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
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
make your own dish pantry package potluck portfolio
Answers
Answer:
huh??
Step-by-step explanation:
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
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
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!
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
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 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)
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).
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)help me urgent thankyouu
Answers
Answer:
The answer is B.
Step-by-step explanation:
0.0605
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]
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.
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.
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
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
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
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
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
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
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!
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
-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
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:
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
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
What is 3, 4, 5, 6, and 7.
Answers
4- angle addition postulate
5-?
6-?
7-
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