Answer:A 4n+1
Step-by-step explanation: found the answer key
If the first term of an arithmetic sequence is 5 and the third term of the sequence is 13 then the nth term is A) 4n +1.
What are arithmetic and geometric sequence?An arithmetic sequence is a set of numbers in which every no. next to the previous number has the same common difference(d).
aₙ - aₙ₋₁ = aₙ₋₁ - aₙ ₋₂.
In a geometric sequence numbers are written in the same constant ratio(r).
It means every next number is a multiple of a common constant and the previous number.
aₙ/aₙ₋₁ = aₙ-₁/aₙ₋₂.
Given, The first term of an arithmetic sequence is 5.
The third term of the sequence is 13.
As we can conclude that for 2 terms the common difference is increased by 8.
∴ Common difference (d) = 8/2 = 4.
Now, we know the nth term of an arithmetic sequence is,
aₙ = a₁ + (n - 1).d.
aₙ = 5 + (n - 1)×4.
aₙ = 5 + 4n - 4.
aₙ = 4n + 1.
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suppose you are organizing a party and have a budget of b dollars for the appetizers. You plan to order v vegetarian spring rolls at $0.75 each and s shrimp rolls at $0.95 each.
The equation 0.75v+0.95s=b represents this constraint.
Solve 0.75v+0.95s=b for v
When would it be most helpful to use this equation?
Answer:
v = b/0.75 - 0.95s/0.75
Or
v = (b - 0.95s) / 0.75
Step-by-step explanation:
Solve 0.75v + 0.95s = b for v
This means making v the subject of the formula
0.75v + 0.95s = b
Subtract 0.95s from both sides
0.75v + 0.95s - 0.95s = b - 0.95s
0.75v = b - 0.95s
Divide both sides by 0.75
v = (b - 0.95s) / 0.75
v = b/0.75 - 0.95s/0.75
The equation will be useful in determining the number of vegetarian
3.128 Who Smokes More: Male Students or Female Students? Data 1.1 includes lots of information on a sample of 362 college students. The complete dataset is available at StudentSurvey. We see that 27 of the 193 males in the sample smoke, while 16 of the 169 females in the sample smoke. We will investigate the difference in proportions of male and female students who smoke.
Answer:
0.0452
Step-by-step explanation:
Given that:
There are a total of 193 males in the sample.
Number of males who smoke = 27
There are a total of 169 females in the sample.
Number of females who smoke = 16
The ratio of people who smoke to the total number of people is given by the formula:
[tex]\dfrac{\text{Number of people who smoke}}{\text{Total number of people in the sample}}[/tex]
So, the ratio of males who smoke is given as:
[tex]\dfrac{27}{193}=0.1399[/tex]
And
The ratio of females who smoke is given as:
[tex]\dfrac{16}{169} = 0.0947[/tex]
The difference between the ratio is = 0.1399 - 0.0947 = 0.0452
what is b when b^2=46
Answer:
b^2 = 46
b = √46 (or 6.78 rounded)
Answer:
b≈6.78
Step-by-step explanation:
Just punch in your calculator the square root of 46.
[tex]\sqrt{46} =b[/tex]
b≈6.78
brainliest!!!!!!!!!!!!!!!!!!!!!!!!!!!
Imagine that 12 goats got into a dumpster behind a pizza parlor and ate 3 pizzas. How many goats per pizza would that be?
Answer:
4
Step-by-step explanation:
6. Jase is cutting a board into 6 pieces. If each piece is
12 inches long, write and solve an equation to find
the length of the entire board.
I
Please help me will mark brainliest and 15 points
Answer:
6x12=72 The whole board was 72 inches long.
Step-by-step explanation:
If each piece were 12 inches and there were 6 pieces that is 6 multiplied by 12 which equals 72 inches.
Which ordered pair is the solution to the system of linear equations Negative 5 x + y = 26 and 2 x minus 7 y = 16?
9514 1404 393
Answer:
(-6, -4)
Step-by-step explanation:
If you're going to use technology to answer your questions, you may as well use appropriate technology: a graphing calculator. It shows the solution to the system is the ordered pair (-6, -4).
__
The first of the given equations can be solved for y, then that used to substitute for y in the second equation.
y = 5x +26
2x -7(5x +26) = 16
2x -35x -182 = 16
-198 = 33x . . . . . . . . add 33x-16
-6 = x . . . . . . . . . . . . divide by 33
y = 5(-6) +26 = -4 . . . find y
The solution is (x, y) = (-6, -4).
PLEASE SOMEONE HELP ASAP
1. conjugate -5+√x
2. conjugate 7-√b
-Please give an explanation!!
Answer:
1. [tex]-5-\sqrt{x}[/tex]
2. [tex]7+\sqrt{b}[/tex]
Step-by-step explanation:
The conjugate of a radical expression
[tex]a+\sqrt{b}[/tex]
is the expression
[tex]a-\sqrt{b}[/tex]
And vice-versa.
The conjugate is mostly used to rationalize radical expressions because the expression by its conjugate produces another expression without the radicals.
The question asks to find the conjugate of:
1. [tex]-5+\sqrt{x}[/tex]
The conjugate is
[tex]-5-\sqrt{x}[/tex]
2. [tex]7-\sqrt{b}[/tex]
The conjugate is
[tex]7+\sqrt{b}[/tex]
Given h(x)= x^2-4 what is h(6)?
A.32
B.-4
C.0
D.77
Answer:
A.32
Step-by-step explanation:
h(x)=x^2-4
h(6)=6^2-4
h(6)=36-4
h(6)=32
Find the product of -2*(-4)*9. Describe how you use the properties of
multiplication to find the product. Is the product positive or negative?
Answer:
72
Step-by-step explanation:
-2 x -4 = 8
8 x 9 = 72
Hope this helps! Please mark Brainliest!
Answer:
72 = Positive
Step-by-step explanation:
The property we use,
→ Associative property
Now the product will be,
→ (-2 × -4) × 9
→ 8 × 9 = 72
→ -2 × (-4 × 9)
→ -2 × (-36) = 72
Then the required sign is,
→ Positive (+ve)
Hence, the product is 72.
Pllzzzzz i need help im in a dca helppp
15. What is the value of x in the figure bellow?
Answer:
x=22.5
Step-by-step explanation:
Jayden starts with $1575 in a college savings account. His account earns interest at a rate of 2.7% compounded annually. How much money is in the account after 9 years?
Step-by-step explanation:
2.7/100*1575=42.525
then for 9years
9*42.525=$382.725
Solving Systems of Equations by Graphing - Scavenger Hunt
Add or subtract rational numbers! - 12 + 6
Answer:
-6
Step-by-step explanation:when there is a negative you whuld do 6+-12
The number -2 is a solution to which of the following inequalities?
1. x + 7 > 5
2. -3 x 10
3. x - 7 10
Answer:
it is number 1 it is number 1
ALDS championship hats are sold in boxes of 18. If the Tampa Bay Rays need 168 hats for team members and staff, how many boxes of hats would they need to order? Explain your
reasoning
Answer: 3024
Step-by-step explanation:
mutiply 18x 168
Just solve for 50 points and brainliest!
10-5=
6-4=
Answer:
10-5= 5
6-4=2
Step-by-step explanation:
subtracting
Answer:
10-5=5
6-4=2
Subtract 5 from the 10, which gets you 5.
Subtract 4 from 6, and you get 2.
what is 0.0042 as a fraction in simplest form
Answer:
21/5000
Step-by-step explanation:
0.0042 takes the form of 21/5000 as a fraction.
Answer:
21/500
Step-by-step explanation:
0.0042 = 42/1000, (There is 4 digits to the right of the decimal point)
42 is an even number so, divide by 2 to simplify.
42/2 = 21 and 1000/2 = 500
21/500 is your final answer because 21 is divisible by 7 and 3 but 500 cannot be divided by either of those to get a whole number.
Hope this helps! :)
(Brainlyest would be appreciated ;)
NEED HELP! A line has a slope of 9/7 and a y-intercept of 1/3. Which of the following is an equation of the line?
A 27x - 21y = -7
B 27x + 21y = 1
C 9x + 7y = 3
D 7x - 9y = -3
Please show work so I could understand this!
Answer:
A
Step-by-step explanation:
Take a look at the slope-intercept form of the equation .
[tex]y=mx+c[/tex]
Slope of 9/7 and y-intercept of 1/3 means replace m which is slope and c is the y-intercept which becomes
[tex]y=\frac{9}{7}x+\frac{1}{3}[/tex]
now we take LCM of 7 and 3 which becomes
[tex]y=\frac{27x+7}{21}[/tex]
and then,
[tex]21y=27x+7[/tex]
so A is our Answer
if arrange the equation accordingly
[tex]27x-21y=-7[/tex]
0.7686 ÷ -0.14 can someone answer this within 1 min for five star answer
Answer:
-5.49
Good Luck!!!
how are unit rates and equivalent ratios realted?
Answer:
A unit rate is a special kind of ratio, where the second number, or the denominator, is equal to one. With a unit rate, you are comparing a quantity to one. Some common unit rates are miles per gallon, price per pound, and pay rate per hour. ... Next, divide the price by the pounds so you can find the unit rate.
Step-by-step explanation:
Answer:
A unit rate is a special kind of ratio, where the second number, or the denominator, is equal to one. With a unit rate, you are comparing a quantity to one. Some common unit rates are miles per gallon, price per pound, and pay rate per hour. ... Next, divide the price by the pounds so you can find the unit rate.
Step-by-step explanation:
if length of the square is 7-x and width is 19-3x then what is the value of x
I need help on this question
Answer:
a3
Step-by-step explanation:
set a= {7,4, x, 8, 10, 5, 2}
if the median of set A is also its average, then what is one possible value of x?
a. 4
b. 6
c. 10
d. 16
Order from least to
greatest
2/5
50%
.42 random question
Answer:
2/5, 0.42, 50%
Step-by-step explanation:
2/5 = 0.4
0.42=0.42
50% = 0.5
Answer:
Step-by-step explanation:
just switch the 50% and ,42
2/5,,42,50% hope this helps
PLEASE HELP it’s literally easy
Answer:
it would be 4 right (the last one)
Step-by-step explanation:
on a scale, 1 inch represents 600 miles. How many miles does 3/4 represent
Which of these equations best describes the line of best fit for the data in the scatter plot relating time and distance?
(Answer options in the picture)
Answer:
D
Step-by-step explanation:
The y-intercept can't be 1.7 it's too low of a number and there can't be no y-intercept in the problem because the line does meet the y-axis
The perimeter of a square is 36cm
What is the area?
Answer:
81cm²
Step-by-step explanation:
36/4=9
9×9=81
Statement A swimming pool contains 500 gallons of water. A hose is turned on, and it fills the pool at a rate of 24 gallons per minute. Which expression represents the amount of water in the pool, in gallons, after 8 minutes? A. 500 . 24 . 8 B. 500 + 24 + 8 C. 500 + 24 . 8 D. 500 . 248
Answer:
c. 500 + 24 * 8
Step-by-step explanation:
if there is 500 gallons of water already in the swimming pool and we are trying to add more and we are adding 24 gallons for 8 minutes to the already existing pool of water.
The expression 500 + 24 × 8 represents the amount of water in the pool, in gallons, after 8 minutes. The correct answer would be an option (C).
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
If the swimming pool currently has 500 gallons of water in it and we are trying to add more, we would add 24 gallons of water over the course of 8 minutes.
As per the given information, the required expression would be as
500 + 24 × 8
Thus, the expression 500 + 24 × 8 represents the amount of water in the pool, in gallons, after 8 minutes.
Hence, the correct answer would be option (C).
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If cheese costs $5.65 per pound, what will be the total cost of 2.2 pounds of cheese? plz help meee