Find sin(2x), cos(2x), and tan(2x) from the given information.
sin(x) = - 8/17, x in Quadrant III
Help, I need this now
Answer:
D is correct
Step-by-step explanation:
i did it
Use the following explicit function to identify f(1) & r, and list the first five terms of the sequence.
f(n) = 1000(1/4)^n-1
f(1) =?
r = ?
then the 5 terms:
___, ___, ___, ___, ___...
Given:
The explicit function is:
[tex]f(n)=1000\left(\dfrac{1}{4}\right)^{n-1}[/tex]
To find:
[tex]f(1)=?,r=?[/tex] and first 5 terms.
Solution:
The explicit formula a geometric sequence is:
[tex]f(n)=ar^{n-1}[/tex] ...(i)
Where, a is the first term and r is the common ratio.
We have,
[tex]f(n)=1000\left(\dfrac{1}{4}\right)^{n-1}[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]a=1000[/tex]
[tex]f(1)=1000[/tex]
And,
[tex]r=\dfrac{1}{4}[/tex]
For [tex]n=1[/tex],
[tex]f(1)=1000\left(\dfrac{1}{4}\right)^{1-1}[/tex]
[tex]f(1)=1000\left(\dfrac{1}{4}\right)^{0}[/tex]
[tex]f(1)=1000(1)[/tex]
[tex]f(1)=1000[/tex]
For [tex]n=2[/tex],
[tex]f(2)=1000\left(\dfrac{1}{4}\right)^{2-1}[/tex]
[tex]f(2)=1000\left(\dfrac{1}{4}\right)^{1}[/tex]
[tex]f(2)=1000\times \dfrac{1}{4}[/tex]
[tex]f(2)=250[/tex]
Similarly, substituting [tex]n=3,4,5[/tex], we get
[tex]f(3)=62.5[/tex]
[tex]f(4)=15.625[/tex]
[tex]f(5)=3.90625[/tex]
Therefore, [tex]f(1)=1000,r=\dfrac{1}{4}[/tex] and the first five terms are [tex]1000,250,62.5,15.625,3.90625[/tex].
Given:
The explicit function is:
To find:
and first 5 terms.
Solution:
The explicit formula a geometric sequence is:
...(i)
Where, a is the first term and r is the common ratio.
We have,
...(ii)
On comparing (i) and (ii), we get
And,
For ,
For ,
Similarly, substituting , we get
Therefore, and the first five terms are .
what is the area of a circle with a diameter of 18.2 cm?
use 3.14 for TT and round your final answer to the nearest hundredth.
the area is ___ square cm.
Answer:
260.0234 cm
Step-by-step explanation:
The formula for area of a circle is π r².
Since the radius is half of the diameter, we must divide the diameter by 2.
18.2/2 = 9.1
Next, we must multiply 9.1 x 9.1.
This gives us 82.81
Now we must multiply 82.81 by pi (3.14).
82.81 x 3.14 = 260.0234
Therefore, the area of the circle is 260.0234.
David's earnings recently changed from $5500 to $6325. By what percent did the earnings change?
Answer: In percentage, the answer is 115%
Step-by-step explanation: if you want to find the rise, just simply divide 5500 from 6325, or 6325/5500. You will get 1.15 but converted to percentage, that is 115%
someone help me with this please
PLEASE HELP!!!!!!!!!!! I NEED THIS RN!!!!! NO LINKS, JUST THE ANSWER!!!!!!!
THIS IS NOT MULTIPLE CHOICE!!!!!!
B. Find another city whose population starts larger than the city in part (a), but
that during this same time experienced population decline. Determine its
population for January 1st of the same year you picked for part (a). Write an
exponential function to represent the city’s population, y, based on the
number of years that pass, x after a period of population decline. Describe
the variables and numbers that you used in your equation.
-
c. Explain the similarities and differences between your equations in (a) and (b).
d. During what year will the population of city (a) first exceed that of city (b)?
Show all of your work and explain your steps.
e. During what year will the population of city (a) be at least twice the size of
the population of city (b)? Show all of your work and explain your steps.
Answer:
Step-by-step explanation:
We need the actual base question put that in the comments or edit the question
Help,No Links or i will report and i will give brainliest to first person who answers
A bag contains 9 blue marbles and 36 green marbles. If a representative sample contains 3 blue
marbles, then how many green marbles would you expect it to contain? Explain.
Answer:
It is 12 green marblesStep-by-step explanation:
[tex] \frac{9}{3} = 3 \\ \\ \frac{36}{x} = 3 \\ x = \frac{36}{3} \\ x = 12[/tex]
I hope that is useful for you :)
‼️Someone help please..
Find the missing term in each sequence
Answer:-170
Step-by-step explanation:as you can see it is going in a pattern from the negative ok thanks.
help, it is due at 5 pm and it is 4:53
Answer:
Omg where is it then
Step-by-step explanation:
upload image attachment
PLEASE HELP
Video Game Weather
In a video game, the chance of rain each day is always 30%. At the beginning of each day in the
video game, the computer generates a random integer between 1 and 50. Explain how you could
use this number to simulate the weather in the video game.
I
Answer:
35
Step-by-step explanation:
g(1) = 4
g(n) = g(n-1).(-3)
g(3)=
g(1) = 4
g(n) = g(n-1).(-3)
g(3)= 2g(2) = 24 = 16
The area of the rectangle shown below is 36 square units. Set up and solve an equation to find the value of x
Answer:
x = 3 is the answer :)
hope this helps
The measure of an angle is 83.4°. What is the measure of its supplementary angle?
Answer:
The supplementary angle is 96.6.
Step-by-step explanation:
Complementary angles make up to 90 degrees, but since this is a supplementary angle, it'll make up to 180 degrees. From there, you subtract 180-83.4 to get 96.6 degrees.
Umm ... NO FILES/LINKS !!!
which expression is equivalent to the problem shown?
A balloon has a circumference of 16 cm. Use the circumference to approximate the surface area of the balloon to the nearest square centimeter.
804 cm2
326 cm2
256 cm2
81 cm2
Answer:
The answer is 256 cm 2.....
The number of shelves, s, in a bookcase and the number of books, b, the bookcase can hold
Answer:
whats the question
Step-by-step explanation:
helpppppppp pleaseeeeee
Answer:
7a + b - 16c
Step-by-step explanation:
So we have
7a-3b+c-8c+4b-9c
When it comes to problem like these, you need to combine like terms.
There's only one 'a' number, so that one remains the same.
Next, we have -3b and 4b. (-3b+4b)= b
Finally, there's (c-8c-9c).
(-8c-9c)= -17c
Take that and add the positive 'c' to it.
(-17c+c)= -16c
Put it all together now to get:
7a + b - 16c
I hope that helped and helped you understand at least a little
:)
Four out of 25 people are left-handed. In a school of 400 people, how many would you expect to be
left-handed
Answer:
devide the 25 out of 400 and then devide what is left and then... u get the answer
Step-by-step explanation:
Answer:
64 would be left handed
Step-by-step explanation:
16 times 4 is 64
x=?
Please help y’all
Answer:
35
Step-by-step explanation:
i believe it is 35 degree at is directly opposite to a 35 degree angle
What is 1/2b x 6/10 ?
Answer:
the answer to this question is 2.4b
Which associations best describe the scatter plot?
Select each correct answer.
A. Nonlinear association
B. Negative association
C. Linear association
D. Positive association
Answer: i think hope this helps
Step-by-step explanation:
PLEASE HELP FAST!!!
find the equation of the line that is perpendicular to this line and passes through the point (-7, 6)
find the equation of the line that is parallel to this line and passes through the point (-7, 6)
Answer:
-7.6
Step-by-step explanation:
What is the answer to this question?
Answer:
$608.33 or $608.32645 not rounded
Step-by-step explanation:
A=P(1+r/n)^nt P=500 r=0.04 n=1 t=5
A=500(1+0.04/1)^1x5
A=500(1.04)^5
A=500(1.2166529)
A=608.32645
How can you solve A Problem Like this ?
Answer:
What are you trying to solve? That equals 6/8
Step-by-step explanation:
Jacob reduced the size of a painting to a width of 3.2 inches. What would be the new
height if the painting was originally 42.88 inches in width and 33.5 inches tall?
1) 1.9 inches
2) 3.7 inches
3) 2.5 inches
4) 4.1 inches
Answer: 3.) 2.5 inches
Step-by-step explanation:
x 32.5
___ = ______
3.3 42.9
42.9x= 3.3 * 32.5
x= 3.3*32.5
_______
42.9
x=2.5 inches/in.
Rectangle ABCD is translated to form the image A'B'C'D'.
What are the new coordinates of point D?
Answer:
i think its (6,4)
Step-by-step explanation:
Salma made 378 for 18 hours of work.
At the same rate, how much would she make for 5 hours of work?
Answer:
Sorry, I can't help you with that :( I hope someone else can tho!
Step-by-step explanation: