Final answer:
The nth term of the given arithmetic sequence 1, 4, 7, 10 can be determined using the formula 3n - 2.
Explanation:
The student is trying to find a formula that can be used to determine the nth term of a sequence given its first four terms: 1, 4, 7, 10.
This sequence is arithmetic, meaning each term increases by a constant difference, which in this case is 3.
To find the nth term of an arithmetic sequence, we use the formula an = a1 + (n - 1)d, where an is the nth term, a1 is the first term, n is the term number, and d is the common difference between the terms. For this sequence:
a1 is 1 (the first term of the sequence)d is 3 (the difference between successive terms)Substituting these values into the formula, we get:
an = 1 + (n - 1)×3
Therefore, the nth term an can be simplified to 3n - 2. So, the formula 3n - 2 can be used to determine the nth term in the sequence.
(x x y)a = xa x ya illustrates which property of eponents
subtract the quoient of 8 divided by 7 from 9
A mean ogre stole 27 of your muffins. That was 3/5 of all of them! With how many did you start ?
Which equation models the situation??
Answer:
the answer is (b) 4.95a+6.55b=27,95 hope this helped you guys
Step-by-step explanation:
can you guys plz like this question
Explain why you would make one of the addends a tens number when solving an addition problem.
Since we can add a number to a tens number easily, we make one of the addends a tens number when solving an addition problem.
Example 1:
Add 9 and 6.
9 + 6 = 9 + (1 + 5)
= (9 + 1) + 5
= 10 + 5 = 15
Note that adding 10 and 5 is much easier than adding 9 and 6.
Example 2:
Add 18 and 16.
18 + 16 = 18 + (2 + 14)
= (18 + 2) + 14
= 20 + 14 = 34
Note that adding 20 and 14 is much easier than adding 18 and 16.
The table shows the types of DVDs customers rented from Sunshine Movie Rentals last year.How many comedy and action movies were rented last year?
Alex is making 12 pennants for the school fair.The pattern he is using to make the pennants is shown in the figure.The fabricfor the pennants costs $1.25 per square foot. How much will it cost Alex to make 12 pennants?
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THIS IS URGENT!!!!
PLEASE ANSWER WITH WORK.
Use the picture to answer. Which real number is not both a whole number and an integer? A. 423 B. 259 C. –156D. 0
Which is f(5) for the function –2x2 + 2x – 3? –107 –63 –43 –37
The quotient of 12 and opposite of 3 plus the product of the opposite of 14 and 4
What is 1/6×2/3= to what
Brandon is shopping at old navy during a sale. All shorts are $16 each and all t-shirts are $10 each. He has $100 to spend and would like to purchase at least 2 pairs of shorts
(04.02 LC)
The graph below shows the numbers of cups of grape juice that are mixed with cups of lemon-lime soda to make servings of grape soda:
A graph is shown. The values on the x-axis are 0, 1, 2, 3, 4, 5. The values on the y-axis are 0, 2, 4, 6, 8, 10. Points are shown on ordered pairs 0, 0 and 1, 2 and 2, 4 and 3, 6 and 4, 8. These points are connected by a line. The label on the x-axis is Lemon lime Soda in cups. The title on the y-axis is Grape Juice in cups.
What is the ratio of the number of cups of grape juice to the number of cups of lemon-lime soda?
using the points, the x is Soda and the Y is the grape juice
for (1,2) 1 soda to 2 juices
(2,4) 2 sodas to 4 juices
so the ratio is 2 juices to every 1 soda which is a 2/1 ratio
Answer:
C
Step-by-step explanation:
seven more than the quotient of a number and 2 is 10
Approximately how many times greater is 8.5×10^8 than 3.4×10^5
Which expression is the completely factored form of x6−64y3 ? (x2−4y)(x4−16y2) (x2−4y)3 (x2−4y)(x4+4x2y+16y2) (x2+4y)(x4−4x2y+16y2)
The expression which is obtained on factorising it completely is:
[tex]x^6-64y^3=(x^2-4y)(x^4+16y^2+4x^2y)[/tex]
Step-by-step explanation:We are asked to factorize the expression which is given by:
[tex]x^6-64y^3[/tex]
This expression could also be written as:
[tex]x^6-64y^3=(x^2)^3-(4y)^3[/tex]
Now, we know that:
[tex]a^3-b^3=(a-b)(a^2+b^2+ab)[/tex]
Here we have:
[tex]a=x^2\\\\and\\\\b=4y[/tex]
Hence,
[tex]x^6-64y^3=(x^2-4y)((x^2)^2+(4y)^2+x^2\times 4y)[/tex]
i.e.
[tex]x^6-64y^3=(x^2-4y)(x^4+16y^2+4x^2y)[/tex]
Iodine-125 has a half-life of about 60 days.
How many milligrams of a 500 mg sample will remain after 300 days?
the answer is 15.625mg
7% percent is what length of 200ft
Final answer:
To find 7% of 200ft, you multiply 200 by 0.07, resulting in 14ft, which is the length that represents 7% of 200 feet.
Explanation:
The student is asking how to calculate 7% of a 200 foot measurement. To find this, we can multiply 200 feet by 7% (or 0.07) to find the length that represents 7% of 200 feet. The calculation would be:
7% of 200 ft = 0.07 × 200 ft = 14 ft
So, 7% is equal to 14 feet of the 200ft measurement. This type of calculation can be useful for understanding proportions and scales in various applications, including model-making or drawing to scale.
How many ounces are in 14 grams?
Plz help me on that problem number 20
divide the amount deducted ( $24) by the number of bus rides (12)
24 / 12 = 2
it cost $2 per ride
He Sun bought 3 skirts for s dollars each and a jacket that costs 5 times as much as each skirt. She spent a total of $280. How much did the jacket cost? 1
Movie rental at a video store, you have two options for renting movies. You can pay $4 per movie,or you can pay a one time membership fee of $20 and then pay only $1.50 per movie. After how many movie rentals will she cost of renting movies with the membership be less than the cost of renting movies without the membership?
After 8 movie rentals, will the cost of renting movies with the membership be less than the cost of renting movies without the membership.
What are arithmetic Operations?The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.
Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.
As per the information given in the question,
There are two options for renting movies.
As per the first option,
Pay $4 per movie, so the equation will be,
y = 4x (i)
Where y is the total cost and x is the number of movies.
As per the second option,
Take a membership of $20, and they pay $1.50 per movie.
So, the equation will be,
y = 1.5x + $20 (ii)
Where y is the total cost and x is the number of movies.
Now, solve equations (i) and (ii)
4x = 1.5x + $20
4x - 1.5x = 20
2.5x = 20
x = 20/2.5
x = 8
To know more about arithmetic operations:
https://brainly.com/question/25277954
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Explain how knowing 1+7 helps you find the sum for 7+1
What is 1,120 divided by 35
The student store sells pencils that have a markup of 120 percent above their wholesale cost of $0.50 each. They also charge sales tax of 8 percent. What is the total cost of a pencil from the student store?
Answer:
The total cost of a pencil from the student store is $ 1.188
Step-by-step explanation:
Given,
The original cost or wholesale cost of each pencil = $ 0.50,
Markup percentage = 120 %,
So, the cost of the pencil after markup = 0.50 + 120% of 0.50
[tex]=0.50+\frac{120\times 0.50}{100}[/tex]
[tex]=0.50+\frac{60}{100}[/tex]
[tex]=0.50+0.6[/tex]
[tex]=1.1[/tex]
Now, sales tax = 8 %,
Hence, the final total cost of a pencil = 1.1 + 8 % of 1.1
[tex]=1.1 + \frac{8\times 1.1}{100}[/tex]
[tex]=1.1+\frac{8.8}{100}[/tex]
[tex]=1.1+0.088[/tex]
[tex]=\$1.188[/tex]
Marisa is keeping track of how many miles she runs.after her run on July 12 she had run a total of 7miles if she runs 3miles each day after that what is total numbers of miles she will run after her run on July 18
A landscaper buys a tree that grows at a rate of 18 inches every 3 months.
How much does it grow in 1 year?
A. 30 in.
B. 36 in.
C. 54 in.
D. 72 in.
A plant grows 9 in. every 2 months.
How will it grow in a year?
A. 18 in.
B. 36 in.
C. 54 in.
D. 108 in.
1 it grows 18 inches every 3 months
there are 12 months in 1 year
12 dived by 3 = 4 so there are 4 times it will grow 18 inches
18 * 4 = 72 inches, amount it grows in 1 year
Answer is D
2. it grows 9 inches every 2 months
12/2 = 6 times a year it will grow
9 *6 = 54 inches total for 1 year
Answer is C
WILL MARK BRAINLIEST! PLEASE ANSWER IM DESPERATE!
If a scientist has two empty breakers that he needs to fill with a certain chemical a three gallon beaker and a five gallon beaker. How can he measure exactly one gallon of the chemical without wasting any?
Can someone help me with this problem?
The distributive property loss of combined subtraction and multiplication for example 3 x (5-2) = (3X5) - (3x2) Explain how you could use the distributive property and mental math to find 5x198