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Complete Question
Determine the common difference, the fifth term, the nth term, and the 100th term of the arithmetic sequence.
7/6, 5/3, 13/6, 8/3
Answer:
a) Common difference = 1/2
b) Fifth term = 19/6
c) nth term = 7/6 + (n - 1)1/2
= 7/6 + n/2 - 1/2
d) 100th term = 152/3
Step-by-step explanation:
We solve using the formula for arithmetic sequence
an = a1 + (n - 1)d
a1 = First term
n= nth term
d = common difference
a) Common difference = Second term - first term or Third term - second term
= d = 5/3 - 7/6
d = LCD (Lowest Common Denominator = 15
d = 5 × 6 - 3 × 7/18
d = 30 - 21/15
d = 9/18
d = 1/2
b) Fifth term =
an = a1 + (n - 1)d
a1 = First term = 7/6
n= nth term = 5
d = 1/2
a5 = 7/6 + (5 - 1)1/2
a5 = 7/6 + (4)1/2
a5 = 7/6 + 4/2
a5 = 7/6 + 2
a5 = LCD = 6
= 7× 1 + 2 × 6/6
= 7 + 12/6
= 19/6
c) nth term
an = a1 + (n - 1)d
a1 = First term = 7/6
n= nth term = n
d = 1/2
= 7/6 + (n - 1)1/2
= 7/6 + n/2 - 1/2
d) 100th term
an = a1 + (n - 1)d
a1 = First term = 7/6
n= nth term = 100
d = 1/2
a5 = 7/6 + (100- 1)1/2
a5 = 7/6 + (99)1/2
a5 = 7/6 + 99/2
a5 = 7/6 + 99/2
a5 = LCD = 6
= 7× 1 + 3 × 99/6
= 7 + 297/6
= 304/6
= 152/3
2. What is the place value of the 5 in 3562?
Answer:
Hundreds Place
Step-by-step explanation:
The 5 is in the hundreds place.
Hope this helps :D
3 is the thousands place
5 is the hundreds place
6 is the tens place
2 is the ones place
You tell me the answer.
) B. Communicate Precisely LaTanya wants to place
a lamp halfway between the chairs at points C
and D. How can you find the point where the
lamp should go?
C
Hi, you've asked an incomplete question. I attached the missing caption that completes the question.
Explanation:
By looking closely at the caption we notice there are measuring coordinates along the margin of the caption. To find the middle of the chairs, take note of the total coordinate distances between points C and D;
For the vertical axis, the distance is 4For the horizontal axis, the distance is 2Substracting both differences in distances we get 2 (4-2) so at point (10, 7) we find the middle or halfway between the chairs at points C and D.
At a rap concert, the ratio of the number of boys to the number of girls is 9: 5. If there
are 320 more boys than girls, how many boys and how many girls are at the concert?
Answer:
177.78
Step-by-step: Let's solve your equation step-by-step.
9
5
=
320
x
Step 1: Cross-multiply.
9
5
=
320
x
9*x=(320)*(5)
9x=1600
Step 2: Divide both sides by 9.
9x
9
=
1600
divided by 9 which will give you 177.78
Which like is the Skew to RQ. (hint not MN)
B
Find the perimeter of the triangle.
A)
20
B)
151
Eliminate
12 + 174
12 + VAT
HELPP PLEASE
Answer:
B
Step-by-step explanation:
GIVING BRAINLIEST FOR WHO ANSWERS FIRST.
Answer:
Option D: 66 degrees
Step-by-step explanation:
Interior angles of a triangle add up to 180 degrees.
Thus, 90+24+x=180 would be the equation you make to solve:
90+24+x=180
114+x=180
x=66
So <x=66 degrees
the values of x and y vary directly write an equation that relates x and y x = 0.1 y = 0.9
9514 1404 393
Answer:
y = 9x
Step-by-step explanation:
If you like, you can start with the proportion ...
x/y = 0.1/0.9
Multiplying by 9y gives ...
9x = y
The equation you want is ...
y = 9x
Over the interval [0, 2), what are the solutions to sin(2x) = 2cos(x)? Check all that apply,
Answer:
pi/2 and 3pi/2
Step-by-step explanation:
on edge
The required solutions to sin(2x) = 2cos(x) are the following as : [tex]\:x=\frac{\pi }{2}+2\pi n,\:x=\frac{3\pi }{2}+2\pi n[/tex].
What are Trigonometric functions?Trigonometric functions are defined as the functions which show the relationship between the angle and sides of a right-angled triangle.
The equation of trigonometry functions is given in the question:
sin(2x) = 2cos(x)
We have to determine the solution to the given trigonometry equation
As per the question, we have
⇒ sin(2x) = 2cos(x)
Rewrite the above trigonometry equation,
⇒ sin(2x) - 2cos(x) = 0
⇒ 2sin(x)cos(x) - 2cos(x) = 0
Common factor out from the equation,
⇒ 2cos(x)[sin(x) - 1] = 0
Solving each part separately
2cos(x) = 0 and sin(x) - 1 = 0
cos(x) = 0 and sin(x) = 1
[tex]\:x=\frac{\pi }{2}+2\pi n, and \:x=\frac{3\pi }{2}+2\pi n[/tex].
Thus, the required solutions to sin(2x) = 2cos(x) are the following: [tex]\:x=\frac{\pi }{2}+2\pi n,\:x=\frac{3\pi }{2}+2\pi n[/tex].
Learn more about Trigonometric functions here:
brainly.com/question/6904750
#SPJ2
In the diagram find m angle BAC
Answer:
I'm thinking b not 100 percent sure
Answer:
The answer is B) 122 degrees
-3x=2x+19 solve pls
Answer:
-19/5
Step-by-step explanation:
2x+3x+19=0
5x=-19
x=-19/5
What is the Equation of this Trend line
K=_ J+_
Answer:so the standard form is y = mx + b
m is the slope (rise/run)
b is the y-intercept or where the slope intercepts the y-axis
so you end up with
k = (4/-2)j + 24
simplify this to
k = -2j + 24
Step-by-step explanation:
Question 2 options: It is known that 50% of adult workers have a high school diploma. If a random sample of 8 adult workers is selected, what is the probability that less than 6 of them have a high school diploma
Answer:
(That is, find P(X≥5)) (keep 4 decimal places)
Step-by-step explanation:
JUST TRUST ME
Help please as soon as possible :)))
Answer:
24m 10+3+3+2+6
Step-by-step explanation:
Answer:
i believe its 24m surface area
Step-by-step explanation:
sorry if wrong
For the formula x = 3y - z, what is the value of x when y = 4 and z = 1?
Answer:
here, x=3y-z then,
(substitute value of y and z)
x=3×4-1
=12-1
x=11ans
Which of the following is the equation of a line in slope-intercept form for a
line with slope = 2/3 and y-intercept at (0,-2)?
O A. y = 2/3 x - 2
O B. y = -2/3x + 2
O c. y = -2x - 2/3
O D. y = -2/3 = x - 2
Step-by-step explanation:
A,
because we can use the formula y=mx+c
solve this mathematical problem
20W!4X 10w! 2=?
Answer:
this is just simplified
800w!^2
The temperature was 12°C before the storm. During the storm, the temperature dropped 19°C. What was the temperature at the end of the storm?
Answer:
-7 degrees celsius
Step-by-step explanation:
12-19=-7
Answer:
-7
Step-by-step explanation:
12 - 19 = -7
Rewrite the following expression using the distributive property: 12x + 20
Answer: 4(3x +5) or 2(6x +20)
Step-by-step explanation:
What is the sign of the product (–5)(–3)(–8)(–6)? Positive, because the products (–5)(–3) and (–8)(–6) are negative, and the product of two negative numbers is positive Positive, because the products (–5)(–3) and (–8)(–6) are positive, and the product of two positive numbers is positive Negative, because the products (–5)(–3) and (–8)(–6) are negative, and the product of two negative numbers is negative Negative, because the products (–5)(–3) and (–8)(–6) are positive, and the product of two positive numbers is negativeWhat is the sign of the product (–5)(–3)(–8)(–6)? Positive, because the products (–5)(–3) and (–8)(–6) are negative, and the product of two negative numbers is positive Positive, because the products (–5)(–3) and (–8)(–6) are positive, and the product of two positive numbers is positive Negative, because the products (–5)(–3) and (–8)(–6) are negative, and the product of two negative numbers is negative Negative, because the products (–5)(–3) and (–8)(–6) are positive, and the product of two positive numbers is negative
Answer:
The sign is positive.
Step-by-step explanation:
(-5)(-3)
= 15 (double negative)
15(-8)
=-120 (positive negative)
(-120)(-6)
= 720 (negative negative)
Therefore, the sign of the answer is positive.
Hope this helped!
Answer:
The sign is postive
Step-by-step explanation:
(-5)(-3)
= 15 (double negative)
15(-8)
=-120 (positive negative)
(-120)(-6)
= 720 (negative negative)
In physics, the current (I), potential difference (V), and resistance ® of an electrical circuit are known to stand in the following relation. i=V/R Which of the following is the same equation solved for V?A. V=IR B. V= I(1-R) C. V=I/R D.V=R/I
Answer:
Step-by-step explanation:
The current that flows through most substances is directly proportional to the voltage V applied to it. The German physicist Georg Simon Ohm (1787–1854) was the first to demonstrate experimentally that the current in a metal wire is directly proportional to the voltage applied: I∝V I ∝ V .
-9x - 5y = 26
4x -4y = -24
Answer:
(-4, 2)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationSolving systems of equations by graphingStep-by-step explanation:
Step 1: Define systems
-9x - 5y = 26
4x - 4y = -24
Step 2: Rewrite systems
4x - 4y = -24
Add 4y to both sides: 4x = 4y - 24Divide 4 on both sides: x = y - 6Step 3: Redefine systems
-9x - 5y = 26
x = y - 6
Step 4: Solve for y
Substitution
Substitute in x: -9(y - 6) - 5y = 26Distribute -9: -9y + 54 - 5y = 26Combine like terms: -14y + 54 = 26Isolate y term: -14y = -28Isolate y: y = 2Step 5: Solve for x
Define original equation: 4x - 4y = -24Substitute in y: 4x - 4(2) = -24Multiply: 4x - 8 = -24Add 8 to both sides: 4x = -16Divide 4 on both sides: x = -4Step 6: Graph
Check the solution set.
How many 5-digit positive integers are there all of whose digits are even?
a) 500
b)2500
c)3125
d)12500
e) 45000
Answer:
45,000
Step-by-step explanation: There are 45,000 5 digit positive integers whose didgit-sum is odd.
-0.8 + 40 - 8x - 35 can you please help with this pre algebra
Answer:4.2-8x
Step-by-step explanation:
-0.8-40-35=4.2 -8x
Which one is bigger 7.4 or 7 2/5?
Answer:
None, They are Both Equal
Step-by-step explanation:
7 2/5 = 7.4
7.4 = 7.4
So, 7.4 = 7.4
Hence, none of them are bigger
How much is 50 dollars
Answer:
50 dollars
Step-by-step explanation:
what is the value of x in 6x=54
Answer:
x=9
Step-by-step explanation:
6(9)=54
Trapezoid ABCD is similar to trapezoid EFGH which OF THE FOLLOWING PROPORTIONS MUST BE TRUE ?
An assignment of 82 pages of a novel was given out on Monday to be read on Friday. if the students read equal nʋmber of pages on Monday, tuesday ,Wednesday and ?Thursday evening how many pages should be read each evening
Step-by-step explanation:
20 .5 i think its right answer
Si un número divisible entre 3 también es divisible entre 6
Answer:
es verdad pero 3 nomas puede ser dividido por 3 o 1
Step-by-step explanation:
Each bottle of perfume contains 2.1 fluid ounces of perfume. The store sells 30 bottles. How many fluid ounces of perfume did the store sell in total
Answer:
63
Step-by-step explanation:
Answer:
Step-by-step explanation:so did u pass the edulastic test