The explicit formula for the given arithmetic sequence is a(n) = 3n - 1
The given sequence is:
f(1) = -2
f(2) = 1
f(3) = 4
f(4) = 7
f(5) = 10
Notice that this is an arithmetic sequence. The common difference is:
d = a(n) - a(n-1)
= a(2) - a(1) = 1 - (-2) = 3
The general formula for the nth term of an arithmetic sequence is:
a(n) = a(1) + (n-1) . d
Substitute a(1) = 2 and d = 3:
a(n) = 2 + (n - 1) . 3
a(n) = 3n - 1
This is the explicit formula for the nth term.
Learn more about arithmetic sequence here:
https://brainly.com/question/27029595
#SPJ4
determine the rate of change for the graph from 2010 to 2012
Answer:
B)-20 students per year
Kiesha and her classmates wrote proportions for the reduction of a triangle,
height
height
base
base
Which proportions are set up correctly? Select three options.
Answer:
1,2,4
Step-by-step explanation:
Answer:
Trust the person above me, they're correct it's A,B,D
Step-by-step explanation:
if you 3.50$ and you need to buy buttons, the buttons cost .85cents how many buttons can you buy? HURRY ITS DUE IN 30!
Answer:
4 buttons
Step-by-step explanation:
first divide 3.5 by 0.85 and you will be able to buy at most 4 buttons, as you can't include a decimal of a button
Answer:
4
Step-by-step explanation:
Mr. R's kindergarten class has 22 students. There are 2 more girls than boys in his class. How many boys are there?
let x=
let y=
Answer:
13
Step-by-step explanation:
If we want to find out if there are an equal amount of boys and girls, then we do 22/2 which is 11. BUT, it says there are two more girls than boys. So...
11+2 since there are two more boys than girls. 11+2=13 girls.
Mr. Rodriguez is packing bags of snacks for his children’s lunchboxes. If he has 20 blueberries and 30 grapes, what is the maximum number of bags of snacks that he can pack so that each bag has the same number of blueberries and grapes?
5 bags
10 bags
50 bags
60 bags
Answer:
10bags
Step-by-step explanation:
Answer:
10 bags.
Step-by-step explanation:
I got it right on my quiz- Edge2020
What ratio is equivalent to 5 to 4
Can someone explain step by step process
Answer:
Step-by-step explanation:
3*7*10*10*10*10*10*10*10
(5+2=7)(since is multiplication you add)
21*[tex]10^{7}[/tex]=B
2*10*10*10*10*10
4*10*10
(5-2=3)(since is division you subtract)
0.5*[tex]10^{3}[/tex]=c
Find x to the nearest tenth
Answer:
15.1
Step-by-step explanation:
Can someone help me with these pls : ( I'm confused
Answer:
xy=3
QR =12
Step-by-step explanation:
Answer:
Step-by-step explanation:
XY is 3 (B)
QR is 12 (B)
Brainliest? Have a good day!
Function g(x) has a removable discontinuity at x = c, where g(c) is undefined. Which statement describes the one-sided limits at x = c?
Answer:
B
Step-by-step explanation:
The function that describes the one-sided limits at x = c.
[tex]\lim_{x \to c^-} g(x) = a\\\\ \lim_{x \to c^-} g(x) = a[/tex] ( for some value of a).
What is removable discontinuity?A discontinuity is removable if the limit of the function at the point of discontinuity exists and the value of the function exists but they aren't equal to each other.
We can remove that discontinuity by making the value of the function equate to the limiting value of the function at that point.
Function g(x) has a removable discontinuity at x = c,
where g(c) is undefined.
In this case, the statement that's is true for g(x) is that you can remove the discontinuity at x = c by defining g(c) = a.
The function that describes the one-sided limits at x = c.
[tex]\lim_{x \to c^-} g(x) = a\\\\ \lim_{x \to c^-} g(x) = a[/tex] ( for some value of a).
Learn more about removable discontinuity here:
https://brainly.com/question/27330208
#SPJ2
Which variable represents the Constant of Proportionality (COP)
х
у
K
f
Answer:
k
Step-by-step explanation:
The equation representing proportion is
y = kx ← k is the constant of proportionality
1) What was an advantage the British forces had during the war?
2) What was a disadvantage for the British?
3) What was an advantage for the American forces?
4) What was one disadvantage for the Americans? HELP QUICK
Answer:
1. They had a fully formed government and powerful empire
2. They were fighting in an area that was 3,000 miles away from their home country
3. They knew the layout of the land
4. Their currency was far worse than that of the British, and they didn't have access to gold which was a universal currency
Natalia earns a base salary of $210 each week as a waitress. She usually makes an additional 15% in tips on all orders. Natalia has set a goal to make $1,000 each week. What inequality can she use to calculate x , the total dollar amount of orders needed for her to meet her goal?
Answer:
The inequality that she can use to calculate x, the total dollar amount of orders needed for her to meet her goal is: 210+0.15x≥1,000.
Step-by-step explanation:
The amount that Natalie makes each week is the result of adding up the base salary she earns plus the result of multiplying the dollar amount of orders for 15% and this result should be greater than or equal to $1,000, which would be:
210+0.15x≥1,000
Now, you can solve for x:
x≥(1,000-210)/0.15
x≥5,267
According to this, the answer is that the inequality that she can use to calculate x, the total dollar amount of orders needed for her to meet her goal is: 210+0.15x≥1,000.
Identify the Y intercept of the equation 5x+8y=120
Answer:
120
Step-by-step explanation:
baqhBajBjabajabqj
Due to a late summer drought, the change in water level (in feet) in the pond behind Eastview is falling
every day. The Science Club made a graph of the water level over time.
They found the y-intercept to be (0,26). They determined the x-intercept to be (52,0).
Thoroughly explain the meaning of the x-intercept. (Use a full sentence that includes the values of that
intercept.)
Answer:
The x-intercept represents when the water level of the Eastview pond. This shows that the Eastview pond's water level reached 0 at 52 (days/years/hours/minutes... etc).
√72
Plzzzzzzzz help
I have 3 more
√619
√77
√89
Answer:
[tex]\sqrt{72} =8.48528\\\sqrt{619} =24.8797\\\sqrt{77} =8.77496\\\sqrt{89} =9.43398[/tex]
Step-by-step explanation:
hope this helps :)
Pls help me -.-" Mike surveyed 250 teenagers to find out their favorite food. He found that 76% of the teenagers surveyed like burgers. Part A: How many teenagers surveyed like burgers? Show your work. (4 points) Part B: In another survey, Jane found that 25% of the total number of teenagers surveyed like sandwiches. If 50 teenagers like sandwiches, what is the total number of teenagers that Jane surveyed? Show your work. (4 points) Part C: Give an example of a situation in which a percentage is greater than 100%. (2 points)
Answer:
A. 190 Teenagers
B. 200 Teenagers
C. A situation where we can have percentage greater than 100 % is found during increase in growth of population
Step-by-step explanation:
Part A.
Mike surveyed 250 teenagers to find out their favorite food. He found that 76% of the teenagers surveyed like burgers. Part How many teenagers surveyed like burgers?
We were told from the question, 76% of the teenagers surveyed loved burgers.
Total number of teenagers = 250
Therefore, the number of teenagers surveyed that loved burgers =
76/100 × 250
= 190 teenagers
Part B: In another survey, Jane found that 25% of the total number of teenagers surveyed like sandwiches. If 50 teenagers like sandwiches, what is the total number of teenagers that Jane surveyed?
Let the total number of teenagers surveyed be represented by x
Therefore,
25% of x = 50 teenagers
25/100 × x = 50
25x/100 = 50
Cross Multiply
25x = 100 × 50
25x = 5000
x = 5000/25
x = 200
Therefore, 200 teenagers were surveyed
Part C: Give an example of a situation in which a percentage is greater than 100%. (2 points)
A situation where we can have percentage greater than 100 % is found during increase in growth of population
Answer:
Mark above brainiest!
Step-by-step explanation:
You cant make brainly without a second answer! ;] So mark them brainly!
Question8: Find the miss
exponent (y)
(3x³)(4x³) = 12x¹2
Answer: 12x⁶
Step-by-step explanation:
[tex](3x^3)(4x^3)=\\\\(3)(4)(x^3)(x^3)=\\\\12x^{3+3}=\\\\12x^6[/tex]
I will give brainlist if you answer all these questions please! I promise I will :))
2. Aashvi is making garlic naan. The recipe calls for 2 cups of flour, but Aashvi only has teaspoons. If 24 teaspoons are equal to 1/2 cup, how many teaspoons will Aashvi use to measure 2 cups of flour? *
Answer:
98 teaspoons
Step-by-step explanation:
Aashvi is making garlic naan. The recipe calls for 2 cups of flour, but Aashvi only has teaspoons. If 24 teaspoons are equal to 1/2 cup, how many teaspoons will Aashvi use to measure 2 cups of flour? *
From the above question, we understand that:
1/2 cup of flour = 24 teaspoons
2 cups of flour = x teaspoons
Cross Multiply
1/2x = 24 × 2
x = 48 ÷ 1/2
x = 48 × 2
x = 98 tea spoons
Therefore, Aashvi will use 98 teaspoons to measure 2 cups of flour.
Five less than six times a number is
the same as seven.
Answer:
2
Step-by-step explanation:
hope this helps
Out of 90 candies, 30% are chocolate candies. How many candies are chocolate candies
Answer:
27 candies are chocolate candies.
Step-by-step explanation:
What we need to do is find 30% of 90, since this number will be the number of chocolate candies.
30% of 90 is basically 3/10 (30%) of 90:
(3/10) x 90 = 27
There are 27 chocolate candies.
Answer:
27
Step-by-step explanation:
it is as simple as 3*90÷10
6v^2+13v-8= −3 solve the equation for all real solutions
Answer:
v = -5/2, 1/3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Standard Form: ax² + bx + c = 0FactoringQuadratic Binomial RootsStep-by-step explanation:
Step 1: Define
6v² + 13v - 8 = -3
Step 2: Solve for v
Add 3 to both sides: 6v² + 13v - 5 = 0Factor: (2v + 5)(3x - 1) = 0Find roots: v = -5/2, 1/3Will someone please help me with this problem, and if you can will you show me step by step.
slope = undefined & x-intercept = -13
The linear equation with undefined slope and an x-intercept of -13 is:
x = -13
Which is the equation of the line with an undefined slope and x-intercept of -13?
The general linear equation is written as:
y = a*x + b
Where a is the slope and b is the intercept of the y-axis.
And undefined slope is used only for vertical lines, where the slope (technically) tends to infinite.
These lines are of the form x = K, where K is a real number. (so we have x = constant)
And we know that the x-intercept is at x equal -13, with that we can conclude that the constant will be equal to -13, then the equation of the line is:
x = -13.
If you want to learn more about linear equations:
https://brainly.com/question/1884491
#SPJ1
Finding the slope of the line.
It takes 1/3 cup of rice to make one serving. How many servings of rice can you make with 4 cups? pls answer I will mark brainliest
I would say twelve i think
duuno
Please help ASAP!!!!!!
Answer:
the third one i think :p
Step-by-step explanation:
Find the mode of the data. 8,4,5,3,4,5,3,7,6
Answer:
3,4,5
Step-by-step explanation:
appear mutiple times
Mode= 4, 5, 3
this is mode for the data because To find the mode, or modal value,it is best to put the numbers in order. Then count how many of each number. A number that appears most often is the mode...hope this helps
BRAINLIEST!!! Which graph shows a dilation?
A customer purchased a total of 16 washcloths and towels. Each washcloth costs $10.50 and each towel cost $15.00. The customer spent a total of 226.50. How many washcloths did the customer buy? (pls help me!)