Answer:6
Step-by-step explanation:
d=2r
Given the explicit expression f (n) = 5n - 2, write a set showing the sequence, and write a recursive expression.
Answer:
[tex]f(n) = 5 + f(n - 1)[/tex]
Step-by-step explanation:
Given
[tex]f(n) = 5n - 2[/tex]
Required
Write a recursive expression
[tex]f(n) = 5n - 2[/tex]
When n = 1
[tex]f(1) = 5 * 1 - 2 = 5 - 2 = 3[/tex]
[tex]f(1) = 3[/tex]
When n = 2
[tex]f(2) = 5 * 2 - 2 = 10 - 2 = 8[/tex]
[tex]f(2) = 8[/tex] can be rewritten as
[tex]f(2) = 5 + 3[/tex]
Substitute 3 for f(1)
[tex]f(2) = 5 + f(1)[/tex]
Express 1 as 2 - 1
[tex]f(2) = 5 + f(2-1)[/tex] ----- (1)
When n = 3
[tex]f(3) = 5 * 3 - 2 = 15 - 2 = 13[/tex]
[tex]f(3) = 13[/tex] can be rewritten as
[tex]f(3) = 5 + 8[/tex]
Substitute 8 for f(2)
[tex]f(3) = 5 + f(2)[/tex]
Express 2 as 3 - 1
[tex]f(3) = 5 + f(3 - 1)[/tex] ------ (2)
Write out (1) and (2)
[tex]f(2) = 5 + f(2-1)[/tex]
[tex]f(3) = 5 + f(3 - 1)[/tex]
Replace 2 and 3 with n in both cases; This gives
[tex]f(n) = 5 + f(n - 1)[/tex]
Hence;
The recursive is [tex]f(n) = 5 + f(n - 1)[/tex]
The length of a square garden is twice a number. If the perimeter of the garden is 36, find the number.
Answer:
x = 4.5
Step-by-step explanation:
l = 2x
p = 4l
note: 4l in this case because it is a square
plug in l into equation p
36 = 4(2x)
36 = 8x
divide by 8
x = 4.5
jamie's string is 10ft 1in long. emma's string is 6ft 4in long. how much longer is jamie's string
Answer:
Jamie's string is 3ft and 9in
Step-by-step explanation:
10ft 1in
-6ft 4in
=3ft 9in
Answer:
3ft 9 in
Step-by-step explanation:
So, in each foot there's 12 inches. Knowing that, the operation you use is subtraction. So you do 10 ft 1 in - 6 ft 4 in. If you do that operation knowing that 12 inches=1 foot, then you should get 3 ft 9 in.
Please let me know if there is still any confusion.
what is the measure of
Answer:
Your answer is going to be D
Step-by-step explanation:
Add 100° with 30° and subtract that sum from 180°.
Domain:
I need the domain
Answer:
Domain:The set of possible input values (using the “x” variable), which produce an output from a function.
Step-by-step explanation:
have a great day :)
Simplify the expression
4r-7r +8+ r
Answer:
-2r+8
Step-by-step explanation:
4r-7r+8+r
5r-7r+8
-2r+8
-2r+8
The first step is to combine like terms. These would be 4r, -7r, and r since they have the same variable. This gives you -2r. Since there are no other like terms to combine, you end up with -2r+8
Using this system of linear equations: show all of the steps to solve using substitution.
Answer:
(1,5)
Step-by-step explanation:
y=3x+2
x+2y = 11
Substitute the whole value of y to the second equation:
x+ 2 (3x +2)=11
Distribute 2
x+6x+4=11
Combine like terms:
7x=7
x=1
Plug in the x value to any equation:
y=3(1)+2
y=3+2
y=5
Diane owes $11901.00 to the bank after completing her college degree. With the funds from her new job she is paying back $153.00 per month. Her friend Teresa was given $4906.00 in the bank for college from her family, and she is spending $337.00 per month out of this college fund. If these were continuous functions, after how many months will Diane have the same bank balance than Teresa, rounded to the nearest tenth
Please help ik its kinda esay but is dificlut for me
Answer:
see explanation
Step-by-step explanation:
For a relation to be a function each value of x on the domain can only map to one unique value of y in the range.
For the given point, we can see that
x = 1 → y = 4 and x = 1 → y = 1
This breaks the function rule, thus the set is not a function
Explanation:
The list of first numbers of the ordered pairs is ...
1, 3, 1, 9, 0.
There is a repeated value, 1, so the relation cannot be a function. Each domain value can only appear once in a relation that is a function.
4d + 7e = 68 -4 - 6e = -72
Answer:
Step-by-step explanation:
4d + 7e = 68
-4d - 6e = -72
e = -4
4d + 7(-4) = 68
4d - 28 = 68
4d = 96
d = 24
(24, -4)
Elena drank 3 liters of water Yesterday. Jada drank 3/4 times as much water as Elena. Lin drank twice as much water as Jada.
Answer:
Jada drank 3/4 times as much water as Elena.
6 × 10E2 as a standard notation
Answer:
600
Step-by-step explanation:
6x10^2 = 600
Answer:
600
Step-by-step explanation:
[tex](8 + 4 + 3) + (6 + 5 + 11) = [/tex]
Answer:
= 37
Step-by-step explanation:
(8+4+3) + (6+5+11)
= 15 + 22
= 37
A fruit juice company includes 1.247 ounces of orange juice in a 6.85 ounce bottle of mixed fruit juice. How much of the bottle of mixed fruit juice is not orange juice
Answer:
5.603 ounces
Step-by-step explanation:
From the information given, you know the ounces of orange juice included in a bottle and the ounces of mixed fruit juice that the bottle has. So, to be able to determine how much of the bottle of mixed fruit juice is not orange juice, you have to subtract the ounces of orange juice in the bottle from the ounces of mixed fruit juice that it has:
6.85-1.247=5.603
According to this, the answer is that the bottle of mixed fruit juice has 5.603 ounces that are not of orange juice.
-
A local pizzeria sells a small pizza
with one topping for $6 and a small
pizza with three toppings for $8. What
is the charge for a plain small pizza
and the charge for each topping?
Find the product -1(-15) . Oh and also -1(-24) pls help
Answer:
15 and 24
Step-by-step explanation:
distribute the -1 to the -15 amd it will cancel out same for the other
I don’t understand this
A little help would be great Thank you!
Answer:
37.5 miles per hour
Step-by-step explanation:
To find the miles per hour, you divide the miles by hours. If you divide 225/6, you get 37.5. You can double check this by dividing another set, like 450/12 and see that you still get 37.5. Hope this helps! :)
help me plz if u get it correct i will mark
Answer:
i wish i could
Step-by-step explanation:
Answer:
32+(6w)
Step-by-step explanation:
add 32 that he already recorded plus 6 times w for however many more weeks he records for
is something with/without a decimal greater?
Answer:
without
Step-by-step explanation:
Anything without a decimal is greater than something that does.
Answer:
without
Step-by-step explanation:
If it has no decimal, it is greater than a number with a decimal. The answer is without.
Angle A is 80, Angle C is 40 Figure out what measure the angle of B
Answer:
60
Step-by-step explanation:
The angle measures in a triangle always add up 180 degrees. 180-80-40=60
2. Simplify the following expression:
(10 – 7r - p2)+(-6r2 - 18 +5r)
Your answer
Answer:
-p^2-6r^2-2r-8
Step-by-step explanation:
When you simplify it you get that. Hope this helped :)
The solution to the given expression is -8 - 2r - p² - 6r² which is determined by performing the arithmetic operation.
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
The given expression is given in the question
(10 – 7r - p²) + (-6r² - 18 +5r)
Open the parentheses and rearrange the terms,
10 - 18 - 7r + 5r - p² - 6r²
Apply the arithmetic operation in the likewise terms,
-8 - 2r - p² - 6r²
Therefore, the solution to the given expression is -8 - 2r - p² - 6r²
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When they ask, for example "What is the value of √100?" are they asking what is the square root of 100?
Answer: I need help on this tooooooo
Step-by-step explanation:
Answer:
Yes. The term [tex]\sqrt{}[/tex] means "square root".
If there is a number beside the symbol, for example [tex]\sqrt[3]{}[/tex], this means to cube root. But if there is no number, it just simply means square root.
if DF = 15 and DE = 6, find EF if E is between D and F?
Answer:
EF=9
Step-by-step explanation:
DF=15
DE=6 EF=9
Write equation 6+x=15
subtract 6 on both sides
x=9 EF=9
Simplify : -9c - 15 + 7c + 10 + 2c
Answer:
-5
Step-by-step explanation:
-9c - 15 + 7c + 10 + 2c
-9c + 7c + 2c -15 + 10
-9c + 9c - 5
-5
Answer:
5
Step-by-step explanation:
-9c - 15 + 7c + 10 +2c
-9c + 9c + -15 + 10
5
Please help me ASAP
Answer:
Step-by-step explanation:
Base 5 uses 0, 1 , 2, 3, 4
When we add 2+ 1 = 3
When we add 4 +3 = 7 = 5 +2 . 5 will be carried as 1
4 + 3= 12
In subtraction, 32 - 4
From 2 we cannot subtract 4. So, borrow 5 from 3. So, 2+5 = 7.
7-4=3
32 -4 = 23
I have attached the sums
In the figure below, O is between M and P, and N is the midpoint of MO. IF NO=3 and MP = 10, find OP.
Answer:
OP = 4
Step-by-step explanation:
N is the midpoint of MO.
Since NO = 3, then MN = 3, and MO = 3 + 3 = 6
MO + OP = MP
6 + OP = 10
OP = 4
A line segment is also a line but the line with finite length and having fixed endpoints. The length of the line segment OP is 4 units.
What is a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.
Given the following details as:
O is between M and P.N is the midpoint of MO. NO=3 and MP = 10.Now, from the figure, We have,
Since O is between M and P and N is the midpoint between MO
MP = MN + NO + OP _____(1)
Now,
N is the midpoint of MO so,
MN = N0
N0 = 3 and MP = 10 ____(2)
MN = NO = 3 _______(3)
From (1)
MP = MN + NO + OP
Substituting (2) and (3) in (1)
10 = 3 + 3 + OP
10 = 6 + OP
Subtracting 6 on both sides
10 - 6 = 6 + OP - 6
4 = OP
OP = 4
Thus, OP = 4.
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Find the value of n-7 when n=17.
Answer:
10
Step-by-step explanation:
17-7=10
Answer:
10
Step-by-step explanation:
f(x) = n - 7
f(17) = 17 - 7
f(17) = 10
Geri spent Friday, Saturday, and Sunday selling a total of 24 magazine orders for her school fundraiser. The amounts she sold, respectively, on the three days were consecutive even integers. How many did she sell on each day?
Answer:
8
Step-by-step explanation:
So since there is 3 days and the total is 24 you divide and that will give you 8! Integers are a whole number btw (:
The midpoint of AB is M (5,1). If the coordinates of A are (3,6), what are the
coordinates of B answers
The midpoint of a line segment means a point that lies in the mid of the given line segment. The coordinates of point B are (7, -4).
What are the coordinates of the midpoint of the line segment AB?Midpoint, as the word suggests, means the point which lies in the middle of something. The midpoint of a line segment means a point that lies in the mid of the given line segment. Suppose we've two endpoints of a line segment:
A(p,q), and B(m,n)
Then let the midpoint be M(x,y) on that line segment. Then, its coordinates are:
[tex]x = \dfrac{p+m}{2}[/tex]
and
[tex]y = \dfrac{q+n}{2}[/tex]
Given that the midpoint of AB is M whose coordinates can be written as,
The x-coordinate of point B,
[tex]x_m = \dfrac{(x_A + x_B)}{2}[/tex]
[tex]5 = \dfrac{(3 + x_B)}{2}[/tex]
10 = 3 + x
x = 10 - 3
x = 7
The y-coordinate of point B,
[tex]y_m = \dfrac{(y_A + y_B)}{2}[/tex]
[tex]1 = \dfrac{(6 + y_B)}{2}[/tex]
2 = 6 + y
y = 2 - 6
y = -4
Hence, the coordinates of point B are (7, -4).
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