The value of a₄ is -9
What is recursively defined sequence?Recursively defined sequence is the sequence where every term is calculated by the use of the one or more previous term given.
In this given problem
a₁ = 5
given relation between term is [tex]a_{n+1}[/tex] = 2aₙ -7
using this relation
take n=1
a₂ = 2a₁-7 =(2*5)-7=3
then by taking n=2
a₃ = 2a₂-7 =(2*3)-7=-1
then taking n=3
a₄= 2a₃-7 =(2*(-1))-7= -9
so the final answer will be a₄ = -9
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Monique goes out for coffee once per week. She has already spent $40.86 this year on her coffees and each one is $4.54. There are 27 weeks left in this school year for Monique. If she continues getting coffee at this rate how much money will she have spent on coffee by the end of the year?
$ [tex]$163.44[/tex] money will she have spent on coffee by the end of the year.
What is PEDMAS rule?PEDMAS rule states that the order of operation starts with the parentheses first or the calculation which is enclosed in brackets. Then the operation is performed on exponents(degree or square roots) and later we do operations on division & multiplication and at last addition and subtraction.
According to the question
Monique goes out for coffee once per week.
She has already spent $40.86 this year on her coffees and each one is $4.54.
There are 27 weeks left in this school year for Monique.
If she continues getting coffee at this rate, money will she have spent on coffee by the end of the year:
Based on the given conditions
[tex]40.86 + 27 \times 4.54[/tex]
By using PEDMAS rule, first we have to multiply 27 and 4.54
= [tex]40.86 + 122.58[/tex]
By using PEDMAS rule, first we have to add 40.86 and 122.58
= [tex]163.44[/tex]
Thus, $163.44 money will she have spent on coffee by the end of the year.
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Evaluate.
9+6²÷3=?
brainliest
Answer:
21
Step-by-step explanation:
9 + 6^2 / 3
Follow PEMDAS:
9 + 36 / 3
9 + 12
21
Hope this helps, good luck! :)
A scale drawing of Elizabeth's rectangular room is 4 inches by 7 inches. The scale is 1 inch = 3 feet. What is the area, in square feet, of Elizabeth's room?
Answer:
84 feet
Step-by-step explanation:
4 inches× 7 inches=28inches
28 inches×3feet=84feet
Evaluate 5(x-1)-2when x=3
Answer:
3
Step-by-step explanation:
5(x-1)-2
5(2-1)-2
5×1-2
5-2
3
Hope this helps you :)
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Pls help. What is the appropriate congruent for these triangles
Answer:
C. HL
Step-by-step explanation:
The diagram given shows that the hypotenuse length and the length of a leg of one right triangle is congruent to the hypotenuse and corresponding leg length of the other. Based on Hypotenus-Leg criterion, the two right triangles is proved to be congruent because it meets the criterion of HL.
Given that A , B and C are the vertices of a triangle and that ∠ C B A = 80 ∘ and ∠ A C B = 35 ∘ , label the triangle with the correct vertices, A , B , or C . Select the correct answer from the options below.
Answer:
Step-by-step explanation:
If we have a ratio of 5:1 boys to girls in the class and there are only 5 girls in the class, How many boys are there in the class?
Answer:
25
Step-by-step explanation:
5x5=25
Hope this helps! :)
Answer:
25 boys
Explanation:
Because if there are 5 girls in the class then that means that you have to multiply the ratio of 5:1 by 5, which equals 25:5, meaning there’s 25 boys in the class.
What is the relationship between the values tand s plotted on the number line
below?
S
A. t= s
B. t>s
O c. tcs
Answer:
The answer should be t > s. (B) is the answer.
Can someone help and explain how to do these problems please
Step-by-step explanation:
1st one right angle
Right angle is of 90°
and 70° is given so subtract them
90-70=30 so y is 30°
2nd one
35° given and
[tex] \frac{35}{7} = 5[/tex]
so 7x5=35
t=5
Put in in order from least to Greatest 3,-18,5,4,-2,6
A)-2,3,4,5,6-18
B)-2,18,3,4,5,6
C)-18,-2,3,4,5,6
D)3,4,5,6-2,-18
Answer:
A.
Step-by-step explanation:
-2,3,4,5,6-18 from least to greatest
Find the area of the figure below
Answer:
521
Step-by-step explanation:
1. Explain how to find the area of a complex figure. Draw an example to help illustrate
your understanding. Please help!
Answer:
Refer to the attached file
Hope it helps..
The manager of a football team says the probability that the team will win the next match is 0.6 and the probability it will lose is is 0.1 Find the probability that the team will: a) not win b) not lose c) not draw
Answer:
A. 0.4
B.0.9
C.0.7
Step-by-step explanation:
Answers:
a) 0.4b) 0.9c) 0.7===========================================
Explanation:
Part (a)
P(winning) = 0.6 is given
The probability of not winning is 1 - P(winning) = 1 - 0.6 = 0.4
----------------
Part (b)
P(losing) = 0.1 is given
The probability of not losing is 1 - P(losing) = 1 - 0.1 = 0.9
-----------------
Part (c)
The probability of winning is 0.6 and the probability of losing is 0.1
This adds to 0.6+0.1 = 0.7, which must mean 0.3 is the probability of drawing (since 0.7+0.3 = 1)
So the probability of not drawing is 1 - P(draw) = 1 - 0.3 = 0.7, which is exactly the sum of the probabilities of winning and losing.
Expand and simplify (3x+4)(2x+3)
Answer:
72 you just need to keep multiplying
Step-by-step explanation:
3x4. 2x3
12 x 6
72
It wants me to use division, but sadly I am not getting the answers I want with it. Please help!
Answer:
a. 70 gallons of water were leaked each month.
Step-by-step explanation:
Set up an equation:
Variable x = gallons leaked each month
210/3 = x/1
Cross multiply:
210 × 1 = 3 × x
210 = 3x
Divide by 3 to isolate the variable:
70 = x
The division part is only 210 ÷ 3 = x. I wrote it down this way so you can see how I came to this equation.
Check your work:
210/3 = 70/1
210 × 1 = 3 × 70
210 = 210
Correct!
Find the area of a circle with radius 2cm, leave your answer in terms of pi
Answer:
[tex]Area = 4 \pi \ cm^2[/tex]
Step-by-step explanation:
[tex]Area = \pi r^2 = \pi \times 2^2 = 4 \pi \ cm^2[/tex]
Answer:
A = 4 cm squaree
this us because u multiply π r and square it. sorry if it's confusing
Show that √2 is an irrational numbe.
Answer:
[tex] \sqrt{2} =1.41421356237...[/tex]
Answer:
The proof that √2 is indeed irrational is usually found in college level math texts, but it isn't that difficult to follow. It does not rely on computers at all, but instead is a "proof by contradiction": if √2 WERE a rational number, we'd get a contradiction.
...
A proof that the square root of 2 is irrational.
2 = (2k)2/b2
b2 = 2k2
What is the solution to the system of equations ?
Y=2/3 x + 3
X= -2
Answer:
5/3
Step-by-step explanation:
Answer:
x = -2, y = 5/3
Step-by-step explanation:
y = [tex]\frac{2}{3} x+3[/tex] x = -2
[tex]y=\frac{2}{3} (-2)+3[/tex]
[tex]-\frac{4}{3}[/tex] + 3 =
[tex]-1\frac{1}{3}[/tex] + 3 = [tex]\frac{5}{3}[/tex]
Find the measure of the arc or angle indicated.
5)
R
1290
?
S
450
A) 93°
D) 48°
C) 96°
B) 1320
E) 1140
1. Maggie currently has a balance of $-15 in her bank account, she deposits $11
into her account. How much money does Maggie have in her account? *
-15+11=-4 so Maggie has -4 in her account
What is the length of the side x?
Answer and Step-by-step explanation:
Solve for the middle side, then for x using Pythagorean Theorem.
[tex]A^2 + B^2 = C^2\\\\\\6^2 + 8^2 = C^2\\\\100 = C^2\\\\C = 10\\\\\\\\A^2 + 10^2 = 12^2\\\\A^2 + 100 = 144\\\\A^2 = 44\\\\A^2 = 2\sqrt{11} <-Answer[/tex]
#teamtrees #PAW (Plant And Water)
what is 0.06 divided by 8 working out
Answer:
0.0075
Step-by-step explanation:
0. 0 0 7 5
_______________________
8 ÷ 0. 0 6 0 0
− 0
_______________________
0 0
− 0
_______________________
0 6
− 0
_______________________
6 0
− 5 6
_______________________
4 0
− 4 0
_______________________
0
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Please help I’ll give brainliest
Answer: $108199
Step-by-step explanation:
Step 1) Find the deposit cost
35/100 × 89540 = 31339
Step 2) Find the total cost of the monthly payments
2135 × 36 = 76860
Step 3) Find the final cost
31339 + 76860 = $108199
16p⁷q⁸÷2p⁴q⁵
whats the answer?
Answer:
[tex]8 {p}^{3} {q}^{3} [/tex]
Step-by-step explanation:
Hope it is helpful....
What is the equation of the line
The value of log₃⁵ x log₂₅⁹ is...
Answer:
i dont know this answer but the answer will be 2log3 ok cheak it clearly wheather it is right or wrong
There is a special offer at the book shop.
Ryan chooses 4 books that cost
£4.00
£3.80
£3.00
and £1.20
Special
offer
4 for the
price of 3.
Buy any 4 books and get
the cheapest one completely free!
What fraction of the normal total price does he save?
Choose the correct calculation.
£4.00 + £3.80 + £3.00 + £1.20
£1.20
£1.20
£4.00 + £3.80 + £3.00 + £1.20
£1.20
£4.00 + £3.80 + £3.00
x (£4.00 + £3.80 + £3.00 + £1.20)
price of 3Step-by-step explanation:
6.) Find the square root(s)
Answer:
the square root is 0.08/8
Which could be the graph of f(x) = |x -h| + k if h and k are both positive?
Step-by-step explanation:
The graph of the function y=|x| is as shown in the attached diagram. The only possible translation of this graph right and up is option A. (In option B graph is translated right and down, in option C- left and up and in option D - left and down). Answer: correct choice is A.
Answer:
A
Step-by-step explanation:
Just did it
There are 271 songs on Amy's computer. She
wants to make playlists that have 9 songs
each. How many full playlists can she make?
Answer:
30
Step-by-step explanation:
You do 271 ÷9
= 30.11111111
The answer is your whole number (30)