This expression 40=4+(n-1)3 represents the correct arithmetic progression.
What is an arithmetic progression?
Every term following the first is derived by adding a constant value, known as the common difference, in an arithmetic progression.
We have,
4 + 7 + 10 + 13 + 16 + 19 + 22 + 25 + 28 +31 + 34 + 37 + 40
Arithmetic progression formula:
[tex]a_{n}=a_{1}+(n-1)d[/tex]
where
[tex]a_{n}[/tex] = the nᵗʰ term in the sequence
[tex]a_{1}[/tex] = the first term in the sequence
[tex]d[/tex] = the common difference between terms
By using arithmetic progression formula we can find last term of an Arithmetic series.
[tex]a_{n}=a_{1}+(n-1)d[/tex]
[tex]a_{n}[/tex]= 4 + (n-1)3
[tex]a_{n}[/tex] = 4 + (13-1)3
[tex]a_{n}[/tex] = 40.
we have calculated the last term by using arithmetic progression formula which is 40.
Hence, This expression 40=4+(n-1)3 represents the correct arithmetic progression.
To learn more about arithmetic progression from the given link,
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Help please I’ll give points help help help help
Answer:
my sample ka
Step-by-step explanation:
bigyan mu ako para masagot ko ang tanong nayan.
9,962÷41. What dose it =
Answer:
242.975609756
Step-by-step explanation:
Answer:
242.975
Step-by-step explanation:
TIP: u can use a calculator if your teacher allows you, it would be faster :)
Help help help help help help help help help
Answer:
8
Step-by-step explanation:
4+4 =8
Answer:
y = 8
Step-by-step explanation:
To find this simply you have to put values instead of x and y,
For an example,
If the value of x is 1, you have to put 1 instead of x to the equation to find the value of y,
x = 1,
y = x + 4
y = 1 + 4
y = 5
In the same way, you can find the value of y when the value of x is 4.
x = 4,
y = x + 4
y = 4 + 4
y = 8
Hope this helps you.
Let me know if you have any other questions :-)
Determine the Domain and Range for promblems 1 and 2.
Answer:
Nvgjvfknh
Step-by-step explanation:
what you've learned from it. Was it a success or a challenge?
Arranging the real number in ascending order -8,2,0,9,-10
Hello,
- 10, - 8, 0, 2, 9
The ascending order is always : negative numbers, zero, positive numbers
Answer:
-10, -8, 0, 2, 9
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
A pair of kids and a pair of adults decided to compete in a three-legged race. The kids got to start 15 yards ahead of the adults, since they had shorter legs. When they were told to start, the kids hobbled forward at a rate of 1 yard per second, and the adults hobbled after them at a rate of 4 yards per second. Soon they were side-by-side. How long did that take? How far did the adults go?
It took seconds for the adults to go yards and catch up to the kids?
A system of equations is simply a system that contains related equations of multiply variables
It took 5 seconds for the adults to go 20 yards and catch up to the kids
Let x represents the time of the race
The kids started 15 yards ahead, and they raced at 1 yard per second.
So, the kids' equation is represented as: [tex]\mathbf{k =15 + x}[/tex]
The adults' raced at 4 yards per second.
So, the adults' equation is represented as: [tex]\mathbf{a =4x }[/tex]
When they are side by side, we have the following equivalent equation
[tex]\mathbf{4x = 15 + x}[/tex]
Subtract x from both sides
[tex]\mathbf{3x = 15}[/tex]
Divide both sides by 3
[tex]\mathbf{x = 5}[/tex]
It means that, it took the adults 5 seconds to catch up with the kids
Substitute 5 for x in any of the equations to calculate the distance travelled.
[tex]\mathbf{a =4 \times 5}[/tex]
[tex]\mathbf{a =20}[/tex]
It means that, the adults catch up with the kids at 20 yards
Read more about systems of equations at:
https://brainly.com/question/12895249
Answer:
The adults went 123 yards and caught up to the kids in 41 seconds
Step-by-step explanation:
ixl :)
f (x)= -3x+10 and g (x) = x^2-7x
f(-5)=
g(2)=
f(4m)=
we have f (x)= -3x + 10
so f(-5)= (-3)(-5) +10 = 15 + 10 = 25
we have g (x) = x^2 - 7x
so g(2)= 2^2 - 7.2 = 4 - 14 = -10
we have f (x)= -3x + 10
so f(4m)= -3(4m)+10 = -12m + 10
ok done. Thank to me :>
-3(p+2) when p=6
Anybody
Answer:
-24
Step-by-step explanation:
-3(p+2)
-3 ( 6+2 )
-3(8)
-24
how much water should be added to 5 gallons of 50% acid solution to get a 20% solution?
ASAP!!! PLS
Answer:
22.5
Step-by-step explanation:
50%of5+20%=22.5
50/100×5=2.5
2.5+20=22.5%
Answer:
3 gallons
Step-by-step explanation:
10=100 percent
10/5 =2
5-2=3
3 gallons
ANSWER THIS PLEASE I NEED HELP
Answer:
1st part:
0.65= 13/2
0.425=4251000
9.35=9 7/20
2nd part:
19/25= 0.76
311/500=0.622
5/8=0.625
14 3/5=14.6.
Step-by-step explanation:
hope this helped good luck!<3
sets if 98% of households have at least one television set and 4 households are selected, find the probability that at least one household has a television set.
Using the binomial distribution, it is found that there is a 0.99999984 = 99.999984% probability that at least one household has a television set.
For each household, there are only two possible outcomes, either it has at least one television set, or it does not. The probability of a household having at least one television set is independent of any other household, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.In this problem:
4 households are selected, hence [tex]n = 4[/tex].98% have at least one television set, hence [tex]p = 0.98[/tex]The probability that at least one household has a television set is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{4,0}.(0.98)^{0}.(0.02)^{4} = 0.00000016[/tex]
Then:
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.00000016 = 0.99999984 [/tex]
0.99999984 = 99.999984% probability that at least one household has a television set.
A similar problem is given at https://brainly.com/question/24863377
what’s the correct answer i will give brainlist
The scenario could be modeled as a linear equation to produce the mathematical model written as : y = 10x + 7
Number of cards from previous card = 7
Number of cards per cardstock purchased = 10
Let :
Number of cardstocks purchased = x
Total Number cards made = y
The total number of cards made, y can be expressed thus :
(Number of cards per cardstock purchased × number of cardstocks purchased) + number of previous cards
This means :
y = 10x + 7
Therefore, the required equation is y = 10x + 7
what is the numerical answer?
Answer:
x = 3
Step-by-step explanation:
In a parallelogram the diagonals bisect each other , then
6x + 11 = 5x + 14 ( subtract 5x from both sides )
x + 11 = 14 ( subtract 11 from both sides )
x = 3
how many prime numbers are multiples of 5 please
Answer:
the only number would be 5
Step-by-step explanation:
5 is the first and only prime multiple of 5
There are only ''one'' prime number are multiples of 5.
What is Prime number?
Prime numbers are number that have only two factors, 1 and themselves.
Given that;
The prime numbers multiples of 5.
Now,
The multiples of 5 = 5, 10, 15, 20, 25, ...
But there are only one prime number (that is; 5) which are multiple of 5.
Thus, There are only ''one'' prime number are multiples of 5.
Learn more about the prime number visit:
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which is the correct answer??
geometry
Answer:
SAS || Side - Angle - Side
Step-by-step explanation:
You have 2 sets of congruent sides, and one set of congruent angles between them. (SAS)
That angle is congruent because ∠QRP and ∠TRS are vertical angles, and vertical angles have the same measurement.
Is (x + 6) a factor of f(x) = x3 − 3x2 + 2x − 8? Show how to use either the remainder theorem or the factor theorem to explain your reasoning.
Answer:
x + 6 is not a factor of f ( x ) = x³ - 3x² + 2x - 8 because when -6 is substituted into the function, the answer is not 0.
Step-by-step explanation:
→ Substitute x = -6 into f ( x )
( 6 )³ - 3 × ( 6 )² + ( 2 × 6) - 8
→ Simplify
216 - 108 + 12 - 8
→ Simplify further
112
Solve the inequality.
2(x+4) < 2 - x
Answer:
x < -2
Step-by-step explanation:
2(x+4)<2-x
2x+8<2-x
+x +x
3x+8<2
-8 -8
3x<-6
x<-2 Divide both sides by 3
Hope this helps!
Answer:
2x+8<2-x
8-2<-x-2x
-3x>6
x>6/3
x<2
Step-by-step explanation:
I think it's smtg like this
Please Help! I don't understand how the Alabama paradox works. I will give you a lot of points!
--PLEASE show all work
The table shows the populations, in thousands, of the three states in a country with a population of 3760 thousand. Use Hamilton's method to show that the Alabama paradox occurs if the number of seats in congress is increased from 24 to 25
Answer:
State A loses a seat to State B when the total is increased
Step-by-step explanation:
The "work" is most easily done by a spreadsheet, as the calculations are easily defined and very repetitive.
The "fair share" of seats is the fraction the population is of the total, multiplied by the total number of seats. It will generally be a mixed number (integer plus fraction).
If the whole number is 1 or greater, the number of seats allocated at least that whole number.
If not all seats are allocated, the fractions are sorted in decreasing order, and 1 additional seat is added to the allocation for each state, working down the list, until all of the seats are allocated.
__
The attachment shows State A has the highest fraction when the number of seats is 24. Only one additional seat needs to be allocated in that case. State A gets that extra seat.
When the number of seats is 25, States B and C have the highest fractions. Each of them gets one additional seat, and State A gets no additional seats. This results in the appearance of State A giving up a seat to State B.
_____
Additional comment
Hamilton's apportionment method was used for a number of years in the US. The method now in use is substantially different. The current method would divide the 24 seats so that A=3, B=6, C=15. The 25th seat would be given to State A.
help ??? on edu math review
Answer:
It must be C.
Step-by-step explanation:
x² - 9 = 16
=> 16 + 9 = x²
=> 25 = x²
=> x = 5
Referring to the options, C is the only one that is accurate to me. Hoped this helped.
Uhm is this a function?
Answer:
yes it is
Step-by-step explanation:
2. Find the simple interest paid to borrow $4800 for 6 years at 7%.
Answer:
$2016
Step-by-step explanation:
Simple Interest equation: I = Prt
So,
P = $4800
r = [tex]\frac{7}{100}[/tex] = 0.07
t = 6
I = (4800) · (0.07) · (6)
Thus,
The simple interest is $2016.
The women's rights movement gained momentum in the 1960s as leaders like Betty Friedan and Gloria Steinem began sharing
their beliefs and concerns regarding discrimination against women. The Equal Rights Amendment called for an end to
discrimination based on gender. Which statement is true regarding the ERA?
You and your best friend are both on the swim team. You want to beat your friend at the next swim meet so you decide to swim 151515 minutes longer than she does one day at practice.
Answer:
45
Step-by-step explanation:
15+15+15=45
that would increase her practice time by 45 minutes
Find the slope and y-Intercept of the line in the graph. Drag and drop each number into the correct box
to complete the statement.
7
(0,5)
4 3
2
1
0
(3,-1)
-1
-2
3
TO
de
8 7
0 1 2
55
The slope is m
and they-intercept is b =
Answer:
slope = - 2, y- intercept = 5
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 5) and (x₂, y₂ ) = (3, - 1) ← 2 points on the line
m = [tex]\frac{-1-5}{3-0}[/tex] = [tex]\frac{-6}{3}[/tex] = - 2
The y- intercept is the point on the y- axis where the line crosses
The y- intercept = 5
-3 1/8 divided by 3 3/4 = ?
whats the answer to this question, and what you did to get this answer
Answer:
-5/6
Step-by-step explanation:
1. Change 3/4 to 6/8 by cancelling the common factors.
2. Divide how you normally would
Answer:
- [tex]\frac{5}{6}[/tex]
Step-by-step explanation:
-3[tex]\frac{1}{8}[/tex] ÷ 3[tex]\frac{3}{4}[/tex]
[tex]\frac{-25}{8}[/tex] ÷ [tex]\frac{15}{4}[/tex]
[tex]\frac{-25}{8}[/tex] × [tex]\frac{4}{15}[/tex]
[tex]\frac{-100}{120}[/tex]
[tex]\frac{-50}{60}[/tex]
- [tex]\frac{5}{6}[/tex]
* Keep in mind that - [tex]\frac{5}{6}[/tex], [tex]\frac{-5}{6}[/tex], and [tex]\frac{5}{-6}[/tex] mean the same thing!
First, I converted -3 1/8 and 3 3/4 to improper fractions. I then switched the sign of division to multiplication and changed 15/4 to 4/15. I then multiplied -25 with 4 and 8 with 15, resulting in -100/120. I simplified this to -5/6.
Hope this helps, and if you have any questions, let me know!
how many times does 1 go in 9
Answer:
9 times
Step-by-step explanation:
1 goes into 9, 9 times
1+1=2
2+1=3
3+1=4
4+1=5
5+1=6
6+1=7
7+1=8
8+1=9
How many solutions for
55l=50l+5
Answer:
Zero
Step-by-step explanation:
The question is impossible to answer. 501+5 does not equal 551, 501+5 equals 506.
Cliff earns $15 for each hour that he works as a television sales person plus an additional $10 for each television that he sells which of the following represents the amount cliff earns , in dollars, if he sells n television and works h hours ?
Answer:
15h+10n
Step-by-step explanation:
You forgot to list the equations.
10 * n = 10n = $ paid for amount of televisions sold
15 * h = 15h = $ paid for hours worked
15h + 10n = Total amount paid
The answer for n television sold and h hours working is 15h +10n.
Expression:
An expression is an algebraic or mathematical statement in which some variable and constant are arranges with any algebraic operations
Given that
Cliff earned for one hour = $15
Therefore for h hours = 15h
Also he earned additional for each television sold = $10
Therefore for n television sold = 10n
How to add the algebraic terms?Here 15h and 10n are two algebraic numbers because there is constants 15 and 10 and variables h and n are multiplied simultaneously.
Therefore the total earning is the addition of both
15h + 10n
The final answer is 15h + 10n
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3
Roy and David both play football for the same team. A football match is 90 minutes long.
In one match, Roy plays for 70% of the 90 minutes and David plays for of the 90 minutes.
Who plays for the longer time and by how many minutes?
Answer:
27 minutes
Step-by-step explanation:
please check the image it has all the steps to solve it . Thank you.