Answer:
3a. (i). Sequence [tex]V_{n}[/tex] is in Arithematic
(ii). Sequence [tex]W_{n}[/tex] is in Geometric
3b. 2520 Sum of First 20 Arithmetic Sequence
3c. 98292 Sum of First 13 Geometric Sequence
Step-by-step explanation:
According to the Question,
3a. (i) Arithmetic Sequence ([tex]V_{n}[/tex]) = 12 , 24 , 36 , 48 .....
it is a sequence of numbers such that the difference between the consecutive terms is same. example → 24+12=12 , 36-24=12 , 48-36=12 ∵Common Difference=12
(ii) Geometric Sequence ([tex]W_{n}[/tex]) = 12 , 24 , 48 , 96 .....
A geometric series is a series for which the ratio of each two consecutive terms is a constant function. example → 24/12= 2 , 48/24= 2 , 96/48= 2 ∵Common Ratio=2
3b. Sum of first 20 terms of Arithematic sequence, [tex]S_{n}=\frac{n}{2}[2a + (n-1) d][/tex]
(Where, a=first term of sequence , n= number of term & d=common difference)
[tex]S_{n}[/tex]=10[2×12 + 19×12]
[tex]S_{n}[/tex] =10×252 ⇔ 2520
3c. Sum Of First 13 term of a geometric sequence, [tex]S_{n}= \frac{a(r^{n}-1) }{r-1}[/tex]
(Where, a=first term of sequence , n= number of term & r= common ratio)
[tex]S_{n}[/tex]=12([tex]2^{13}[/tex]-1) / 2-1
[tex]S_{n}[/tex]=12×8191 ⇔ 98292
The area of a rectangle is expressed as (15x + 20) square feet. If the width of the rectangle is 5 feet, what is an expression to represent the length of the rectangle.
(No picture)
Answer: Length = (15x + 20) / 5
Step-by-step explanation:
The area of a rectangle is calculated as length × width. Since the area of the rectangle is expressed as (15x + 20) square feet while the width of the rectangle is 5 feet, then the expression to represent the length of the rectangle will be:
Area = length × width
(15x + 20) = length × 5
Length = (15x + 20) / 5
Therefore, the expression is Length = (15x + 20) / 5.
Solving further, the length will be:
= (15x + 20) / 5
= 3x + 4
please help :)))))))m)))e
Answer:
90
Step-by-step explanation:
The exterior angle theorem states that to find the exterior angle, you have to add the interior angles that you know. 60+30 = 90.
THE LENGTH OF THE CAR IS 435 CM. THE LENGTH F THE GARAGE IS 6 M. HOW MANY CENTIMETERS LONGER IS THE GARAGE THAN THE CAR?
Answer:
235cm longer
Step-by-step explanation:
convert 6m into centimeters which gets you 600cm so you do this:
600 - 435= 235cm
therefore the garage is 235cm longer than the car.
Answer:
600-435 = 165 cm the garage 165 cm is longer than the car
1) En 5 horas 4 operarios fabrican 10 artículos, ¿Cuántos artículos fabricaran 3 operarios en 4 horas?
Answer:
So, in 4 hours , 3 operators makes 6 articles.
Step-by-step explanation:
In 5 hours 4 operators make 10 articles, how many articles will 3 operators make in 4 hours?
In 1 hour 4 operator makes 10/5 = 2 articles
In 1 hour , 1 operator makes = 2/4 = 0.5 article
So,
In 1 hour , 3 operators makes = 3 x 0.5 = 1.5 articles
In 4 hours, 3 operation makes = 1.5 x 4 = 6 articles
(x – 3) (x + 6) cuanto es
Answer:
Step-by-step explanation:
(x - 3)(x + 6)
=x(x + 6) -3(x + 6)
=x*x + x*6 - 3*x - 3*6
=x^2 + 6x - 3x - 18
=x^2 + 3x - 18
[tex]\longrightarrow{\green{ \: {x}^{2} + 3x - 18 }}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex](x - 3)(x + 6)[/tex]
➼ [tex] \: x(x + 6) - 3(x + 6)[/tex]
➼ [tex] \: {x}^{2} + 6x - 3x - 18[/tex]
➼ [tex] \: {x}^{2} +3x - 18[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
Diego has 1/4 of a book left to read. There is 6 chapters left each chapter is the same length. What fraction of the book is each chapter
Answer:
Fraction of the book is each chapter = 1 / 24
Step-by-step explanation:
Given:
Fraction of book left to read = 1/4 book
Number of chapter left to read = 6 chapter
Find;
Fraction of the book is each chapter
Computation:
Total number of chapter in book = Number of chapter left to read / Fraction of book left to read
Total number of chapter in book = 4 x 6
Total number of chapter in book = 24 chapters
Fraction of the book is each chapter = Number of book / Total number of chapter in book
Fraction of the book is each chapter = 1 / 24
Find an equation for the perpendicular bisector of the line segment whose endpoints are (1,-3)(1,−3) and (7,-7)(7,−7).
Answer:
[tex]y=\frac{3}{2} x-11[[/tex]
Step-by-step explanation:
[tex]y-\frac{-7-3}{2} =\frac{-1}{\frac{-7-(-3)}{7-1} } (x-\frac{7+1}{2} )\\y+5=\frac{6}{4} (x-4)\\y=\frac{3}{2} x-11[[/tex]
In a box there are n red marbles and three times as many black marbles. There are 36
marbles in the box. How many red marbles are in the box?
Answer:
it is 12
Step-by-step explanation:
for n= 36 divided by 3.
(6.6 × 10⁰) + (7.8 × 10²)
Answer:
786.6
Step-by-step explanation:
Anything to the ^0 is 1 so its 1 x 6.6 + 100 x 7.8
6.6 + 780
786.6
Answer:
786.6
Step-by-step explanation:
Problem:
(6.6 × 10⁰) + (7.8 × 10²)
Step 1 - Parenthesis:
(6.6 × 10⁰) + (7.8 × 10²)
Step 2 - Exponents(Left to Right):
(6.6 × 10^0) + (7.8 × 10^2) = (6.6 × 1) + (7.8 × 100)
Step 3 - Multiply(Left to Right):
(6.6 × 1) + (7.8 × 100) = 6.6 + 780
Step 4 - Add(Left to Right)
6.6 + 780 = 786.6
Step 5 - Answer:
786.6
Remember:Parenthesis
Exponents(Left to Right)
Multiplication(Left to Right)
Division(Left to Right)
Addition(Left to Right)
Subtraction(Left to Right)
Alex and Jill share £100 in the ratio of 1 : 7 work out how much money Alex gets?
Answer:
$87.50
Step-by-step explanation:
If they split the money 1:7 this means they divided it into 8 portions. (Because 7+1=8). So do $100/8=12.5.
(You never specified who got 1 portion and who got 7, so I will assume Alex got the 7)
Let's say Jill got the 1 portion, she gets $12.50.
Let's say Alex got the 7 portion, he got $12.50 x 7 = $87.50
The amount Alex got is £12.5.
What is a ratio?The ratio shows how many times one value is contained in another value.
Example:
There are 3 apples and 2 oranges in a basket.
The ratio of apples to oranges is 3:2 or 3/2.
We have,
Alex and Jill share £100 in a ratio of 1:7.
Total ratio = 8x
So,
Alex = 1x
Amount = 1x/8x x 100 = £12.5
Jill = 7x
Amount = 7x/8x x 100 = £87.5
Thus,
Alex got £12.5.
Learn more about ratios here:
https://brainly.com/question/2462048
#SPJ2
Rockey has lent out 8000 for 5 years
at 15% per nm & borrowed ruppies 6000
for 3 years at 12% per nm, how much
did he gain or loose.
[tex]SI=\frac{P*R*T}{100}[/tex]
[tex]SI=\frac{8000*15*5}{100}[/tex]
[tex]=Rs. 6,000[/tex]
Amount = [tex]8,000+6,000=Rs. 14,000[/tex]
Interest = [tex]Rs. 6,000[/tex] Amount = [tex]Rs. 14,000[/tex]
[tex]SI=\frac{P*R*T}{100}[/tex]
[tex]SI=\frac{6000*12*3}{100}[/tex]
[tex]= Rs.2160[/tex]
Amount = [tex]6,000+2,160=Rs.8,160[/tex]
Interest = [tex]Rs. 21,600[/tex] Amount = [tex]Rs.8160[/tex]
Gain: 6,000 - 2,160
Gain = Rs. 3,840
hope this helps......
please help me answer this question also it’s asking to show work!!
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{\dfrac{9\times10^5}{10\times10^3}}[/tex]
[tex]\mathsf{10^5}[/tex]
[tex]\mathsf{= 10\times10\times10\times10\times10}[/tex]
[tex]\mathsf{= 100\times100\times10}[/tex]
[tex]\mathsf = 10,000\times10}[/tex]
[tex]\mathsf{=\bf 100,000}[/tex]
[tex]\mathsf{10^3}[/tex]
[tex]\mathsf{= 10\times10\times10}[/tex]
[tex]\mathsf{= 100\times10}[/tex]
[tex]\mathsf{= \bf 1,000}[/tex]
[tex]\mathsf{\dfrac{9\times100,000}{10\times 1,000}}[/tex]
[tex]\mathsf{9\times100,000 = \bf 900,000}[/tex]
[tex]\mathsf{10 \times 1,000 = \bf 10,000}[/tex]
[tex]\mathsf{\dfrac{900,000}{10,000}}[/tex]
[tex]\mathsf{= \bf 90}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 90}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Can You help me with this problem I’m stuck
Answer:
Last option,
i.e - 30 miles/1houris correct (☑️)
What is the coefficient in the expression shown?
Answer:
In mathematics, a coefficient is a multiplicative factor in some term of a polynomial, a series, or any expression; it is usually a number, but may be any expression.
Step-by-step explanation:
What is the formula for solving this
Answer:
<ABC = 68degrees
Step-by-step explanation:
From the diagram, the measure of the given angles are supplementary;
9x+5 + 16x = 180
25x = 180 - 5
25x = 175
x = 175/25
x = 7
<ABC = 9x +5
<ABC = 9(7)+5
<ABC = 63 + 5
<ABC = 68degrees
Quadrilateral MNQP has vertices as shown. If the figure is translated 4 units left and 3 units down, what are the coordinates of N'? *
Explanation:
Point N is at (1,3)
We apply the rule [tex](x,y) \to (x-4,y-3)[/tex] which will translate the point 4 units to the left and 3 units down.
The old x coordinate x = 1 becomes x-4 = 1-4 = -3
The old y coordinate y = 3 becomes y-3 = 3-3 = 0
The point N(1,3) moves to N ' (-3, 0)
What is the length of LM?
Answer:
5
Step-by-step explanation:
there, it has to be a 5, L and M's distance is 5 units away
if this answer is wrong, i swear that i will give myself a warning and actually take it seriously
Answer:
5
Step-by-step explanation:
Point M is at 49 and Point L is at 44.
To get to one point from another, you would need to go 5 numbers to the right of point L or left of point M.
Hope this helps
Which of the following is the solution to the equation 25^(z − 4) = 125? (6 points)
Answer:
Sent you this for a reference so please do the needful to me ASAP as I am now working on the same and I will be sending the same
Answer:
z = [tex]\frac{11}{2}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex] , then
[tex]25^{z-4}[/tex] = 125 [ 25 = 5² and 125 = 5³ ]
[tex](5^2)^{z-4}[/tex] = 5³
[tex]5^{2z-8}[/tex] = 5³
Since the bases on both sides are equal, both 5, then equate the exponents
2z - 8 = 3 ( add 8 to both sides )
2z = 11 ( divide both sides by 2 )
z = [tex]\frac{11}{2}[/tex] ( = 5.5 )
You receive $1,000 to put in the bank. You place it in an account that pays 6% annual interest compounded continuously. How much will you have in 12 years? Round the answer to the nearest dollar. SHOW WORK PLZ
Answer:
2054.43$ = 2054$
Step-by-step explanation:
Here, by analyzing the question we get;
Principal= 1000$
Time (In years) = 12
Rate (Annual) = 6%
Now;
First convert R into decimal= 0.06 rate per year
Now solving the equation for A:
A=Pe^(rt)
=1000(2.71828)^(0.06*12)
=$2054.43
If you have any questions, just ask me in the comments
y = x2 + 5x - 14 in factored form need answe asap please
Answer:
y = ( x-2)(x+7)
Step-by-step explanation:
y = x^2 + 5x - 14
What 2 numbers multiply to -14 and add to 5
-2 * 7 = -14
-2+7 = 5
y = ( x-2)(x+7)
3x+2y=4
2x-3y=7
a) 2, - 1
b)2 , 1
c)1 , 2
d)- 2 , - 1
Answer:
a) 2, -1
Step-by-step explanation:
3x + 2y = 4
2y = 4 - 3x
y = 2 - 3x/2
2x - 3y = 7
2x - 3×(2 - 3x/2) = 7
2x - 6 + 9x/2 = 7
4x/2 + 9x/2 = 13
13x/2 = 13
13x = 26
x = 2
3×2 + 2y = 4
6 + 2y = 4
3 + y = 2
y = -1
For #4 - 5, the two polygons are similar. Find the
values of x and y.
60°
18
12
22
x + 4
4.
Answer:
x = 10.7
y = 120°
Step-by-step explanation:
If two polygons are similar, their corresponding angles would be the same, while the ratio of their corresponding sides will be equal.
Therefore, the angles of the two polygons given are equal, while the ratio of their corresponding side length is equal.
Thus:
✔️Find x:
22/(x + 4) = 18/12
22/(x + 4) = 3/2
Cross multiply
(x + 4)3 = 2*22
3x + 12 = 44
Subtract 12 from each side
3x = 44 - 12
3x = 32
x = 32/3
x = 10.7
✔️Find y:
y + 60° = 180° (adjacent angles are supplementary)
y = 180 - 60
y = 120°
Explain how to determine the zeros of the function below, and also
identify the zeros of this function
Answer:
A function is shown. f(x) = x2 + 2x - 35 One of the zeros of the function is What is the other zero of the functions
which information could he have used to determine this?
Answer:
c
Step-by-step explanation:
If it equals the double of one angle that means it is bisected in to 2 equal parts
The formula for the nth term of a sequence is 3n +7
What is the 6th term in the sequence?
Answer:
6th term = 25
Step-by-step explanation:
3n + 7
3 x (6) + 7
18 + 7 = 25
If this helps you, please mark brainliest!
Have a nice day!
Answer:
[tex]25[/tex]
Step-by-step explanation:
[tex] Tn_{n} = 3n + 7 \\Tn _{6} = 3 n + 7 \\ = 3 \times 6 + 7 \\ = 18 + 7 \\ = 25[/tex]
Hope this helps you
Have a nice day!
Need help!!! Please
Answer:
I think it is the first one
Step-by-step explanation:
How many whole numbers less than 2,700,000 end with the digits 2014?
Answer:
1,002,014
Step-by-step explanation:
So I'm just making sure...
Complementary angles add up to 90°
Supplementary angles add up to 180°
I've seen many different answers so I am just double checking. Thanks.
Answer:
This is correct.
Step-by-step explanation:
Answer:
Yes...You are right... hope it helps
if a×b=a^b what is the value of 2 ×3
Answer:
8
Hope this answer is right!!
Explanation:
Given, a×b=a^b=2 ×3
=2^3
=8
So, the value of 2 ×3 =8.
someone help me pleaseeeeee
Answer:
option B
Step-by-step explanation:
Top right graph
Answer:
b
Step-by-step explanation:
pls mark me brainliest