Answer:
[tex]10 + (n - 1) 8[/tex]
Step-by-step explanation:
All arithmetic sequence can be written as:
[tex]a_{n} = a_{1} + (n - 1)d[/tex]
Where [tex]a[/tex] is the [tex]n^{th}[/tex] term of the sequence, [tex]a_{1}[/tex] the first term of the sequence and [tex]d[/tex] the common difference between terms.
So in our sequence we have [tex]a_{1} = 10[/tex] and for find the difference substract two sequence terms.
[tex]d = a_{n+1} - a_{n} = 18 - 10 = 8[/tex]
Now replace the knowns terms in the general form:
[tex]a_{n} = 10 + (n - 1)8[/tex]
The simplified formula for the given arithmetic sequence is:
a(n) = a + 8 (n - 1)
What is an arithmetic sequence?It is a sequence where the difference between each consecutive term is the same.
We have,
The common difference between any two consecutive terms in an arithmetic sequence is constant.
In this case, the common difference is 8, as each term is obtained by adding 8 to the previous term.
Let the first term of the sequence be 'a', then the second term is 'a + 8', the third term is 'a + 16', and so on.
Therefore, the nth term of the sequence can be expressed as:
a + (n-1)d
where d is a common difference, which is 8 in this case.
So, the simplified formula for the given arithmetic sequence is:
a(n) = a + 8 (n - 1)
where a is the first term of the sequence and n is the position of the term in the sequence.
Thus,
The simplified formula for the given arithmetic sequence is:
a(n) = a + 8 (n - 1)
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Find the constant of proportionality and write an equation for the following proportional relationship.
You drove 330 miles in 6 hours.
Use d to represent the distance you drove and t to represent the time
Answer:
NoShutterStock gives the correct value: 55 miles/hr (mph)
I'll only add that distance, d, is the product of time, t, and speed, s.
(Distance, d) = (Time, t x) (Speed, s)
d = ts
330 miles = (6 hours)*(s)
s = 330 miles/6 hours, or 55 mph
Step-by-step explanation:
The constant of proportionality and the equation for the proportional relationship are 55 miles per hour and y = 55x respectively.
What is proportionality?Two quantities are said to be in direct proportion (or directly proportional), if one is a constant multiple of the other, i.e. y is said to be directly proportional to x if y = kx where k is a constant.
Given that, find the constant of proportionality and write an equation for the following proportional relationship.
"You drove 330 miles in 6 hours."
Here, the constant of proportionality =
330/6 = 55 miles per hour
The equation for the proportional relationship =
y = 55x
Where, y is total distance and x is hour of travelling.
Hence, the constant of proportionality and the equation for the proportional relationship are 55 miles per hour and y = 55x respectively.
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7. Convert the following. (5 marks) a) 10,000 cm² to m²?
Answer:
100m^2
Step-by-step explanation:
100 cm in a meter so 10000/100=100
Answer:
10,000 cm^2 = 1m^2
Step-by-step explanation:
100 cm = 1 m
(100cm)*(100cm) = 1 m^2
10,000 cm^2 = 1m^2
easy one for you folks.
Answer:
if its easy do it
Step-by-step explanation:
Answer:
7.5/15 or something because yes
A $27 photo album costs $28.89 after sales tax is figured in. What is the sales tax percentage?
Please answer the question FULLY if you don’t know the answer then ask in the COMMENTS
Answer:
The sales tax percentage is 7%
Step-by-step explanation:
$27 x 7% = $1.89
add the sales tax to the cost of the product and it will be
$28.89 , hope that helped , have a good day :D !!
A humpback whale can eat 4.4 x 10^3 plankton a day during feeding season. If the feeding season lasts 120 days, find the total number of plankton a humpback would eat by the end of feeding season. Write your answer in scientific notation
Answer:
An average-sized blue whale will eat 2,000-9,000 pounds (900-4100 kg) of plankton each day during the summer feeding season in cold, arctic waters ( about 120 days).
Step-by-step explanation:
on may 1st, the temperatures of 5 European cities were measured and the results were as it follows
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y=-2x
y=-x
y=6x
positive or negative??
Answer:
Positive i s the correct answer.
I hope it will work out
please help ASAP WHOSOEVERS first will be marked brainliest thank you
When you type the answers i ask please dont send any links pictures are fine but please make it visible and readable
I prefer you type your answers in the text box
please make it make sense
Thank you so much for helping me you do not have to solve the whole thing but if you can AWESOME
Answer:
why
Step-by-step explanation:
why
How many real solutions does the function shown on the graph have?
no real solutions
one real solution
two real solutions
cannot be determined
Answer:
you can find the answer in this link bit.3ckFc
Step-by-step explanation:
no real solution ig
find the unknown angle
Answer:
total angles in triangle = 180
180 = 44+56+ y
y = 180-44-56
y = 80°
now to find z and x
we know the 2 straight lines are parallel (indicated by arrows)
x = 56°
z = 44°
how?
alternate angles theorem
Alternate angles are angles that occur on opposite sides of the transversal line and have the same size. Alternate angles are equal: We can often spot interior alternate angles by drawing a Z shape: There are two different types of alternate angles, alternate interior angles and alternate exterior angles.
Convert 1/3 to a percent
Answer:
33 1/3%
Step-by-step explanation:
Answer:
33.3%
Step-by-step explanation:
We can also work this out in a simpler way by first converting the fraction 1/3 to a decimal. To do that, we simply divide the numerator by the denominator:
1/3 = 0.33333333333333
Once we have the answer to that division, we can multiply the answer by 100 to make it a percentage:
0.33333333333333 x 100 = 33.3333%
(Hope this helps can I pls have brainlist (crown)☺️)
Bethany has a mother, 6 sisters, 3 aunts and 2 grandmothers. How many girls are in this family?
Answer:
13
Step-by-step explanation:
1 plus 1 plus 6 plus 3 plus 2 equals 13
X: 3: 9/2 =15/4: 9/2 :Yask for the answer of x and y
Answer:
"X: 3: 9/2 =15/4: 9/2 :Yask" is difficult for me to understand.
The best I can find is x = 11 1/4 or 11.25
I'll assume:
X: 3: 9/2 means X/3/(9/2) and that is equal to 15/4/(9/2)
Step-by-step explanation:
X/3/(9/2) = 15/4/(9/2)
X/3/(9/2) = 15/4/(9/2) [Multiply both sides by (1/(9/2)
X/3 = 15/4
4x = 45
x = 11 1/4 or 11.25
QUESTION 9 of 10: You enter a bid. Your cost on the product you make is $112 per unit. If you bid at $138 per unit, what percent is the price
you bid over your cost? (Round to the nearest percent)
a) 19%
b) 23%
C) 81%
Submit
From the information given, the percentage increase in the price bid over the cost will be 23%.
Cost on the product = $112.
Amount bid = $138
Therefore, the Percentage increase will be:
= (138 - 112) / 112 × 100
= 26/112 × 100
= 23%
Therefore, from the calculation above, it can be seen that the percentage increase in the price bid over the cost will be 23%.
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Noah receives a $5 discount each month on his cell phone bill because he signed up for
auto-pay from his bank account. Over the last 8 months, Noah has paid a total of
$280 for his cell phone bill. What would Noah be charged for his cell phone bill each
month if he stopped using auto-pay?
$34
$30
$35
$40
Answer:
Noah would pay $40 each month
The discount Noah received decreased the amount he pays by $5 every month.
Total discount in 8 months = 8 x $5 = $40
If Noah stopped using autopay, he would have to pay the full amount
Without the discount, the total amount Noah would pay in 8 months = amount paid without discount + total discount amount
$280 + $40 = $320
Amount Noah would pay per month = Total amount he pays in 8 months without discount / 8
$320 / 8 = $40
A candy store sells 25 types of candy. Out of these 25 types, 12 contain chocolate. What percent of the candy types sold contain chocolate?
Answer:
Step-by-step explanation:
[tex]Percentage of chocolate candy = \dfrac{12}{25}*100\\\\ = 12*4\\\\[/tex]
= 48%
Does this graph represent a function? Why or why not?
D. Yes, because it is a curved line.
O A. No, because it fails the vertical line test.
• B. No, because it is not a straight line.
O C. Yes, because it passes the vertical line test.
Answer:
c
Step-by-step explanation:
C, because a vertical line will only hit the function on one point at a time.
Answer:
C. Yes, because it passes the vertical line test.
Math question in attachment
Answer:
Nope
Step-by-step explanation:
If you do the line test you would see that two dots touch the line and that means it is not a function.
Comparing credit and debit cards
Answer:
When you use a debit card, the funds for the amount of your purchase are taken from your checking account in almost real time. When you use a credit card, the amount will be charged to your line of credit, meaning you will pay the bill at a later date, which also gives you more time to pay.
PLEASE HELPPP RUNNING OUT OF TIMMEE
Two shops sell baked beans in different sized tins. Calculate the price per 1.25 kg for shop B. Give your answer in pence.
Shop A) 1.25kg for £4.85
Shop B) 250g for £0.88
Answer:
YOUR ANSWER IS SHOP B) 250g for £0.88HERE YOUR ANSWER
HOPE IT HELPS YOU
PLEASE MARK AS BRAINLIEST
Is this right?
Pic below! :D
Answer:
I Don't Think So
But ask your parents or your older brother or sisters
That looks right about those questions you were asking me the last part where you got 1.50 is a little confusing could you explain maybe how you got that but the right answer is there
in the diagram, angle ACB=65
what does angle BCD=
-90
-180
-65
-115
Answer:
65 is the answer.........
Answer:
the answer would be 180-65 so it is 115
if the given data is 20,30 3x+5 divided by 2 ,50, 60 and the median is 40 find the value of x
Answer:
in the image. Median is the middle number
This question is Algebra 1 - write linear functions from word problems
Answer: y = -10x + 293
Step-by-step explanation:
Since you start with $293, this is your intercept.
Since you withdraw $10 per week, your m is -10. Per in a sentence means rate of change.
i have to explained it in words pls help
9514 1404 393
Answer:
slope: cost per miley-intercept: fixed base costStep-by-step explanation:
The y-intercept is the value of y when x=0. The problem statement tells you that x is the number of miles driven, and y is the rental cost.
When the number of miles driven is zero, the rental cost is ...
y = 2.25×0 +70
y = 70
The cost of renting the truck is $70 when it isn't driven anywhere. The y-intercept ($70) is the basic, fixed cost of truck rental.
__
If x=1 (1 mile driven), then 2.25 is added to the cost of the truck rental. The slope (2.25) is the cost per mile driven. (That mileage cost is added to the basic rental cost.)
Use the pattern in the sequence to determine the next two terms.
-16, 8, -4, 2. . .
Answer:
-1 , 1/2
Step-by-step explanation:
Each term is obtained by dividing by (-2)
-16/-2 = 8
So, the next two terms are:
2/-2 = -1
-1/-2 = 1/2
Find the quotient. Use a model to help you divide
6
.
15
÷
5
=
A.
1.03
B.
1.23
C.
1.3
D.
1.2
Answer:
Step-by-step explanation:
6.15/5=1.23
The answer is B.
Which is the numerical coefficient of the algebraic expression 15 + 10?
Answer:
15+10=5(3+2)
Step-by-step explanation:
before dividing 0.0045 divided by 9 what will the dividends become after the decimals is moved
Answer:
wsjkolp
Step-by-step explanation:
qwdcdfvhbjnkml,;.
One-fourth of a number increased by thirteen is less than two.
Answer: x < -44
Step-by-step explanation:
alright my fellow dude gamer, i want you to know that "a number" is basically just x
so lets do this
[tex]\frac{1}{4}x + 13 < 2[/tex]
ok now we are going to solve for x, no?
[tex]\frac{1}{4}x < -11[/tex]
i just subtracted 13 from both sides
now we divide -11 by 1/4
[tex]x < -44[/tex]
MAGIC! ABSOLUTELY FANTASTIC! OH MY GOODNESS AHHHHHHH