Answer:
8th term- 6,561
Step-by-step explanation:
Each term in the sequence is being multiplied by 3. For example, 3x3=9 and 9x3=27. Now, we need to continue multiplying numbers, so we can list them all here, still starting with 3.
1&2) 3x3=9
3) 9x3=27
4) 27x3=81
5) 81x3=243
6) 243x3=729
7) 729x3=2,187
8) 2,187x3=6,561
The 8th term of the geometric sequence is 6,561.
Hope this helps and have a great day! ^^
A factory makes candles. Each candle is in the shape of a triangular prism, as shown below. If the factory made 35 such candles, how much wax did the factory
use (in cubic centimeters)?
10 cm length
7cm height
6 cm width
The number of candles will be 42.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Number of candles =(total volumes used by the company)/(volume of one candle)
Volume of one candle =5cm x 2cm x 12cm=120cm^3
Number of candles =5040/120
N = 42 candles
Therefore, the number of candles will be 42.
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Justin spent 45% of his paycheck on travel expenses. If he earned $800, how much money did he spend, and how much money is left over?
Answer:
1. He spent $360
2. Amount left over = $440
Step-by-step explanation:
Let us first layout the important details in the question:
Amount earned = $800
percentage spent on travel expenses = 45% of the amount earned
45% of the amount earned
[tex]= \frac{45}{100} \times 800\\= 0.45 \times 800 = 360[/tex]
∴ Amount sent on travel = $360
To find the amount of money left over, we will simply deduct the amount spent from the total earned amount. This is done as follows:
Amount left over = Amount earned - Amount spent on travel
Amount left over = 800 - 360 = $440
∴ $440 was left over
i need to find the angle for bcd on the screen shot
Answer:
dgdgfgt4e
Step-by-step explanation:
Answer: ACE= 180 so knowing that 24 is a vertical angle to ACB we can take 24+31=55 180-55=125
Step-by-step explanation:
What type of equation is The area of a square is a function of the length of the side of the square.
Answer:
Can you post the picture pls
Step-by-step explanation:
Just help on #9 please.
I’ll give brainlylist in return!
Thank you.
Answer:
Zeroes are x = 6 and x = -4
Factored form is - ( x + 4 ) ( x - 6 )
Standard form is -x^2 + 2x +24
Step-by-step explanation:
Solve out the equation to get the standard form, then factor that equation to get the factored form. Set each factor equal to zero and solve for x to get zeroes of the function
Hopefully this helps - let me know if you have any questions!
Suppose you invest $130 a month for 5 years into an account earning 8% compounded monthly. After 5 years, you leave the money, without making additional deposits, in the account for another 25 years. How much will you have in the end?
Answer:
FV= $70,887.15
Step-by-step explanation:
First, we need to calculate the future value of the $130 deposit for 5 years:
FV= {A*[(1+i)^n-1]}/i
A= monthly deposit= $130
i= 0.08/12= 0.0067
n= 5*12= 60 months
FV= {130*[(1.0067^60) - 1]} / 0.0067
FV= $9,561.96
Now, using the following formula, the future value of the investment after 25 years:
FV= PV*(1 + i)^n
n= 25*12= 300
FV= 9,561.96*(1.0067^300)
FV= $70,887.15
A person invested $3,500 in an account growing at a rate allowing the money to double every 15 years. How long, to the nearest tenth of a year would it take for the value of the account to reach$7,700?
Answer:
30 years and a half
Step-by-step explanation:
well let's just say 3.5k x hmm 2? at an estimate and that will get us to 7000.. so in order to get to 7000 we have to wait 15 years which is 30 years and a half. From Xthermyx. A brainly user.
It would take 22.7 years for the value of the account to reach $7,700.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
Since the money in the account is doubling every 15 years.
The following equation is used to find the time it takes to reach a certain value:
t = (ln(P/F))/(ln(1+r))
where:
P = the initial investment amount
F = the future value we want to reach
r = the growth rate per period
ln = natural logarithm
t = the number of years it takes to reach F
P = $3,500
F = $7,700
r = ln(2)/15 (since the money is doubling every 15 years).
Plugging these values into the equation.
t = (ln(3500/7700)) / (ln(1+ln(2)/15))
t = ln (5/11) / ln (1 + 0.30/15)
t = 22.7
Therefore,
It would take 22.7 years for the value of the account to reach $7,700.
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If the measure of ACB is 50 degrees, what is the measure of that AOB
Answer:
100 degrees
Step-by-step explanation:
α=2θ
α=2(50)
α=100
Find the roots of the following factored quadratic equation.
y = (4x - 7) (8x +9)

Step-by-step explanation:
[tex](4x - 7)(8x + 9) \\ = 4x \: . \: 8x + 4x \: . \: 9 + ( - 7 \: . \: 8x) + ( - 7 \: . \: 9) \\ = 32 {x}^{2} + 36x + ( - 56x) + ( - 63) \\ = 32 {x }^{2} - 20x - 63[/tex]
#CMIIWIf a sphere is 120 feet in diameter what is the volume?
Help please
Answer:
120
Step-by-step explanation:
In the data set below, what is the median
HELP!!!! ITS IMPORTANT!!
Answer:
1) "Most certainly, do you like your math class?"
2) "Sometimes it is difficult but I just request extra help."
3) "For sure! As long as you keep trying, your efforts will pay off. It was nice talking to you."
-9(14d - 13e) =
*As an expression*
Answer:
−126d + 117e
Step-by-step explanation:
Give me Brainllest
Answer:
Solution given:-9(14d - 13e) =117e-126d is your answer
PLEASE HELP!!! ALL YOU HAVE TO DO IS SELECT IF IT IS POSITIVE OR NEGATIVE!
Answer:
positive is da answer hope it helps
Answer: That would be Positive (so sorry if its wrong)
Step-by-step explanation:
Consider g(x)
4x + 9
x6+1
Which statement correctly uses limits to determine the end behavior of g(x)?
Answer:
the 3rd option
Step-by-step explanation:
Answer:
the correct answer to this is C, have a wonderful day :)
Step-by-step explanation:
A car starts from rest and attains a velocity of 9km/h in 5 seconds . Calculate acceleration and the displacement covered in that time
Answer:
Acceleration is 0.5 m/s² and the distance covered is 6.25 m.
Step-by-step explanation:
Given that,
Initial speed, u = 0
Final speed, v = 9 km/h = 2.5 m/s
Time, t = 5 seconds
We need to find the acceleration and the displacement covered in that time. Acceleration = rate of change of velocity
So,
[tex]a=\dfrac{v-u}{t}\\\\a=\dfrac{2.5-0}{5}\\\\a=0.5\ m/s^2[/tex]
Distance d can be calculated using third equation of motion.
[tex]d=\dfrac{v^2-u^2}{2a}\\\\d=\dfrac{2.5^2-0^2}{2\times 0.5}\\\\d=6.25\ m[/tex]
So, acceleration is 0.5 m/s² and the distance covered is 6.25 m.
For purposes of making on-campus housing assignments, a college classifies its students as Priority A (seniors), Priority B (juniors), and Priority C (freshmen and sophomores). Of the students who choose to live on campus, 22% are seniors, 29% are juniors, and the rest are underclassmen. The most desirable dorm is the newly constructed Gold dorm, and 71% of the seniors elect to live there. 19% of the juniors also live there, along with only 5% of the freshmen and sophomores. What is the probability that a randomly selected resident of the Gold dorm is a senior? Show as much work as possible.
Answer:
The probability that a randomly selected resident of the Gold dorm is a senior is 0.1562
Step-by-step explanation:
The given percentage of each class of student is presented as follows;
Priority A (seniors) = 22%, ∴ P(s) = 0.22
Priority B (juniors) = 29%, ∴ P(j) = 0.29
Priority C (freshmen and sophomores) = (100 - 22 - 29)% = 49%, ∴ P(fs) = 0.49
The percentage of the seniors that elect to live at the Gold dorm, = 71%, ∴ P(sG) = 0.71
The percentage of the juniors that live at the Gold dorm = 19%, ∴ P(jG) = 0.19
The percentage of the freshmen and sophomores that live in the Gold dorm = 5%, ∴ P(fsG) = 0.05
The probability that a randomly selected resident of the Gold dorm is a senior = P(s∩sG) = P(s) × P(sG)
∴ P(s∩sG) = 0.22 × 0.71 = 0.1562
Therefore;
The probability that a randomly selected resident of the Gold dorm is a senior = P(s∩sG) = 0.1562.
PLEASE HELP ALL U HAVE TO DO IS SELECT IF IT IS NEGATIVE OR POSITIVE!
Answer:
Negative
Step-by-step explanation:
It just is....
Answer:
negative
Step-by-step explanation:
negative something(a) subtract by a positive(b) is still negative
Describe how to obtain the graph given
Answer:
vertical stretch by a factor of 2
Step-by-step explanation:
(x,y) -> (x,2y)
The length of a planet's orbit around a star is approximately 22,200,000 km.
It takes the planet about 1230 Earth days to complete a full orbit.
What is the planet's average speed in kmh-1 to 3sf?
Answer:
Speed = 7520 km/h
Step-by-step explanation:
Given the following data;
Distance = 22,200,000 km.
Time = 1230 Earth days
To find the average speed of the planet;
First of all, we would have to convert the time in Earth days to hours;
1 Earth day = 24 hours
1230 Earth day = x
Cross-multiplying, we have;
x = 1230 * 24
x = 29520 hours
Therefore, time = 29520 hours
Substituting into the formula, we have;
Speed = 22200000/29520
Speed = 7520.325 km/h
To 3 significant figures;
Speed = 7520 km/h
Kirito's Clothing Store buys coats for $80 and sells them for $140.
What is the percent markup on the price of the coats?
Answer:
75%
Step-by-step explanation:
80 x 0.75 = 60
80 + 60 = 140
Jenna bought some rope for a project. The rope cost $3.50 per meter. She bought 432 centimeters of ropehow much did jenn pay for the rope
Answer:
1 meter= 100 cm
432cm/100=4.32 cm
$3.50*4.32=$15.12
the total cost is: $15.12
Step-by-step explanation:
Answer:
15.12
Step-by-step explanation:
brainless will be provided if you answer this question, but please hurry.
Which table shows a set of ordered pairs that appears to lie on the graph of a linear function?
Answer:
B
Step-by-step explanation:
Answer:
The answer is C. ✋✋✋✋✋
Which of the following shapes is
considered to be a 2 dimensional
figure?
A. A cylinder
B. A cube
C. A pyramid
D. A circle
Answer:
D, Circle
Step-by-step explanation:
All the other shapes are 3D and have a volume.
what is the radius of yhe circumfrence 6.2?
Answer:
The circumference of a circle with radius 6.2 is 38.96(*)
Step-by-step explanation:
Circumference of a cicle in terms of radius:
Circumference = 2·π·r = 2·3.14·6.2 = 38.97(*)
(*) 38.96 m exactly or limited to de precision of this calculator (13 decimal places).
Note: for simplicity, the operations above were rounded to 2 decimal places and π was rounded to 3.14.
Answer:
The circumference of a circle with radius 6.2 is 38.96
Step-by-step explanation:
Circumference = 2·π·r = 2·3.14·6.2 = 38.97
I honestly need help O.o
Answer:
Its b!!!!!!
Step-by-step explanation:
GIVING BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 27pts-
Answer:
B
Step-by-step explanation:
area = pi(r)^2
a = pi (100)
Answer:
D 25π
Step-by-step explanation:
d = 10
radius is 1/2 d = 1/2(10) = 5
A = πr^2 = (5)^2π = 25π
if Speed=80Km/h and Time=2hr then Find distance in Km?
Answer:
[tex] Distance = 160km[/tex]
Step-by-step explanation:
According to the Question ,
Speed = 80km/hr Time = 2hr Distance = ?We know the formula of speed as ,
[tex]\implies Speed \times Time = Distance \\\\\implies Distance = 80km/hr \times 2hr \\\\\implies \boxed{\boxed{ Distance = 160\ km}}[/tex]
4.
What is the probability of getting a green or red, potted plant?
Red
Plants
Green
Ground
Potted
Ground
Potted
Ground
Potted
Purple
a. 24
b. 23
c. 13
d. 1/8
Answer:
b
Step-by-step explanation:
2/3 because if you look there are 3 answeres and only 2 are mentioned also if you take the number of potted to not potted and summed em up you woukd still have 2/3
Little help with my homework please...
Answer:
Part C
Step-by-step explanation:
Answer:
hey hi will you join zo om