Answer:
-44
Step-by-step explanation:
The growth of a tree in Andy's backyard has slowed down as the tree has continued to age. The heights of the tree over the past four years are: 10 feet, 11 feet, 12.1 feet, and 13.31 feet. Write a recursive formula for the height of the tree
Answer:
9.091(1.1^n)
Step-by-step explanation:
Given the height of a tree for the past 4 years given by the sequence;
10ft, 11ft, 12.1ft, 13.31ft...
We can see that the sequence is in geometric progression since they have a common ratio;
The nth term of a geometric progression is expressed as;
Tn = ar^n-1
a is the first term
r is the common ratio
Given
a = 10
r = 11/10 = 21.1/11 = 13.31/12.1 = 1.1
Substitute into the formula;
Tn = 10(1.1)^{n-1}
Tn = 10(1.1^n)/1.1
Tn = 9.091(1.1^n)
Hence the recursive formula for the height of the tree is expressed as 9.091(1.1^n) where n is the total number of tree.
TRANSFORMATIONSS PLS HELP DUE IN AN HOUR
Answer:
transformation across the x axis
Answer:
Reflection over the X-axis
Step-by-step explanation:
That's the only thing I can think of. Can you list the choices, though? It could be a reflection followed by a translation...
pls answer this i will dir
Answer:
59 cuz it's an isosceles triangle (two sides and two angle are equal)
I NEED HELP!!!!
(3.2 x 10^4)(1.4 x 10^2)
Evaluate each expression Express result in scientific notation
I need help learning to do this IM GIVING EXTRA POINTS!!!
Step-by-step explanation:
So Scientific Notation is like this.
Ya got a big number that has of 0s . Let's just throw out 69,000,000,000,000
You take the other numbers that arent 0s. Take the first number and put a "." in between it and the second number. So, in this case, you have 6.9, like this.
You then count the number of 0s and +1. So in this case, you'll have 12+1. Which is 13.
You then take the 6.9 and note it with a *10. You then take the 13 and put it on the 10 as an exponent. So in the end youll have 6.9*10^13.
Hopefully, this helps.
With love,
A G 4 2
Factor 24x−20 using the GCF.
need it asap!
Answer:
The factor is 4.
Step-by-step explanation:
You can divide both 24 and 20 by 4, leaving you with 6x-5.
Highest common factor should be 4.
Given that,
The equation is 24x - 20.Based on the above information, the calculation is as follows:
Here 24 and 20 should be divisible by 4
So,
= 4(6x - 5)
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what is the LCM of 80 and 60
Answer:
240
Step-by-step explanation:
Answer:
240
Step-by-step explanation:
What I do is I first multiply the two numbers...
(60 * 80 = 240)
From there I try and find if there is any number lower than the product of these two numbers... if there isn't... then the product is the LCM
Since the only factor between 80 and 240 is 160... that is the only other possible answer... since 160 is not a multiple of 60... the answer can only be 240.
I hope this helps and wasn't too confusing:)
What is the exact value of Tangent (StartFraction pi Over 12 EndFraction)
Answer:
a
Step-by-step explanation:
just did it and got right
The required value of the trigonometric operator tan(π/12) = 2 -√3. None of them is correct.
These are the equation that contains trigonometric operators such as sin, cos.. etc. In algebraic operation.
Let,
= [tex]tan(\pi /12) = tan((3-2)\pi /12)[/tex]
[tex]= tan[(3\pi -2\pi )/12]\\=tan(3\pi /2-2\pi /12)\\=tan(\pi /4-\pi /6)\\=\frac{tan(\pi/4)-tan(\pi/6)}{1+tan(\pi/4)tan(\pi/6)}[/tex]
= [tex]\frac{1-1/\sqrt{3} }{1+1*1/\sqrt{3} } \\[/tex]
[tex]=\frac{(\sqrt{3}-1)/\sqrt{3}}{(\sqrt{3}+1))/\sqrt{3}}[/tex]
[tex]=\frac{(\sqrt{3}-1)}{(\sqrt{3}+1)}\\=\frac{(\sqrt{3}-1)(\sqrt{3}+1)}{(\sqrt{3}+1)(\sqrt{3}+1)}\\=\frac{(3-2\sqrt{3}+1)}{(3-1)}\\\\=\frac{(4-2\sqrt{3})}{(2)}\\={(2-\sqrt{3})}\\[/tex]
Thus, the required value of the trigonometric operator tan(π/12) = 2 -√3. None of them is correct.
Learn more about trigonometry equations here:
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The new Kyrie 5's Pineapple House shoes came out yesterday. (FOR REAL) They cost $200, but you have a 20% off discount. How much is your discount?
4. On the day Alex was born, his father invested $5000 in an account with a 1.2% annual growth rate.
Answer the questions below.
(a) Write a function, A(t), that represents the value
of this investment t years after Alex's birth.
(b) Use your equation to determine how much the
investment will be worth when Alexander turns
21
Answer and Step-by-step explanation:
A) A(t) = 5000(1 + 0.012)t
B) A(t) = 106260
A) 5000 is the initial amount, 1 + 0.012 is the interest rate, and t represents the years.
B) When we plug 21 into the equation, we get 106260.
I hope this helps!
Select the correct answer. Which set of coordinates satisfies the equations 3x-2y= 15 and 4x - y = 207 OA (2-7) OB (1.6) OC (5.0) OD. (0,75).
Answer:
C.) (5,0)
Step-by-step explanation:
You see where the lines cross together. That will be the answer.
4600000000 in standard form
Answer:
four billion, six hundred million
Step-by-step explanation:
Eric paints 8 rooms in 3 days for 600$
a. What is his painting rate in dollars per day?
b. How much does he receive on average for a room?
c. About how many rooms could Eric paint in 6 days?
Brainliest for correct answer
Answer the question belowww
30 points!!
Find the missing term to make each statement true
1. 18e + __ = 12e
2. __ - (-21x) = 21x
3. 90z + __ = 80z
Answer:
1. 18e + (-6e) = 12e
2. 0x - (-21x) = 21x
3. 90z + (-10z) = 80z
1. 18e + (-6e) = 12e
2. 0x - (-21x) = 21x
3. 90z + (-10z) = 80z
True or False:
1. If two half planes never intersect, then their boundary lines are parallel.
2. If the boundary lines of two half planes are parallel, then they have no solution area.
Answer:
1- true
2-true
Step-by-step explanation:
hope this helps have a good day
Answer:
1True
2True
hope this helps!
Please help!! I have to find x and y!!
Answer:
X= 17.5
Step-by-step explanation:
the outside of the triangle always = 180
so you need to add up all the sides and equal to 180
5x+35+x+5+2x=180
add like terms
8x+40=180
get the x alone
x=17.5
what is..
y=x+3 and y=-1/2x-3
Answer: (-4, -1)
Step-by-step explanation:
Tom”s family of 4 went out to dinner. They spent 46.40 for the meal. They left a tip of 15% and the tax rate is 7 1/4%. What was the total cost of the dinner
Answer:
$57.22
Step-by-step explanation:
Total before Tax: $46.40
Tax rate: 3.36
After 7 1/4 Tax: 49.76
Tip: $7.46
Total: $57.22
Hope this helped! Have a great day!
What vector describes the transition depicted below !! Please help !!!
Answer:
vector v(4;-3)
Step-by-step explanation:
Which table represents a proportional relationship?
The table shows the number of coins Kaitlyn has.
penny
4
nickel
9
dime
3
quarter
5
Write the ratio of dimes to all coins that Kaitlyn has as a
fraction in simplest form.
Part A
The art club had an election to select a president.
75% of the 60 members of the club voted in the election,
How many members voted?
Answer:
members.
Part B.
How many members did not vote?
Answer:
no of members who voted=
75/100x60=45members
no of members who did not vote=
60-45=15 members
If f(1)=7f(1)=7 and f(n)=f(n-1)+2f(n)=f(n−1)+2 then find the value of f(4)f(4).
Answer:
Step-by-step explanation: f1 =7
f2 = 5(7) + 2 = 37
f3 = 5(37) + 2 = 27
f4 = 5(9) + 2 = 47____
The value of f(4)f(4) f(1) = 7f(1) = 7 and f(n) = f(n-1) + 2f(n) = f(n−1) + 2 is,
121.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
Given, f(1) = 7f(1) = 7 and f(n) = f(n-1) + 2f(n) = f(n−1) + 2.
By this pattern,
f(4)f(4) = [f(4 - 1) + 2f(4)][f(4 - 1) + 2f(4)].
f(4)f(4) = [f(3) + 2f(4)][f(3) + 2f(4)].
f(4)f(4) = [f(3) + 2(4)][f(3) + 2(4)].
f(4)f(4) = [3 + 8][3 + 8].
f(4)f(4) = [11][11].
f(4)f(4) = 121.
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Share 3200 ml of water in the ratio 4:1:3
Answer:
1600 ml, 400 ml, 1200 ml
Step-by-step explanation:
Given ratios are: 4:1:3
Let the shares of the given ratios be 4x, x, 3x
[tex] \therefore \: 4x + x + 3x = 3200 \\ \\ \therefore \: 8x = 3200 \\ \\ \therefore \: x= \frac{ 3200}{8} \\ \\ \therefore \: x=400 \\ \\ \implies \\ 4x = 4 \times 400 = 1600 \\ \\ 3x = 3 \times 400 = 1200 \\ \\ [/tex]
4. On the day Alex was born, his father invested $5000 in an account with a 1.2% annual growth rate.
Answer the questions below.
(a) Write a function, A(t), that represents the value
of this investment t years after Alex's birth.
(b) Use your equation to determine how much the
investment will be worth when Alexander turns
21
Please help me
Answer:
A) A(t) = 5000(1 + 0.012)t
B) A(t) = 106260
Step-by-step explanation:
A) 5000 is the initial amount, 1 + 0.012 is the interest rate, and t represents the years.
B) When we plug 21 into the equation, we get 106260.
I hope this helps!
Janiya received a 20% discount on the purchase of a $649 cell phone. What was the
amount of the discounT
Answer:
$129.80
Step-by-step explanation:
Discount: .20 * 649 = 129.80
Your salary is $65,788. If you work fifty 40-hour weeks in a year, what is your hourly wage?
Answer:
$31.63 per hour
Step-by-step explanation:
hope this helped,brainliest
will give brainlist please help balancing equations
Answer:
cant
Step-by-step explanation:
2. 112, 4
1. A(0,0), B(2, 2), C(-2, 0). D(1, -2)
2
3. P-3.3), (1.2). R(3.-3), S(1.-3).
4. D(2.
Answer: 1,3
Step-by-step explanation:
I don't know how to solve this question.
Answer:
P=Q=R
Step-by-step explanation:
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