55% because you add 80% and 30% which is 110% and divide that by 2.
write a rule for the nth term of the sequence for which a3=27 and r=3
Answer:
These two things should help you with your question.
Step-by-step explanation:
How To Find The nth Term Of A Geometric Sequence
Written by Hazmo in Geometric Sequence
The nth term is one of the most important element of geometric sequence.
It’s usually used to find out specific values within the geometric sequences.
We calculate the nth term by first finding the common ratio ‘r’ by dividing any two consecutive terms of the sequence.
And then we substitute ‘a‘ with the first term of the sequence and ‘n’ with the term number to get the final answer of the nth term.
The general formula to find the nth term is:
an=a1r(n–1)
Understanding the nth term of a geometric sequence gets easier if we know the meaning of this term and variables used.
Therefore, let’s first find what the nth term is and then move on to the details of it’s evaluation with different examples.
The rule that is generated is 3, 9, 27, ........ an.
What is geometric progression ?"Geometric Progression (GP) is a type of sequence where each succeeding term is produced by multiplying each preceding term by a fixed number, which is called a common ratio. This progression is also known as a geometric sequence of numbers that follow a pattern."
Given,
a3 = 27
and r = 3
Formula for nth term is given by
[tex]a_{n} = a_{1}r^{n-1}[/tex]
so, we have
[tex]27 = a1.3^2[/tex]
so a1 = 3
Hence, the series becomes 3, 9, 27, ........an
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25. In the diagram, CT = 10.
What is the length of AB?
Answer:
The length of AB is 4.33012701892
Step-by-step explanation:
1. You find 10*sin(60 degrees), because sin(60 degrees) = x/CT, and CT = 10. That means that sin(60 degrees) = x/10. You multiply by 10 on both sides, which would mean that x = 10sin(60 degrees) and that AT = 8.66025403784 because x is AT.
2. Then, because the relation between AT and AB and Angle T is sine, you use cosine to find x. If you do that, you find that the equation is sin(30 degrees) = x/8.66025403784. That means that 8.66025403784*sin(30 degrees) = x. If you calculate that, you find that x = 4.33012701892, and AB is x.
what is 8% of 1,000?
URGENT!! :(
Answer:
Step-by-step explanation:
8% of 1,000 is 80
if you multiply 1000 by the decimal form of 8% (0.08) you will get 80
1,000*0,08=80
Answer:
the answer is 80.
Step-by-step explanation:
Multiply 0.08 with 1000
write a sentence to compare the two points shown on the number line
-2.7 and 4.5
Use the triangle to evaluate each function.
sin(A) =
tan(A) =
sec(A) =
Answer:
sin (A) = opposite / hypotenuse = BC / AB = 3/5
tan (A) = opposite / adjacent = BC / AC = 3/4
sec (A) = hypotenuse / adjacent = AB / AC = 5/4
Step-by-step explanation:
Part I
sin(A)= 3/5
tan(B)= 3/4
sec(A)= 5/4
Part II
B. cot(B)
Step-by-step explanation:
Louise spins the spinner twice. What is the probability of spinning first orange and then blue?
Find x round to the nearest tenth
Answer:
x = 17.9
Step-by-step explanation:
tan theta = opposite side/ adjacent
tan 40 = 15 /x
x = 15 / tan 40
x =17.87630389
To the nearest tenth
x = 17.9
What is the length of a leg of an isosceles right triangle whose hypotenuse measures 6 inches?
A right triangle is shown. The hypotenuse has a length of 6. The lengths of the other 2 sides are a.
Let c represent the value of the hypotenuse. If the hypotenuse is c = aStartRoot 2 EndRoot, then 6 = aStartRoot 2 EndRoot. In inches, what is the value of a?
3
3 StartRoot 2 EndRoot
6
3 StartRoot 2 EndRoot
Answer:
B
Step-by-step explanation:
took assignment
The measure of equal sides of an isosceles right triangle is 3√2.
Given that, the isosceles right triangle whose hypotenuse has a length of 6 inches. The lengths of the other 2 sides are a inches.
By using Pythagoras theorem, we get
6²=a²+a²
2a²=6²
2a²=36
a²=18
a=±√18
a=±3√2
Therefore, the measure of equal sides of an isosceles right triangle is 3√2.
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Calculate the area of the rectangle with a base of 15 inches and and an altitude of 7 inches
Answer:
a
Step-by-step explanation:
it hs explanasion
The smallest hummingbird is the Bee hummingbird. It has a mass of about 1
1
2
grams. The mass of a larger type of hummingbird is about 5 times the mass of the Bee hummingbird.
This question is incomplete and has not be written correctly.
Complete Question:
The smallest hummingbird is the Bee hummingbird. It has a mass of about 1 1/2 grams. The mass of a larger type of hummingbird is about 5 times the mass of the Bee hummingbird.
What is the mass of the larger humming bird?
Answer:
7 1/2 grams
Step-by-step explanation:
The mass of Bee humming bird is given in the question as = 1 1/2 grams
Mass of the larger humming bird = 5 times the mass of Bee humming bird
The mass of the larger humming bird is calculated as:
5 × 1 1/2 grams = 5 × 3/2 grams
= 15/2 grams = 7 1/2 grams
Therefore, the mass of the larger humming bird is 7 1/2 grams
If the area of a circle is 25 pi, find the length of an arc with a central angle of 240? Any help is appreciated please.
Answer:
11.81pi
Step-by-step explanation:
r^2=25pi
r=8.86
length=2pi(8.86)(240/360)
=17.72pi(2/3)
=11.81pi
An accountant used to charge $30 per hour, but recently decided to charge 20% less. Now how much does she charge per hour?
$24
Step-by-step explanation:
Answer: 24
Step-by-step explanation: First you have to find out what 20% of 30 is. Then you subtract that 20%(6) from thirty giving you the answer of 24
Which one of these is the correct unit of measurement in finding volume?
Group of answer choices
square centimeter
cubic meter
inch
feet cubic
Answer:
feet cubic
Step-by-step explanation:
Answer:
the last one, feet cubic
Step-by-step explanation:
What is the arc length of arc ABC in red? You may use 3.14 to estimate an
answer or the letters pi
you got this I believe in you
The area of a room is 55.929 square meters. If its width is 5.43 meters, what is its length
Look at the attached picture
Hope it will help you...
In Albany, NY, the morning temperature was -20 degrees Fahrenheit. The
high temperature for that day was 2 degrees Fahrenheit. What was the
difference between the high and low for that day?
A: -22
B: 22
C: -18
D:18
Answer:
-18
Step-by-step explanation:
-20 - 2/ -20 + 2 = -18
Answer:
Step-by-step explanation:
-18
Please help me !!!!! I’ll mark the brainliest
Answer:
Step-by-step explanation:
Answers:
1: Yes, a polynomial (I'm going from left to right top to bottom)
2: Yes, a polynomial
3. Yes, a polynomial
4. Yes, a polynomial
5. No, not a polynomial
6. No, not a polynomial
Sorry this took so long!
The volume of a cylinder is 4,320(pi) ft?. The diameter is 24 ft. What is the height of the cylinder?
30 ft
7.5 ft
12 ft
ANSWER
the height is 30 ft
Help will be appreciated
Answer:
50.24 cubic feet
Step-by-step explanation:
Diameter = 8 feet
Radius (r) = 8/2 = 4 feet
Height (h) = 3 feet
[tex]V_{cone} = \frac{1}{3} \pi {r}^{2}h \\ \\ = \frac{1}{3} \times 3.14 \times {4}^{2} \times 3 \\ \\ = 3.14 \times 16 \\ \\ = 50.24 \: {feet}^{3} [/tex]
someone please help fast I will mark as brainelist
Answer:
1.economics 2.endangered species 3. environmental impact statement
Step-by-step explanation:
sry if its wrong i did it really fast
The line graph shows the number of goals scored
by a team in 18 games.
a) In how many games were zero
goals scored?
Number of games
b) Altogether, how many goals did
the team score in the 18 games?
c)What was the median number
of goals that the
team scored?
Answer:
a) 1 game
b) 41 goals
c) median = 2
Step-by-step explanation:
a)
As we can see in the line graph, where we have the 0 for the number of goals scored, the graph indicates only 1 in the number of games, so we have only 1 game where no goals were scored.
b)
To find the total number of goals scored, we multiply the goals scored by the number of games for that score, and then sum them all:
total goals = 1*0 + 4*1 + 5*2 + 6*3 + 1*4 + 1*5 = 41 goals
c)
To find the median, we put all the goals in crescent order, and then find the value in the middle. As we have 18 games, the middle value will be an average of the 9th and 10th terms.
We have 1 number 0, 4 numbers 1 and 5 numbers 2 in the beginning, so for these 10 numbers, the 9th and the 10th are the score 2, so the median is 2.
Answer:
Step-by-step explanation:
its d
2. If a toy rocket is launched vertically upward from ground level with an initial velocity of 128 feet
per second, then its height h after t seconds is given by the equations h(t) = -16° +128t (if air
resistance is neglected).
a. How long will it take for the rocket to return to the ground?
b. After how many seconds will the rocket be 112 feet above the ground?
C. How long will it take the rocket to hit its maximum height?
d. What is the maximum height?
Answer:
a. 8 seconds.b. 1 second and 7 seconds.c. 4 seconds.d. 256 feet.Step-by-step explanation:
The given function is
[tex]h(t) = -16t^{2}+128t[/tex]
The image attached shows the trajectory of the rocket in a height-time graph. Notice that the maxium point reached is (4, 256), which means after 4 seconds, the rocket has a maximum height of 256 feet. (c) and (d)
Additionally, a parabola is symmetrical, which means it takes the same time going up or down, therefore the rocket reaches the ground after 8 seconds. (a)
Now, when the rocket is 112 feet above the ground, we have
[tex]112 = -16t^{2}+128t[/tex]
Where we need to solve for [tex]t[/tex]
[tex]0 = -16t^{2}+128t-112[/tex]
Using a calculator, we have the solutions [tex]x_{1}= 1[/tex] and [tex]x_{2}=7[/tex], which means after 1 second and 7 second, the rocket is 112 feet above the ground. (b)
SOMEONE PLEASEEEE HELP MEE will mark you brainliest
A particle traveled the distance of 6.6×[tex]10^{-19}[/tex] meters a a rate of 3.3×[tex]10^{-34}[/tex]. If distance equals rate times time, how many seconds did it take the particle to travel the specified distance?
A. 5.0x[tex]10^{14}[/tex] seconds
B. 2.0x[tex]10^{15}[/tex] seconds
C. 2.0x[tex]10^{-53}[/tex] seconds
D. 5.0x[tex]10x^{-53}[/tex] seconds
Answer:
Distance (D) equals rate (R) times time (T): D = R x T
=> T = D/R = 6.6 x 10^-19/(3.3 x 10^-34) = 2 x 10^15 (m)
=> Option B is correct
Hope this helps!
:)
if i have 1000 dollars and use all of it to buy a lot of Pokemon card packs that cost 4.12$ each.
How many packs will i have
Answer:
See answer below
Step-by-step explanation:
You could buy 242 packs but not enough to buy 243 because you can't have half of a pokemon card
Hope this helps :)
Answer:
242
Step-by-step explanation:
That is a lot
Find the volume of the sphere. Either enter an exact answer in terms of pi or use 3.14 for pi and round your final answer to the nearest hundredth.
The radius is 7
Step-by-step explanation:
Volume = 4/3 × [tex]\pi[/tex] r³
Volume = 4/3 × 3.14 × 7 × 7 × 7
Volume = 1436.03 cm³
The volume of the sphere with a radius of 7 units is 457.33π cubic units
Volume of a sphereA sphere is a solid 3-dimensional figure. The volume of a sphere is expressed as:
V = 4/3πr^3
where:
r is the radius of the sphere:
Given the following
r = 7 units
Substitute the given parameters
V = 4/3(π) * 7^3
V = 4/3 * π * 343
V = 1372π/3
V = 457.33π cubic units
Hence the volume of the sphere with a radius of 7 units is 457.33π cubic units
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Please answer correctly !!!! Will mark brainliest !!!!!!
Answer:
-12
Step-by-step explanation:
-6 f(-3) - 5 g(-7)
f(-3) is the value of the function at -3
f(-3) = -3
g(-7) is the value of the function at -7
g(-7) = 6
-6 (-3) - 5 *6
18 - 30
-12
Select the grid that represents the ratio 3/5. Then find a percent equivalent to the given ratio. We
Answer:
60%
Step-by-step explanation:
I'm not sure about the grid (as you didn't attach any images), but I can help with the percentage part. To convert a fraction into a percentage, all you have to do is multiply the fraction by 100. When we do this, we get 3/5*100 = 60%.
Another way to think about it is to rewrite 3/5 so that it's denominaor is 100. We can mutiply the fraction by 20/20 which gives us 60/100. Note that this doesn't change the original fraction because 20/20 is equal to 1. Then, you simply take the numerator as the percentage. In this case, the numerator is 60, so the percentage will be 60%.
Hope this helps!
The equation of a circle is given below: (x - 0.5) + (y - 3.5)=16 what is it’s center and radius
Circle equation: (x - h) + (x - k) = r²
(h, k) = center
r = radius
The center (0.5, 3.5)
To find the radius, take the square root of 16.
√16 = 4
The radius is 4.
Best of Luck!
Which expression gives the distance between the points (1, -2) and (2, 4)?
Answer: D
Step-by-step explanation:
The expresion of distance is [tex]d=\sqrt{(x_1-x_2)^2 +(y_1 -y_2)^2}[/tex]