The 38th term of the Arithmetic Progression (355, 348, 341, ...) will be 36.
As per the question statement, we are provided with a series of numbers such as (355, 348, 341, ...)
We are required to calculate the 38th term of the above mentioned series.
To solve this question, first we are required to identify the nature of the series. We can see that, the consecutive terms have a common difference between them, i.e.,
[tex](355-348)=7\\(348-341)=7[/tex]
Therefore, the given series is an Arithmetic Progression (A.P.). Thus, we need to know the formula to calculate a certain nth term of an A.P. which goes as
[tex]T_{n}=[a+(n-1)d][/tex],
Where, "Tₙ" is the nth term required,
"a" is the first term of the A.P.,
And, "d" is the common difference between every pair of consecutive terms of the A.P.
In this case, (a = 355), (n = 38) and {d = (-7)}. Then, using these values in the above mentioned formula, we get,
[tex]T_{38}=[355+(38-1)(-7)]\\ or, T_{38}=355+[37*(-7)]\\or,T_{38}=355+(-259)\\or, T_{38}=(355-259)\\or,T_{38}=96[/tex]
Hence, the 38th term of the Arithmetic Progression (355, 348, 341, ...) will be 36.
Arithmetic Progression (A.P.): This is a sequence of numbers in order, where the difference between any two consecutive numbers is always constant.To learn more about Arithmetic Progressions, click on the link below.
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Evaluate each expression.
a) 3 + x for x = 1/2 b) 3 -- x for x = -2 c) 3x for x =1/4
6 unit squares each have 2/3 of their area shaded. what is the total area shaded?
Answer:
4 square units
Step-by-step explanation:
Answer:4 square units in total
Step-by-step explanation:
multiply 6 by 2/3
Which of the following values does not satisfy the inequality X - 7 > 12?
A 11
B 33
C 22
D 44
Answer:
We conclude that when we put x = 11, it does not satisfy the inequality.
Hence, option (A) is correct.
Step-by-step explanation:
Given the inequality
x - 7 > 12
Any value which makes the inequality FALSE would be the value that not satisfy the inequality.
Putting x = 11 in the inequality
x - 7 > 12
11 - 7 > 12
4 > 12
FALSE!
Reason: 4 can not be greater than 12
Putting x = 33 in the inequality
x - 7 > 12
33 - 7 > 12
26 > 12
TRUE!
Reason: 26 is indeed greater than 12
Putting x = 22 in the inequality
x - 7 > 12
22 - 7 > 12
15 > 12
TRUE!
Reason: 15 is indeed greater than 12
Putting x = 44 in the inequality
x - 7 > 12
44 - 7 > 12
37 > 12
TRUE!
Reason: 37 is indeed greater than 12
Therefore, we conclude that when we put x = 11, it does not satisfy the inequality.
Hence, option (A) is correct.
Answer:
11
Step-by-step explanation:
5+3w+3-w combine like terms to simplify
Answer:
8 + 2w
Step-by-step explanation:
⇒ Change all signs to addition (subtraction is the same as adding a negative):
5 + 3w + 3 + -w
⇒ Since the expression is now all addition, you can rearrange them in any order. So group the terms together by their type:
5 + 3 + 3w + -w
⇒ Simplify:
8 + 2w
Answer: 8 + 2w
Hope this helps! :)
The table represents a linear function
What is the slope of the function?
-3
-2
3
4
Answer:
3
Step-by-step explanation:
.......................
Answer:
3
Step-by-step explanation:
The formula of to calculate slope of a linear function is
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
where m is the slope and so lets take any two points from the table to calculate the slope. Lets take,
(0 , 4) and (1 , 7) and lets plug it in the formula
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{7-4}{1-0}\\\\m=3[/tex]
So the slope of the function is 3
2) What is the ratio of sixth-grade students who had been to a baseball game to the number
of students who had traveled on an airplane OR own either a cat or a dog? (Write the ratio
in THREE ways)
Answer:
There isn't a graph or more information to use to find the ratio but I'll put here 3 ways to write a ratio so hopefully that might help. If more information is added later I will edit the answer.
Step-by-step explanation:
First way:
Use the word "to". For example: 2 to 4.
Second way:
Use a fraction. For example: 2/4.
Third way:
Use a colon. For example: 2:3.
59 + |-11| lol pls help fast lol
Answer:
70
Step-by-step explanation:
|-11| becomes positive cuz its an absolute. so its just 50 +11
Answer:
70
Step-by-step explanation:
The absolute value (the two lines that the -11 are between) refers to a numbers distance from zero. So more or less just remove the negative sign and add like normal.
A health club down the street has an initial joining fee of $100, and then you pay $5 each time you visit the gym. If Calvin spends $195, how many times did he visit the gym? Define Variable: Equation: Solve (Show all steps):
Answer:
The number of times he visited the gym is 19 times.
Step-by-step explanation:
A health club down the street has an initial joining fee of $100, and then you pay $5 each time you visit the gym. If Calvin spends $195, how many times did he visit the gym? Define Variable: Equation: Solve (Show all steps):
Let the number of times he visits the gym be represented as x
A health club down the street has an initial joining fee of $100, and then you pay $5 each time you visit the gym. If Calvin spends $195,
The Amount he spends = $195
= $100 + $5 × x
$195 = $100 + 5x
5x = $195 - $100
5x = $95
x = 95/5
x = 19 times
Therefore, the number of times he visited the gym is 19 times.
Somebody PLZZZZZZZZ help me
five minus two
Answer: 3
Step-by-step explanation:
PLEASEEEE HELPP PLEASEEEE!! which one represents -7pi/3
Kate and Nora each have a sum of money. The ratio of the amount of money Kate has to that of Nora is 3 : 5. After Nora gives $150 to Kate, the ratio of the amount of money Kate has to that of Nora becomes 7 : 9. Find the sum of money Kate had initially.
Answer:
900
Step-by-step explanation:
K N
3x 5x
3x+150:5x-150=7:9
3x+150/5x-150=7/9
9(3x+150)=7(5x-150)
27x+1350=35x-1050
27x-35x=-1050-1350
-8x=-2400
8x=2400
X=2400/8
X=300
Kate money 3x=3×300=900
Answer from abid58b
4c+7=27+6c what does c=
Answer:
-10
Step-by-step explanation:
What is the coefficient of x 8+5x-y
Answer:
The coefficient is 5.
Step-by-step explanation:
The coefficient is the number that comes before the variable, 8 wouldn't be a coefficient because it doesn't have a variable, so therefore the correct answer is 5.
I hope I could help :)
The solution is 5
The coefficient of the equation A = 8 + 5x - y is 5
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
The value of A is
A = 8 + 5x - y be equation (1)
Let the coefficient be = c
The coefficients are the numbers by which the variables in an equation are multiplied
So , the coefficients of the equation is 5
Therefore , the value of c = 5
Hence , the coefficient of the equation is 5
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may someone plz answer this
Answer:
At least 2 weeks
Step-by-step explanation: You divide until you reach 200
In the fraction 7/8, the numerator denominator is 7.
7/8 is the fraction
7 is the numerator
8 Is the denominator
Answer:
hhshshidhidhsd
Step-by-step explanation:
how you feel about that????
A triangle has a
height of 2x + 6 and a base length of x + 4.
What is the area of the triangle?
Answer: A=x^2+7x+12
Step-by-step explanation:
A=area of triangle. h=height. b=base
A=bh/2
A=(x+4)(2x+6)/2
A=(x+4)(2x/2+6/2)
A=(x+4)(x+3)
A=x*x+4x+3x+4*3
A=x^2+7x+12
if f(x)=5x-12, what is f(2)?
Answer:
Step-by-step explanation:
5x2-12=10-12=-2
Answer:
=-2 ( B.)
Step-by-step explanation:
f(x) = 5x-12
f(2)= 5(2)-12
=10-12
=-2
I hope helps you and if you want and consider you can give me a Brainly crown
Determine the solution for the system of equations:
y = -2x + 1
3x - 2y = 5
A.(-1, 1)
B.(1, -1)
C.(-1, 0)
D.No Solution
Answer:
Step-by-step explanation: d
PLEASE HELP
Which of the following relations describes a function?
A. {(4,5), (5, 4), (6,4), (4, 6) }
B. {(5, 6), (5, 7), (5, 8), (5,9) }
C. {(4, 5), (5, 4), (6,5), (5, 6) }
D. {(5,6), (6, 7), (7, 8), (8, 9) }
Answer:
D
Step-by-step explanation:
The answer is D. {(5,6), (6,7), (7,8), (8,9)}
A technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
A technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.This means that if the object x is in the set of inputs (called the domain) then a function f will map the object x to exactly one object f(x) in the set of possible outputs (called the codomain).
A technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.This means that if the object x is in the set of inputs (called the domain) then a function f will map the object x to exactly one object f(x) in the set of possible outputs (called the codomain).The notion of a function is easily understood using the metaphor of a function machine that takes in an object for its input and, based on that input, spits out another object as its output.
A technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.This means that if the object x is in the set of inputs (called the domain) then a function f will map the object x to exactly one object f(x) in the set of possible outputs (called the codomain).The notion of a function is easily understood using the metaphor of a function machine that takes in an object for its input and, based on that input, spits out another object as its output.A function is more formally defined given a set of inputs X (domain) and a set of possible outputs Y (codomain) as a set of ordered pairs (x,y) where x∈X (confused?) and y∈Y, subject to the restriction that there can be only one ordered pair with the same value of x. We can write the statement that f is a function from X to Y using the function notation f:X→Y.
What is the solution to the system of equations below?
y= 1 x+6 and y-x-4
O (-8,2)
O (-8,-1)
O (8, 10)
O (8,-10)
Please help
Answer: a or b on edge
Step-by-step explanation:
It’s either those
A seal has 1,500 nerves per whisker. That is 101010 times as many as a rat has. How many nerves per whisker does a rat have?
Answer:
0.01485...
Step-by-step explanation:
Given:
A seal has 1,500 nerves per whiskerThis is 101,010 times as much as a rat has per whiskerWe will:
Divide the number 1,500 by 101,0101,500 ÷ 101,010 = 0.0148500149
0.0148500149 ⇒ 0.01485 when rounded
Your answer: 0.0148500149, 0.01485 when rounded
Carry on Learning!
Based on the tables below when do these two functions intersect?
Answer:
(2, 3)
Step-by-step explanation:
Functions intersect when they reach the exact same point.
Answer:
they intersect at the point ( 2, 3 )
you can tell by going through both tables and seeing that this point is on both tables
Step-by-step explanation:
What is the slope of the line?
PLEASE NOW HELPPPP!!!
Answer:
4/5
Step-by-step explanation:
ILL GIVE BRAINLIST PROMISE!!!!!!!
Answer:
4 11 /18
(Decimal: 4.611111)
Step-by-step explanation:
8 1/6-3 5/9
4 11 /18
(Decimal: 4.611111)
Answer:
SHE OR HE IT IS RIGHT(had the question)
4 11 /18
Last week Ms. Foss worked 6.1 times as many hours as Mr. Sutton. Mr. Sutton
worked 5.4 hours.
How many hours did Ms. Foss work?
Answer:
3294
Step-by-step explanation:
6.1*5.4=3294
If a ∥ b and e ∥ f, what is the value of y? 87 88 91 92
58w
Step-by-step explanation:
syukrwdgiiyredghjjrwwxvko8wasc9eyp
Answer:
92
Step-by-step explanation:
Angle (x+1) is equal to 92 degrees, and x equals 91. If x equals 91, then (x+1) equals 92. (x+1) and angle y are equal angles, so therefore, you can determine that angle y is equal to 92 degrees.
-I got the question right on the test
Hope this helps!
Question 2 of 25 the legs of a right triangle measure 10 inches and 4 inches. what is the area of the triangle?
Answer:
B: 20 sq. inches
Step-by-step explanation:
The area of the triangle is calculate by; A= b. h /2
b= 10 inches
h = 4 inches
10 . 4= 40 sq. inches : 2 = 20 sq.inches
The area of the triangle is 20 sq. inches
. Which expression is NOT equal to 28? o A 1.288 = 46 B 1 820 = 65 C. 1456 - 52 D 1107 = 42
Jakes car has 27 gallons of gas in the tank at the beginning of his road trip. Jake uses 6 gallons of gas every hour he drives.
Answer:
he could drive 4 hours
Step-by-step explanation:
Step-by-step explanation:
if he drives for 1 hour he will have 21 gallons left
2 hours = 15 gallons left
3 hours = 9 gallons left
4 hours = 3 gallons left
4.5 hours = 0 gallons left
he could drive a total of 4.5 hours before he runs out of gas
What is the solution to the system of equations below. Y=3/4x-12and y=4x-31 (-4,-15) (-4,-12). (4,-9). (4,-47)
Answer:
(4, –47)
Step-by-step explanations
I think this is the right answer but sorry if im wrong.