Answer:
The nth term of the sequence will be: n²/n+1
Step-by-step explanation:
Given the sequence
1/2 , 4/3 , 9/4 , 16/5
The values in the numerator are:
2, 3, 4, 5
It is clear that every successive value in the numerator can be determined by adding 1 to the previous value.
i.e.
3 = 2+1
4 = 3+1
5 = 4+1
Thus, the nominator contains the sequence rule: n+1
The values in the denominator are:
1, 4, 9, 16
It is clear that every value in the denominator is the square of the sequence number.
i.e.
1 = 1²
2 = 2²
3 = 3²
4 = 4²
5 = 5²
so
The denominator defines the rule n².
Thus, the nth term of the sequence will be: n²/n+1
Can you help me -3-
only the first problem (a)
Answer: -18
Step-by-step explanation:
Turn 2 1/4 into an improper fraction --> 9/4
Now the expression is:
9/4 x -8
Multiply 9 x -8 and that gives you -72...
Then, divide 4 from -72 which is -18!
Hope that helped!
Aisha wants to paint the four walls of her living room.
Each wall is 2.4 m high and 3.7 m long.
One wall has a door of 2 m by 0.7 m.
Tins of paint cost £12 per 1.5 L tin.
Each litre of paint can cover 8 m2 of wall.
There is an offer of: Buy 2 tins get the 3rd at half price.
How much will Aisha pay to paint her living room?
9514 1404 393
Answer:
£30
Step-by-step explanation:
The total area of the four walls is ...
A = 4 × LW
A = 4 × (2.4 m)(3.7 m) = 35.52 m²
Subtracting the area of the door, we find the painted area to be ...
35.52 m² -(2 m)(0.7 m) = 34.12 m²
Painting this area will require ...
(34.12 m²)/(8 m²/L × 1.5 L/tin) = 2.8433... tins
Aisha will need to buy 3 tins of paint, for which she pays 2.5 times the price of 1 tin:
2.5 × £12 = £30 . . . . Aisha's cost to paint her living room
£25 or £20.10
Step-by-step explanation:
calculate the area to be painted:
2.1x4.5= 9.45m^2 for each wall
x4= 37.8m^2
area of door= 1.8x0.9= 1.62m^2
subtract the area of the door from the wall area
37.8-1.62= 36.18m^2 to be painted
divide the area by the area that 1L of paint can cover
16.18/12= 3.015 L needed
if 1.5L= £10 then, 3L= £20. she needs 2 cans + an extra 0.015 L- so another can (3 cans total) add price up.
£30- but buy 2 get 3rd 1/2 price, so take £5 off. price is £25
or
calculate price for 0.015L
1.5=£10
divide both sides by 100
0.015= £ 0.10
if 1.5L= £10 then, 3L= £20. she needs 2 cans + an extra 0.015 L
£20+£0.10= £20.10
I DONT KNOW IF THIS IS RIGHT but hope it helps :)
27÷819=
give me the quotient for 27÷819
Answer:
.032967033
Step-by-step explanation:
Answer:30.33333333 or just 30.3
Step-by-step explanation:
30.33333333333333
What is 3.116372 rounded to the nearest hundred thousandths place?
Answer:
3.116370
Step-by-step explanation:
1. Find hundred thousandths place: the 7
2. Look at the number behind it (2).
3. 2 is 4 or less so it would be 3.1116370.
4. The numbers after the place you round ( Here hundred thousandths)
turn into zeros.
A.it is a function
B.it is not a function
The table of ordered pairs shows the coordinates of the two points on the
graph of a function. Which equation describes the function?
Answer:
[tex]y=\frac{-1}{2} x+1[/tex]
Step-by-step explanation:
In this case , we'll have to carry out several steps to find the solution.
Step 01:
Data
x y
-2 2
4 -1
Equation of the line =?
Step 02:
Equation of the line
Slope formula:
[tex]m=\frac{y2-y1}{x2-x1} =\frac{-1-(2)}{4-(-2)}=\frac{-3}{4+2} =\frac{-3}{6} =\frac{-1}{2}[/tex]
Point-slope form of the line
[tex](y-y1)=m(x-x1)[/tex]
[tex](y-2) =\frac{-1}{2}(x-(-2))\\y=\frac{-1}{2} x-\frac{2}{2}+2\\y=\frac{-1}{2}x-1 +2\\\\y=\frac{-1}{2} x+1[/tex]
The answer is:
The equation of the line is [tex]y=\frac{-1}{2} x+1[/tex]
PLEASE MARK ME AS BRAINLIEST
Please I am on a timer
Answer: g=5
Step-by-step explanation:
I’ll DO ANYTHING IF U ANSWER THIS WHOLE THING
Answer:
13/12
Step-by-step explanation:
solve the system of equations
4x - 3y = 8 and 2x + 5y = -9
I need a math genius’ help on this pls :)
Answer:
4x-3y=8
Simplifies to x=3/4y+2
2x+5y=-9
Simplifies to -5/2y+-9/2
Find the value of x
?????
Answer:
2x+57°+x=180 ( angle sum property of triangle)
3x=123
x=41
a half of 48 divided by6multiplied by4 plus 3 minus 2
Answer: 17
Step-by-step explanation: thx
Answer: 9 using pemdas
Step-by-step explanation: parenthesis, expressions, multiplication, division, addition, subtraction.
What’s the ANSEWR to this
Answer:
20.25
Step-by-step explanation:
i think its asking for the long side
the pythagorean theorem states that in a right triangle a^2+b^2=c^2
a is 19
b is 7
c is the long side
19^2= 361
6^2= 49
361+49=410
410 =c^2
square root of 410 = ~20.25
Answer:
[tex]hypotenuse = \sqrt{ {19}^{2} + {7}^{2}} \\ = \sqrt{361 + 49} = \sqrt{410} \\ = 20.25[/tex]
20.25 is the right answer.
What expression can you substitute for y in
this equation?
-4y + x = -27
Enter the correct answer.
Answer:
1/4x+27/4
Step-by-step explanation:
Here's the equation: -4y+x=-27
We'll need to isolate y on one side
subtract x from both sides
-4y=-x-27
divide everything by -4
y=1/4x+27/4
So you can substitute 1/4x+27/4 for y.
hope this helps!
double s, then multiply t by the result
*INCLUDE ANY PARENTHESES OR MULTIPLICATION SYMBOLS IF NEEDED!!!!*
convert 8x-10y=20 into slope intercept form
Answer:
y=⅘x-2
Step-by-step explanation:
8x-10y=20
-10y=-8x+20
y=⅘x-2
Which expressions are equal to 105?
Answer:
2•2²×100+5.
Step-by-step explanation:
What percent of offspring will be blue eyed?
0%
25%
50%
100%
Please I need help
Answer:
I believe the answer is 0% because the blue eye trait is recessive.
Step-by-step explanation:
Hope this helps!
✧◝(⁰▿⁰)◜✧
Answer:
25%
Step-by-step explanation:
blue eyes are the resesive gene but there is still a 25% chance.
Plz help I will name you brainliest plz and thank you
Answer:
B
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Simplify expression: 6 - 36 - 3 = 3Look at screenshot belowI hope this helps!
Select the correct answer.
Simplify the following expression.
1
OA
OB. 5(-3)
О с.
53
OD.
Answer:
B) 5(-3) either way its telling you to multiply 5 by -3
The simplifying form of the expression 5⁻³ is,
⇒ 1 / 5³
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The expression for simplifying is,
⇒ 5 ⁻³
Now,
By rule of exponent;
⇒ a⁻ⁿ = 1 / aⁿ
Hence, We can formulate simplifying form of the expression 5⁻³ is,
⇒ 5 ⁻³
⇒ 1 / 5³
Thus, The simplifying form of the expression 5⁻³ is,
⇒ 1 / 5³
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ7
Which rational function has vertical asymptotes at x=-3 and 9,a horizontal asymptote at y=1, and an x-intercept of 0?
•h(x)=x^2/x^2-6x-27
Answer:
Yes that function does •h(x)=x^2/x^2-6x-27
Step-by-step explanation:
Yes that function does •h(x)=x^2/x^2-6x-27
50/21 as a 10th of a percent
Answer:
20 percent
Step-by-step explanation:
NEED HELP PLEASE 20 POINTS!!!!
Can someone please explain slope in a way that might make sense.
What value of x is in the solution set of 4x - 12 < 16 + 8x?
0-10
O-9
08
O 7
Answer: 7 and 8
Step-by-step explanation:
[tex]4x-12 < 16+8x\\\\-12 < 16+4x\\\\-28 < 4x\\\\-7 < x \\\\x > -7[/tex]
So, both 7 and 8 are in the solution set.
Riko wants to find the distance between the points (−2, −3) and (2, −5). His work is shown. StartAbsoluteValue negative 3 EndAbsoluteValue + StartAbsoluteValue negative 5 EndAbsoluteValue = 3 + 5 = 8. The distance is 8 units. Riko correct? Explain why or why not.
Answer:
Riko is wrong because she uses the wrong formula.
Step-by-step explanation:
Given the coordinate points (-2, -3) and (2, -5)
We are to find the distance between the two points
Using the formula:
D = √(x2-x1)²+(y2-y1)²
From the coordinates x1 = -2, y1 = -3, x2 = 2 and y2 = -5
Substitute
D = √(2-(-2))²+(-5-(-3))²
D= √(4)²+(-2)²
D = √16 + 4
D = √20
D = √4*√5
D = 2√5
This shows that Riko is wrong because she uses the wrong formula.
Answer:
No, Riko is not correct. The points do not have the same x-coordinates. If you connect the points, they do not form a horizontal or vertical line, so you cannot count spaces or use absolute value to find the distance.
Step-by-step explanation:
Find the area of a trapezium is 4cm 4cm, 7cm
Step-by-step explanation:
1/2×(4+7)×4
1/2×11×4
11×2
22cm2
HELP PLEASE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! ! :)
find the solution set.
Part A: m< -6
---
Part B: a < 25
---
Part C: x < 16
---
Part D: p > 8
answers for the 2 boxes please :)
i don’t understand how to do this 3a + 7 + 2(3 +a)
Answer:
5a+13
Step-by-step explanation:
The football team has a total of 25 jerseys. There are 5 medium-sized jerseys. What percent of the jerseys are medium-sized jerseys?
% are medium-sized jerseys
Answer:
20%
Step-by-step explanation:
There are 5 medium shirts out of 25 shirts.
5/25 = 0.20
It need to be a percent instead of a decimal so you times it by 100.
0.20*100 = 20%
Answer:
25
Step-by-step explanation: