Mathematics High School

What is the sum of the geometric sequence -4,24,-144...if there are 8 term? A.-959,781 B. 29,637 C. 26,661 D. 959,780 PLEASE HELP

Answers

Answer 1
it is d because I know it guys trust me it is easy.

Answer 2

Answer:

The sum of 8 terms of series is 959,780

D is correct

Step-by-step explanation:

Given: -4, 24, -144, ......

There are 8 terms.

We need to find the sum of 8 terms.

First term, a=-4

Common ratio, r=-6

[tex]a_n=-4\cdot(-6)^{n-1}[/tex]

Sum of 8 term

[tex]Sum=a_1+a_2+a_3+a_4+a_5+a_6+a_7+a_8[/tex]

[tex]Sum=\sum_{n=1}^{8}a_n[/tex]

[tex]Sum=-4+24-144+864-5184+31104-186624+1119744[/tex]

[tex]Sum=959,780[/tex]

Hence, The sum of 8 terms of series is 959,780

Related Questions

The perimeter of a rectangle is 68cm the length is 4cm less than three time its width write a system of equation to find the dimension of the rectangle

Answers

Check photo for details

Broderick answered 21 of the 25 questions on his history test correctly. What decimal represents the fraction of problems he answered incorrectly?

Answers

THE ANSWER IS 0.84 I just multiplied 25 and 21 by four to get 84 over 100 to easily convert to a decimal. 
84 hundredths  

Assuming the cost of cement blocks is $75 per 1,000, how much will it cost for the blocks to build a wall 7ft. tall by 20 ft. long if the block is 6 inches thick and 10 blocks are needed for 1 cubic foot.

Answers

First, we are going to convert the thick of the block from inches to feet. To do that we are going to take advantage of the fact that 1 foot=12 inches to create a multiplier:
[tex]6in* \frac{1ft}{12in} =0.5ft[/tex]

Since the thickens of the wall will be equal to the thickness of each block, the thick of the all is 0.5 feet. 
Now, to find the volume of the wall, we are going to use the formula:
[tex]V_{w}=hlt[/tex]
where
[tex]V_{w}[/tex] is the volume of the wall 
[tex]h[/tex] is the height of the wall
[tex]l[/tex] is the length of the wall 
[tex]t[/tex] is the thickness of the wall
We know for our problem that the wall is 7ft. tall by 20 ft. long, so [tex]h=7ft[/tex] and [tex]l=20ft[/tex]. We also know from our previous calculation that the thickness of the wall is 0.5ft, so [tex]t=0.5ft[/tex]. Lets replace those values in our formula:
[tex]V_{w}=hlt[/tex]
[tex]V_{w}=(7ft)(20ft)(0.5ft)=70ft^3[/tex]

Now we know that the volume of the wall is 70 cubic feet. We also know that 10 blocks are needed for 1 cubic foot, so to find the total numbers of blocks needed, we are going to multiply the volume of the wall by the number of blocks needed for 1 cubic foot:
[tex]TotalBlocks=70ft^3* \frac{10blocks}{1ft^3 } =700 blocks [/tex]

Finally, to find the total cost, we are going to multiply the number of blocks needed by the cost of 1000 blocks:
[tex]TotalCost=700blocks* \frac{75}{1000} =52.5[/tex]

We can conclude that the cost of the wall will be $52.5

If there is a very strong correlation between two variables, then the coefficient of correlation must be

Answers

Final answer:

If there is a very strong correlation between two variables, then the coefficient of correlation must be close to 1 or -1.

Explanation:

The correlation coefficient measures the strength and direction of the relationship between two variables. If there is a very strong correlation between two variables, then the coefficient of correlation must be close to 1 or -1. A correlation coefficient of 1 indicates a perfect positive correlation, meaning the variables increase and decrease together.

A correlation coefficient of -1 indicates a perfect negative correlation, where one variable increases while the other decreases.

Two similar cones have volumes of 8pi and 64pi find the ratios of the radio

Answers

we have that
volume larger cone=64*pi unit³
volume smaller cone=8*pi unit³

we know that
volume larger cone=[scale factor]³*volume smaller cone
[scale factor]³=volume larger cone/volume smaller cone
[scale factor]³=64*pi/(8*pi)-----> 8
[scale factor]=∛8------> [scale factor]=2

Find the ratios of the radio 
[radio larger cone/radio smaller cone] is equal to the scale factor
so
[radio larger cone/radio smaller cone]=2
or 
[radio smaller cone/radio larger cone]=1/2

help a brother out lol

Answers

We know that [tex]f(x)=3x+1[/tex] and [tex]g(x)=x^2-6[/tex]; to find [tex]( \frac{g}{f} )(x)[/tex] we are going to divide [tex]g(x)[/tex] by [tex]f(x)[/tex]:
[tex]( \frac{g}{f} )(x)= \frac{x^2-6}{3x+1} [/tex]
Since the denoinatorcan't be zero: 
[tex]3x+1 \neq 0[/tex]
[tex]x \neq - \frac{1}{3} [/tex]

We can conclude that the correct answer is A. [tex]\frac{x^2-6}{3x+1} [/tex]  [tex]x \neq - \frac{1}{3}[/tex] 

Find 2 positive real numbers that differ by 1 and have a product of 1

Answers

A) x -y =1
B) x * y =1
B) y = 1/x

A) x -(1/x) = 1
Multiplying both sides by "x"
A) x^2 -1 = x
A) x^2 -x -1 = 0

Solving by the quadratic formula
x = 1.618 and
y = .618

Interestingly, the number 1.6180339... is called the "phi ratio" or the "golden ratio".
https://en.wikipedia.org/wiki/Golden_ratio




Which box plot represents the data?
30, 35, 25, 5, 5, 25, 40, 45, 50, 10, 15, 40

Answers

It's the first box plot
Final answer:

The box plot representing the data set 5, 5, 10, 15, 25, 25, 30, 35, 40, 40, 45, 50 will have the values at 5 (minimum), 12.5 (Q1 - 25th percentile), 25 (median), 37.5 (Q3 - 75th percentile), and 50 (maximum). The data is arranged in ascending order, divided into quartiles, and the median of each quartile is found.

Explanation:

To determine which box plot represents the data, we need to obtain the five-number summary of the data which includes the minimum, Q1 (25th percentile), median (Q2 - 50th percentile), Q3 (75th percentile), and the maximum.

Arrange the data in ascending order: 5, 5, 10, 15, 25, 25, 30, 35, 40, 40, 45, 50Determine the minimum and maximum: Minimum is 5, Maximum is 50 Find the median (Q2): With 12 numbers, the median is the average of the 6th and 7th value, so (25+25)/2 = 25 Q1 is the median of the lower half of data (not including Q2): The median of 5, 5, 10, 15, 25, 25 is (10+15)/2 = 12.5 Q3 is the median of the upper half of data (not including Q2): The median of 30, 35, 40, 40, 45, 50 is (35+40)/2 = 37.5

Therefore, the box plot that represents this data will have values at 5 (minimum), 12.5 (Q1), 25 (median), 37.5 (Q3), and 50 (maximum).

Learn more about Box plot here:

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classify 4x^5+2x^4-5x^3+12 by number of terms

Answers

That is 4 terms long. 

The polynomial 4x⁵ + 2x⁴ - 5x³ + 13 has a degree of five and a quadrinomial (four terms).

What is a polynomial?

Polynomial is an expression that involves only the operations of addition, subtraction, multiplication of variables.

Polynomials can be classified based on degree as linear, quadratic, cubic and so on. Polynomials can also be classified based on number of terms.

The polynomial 4x⁵ + 2x⁴ - 5x³ + 13 has a degree of five and a quadrinomial (four terms).

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triangle ABC is similar to Triangle XYZ. AB=5x+25, BC=7x+44, YZ=29, XZ=45, XY=14 Find x

Answers

Answer: The fraction  -109/47 (see note below)

============================================================

Explanation:

Triangle ABC is similar to Triangle XYZ. This means that 
AB/BC = XY/YZ
is one proportion we can form

Plug in the given expressions and then isolate x
AB/BC = XY/YZ
(5x+25)/(7x+44) = 14/29
29(5x+25) = 14(7x+44)
29(5x)+29(25) = 14(7x)+14(44)
145x+725 = 98x+616
145x-98x = 616-725
47x = -109
x = -109/47

note: its possible your teacher made a typo since we got a negative fraction here. I would ask your teacher to double check.

Find the surface area of the equilateral triangular pyramid.

Answers

C is the correct answer



good luck

Answer:

i think the answer is C.

GOOD LUCK!!!

i need help so bad asap

Answers

2x+3=3y+1

Substitute x=2 and y=2
2•2+3=3•2+1 ✔️

Substitute x=4 and y=4
11=13 ❌

Substitute x=3 and y= 3
9=10 ❌

Substitute x=5 and y= 5
13=16 ❌

A sum of money is divided among peter paul and jane in ratio 13:12:7 calculate how much paul gets if amount peter gets more than jane is 78$

Answers

First we define variables:
 x: Money Peter receives
 y: Money Paul receives
 z: Money Jane receives
 We write the system of equations:
 x / y = 13/12
 x / z = 13/7
 x = z + 78
 Solving the system we have:
 x = $ 169
 y = 156 $
 z = 91 $
 Answer:
 Paul gets 156 $

How much greater is the median number of pairs of shoes in the inventory at the Golf pro Shop than the median number of pairs of shoes in the inventory at the Tennis Pro Shop?

Answers

Answer: 20

To get this answer, you find the median of the golf pro shop data (a = 40) and the median of the tennis pro shop data (b = 20). Then you subtract to get a-b = 40-20 = 20. The median of any box plot is the vertical line inside the box plot. 

Answer:

20

Step-by-step explanation:

If a population has a birth rate of 40 individuals per 1,000 per year and a death rate of 30 individuals per 1,000 per year, how will the population change each year

Answers

It will increase by 10 individuals per 100 per year

Which of the following equations could be used to solve the given equation?

9x + 26 + 7x - 17 = 2x + (-3x) + 5x

16x + 9 = 0
16x + 9 = 4x
16x + 11 = 4x

Answers

If we simplify like terms on left and right sides we gwt

16x + 9 =  4x

Its B

Answer:  The correct option is (B) [tex]16x+9=4x.[/tex]

Step-by-step explanation:  We are given to select the correct equation that could be used to solve the following equation :

[tex]9x+26+7x-17=2x+(-3x)+5x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

To find the correct equation, we need to simplify the given equation (i).

From equation (i), we get

[tex]9x+26+7x-17=2x+(-3x)+5x\\\\\Rightarrow (9+7)x+(26-17)=2x-3x+5x\\\\\Rightarrow 16x+9=(2-3+5)x\\\\\Rightarrow 16x+9=4x.[/tex]

Thus, the required equation is [tex]16x+9=4x.[/tex]

Option (B) is CORRECT.

Factor the trinomial below.
x2 – 14x + 45

A. (x – 3)(x + 15)
B. (x – 5)(x + 9)
C. (x – 5)(x – 9)
D. (x – 3)(x – 15)

Answers

Hi there!

The answer is C.
[tex] {x}^{2} - 14x + 45 = (x - 9)(x - 5)[/tex]

To find our answer we are looking for 2 integers. The sum of the integers must be -14 (since it must be equal to the number before the variable x). The product of both integers must be 45. Now we can conclude we are looking for the numbers -9 and -5.

[tex] - 9 + - 5 = - 9 - 5 = - 14 \\ - 9 \times - 5 = 45[/tex]

(Remember that multiplying 2 negatives makes you end up with a positive.)

~ Hope this helps you!

Michael, a freelance editor, charges the rates shown in the table below to edit manuscripts. The cost per page increases as the quality of editing improves. Michael also gives a 5% discount if the entire amount is paid up front. A 2 column table with Type of Editing and Cost per page as the column headings. Express Proofreading costs 2.20 dollars, Basic Proofreading 2.80 dollars, Extended Proofreading 3.90 dollars, and Deep Editing 12 dollars Maria has a 25-page manuscript. The equation below shows the relationship between the total cost of editing 25 pages, T, and the cost per page, c, if she gets the 5% discount: 25c − 0.05(25c) = T Using the equation, what is the best quality of editing that Maria can get done for a maximum of $66.50?

Answers

Using the equation, the cost per page Maria can afford is
  25c -.05(25c) = 66.50
  0.95*25*c = 66.50
  c = 66.50/(0.95*25) = 2.80

The best quality of editing that Maria can afford is ...
  Basic Proofreading

Please help !!

Question posted below

Answers

4 (6) - 3 (4)
24 - 12 = 12

Bruno is designing his next skateboard. the skateboard store has 333 types of grip tape, 131313 types of decks, 777 types of trucks, 4 types of bearings, and 2 types of wheels. how many different skateboards can bruno create

Answers

Did u make this up? Because there are would be loads

Answer:

2184 is what i got.

Step-by-step explanation:

Which number is irrational A)25.23 B) 8 C)square root of 48

Answers

Ans:- √48

Reason:

=> √48 = √(2×2×2×2×3) = 4√3

As, we know√3 is irrational therefore √48 is also irrational no.

Hope this helps!
Hello there, and thank you for posting your question here on brainly.

Short answer: C.

Why?

When a number is irrational, that means it goes on forever. It can't be A, because we know the end is .23. It can't be B because that is just a whole number. The only one that would make sense is answer choice C. √48.

Hope this helped you! ♥

2/3 (a-b) =c, solve for a

Answers

[tex]\dfrac{2}{3}(a-b)=c\ \ \ \ |\cdot3\\\\2(a-b)=3c\\\\2a-2b=3c\ \ \ \ |+2b\\\\2a=3c+2b\ \ \ \ |:2\\\\\boxed{a=\dfrac{3c+2b}{2}}[/tex]

The domain of this graph is {x | x≥−2}.

True.
False.

Answers

The correct answer is:  [B]:  " True ".
_____________________________________________________
Note:  From visual inspecton of the graph shown — [Note:  all images attached refer to the same graph.] :
 
→  We can see that when "x = -2"  ;  there is only one value for "y" ;  and then the "line" of the graph stops for any coordinate corresponding to any "x-value" LESS THAN "-2" ; 

 →  and that there are corresponding "y-coordinates" corresponding to any "x-value that is equal to "-2" and "GREAT THAN  "-2" .
_________________________________________________________



The domain of the graph is {x|x>= - 2}

So the answer is TRUE

HELP ASAP PLEASE!1!! Determine the factors of a2b + 2a2 + 3b + 6. (b + 3)(a2 + 2) (b + 2)(a2 + 3) (ab + 2)(a + 3) (ab + 3)(a + 2)

Answers

The answer is (b+2)(a²+3).
Hope this helps!

Answer:

B. (b + 2)(a2 + 3)

Step-by-step explanation:

Danielle ran 3 1/8 miles on Tuesday and 4 and 1/2 miles on Wednesday and 5 1/4 miles on Thursday how far did Danielle run all together this

Answers

well you would figure out a common denominator for all fractions.

3 1/8

4 1/2

5 1/4

the common denominator would be 8. so multiply all the fractions by the number that would give you 8 on the bottom of the fraction

1/8 x 1 = 1/8

1/2 x 4 = 4/8

1/4 x 2 = 2/8

now you would set up your problem

3 1/8 + 4 4/8 + 5 2/8

first add the fractions

1/8 + 4/8 + 2/8 = 7/8

then add the whole numbers

3 + 4 + 5 = 12

now put the number and fractions together and you have your answer

12 and 7/8

WILL MARK BRAINLIEST!!


Given: x - 5 > -10.

Choose the solution set.

{x | x R, x < -15}

{x | x R, x > -5}

{x | x R, x < 5}

{x | x R, x > 15}

Answers

Answer:

{x | x R, x > −5}

Step-by-step explanation:

x - 5 > -10

+ 5 + 5

__________

x > −5

I am joyous to assist you anytime.

One of the angles of a parallelogram is equal to 40°. Find the rest of the angles.

Answers

angles a and b must add up to 180 degrees. So the angles are 40, 140, 40, 140

The angles of parallelogram are 40°, 140°, 40°, 140°.

What is parallelogram?

A parallelogram is a type of quadrilateral. It is a two-dimensional figure with four sides. The most important properties of a parallelogram are that the opposite sides are parallel and congruent and the opposite angles are also equal.

For the given situation,

One angle of parallelogram = 40°

Let the unknown angle be 'x'

The angles on the same side of the transversal are supplementary, that means they add up to 180 degrees.

⇒ [tex]40+x=180[/tex]

⇒ [tex]x=140[/tex]

The opposite interior angles are equal.

Hence we can conclude that the angles of parallelogram are 40°, 140°, 40°, 140°.

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Need help on this as soon as possible!

Answers

Volume of the prism: V= Ab*h
Area of the base of the prism: Ab=Area of the equilateral triangle
Height of the prism: h=6

Ab=A triangle= sqrt(3)/4*s^2
Ab=sqrt(3)/4*3^2
Ab=sqrt(3)/4*9
Ab=9 sqrt(3)/4

V=Ab*h
V=[9 sqrt(3)/4](6)
V=54 sqrt(3) /4
V=27 sqrt(3) / 2
V=27/2 sqrt(3)




To find the length ab of a small lake, a surrounding veyor measured angle acb to 96, ac to be 91 yards, and bc to be 71 yards. what is the approximate length of the lake?

Answers

Using the law of Cosins that states: For any triangle, a, b and c are sides and C is the angle opposite side c
c² = a² + b² − 2ab cos(C)

Applying this in our problem, we get:
 AB²= 71²+91²- 2x91x71 cos96
AB²=14627.7 yard²
AB=121 yard

A wise man once said, "500 reduced by 3 times my age is 200." What is his age?

Answers

The answer is:  " 100 " .
_________________________________________________________

Explanation:
_________________________________________________________

Let "x" represent the numerical value of [the man's age].

  500 - 3x = 200 ;  Solve for "x" ; 

 Subtract "500" from each side of the equation:

  500 - 3x - 500 = 200 - 500 ; 

to get:

   - 3x = -300 ; 

Now, divide each side of the equation by "-3" ; to isolate "x" on one side of the equation; & to solve for "x" ; 

   - 3x / -3 = -300 / -3 ; 

         x = 100 . 
_______________________________________________________
The answer is:  " 100 " .
_______________________________________________________
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