Answer:
Step-by-step explanation:
\[a_{n}=a{1}r^{n-1}\]
r=16/8=2
a_{12}=8(2)^{12-1}
[tex]a_{12}=8(2)^{11}=16384[/tex]
The 12th term of the geometric sequence is 16384.
What are arithmetic and geometric sequence?An arithmetic sequence is a set of numbers in which every no. next to the previous number has the same common difference
d = aₙ - aₙ₋₁ = aₙ₋₁ - aₙ ₋₂.
In a geometric sequence numbers are written in the same common ratio(r).
It means every next number is a multiple of a common constant and the previous number.
r = aₙ/aₙ₋₁ = aₙ-₁/aₙ₋₂.
Given, a geometric sequence 8, 16, 32,... which has a common ratio(r)
= 16/8 and first term a₁ = 8.
We know nth term of a geometric sequence is aₙ = a₁rⁿ⁻¹.
∴ 12t term of the geometric sequence is a₁₂ = 8.2¹²⁻¹
= 8.2¹¹.
= 8.2048.
= 16384.
learn more about geometric sequence here :
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Find the mean for each data set. Number of Flowers . . . . . . <-----I-----I-----I-----I-----I-----I-----I-----I-----I-----> 10 11 12 13 14 15 16 17 18
Answer:
Well to find the mean of the above
take £ as sigma
therefore,
mean= £fx/£f
This simply means the sum of all the numbers divided by the number of members
therefore,
10 + 11+12+13+14+15+16+17+18= 126
And the number of figure present on the number line are 9, therefore 126 divided by 9
giving you a result of 14
Therefore the mean of the above numbers is 14.
If p ÷2 = 4 and 2 - q = 4, what is the value of 2p + q
a 12
b 14
c 18
d 22
Answer:
the answer is second one 14
A)Greg
B)tony
C)Robert
D)John
Answer:
C
Step-by-step explanation:
Let's compare 3/7 and 3/4 first. These two fractions have the same numerator but not the same denominator, so the fraction with the smaller denominator will be larger. Therefore, 3/4 is larger, so we can eliminate A.
4/9 is less than 1/2, and 3/4 is greater than 1/2, so 3/4 is greater than 4/9 and we can eliminate B. The same goes for D.
Therefore, our answer is C) Robert. Hope this helps!
If f(x)=2x+3, find the following value of f(x)=11.
Please help me understand this problem and the answer please.
Find a monic quartic polynomial f(x) with rational coefficents whose roots include
x=1-sqrt2, and x=2+sqrt5. Give your answer in expanded form.
Answer:
The polynomial hose roots are :
x = 1 - √2 and
x = 2 + √5
Is
x² - (3 + √5 + √2)x + 2 + √5 - 2√2 -√10 = 0
Step-by-step explanation:
The roots of the equation are
x = 1 - √2 and
x = 2 + √5
(x - 1 + √2)(x - 2 - √5) = 0
x²- 2x - x√5 - x + 2 + √5 + x√2 - 2√2 - √10 = 0
x² - (3 + √5 + √2)x + 2 + √5 - 2√2 -√10 = 0
This is the expanded form
a sector with a central angle measure of 175 degrees has a radius of 12 cm, what is the area of the sector
Answer:
70pi
Step-by-step explanation:
Answer: 70π cm²
Step-by-step explanation: Khan Academy
Write the word sentence as an equation.
The quotient of 36 and a number g is 9.
Answer:
[tex]\frac{36}{g}[/tex]=9
The price of a t-shirt is 50$. If you buy 4 shirts, you will get 10% discount. How much do
you have to pay if you buy 8 shirts?
Answer:
360
Step-by-step explanation:
50x4=200
200x0.9=180
180x2=360
Find the sum of the interior angles
of a polygon with 35 sides.
Angle relationships with parallel lines can someone answer please help
Answer:
x°= 34°
m<x and angle measuring 34° are corresponding angles since two lines are parallel with a third line intersecting them.
What is the formula for the circumference of a circle in terms of r
Answer:
C = 2πr
Step-by-step explanation:
The formula for the circumference of a circle is C = πd, and since the diameter, d, is equal to double the radius, 2r, we can replace 2r for d. Giving us C = 2πr
Kendra flips a fair coin two times. What is the probability that she will flip tails both times?
Answer:
Step-by-step explanation:
In the basketball game, the Buffalo made a total of 25 shots. Some of the shots are 2- point shots while others are 3- point shots. If the Buffalo scored a total of 57 points, how many were 2-point shots?
Let's let x be the number of 3-point shots made.
Let's let y be the number of 2-point shots made.
So, then we have:
x+y = 25
And we have
3*x + 2*y = 57
So, we can solve this by substitution. Solving the first equation for x:
x=25-y
Now, plugging into the second equation:
3*(25-y) + 2*y = 57
Simplifying:
75-3y+2y = 26
75-57 = y
y=18
So the player made 18 2-point should and 7 3-point shots for a total of 57 points!
Please help! Correct answer only!
I've been on this question for more than an hour...
You pick a card at random. Without putting the first card back, you pick a second card at random.
What is the probability of picking a 3 and then picking a 3?
Simplify your answer and write it as a fraction or whole number.
Answer:
1/16
Step-by-step explanation:
3 is one of the 4 available choices.
Then, if you pick it again, you get 1/4.
1/4* 1/4= 1/16
Answer:
1/16
Step-by-step explanation:
you have 1/4 chance to get 3 in your case if you pick it two times you gotta multiply the chances 1/4*1/4=1/16
Question is in the picture
Answer:
y = 2x - 7
Step-by-step explanation:
When x is equal to 0, then the y value is your y-intercept. So, your y-intercept is -7.
Now, pick two points. Let's pick (-1,-9) and (0,-7). We can add these into the slope formula.
[tex]Slope(m)=\frac{y2-y1}{x2-x1}[/tex]
[tex]m=\frac{-7-(-9)}{0-(-1)}[/tex]
[tex]m=\frac{2}{1}[/tex]
[tex]m=2[/tex]
Now, we can use the slope and the y-intercept and put them into a slope-intercept equation.
[tex]y=mx+b[/tex]
[tex]y=2x-7[/tex]
click here if your good t math it ez
Write three fractions that are equivalent to 1/2
Use a diagram to show how you know you are right.
Answer:2/4 3/6 4/8
Step-by-step explanation:
Which ratio is equivalent to the ratio 18:24?
15:20
20:15
30:36
36:30
Answer:
Its none of the above but its 36:48 so try 36:30
Step-by-step explanation:
Express the fraction StartFraction 6 Over 22 EndFraction as a percent. Round the answer to the nearest whole percent.
the answer would be 27% :3
Answer:
27%
Step-by-step explanation:
PLEASE HELP!!
Use the Triangle Inequality Theorem to determine which set of numbers CANNOT form the side lengths of a triangle.
A. 7, 9, 20
B. 6, 14, 17
C. 8, 24, 30
D. 2, 2, 3
E. 12, 22, 32
Answer:A
Step-by-step explanation:
Side lengths do not adhere to the triangle inequality theorem.
How do I find the perimeter for a square and a triangle?
Answer: 24 inches.
Step-by-step explanation:
You can find the perimeter of the polygon by adding the side lengths.
First, find the missing side lengths.
There is a short space between the right side of the square above the triangle. The triangle is 3 inches tall, and the square is 4 inches tall, so that space is 1 inch long.
We can then add the sides to find the perimeter:
4 + 9 + 5 + 1 + 5 = 24 inches long.
Keep in mind that the three inches of the triangle is not included in the sum because it is not on the outside of the polygon. The perimeter only includes the lengths of the exterior sides.
If f(x) =(2,9%), what is f(3)?
A. 1/729
B. 729
C. 1/81
D. 81
Answer:
CCC
Step-by-step explanation:
Answer:
81
Step-by-step explanation:
a p e x (just took the quiz)
what do u have to do???????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????
Step-by-step explanation:
Step 1: Answer the question
They are independent because the cards are always going to stay the same. If each card that was picked and discarded, that would alter the future which would make it dependent. But... since it doesn't change the cards, it is independent.
Answer: independent
Answer:
Independent
Step-by-step explanation:
Since the second selection is made after replacement, the options are exactly the same as the first selection. Therefore the second selection doesn't depend on the first one. Hence, they are independent
If it was without replacement, they would have been dependent
Pretty tricky, first correct answer will get brainliest シ︎❤︎✰
｡☆✼★ ━━━━━━━━━━━━━━ ☾
a) The angles should sum to 90 degrees as it is a right angle
Thus x = 90 - 24 - 24
x = 42
b)
(i) It would be j as corresponding angles are equal
(ii) p + q + r = 225
Have A Nice Day ❤
Stay Brainly! ヅ
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PLEASE HURRY !!!!!
Step- by- step
Solve the equation for x:
4x - 4 = 6x + 8
Solve the equation for x:
1/3x + 4 = 10
Factor completely 5x2 - 20.
Answer:
[tex]5(x-2)(x+2)[/tex]
Step-by-step explanation:
Factor out 5:
[tex]5(x^2-4)[/tex]
Use difference of squares formula for the inside:
[tex]5(x-2)(x+2)[/tex]
In 2015, about 895.5 million passengers traveled by plane in the United States. Which value is the BEST estimate of the number of passengers?
A. 9 x 10°
B. 9 x 108
C. 8 x 108
D. 8 x 10°
Find the area of the triangle below.
Be sure to include the correct unit in your answer.
65 yd
13 yd
18 yd
Answer:
The area is
[tex]72yd^{2}[/tex]
(square yards)
Step-by-step explanation:
Explanation:
In the given triangle a base 24 y d and the corresponding height 6 y d
is given, so to calculate the area we can use:
A = 1 2× b × h
If we substitute thegiven numbers we get:
A = 1 2 × 24 × 6 = 12 × 6= 72
The units of base and height are the same (yards), so the calculated area is in y d 2 (square yards)
Answer: The area of the given triangle is 72 square yards.
What number is in the hundreds place in 500?
Answer:
The 5!
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
because it is the 3rd number from the ones place
Peter's grandma has a trapezoidal garden, as in the picture.
a) What is the length of the fence of that garden?
b) What is the area of the garden?
The word in the top left corner in the picture is not linked to this task.
Length of fence = perimeter of trapezoid
= 12 + 6 + 5 + 5
= 28 meters
Area of garden = [tex]h (\frac{base 1 + base2}{2} )[/tex]
= 4([tex]\frac{12+6}{2}[/tex])
= 4 x 9
= 36 sq. meters
Solve the equation by doing the inverse operation to work backwards
x+13=25
Answer:
x = 12
Step-by-step explanation:
x+13=25
Subtract 13 from each side
x+13-13=25-13
x = 12