Answer:
a₆ = 243
Step-by-step explanation:
there is a common ratio between consecutive terms , that is
3 ÷ 1 = 9 ÷ 3 = 27 ÷ 9 = 3
this indicates the sequence is geometric with nth term
[tex]a_{n}[/tex] = a₁ × [tex]r^{n-1}[/tex]
where a₁ is the first term and r the common ratio
here a₁ = 1 and r = 3 , then
a₆ = 1 × [tex]3^{5}[/tex] = 243
243
Solution:We have a geometric sequence here, meaning that we use multiplication/division in order to get to the next term.In this case, we multiply each term by 3.1 times 3 is 3, 3 times 3 is 9, 9 times 3 is 27...In order to find the sixth term, we should take the fifth term and multiply it by 3.In order to find the fifth term, we need to take the fourth term and multiply it by 3.Multiply:81So the fifth term of this sequence is 81.Now, multiply 81 times 3:243Therefore, the sixth term in this sequence is equal to 243.Hope it helps.
Do comment if you have any query.
Hi! Just wondering if you could check if i got this right?
Answer:
Step-by-step explanation:
the answer is x = 24
3/4x+4=22
3x/4+4=22
3x/4+4=22
3x/4+4x4/4=22
3x/4+4x4/4=22
3x+4x4/4=22
x=24
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
The volume of a cylinder is 48n cubic feet. The
area of the base is 121 square feet.
What is the height of the cylinder?
Answer:
1.25 feet to the nearest hundredth.
Step-by-step explanation:
Voilume = π r^2 h
Here V = 48π , and area of the base = π r^2 = 121.
So 48π = 121h
h = 48π / 121
= 1.25 feet to the nearest hundredth.
Find the surface area of the Prism, will mark BRAINLIEST if correct
Answer:
2490
Step-by-step explanation:
Individually find the area of each side of the shape then add all values
*please show your work *
Find the volume of the rectangular prism in cubic yards.
《V = lwh》
2 feet
5 feet
8 feet
Answer:
V = 80
Step-by-step explanation:
V = lwh
V = 8(5)(2)
V = 40(2)
V= 80
HELP ME OUT PLS!!!!!!!
1) Why was the narrator surprised when she walked to the carnival?
A) She heard noises coming from the park.
B) She saw shadows on the walls of the tent.
C) The moonlight lit up the streets in the town.
D) It seemed as if she was alone on the streets.
I need help with this question step by step
Z-scores are used to determine the probability of data. The z-score for the given parameters in normal distribution is -6.35
How to calculate z-score for a normal distribution?
The formula given to calculate the z-score is expressed as:
[tex]z = \dfrac{x-\mu}{\frac{\sigma}{\sqrt{n}} }[/tex]
Given the following parameters:
Mu = 1.36
n = 28
[tex]\sigma = 5[/tex]
Mean = 130
Substitute into the formula
[tex]z = \dfrac{130-136}{\frac{5}{\sqrt{28}} }\\ x = \frac{-6}{0.9449} \\z = -6.35[/tex]
Hence the z-score for the given parameters in normal distribution is -6.35
Learn more on z-score here: https://brainly.com/question/25638875
solve the right triangle (all sides and angles) please help!!!
helpppp: Find the area of the figure.
Step-by-step explanation:
in such cases we always try to split the complex figure into non-overlapping simple figures, calculate their areas and add them up.
what simple figures can we see here ?
I see a rectangle 80m × 130m.
and that leaves for me a right-angled triangle in the upper right corner with the legs of
250-80 = 170 m and 130-50 = 80 m
the area of a rectangle is
length × width
the area of a right-angled triangle is
leg1 × leg2 / 2
the individual areas are
80×130 = 10,400 m²
170×80/2 = 170×40 = 6,800 m²
and that gives us a total for the whole area
10400 + 6800 = 17,200 m²
Which one has the same volume
Answer:
u should've cropped out ur name
Step-by-step explanation:
The equation that defines 'x' as a function of 'y' will be x = 5 - 3y. Then the correct option is A.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
Let's check all the options, then we have
A. x = 5 - 3y, the independent variable is 'y' and the dependent variable is 'x'.
B. y = 0x + 5, the independent variable is 'x' and the dependent variable is 'y'.
C. x² + y² = 2, it is not a function because the number of values of 'x' and 'y' will be two.
D. x² = y, it is not a function because the number of values of 'x' will be two.
The equation that defines 'x' as a function of 'y' will be x = 5 - 3y. Then the correct option is A.
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ7
which expressions are equivalent to the expression (x-y) 5/8 - 1/4x +y? answers: 3/8x + 3/8y, 3/8x + 1 5/8y, 5/8x - y - 1/4x + y, 5/8x - 5/8y - 1/4x + y, 5/8x - 1/4x + y - 5/8y
Answer:
(a) 3/8x +3/8y
(d) 5/8x -5/8y -1/4x +y
(e) 5/8x - 1/4x + y - 5/8y
Step-by-step explanation:
An equivalent expression can be found by simplifying the given expression, removing parentheses and combining like terms.
__
(x -y)(5/8) -1/4x +y
= 5/8x -5/8y -1/4x +y . . . . . use distributive property
= 5/8x -1/4y +y -5/8y . . . . . . reorder terms
= (5/8 -1/4)x +(1 -5/8)y . . . . . group like terms
= 3/8x +3/8y
y+(-3)²+6(-3)+5
y= -4
I am not sure how they got -4 as the answer.
PEMDAS - parentheses exponents multiplication division addition subtraction
Hope it helps!
Any queries - comment!
PS I'll edit in a min, please wait :)
which part of the cell makes proteins?
a) chromosomes
b) ribosomes
c) lysosomes
d) mitochondrion
Which of the following is the correct factorization of the polynomial below?
2x^2 - 12x + 18
A. 2(x - 3)^2
B. 2(x + 6)(x + 3)
C. (2x + 6)(x + 3)
D. The polynomial is irreducible.
Sara is packing for vacation. She is taking three shirts: yellow (Y), white (W), , and green (G). She is also taking a pair of jeans (J), a pair of black pants , and a pair of shorts (S). For shoes, she is packing tennis shoes (T) and a pair of dress shoes (D). Each outfit will be made of shirt, pair of pants, and pair of shoes. Which list shows all possible outfits that Sara can create from these options?A. YJ,YB,YS,WJ,WB,WS,GJ,GB GS,TDB. YJ,YB,YS,YT,YD,WJ,WB,WS,WT,WD,GJ,GB,GS,GT,GDC. YBT,YBD,YST,YSD,WBT,WBD,WST,WSD,GBT,GBD,GST,GSDD. YJT,YJD,YBT,YBD,YST,YSD,WJT,WJD,WBT,WBD,WST,WSD,GJT,GJD,GBT,GBD,GST, GSD
Last Friday Trevon had $29. Over the weekend he received some money for cleaning the attic. He now has $41. Write an algebraic equation to represent how much money he received
Answer:
x + 29 = 41
Step-by-step explanation:
Trevon received some money, but we don't know how much, so we will represent that with x.
The money he received will be add the amount he had last friday, $29.
The equation will equal his current amount, $41.
I NEED HELP LOOK AT THE PICTURE PLEASE
Select all of the numbers that round to 5.1 when rounded to the nearest tenth.
A. 5.0
B. 5.01
C. 5.016
D. 5.099
E. 5.13
F. 05.17
Answer:
D and E
Step-by-step explanation:
Every day, the Lee Pet Store uses 1/3 of a bag of dog food to feed the dogs. How many days
will 1 1/3 bags of dog food last?
cumulated Depreciation and Fees Earned would be sorted to which respective columns in completing a work
eet?
ect one:
. a. Balance Sheet and Statement of Owner's Equity-Credit; and Income Statement-Credit.
b. Balance Sheet and Statement of Owner's Equity-Debit; and Income Statement-Debit.
c. Income Statement-Debit and Income Statement-Credit.
d. Balance Sheet and Statement of Owner's Equity-Debit; and Balance Sheet and Statement of Owner's Equity-
Credit.
e. Balance Sheet and Statement of Owner's Equity-Debit; and Income Statement-Credit.
Accumulated Depreciation and Fees Earned would be sorted into Balance Sheet and Statement of Owner's Equity-Debit; and Income Statement-Credit.
What is an accumulated depreciation?Accumulated depreciation is the accumulation of an asset's depreciation through a specific point in its lifetime. It is a contra asset account, which means that its proper balance is a credit that decreases the asset's overall value.
A corporation debits depreciation expenditures and credits accumulated depreciation when accounting for depreciation in the general ledger.
On the balance sheet, accumulated depreciation is recorded and shown underneath the line for associated capitalized assets.
Therefore, we can conclude that Accumulated Depreciation and Fees Earned would be sorted into the Balance Sheet.
Learn more about accumulated depreciation here:
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what is 90x40+50-20x45=20-15(34)-(20)+
Answer:
2750=-510
Step-by-step explanation:
hope this helps ._.
x^2+6x+8÷x^2-16 simplify
Answer:
The answer is in the file below, I wasn't able to make it in text form.
Go Q 7x12 7
what is it?
Answer:
7*12= 84
Step-by-step explanation:
Hope this helps.
PLSSSS ANSWER THIS QUESTION FAST
WILL MARK BRAINLIEST
19/12
==========================================================
Explanation:
Use the triangle inequality theorem to set up these three inequalities
AB+BC > ACAB+AC > BCAC+BC > ABIf you were to apply substitution and solve for x, then you'd get these solutions in the order presented shown above
x < 11/2x > 3/4x > -3/4We'll ignore the third inequality. It's not very useful because we were already told that x > 0.
The first two inequalities combine to get 3/4 < x < 11/2
This is the range of possible x values so that triangle ABC is possible.
---------------
If we want angle CAB (or angle A for short) to be the largest of the triangle, then side BC must be the longest of the three sides.
The rule is: the largest angle is always opposite the longest side. This applies to triangles only.
Since BC is the longest side, this means BC > AB and BC > AC
---------------
Let's focus on the first inequality
BC > AB
x+7 > x+4
7 > 4
That's true regardless of what we pick for x. So BC is always longer than AB.
---------------
Now onto the second inequality
BC > AC
x+7 > 4x
7 > 4x-x
7 > 3x
3x < 7
x < 7/3
Now recall that we found earlier x > 3/4 or 3/4 < x
Combine 3/4 < x and x < 7/3 to get the compound inequality 3/4 < x < 7/3
---------------
Notice the middle part of that compound inequality is x and BC = x+7
If we were to add 7 to all three parts of the compound inequality, then we'll determine exactly the possible range of lengths for segment BC.
3/4 < x < 7/3
3/4+7 < x+7 < 7/3+7
3/4 + 28/4 < x+7 < 7/3 + 21/3
31/4 < x+7 < 28/3
31/4 < BC < 28/3
The length of segment BC is between 31/4 units and 28/3 units, excluding both endpoints. Those are the values of m and n in that order.
---------------
The last step is to compute n-m
n-m = (28/3) - (31/4)
n-m = (112/12) - (93/12)
n-m = (112-93)/12
n-m = 19/12 which points us to choice D.
Side note: 7/3 - 3/4 = 28/12 - 9/12 = (28-9)/12 = 19/12
Jefferson's Popcorn & Roasted Nuts Shop sells cone-shaped bags of roasted cashews, shown below. What is the volume of the bag of nuts?
The volume of the bag of nuts is the amount of nuts it can contain
The volume of the bag of nuts is 84.78 cubic inches
How to determine the volume of the bag?From the figure, we have the following parameters:
Radius, r = 3 inHeight, h = 9 inThe volume of a cone is calculated using:
V = 1/3 πr^2h
Substitute the known values
V = 1/3 * 3.14 * 3^2 * 9
Evaluate the product
V = 84.78
Hence, the volume of the bag of nuts is 84.78 cubic inches
Read more about volumes at:
https://brainly.com/question/1972490
GIVING BRAINLIEST!
2pi8^2 + 2pi8*8=?
the answer should be 150, show the steps
Answer:
256π
Step-by-step explanation:
2π(8²) + 2π(8)(8) <== exponents first
2π(64) + 2π(64) <== multiply
128π + 128π <== add
256π <== final answer
Note: 8 * 8 can also be written as 8²
Hope this helps!
Answer:
256π
Step-by-step explanation:
4π(8²) = 4π(64)= 804.2477193
804.2477193/π = 256π
Marta’s mother shared a funny video of their cat on the Internet. The total number of people who had viewed the video over the first 30 days could be modeled using the function f(x) = 33(1.3)x where x is the number of days the video has been online.About how many people had viewed the video once it had been online for 20 days? the answer is 6,271!!!
The number of people that had viewed the video that Marta’s mother shared online was 6271
How to solve an exponential function?Let f(x) represent the number of views after x days.
Given the function:
f(x) = 33(1.3)ˣ
Hence:
After 20 days, the number of views is:
f(x) = 33(1.3)²⁰ = 6271
The number of people that had viewed the video once it had been online for 20 days was 6271
Find out more on exponential function at: https://brainly.com/question/12940982
Answer:
6,271 people saw the video
Step-by-step explanation:
What is the value ofthe expression 1 2 (m-4).. when me 12 and na 3 4 OA) ? OB) 1 OC) 2 OD)
HELP ASAP
1 is the answer......
WHATS UP KID
42.
If y = x2, then y' – 2x =
A.
2x
B.
4x
C.
00
D.
01
Answer:
C. 00
Step-by-step explanation:
Using power rule....
y = x²
y' = 2x
Solving for y' - 2x......
y' - 2x
2x - 2x
0
I hope this helps!
Which expression can be simplified to the form 3\y + 3, where y is a positive integer?
Answer: Choice B) [tex]\sqrt{63}[/tex]
========================================================
Explanation:
Let's rewrite the given expression like so
[tex]3\sqrt{y+3}=\sqrt{3^2}\sqrt{y+3}\\\\3\sqrt{y+3}=\sqrt{9}\sqrt{y+3}\\\\3\sqrt{y+3}=\sqrt{9(y+3)}\\\\[/tex]
We can see that the radicand is a multiple of 9 since 9 is a factor.
This immediately rules out choices C and D because 75 and 84 are not multiples of 9.
-------------
Plug in the smallest positive integer (1) for y to get
[tex]\sqrt{9(1+3)}=\sqrt{9(4)} = \sqrt{36}\\\\[/tex]
The radicand 36 is larger than the radicand for choice A (18), meaning we can rule out choice A. There's no way to get a radicand of 18 since y = 1 is the smallest we can go for.
We can however get to 63 by using y = 4
[tex]\sqrt{9(4+3)}=\sqrt{9(7)} = \sqrt{63}\\\\[/tex]
Showing that choice B is of the form [tex]3\sqrt{y+3}[/tex] where y is a positive integer, specifically when y = 4.