Step-by-step explanation:
this is clearly not a linear sequence (the terms don't have the same difference).
so, it has to be a geometric sequence.
the common ratio is r.
s2 = s1 × r
16 = 64 × r
r = 16/64 = 1/4
control :
s3 = s2×r
4 = 16 × 1/4 = 4
correct.
Common ratio is 1/4
What is geometric progression ?A geometric progression or a geometric sequence is the sequence, in which each term is varied by another by a common ratio. The next term of the sequence is produced when we multiply a constant (which is non-zero) to the preceding term. It is represented by:
a, ar, ar2, ar3, ar4, and so on.
Where a is the first term and r is the common ratio.
This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 1/4
gives the next term. In other words, [tex]a_n=a_1r^n^-^1[/tex]
Hence, common ratio r = 1/4
To learn more about the geometric progression here:
https://brainly.com/question/29657988
#SPJ7
this is long division… please help
Answer:
23.35
Step-by-step explanation:
Let f(x) = x^6( x − 8 )^7 / (x^2 +2)^2
Use logarithmic differentiation to determine the derivative.
f ' (x) =________
If
f(x) = x⁶ (x - 8)⁷ / (x² + 2)²
then taking the logarithm of both sides lets us expand the right side as
ln(f(x)) = ln(x⁶ (x - 8)⁷ / (x² + 2)²)
ln(f(x)) = ln(x⁶) + ln((x - 8)⁷) - ln((x² + 2)²)
using the property ln(ab) = ln(a) + ln(b).
We can also use the property ln(aⁿ) = n ln(a), so that
ln(f(x)) = 6 ln(x) + 7 ln(x - 8) - 2 ln(x² + 2)
Then differentiating both sides using the chain rule gives
f'(x)/f(x) = 6 x'/x + 7 (x - 8)'/(x - 8) - 2 (x² + 2)'/(x² + 2)
f'(x)/f(x) = 6 (1)/x + 7 (1)/(x - 8) - 2 (2x)/(x² + 2)
f'(x)/f(x) = 6/x + 7/(x - 8) - 4x/(x² + 2)
Solve for f'(x) :
f'(x) = (6/x + 7/(x - 8) - 4x/(x² + 2)) f(x)
and replace f(x) with the given function :
f'(x) = (6/x + 7/(x - 8) - 4x/(x² + 2)) • x⁶ (x - 8)⁷ / (x² + 2)²
We can expand the product :
f'(x) = 6 x⁵ (x - 8)⁷ / (x² + 2)²+ 7x⁶ (x - 8)⁶ / (x² + 2)² - 4x⁷ (x - 8)⁷ / (x² + 2)³
then simplify by factoring :
f'(x) = x⁵ (x - 8)⁶/(x² + 2)³ • (6 (x - 8) (x² + 2) + 7x (x² + 2) - 4x² (x - 8))
Simplify the rest :
f'(x) = x⁵ (x - 8)⁶ (9x³ - 16x² + 26x - 96)/(x² + 2)³
how do i multiply 4000x by the square root of 42
Answer:
25922.963
Step-by-step explanation:
the square root of 42 is 6.48074069841
4000*6.48074069841 is 25922.9627936
Christina has 6 pieces of candy in her lunchbox. Rachel gives Christina more pieces of candy. Now Christina has 18 pieces of candy. How many pieces of candy did Rachel give Christina?
18 - 6 = 12
When subtracting the new amount by the original amount, you will find the change or the amount that Rachel gave
18 - 6 = 12
So, Rachel gave Christina 12 pieces of candy.
Answer:
18-6=12
She gave her 12 more pieces of candy.
hope this helps.
5(x-a)=3(x+b)
Solve for x
Answer:
[tex]x=\frac{3b}{2} +\frac{5a}{2}[/tex]
Step-by-step explanation:
Answer:
Step-by-step explanation:
5(x - a) = 3(x + b)
5x - 5a = 3x + 3b
2x = 5a + 3b
x = 2.5a + 1.5b
you buy 2.3 pounds of apples for $1.43 per pound. how much do you spend
Answer:
$3.36
Step-by-step explanation:
$1.43 = 1 lbs
$1.43 + $1.43 = $2.86
$2.86 + .3 = $3.36
Find the slope. Use point-slope formula to write the equation of the line described. Simplify your equation to slope-intercept form.
Through (5,2), Perpendicular to y=-5/7x
Which statements are correct interpretations of this graph?
Select each correct answer.
a.4 boxes are filled every 3 min.
b.3 boxes are filled every 4 min.
c.1.3 boxes are filled per minute.
d.0.75 boxes are filled per minute.
A triangle has vertices at A(-3, 2), B(-1, -5) and C(4, 5). The triangle is transformed using the rule ro,o . What are the coordinates of A", B', and C?
Answer:
I thinck letter c.
Step-by-step explanation:
Because C.
The mass of 100 tins of corned beef is 34 g. What is the mass, in grams (g), of 1 tin of corned beef?
Answer:
solution
100 tins of corned beef =36 g
1 tin of corned beef = 36÷100=0.36
so, 1 tin of corned beef is 0.36 g.
x - y = 3
b) Work out the value of 2x – 2y
The average playing time of compact discs in a large collection is 35 minutes, and the standard deviation is 5 minutes.
a. What value is 1 standard deviation above the mean? 1 standard deviation below the mean? What values are 2 standard deviations away from the mean?
b. Without assuming anything about the distribution of times, at least what percentage of the times is between 25 and 45 minutes?
c. Without assuming anything about the distribution of times, what can be said about the percentage of times that are either less than 20 minutes or greater than 50 minutes?
d. Assuming that the distribution of times is approximately normal, about what percentage of times are between 25 and 45 minutes? less than 20 minutes or greater than 50 minutes? less than 20 minutes?
68% are within 30 minutes to 40 minutes, 95% are within 25 minutes to 45 minutes and 99.7% are within 20 minutes to 50 minutes
The three sigma rule states that 68% are within one standard deviation of the mean, 95% are within two standard deviation from the mean and 99.7% are within three standard deviation from the mean.
Given that μ = 35, σ = 5
68% are within one standard deviation = μ ± σ = 35 ± 5 = (30, 40)
95% are within two standard deviation = μ ± 2σ = 35 ± 2*5 = (25, 45)
99.7% are within three standard deviation = μ ± 3σ = 35 ± 3*5 = (20, 50)
`Find out more on three sigma rule at: https://brainly.com/question/25966249
When a guy says i cheated just to let the world know what does it mean?
Answer ASAP
Answer:
He says that because he thinks ur cheating for attention. When they say you 'let the whole world know' that you`re unloyal and can be with any guy, without a care, it`s an insult.
Answer:
it means that he was dating another person while already dating
Step-by-step explanation:
it like when ur dating 2 people at one time without the other person knowing
Suppose that $ 700 is invested at 5.42% compounded continuously. How much is in the account after 18 years? Round your answer to the nearest cent. Write only a number as your answer. Do not write any units.
Answer:
Hello!
This word problem uses the common equation called; [tex]A=Pe^{rt}[/tex]
A = Pe^rt
P=700
e= e
r = 0.0542
t = 18
This is what you get when you plug in the according information.
700e^(0.0542*18)
700e^0.9756
=1856.9308
We need to put this into the nearest cent.
=1856.93
Have a great day!
I hope this helps you!
13*10-20 im in a hurry
Answer: 110
Step-by-step explanation:
13*10 = 130-20 is 110
The answer: 13 × 10 - 20 = 130 - 20 = 110
OK done. Thank to me :>
If y = 6, what is the value of x given 8x + 5y = 62?
Answer:
The answer: y = 6 ⇔ x = 4
ok done. Thank to me :>
simplest form of 45/120
Answer:
3/8
Step-by-step explanation:
Answer:
3/8
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator
GCD of 45 and 120 is 15
Divide both the numerator and denominator by the GCD
45 ÷ 15
120 ÷ 15
Reduced fraction:
3
8
Therefore, 45/120 simplified to lowest terms is 3/8.
Answer this by 4:20 EST and I will mark brainliest
Answer:
A
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (6, a ) and (x₂, y₂ ) = (9, - 4 )
m = [tex]\frac{-4-a}{9-6}[/tex] = [tex]\frac{-4-a}{3}[/tex]
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
2x - 3y = 6 ( subtract 2x from both sides )
- 3y = - 2x + 6 ( divide through by - 3 )
y = [tex]\frac{2}{3}[/tex] x - 2 ← in slope- intercept form
with slope m = [tex]\frac{2}{3}[/tex]
Parallel lines have equal slopes , then
[tex]\frac{-4-a}{3}[/tex] = [tex]\frac{2}{3}[/tex] , so
- 4 - a = 2 ( add 4 to both sides )
-a = 6 ( multiply both sides by - 1 )
a = - 6 → A
Given the function defined in the table below, find the average rate of change, in
simplest form, of the function over the interval 4 < x < 7.
f(x)
3
5
4.
9
5
15
6
23
7
33
Answer:
Submit Answer
attempt 2 out of 2
Answer:
8
Step-by-step explanation:
It appears your table includes points (4, 9) and (7, 33). The average rate of change on the interval is the slope of the line between these two points:
m = (y2 -y1)/(x2 -x1)
m = (33 -9)/(7 -4) = 24/3 = 8
The average rate of change is 8.
50 POINTS!!!
Which is the graph of linear inequality x - 2y = -12?
A phone company is offering several different prepaid data plans.
Prepaid Single Phone Plan Prepaid Family Plan
$30 for 1 GB $30 for 1 GB
$35 for 6 GB $40 for 6 GB
$45 for 16 GB $50 for 16 GB
$65 for Unlimited Data $70 for Unlimited Data
in hillary's garden, she has 5 variety of snake plants and 15 variety of orchids. what is the ratio of snake plants to orchids?
Answer:
1:3
Step-by-step explanation:
She has 1 snake plant for every 3 orchids.
you have to solve for X
Answer:
x = 5/8Step-by-step explanation:
(1/2) / 4 = x / 51 / 8 = x / 5x = 5 / 8Done
please help me! i will go ahead and give brainliest!
Answer:
[tex]6w - 60[/tex]
Step-by-step explanation:
Step 1: Distribute
[tex]6(w - 10)[/tex]
[tex](6*w) + (6*(-10))[/tex]
[tex]6w + (-60)[/tex]
[tex]6w - 60[/tex]
Answer: [tex]6w - 60[/tex]
how long did it take for Car A to travel 10 meters
Answer:
isnt it 5 seconds?
its quite blurry but i think its 5
It took car A five seconds to travel 10 meters. The 5 on the x-axis aligns with the 10 meters on the y-axis.
someone help me with this it’s literally easy but i’m still having a hard time to do it
Answer:
m2= 83 m1=97 m4=83
Step-by-step explanation:
m3 and m1 are corresponding by being verticle so they're the same
m3 and m2 are supple whcih mean they add to 180, so subtract 180-97 which is 83.
m2 and m4 are corresponding by being verticle so they're the same
Find the difference between the lengths of the longest and shortest sides of a rectangle if its area is 924 square milimetres and its perimeter is 122 milimetres.
Length =l
Height = h
Area function = l * h = 924
Perimeter function = 2i + 2h = 122
Divide by 2
I + h = 61.
Plug in I or h for the other variable
I * (61 - I) = 924
61i - i^2 = 924
Factor the function
(-I + 28)(I - 33) = 0
l = 33 as l cannot be negative
61 - 33 = 28
h = 28
Difference between h and l is 33-28=5
Does (–1, 2) make the equation y = x + 9 true?
Answer:
(-1, 2) does not make the equation y=x+9 true.
Step-by-step explanation:
y=x+9
(-1, 2)=(x, y)
2=(-1)+9,
-1+9=8,
2 does not equal to 8.
Answer: No.
the elevation of the salton sea in california is 66 meters below sea level. which integer best represents this elevaton in meters?
please help
Answer:
-66
Step-by-step explanation:
If we use 0 as the centre of all numbers, and another number is 66 below this baseline, we could say that it is -66 meters above sea level, or 66 meters below sea level.
PLZ SOLVE THE PROBLEM
Answer:
[tex]-2\frac{1}{2}[/tex]
Step-by-step explanation:
→ Minus the 2 numbers from each other
[tex]-1\frac{1}{5} -1\frac{3}{10}[/tex]
→ Find the LCM
[tex]-1\frac{2}{10} -1\frac{3}{10}[/tex]
→ Simplify
[tex]-2\frac{5}{10} =-2\frac{1}{2}[/tex]