Answer: Your answer will be 1,416
Step-by-step explanation: First you see how many day March and February had March had 31 days and 31 days= 744 hours and February has 28 days and 28 days= 672 hours so know I add the two numbers 744 + 672 = 1,416.
Answer:
You should multiply with the days in March which is 744 hours. And then you have to multiply with the days in February witch is 696 and then you have to subtract them.
Step-by-step explanation:
have a nice day.
Jero and Max rented a canoe for 4 hours. They each rented a life jacket. How much money did they spend? How did you find the answer?
Answer:
how much did the stuff cost to rent per hour
Answer:
Step-by-step explanation:
If it takes 15.25(432g) of flour to make 24 cupcakes how much flour will it take to make 6 cupcakes?
6 cupcakes is 1/4 of 24 ( 24 / 6 = 4).
This means you would need 1/4 the amount of flour.
Divide the amount needed for 24 cups by 4:
15.25 / 4 = 3.8125
Round answer as needed.
Answer:
3.8125 (108g) of flour are required
Step-by-step explanation:
We can use ratio's to solve this problem
432 g x g
------------ = -----------
24 cupcakes 6 cupcakes
Using cross products
432*6 = 24x
Divide each side by 24
432*6/24 = 24x/24
108 =x
108 grams
If we needed to use 15.25 units? instead
15.25 x
------------ = -----------
24 cupcakes 6 cupcakes
15.25 * 6 = 24x
Dividing by 24 on each side
15.25 *6/24 = 24x/24
3.8125 =x
stefanie bought a pack of pencils for 1.75 and some erasers that cost 0.25 each, she paid a total of 4.25 for these items. how many erasers did she buy
Subtract the cost of the pencils from the total cost. This will be he amount she spent on erasers. Then divide that amount by the cost of each eraser to get the total.
4.25 - 1.75 = 2.50 spent on erasers
2.50 / 0.25 = 10
She bought 10 erasers.
Round 0.996 to the nearest tenth
Answer:
1.0
Step-by-step explanation:
The answer is 1.0 It is not a tenth but 99 is closer to 100. witch is 1.0 Do you try looking it up. This is a site i used. It is great. It is called calculator soup.
Which function is undefined for x = 0? y=3√x-2 y=√x-2 y=3√x+2 y=√x=2
For this case, we must indicate which of the given functions is not defined for[tex]x = 0[/tex]
By definition, we know that:
[tex]f (x) = \sqrt {x}[/tex] has a domain from 0 to infinity.
Adding or removing numbers to the variable within the root implies a translation of the function vertically or horizontally. For it to be defined, the term within the root must be positive.
Thus, we observe that:
[tex]y = \sqrt {x-2}[/tex] is not defined, the term inside the root is negative when [tex]x = 0[/tex].
While [tex]y = \sqrt {x + 2}[/tex] if it is defined for [tex]x = 0.[/tex]
[tex]f(x)=\sqrt[3]{x}[/tex], your domain is given by all real numbers.
Adding or removing numbers to the variable within the root implies a translation of the function vertically or horizontally. In the same way, its domain will be given by the real numbers, independently of the sign of the term inside the root.
So, we have:
[tex]y = \sqrt [3] {x-2}[/tex] with x = 0: [tex]y = \sqrt [3] {- 2}[/tex] is defined.
[tex]y = \sqrt [3] {x + 2}[/tex]with x = 0: [tex]y = \sqrt [3] {2}[/tex]in the same way is defined.
Answer:
[tex]y = \sqrt {x-2}[/tex]
Option b
The function that are undefined for (x=0) is [tex]y = \sqrt[3]{x-2}[/tex] and [tex]y = \sqrt{x-2}[/tex] and this can be determined by putting (x=0) in all the given expressions.
Given :
Function 1 - [tex]y = \sqrt[3]{x-2}[/tex]
Function 2 - [tex]y = \sqrt{x-2}[/tex]
Function 3 - [tex]y = \sqrt[3]{x+2}[/tex]
Function 4 - [tex]y = \sqrt{x+2}[/tex]
Evaluate each function at (x = 0) to determine which function is undefined for (x = 0).
Function 1 - [tex]y = \sqrt[3]{x-2}[/tex]
put (x = 0) in above function:
[tex]y = \sqrt[3]{-2}[/tex]
Therefore, it can be concluded that the above function is not defined for (x=0).
Function 2 - [tex]y = \sqrt{x-2}[/tex]
put (x = 0) in above function:
[tex]y = \sqrt{-2}[/tex]
Therefore, it can be concluded that the above function is not defined for (x=0).
Function 3 - [tex]y = \sqrt[3]{x+2}[/tex]
put (x = 0) in above function:
[tex]y = \sqrt[3]{2}[/tex]
Therefore, it can be concluded that the above function is defined for (x=0).
Function 4 - [tex]y = \sqrt{x+2}[/tex]
put (x = 0) in above function:
[tex]y = \sqrt{2}[/tex]
Therefore, it can be concluded that the above function is defined for (x=0).
For more information, refer to the link given below:
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Y'all, please help a girl out. ಥ_ಥ This problem is driving me nuts, but it's simple but I can't get the answer and that's why I'm going nuts. Please help. (╥﹏╥)
Answer:
The perimeter is 22.
Step-by-step explanation:
If you turn this shape into a rectangle, the perimeter doesn't change.
The width is given, it is 7.5. The height is BC+DE = 3.5
Then the perimeter is twice the width plus twice the height:
7.5*2 + 3.5*2 = 15+7 = 22
which set of ordered pairs represents a function
buddy has 1 out of 11 students in the classroom who are spreading christmas cheer. what % of the class is he?
Answer:
9%
Step-by-step explanation:
1/11 students
1 divided by 11
=0.09090909090909
to convert the decimal to a percentage, multiply 100 to .09
9%
Kaylib’s eye-level height is 48 ft above sea level, and Addison’s eye-level height is 85 1/3 ft above sea level. How much farther can Addison see to the horizon? Use the formula d=sqrt 3h/2, with d being the distance they can see in miles and h being their eye-level height in feet.
Final answer:
By applying the given formula d = sqrt(3h/2), we find that Addison can see 2.82 miles farther to the horizon than Kaylib, based on their eye-level heights above sea level.
Explanation:
The question asks how much farther Addison can see to the horizon compared to Kaylib based on their different eye-level heights above sea level, using the formula d = sqrt(3h/2). To solve this, we need to first calculate the distance each person can see to the horizon and then find the difference between the two distances.
Let's calculate the distance for Kaylib:
h = 48 ft, so d = sqrt(3 * 48 / 2) = sqrt(72) = 8.49 miles.
Now let's calculate the distance for Addison:
h = 85¹⁄₃ ft, which we convert to a decimal: 85.333 ft, so d = sqrt(3 * 85.333 / 2) = sqrt(128) = 11.31 miles.
The difference between Addison's horizon and Kaylib's is 11.31 miles - 8.49 miles = 2.82 miles.
Addison can see 2.82 miles farther to the horizon than Kaylib.
Answer: B
Step-by-step explanation:
Is -0.397 bigger than -2/6
Answer:
nooooooooooooooooooo
Step-by-step explanation:
if you divide -2 by 6, you get -0.3333333333... and since their negative -2/6 is a bigger number because -0.397 goes more left on the x axis.
Slitsnails are large mollusks that live in deep waters. They have been found in the range of elevations shown. Write and graph an inequality that represents this range. 100ft - 2500ft
Answer:
The range could be written in inequality form will be [tex]-2500\leq x\leq -100[/tex].
Step-by-step explanation:
Slitsnails live in the deep water. It is given that they live between a depth of 100 ft to 2500 ft.
Let [tex]x[/tex] represents the depth of water from the water surface.
As we go down the water, the depth will be negative.
So, the depth could vary from 100 ft to 2500 ft.
The minimum depth should be 100 ft and the maximum depth is 2500 ft.
Thus, the range could be written in inequality form as,
[tex]-2500\leq x\leq -100[/tex]
In a graph, the inequality can be shown as,
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The inequality representing the range of elevations for Slitsnails is x ≥ 100 and x ≤ 2500. The graph of the inequality shows the range on a number line.
Explanation:Inequality representing the range of elevations for Slitsnails:The range of elevations for Slitsnails is from 100ft to 2500ft. To write an inequality, we'll use the variable x to represent the elevation. The inequality can be written as:
x ≥ 100 and x ≤ 2500
Graph of the inequality:To graph this inequality, we'll plot the values on a number line. We'll start at 100 and draw a closed circle to represent that the value is included in the range. Then, we'll draw an arrow to the right to show that the values continue up to 2500, but do not include 2500. The graph will look like:
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At first, the ratio of Dave's savings to Sam's savings was 5:4. After each of them donated $40 to charity, the ratio of Dave's savings to Sam's savings became 13:10. What was Dave's savings at first?
Answer:
$300
Step-by-step explanation:
Let Dave's saving be D and Sam's savings be S
"At first, the ratio of Dave's savings to Sam's savings was 5:4":[tex]\frac{D}{S}=\frac{5}{4}\\4D=5S\\\frac{4}{5}D=S[/tex]
"After each of them donated $40 to charity, the ratio of Dave's savings to Sam's savings became 13:10":So we subtract 40 from each of them and then the ratio becomes 13 is to 10. Hence we can write:
[tex]\frac{D-40}{S-40}=\frac{13}{10}\\10(D-40)=13(S-40)\\10D-400=13S-520\\-400+520=13S-10D\\120=13S-10D[/tex]
Plugging in [tex]\frac{4}{5}D[/tex] into S (as we found earlier), we can solve for D (our answer):
[tex]120=13S-10D\\120=13(\frac{4}{5}D)-10D\\120=\frac{52}{5}D-10D\\120=\frac{2}{5}D\\D=\frac{120}{\frac{2}{5}}=120*\frac{5}{2}=300[/tex]
So, Dave's savings at first, D, is $300.
Students are traveling in two cars to a football game 135 miles away. The first car leaves on time and travels at an average speed of 45 miles per hour. The second car starts 1/2 hour later and travels at an average speed of 55 miles per hour. How long will it take the second car to catch up to the first car? Will the second car catch up to the first car before the first car arrives at the game?
Final answer:
The second car, starting 1/2 hour late and traveling at 55 miles per hour, will take 2.25 hours to catch up to the first car. This means it will catch up before the first car, traveling at 45 miles per hour, reaches the destination 135 miles away in 3 hours.
Explanation:
The question involves calculating the time it will take for the second car, traveling at an average speed of 55 miles per hour and starting 1/2 hour later, to catch up to the first car, which left on time traveling at an average speed of 45 miles per hour to a destination 135 miles away. To solve this, we need to find when both cars have traveled the same distance.
First, calculate the distance the first car has traveled by the time the second car starts: Distance = Speed × Time, which is 45 miles/hour × 0.5 hours = 22.5 miles. This means the second car starts 22.5 miles behind the first car.To catch up, the second car needs to cover this 22.5-mile gap in addition to the same distance covered by the first car moving forward. The relative speed at which it's catching up to the first car is the difference in their speeds: 55 miles/hour - 45 miles/hour = 10 miles/hour. Thus, the time to catch up is calculated as Time = Distance / Speed, which in this case is 22.5 miles / 10 miles/hour = 2.25 hours.Finally, since the first car travels at 45 miles per hour, we calculate if it arrives before being caught: Time of travel for the first car to reach 135 miles is 135 miles / 45 miles per hour = 3 hours. Since 2.25 hours (the catch-up time) is less than 3 hours (the travel time to the destination), the second car will indeed catch up to the first car before it arrives at the football game.
What is the measure of arc ab
34
70
110
104
Answer: choice B) 70 degrees
Minor arc AB is equal in measure to the central angle BPA, which cuts off the arc in question.
Solve 1/2 - 60% -25%
Answer:
-35%
Step-by-step explanation:
To solve this equation, the first thing we have to do is to convert percentages to decimals because we are doing mathematical operations with a fraction.
To convert a percentage to a decimal, we just divide by 100. So, 60% equals 0.60, and 25% equals 0.25.
Next, we subtract these values from 1/2.
So, we have the following steps:
1. Calculate 1/2 - 0.60 (which is the decimal equivalent of 60%). This gives us -0.10.
2. Then subtract 0.25 (which is the decimal equivalent of 25%) from the result. So, -0.10 - 0.25 equals -0.35.
Therefore, 1/2 - 60% - 25% equals -0.35.
Identify the type of sequence shown in the table below and select the appropriate response. (5 points)
n f(n)
1 12
2 −36
3 108
4 −324
5 972
Its geometric as you are multiplying by -3 each time
Answer:
The given sequence is geometric, which reason is -3.Step-by-step explanation:
If we pay attention to the sequence, we would observe that [tex]f(n)[/tex] is increasing by a reason of [tex]-3[/tex], because
[tex]12(-3)=-36\\-36(-3)=108\\108(-3)=-324\\-324(-3)=972[/tex]
So, basically, each term is being multiplied by [tex]-3[/tex], that's what makes the sequence, which is a geometric sequence, because it's being built by a factor, that is, a number which multiplies each term.
When you have to deduct if you have a arithmetic sequence or a geometric sequence, you need to observe if such sequence is increasing or decreasing faster. Like this case, you can see that the numbers are increasing rapidly, that means it's built based on a factor, not a difference, because when we use a difference to form a sequence, that will grow slower and it would be an arithmetic sequence.
Therefore, the given sequence is geometric, which reason is -3.
a sphere has a diameter of 32 ft. what is it’s surface area
Answer:
3216.99
Step-by-step explanation:
A = 4 [tex]\pi[/tex] [tex]r^{2}[/tex]
d = 2r
A =[tex]\pi[/tex] [tex]d^{2}[/tex]
= [tex]\pi[/tex] * 32^2 = 3216.99
Please help and show work!! I really need help please!!
[tex]\text{Let}\ k:y=m_1x+b_1\ \text{and}\ l:y=m_2x+b_2,\ \text{then}\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\-------------------------\\\\\text{We have}\ 5x+3y=8\qquad\text{subtract 5x from both sides}\\\\3y=-5x+8\qquad\text{divide both sides by 3}\\\\y=-\dfrac{5}{3}x+\dfrac{8}{3}\to m_1=-\dfrac{5}{3}\\\\\text{Therefore}\ m_2=-\dfrac{1}{-\frac{5}{3}}=\dfrac{3}{5}\\\\Answer:\ \boxed{b.\ \dfrac{3}{5}}[/tex]
--------------------------------------------------------
[tex]\text{Let}\ k:y=m_1x+b_1\ \text{and}\ l:y=m_2x+b_2,\ \text{then}\\\\l\ \parallel\ k\iff m_1=m_2\\\\\text{We have}\ 3x-5y=10\qquad\text{subtract 3x from both sides}\\\\-5y=-3x+10\qquad\text{divide both sides by (-5)}\\\\y=\dfrac{3}{5}x-2\to m_1=\dfrac{3}{5}\\\\\text{Therefore we have}\ m_2=\dfrac{3}{5}.\\\\Answer:\ \boxed{D.\ y=\dfrac{3}{5}x}[/tex]
Answer:
Answer Left Panel: 3/5 or B
Answer Right Panel: D
Step-by-step explanation:
Left Panel
5x + 3y = 8 Subtract 5x from both sides5x - 5x + 3y = - 5x + 8 Combine3y = - 5x+ 8 Divide by 33y/3 = -5x/3 + 8/3 y = - 5x/3 + 8/3 The slope of any line is the number with the x Slope of this line = -5/3The slope of two lines that are perpendicular when multiplied = - 1slope of the given line(m1) * slope of the perpendicular(m2) = - 1m1 * m2 = - 1-5/3 * m2 = - 1 Multiply by 3-5x/3 *3 = - 1 * 3 -5x = - 3 Divide by -5-5x/-5 = -3 / 5x = 3/5Right Panel
The slope of a line parallel to another line is the same as the given line.
The given line is 3x - 5y = 10 Subtract 3x from both sides3x - 3x - 5y = -3x + 10 Combine-5y = -3x + 10 Divide by - 5-5y/-5 = -3x/-5 + 10/-5 Do the divisiony = 3x/5 - 2 So look for a line with a slope of 3/5y= 3x /5 Answer DEasy 7 points!!! Please help!! Consider the function f(x)=-2/3x+5 what is f(-1/2)? Enter your answer as a simplified fraction in the box. F(-1/2)=
Answer:
F(-1/2)= 5 1/3
Step-by-step explanation:
-1/2 X -2/3 = 1/3 because the two negatives cancle out. 1/3 + 5=
5 and 1/3.
Answer:
5 1/3
Step-by-step explanation:
the length of a rectangle is 4 less than twice the width. the perimeter of the rectangle is 34 feet. find the length and width of the rectangle.
Answer: The length is 10ft, the width is 7ft.
Step-by-step explanation:
Let L be the length
Let w be the width
The equation for the perimeter is:
2L+2w=34
We also know that L=2w-4
So we can insert L=2w-4 into 2L+2w=34
2(2w-4)+2w=34
4w-8+2w=34
6w=42
w=7
If the width is 7, we can insert it into 2L+2w=34 to find out the length
2L+14=34
2L=20
L=10
The width is 7 ft, the length is 10 ft.
The length and width of the rectangle are 10 feet and 7 feet respectively. This is determined by setting up and solving equations based on the given information about the relationship between the length and width and the perimeter of the rectangle.
Explanation:Given that the length (L) of the rectangle is 4 less than twice the width (W), we can represent this as:
L = 2W - 4
. We also know that the perimeter (P) of the rectangle is 34 feet. The formula for the perimeter of a rectangle is
P = 2L + 2W
. Substituting L in the perimeter equation gives
P = 2(2W - 4) + 2W = 34
. Simplifying the equation leads to
4W - 8 + 2W = 34
, and then
6W = 42
when you add 8 to both sides. Solving for W gives
W = 7 feet
. Substituting W = 7 into the length equation gives
L = 2(7) - 4 = 10 feet
. Therefore, the width and length of the rectangle are 7 feet and 10 feet respectively.
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Mrs.Cox is baking a ham for dinner. It takes 1 hour and 30 minutes to bake. The family eats at 6:15 p.m. What time should Mrs.Cox put the ham in the oven?
ILL GIVE BRAINLIEST PLEASE HELP MEEE
An elephant weighs 1.1 × pounds. A giraffe weighs 2.1 × pounds. How much more does the elephant weigh than the giraffe? A. 1.0 × pounds B. 8.9 × pounds C. 1.0 × pounds D. 8.9 × pounds
Answer:
8.9 x 10^3
:D
Step-by-step explanation:
A battery is 10% charged and is charging at a constant rate. The graph shows the battery’s charge over time. What is the slope of the line that represents the situation? Enter the slope as a fraction.
Answer:
The slope of the line is 3/4
Step-by-step explanation:
There is a difference of 3 in the y coordinate and 4 for the x coordinate from each exact point.
evaluate the expression. 1/2 - 4 (1/2 + 1)^2
A.-9
B. 9/4
C. 17/2
D. -17/2
Answer:
D. -17/2
Step-by-step explanation:
1/2 - 4 (1/2 + 1)^2
First we evaluate what is inside the parentheses
1/2 - 4 (3/2) ^2
Now we square what is inside the parentheses
1/2 - 4(9/4)
Now multiply
1/2 -9
Get a common denominator 9 = 9 *2/2 = 18/2
1/2 - 18/2
-17/2
Use PEMDAS:
P Parentheses first
E Exponents (ie Powers and Square Roots, etc.)
MD Multiplication and Division (left-to-right)
AS Addition and Subtraction (left-to-right)
--------------------------------------------------------------------------------------
[tex]\dfrac{1}{2}-4\left(\dfrac{1}{2}+1\right)^2=\dfrac{1}{2}-4\left(1\dfrac{1}{2}\right)^2=\dfrac{1}{2}-4\left(\dfrac{1\cdot2+1}{2}\right)^2\\\\=\dfrac{1}{2}-4\left(\dfrac{3}{2}\right)^2=\dfrac{1}{2}-4\cdot\dfrac{3^2}{2^2}=\dfrac{1}{2}-4\cdot\dfrac{9}{4}=\dfrac{1}{2}-1\cdot\dfrac{9}{1}\\\\=\dfrac{1}{2}-9=\boxed{-8\dfrac{1}{2}=-\dfrac{8\cdot2+1}{2}=\boxed{-\dfrac{17}{2}}}\to\boxed{D.}[/tex]
what is the simplified form of the expression (-2x³ z⁴) ³
Answer:
-16x^9z^12
Step-by-step explanation:
you . multiply the exponents with the three in this type of equation.
choose as many that apply:
A progression is: any list of numbers, an arrangement of quantities whose positions are based upon the natural numbers, a summation of quantities based upon a sequence, new discoveries in mathematics.
Answer:
a progression is a summation of quantities based upon a sequence.
Step-by-step explanation:
example of a progression
1,4,7,10,13,16,.........
a1=1
a2=4
a3=7
difference =d=a2-aq=4-1=3
similarly
d=a3-a2=7-4=3
we can clearly see that there is a difference of 3 between two consecutive terms of a progression
on the other hand successive terms of a progression can be obtained by adding a unique value in backward term to get successive term.
hence a progression is a summation of quantities based upon a sequence
Answer:
A summation of quantities based upon a sequence, and an arrangement of quantities whose positions are based upon the natural numbers
Step-by-step explanation:
It cannot be "Any list of numbers" because a progression only contains natural numbers, meaning no decimals or fractions. It is also not a new discovery in mathematics.
The tank on Mr. Ramiras’ car holds 15 gallons of gasoline. If he gets 28.5 miles per gallon, how far can he travel on a full tank of gas?
Answer:
distance = 427.5 miles
Step-by-step explanation:
We can determine the distance by multiplying the miles per gallon by the number of gallons.
distance = mpg * gallons
distance = 28.5 mpg * 15 gallons
distance = 427.5 miles
Answer:
427.5 miles of gas
Step-by-step explanation:
This problem will require using multiplication to determine the distance in total.
We can multiply amount of gas car can hold times the miles per gallon to find the total distance.
Create an equation.
amount of gas car can hold * miles per gallon = distance
Solve by inputting numbers.
15 * 28.5 = 427.5
What is the justification for each step in the solution of the equation?
Given
Step 1: They multiplied 3 on both sides of the equation to get rid of the denominator (you can do this because the denominators were the same number, which was 3)
Step 2: They distributed 6 into (x + 2)
Step 3: They added 1 on both sides
Step 4: They subtracted 6x on both sides to get "x" on one side of the equation
Step 5: They divided -4 on both sides to get "x" by itself
Which television as more viewing area: the 42 inch 16:9 television or the 32 inch 4:3?
Answer: 42 inch 16:9 television
Step-by-step explanation:
The dimensions of 42 inch 16:9 television are:
Width of the television = 36.6 inches
Height of the television = 20.6 inches
Screen Area of the television = 36.6 x 20.6 = 753.96 sq inches
The dimensions of 32 inch 4:3 television are:
Width of the television = 25.6 nches
Height of the television = 19.2 inches
Screen Area of the television = 25.6 x 19.2 = 491.52 sq inches
Thus 42 inches 16:9 television has 262.44 square inches more screen area.
Hope it helps.
Thanks you :)
[tex]\text{Look at the picture.}[/tex]
[tex]x, y - some\ units\ of\ leng th[/tex]
[tex]\text{Use the Pythagorean theorem:}[/tex]
[tex](16x)^2+(9x)^2=42^2\\\\256x^2+81x^2=1764\\\\337x^2=1764\qquad\text{divide both sides by 337}\\\\x^2=\dfrac{1764}{337}\to x=\sqrt{\dfrac{1764}{337}}[/tex]
[tex]\text{The area:}\\\\A_1=16\sqrt{\dfrac{1764}{337}}\cdot9\sqrt{\dfrac{1764}{337}}=(16)(9)\left(\sqrt{\dfrac{1764}{337}}\right)^2\\\\=144\cdot\dfrac{1764}{337}\approx754\ in^2[/tex]
[tex](4x)^2+(3x)^2=32^2\\\\16x^2+9x^2=1024\\\\25x^2=1024\qquad\text{divide both sides by 25}\\\\x^2=40.96\to x=\sqrt{40.96}\to x=6.4\ in\\\\\text{The area:}\\\\A_2=4(6.4)\cdot3(6.4)=25.6\cdot19.2=491.52\ in^2[/tex]
[tex]754 > 491.52[/tex]
[tex]\text{Answer: 42 in 16 : 9.}[/tex]Write an explicit formula for the recursive formula shown below: A(n)=A(n-1)+3; A(1)=6
Answer:
[tex]a_n=A(n)=3n+3.[/tex]
Step-by-step explanation:
You are given recursive formula [tex]A(n)=A(n-1)+3,[/tex] where [tex]A(1)=6.[/tex]
Find some terms of the sequence:
[tex]a_1=A(1)=6,\\ \\a_2=A(2)=A(1)+3=6+3=9,\\ \\a_3=A(3)=A(2)+3=9+3=12,\\ \\a_4=A(4)=A(3)+3=12+3=15,...[/tex]
You van see that these terms form the arithmetic sequence with first term [tex]a_1=6[/tex] and difference [tex]d=3.[/tex]
An explicit formula for n-th term of arithmetic sequence is
[tex]a_n=a_1+(n-1)d.[/tex]
In your case,
[tex]a_n=6+(n-1)\cdot 3,\\ \\a_n=6+3n-3,\\ \\a_n=3n+3.[/tex]