The fifth term of the sequence is -15
Recursive functionsGiven the following recursive functions
[tex]a_1=13\\a^n=a^{n-1}- 7 .[/tex]
For the second term:
a2 = a1 - 7
a2 = 13 - 7
a2 = 6
For the third term:
a3 = a2 - 7
a3 = 6 - 7
a3 = -1
For the fourth term:
a4 = a3 - 7
a4 = -1 - 7
a4 = -8
For the fifth term:
a5 = a4 - 7
a5 = -8 - 7
a5 = -15
Hence the fifth term of the sequence is -15
Learn more on recursive function here: https://brainly.com/question/489759
(b) If the sum of two consecutive odd numbers is 48, find the numbers.
Answer:
23, 25
Step-by-step explanation:
let the first number be represented as A, since there are two odd numbers, the second number would be A + 2
A + A+2 = 48
2A + 2 = 48
2A = 48 - 2
2A = 46 ( divide both sides by 2)
A = 23
since we know the next number to be A + 2
= 23 + 2 = 25
the two numbers are 23 and 25
If mWP= 56° and mKA= 162°, find m E.
Answer:
m<E = 1/2 ( WP - KA )
m<E = 1/2 ( 162 -56 )
m<E = 1/2 (106)
m<E = 53
I'll GIve Brainliest, please
Variables y and x have a proportional relationship, where y = 20 when x = 4.
What is the value of x when y = 80?
Answer: x = 16
Step-by-step explanation: 20/4 = 5 and 80/5 = 16 so x = 16.
Answer:
16
Step-by-step explanation:
20 /4 = 5
80/5 = 16
16x5=80
find the value of x in the triangle shown below 1 4 x
Answer:
x = √17
Step-by-step explanation:
x² = 4² + 1²
x² = 17
x = √17
x² = y² + z²
x² = 4² + 1²
x² = 16 + 1
x² = 17
x = √17✅
Which expression shows that this problem is correct?
289 ÷4=72 R1
A. 72+(4+1) =289
B. (72x4)+1=289
C. 72x(4x1)289
D. 72+(4x1)=289
I NEED HELP ASAP 50 POINTS
Answer:
The answer is CIt is because 72 ×(4×1)289Answer:
B
Step-by-step explanation:
72*4=288
288+1=289
Yiu have to use BODMAS first before you can solve
Here are the first five terms of a number sequence.
10
25
15
5
20
(a) (i) Write down the next two terms of this sequence.
Answer:
35 25
Step-by-step explanation:
you have to look at the serguecia and you find the answer
Four different sets of objects contain 2,5, 6, and 7 objects, respectively. How
many unique combinations can be formed by picking one object from each
set?
Answer:
420 unique combinations
Step-by-step explanation:
Simply multiply:
2 * 5 * 6
There are 2 choices for the first set, and 5 choices for the second set. Each of the 2 choices from the first set can be combined with each of the 5 choices from the second set. So, there are 2 times 5 combinations from the first and second sets.
A person is 1.75 m tall to the nearest centimetre
Answer:
Recall, that 100cm make 1m
therefore, xcm make 1.75m
x= 1.75×100
x= 175cm
A car travels along the highway to Austin at a steady speed. When it begins, it
is 500 miles from Austin. After 5 hours, it is 200 miles from Austin. Which
function describes the car's distance from Austin?
A. y = 60x-500
B. y=-60x+ 500
O c. y=-40x + 500
D. y = 60x + 200
Answer:
A
Step-by-step explanation:
x is hour. {from the question}
k = [tex]\frac{-500+200}{5}[/tex]
[tex]=\frac{-300}{5}[/tex]
[tex]=-60[/tex]
So [tex]y=-60x+500[/tex] choose A.
I hope this helps you
:)
The function that describes the car's distance from Austin is
y = -60x + 500.
What is a function?A function is a relationship between a number of inputs and outputs. A function is an association of inputs where each input is coupled with exactly one output. There is a range, codomain, and domain for every function.
Let x be the time period in hour.
And y is the distance from Austin.
We substitute the value of x =5 to the functions and see if it gives the output 200.
In A:
y = 60x -500
y = 60(5) - 500
y = -200
Distance is not negative. So, this is not a required function.
In B:
y = -60x +500
y = 200 miles.
This is a required function.
In C:
y = -40x + 500
y = -200 + 500
y = 300 miles.
This is not a required function.
In D:
y = 60x + 200
y = 300 + 200
y = 500 miles.
This is not a required function.
Therefore, y = -60x +500 is a required function.
To learn more about the function;
brainly.com/question/28303908
#SPJ2
On plain paper, copy and complete the enlargement of triangle ABC with a scale factor of 1/2 and center of enlargement
I need help please :)
Answer:
Step-by-step explanation:
Just subtract all the numbers from 38.75
The graph solves this system of equations. What is the solution to the system? Use the drop-down menus to explain your answer.
4x + 6y = 8
y = −23x + 13
Answer:
No solution, parallel
Step-by-step explanation:
The lines are parallel since they do not touch> Also, parallel lines do not have a solution to their systems of equation.
UH HELP PRETTY PLEASE I NEED HELP!!!!!!!!!!! ME MARK CROWN
Answer:
D) q(x) = x² - 18 and w(x) = x²Step-by-step explanation:
Let the function w(x) is:
w(x) = x²The vertex of w(x) is (0, 0), the vertex of q(x) is 18 units below, so it is (0, - 18) and its equation is:
q(x) = w(x) - 18 = x² - 18Correct choice is D
pls helpnnmm what to do
Answer:
see you
hope you will like it
Answer:
Step-by-step explanation:
[tex]CP=\dfrac{SP*100}{100+profit}\\\\\\ =\dfrac{500*100}{115}\\\\\\= \dfrac{100*100}{23}=\dfrac{10000}{23}\\\\= 434.78[/tex]
CP = ₹ 434.78
A scientist uses a submarine to study ocean life.
She begins at sea level, which is an elevation of 0 feet.
She descends for 94 seconds at a speed of 3.3 feet per second.
She then ascends for 32 seconds at a speed of 1 feet per second.
At this point, what is her elevation, in feet?
Answer:
[tex]278.2 \: ft[/tex]
Step-by-step explanation:
Descended feet:
[tex]94 \: s \times 3.3 \: \frac{ft}{s} \: = 310.2 \: ft [/tex]
Ascended feet:
[tex]32 \: s \times 1 \: \frac{ft}{s} = 32 \: ft[/tex]
Total elevation:
[tex](310.2 - 32) \: ft = 278.2 \: ft[/tex]
Jacob is designing a new board game, and is trying to figure out all the possible
outcomes. How many different possible outcomes are there if he flips a coin and
spins a spinner with three equal-sized sections labeled Walk, Run, Stop?
Using the Fundamental Counting Theorem, it is found that 6 different possible outcomes are there.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this problem:
For the coin, there are two outcomes, hence [tex]n_1 = 2[/tex].For the spinner, there are three outcomes, hence [tex]n_2 = 3[/tex].Then, the number of outcomes is given by:
N = 2 x 3 = 6.
More can be learned about the Fundamental Counting Theorem at https://brainly.com/question/24314866
Kimberly questioned 7 violinists in the national orchestra.
Is this sample of violinists in general likely to be biased?
yes
no
Answer:
No i think im not quite sure tho hope this helps :>
Step-by-stepStep-by-stepStep-by-step explanation:
a computer is priced 500 but is on sale for 30% off. what is the sale price of the computer
Answer:
the answer is 350
Step-by-step explanation:
500$-30%350$
A flower bed is in the shape of a trapezoid.
A trapezoid with base lengths of 6 feet and 8 feet, and height 4 feet.
What is the square footage of the flower bed?
28 ft2
56 ft2
96 ft2
192 ft2
Answer:
28 ft2
Step-by-step explanation:
You add the bases then you multiply by the height. After that you divide by 2 to get your answer. Hope this helps!!
Answer:
28 ft²
Step-by-step explanation:
Area of a trapezoid:
[tex]A=\dfrac12(a+b)h[/tex]
(where [tex]a[/tex] and [tex]b[/tex] are the bases and [tex]h[/tex] is the height)
Given:
[tex]a=6[/tex][tex]b=8[/tex][tex]h=4[/tex][tex]\implies A=\dfrac12(6+8)4[/tex]
[tex]\implies A=28 \ \textsf{ft}^2[/tex]
Dakota and her friends are celebrating Dakota's birthday at Adventure Zone, which has trampolines, mini golf, laser tag, and an arcade. Dakota's mom gives 18 arcade tokens to each kid at the party. In all, she gives out 144 tokens.
Use an equation to find the number of kids at Dakota's party.
Answer:
There were 8 kids at the party.
Step-by-step explanation:
144/18 = 8
8 X 18 = 144
There were 8 kids at the party.
Have a great day!
Please rate!
The school choir earned $5,012 selling tickets to their winter concerts. They sold 324 adult tickets for $10. 75 each. If student tickets cost $5. 50 each, how many student tickets did the school choir sell?
answer:
! 278 student tickets were sold
Please help me with this problem
Answer:
1.price(dollars) and soccer ball
2.y=30 and x=5
3. I think 5 or 30
Step-by-step explanation:
pa follow po
pa brainlest po
pa heart and 5 star
Complete this statement of the Quotient rule: v^k/v^h
A unicorn bought ten pieces of candy and paid $16. Large candies cost $4 each, medium-sized candies cost $2 a piece, and small candies come at $1 each. How many large candies did the unicorn buy?
There are three possible solutions:
6 medium-sized candies and 4 small candies. 1 large candy, 3 medium-sized candies and 6 small candies. 2 large candies and 8 small candies.How to find possible solution from a system of equations whose number of variables is greater than the number of equations
Let be [tex]x[/tex], [tex]y[/tex] and [tex]z[/tex] the quantities of large, medium-sized and small candies bought by the unicorn., which represent non-negative integers. After a quick reading, we build the following system of linear equations:
[tex]x + y + z = 10[/tex] (1)
[tex]4\cdot x +2\cdot y +z = 16[/tex] (2)
We notice that the number of variables is greater than the number of linear equations. Thus, the system have several solutions. By (1):
[tex]z = 10 - x - y[/tex]
(1) in (2):
[tex]4\cdot x + 2\cdot y + 10 - x - y = 16[/tex]
[tex]3\cdot x + y = 6[/tex] (3)
After some inspections, we find three possible solutions:
[tex]x = 0[/tex], [tex]y = 6[/tex], [tex]z = 4[/tex][tex]x = 1[/tex], [tex]y = 3[/tex], [tex]z = 6[/tex][tex]x = 2[/tex], [tex]y = 0[/tex], [tex]z = 8[/tex]There are three possible solutions:
6 medium-sized candies and 4 small candies. 1 large candy, 3 medium-sized candies and 6 small candies. 2 large candies and 8 small candies.To learn more on systems of linear equations, we kindly invite to check this verified question: https://brainly.com/question/20379472
One side of a triangle is 5.5 inches long. Another is 10.5 inches long.
Which of the following could be the length of the third side?
3 inches
5 inches
7 inches
10 inches
12 inches
20 inches
Answer:
12 inches
Step-by-step explanation:
Answer: 7 inches, 10 inches, 12 inches...
Step-by-step explanation:
I didn't have an explanation, but I imputted these answers and I got it correct. Hope this helped!
factor? 3x^2- 15x + 18
Hello!
Use the Big X method, since the leading coefficient is greater than 1
Now, let me clarify this a little.
First of all, we should multiply 3 times 18:
54
Now, think of 2 numbers that multiply to 54 and add to 15.
The numbers are 6 and 9.
Now, split the middle:
3x²-6x-9x+54
I hope it helps!
Good luck and enjoy your day!
-SnowFlake
Brady has a bag with 6 black pens, 6 blue pens, and 2 red pens. If he grabs a pen at random, what is the probability that the pen is not red?.
Answer: 6/7
Step-by-step explanation:
If the pen is not red, it must be either black or blue.
Therefore, the probablity is (6+6)/(6+6+2)
= 12/14
= 6/7
Corrie bought a new flat screen 70 inch television and a speaker system from a local electronics store on credit. The store will charge 18% per year compounded monthly. Their monthly payments are $204.80 for 4 years. What is the cash price of her purchase?
1. Identify the type of problem.
a. Future Value with compound interest.
b. Present Value with compound interest.
c. Present Value of an Annuity.
d. Future Value of an Annuity.
e. Future Value with simple interest.
2. Answer the question in the problem.
a. $4,881.09.
b. $5,262.72.
c. $9,261.57.
d. $7,247.31.
e. $6,971.91.
The cash price of her purchase would be $5262.79
How to find the compound interest?If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:
[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]
The Present value = C [1 - (1+i)^(-n)]/i
C = the amount of payment per period
i = interest rate
n=number of payments
In this problem we have;
C = $174.80
i = 12% per year compounded monthly
= 12/(12 x 100)
= 0.01
n = 3 x 12 = 36 months
Present Value = 174.80[1 - (1+0.01)^(-36)]/0.01
Cash price = $5262.79
Hence, the cash price of her purchase would be $5262.79
Learn more about compound interest here:
https://brainly.com/question/1329401
#SPJ2
Solve, using the substitution method.
m + n = 5
m – n = 3
There is no solution.
The solution is (2, –1)
The solution is (4, 1)
There are an infinite number of solutions.
Step-by-step explanation:
m-n = 3 becomes m=3+n
Substitute 3+n to m in m+n = 5
Therefore;
3+n+n = 5
3 + 2n = 5
2n = 2
n = 1
m - n = 3, n is 1
therefore;
m - 1 = 3
m = 4
Answer:
your answer will be (4,1)
Step-by-step explanation:
i took the quiz :)
have a great rest of your day/night :)
you deposit $1200 in a savings account that earns interest at a 5.4% rate per year. how much interest will you have earned after 3 years?
Answer:
A = P(1 + r/n)nt
A is the amount accumulated, P is the principle (initial) amount, r is the decimal rate, n is the number of times interest is compounded per year, and t is the number of years.
In this question, we are solving for A, P is $1200, r is 0.03, n is 1 (because interest is compounded once per year), and t is 3 years.
Thus:
A = $1200(1 + 0.03/1)1(3) = $1200(1.03)3 = $1311.27
and
Interest earned = 1311.27 - 1200 = $111.27
Answer:
Interest earned = 1311.27 - 1200 = $111.27
Step-by-step explanation:
so I’m pretty sure 111.27…please tell me if I’m right !!