometric series which result in a sum of -69,905 is: D. [tex]\sum^{9}_{k=0} -\frac{1}{5} (4)^k[/tex]

The standard form of a geometric series.

Mathematically, the standard form of a geometric series can be represented by the following expression:

[tex]\sum^{n-1}_{k=0}a_1(r)^k[/tex]

Where:

a₁ is the first term of a geometric series.r is the common ratio.

Also, the sum of a geometric series is given by:

[tex]S=\frac{a_1(1-r^n)}{1-r}[/tex]

For option A, we have:

r = -5, n = 8, a₁ = 1/4 = 0.25

[tex]S=\frac{0.25(1-(-5)^8)}{1-(-5)}[/tex]

S = -24,414.

For option B, we have:

r = 5, n = 12, a₁ = -1/4 = -0.25

[tex]S=\frac{-0.25(1- 5)^{12})}{1-5}[/tex]

S = -15,258789.

For option C, we have:

r = -4, n = 11, a₁ = 1/5 = 0.2

[tex]S=\frac{0.2(1-(-4)^{11})}{1-(-4)}[/tex]

S = -279,620.

For option D, we have:

r = 4, n = 10, a₁ = -1/5 = -0.2

[tex]S=\frac{-0.2(1-4^{10})}{1-4}[/tex]

S = -69,905.

In conclusion, the geometric series which result in a sum of -69,905 is [tex]\sum^{9}_{k=0} -\frac{1}{5} (4)^k[/tex]

Read more on geometric series here: brainly.com/question/12630565

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Which Geometric Series Results In A Sum Of -69, 905?O A.SOB.O C.O D.10k=0(-4)*- }(4) *-1(5)k=0 1 (-5)*k=0

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A coupon book has a coupon for 40% off of a lift ticket at Mt. Woodstock. A lift ticket usually costs $70. How much would a skier save?

Answers

Answer:

The Skier would save $28 dollars

Step-by-step explanation:

The answer is 28 because 40% of 70 is 28.

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n the diagram, the measure of angle 9 is 85°.

4 lines intersect to form 16 angles. The angles created, clockwise from top left are 1, 2, 3, 4; 5, 6, 7, 8; 9, 10, 11, 12; 13, 14, 15, 16.

Which angle must also measure 85°?
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Answer:

The real answer is angle 5

Step-by-step explanation:

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An infinitely long row of evenly spaced dots that extends in both directions makes up a line. Its length is the only dimension it has. An illustration of a line is a horizontal mark made on a piece of paper. A figure made by two rays that intersect at the same endpoint is referred to as an angle.

Given that in the diagram, the measure of angle 9 is 85°. 4 lines intersect to form 16 angles. The angles created, clockwise from the top left are 1, 2, 3, 4; 5, 6, 7, 8; 9, 10, 11, 12; 13, 14, 15, 16.

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Answers

Answer:

x=15/7

Step-by-step explanation:

7x-3=12

+3=+3

7x=15

/7=/7

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Answers

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A= Yes, it's the equation

B= it's what the problem equals

Step-by-step explanation:

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The integer is -56. The word “lost” represents negative.

Club A has fee of $21 plus $23 monthly Club B has fee of $12 plus $26 monthly When will they be the same and what is it?

Answers

Answer:

hmmmmmmmm

Step-by-step explanation:

The club would be the same on the 3rd month, with the same money fee of $90

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we can reduce it by multiplying 3 with -33
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Answer:

x ≥ -99

Step-by-step explanation:

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primeter 34.ft

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Step-by-step explanation:

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Answers

Answer:

3 dollars per airplane

Step-by-step explanation:

24/8 is 3, where 8 is airplanes and 24 is cost in total

Solve for x. 3 - √x = 0

Answers

Answer:

x = 9

Step-by-step explanation:

3 - √x = 0

Subtract 3 from both sides of the equation

3 - 3 - √x = 0 - 3

-√x = -3

Divide both sides by -1

-√x / -1 = -3 / -1

√x = 3

Take the square of both sides

(√x) ² = 3²

X = 9

The length of an alligator in a zoo is 14 5/6 feet. The Everglades National Park lists the longest alligator ever recorded in Florida at 17 5/12 feet. Which is the difference in their lengths? a 2 3/4 feet b 2 7/12 feet c 3 5/8 feet d 3 5/6 feet

Answers

9514 1404 393

Answer:

  b)  2 7/12 ft

Step-by-step explanation:

The difference is ...

  (17 5/12 ft) - (14 5/6 ft) = (17 -14) ft + (5/12 -5/6) ft

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d-1/2=5/12 what is d??

Answers

Answer:

d = [tex]\frac{11}{12}[/tex]

Step-by-step explanation:

1) To solve for d, isolate it in the equation. So, to get rid of the [tex]-\frac{1}{2}[/tex] with the d, add [tex]\frac{1}{2}[/tex] to both sides.

[tex]d-\frac{1}{2} = \frac{5}{12} \\d - \frac{1}{2} +\frac{1}{2} = \frac{5}{12} + \frac{6}{12} \\d = \frac{11}{12}[/tex]

Thus, d = [tex]\frac{11}{12}[/tex].

Sarah is conducting a science experiment where she initially has a population of 4 fruit flies. Every week the population triples. She writes the function f(x)=4(3)x to predict the population growth. Which rule can also model the function?

Answers

Answer and explanation:

Given that initial population of fruit flies = 4

And population of fruit flies triple every week

If population of fruit flies triple every week then let x represent number if weeks

Therefore function can be modelled thus :

f(x)= 4 + 3x

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Answers

Answer:

option D

Step-by-step explanation:

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Answer:

D

Step-by-step explanation:

(3x - 2)³=
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Answers

Answer:

27x^3 - 54x^2 + 36x - 8

Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Answer:

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Answer:

Step-by-step explanation:

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Using Proportions to Make a Prediction
Of 25 grocery store shoppers, 14 said that their family’s favorite breakfast is cereal bars. Predict how many of 500 families at grocery store would buy cereal bars.





Of 200 radio-controlled cars that were manufactured by one company, 3 were defective. The company manufactures 1000 cars each day. About how many
defective cars would you predict are produced each day?


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Answers

○=> Solution (1) :

Ratio of people who said they like cereal bars to people who said they don't = 14:11

Number of people at a grocery shop = 500

Which means :

[tex] =\tt \frac{14}{25} \times 500 [/tex]

[tex] =\tt \frac{14 \times 500}{25} [/tex]

[tex] = \tt \frac{7000}{25} [/tex]

[tex] \color{plum}= \tt280 \: people[/tex]

Thus, 280 people would buy cereal bars.

▪︎Therefore, out of 500 people, 280 people would buy cereal bars.

○=> Solution (2) :

Ratio of cars which worked well to cars which were defective = 297:3

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Number of defective cars produced each day :

[tex] = \tt \frac{3}{200} \times 1000[/tex]

[tex] =\tt \frac{3 \times 1000}{200} [/tex]

[tex] = \tt\frac{3000}{200} [/tex]

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Thus, 15 defective cars are produced.

▪︎Therefore, out of 1000 cars produced each day, 15 cars are defective.

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​

Answers

Answer:

12, -1 its the answer

Step-by-step explanation:

1. subtract 12 from both sides

2. simplify which looks like this x^2- 11x - 12=0

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Answers

Answer:

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6

Step-by-step explanation:

Answer:

67

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Step-by-step explanation:

Answer:

x=4/3 or -4/3

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Step-by-step explanation:

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Answer:

9.125 9, 9.59

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

144

Step-by-step explanation:

First subtract 180 from 20% of 180.

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What is the answer to 2 + n = 16

Answers

Answer:

Original Equation: 2+n=16

Subtract 2 from both sides: 2+n-2=16-2

Simplify: n=14

Hope this helps!

n = 14
14 + 2 = 16
To do this correctly, subtract 2 on both sides. This cancels out the 2 on the left, leaving you with n = 16-2. 16-2=14

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Answers

when i do proofs, i always have notes that tell me the answer. maybe look in your book, sometimes they r in there! hope this helps
AB is parallel to DC (given).
AB is congruent to DC (given).
Both triangles share line AC...so you can start there and say that AC is congruent to AC (reflexive property).
Since AB and DC are parallel, and they are cut by a transversal (line AC), you can say that angle DCA is congruent to angle BAC (alternate interior angles theorem).
Since you have 2 sides and the included angle congruent on these 2 triangles, you can say that triangles ABC and CDA are congruent by the SAS (Side-Angle-Side) theorem...or just “SAS”

Do Ilboe.org bookmarks
Lesson 2 Review...
< Exit
Topic 5 Assessment
IMPLAYER
Drag each expression to its equivalent expression. Each expression may be used only once.
+ 1
4
1
X +
+1
3
Expression
Equivalent Expression
-
3
4
1
4
+
3
+
3
4
See

Answers

You can do this just believe in your self
It A
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