Answer:[tex]a^5=\frac{4}{5}[/tex]
Step-by-step explanation:
The 5th term of the arithmetic sequence is 4/5
What is Arithmetic Progression?
An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"
The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is Tn = a + (n - 1) d, where Tₙ = nth term and a = first term. Here d = common difference = Tₙ - Tₙ₋₁
Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]
Given data ,
Let the arithmetic progression be represented as A
Now , the value of A is
A = 1/5 , 7/20 , 1/2 , 13/20 ....
Now , the first term of the arithmetic sequence is a₁ = 1/5
The second term a₂ = 7/20
The common difference d = second term - first term
So , the common difference d = 7/20 - 1/5
The value of d = 3/20
Now , the nth term of the AP is given by
Tn = a + (n - 1) d, where Tₙ = nth term
Substituting the values in the equation , we get
T₅ = ( 1/5 ) + ( 5 - 1 ) ( 3/20 )
On simplifying the equation , we get
T₅ = ( 1/5 ) + ( 4 x 3 ) / 20
T₅ = 1/5 + 12/20
T₅ = 16/20
T₅ = 4/5
Therefore , the value of T₅ is 4/5
Hence , the 5th term of the arithmetic sequence is 4/5
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Please help ASAP.. I don’t understand.
Y intercept means x = 0, on x= 0 y is also zero so the cordinate is (0,0)
Find the inverse of the following function: f(x)={(2, 4), (4, 16), (6, 36), (8, 64)}
solve for x…………………..
Answer:
10
Step-by-step explanation:
10+x+2=-8+3x
12+x =-8+3x
12+8=3x-x
20=2x
X=20/2
X=10
6-6x=5x-9x-8
what is the value of x?
Answer:
x=7
Step-by-step explanation:
6-6x=5x-9x-8
Combine like terms
6-6x=-4x-8
Add 6x to each side
6-6x+6xx = -4x-8+6x
6 = 2x-8
Add 8 to each side
6+8 = 2x-8+8
14 = 2x
Divide each side by 2
14/2 =2x/2
7 = x
Answer: x=7
Solution:
Writing out the problem,
6-6x=5x-9x-8
Solve for "5x-9x," which is -4x,
6-6x=-4x-8
Add 4x to both sides
6-6x+4x=-4x+4x-8
Since -6x+4x=-2x and of course -4x+4x=0
-2x+6=-8.
Subtract 6 from both sides of the equation,
-2x+6-6=-8-6.
Since 6-6=0 and -8-6=-14,
-2x=-14
Finally, divide both sides of the equation by -2,
-2x/-2=-14/-2
-2x/-2=x
-14/-2=7
So, therefore x=7.
x=7
Hope this helps :)
What is Decrease 90 by 1/2
Answer:
45
Step-by-step explanation:
[tex]\frac{1}{2}[/tex] × 90 = 45
Decrease means to subtract the amount by 45, then
90 - 45 = 45
Question in image. Explain it too
Answer:
last one
Step-by-step explanation:
The square root of 75 is 5√3, which can also be written as 5√-1+4
At a bike store, the number of bicycles in stock is equalto the number of tricycles in stock. If the total numberof bicycle and tricycle wheels is 55, how manytricycles are there?
(A) 9
(B) 10
(C) 11
(D) 22
(E) 33
Step-by-step explanation:
Since, they both are equal. We may assume as a single variable i.e (x).
Number of wheel in tricycle = 3Number of wheel in bicycle = 23x + 2x = 55
5x = 55
x = 55/5
x = 11
No. of tricycle = 3x = 3(11) = 33.
The number of tricycles are 11.
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.
Given that;
At a bike store,
The number of bicycles in stock is equal to the number of tricycles in stock.
And, The total number of bicycle and tricycle wheels is 55.
Now,
Let the number of bicycle or tricycle = x
And, Number of wheels in bicycle = 2
Number of wheels in tricycle = 3
So, We can formulate;
⇒ 2x + 3x = 55
⇒ 5x = 55
⇒ x = 11
Thus, The number of tricycle = x = 11
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FIND THE X AND Y-INTERCEPT FROM THE EQUATION GIVEN BELOW
Y=2X +4
Jen is planning a trip to
Chicago. Her flight is $350, and
the hotel she would like to stay
at is $145 per night. If her
budget is $1800, how many
nights can she stay in Chicago?
please show the steps of the equation
Answer:
$1800-$350=$1450
$1450÷$145=10 nights
Solve one from group b pls show work and steps
What is the GCF of 10 and 21?
Answer: 1
Step-by-step explanation:
The GCF of 10 and 21 is 1
Hi i want to ask you something Emma wrote thirty-six thousand,forty-two as 3,642.Explain what she did wrong.Then write the number correctly.
Answer:
Hi.
thirty-six thousand,forty-two is written as 36,042.
3,642 is three thousand, six hundred forty-two.
Step-by-step explanation:
solve this plz, who will solve this problem will be marked as brainliest
Answer:
CP of each lemon = 1/4
SP of each lemon = 1/3
profit =
[tex] \frac{1}{3} - \frac{1}{4} [/tex]
profit = 1/12
profit percentage =(1/12)/(1/4)*100
percentage = 33.3%
Mark me as brainliest ❤️❤️
HELP QUICK PLSSSSSS Distribute 8(4+x)
can someone pls help me with this and show the steps into getting the answer pls?
A coin when left from certain height starts moving towards the earth under the influence of......... *
When a coin is left from a certain height starts moving towards the Earth under the influence of gravity.
Gravity is a term from physics that refers to the natural phenomenon that causes objects with mass to be attracted to each other. On Earth, gravity is equivalent to 9.8 m / s² and this makes objects fall towards the ground.
According to the above, if a coin is dropped from a certain height it will go towards the ground because gravity will attract it and it will take an acceleration of 9.8 m / s².
According to the above, the answer is gravity, because this is the natural phenomenon that influences the direction the coin takes.
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The trajectory of a golf ball in a chip from the rough has a parabolic pattern. The height, in feet, of the ball is given by the equation ℎ()=−.152+3.2
Answer:
maximum height of 17.07 feet about 10.67 feet from the club
returns to the ground 21.33 feet away
Step-by-step explanation:
The maximum height of 17.07 feet about 10.67 feet from the club and returns to the ground 21.33 feet away.
To fill in the blanks.
What is trajectory?
The path followed by a projectile flying or an object moving under the action of given forces.
The vertex of the quadratic ax²+bx+c is given by x=-b/(2a). For this quadratic function.
Given that :
x = -(3.2)/(2(-0.15)) = 32/3 = 10 2/3 . . . . feet horizontally from the club
The maximum height is the function value at that point.
h(10 2/3) = (-0.15(10 2/3) +3.2)(10 2/3) = 1.6(10 2/3) = 17 1/15
So, the ball reaches a maximum height of 17 1/15 feet at a horizontal distance of 10 2/3 feet from the club. The ball's flight is symmetrical about the peak, so it returns to the ground about 21 1/3 feet away.
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Independent Practice
x
1
2
3
4
y
1
8
27
64
Which function models the data in the table?
A.
none of these
B.
y = 3x
C.
y = 3x
D.
y = x3
What is the value of the expression 4x+y2y−x when x = 2 and y = 4?
Answer:
38
Step-by-step explanation:
4x+y2y−x
=4*2+4*2*4-2
=8+32-2
=40-2
=38
The quotient of 9 more than the radius, r, and 6
Answer:
(9 + r)/6
Step-by-step explanation:
By rounding to 1 significant figure, estimate
6.4 x 7.35
Answer:
6.4 x 7.4 =47.36
Step-by-step explanation:
7.35 rounded will be 7.4
I need help please!!
Answer:
(-2, 3)
Step-by-step explanation:
For x-4 you go left four places and y+6 go up 6 places
Answer:
(-2, 3)
Step-by-step explanation:
Point P has coordinates (2, -3).
The translation is (x - 4, y + 6) which means subtract 4 from the x-coordinate and add 6 to the y-coordinate.
The x-coordinate of point P is 2. Subtract 4 from it, you get -2.
The y-coordinate of point P is -3. Add 6 to it to get 3.
The coordinates of the translated point are (-2, 3).
Solve 4x−9y=13 for y.
Answer:
[tex]y = - \frac{13}{9} + \frac{4}{9} x[/tex]
Step-by-step explanation:
[tex]4x - 9y = 13[/tex]
[tex]4x - 9y - 4x = 13 - 4x[/tex]
[tex] - 9y = 13 - 4x[/tex]
[tex]y = 9y \div (9) = (13 - 4x) \div ( - 9)[/tex]
[tex]y = (13 - 4x) \div( - 9)[/tex]
[tex]y = 13 \div ( - 9) - 4x \div ( - 9)[/tex]
[tex]y = - 13 \div 9 - 4x \div ( - 9)[/tex]
[tex]y = - \frac{13}{9} - 4x \div ( - 9)[/tex]
[tex]y = - \frac{13}{9} + 4x \div 9[/tex]
[tex]\boxed{\green{y = - \frac{13}{9} + \frac{4}{9} x, x E R}}[/tex]
please help me is for my homework
I hope this help you
5. Solve s = n(a + 1) for a
(please help i forgot how to solve with the parenthesis)
Answer:
a = s/n - 1
Step-by-step explanation:
s = n(a + 1)
(switch the sides of the equation)
n(a + 1) = s
(now, divide both sides by n)
n(a + 1) = s
/n /n
-----------------
a + 1 = s/n
-1 -1 (subtract both sides by 1 now)
------------------
a = s/n - 1
Answer:
a = s/n - 1, hope you get it right
Given that ∠CEA is a right angle and Ray E B bisects ∠CEA, which statement must be true?
∠BEA ≅ ∠CEA
∠CEB ≅ ∠CEA
m∠CEB = 45°
m∠CEA = 45°
Answer:
option (C) i.e m∠CEB = 45°
Step-by-step explanation:
have a great day!
Answer:
C. m∠CEB = 45°
A rectangle has side lengths of 8m and 3m. What is the area?
Answer:
24m^2
Step-by-step explanation:
to find the length of a rectangle you do base x height. this means that 8m x 3m is 24m^2
What are the additive and multiplicative identities for any rational number
Step-by-step explanation:
natural numbers, whole numbers, and integers zero is the additive identity 1 is the multiplicative identity.in case of rational numbers.
hope it helps.stay safe healthy and happy.Can anyone explain to me how to do this?
[tex]\frac{x}{2} -8=10\\[/tex]
Answer:
x = 36
Step-by-step explanation:
First: add 8 to both side
Second: multiply both side by 2.
Solve:
a. 5y – 3 = – 18
b. -3x – 9 = 0
c. 4 + 3(z - 8) = -23
d. 1 – 2(y – 4) = 5
Answer:
a. y = -3
b. x = -3
c. z = - 1
d. y = -7
Step-by-step explanation:
a. 5y - 3 = - 18
5y = -18 +3
5y = -15
y = -15/5
y = - 3
b. -3x - 9 = 0
-3x = 9
x = 9/-3
x = -3
c. 4 + 3(z-8)= -23
4 + 3z-24 = -23
3z - 20 = -23
3z = -23 + 20
3z = -3
z = -3/3
z = - 1
d. 1 - 2(y-4) = 5
1 - 2y + 8 = 5
9 - 2y = 5
-2y = 14
y = 14/-2
y = -7
