========================================================
Explanation:
The first term is 4 because of the notation [tex]a_1 = 4[/tex]
To get the second term, we'll use the recursive equation [tex]a_n = 5(a_{n-1})-1[/tex] which basically says [tex]\text{nth term} = 5*(\text{previous term})-1[/tex]. To get the second term, we'll multiply the first term by 5, then subtract off 1.
2nd term = 5*(1st term) - 1
2nd term = 5*4 - 1
2nd term = 19
This means [tex]a_2 = 19[/tex]
We repeat this process again to find the third term [tex]a_3[/tex]
[tex]a_n = 5*(a_{n-1})-1\\\\a_3 = 5*(a_{3-1})-1\\\\a_3 = 5*(a_{2})-1\\\\a_3 = 5*(19)-1\\\\a_3 = 95-1\\\\a_3 = \boldsymbol{94}\\\\[/tex]
The third term is 94
I WILL GIVE BRAINLIEST
Answer:
= -3x +3
Step-by-step explanation:
like terms (7x) -(4x)
or 7x + -4x = -3x
no like terms to condense 3
Suppose that the functions u and w are defined as follows.
u(x) =
=-x-1
w(x) = 2x² +1
Find the following.
Step-by-step explanation:
(a○b)(x) is the same as a(b(x)).
it is really that simple.
first you calculate the result of the inner function, and then that result is the input for the outer function.
that's it.
so,
(w○u)(2) = w(u(2))
u(2) = -2 -1 = -3
w(-3) = 2×(-3)² + 1 = 2×9 + 1 = 19
so, 19 is the first answer.
(u○w)(2) = u(w(2))
w(2) = 2×2² + 1 = 2×4 + 1 = 9
u(9) = -9 - 1 = -10
so, -10 is the second answer.
can someone help me solve this 11
[tex]\dfrac{\sin \alpha}{\cos \alpha + \sin \alpha} - \dfrac{\cos \alpha}{\cos \alpha - \sin \alpha}\\\\\\=\dfrac{\sin \alpha(\cos \alpha - \sin \alpha) - \cos \alpha(\cos \alpha + \sin \alpha)}{(\cos \alpha + \sin \alpha)(\cos \alpha -\sin \alpha)}\\\\\\=\dfrac{\sin \alpha \cos \alpha - \sin^2 \alpha - \cos^2 \alpha - \cos \alpha \sin \alpha}{\cos^2 \alpha - \sin^2 \alpha}\\\\\\=\dfrac{-(\sin^2 \alpha + \cos^2 \alpha)}{\cos 2 \alpha}\\\\\\=-\dfrac{1}{\cos 2 \alpha}\\[/tex]
[tex]=-\left(\dfrac{1}{\tfrac{1- \tan^2 \alpha}{1 + \tan^2 \alpha}} \right)~~~~~~~~~~~~~~~~~~; \left[\cos 2\theta = \dfrac{1 - \tan^2 \theta}{1+ \tan^2 \theta} \right]\\\\\\\ = -\left(\dfrac{1+ \tan^2 \alpha}{1- \tan^2 \alpha}\right)\\\\\\= \dfrac{1+\tan^2 \alpha}{\tan^2 \alpha -1}[/tex]
Someone please help me!
Answer:
$343.75
Step-by-step explanation:
$5.50 × 125 = $687.50 ÷ 2 = $343.75
Answer:
$343.75
Step-by-step explanation:
Multiply 5.50 by 125 hours to get the amount of money she has earned. Then since she saved half of it divide that amount which is $687.50 by 2 to get $343.75
State the domain and range of the relation:
{(1,3), (2, 4), (3,5), (-1,3), (-2, 4), (-3,5))
Answer: Domain is {-3, -2, -1, 1, 2, 3}. Range is {3, 4, 5}
Step-by-step explanation:
Domain in x values and therefore -3, -2, -1, 1, 2, 3. The range is y-values and you don't have to repeat same values making the range 3, 4, 5
[tex]3\frac{3}{4} +8\frac{3}{4}[/tex]
Is 11:17 the same as 17:11
Answer:
It is a ratio, which could mean yes and no, mattering which side of the ratio the number goes to.
Step-by-step explanation:
Answer:
yes because it is the same
topanga is a college student who does photography and videography to earn money. she spent $300 on her camera to start up her buisness on campus. table below shows the money she earned (f(x)). She will earn money by the hour. Will give branliest for answer, if you want
Answer:
400!
Step-by-step explanation:
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST
Is s = 7 a solution to the inequality below s < 2 yes
Answer:
No
Step-by-step explanation:
No, because s is less then 2. 7 is not less then 2.
‘Hope that helps! :)
Answer:
no
Step-by-step explanation:
s<2
s=7
7>2
PLS ANSWER IM BEGGING PLS
Answer:
x = 3
Step-by-step explanation:
This is an isosceles triangle. Two angles (D and F) are equal because the sides opposite them are equal (or vice versa).
Thus, side DE = side EF, or
12x - 8 = 4x + 16
Combining like terms: 8x = 24
Thus, x = 24/8 = 3
x = 3
There are 150 fish in total. The ratio of goldfish to betta fish is 2:3. How many goldfish are there?
(Please help me I’m nearly crying cause I can’t answer this question. )
Answer:
60 goldfish
because there is a ratio of 2 gold fish to 3 Betta fish you can cross multiply with 2/5 and x/150 to find the number of goldfish. you can also check the answer because 60 goldfish would leave 90 Betta fish. the ratio of 60:90 can be simplified to a ratio of 2:3
A bike that weighs 22 pounds and 3 ounces weighs a total of ____ounces.
Answer:
355 ounces
Step-by-step explanation:
Okay! We're going to have to use some conversion factors for this problem, since we're working with two different units (pounds and ounces). We know that there are 16 ounces in a pound - that's our first conversion factor. We can use it to write up a little equation to help us:
[tex]\frac{22lbs}{1} *\frac{16oz}{1lb} + 3 = x[/tex]
"x" is the total amount of ounces. Does everything in that equation make sense? The first multiplication part tells us how many ounces are in 22 pounds, and the second part (+ 3) adds the 3 ounces that were there from the beginning. Now, it's time to calculate.
[tex]\frac{22bs}{1} *\frac{16oz}{1lb} + 3 = x\\[/tex]
[tex]\frac{352oz}{1} + 3 = x[/tex]
[tex]352+3 = x[/tex]
[tex]x=355[/tex]
So, there are 355 ounces in a bike that weighs 22 pounds and 3 ounces. Hopefully that's helpful! :)
What annual rate of interest compounded annually is required to double an investment in 6 years?
Answer:
Approximately 12.25%
Step-by-step explanation:
The compound interest formula is:
Final balance = Principal * (1 + interest rate/number of times interest compounded per year)^(number of times interest compounded per year * years elapsed)
If we want our final balance to be twice our principal, our formula looks like:
[tex]2P = P * (1 + \frac{r}{1})^{1*6}[/tex]
We can divide our principal from both sides to get the following equation:
[tex]2 = (1 + \frac{r}{1})^{6}[/tex]
Since anything divided by 1 is itself, we can simplify a little further to:
[tex]2 = (1 + r)^{6}[/tex]
Now, we need to solve for r. We can start by taking the sixth root of both sides.
[tex]\sqrt[6]{2} = 1 + r[/tex]
Then subtract 1 from both sides:
[tex]\sqrt[6]{2} -1 = r[/tex]
Finally, we can use a calculator to get a decimal approximation:
0.1225 ≅ r
Choose the mixed number that has not been reduced to simplest form.
7 14/18
5 5/6
5 7/12
4 2/5
Hello there!
7 14/18 is the mixed number that has not been reduced to simplest form.
We can divide the numerator and denominator by 2 to reduce the fraction:
7 7/9
The answer is Option A. Hope this helps!
~Just a cheerful gal
#CarryOnLearning
[tex]SilentNature[/tex]
Pick two 20 points for this question please
, leisan can drive 32 miles on every gallon of gasoline. if she fills up her tank for $2.39 per gallon, how much will it cost her to drive 448 miles?
Answer:
It will cost her $33.46
Step-by-step explanation:
She drives 32miles per gallon
In 448miles, she will use: (448 × 1)/32
= 14gallons
If a gallon costs $2.39
Then 14gallons will cost, 14×2.39
= $33.46
A pancake recipe calls for one egg for every three cups of flour. How many cups of flour do you need for four eggs?
Answer:
its multiplication 4 times 3 the product is 12
Step-by-step explanation:
Five ballet tickets and 3 musical tickets cost $370.00. 3 musical tickets cost $120. All ballet tickets cost the same and all musical tickets cost the same. What is the ratio of the cost of a ballet ticket to the cost of a musical ticket in simplest form?
Answer:
$50
Step-by-step explanation:
$370 - $120 = $250 ( 5 ballet tickets )
$250 divided by 5 tickets is $50 per ticket
Ratio is 50:40 or 5:4 simplified
Help algebra 2 please
Answer:
i just need point im so sorry only in Geomotry
easy one - giving brainly if correct - show work.
teacher said it was wrong, anyone know the right answer? answer both!
Answer:
$9.68 per Hour, $11.72 per Hour.
Step-by-step explanation:
What you thought of..
10% of original pay wage = $0.80
Sofia's Pay Wage will be incremented by 10% of $8 every 6 Months.
Function:
Sofia's Pay Wage = e
Original Pay Wage = o
Increment = i
6 Months = t
e = o + ti
1 Year = 12 Months
$8 + ($0.80 x 2) = $9.60
In 1 Year, Sofia's Pay Wage will be $9.60 per Hour
$8 + ($0.80 x 4) = $11.20
In 2 Years, Sofia's Pay Wage will be $11.20 per Hour
What I Thought Of..
Sofia's Pay Wage will be incremented by 10% every 6 Months.
Function:
Sofia's Pay Wage = e
Original Pay Wage = o
Increment = i
6 Months = t
e = o + t(ei)
1 Year = 12 Months
($8 + {10% of Sofia's Pay Wage}) = $8.80
($8.80 + {10% of Sofia's Pay Wage}) = $9.68
In 1 Year, Sofia's Pay Wage will be $9.68 per Hour
($9.68 + {10% of Sofia's Pay Wage}) = $10.65
($10.65 + {10% of Sofia's Pay Wage}) = $11.72
In 2 Years, Sofia's Pay Wage will be $11.72 per Hour
Brainly? (I spent a while on this)
Mary wants to buy one large pizza, one medium pizza, and three drinks. The drinks cost $p$ dollars each, the medium pizza costs two times as much as one drink, and the large pizza costs three times as much as one drink. If Mary started with $30$ dollars, how much money would she have left after making all of her purchases? Give your answer as an expression of $p
$ (30-8p)
Step-by-step explanation:
3 DRINKS- 3P
MEDIUM- 2p
large- 3p
so plus 8 p
Ayushi wanted to paint a wall of a room of dimensions 6 m × 5 m. It has a window of dimensions 2 m × 0.5 m and a door of dimensions 3 m × 1.5 m. What area of the wall is required to be painted by Ayushi?
Can you guys plz answer this???
Answer:
Required wall to be painted: 24.5 m²Step-by-step explanation:
Wall dimensions: 6 m x 5 m
=> Wall dimensions: 30 m²
Area of window: 0.5 x 2
=> Area of window: 1 m²
Area of door: 3 m × 1.5 m
=> 4.5 m²
Required wall to be painted: 30 - 1 - 4.5
=> Required wall to be painted: 24.5 m²
Therefore, the required paint for the wall to be fully painted is 24.5 m². Hoped this helped.
PLZZZ I need help on this. I have to answer it in less than 10 minutes. I have short term memory loss and forgot everything I learned on this subject
Answer:the question is not there
Step-by-step explanation:
Find the least common multiple of each set of numbers . 4, 10
4, 8, 12, 20
10, 20
The least common multiple of 4 and 10
I hoped this helped. :)
STRUCTURE Gustavo sets up tables for a caterer on weekends. Each round table can seat 8 people. Each rectangular table can seat 10 people. One weekend, his boss asked him to set up tables for 124 people. He uses 2 more round tables than rectangular tables. Write a system of equations to find the number of round tables and rectangular tables Gustavo used. Then graph the system on a separate sheet of paper to solve the system.
Gustavo used 8 round tables and 6 rectangular tables.
Since Gustavo sets up tables for a caterer on weekends, and each round table can seat 8 people while each rectangular table can seat 10 people, and one weekend, his boss asked him to set up tables for 124 people, and he uses 2 more round tables than rectangular tables, to find the number of round tables and rectangular tables Gustavo used the following calculation must be performed:
10 x 8 + 8 x 10 = 160 8 x 8 + 6 x 10 = 124
Therefore, Gustavo used 8 round tables and 6 rectangular tables.
Learn more in https://brainly.com/question/25443927
What is 3/4 multiplied by 3
plz help will mark as brainliest
Answer:
18⁰
Step-by-step explanation:
As AOB is a line so it's is 180 ⁰
Hence,
5y+3y+2y=180⁰
10y=180⁰
y=180⁰/10
y=18⁰
Riley is saving up to buy a new television. She needs a total of $1,161.59. Riley has saved $200.39 already and earns $80.10 per week at her job. How many weeks does Riley need to work to save enough money to buy the new television?
Answer:
12 weeks
Step-by-step explanation:
I will use x to describe the amount of weeks.
200.39 (amount already have) + 80.10x (amount per week) = 1161.59 (total amount needed)
Now, just solve for x.
80.10x = 961.2
x = 12
Calibri
11 -
BI USA
f* Average Annual Weather Statistics
B
с
Average Annual Weather Statistics
D
E
F
G
H
J
K
L
M
N
1
2
3
Atlanta
1050
Average
1616.833333
4
5
89
Boston Dallas Orlando Phoenix SanteFe Total
20 430 91 1110 7000
69 96 82 86 70
44 37 62 59 43
42.53 21.32 47.7 7.3 14
41
6
0
0 32
Altitude
High Temp
Low Temp
Rain (in.)
Snow (in.)
6
7
33.5
50.19
0
8
9
10
11
12
13
14
15
16
17
Alt. Diff. ->
Atlanta & Dallas
Alt. Diff. Answer Here ->
18
19
20
21
Answer: were you born yesterday
Step-by-step explanation: