Answers
Answer:
[tex]a_{14} = 10496[/tex]
Step-by-step explanation:
A geometric sequence is of the form:
[tex]ar^0, ar^1, ar^2, ar^3, \cdot \cdot \cdot[/tex]
So the given values can be represent as:
[tex]1. \quad ar^5 = \frac{41}{256}\\2. \quad ar^{10} = -164[/tex]
So you have a system of equations with two unknows [tex]a[/tex] and [tex]r[/tex]. Then you can find one unknow in terms of the other.
[tex]a = \frac{-164}{r^{10}}[/tex]
Now replace [tex]a[/tex] in the first equation
[tex]\frac{-164}{r^{10}}r^5 = \frac{41}{256}\\\frac{-164}{r^{5}} = \frac{41}{256}\\r^5 = \frac{256 \cdot -164}{41} = -\frac{41984}{41}\\r = \sqrt[5]{-\frac{41984}{41}}\\[/tex]
You don't have to worry about the negative number inside the root, because is a odd root then you can find odd negative numbers that give me the desire result.
[tex]r = -\frac{4\sqrt[5]{41} }{\sqrt[5]{41}} \\r = -4[/tex]
For find [tex]a[/tex] only replace [tex]r[/tex] in whatever of the two equations.
[tex]-a4^5 = \frac{41}{256}\\-a1024 = \frac{41}{256}\\a = -\frac{41}{262144}[/tex]
After find [tex]a[/tex] and [tex]r[/tex] use the next formula for find the [tex]14^{th}[/tex] term.
[tex]ar^{13} = x\\-\frac{41}{262144} \cdot -4^{13} = x\\\\10496 = x[/tex]
Related Questions
(simplify)
i will give brainliest if correct
3 √2x8
Answers
3√2 × 8
= (3 × 8) √2
= 24√2
= 33.941
= 34 (approx.)
______
Hope it helps!
RainbowSalt2222 ☔
the answers of 3 √2x8 is 12
The area of a square is 300 feet. What is the side length of the square? Round to the nearest tenths place.
Answers
Answer:
17.3
Step-by-step explanation:
square root of 300 is 17.32050808
17.32050808 rounded is 17.3
A package of 4 pairs of insulated gloves costs $21.56. What is the unit price of the pairs of gloves?
Answers
Answer:
Your answer is $5.39.
Step-by-step explanation:
There are 4 pairs of gloves. The unit price is only for a single pair of gloves, so divide the total cost by the pairs of gloves to get your answer: 21.56 ÷ 4 = 5.39. (Also, since we are talking about money, there would be a dollar sign next to 5.39: $5.39)
O is the centre of the circle. Determine the value of s to the nearest tenth, if necessary.
a) 6.7
b) 7
c) 77
d) 9.2
Answers
Using the slope program, create the line y = 2x. Keeping the line the same, move one (or both) of the points so the triangle created by the points has a vertical length of 10 units. What is the horizontal length? Does this horizontal length match the answer you found in the previous question?
Answers
Answer:
x = 5 unitsStep-by-step explanation:
Use the proportion we have to find the horizontal length:
y = 2xWhen y = 10, the value of x is:
10 = 2xx = 10/2x = 5[tex]\\ \sf\longmapsto y=2x[/tex]
Vertical length=yHorizontal length=xPut y=10 in equation
[tex]\\ \sf\longmapsto 10=2x{/tex]
[tex]\\ \sf\longmapsto x=\dfrac{10}{2}[/tex]
[tex]\\ \sf\longmapsto x=5units[/tex]
-2.7 = a - 3.3
what’s the operation
is it an inverse or a reciprocal
what does A=
Help ASAP
Answers
Answer:
a= 0.6
Step-by-step explanation:
This is the answer...........
Answer:
It is reciprocal.
A = 0.6
Step-by-step explanation:
Reciprocal” means “equality,”
To find the A. Use APE or Additive Property of Equality
-2. 7 = a - 3.3
-2.7 + 3.3 = a
0. 6 = a
if 14 karat gold necklace weighs 1.8 ounces how many ounces of pure gold does it contain
Answers
Answer:
1.05 ounces
Step-by-step explanation:
Purest gold is 24 karat
So ATQ:
(14/24) X 1.8=1.049 OR SAY 1.05(ROUNDED OFF)Z is the centroid of AUVW. U X Z W Y What is UY if UZ = 8? Ο Α. 4 B. 8 O C. 6 O D. 12
Help Please!!
Answers
Answer:
D
Step-by-step explanation:
The distance from the vertex to the centroid is twice as long as the distance from the centroid to the midpoint, that is
ZY = [tex]\frac{1}{2}[/tex] UZ = [tex]\frac{1}{2}[/tex] × 8 = 4
Then
UY = UZ + ZY = 8 + 4 = 12 → D
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
James is following this recipe to make flapjacks.
James uses 330 mL of syrup.
How many flapjacks is James making?
Recipe: Makes 8 flapjacks
100 g sugar
110 mL syrup
220 g oats
165 g margarine
30 g sultanas
Answers
Answer:
24 flapjacks
Step-by-step explanation:
330 / 110 = 3
8 *3 = 24
someone please help me i'll mark brainliest
Answers
Answer:
4-9/5
Step-by-step explanation:
I think so but if not sorry
HELP PLS!!!!!!
How many oranges can you make by just using 3 straight cuts? (a) 3 (b) 6 (c) 7 (d) 8
Answers
Answer:
D will be the answer
Step-by-step explanation:
You could cut the orange into four pieces by using 2 straight cuts/making an x on the orange. Then you could flip the orange onto the side/middle and cut again to make 8 pieces.
Hope this works for you!
Find the values of x and y.
Answers
Answer:
y= 132, x= 32.6
Step-by-step explanation:
Let me know if this is right!
Hope it helps
Y= 132, X=32.6
The x intercept of the inequality y > 12 - 3x is (a, 0) What is the value of a? (100 points)
Answers
Answer:
a > 4
Step-by-step explanation:
y > 12 - 3x, given the points(a, 0)
We just have to substitute the point of x and y
=> 0 > 12 - 3a
=> - 12 > - 3a,
divide both sides by the coefficient of a
=> - 12/-3 < a
Therefore a > 4
how can I solve this
1/2 of 20
Answers
Answer:
Just multiply over here
1/2 *20
1/2 * 20/1
20/2
10
answer is 10
Answer:
10
Step-by-step explanation:
multiply (1/2) by 20
10
x + 3y = 5
x + 2y = 3
Solve by using elimination
Answers
Answer:
(x, y) = (-1, 2)
Step-by-step explanation:
The variable x has the same coefficient in both equations, so we can eliminate x by subtracting one equation from the other. We notice the y-coefficient is greater in the first equation, so we want to subtract the second equation. This will ensure that the remaining y-term has a positive coefficient. (That is not required by the elimination method, but it helps reduce mistakes.)
(x +3y) -(x +2y) = (5) -(3)
y = 2 . . . . . . . simplify
x =3 -2y = 3 -2(2) = -1 . . . . . use the second equation to find x
The solution is (x, y) = (-1, 2).
0.57,0.66,0.75,0.84 what are the next three numbers
Answers
Step-by-step explanation:
since the difference between all the numbers is 0.09 so to get the next three numbers you add o.o9 to 0.84 the answer u get add it with 0.09 until u get the numbers u are asked to look for
What is 3, 4, 5, 6, and 7.
Answers
4- angle addition postulate
5-?
6-?
7-
how to simplify 3x - 20
Answers
Answer:
-60
Step-by-step explanation:
you can just do 3x20, which makes sixty, then put change that to negative, since there is a negative in the number
Write the solution to the inequality:
y - 4 < -11
Answers
Answer:
y < -7
Step-by-step explanation:
add 4 to both sides to get y<-7
Answer:
add 4 to both side
y-4+4>-11+4
y>-7
Colin hits a ball 5 times out of 12 times is thrown to him based on that rate what is approximate probability that coin will hit the next ball that is thrown to him
Answers
A car is sold for £7,800 If this represents a depreciation in value to 60% of its original
price, then calculate the original price of the car.
Answers
Answer:
6,543
Step-by-step explanation:
This is my guess ONLY.
make your own dish pantry package potluck portfolio
Answers
Answer:
huh??
Step-by-step explanation:
In figure BC = CA and ∠A = 40°. Then ∠ACD is...
a)40° b) 80° c) 120° d) 60°
Answers
Answer:
B
Step-by-step explanation:
The size of the exterior angle in a triangle is the sum of interior opposite angles. In this case, it's
Angle ACD=40+40=80° (Exterior angle=sum of int. opp. angles)
Answer:
b. 80°
Step-by-step explanation:
B is 40°
A triangle has 180°
40 + 40 + x = 180
80 + x = 180
x = 100
Since it's a supplementary angle...
180 - 100 = 80
Find the slope of this line
Answers
Answer:
0
Step-by-step explanation:
We can use the two points given, which are (-4, -2) and (3, -2), to solve for the slope and answer the question. We have to subtract the y-values and then subtract the x-values. Those differences, divided, give us our slope, as shown below:
[tex]\frac{-2-(-2)}{-4-3} =\frac{-2+2}{-4-3} =\frac{0}{-7} =0[/tex]
So, the slope is 0. If you have any more questions on finding slope, or found what I just did confusing, let me know so I can help you! :)
A box has 11 marbles, 3 of which are white and 8 of which are red. A sample of 4 marbles are selected randomly from the box without replacement. What is the probability that exactly 2 are white and 2 are red
Answers
14/99
Select 1 marble; the chance that it is white is 4/12. Select a 2nd marble; the chance that it is white is 3/11. Select a 3rd; the chance it is white is 2/10. Select a 4th; the chance it is red is 8/9. Select a 5th; the chance it is red is 7/8. The chance of getting this specific set of 5 marbles in this order is (4/12)×(3/11)×(2/10)×(8/9)×(7/8)=(2×7)/(11×10×9).
This specific set could occur in the permutation of 5 things taken 5 at a time where 3 are identical (white), and the other 2 are also identical (red). The formula for this is 5!/(3!2!)=10.
Combining the chance of getting white, white, white, red, red with the number of ways 3 white and 2 red could have been distributed in the draw of 5 marbles gives the answer:
{(2×7)/(11×10×9)}×10=14/99
A similar process will show that the chance of getting 5 red marbles is 7/99; 4 white and 1 red is 1/99; 2 white and 3 red is 42/99; and 1 white and 4 red is 35/99.
A corporation earned its profit of 2.5x10^4 for 1x10^3 days in a row. What was the corporation's total profit during this time?
Answers
Answer:
$2.6 x 10^4
Step-by-step explanation:
Plz help me with this one
Answers
Answer:
5/6
Step-by-step explanation:
-5x-3=-9
Add 3 to both sides.
-5x=-6
Divide both sides by -5.
x=5/6
+3 +3
———————-
-5x = -6
—— ——
-5 -5
x = 1.2
x = 6/5
help me urgent thankyouu
Answers
Answer:
The answer is B.
Step-by-step explanation:
0.0605
help me pleaseeeeee!!!!!!
Answers
Answer:
A' (1, -1) B' (4, -5) C' (6, -2)
Step-by-step explanation:
Since you're reflecting over the x (horizontal) axis, the y value has to change to show the height is increasing or decreasing (Decreasing in this case).
A (1, 1) --> A' (1, -1) So (x,y) becomes (x,-y)
Hope this helps!