Answer:
[tex]f(1)=-6[/tex]
[tex]f(n)=f(n-1)(-3)[/tex]
Step-by-step explanation:
We are given that
[tex]f(n)=2\cdot (-3)^n[/tex]
We have to complete the recursive formula of f(n).
Substitute n=1
[tex]f(1)=2\cdot (-3)[/tex]
[tex]f(1)=-6[/tex]
[tex]f(2)=2\cdot (-3)^2=18[/tex]
[tex]f(3)=2\cdot (-3)^3=-54[/tex]
[tex]\frac{f(2)}{f(1)}=\frac{18}{-6}=-3[/tex]
[tex]\frac{f(3)}{f(2)}=\frac{-54}{18}=-3[/tex]
It forms geometric sequence because the ratio of two consecutive terms are equal.
Therefore, the recursive formula
[tex]f(n)=f(n-1)r[/tex]
[tex]f(n)=f(n-1)(-3)[/tex]
Answer:
f(1) = -6
f(n)= f(n−1)⋅ -3
Step-by-step explanation:
SOMEONE ANSWER THESE ASAP
MARKING BRAINLIEST
PLEASE HELPPPPP
Sorry this took a while; calculated a lot of things.
Step-by-step explanation:
A.
Combined:
2.67 times 23.76 = 63.4392
2.67 times - 21 and 5/6 = -58.295
63.4392 - 31.85 -58.295 = -26.7058
If you mean do both separate:
63.4392 - 31.85 = 31.5892
-58.295 - 31.85 = -90.145
B.
Combined:
11 and 3/4 times 23.76 = 279.18
11 and 3/4 times 21 and 5/6 = 256.541666667
279.18 + 256.541666667 + 56 and 3/8 = 592.096666667
If you mean do both separate:
279.18 + 56 and 3/8 = 335.555
256.541666667 + 56 and 3/8 = 312.916666667
Determine if the triangles are congruent by HL, SAS, SSS, AAS, or
ASA
Somebody help please!!!
On a loan of $4,500 for 2 1/2 years at 4% per year, how much do you wind up paying to pay off the loan?
Answer:
4,950
Step-by-step explanation:
4,500*.10=450
4,500+450=4,950
Hope this helps:)
Which is equivalent to 72 inches?
O A 0.72 yards
O B. 2 yards
O c. 6 yards
O D. 7.2 yards
O E. 36 yards
the answer is B because there is 36 inches in 1 yard
Answer:
Its 2 yards
Step-by-step explanation:
divide 72 by 36
Is the following triangle congruent by SAS, ASA, or SSS? Why?
Answer:
ASA
Step-by-step explanation:
As it is shown
m<A = m<Z
m<Y = m<C and
|YZ| = |AC| so the triangles are congruent by ASA
Help.Calculate the area of the trapezoid
Answer:
180 in²
Step-by-step explanation:
[tex]A_{trapezoid}[/tex] = [tex]\frac{b_{1} +b_{2} }{2}[/tex] h
Despite a wide variety of workplaces for those working in Human Services, all workplaces include
comfortable areas for interactions amongst people.
a variety of medical testing equipment.
desks where clients can sit across from the worker.
toys and exercise equipment for children.
Answer:
a variety of medical testing equipment.
Step-by-step explanation:
Answer:
c hope this helps if wrong please tell me
Step-by-step explanation:
4x=-20 solve for x show your work
Answer: x = 5
Step-by-step explanation:
Answer:
x = -5
Step-by-step explanation:
We have the expression 4x = -20 and are asked to solve x.
To solve, we need to isolate x.
4x = -20
Divide 4 :
x = -5
Help - I’m failing math and I might get held back so please just help
Answer:
[tex] \frac{y}{34} [/tex]
Step-by-step explanation:
Cosine is the adjacent side of the triangle divided by the hypotenuse.
The numerator is going to be the side adjacent to the angle 53
So the top number is y.
The hypotenuse is the side opposite of the right angle. So the bottom number is 34
Radium-226 has a half-life of 1660 years. How many years does it take a radium sample to decay to 55% of the original amount? Round your answer to the nearest year.
Answer:
1432 years
Step-by-step explanation:
A(t) = I(0.5)^t/t1/2
Where t1/2 = half life = 1660
Final amount, A(t) = 0.55 of its original amount =. 0.55I
Hence, we have
0.55I = I(0.5)^t/1660
Take the log of both sides
Log(0.55) = log(0.5)^t/1660
t/1660 = log(0.55) / log(0.5)
t/1660 = 0.8624964
t = 0.8624964 * 1660
t = 1431.7441
t = 1432(nearest whole number)
HURRYYYY FASTTT
There are 16 fluid Ounces of juice in 2 bottles of your favorite juice. How many fluid Ounces are there in 10 bottles?
80 fluid Ounces
72 fluid Ounces
160 fluid Ounces
96 fluid Ounces
Answer:
80 fluid ounces
Step-by-step explanation:
16*5=80
Answer:
80 fluid Ounces
Step-by-step explanation:
I majored in Mathematics
The area of a rectangle is 2x^2-11x+15 square feet. The length of the rectangle
is 2x - 5 feet. What is the width of the rectangle?
A) W = x + 5
B) W = x-1
C) W = x-3
D) W = 2x-5
Answer:
A
Step-by-step explanation:
I need help, please solve this math problem. If you don't know the answer please don't answer. You will get reported.
Answer:
I believe it's A 2¹²
Step-by-step explanation:
The answer lies in the question itself.
In the equation, we have
3x - y = 12.
This means 3x = 12 + y.
We have to find 8^x/2^y.
8 can be written as 2^3. Therefore, 8^x = 2^3x.
But 3x = 12 + y, hence can be replaced.
Now we have, in the fraction, 2^(12 + y)/2^y.
This can be written as 2^(12 + y - y) = 2^12.
If $30,000 then is equivalent to $900,000;
then, what is $1 then equivalent to in today's
dollars?
Answer:
$30
Step-by-step explanation:
You need to figure out how the money changes between then and now. To do that, take now and divide it by then; 900,000/30,000 = 30, the amount now is 30 times that of then. To figure out what any amount then is worth now, multiply it by 30 and you'll get you answer. (In this case: 1*30 = 30)
For the equation 3(7+x)=3x+k, what value of k will create an equation with infinitely many solutions?
Answer: k = 21
Step-by-step explanation:
3(7 + x) = 3x + k
21 + 3x = 3x + k
21 + 3x - 3x = 3x + k - 3x
k = 21
-12x = 3(y - 3)
y = ___
A a. AAnswer:
kid thanks
Step-by-step explanation: kk k k
Priya is making burgers for a party. She has 5 pounds of meat and uses 1/3 of a pound for one burger. How many burgers can priya make?
Answer: Priya can make 15 burgers with 5 pounds of meat
Step-by-step explanation:
Step 1
From Priya's receipe,
1 burger can be made from 1/3 of a pound of meat
How many burgers can be made from 5 pound of meat
Step 2 Using the equation below, that
1 burger = 1/3 pound of meat
Therefore 5 pounds of meat
5 x 1 / 1/3 = 5/(1/3)
= 5 x3 = 15 Burgers.
Need help ASAP please!!
Don’t know how to give brainliest sorry-
Answer:
32°
Step-by-step explanation:
All triangles must have a sum of 180°. Given the angle 58° and since this is a right triangle, we have 2 out of the 3 angles to work with.
90 + 58 + x = 180
x = 32
The sum of two numbers is 12. The product of those same two numbers is -64. Find the numbers.
Answer: The answer for the 2 numbers are 16 and -4.
Step-by-step explanation: 16 + (-4) is 12, and 16 x (-4) is -64.
Find the area of each composite figure.
Answer:
89.14 Sq . meter
Step-by-step explanation:
Divide the figure into a semicircle with diameter 8 m and the remaining into a rectangle . The area of rectangle :
4 metres × 16 metres
= 64 sq. meter
Area of semicircle :
(pi×r^2)/2
= {(22/7)× (8/2)^2}/2
= (22×4×4)/(7×2)
= 176/7
= 25.14 sq. meter
Now , area of whole figure= (64+25.14)sq. meter
= 89.14 sq. meter
In x^a=y, y^b=z, z^c=x, then prove that abc=1
Step-by-step explanation:
Let, x^a =y......(1) and
y^b =z.....(2) and
z ^c =x......(3).
Now, using (1) in (2) we get,
x ^ab =z......(4).
Now, using (4) in (3) we get,
x ^abc =x
or, x ^abc =x ^1
or, abc=1.
Hope it will help :)
Step-by-step explanation:
hope the above solution will help you
Amy's fish tank has 16 liters of water in it. She plans to add 6 liters per minute until the tank has more than 88 liters. What are the possible numbers of minutes Amy could add water?
Answer:
12 minutes till 88 liters
Step-by-step explanation:
5. A ladder 17 m long reaches the window of a building 15 m above
the ground. Find the distance of the foot of the ladder from the
building
Hint. Let AB be the ladder, CB be the building and B be the
window.
15 m
Then, AB = 17 cm, BC = 15 m, find AC.)
Answer:
8 m.
Step-by-step explanation:
Use the Pythagoras theorem
17^2 = 15^2 + AC^2
AC^2 = (17-15)(17+15) = 2 * 32
AC^2 = 64
AC = 8 m.
In a certain candy store, 3 pounds of candy and 2 pounds of mints cost $10.80, and 1 pound of candy and 3 pounds of mints cost $5.35. What is the cost per pound of the mints?
Answer:
Step-by-step explanation:
we will set up two equations:
let c be candy
let m be mints
3c+2m=10.80
c+3m=5.35, c=5.35-3m
3(5.35-3m)+2p=10.80
c=3.10
m=0.75
Let x be the cost of candy per pound and y be the cost of mint per pound.
[tex]\left \{ {{3x + 2y = 10.80} \atop {{x + 3y = 5.35}} \right.[/tex]
Rewrite the second equation for substitution:
x = 5.35 - 3y
Substitute the equation above into the first equation:
3(5.35 - 3y) + 2y = 10.80
16.05 - 9y + 2y = 10.80
-7y = -5.25
7y = 5.25
y = 0.75
∴ The price of mint per pound is $0.75.
i ready classroom grade 8 volume 1 mathematics
Can anyone help me with this asap !!!
Answer:
COCO is life
Step-by-step explanation:
COCO is = to food and water
And food of COCO contains 2grams
Water of COCO contains 10 liters
So add grams and liters together
And u get this
10l/41ⁿ9xg451/⅞41 + we12/need/34¹⅔/coco
=coco 10274728l
Convert 60°F to degrees Celsius.
If necessary, round your answer to the nearest tenth of a degree.
Here are the formulas.
c=5 (F 32)
F=ŚC+32

Answer:
the answer is 15.5⁰ Celcius
NEED HELP WITH THIS ASAP!!
GIVING BRAINLIEST AND 39 points I3. Pls help with all !Which cellular process occurs within the
organelle shown above? sc.8.L.18.2
A cellular respiration
B photosynthesis
C transport of phloem
D transport of xylem
the pythagorean theorem states that a^2 + b^2 = c^2 If A and B represent the length of the legs of a right triangle and C represents the length of the hypotenuse. Find the length of the hypotenuse Is the length of the legs are 9cm and 12cm.
Answer:
25 or 50 points is that if 25 or 20 im not
Answer:
The hypotenuse equals 15cm
Find the value of x and y.
Answer:
This is a triangle with 2 equal angles and equal to 60
=> this is an equilateral triangle
=> y = 60
4x.3 = 54
=> y = 60
x = 54/12 = 4.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
if two angles are 60 degrees, the third one is also 60 degrees
that means all the sides are equal
if one side is 4x
4x+4x+4x=54
12x=54
x=4.5