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]
level Easy:
A football team loses 6 yards on their first play. it gains 8 yards on the next play. What is the sum of -6+8?
good luck :))
Answer:
2
Step-by-step explanation:
when you add -6 and 8 you'll get 2
What is a standard form equation of the line through (0,-3) with slope 2/5?
Answer:
-1 = -1
Step-by-step explanation:
y = mx + b
y=-3 x=0 and m=2/5
-3 = (2/5)0 + b
Since 2/5(0) is 0, b must be -3.
So the equation is y = (2/5)x - 3
Add the slope to the given point and you get (5, -1)
-1 = (2/5) 5 - 3
-1 = 2 - 3
-1 = -1
The area of a square is 300 feet. What is the side length of the square? Round to the nearest tenths place.
Answer:
17.3
Step-by-step explanation:
square root of 300 is 17.32050808
17.32050808 rounded is 17.3
Help ASAP will mark Brainly to who ever answers 1st
Answer:
Step-by-step explanation:
the bottom left is the answer. I hope this helps.
Determine the number of solutions you will have for the system: 1/3x+y=2 and 3y=6-x
One solution.
No solutions.
Infinite solutions.
Impossible to determine.
Answer:
infinity solution
solution:
-x-3y=-6
x+3y=6
Find values of x and y
Answer:
x=15
y= 21
Step-by-step explanation:
6x-11+x+5+81=180
6x+x+86-11=180
7x+75=180
-75. -75
7x=105
--- ----
7. 7
x=15
substitute the x value we just got into the following equation to find y
4y-18+y+14+6x-11=180
4y-18+y+14+6(15)-11=180
4y+y+14+79-18=180
5y+75=180
-75 -75
5y=105
---- -----
5. 5
y=21
A bird is 300 feet above sea level. If it soars downward to 135 feet above 10 points
sea level how far did it travel?
Someone plz help me :(
Answer:
should be 7 let me know if i'm wrong
(4x+2)(x-3)
Expand and simplify
[tex]\\ \sf\longmapsto (4x+2)(x-3)[/tex]
[tex]\\ \sf\longmapsto 4x(x-3)+2(x-3)[/tex]
[tex]\\ \sf\longmapsto 4x^2-12x+2x-6[/tex]
[tex]\\ \sf\longmapsto 4x^2-10x-6[/tex]
Answer:
Step-by-step explanation:
(4x + 2)(x - 3) =4x *(x -3) + 2*(x -3)
= 4x*x - 3*4x + x*2 - 3*2
= 4x² - 12x + 2x - 6 {Combine like terms}
= 4x² - 10x - 6
Find the sum by first finding the equivalent fractions so both of the fractions have common denominators.
three eighths plus seven sixteenths equals blank
Question 2 options:
thirteen sixteenths
ten twenty fourths
ten sixteenths
four sixteenths
Answer:
thirteen sixteenths
PLEASE FIND THE MEASURE OF X
Answer: 3.42
Step-by-step explanation: use trig equations. Sin 20 = x/10. Multiply both sides by 10. Sin (20) times 10 is 3.42
Answer:
x = 3.42
Step-by-step explanation:
For the 20° angle, x is the opposite leg.
10 is the hypotenuse.
sin A = opp/hyp
sin 20° = x/10
x = 10 × sin 20°
x = 3.42
How long did it take a jet to accelerate from 200 m/s to 300 m/s with a constant acceleration of 50 m/s?
It will take 2 seconds a jet to accelerate from 200 m/s to 300 m/s with a constant acceleration of 50 m/s.
What is division?One type of operation in mathematics is division. We divide the phrases or numbers into the same number of components during this operation.
Given:
A constant acceleration is of 50 meter per second.
A jet to accelerate from 200 m/s to 300 m/s.
Acceleration is 100 meters per 2 seconds.
That means,
it will take = (300 - 200)/ 50 m/s
= 2 seconds.
Therefore, it will take 2 seconds.
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solve the proportion (someone pls help)
x=6
Step-by-step explanation:
4/3=8/6
㋡
[tex]\huge\underline\mathtt\colorbox{cyan}{As SIMPLE as that}[/tex]
3. Consider the product -11 7 6/7.
(a) Determine the product by rewriting the mixed number and applying the distributive property. What is the product?
(b) Multiply the integer and mixed number by multiplying fractions. What is the product?
Answer:
Did you get the answer to this. I am struggling on this as well.
Step-by-step explanation:
PLEASE HELPPP RUNNING OUT OF TIMMEE
Two shops sell baked beans in different sized tins. Calculate the price per 1.25 kg for shop B. Give your answer in pence.
Shop A) 1.25kg for £4.85
Shop B) 250g for £0.88
Answer:
YOUR ANSWER IS SHOP B) 250g for £0.88HERE YOUR ANSWER
HOPE IT HELPS YOU
PLEASE MARK AS BRAINLIEST
BRAINLIEST
please help me ty
You can just do two questions or even just one but I would appreciate all
Answer:
Some answers for #4 I think!
a = 36
b = 90
c = 36
d = 90
e = 54
Sorry if they are wrong I tried my bestest!
PLEASE HELP (especially on B)
Any 3 T-shirts for $14.50
$3.99
$6.99
$5.99
A) Tom bought these three T-shirts at the sale price of $14.50. How much money did he save compared
to the original total price of the T-shirts?
B) What percentage of the total price did Tom save?
Find the distance between the points (6,3) and (-5,3)
Answer:
11
Step-by-step explanation:
Compare the fractions.
10\14,3\7
Enter the correct inequality in the box.
Answer:
10/14 > 3/7
Step-by-step explanation:
L.C.D of these two fractions is 14:
10/14 = 10/14
3/7 = 6/14
10 is bigger than 6.
Jim Climbed 80 mountains in 10 months. Find his climbing rate in mountains per month
Answer:
If he climbed 80 mountains in the span of 10 months then you should divide the 80 by 10 which makes it 8.. so I believe the correct answer is 8 mountains per month
Answer:
Jim climbed 8 mountains per month and 10 mountains in 1.
Step-by-step explanation:
This means that he can climb 8 times as many mountains in one year, whether that is within the next 9 months or not depends on how much time he has available to do it.
solve 3/4x-5=x
Give your answer correct to 2 decimal places
Answer:
x=1.69 or x=-0.44
Step-by-step explanation:
1) multiply both sides by 4x-5 to give 3=x(4x-5)
expand this ------>3=4x^2 - 5x
2) bring the 3 on the other side by subtracting 3
4x^2 - 5x - 3 = 0
3)use quadratic formula where a is 4, b is -5 and c is -3
[tex] \frac{ - b + or \: - \sqrt{b {}^{2} - 4ac} }{2a} [/tex]
[tex] \frac{ - ( - 5) + \sqrt{(5) {}^{2} - 4(4)( - 3)} }{2 \times 4} = \: 1.69[/tex]
[tex] \frac{ - ( - 5) - \sqrt{(5) {}^{2} - 4(4)( - 3)} }{2 \times 4} = - 0.44[/tex]
The value of x in the equation 3 / 4x - 5 = x is -20.
What is the equation?An assertion that two mathematical expressions have equal values is known as an equation. An equation simply states that two things are equal. The equal to sign, or "=," is used to indicate it.
Given:
3 / 4x - 5 = x
Solve the above equation as shown below,
x = 3 / 4x - 5
x - 3 / 4 x = -5 (Transform the variable on the left side and constant on the right side)
4x - 3x / 4 = -5
x / 4 = -5
x = 4 × (-5)
x = -20
Thus, the value of x is -20.
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What are the 3 primary ways to migrate client data to QuickBooks Online
Answer:
Use the Import Data tool. Use the Export Data tool. Enter data manually into the QuickBooks Online forms and check registers. Use the Attachments tool
Write the equation of the line in point-slope form that has slope 3 and passes through (2, -5).
Answer:
y+5=3(x-2).
Step-by-step explanation:
1) according to the condition m=3; x₁=2; y₁= -5, then
2) the required equation is y+5=3(x-2).
Question 11 options:
The area of a rectangle is 80 cm2.
The length is x – 8, and the width is x + 8.
Find the value of x, and the dimensions of the rectangle.
A = lw
Answer:
x = 12
length = 4 cm
width = 20 cm
Step-by-step explanation:
a = lw
Plug in the givens
80 = (x - 8)(x + 8)
Multiply
80 = x^2 - 64
Add 64 to both sides
144 = x^2
Take the square root of both sides
x = ±12
(The negative root is extraneous since the dimensions can not be negative)
x = 12
length = x - 8 = 4 cm
width = x + 8 = 20 cm
Represent the following on a line graph
Time Temperature o F
5: 00 AM - 40
8:00 AM - 50
11: 00 AM - 60
2: 00 PM- 60
5: 00 PM- 30
8:00 PM- 20
If you could like draw one and attach it or a online version that would be great just need it represent.
Co-ordinates will be
(5,40)(8,50)(11,60)(14,60)(17,30)(20,20)Please help asap and please no links or answering just for points!! I’m already stressed :(
Answer:
let the number be x
wo a/q we have,
4x + 5 = 7
hope this answer helps you dear! take care
what is the hcf of 18 27 and 81 by prime factorization
Answer:
9
Step-by-step explanation:
It's been a while since i've dealt with prime factors hopefully this is correct.
1. Which set of ordered pairs shows a functional relationship? *
25 points
a(4,-4) (4,4) (6,-6) (6,6)
b(3,8) (5,12) (7,17) (3,12)
c(2,6) (4,12) (6,18) (8,24)
d(3,-6) (5,-10) (3,-10) (6,-12)
Answer:
C
Step-by-step explanation:
X's go up by 2, and Y's go up by 6
Find the missing side of the right
triangle.
7
4
Х
x= [?]
Enter the number that belongs in the green box,
Step-by-step explanation:
using Pythagoras theorem,
(hypotenuse)² = (perpendicular)² + (base)²
given that, hypotenuse =x, perpendicular =7, base =4
(x)² = 7² + 4²
(x)² = 49 + 16
x = √65
Use the information given to enter an equation in standard form. (6, 10) and (5, 7) are on the line.
Answer:
y=3x - 8
Step-by-step explanation:
first find slope
10 - 7/6 - 5 = 3
Point - slope
y = 3(x-6)+10
Simplify
y = 3x-18+10
y=3x - 8