write the first six terms of the geometric sequence with the first term 6 and common ratio 1/3
Answer:
6, 2, 2/3, 2/9, 2/27, 2/81
Step-by-step explanation:
The nth term of a geometric progression is expressed as;
Tn = ar^n-1
a is the first term
n is the number of terms
r is the common ratio
Given
a = 6
r = 1/3
when n = 1
T1 = 6(1/3)^1-1
T1 = 6(1/3)^0
T1 = 6
when n = 2
T2= 6(1/3)^2-1
T2= 6(1/3)^1
T2 = 2
when n = 3
T3 = 6(1/3)^3-1
T3= 6(1/3)^2
T3= 6 * 1/9
T3 = 2/3
when n = 4
T4 = 6(1/3)^4-1
T4= 6(1/3)^3
T4= 6 * 1/27
T4 = 2/9
when n = 5
T5 = 6(1/3)^5-1
T5= 6(1/3)^4
T5= 6 * 1/81
T5 = 2/27
when n = 6
T6 = 6(1/3)^6-1
T6= 6(1/3)^5
T6= 6 * 1/243
T6 = 2/81
Hence the first six terms are 6, 2, 2/3, 2/9, 2/27, 2/81
please help me please i really need help please
Answer:
Step-by-step explanation:
(3x+3y)=63x + -3y = 6
3x + -3y = 6
3x + -3y + 3y = 6 + 3y
3x + 0 = 6 + 3y
3x = 6 + 3y
x = 2 + y
x = 2 + y
What is the coefficient of the term 12p+9q
Answer:
The answer is 12.
Step-by-step explanation:
12 is the coefficient because it is the number multiplied by the variable p in the equation.
I hope this helps u! :D
Find the area of the composite figure.
n=7, x=4, p=0.45, find p4
Answer:
1.8
Step-by-step explanation:
All you need to do is use substitution....
p4
They gave us the value of p and it is 0.45, now we need to substitute it, into the expression to find the value
p4 = (0.45)4
0.45 * 4 = 1.8
so p4 = 1.8
Hope this helped!
Have a supercalifragilisticexpialidocious day!
I need help with this
look at picture
Complementary angles
Step-by-step explanation:
80° - x + 80° = 90° { being complementary angles }
160° - x = 90°
x = 180° - 90°
x = 70°
Lily charges $60 for 5 tutoring sessions. What is the cost PER session?
$60 divided by 5 = $12
$12 per session.
Pls mark me brainliest!
Answer:$12 per session
Step-by-step explanation: divide 60 by 5 you get 12.
Use synthetic substitution to find f(3) and f(-4) for f(x)= x^4 - 8x- 11.
Answer:
f(3)=56, f(-4)=277
Step-by-step explanation:
f(x)=x^4-8x-11
f(3)=3^4-8(3)-11=3*3*3*3-24-11=9*3*3-35=27*3-25=81-25=56
f(-4)=(-4)^4-8(-4)-11=(-4)(-4)(-4)(-4)+32-11=(16)(16)+32-11=256+32-11=288-11=277
Answer:
227
Step-by-step explanation:
In a housing project there are 180 households in which English is usually spoken, 80 in which Spanish is usually spoken, and 40 in which the language is other than English or Spanish. A researcher approaches a house at random to conduct an interview. What is the chance that the usual language in that household will NOT be English
Answer:
The chance that the usual language in that household will NOT be English = 0.4
Step-by-step explanation:
As given ,
Total households in which languages spoken is English = 180
Total households in which languages spoken is Spanish = 80
Total households in which languages spoken is other than English or Spanish = 40
So,
Total households = 180 + 80 + 40 = 300
Now,
Household in which English language is not spoken = 80 + 40 = 120
So,
The chances that the usual language in that household will NOT be English = [tex]\frac{120}{300} = \frac{12}{30} = \frac{4}{10} = 0.4[/tex]
∴ we get
The chance that the usual language in that household will NOT be English = 0.4
PLEASE HELPP!!
So frustrated does evaluate mean to find the value? So confused.
Answer:
yes it does
a. 27
b. -32
Step-by-step explanation:
a. 3 times 3 times 3 = 27
b. -2 times -2 times -2 times -2 times -2= -32
hope this helps!!
For each sequence, state if it is arithmetic, geometric, or neither.
0, 3, 8, 15, 24
Answer:
Step-by-step explanation:
0, 3, 8, 15, 24, . . .
it is arithmetic
Steve manages a skate park and he has been analyzing the attendance data. Steve finds that the number of visitors increases exponentially as the temperature increases, and this situation is represented by the function f(x) = 5x. Steve also finds a linear equation that models the number of people who leave the park early depending on the change in temperature, and it is represented by f(x) = −x + 6. The graph of the two functions is below. Find the solution to the two functions and explain what the solution represents. (10 points)
Answer:
(1, 5)Step-by-step explanation:
Both of the graphs include infinite number of points.
The solution is the common point that belongs to both of the graphs, the intersection point.
We can see it is the point (1, 5)
This is the point when the temperature change is positive 1 degree. At this point number of visitors is equal to number of those leaving the part early.
what is a bar diagram
Answer:
A bar graph shows amounts as bars of different sizes and, sometimes, of different colors. Longer bars represent larger numbers.
Hi, could someone solve this parametric system?
7х+4y – 5z = 2
3х +5y +kz = 4
X+ky +7z = k
9514 1404 393
Answer:
(x, y, z) = ((7 -2k)/(-31 +7k), (-29 +7k)/(-31 +7k), 1/(31 -7k))
Step-by-step explanation:
The system can be solved by any of your favorite methods. Treat k as you would any number.
My row reduction software says the solution is ...
(x, y, z) = ((7 -2k)/(-31 +7k), (-29 +7k)/(-31 +7k), 1/(31 -7k))
__
Clearly, k ≠ 31/7.
The augmented coefficient matrix is attached.
How many times smaller will a number become if is it decreased by 20%?
Answer:
Step-by-step explanation:
I'm unsure why my answer was deleted, randomly deleted a thoroughly explained answer.
20% is 20/100, 1/5, or 0.2
The number will decrease by a factor of 5.
Answer:1.25
Step-by-step explanation: for example 100 decreased by 20 percent is 80 so 100 divided by 80 is 1.25
You are checking a bag at the airport. Your bag weighs 16 pounds plus 2 more pounds for each souvenir you add. How many souvenirs can you add if bags can weigh no more than 50 pounds?
Answer:
16
Step-by-step explanation:
50 - 16 = 34
34 / 2 = 17
34 + 17 = 51, which is too much; so we take 1 souvenir out which would be 16.
Quick check:
34 + 16 = 50
Hope this helps!
Please help, its due soon
Old Faithful is a geyser in Yellowstone National Park that erupts according to an arithmetic sequence. The eruptions generally happen in 46 minute intervals with a constant difference of 12 minutes. Suppose that you are in the park and you know the last eruption was at 12:22 p.m. That eruption was the 4th eruption of the day. About when can you expect the geyser to erupt again? Explain.
Answer:
1:10 AM
Step-by-step explanation:
The 4th eruption of the day as at 12:22 PM. And since the time between each eruption gets 12 minutes added, the next eruption is going to happen in 48 minutes, which is at 1:10 AM. After that eruption, the time will reset and the next eruption will happen at 1:22 AM
On hot, sunny, summer days, Jane rents inner tubes by the river that runs through her town. Based on her past experience, she has assigned the following probability distribution to the number of tubes she will rent on a randomly selected day.
x 25 50 75 100 Total
P(x) .27 .33 .29 .11 1.00
Type the correct answer in each box. Use numerals instead of words.
Answer:
4 Blue chips
6 Yellow chips
10 Red chips
Imagine 20% as 2 of 10. We have 20 chips, and that's double of that. So if we have 2/10... we will have 4/20
Same with the yellow chips. Imagine 30% as 3 of 10, again double that... 6/20.
It doesn't directly say the percent of design a computer representation but we can infer that if we have 20% and 30%... that makes 50%, there is only 100 in a percent, so that means there is 50% left! We repeat the process where we envision 50% as 5 of 10, double that. Now we have 10 of 20, 50%!
solve the inequality. Graph the solution on a number line. 7<_2
f(x) =
2x2 + 4x – 3
- 22 – 5x – 2
Find f'(x) and f''(a).
f'(x) =
PENER
-
SURRETH
HER
f''(x) =
THE
9514 1404 393
Answer:
f'(x) = (-6x² -14x -23)/(x² +5x +2)²
f''(x) = (12x³ +42x² +138x +202)/(x² +5x +2)³
Step-by-step explanation:
The applicable derivative formula is ...
d(u/v) = (v·du -u·dv)/v²
__
f'(x) = ((-x² -5x -2)(4x +4) -(2x² +4x -3)(-2x -5))/(-x² -5x -2)²
f'(x) = (-4x³ -24x²-28x -8 +4x³ +18x² +14x -15)/(x² +5x +2)²
f'(x) = (-6x² -14x -23)/(x² +5x +2)²
__
Similarly, the second derivative is the derivative of f'(x).
f''(x) = ((x² +5x +2)²(-12x -14) -(-6x² -14x -23)(2(x² +5x +2)(2x +5)))/(x² +5x +2)⁴
f''(x) = ((x² +5x +2)(-12x -14) +2(6x² +14x +23)(2x +5))/(x² +5x +2)³
f''(x) = (12x³ +42x² +138x +202)/(x² +5x +2)³
A Furniture maker used 9/10 of a can of paint to paint 9 chairs. she used the same amount of paint for each chair. How many cans of paint did she use for each chair in
Answer:
The person used 1/10 (one tenth) of the can to paint one chair.
Step-by-step explanation:
If she used 9/10 of the can to paint 9 chairs using same amount with each, then for each chair she used:
9/10 divided by 9 = 9/10 * 1/9 = 1/10 of the can.
a car has a mass of 1,200 kg. what is it's acceleration when the engine exerts a force of 600 N ? (formula: F= ma)
Answer:
In this case, the mass of the car and the force exerted on it are provided as information. Therefore, the acceleration of the car is 0.5 m s−2 when its engine exerts a force of 600 N
Step-by-step explanation:
Find slope of the line if it is defined through (5,10) and (5,-6)
Answer:
Undefined
Step-by-step explanation:
The slope is undefined as both points have the same x value.
Answer:
Undefined
Step-by-step explanation:
5 , 10
5 +0 = 5 <-- 5 , -6 <-- 10 - 16 = -6
m = [tex]\frac{y}{x}[/tex]
m = [tex]\frac{-16}{0}[/tex] <-- Doesn't sense. So the slope will be undefined
lily bought a hockey stick priced at $75 but it was on sale for 25% after 10% sales tax,what is the total cost? I NEED HELPPPPPPPPPPPPPPP
A light bulb consumes 1800 watt-hour per day. How long does it take to consume 8550 watt-hours
Answer:
4 hours and 45 minutes
Step-by-step explanation:
8550 ÷ 1800 equals 4.75 which should translate into 4 hours and 45 minutes
Please help me solve
Answer:
52.3
Step-by-step explanation:
32+67+84= 183
183-(72.7 + 58)= 52.3
An office spends $375.00 per month on office supplies.
The manager wants the company to decrease office
supply costs by 16%. How much money would that save
each month?
Answer:
$51 saved.
Step-by-step explanation:
Well 12% of $425 is found by multiplying
(.12)(425) = $51 saved.
A ratio of two numbers a/b, where b is no zero
[tex]{ \large{ \red{{\green{✮}} \: \: \sf{A \: \: number \: \: in \: \: the \: \: form \: \: of \: \:{\pink{ \frac{a}{b} \: \: where \: \: b≠0 }}\: \:{\orange{ is \: \: called \: \: a }}\: \: { \blue{ \underline{ \underline{ \tt{Rational \: \: Number}.}}}}}}}}[/tex]
how to do i need help solve
Answer:
51 cm^2
Step-by-step explanation:
We need to make this into pices that we can multiply to get are, luckily we have 2 parts we can seperate.
We can divide this into 2 shapes 9 by 4, and 3 by 5. all we need to do now is 9*4 + 3*5 to get 51 cm^2