Answers
Answer:
[tex] S_8= 191.997071\approx 192[/tex]
Step-by-step explanation:
Given series is: 144, 36, 9,...
Here. 36/144 = 1/4, 9/36 = 1/4
Since, the ratio any two consecutive terms is same.
Therefore, it is a geometric progression.
So,
Common ratio (r) = 1/4= 0.25
First term (a) = 144
n = 8
To find: [tex] S_8[/tex]
[tex] \huge \because S_n= \frac{a(1-r^n)}{1-r}[/tex]
[tex] \huge \therefore S_8= \frac{144[1-(0.25)^8]}{1-0.25}[/tex]
[tex] \therefore S_8= \frac{144[1-0.00001525878]}{0.75}[/tex]
[tex] \therefore S_8= \frac{144[0.999984741]}{0.75}[/tex]
[tex]\huge \therefore S_8= \frac{143.997802734}{0.75}[/tex]
[tex]\huge \therefore S_8= 191.997071[/tex]
Related Questions
The Bar Chart shows the weights of 10 dogs entered in a local dog show.
Which statement is true about this data set?
A. The range is 94 lb.
B. The mean is 35.5 lb.
C. The median is 45.1 lb.
D. The mode is 14 lb.
Answers
Answer:its A. The range is 94 lb.
Step-by-step explanation: i took the Question
NEED HELP ASAP!!!! NO LINKS!!!
Answers
Answer:
Ngl I don't know what the F!CK this is
I need some help please.
Answers
Answer:
[tex](-5,-4)[/tex]
Step-by-step explanation:
A 180 counterclockwise rotation of (5, 4).
The transformation rule is as follows:
[tex](x,y)[/tex] turns into [tex](-x,-y)[/tex].
solve the system of equations
13х – 6у = 22
x=y+6
Answers
Answer:
x = -2, y = -8
Step-by-step explanation:
13(y + 6) - 6y = 22
=> 13y + 78 - 6y = 22
=> 7y = -56
=> y = -8
x = -8 + 6
=> x = -2
What is the difference written in scientific notation?
1.3 x 106 – 6.8 x 105
8.84 x 10'
-6.67 x 10
6.2 x 103
-5.5 x 10
Done
Answers
1.3 × 10^6 - 0.68 × 10^6 =
( 1.3 - 0.68 ) × 10^6 =
0.62 × 10^6 =
6.2 × 10^5
Find the circumference.
Use 3.14 for it.
r = 2 m
C = [?] m
C=7d
Answers
Answer:
12.56
Step-by-step explanation:
the equation for a circumference is C=2pi r
C=2*3.14*2
2*3.14=6.28
6.28*2=12.56
WILL MARK BRAINLIEST suppose a-1/a=5. Find a^2 + 1/a^2
Answers
Answer:
a= 1/(a-5) then a2-1/A2 = 5√29
Step-by-step explanation:
HOLA, I'm being timed :)
Find the value of c that makes x2 + 10x + c a perfect square trinomial
a. –25
b. 10
c. –5
d. 25
thank you <3
Answers
hey lol pls help <3 thank u sm
Answers
Answer: m<8 = 58 degrees
m<5 = 122 degrees
Step-by-step explanation:
Width = 1 ft; height = 20 ft ; length = 5ft
Does anyone know the volume
Need now!
Answers
Answer:
100 cm 3
Step-by-step explanation:
20 x 1 = 20
20 x 5 = 100 cm 3
100 cm 3 is the volume
What is the area of this figure?
Answers
Area = ( 4 + 14 ) × 10 / 2 + 1/2 × 14 × 8
Area = 180/2 + 7 × 8
Area = 90 + 56
Area = 146 cm^2
Please help, no links.
Answers
Answer:
pyothorahas rule is show
math problem please help me
Answers
Answer:
55 centimeters
Step-by-step explanation:
It is a right triangle which means it will add up to 90 degrees. You would start by adding 20 and 15 which is 35 and then subtract 35 from 90 to get 55. I hope this helped :)
[tex]\sf\pink{c\:=\:25\:centimetres}[/tex] ✅
Step-by-step explanation:-
[tex]\sf\purple{Using\:Pythagoras\:theorem, \:we \:have}[/tex]
[tex]({Perpendicular})^{2} + ({Base})^{2} = ({Hypotenuse})^{2} \\ ➪\:( {15 \: cm})^{2} + ({20 \: cm})^{2} = {c}^{2} \\ ➪ \: {c}^{2} = 225 \: {cm}^{2} + 400 \: {cm}^{2} \\ ➪ \: {c}^{2} = 625 \: {cm}^{2} \\ ➪ \: c \: = \sqrt{625 \: {cm}^{2} } \\ ➪ \: c \: = \sqrt{25 \times 25 \: {cm}^{2} } \\ ➪ \: c = \sqrt{ ({25 \: cm})^{2} } \\ ➪ \: c \: = 25 \: cm[/tex]
[tex]{\boxed{\mathcal{\blue{Therefore,\:the\:length\:of\:the\:hypotenuse\:is\:25\:cm.}}}}[/tex]
[tex]\boxed{Note:-}[/tex]
Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides."[tex]\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆[/tex]
The ___ states that the order in which two numbers are multiplied won’t effect the answer.
A. Commutative property of addition
B. Commutative property of multiplication
C. Associative property of addition
D. Associative property of multiplication
E. Distributive property
Answers
Answer: Commutative property of multiplication
Step-by-step explanation:
The commutative property is a math rule that says that the order in which we multiply numbers does not change the product. - Khan Academy
The length of a rectangle is 5 metres less than twice the breadth. If the perimeter is 50 meters,find the length and breadth
Answers
As per the given question, it is stated that the length of a rectangle is 5 m less than twice the breadth.
Assumption : Let us assume the length as "l" and width as "b". So,
[tex] \twoheadrightarrow \quad\sf{ Length =2(Width)-5} [/tex]
[tex] \twoheadrightarrow \quad\sf{ \ell=(2b-5) \; m} [/tex]
Also, we are given that the perimeter of the rectangle is 50 m. Basically, we need to apply here the formula of perimeter of rectangle which will act as a linear equation here.
[tex]\\ \twoheadrightarrow \quad\sf{ Perimeter_{(Rectangle)} = 2(\ell +b) } \\[/tex]
l denotes length b denotes breadth[tex]\\ \twoheadrightarrow \quad\sf{50= 2(2b-5+b)} \\[/tex]
[tex]\\ \twoheadrightarrow \quad\sf{50= 2(3b-5)} \\[/tex]
[tex]\\ \twoheadrightarrow \quad\sf{50= 6b - 10} \\[/tex]
[tex]\\ \twoheadrightarrow \quad\sf{50+10= 6b} \\[/tex]
[tex]\\ \twoheadrightarrow \quad\sf{60= 6b} \\[/tex]
[tex]\\ \twoheadrightarrow \quad\sf{\cancel{\dfrac{60}{6}}=b} \\[/tex]
[tex]\\ \twoheadrightarrow \quad\underline{\bf{10\; m = Width }} \\[/tex]
Now, finding the length. According to the question,
[tex] \twoheadrightarrow \quad\sf{ \ell=(2b-5) \; m} [/tex]
[tex] \twoheadrightarrow \quad\sf{ \ell=2(10)-5\; m} [/tex]
[tex] \twoheadrightarrow \quad\sf{ \ell=20-5\; m} [/tex]
[tex]\\ \twoheadrightarrow \quad\underline{\bf{15\; m = Length }} \\[/tex]
Therefore, length and breadth of the rectangle is 15 m and 10 m.
Si consideras como base uno de los rectángulos de dimensiones de 5cm y 3cm ¿cuanto mide la altura de ese prisma?
Answers
Respuesta:
h = V / 15
Explicación paso a paso:
El volumen de un prisma rectangular se calcula usando la relación:
Largo ancho alto
Donde, largo y ancho son la dimensión de la base
Por eso,
Volumen = Base * altura
Volumen = (5 cm * 3 cm) * altura
De la pregunta, no se da el volumen, por lo tanto, tomamos el volumen como V en otro para calcular la altura, h
V = 15h
Divide ambos lados entre 15
V / 15 = 15h / 15
V / 15 = h
Write 1 2/11 as a decimal
Answers
Answer: 1.18. 18 is repeated.
Explanation is below.
Drag numbers to the table so it shows a proportional relationship between x and y.
Answers
Answer:
the second box for y is 9
the third box for x is 2.5
im not sure about the third box for y
please help me figure out what coordinates S is in please
Answers
Answer:
(0, -2)
Step-by-step explanation:
The x- and y-coordinates indicate the position of a point in the 2D coordinate plane relative to the origin. The coordinates are written as an ordered pair of numbers (x, y), where x indicates horizontal position and y indicates vertical position.
Example
The position of the point in the figure below is specified by the ordered pair, (6, 4). 6 is the x-coordinate and 4 is the y-coordinate of the point.
Suppose the radius of a circle is 3 units What is its circumference
Answers
Answer:
18.8496 units
Step-by-step explanation:
circumfrence = 2*pi*r
plug in 3
c=2*pi*3 = 18.8496 units
x = 6 is a solution to the inequality x– 5 < 10
Answers
Step-by-step explanation:
I am not sure what your problem is.
is this one line just a question to you ? is x=6 a solution ?
if that is the case then ... yes, x=6 is a solution to the inequality.
x - 5 < 10
x < 15
so, 6 < 15 is true, therefore, x=6 is a valid solution
Abigail is 8 years older than Cynthia. Twenty years ago Abigail was three times as old as Cynthia
was. How old is each of them now?
Plz explain
Answers
Someone help me please
Answers
Answer: I think 10
Step-by-step explanation: cuz area is length x height and basically you just do square root of 100 Bc thags a square so the sides should be equal
0.4567304 x 2.5678093 = ?
Answers
Answer:
1.17279656871
Step-by-step explanation:
Answer:
1.72796569
Step-by-step explanation:
0.4567304 x 2.5678093 = 1.72796569
plzz help...
Which of the following statements is true? A Diameter x pi= circumference B. Circumference x pi= diameter c. Diameter pi= circumference D. Diameter x circumference = pi
Answers
Answer: A Diameter x pi= circumference
Step-by-step explanation:
The circumference of a circle is given as:
= 2πr
where,
π = pi = 3.14
r = radius
Note that diameter = 2 × radius.
Therefore, circumference = 2πr = πd
Therefore, circumference will be pi multiplied by diameter. The correct option is A.
The correct statement is:
A. Diameter x pi = circumference
I need answer immediately!!!!!
Answers
Answer:
4 PM
Step-by-step explanation:
At 4 PM the temperature reached 68 degrees Fahrenheit??
Answer:
[tex]4\:\text{PM}[/tex]
Step-by-step explanation:
The first point where [tex]y=68[/tex] occurs at [tex]x=4[/tex], hence [tex]\boxed{4\:\text{PM}}[/tex]
hello please help i’ll give brainliest
Answers
Answer:
Applied force
Step-by-step explanation:
help please‼️ ASAP.......
Answers
Answer:
Step 1
Step-by-step explanation:
They're all wrong expansions but step 1 was where he made his first error... He shifted the bracket putting 3x inside the bracket... While the other steps the first expansion of 3x eliminating the bracket was correct.
The correct expansion is meant to be 3x + 21 + 5 = 3x + 26
Find the value of x.
Answers
Answer:
x = 5
Step-by-step explanation:
TU is a tangent segment with length 6. RT is a secant segment.
In the circle, the square of the tangent is equal to the product (multiply) of the part of the secant outside the circle and the secant's entire length.
Words don't work well here, do they!
In symbols, (ST)(RT) = (TU)^2
[tex]4(x+4)=6^2\\4x+16=36\\4x=20\\x=5[/tex]
find the surface area of this figure
Answers
Answer:
427.37 ft2
Step-by-step explanation:
can you see the photo i sent
i hope it can help you