Answer:
y = 12
Step-by-step explanation:
Find the first five terms of the sequence given by a 1 = 2, a n = 3 a n -1 - 1.
Answer:
2, 5, 14, 41, 122
Step-by-step explanation:
Using the recursive rule with a₁ = 2
a₂ = 3a₁ - 1 = 3(2) - 1 = 6 - 1 = 5
a₃ = 3a₂ - 1 = 3(5) - 1 = 15 - 1 = 14
a₄ = 3a₃ - 1 = 3(14) - 1 = 42 - 1 = 41
a₅ = 3a₄ - 1 = 3(41) - 1 = 123 - 1 = 122
The first 5 terms are 2, 5, 14, 41, 122
Answer:
[tex]a_{1}\\\\[/tex] = 2
[tex]a_{2\\}\\\\[/tex] = 5
[tex]a_{3\\}\\\\[/tex] = 14
[tex]a_{4\\}\\\\[/tex] = 41
[tex]a_{5\\}\\\\[/tex] = 122
Step-by-step explanation:
If I've properly understood:
[tex]a_{1}\\\\[/tex] = 2
[tex]a_{n} = 3 a_{n-1}\\[/tex] - 1
so, the first 5 terms are:
[tex]a_{1}\\\\[/tex] = 2
[tex]a_{2\\}\\\\[/tex] = 3. 2 - 1 = 5
[tex]a_{3\\}\\\\[/tex] = 3. 5 - 1 = 14
[tex]a_{4\\}\\\\[/tex] = 3. 14 - 1 = 41
[tex]a_{5\\}\\\\[/tex] = 3. 41 - 1 = 122
Match the equivalent expressions 4(2x + 3) - 7x
how many solutions does the equation 2(9x-6)=18x+2 have??? Please help
Answer:
x=5.889
Step-by-step explanation:
2(9x6)=18x+2
108=18x+2
106=18x
x=106÷18
x=5.888888889
Consider the rates 4/5 miles in 8 minutes and 4 minutes to travel 2/5 mile
Answer:
960
Step-by-step explanation:
I'm not sure exactly what's the question, but here's what I found. Lets first put it in our own words.
Consider the speed 4/5 miles in 12 minutes to travel 2/8.
8 + 4 = 12, so you can replace that with 12 minutes.
Now, you can absolutely guess your question.
Time = 12 minutes.
Distance = x (Let x be distance)
Speed = 4/5.
Now, you find distance.
Distance Formula: You can use the equivalent formula d = st which means distance equals rate times time.
So 4/5 × 12, is 9.6.
In fraction, if you have 1 numbers after the decimal point, multiply both numerator and denominator by 10. So 9.6 = (9.6 × 10) × 10 = 960.
Here is a pattern I found
2/5 divided by 4 is 1/10
4/5 divided by 8 is 1/10
If , we consider the given rates , we find that both rates are equivalent.
Two rates are given which are 4/5 miles in 8 minutes and 2/5 miles in 4 minutes.
We have to find out what they actually indicate.
What is the unitary method?
The unitary method is a method in which we find the value of a unit and then the value of the required number of units.
As per the question ;
Two rates are given which are ; 4/5 miles in 8 minutes and 2/5 miles in 4 minutes.
Let's find out what they are actually indicating.
So ;
If , distance travelled in 8 minutes = 4/5 miles
Then ;
In 1 minute , distance travelled will be ;
= [tex]\frac{4}{5*8}[/tex]
= [tex]\frac{4}{40}[/tex]
= 1 / 10 miles
and
If , distance travelled in 4 minutes = 2/5 miles
Then ;
In 1 minute , distance travelled will be ;
= [tex]\frac{2}{5*4}[/tex]
= [tex]\frac{2}{20}[/tex]
= 1 / 10 miles
So , we can conclude that both rates are equivalent.
Thus , if we , consider the given rates , we find that both rates are equivalent.
To learn more about unitary method click here ;
brainly.com/question/19423643
#SPJ2
what is exponential rate of change
Answer:
Exponential growth refers to an increase based on a constant multiplicative rate of change over equal increments of time,that is a percent increase of the original amount over time.
Eeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
The lowest point is 9 ft below see level and the highest point is 108 ft above sea level
Step-by-step explanation:
Here, we want to select the correct option
From the question, we have the following;
The lowest point is -9 while the highest point is +108
-9 indicates that it is 9 units below zero
+108 indicates that it is 108 units above zero
So, the correct option here is that;
The lowest point is 9 ft below see level and the highest point is 108 ft above sea level
Answer:
A. The lowest point is 9 feet below sea level and the highest point is 108 above sea level
Step-by-step explanation:
have a nice day
*show all work for full credit
1. 6x=25
Answer and Step-by-step explanation:
All we have to do is solve for x.
Divide both sides by 6.
x = [tex]\frac{25}{6}[/tex]
This is your answer.
If you want to have the decimal version, then it would be 4.166 repeating.
#teamtrees #WAP (Water And Plant) #SPEW (Society for the Promotion of Elfish Welfare)
If 10% of x is 20, what is 23% of x?
A.
33
B.
46
C.
200
D.
230
Answer:
46
Step-by-step explanation:
Answer:
46
Step-by-step explanation:
First get x
x= (20/10) * 100
x=200
23% of 200 = (23*200)/100 = 46
Which statement is true for the following graph:
4
3
O
3
-2
3
4
-51
F
The domain is all real numbers
G
The domain is all real numbers between -3 and 4
H
The range is all real numbers
J
The range is all real numbers between -3 and 4
9514 1404 393
Answer:
H the range is all real numbers
Step-by-step explanation:
The arrows on the ends of the curve mean the curve extends to infinity. Then the domain (x-extent) is -3 to infinity.
The range (y-extent) is -infinity to infinity, all real numbers.
The appropriate description is ...
H The range is all real numbers
PLEASE HELP ME!! THIS IS A MATH TEST!! PLEASE HELP!!
Person A buys 6 granola bars and 4 cups of yogurt for $10.50. Person B buys 4 granola bars and 8 cups of yogurt for $11. Find the cost of each item.
Granola Bar costs:
a cup of yogurt costs:
PLEASE AND THANK YOUUU!!!!!!
the granola bar costs $1.50
the yogurt costs 50 cents = $0.50
Given that triangle RST is isosceles, find the value of x.
Answer:
x = 10
Step-by-step explanation:
RST is an isosceles triangle.
[tex]m\angle T = m \angle R\\\\
8x\degree = (3x + 50)\degree \\\\
8x = 3x + 50\\\\
8x - 3x = 50\\\|
5x = 50\\\\
x = \frac{50}{5} \\ \\ x = 10[/tex]
Joe, Luis, Albert and Lupe want to share 3 oranges so that everyone gets an equal amount. How much orange will each child get? ~PLEASE ANSWER QUICK~
Answer:
Half an orange
Step-by-step explanation:
It would be half an orange because it says 4 other people. Joe, Luis, Albert, and Lupe. And it says 3 oranges so that everyone would get an equal amount. So if you think about it, theirs no other way to let everyone have an equal piece. So you would have to split them in half and through the left overs away that cant be shared.
please mark as brainly
Jo is a diabetic who uses three doses of insulin each day. Each dose is 0.06 ml. A bottle contains 1 cl of insulin. How many complete days will a bottle last her?
Answer:
55 complete days
Step-by-step explanation:
It is given that Jo is diabetic and she uses three doses of insulin in one day. One dose of insulin is 0.06 ml and one bottle has 1 cl of insulin.
We know, 1 cl = 10 ml
So the insulin bottle contains 10 ml of insulin.
1 dose = 0.06 ml
3 doses = 0.06 x 3
= 0.18 ml
So Jo takes 0.18 ml of insulin in one day.
Dividing 10 ml by 0.18 ml, we get
[tex]$=\frac{10}{0.18}$[/tex]
[tex]$=\frac{1000}{18}$[/tex]
= 55.55
So, the bottle will last for 55 complete days.
You go to Wal-Mart to buy some holiday candy. You decide to buy snickers because they have a special deal on snickers. A bag
of snickers costs $3.45, but if you buy 4 or more bags, they only cost $3.00 per bag.
Create a piecewise function to represent the cost of the bags of snickers.
6
SNICKERS
Let "n" be the number of bags of snickers
and "C(n)" be the cost of all bags of snickers purchased.
The piecewise function is
C(n) - {(first option)
{ (second option)
Answer:
The piecewise function is given as follows;
[tex]\begin{cases}C(n) = \$ 3.45 \times n & \text{ if } x< 4 \\ C(n) = \$ 3.00 \times n & \text{ if } x\geq 4 \end{cases}[/tex]
Step-by-step explanation:
The given parameters are;
The cost of each bag of snickers = $3.45
The cost of each bag of sneakers when buying 4 or more bags = $3.00
Let "n" be the number of bags of snickers and "C(n)" be the cost of all the snickers purchased
The piecewise function is C(n) = {($3.45 × n) for n < 3
{($3.00 × n) for n ≥ 4
Find the area of the irregular shape !!!
Step-by-step explanation:
Area of triangle = base × height ×½
triangle = 9×8×½=36cm²
rectangle = length×width
rectangle = 15×26=390cm²
area of irregular fig= 390+36 =426cm²
This is the last question from my questions before
Answer:
Just right the numbers they put
Answer:
see explanation
Step-by-step explanation:
Under a reflection in the line y = - x
a point (x, y ) → (- y, - x ) , thus
M(- 7, 1 ) → M'(- 1, 7 )
N(- 4, 1 ) → N'(- 1, 4 )
O(- 4, - 4 ) → O'(4, 4 )
P(- 7, - 4 ) → P'(4, 7 )
9x + 3y - 7x - 8y =
Answer:
2x-5y
Step-by-step explanation:
9x-7x= 2x
3y-8y= -5y
Answer:
....................
Step-by-step explanation:
b -2 = 9/b-2
Answer ?
Step-by-step explanation:
I don't know if it's correct
You have at most $28 to spend at a market. Apples cost $0.45 each, and pears cost $0.60 each. Let a be numbers of apples and p be numbers of pears. Write an inequality that represents the numbers of apples and pears you can afford
Answer:
$0.45a+$0.60p ≤$28
Step-by-step explanation:
Answer:
0.45a + 0.60p <= 28
Step-by-step explanation:
3.5 is less then greater than or equal to 1.5??
Answer:
More than sorry if im wrong
Step-by-step explanation:
The regular price is $8.45 more than the sale price. The regular price
is $24.95. What is the sale price? _____
Answer:
33.04
Step-by-step explanation:
just add lolz :P
Answer:
$33.40
Step-by-step explanation:
1 1 1
24.95
+ 8.45
__________
33.40
5+5 is 10 so bring a 1 to the top and put a 0 for the bottom
1+9+4 is 14 so put the 4 down and put the 1 on top.
1+4+8 is 13 so put the 3 down and put the 1 on top.
1+2 is 3 so put the 3 down
then you get 33.40
What is 12 1/2 x 4 2/3
Answer:
174 1/3
Step-by-step explanation:
Answer:
175
Step-by-step explanation:
because may i pls have brainlest
I need help plz! plz don't just do this for the points!
See image below!
Answer:
6 1/10
Step-by-step explanation:
You multiply the left fraction by 5 and the right by 2 so the denominators come out equally as 10 which makes your new fractions, 4 5/10 and 1 6/10 then add them together and it would be 5 11/10 and you break it down so it’s 6 with 1 left over making it 6 1/10
Tyler bought two tickets to a basketball game on the website Game Finder. Each ticket cost $65, and the website charged a convenience fee that was a small percent of the ticket cost.
If Tyler’s total bill came to $132.60, what percent was the convenience fee?
First you write down the formula. How do you get 132.60 in the first place? I included a pic, please try to understand it. As it'd be v useful in daily life too.
Answer:
the answer is 2%
Step-by-step explanation:
I got 2.0 but you round it so it would be 2% the other girl worked it out just right
equation with variables on both sides: decimals & fractions 4x + 8 = 7.2 + 5x
Answer:
4x + 8 = 7.2 + 5x
1. 4x - 4x + 8 = 7.2 + 5x - 4x
2. 8 = 7.2 + x
3. 8 - 7.2 = 7.2 - 7.2 + x
4. 0.8 = x
Step-by-step explanation:
Final Answer: [tex]x = 0.8[/tex]
Steps/Reasons/Explanation:
Question: Equation with variables on both sides: decimals & fractions [tex]4x + 8 = 7.2 + 5x[/tex].
Step 1: Subtract [tex]4x[/tex] from both sides.
[tex]8 = 7.2 + 5x - 4x[/tex]
Step 2: Simplify [tex]7.2 + 5x - 4x[/tex] to [tex]7.2 + x[/tex].
[tex]8 = 7.2 + x[/tex]
Step 3: Subtract [tex]7.2[/tex] from both sides.
[tex]8 - 7.2 = x[/tex]
Step 4: Simplify [tex]8 - 7.2[/tex] to [tex]0.8[/tex].
[tex]0.8 = x[/tex]
Step 5: Switch sides.
[tex]x = 0.8[/tex]
~I hope I helped you :)~
At a furniture store, the employees earn a 2.5% commission on every sale they make.
If Robert made $8,850 in sales one week, how much money in commission did he earn?
Francisca made $279 in commission that same week. How much money in sales did she make?
Step-by-step explanation:
Let x be the money made in sales. Let y be the money made in commissions.
First, convert 2.5% to a decimal.
2.5% = 0.025
Equation:
0.025x = y
Robert:
0.025(8850) = y
y = $221.25
Francisca:
0.025x = 279
x = 279/0.025
x = $11,160
Solve each equation mentally for x.
5/2 • x = 1
Your answer must be in the form of a fraction.
You need to get x by itself to solve
So to get rid of 5/2, you need to multiply both sides by the reciprocal or 2/5...
5/2*2/5 = 1 which we don't write and 1*2/5 = 2/5
So now you'd have x =2/5
The length of a dog on a scale drawing is 6 cm. If the scale is 1 cm : 7 cm, what is the actual length of the dog? (A) 15 cm (B) 30 cm (C) 42 cm (D) 108 cm
Answer: (C) 42 cm
Work Shown:
(length on paper)/(real length) = (length on paper)/(real length)
(1 cm)/(7 cm) = (6 cm)/(x cm)
1/7 = 6/x
1*x = 7*6
x = 42
The actual length of the dog is 42 cm.
What is 11% of 600?
80
45
60
66
Answer:
66 is the answer to your question
Answer:
66
Step-by-step explanation:
11 % = 0.11
600 × 0.11 = 66
BRAINLIEST TO RIGHT ANSWER! ASAP!
Answer:
y=-1/2x+1
Step-by-step explanation: