The sixth term of the sequence 13, 39, 117, ... is 243
How to determine the value of tthe 6th term?The definition of the function is given as
13, 39, 117, ...
The above definitions imply that we simply multiply 3 to the previous term to get the current term
using the above as a guide,
So, we have the following representation
an = 13(3)^(n - 1)
For the 6th term, we have
a(6) = 13(3)^(6 - 1)
Evaluate
a(6) = 243
a₃ = 9 + 3
Hence, the value of the 6th term is 243
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what is the surface area and volume of this figure? urgent!
Answer:
V=4960in^3
S.A=2116in^2
Step-by-step explanation:
36x2
1- 72in^2
5-2=3in
8x3
2- =24in^2
5-2=3in
5+3=8in
8x10
3- =80in^2
36-(10+8)=
0.5×18×8
4-=72in^2
72+24+80+721
C.S.A=248in^2
V= 248×20
=4960in^3
248x2
1- =496in^2
36x20
2- =720in^2
20×2
3- =40in^2
20×5
4- =100in^2
20×8
5- =160in^2
20×20
6- =400in^2
20×10
7- =200in^2
=496+720+40+100+160+400+200
=2116in^2
A and B are complementary. If B = 26°, what is the measure of A?
26°
154°
64°
74°
Answer:
64°
Step-by-step explanation:
When angles are complementary, they can be added together to equal 90°.
90° - 26° = 64°
The measure of angle A is 64°.
Julia starts April with a credit card balance of $300 because she was not able to make the full
payment for March.
During April, she makes the following purchases:
April 10 - $250 for groceries.
April 18 - $800 for a new phone
April 23 - $80 for a birthday present for her brother
Calculate the Average Daily Balance given that there are 30 days in April. You will need to
divide April into four sets of days.
disclaimer: I'm not 100% sure if this is correct
Answer:9.66, or 10 if you rounded it up
Step-by-step explanation:I THINK that you add 280, 800, and 80 together to get -$1160, then divide 1160 and 30 maybe. then divide your answer with 4 to get 9.66, or 10.0
I hope this helps! if not, i am deeply sorry, friend.
,SivethTheDragon
The Average Daily Balance for Julia's credit card in April is approximately $846.33.
Here, we have,
To calculate the Average Daily Balance for Julia's credit card in April, we will divide the month into four sets of days based on her purchase dates. Here's the breakdown:
Set 1: April 1 to April 9 (9 days)
The balance remains at $300 because no purchases were made during this period.
Set 2: April 10 to April 17 (8 days)
Julia makes a purchase of $250 for groceries on April 10.
Therefore, the balance for these 8 days is $300 + $250 = $550.
Set 3: April 18 to April 22 (5 days)
Julia makes a purchase of $800 for a new phone on April 18.
Therefore, the balance for these 5 days is $550 + $800 = $1350.
Set 4: April 23 to April 30 (8 days)
Julia makes a purchase of $80 for a birthday present on April 23. Therefore, the balance for these 8 days is $1350 + $80 = $1430.
To calculate the Average Daily Balance, we sum up the balances for each set of days and divide by the total number of days in April:
(9 days * $300 + 8 days * $550 + 5 days * $1350 + 8 days * $1430) / 30 days
= ($2700 + $4400 + $6750 + $11440) / 30
= $25390 / 30
= $846.33 (rounded to the nearest cent)
Therefore, the Average Daily Balance for Julia's credit card in April is approximately $846.33.
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Shana spends $18 on some almonds. She pays for the almonds with two $10 bills. How much change does Shana get back? Enter your answer in the box. $
Answer:
$2
Step-by-step explanation:
2($10)=$20
$20-$18=$2
Donetta is investing $6000 in a stock fund that is offering a constant annual interest of 5%.
The interest in investing $6000 in a stock fund that is offering a constant annual interest of 5% is $300
What is interest?
Interest is the amount of money made from investing a particular amount of money over a period of time. It is given by:
I = PRT
I is interest, P is principal, R is rate and T is period
Donetta is investing $6000 in a stock fund that is offering a constant annual interest of 5%. Hence in one year:
I = 6000 * 5% * 1 year = 6000 * 0.05 * 1 = $300
The interest in investing $6000 in a stock fund that is offering a constant annual interest of 5% is $300
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how to solve 3x - y = -1 and -3x - y= 5
Amira decides to estimate the volume of an apple by modeling it as a sphere. She measures its circumference as 43.4 cm. Find the apples's volume in cubic centimeters. Round your answer to the nearest tenth if necessary.
The formula for the circumference of a circle (or a sphere) is [tex]2\pi r\\[/tex].
The formula the volume of a sphere is [tex]\frac{4}{3}\pi r^3[/tex].
Assuming 43.4 includes the pi, we can do the equation [tex]43.4=2\pi r[/tex]
Solving the equation, we get [tex]\frac{43.4}{2\pi } =r[/tex]
Substituting r into the formua for the volume of a sphere, we get [tex]\frac{4}{3} *\pi *(\frac{43.4}{2\pi } )^3[/tex]
Solving the cube (probably with a calculator), we get [tex]\frac{4}{3} *\pi *\frac{81746.504}{8\pi ^3}[/tex]
It is a bit messy, but we can simplify further by cancelling out the pi's, which leaves us with [tex]\frac{4}{3} *\frac{81746.504}{8\pi ^2}[/tex].
With the butterfly method (or whatever you may call it), we can cancel out the 4 in the numerator and the 8 in the denominator, and multiply the 3 in the denominators.
Which gets us this: [tex]\frac{81746.504}{6\pi ^2}[/tex]
Using a calculator, we get our final answer of (about) 1380.44cm^3
This was very messy, I apologize if I did make any mistakes.
An equation is shown below: 2(7x − 3) = 9 Which of the following correctly shows the beginning steps to solve this equation? (4 points)
Answer:
The next step is: 14x - 6 = 9. The answer to this equation would be: x = 15/14.
Step-by-step explanation:
To solve this equation first you expand:
14x - 6 = 9
Then solve from there:
14x = 15
x = 15/14
Hey there!
Use the distributive property and distribute 2:
2(7x-3)=9
14x-6=9
Now, add 6 to both sides (remember the golden rule of algebra)
14x=15
divide both sides by 14
x=15/14 (improper fraction)
x=1+1/14 (mixed number)
Hope everything is clear.
Let me know if you have any questions!
#ILoveLearning
:-)
robert gets a loan from his bank.
he agrees to borrow £6000 at a fixed annual simple interest rate of 7%
he also agrees to pay the loan back over a 10-year-period.
how much money in total will ha have paid back at the end of the 10 years?
Answer:
£10200
Step-by-step explanation:
Amount borrowed (P) = £6000
Rate of interest (R) = 7%
Time (T) = 10 years
First, let us calculate the simple interest (SI) for 10 years.
Formula for simple interest is given as:
[tex]S.I.=\frac{PRT}{100}[/tex]
Plugging the values of P, R and T in the above formula, we find:
[tex]S.I.=\frac{6000(7)(10)}{100}[/tex]
S.I.= £4200
Total money paid back at the end of the 10 years
= £6000 + £4200
= £10200
What percent of the values represented in this box-and-whisker plot are between 20 and 30?
5
20
25
30
45
about 10%
about 25%
about 50%
about 75%
pls answer i will give brainliest
Answer:
10%
Step-by-step explanation:
I took the test on K12 and I know that's the answer.
For my quiz the answer is 50%
Select TRUE or FALSE for each of the statements below.
In hanger A, 2x + 5 = 16
In hanger B, y = 2400
In hanger C, 4z = 20.8 -4.4
in hanger D, w + 2/3 = 20/3 ÷ 2
Answer:
1 true
2 false
3 true
4 false
Step-by-step explanation:
Find the missing value to the nearest hundredth.
Answer:
24.62°
Step-by-step explanation:
sin^-1 (5/12)
=24.62
Answer:
24.62°
Step-by-step explanation:
sin^-1(5÷12) = 24.62°
(if you are allowed to use calculator)
what is the height of the prism?
Answer:
option 1
Step-by-step explanation:
[tex]x - 3 + \frac{7 x- 9}{ {x}^{2} - 2 } [/tex]
your required answer
Chloe is installing new windows in her house and needs to determine the amount of sealant she will need around the outside edge of each rectangular window. Each of the windows has an area of 2,160 Inches squared with a length of 60 inches. What is the perimeter of each window?
To find the width of each window, use the formula w = StartFraction A Over l EndFraction, where w represents the width, A represents the area, and l represents the length. To find the perimeter, use the formula P = 2 l + 2 w, where P represents the perimeter, l represents the length, and w represents the width.
Answer:
240
Step-by-step explanation:
because each side is 60 inches so do 60x4 and you get 240
Answer:
Option D!
Step-by-step explanation:
Hope this helps.
pls answer carefully
Answer:
The value of k = 16 and the measure of unknown angle is 48°
Step-by-step explanation:
=> 84°+48°+3k° = 180° { The sum of angles of a triangle is 180° }
=> 132°+3k° = 180°
=> 3k° = 180°-132°
=> 3k° = 48°
=> k = 48/3
=> k = 16
The measure of unknown angle is 3×k = 3×16 = 48°
The circumference of a circle is 6.28 millimeters. What is the circle's radius?
Use 3.14 for .
Answer:
Solution
Circumference=6.28
R=?
Circumference of Circle=2πr
or,6.28=2×22/7×r
or,r=0.99
Therefore, The radius is 0.99 mm2
I think it will help you.
What is the coordinate of the midpoint of AB?
Answer:
(5,4)
Step-by-step explanation:
that is directly between the two points
please solve 5/4+( -4 1/3)=?
Step-by-step explanation:
[tex] \frac{5}{4} + ( - 4 \times \frac{1}{ 3} ) \\ \\ \frac{5}{4} - \frac{4}{3} \\ \\ \\ \frac{15 - 16}{12} \\ \\ \frac{1}{12 } [/tex]
HELP SOMEONE please review the image :D
I need helppppppppppppppppppp
Answer:
See explanation
Step-by-step explanation:
look at the photo
I hope it will help you <3
Answer:
Step-by-step explanation:
*The other person that answered may be correct, but this was my way of solving the functions.
**PLS HELP ILL GIVE BRAINLIEST** Explore
Fill in each blank with a number or expression such that each row and column has the same sum.
The missing expressions to the empty blanks are 2x, 2x - 1, x - 1 and x + 3.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Sum of each row = sum of each column = x + 2 + x + 2 = 2x + 4
Hence:
a + x + 2 + 2 - x = 2x + 4
a = 2x
b + 5 - x + x = 2x + 4
b = 2x - 1
c + 5 - x + 2x = 2x + 4
c = x - 1
d + 2 + x - 1 = 2x + 4
d = x + 3
The missing expressions to the empty blanks are 2x, 2x - 1, x - 1 and x + 3.
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can you please help with this please.
Answer: The following is listed below.
Step-by-step explanation: The following pairs are below:
3 quarters (.75¢): 7 dimes and 1 nickel.9 dimes (.90¢): 3 quarters and 3 nickels.17 nickels (.85¢): 8 dimes and 1 nickel.1 dollar and 3 quarters ($1.75): 7 quarters.11 dimes ($1.10): 22 nickels.3 dimes (.30¢): 6 nickels.5 quarters ($1.25): 25 nickels.6 dimes (.60¢): 2 quarters and 1 dime.13 nickels (.65¢): 2 quarters and 3 nickels.1 dollar and 8 dimes ($1.80): 18 dimes.Now, all you have to do is do the following pairings that I listed above with a partner and you're all good to go!
Remember, 0.25¢is a quarter, 0.10¢is a dime, 0.05¢is a nickel, and 0.01¢is a penny.
Have a great day! :)
Find the area. Please help me with this problem:)
Answer:
132 square feet
Step-by-step explanation:
If you need an explanation, just ask.
Hope this helps! Pls give brainliest!
The mass of an ant is 5 x 10-3 grams. The mass of a bee is 1 x 10-¹ grams. Based on this information, how many ants equal the mass of a bee?
20 ants equals to mass of the bee if the mass of an ant is 5 x 10-3 grams and the mass of a bee is 1 x 10-¹ grams.
Ratio and proportionGIven the following parameters from the question
Mass of an ant = 5 x 10⁻³ grams
Mass of the bee = 1 * 10⁻¹ grams
Find the ratio of both masses
Ratio = 1 x10⁻¹ /5 x 10⁻³/
Ratin = 0.1/0.005
Ratio = 20
This shows that 20 ants equals to mass of the bee
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How many times more sunscreen is in Bottle B than in Bottle A? Provide
your answer using a decimal.
Using the volume of the rectangular prisms, it is found that there is 1.5 times more sunscreen in Bottle B than in Bottle A.
What is the volume of a rectangular prism?The volume of a rectangular prism of dimensions l, w and h is given by:
V = lwh.
For bottle A, we have that, in inches, l = 1, w = 2, h = 6, hence the volume in cubic inches is given by:
Va = 1 x 2 x 6 = 12 in³.
For bottle B, we have that, in inches, l = 1.5, w = 3, h = 4, hence the volume in cubic inches is given by:
Vb = 1.5 x 3 x 4 = 18 in³.
The ratio between the volumes is given by:
r = Vb/Va = 18/12 = 1.5.
Hence, there is 1.5 times more sunscreen in Bottle B than in Bottle A.
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Ben began peeling a pile of 64 potatoes
at the rate of 2 potatoes per minute. Five
minutes later Tom joined him and
peeled at the rate of 4 potatoes per
minute. When they finished, how many
potatoes had Tom peeled?
The number of potatoes peeled by Tom was 36 potatoes after peeling a pile of 64 potatoes
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Let t represent the time after Tom joined.
number of potatoes peeled by Ben = 2(5 minutes) + 2t = 2t + 10
number of potatoes peeled by Tom = 4t
Since they are 64 potatoes, hence:
2t + 10 + 4t = 64
t = 9 minutes
number of potatoes peeled by Tom = 4(9) = 36 potatoes
The number of potatoes peeled by Tom was 36 potatoes after peeling a pile of 64 potatoes
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When moving. it can often be a questionable matter to decide among moving luck companies. u haut currently charges $19.95 per day for a 10' moving truck and $0.59 per mie. imagine that another company you- haul, moves into the market anchoffes the same 10 truck for $70 per day. assume a one-day rental takes place. using systems of linear equations, anden what mileage conditions would it make make sense to choose one company over the other? o a mileage = 50.05 o b. mileage = 50 oc. mileage = 84.83 ос o d. mileage = 70 o e. mileage = 84.03 = .
Answer:
Try to multiple 0.59x to $70, divide $19,95 to whatever answer u got from 0.59 to $70 then add 84.83334 and then there's your answer
Step-by-step explanation:
Done this and got right
Complete the square to transform the expression x2 6x 5 into the form a(x − h)2 k. (x 6)2 4 (x 6)2 − 4 (x 3)2 − 4 (x 3)2 4
An equation is formed of two equal expressions. The equation x²+6x+5 into the form a(x − h)²+k is written as (x+3)²-4.
What is an equation?
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The transformation of the equation from x²+6x+5 into the form a(x − h)²+k can be done in the following steps as shown below,
1. Taking +5 on the right-hand side of the equation,
[tex]x^2+6x+5 = 0\\\\x^2+6x = -5[/tex]
2. Now if we add +9 on both sides of the equation, we will get,
[tex]x^2+6x = -5\\\\x^2+6x+9 = -5+9[/tex]
3. Now we look at the left side of the equation as the square of the binomial expression (x+3).
[tex]x^2+6x+9 = -5+9\\\\(x+3)^2 =4[/tex]
4. Taking +4 from the right side of the equation to the left side of the equation,
[tex](x+3)^2 =4\\\\(x+3)^2 -4=0[/tex]
Thus, the equation is in the form of a(x − h)²+k, where the value of a is 1, h is -3 and the value of k is -4.
Hence, the equation x²+6x+5 into the form a(x − h)²+k is written as (x+3)²-4.
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The triangles shown below must be congruent
True or false
Answer:
true is the correct answer
Step-by-step explanation:
hope it's help you
please mark me as brainlist answer
HELP PLEASE FOR NUMER 3 and 4 PLEAESE ASAP ANI WILL GIVE BRANILESS FOR THE FIRST PERSON
Wheres the ? n answers at for #3 n #4