If the fifth term in a geometric sequence is 1∕27 and the common ratio is 1∕3, find the explicit formula of the sequence.
Question 14 options:
A)
an = (1∕3)n – 1 for n ≥ 1
B)
an = (3) ⋅ (3)n – 1 for n ≥ 1
C)
an = (3) ⋅ (1∕3)n – 1 for n ≥ 1
D)
an = (1∕27) ⋅ (1∕3)n – 1 for n ≥ 1
Answer:
The answer is B
Step-by-step explanation:
If the movie theater seats 328 people, what is the maximum amount of money the theater can bring in during a show?
Answer:
how much money does it cost for one person??
CAN SOMEONE PLEASE HELP ME WITH QUESTIONS 2 AND 3 !!!!!!
How do I do this? Please only the best help.
Answer:
77.5 degrees and 102.5 degrees
Step-by-step explanation:
Given that : one angle is25 degrees greater than another. Let the two angles be represented by a and b. Since one angle is 25 degreess greater than another, then:
b = a + 25 degrees
But;
a + b = 180 degrees (sum of angles on a straight line)
a + a + 25 degrees = 180 degrees
2a = 180 degrees - 25 degrees
a = 77.5 degrees
b = 77.5 degrees + 25 degrees = 102.5 degrees
Therefore the measures of all angles formed by the lines is either 77.5 degrees or 102.5 degrees.
Please help find the slope!
number 4 is the slope
6. Over the long weekend, Mr. Kearns spends of his time working, of his
time sleeping, and of the remaining time exercising. The rest is for
eating. If the amount of time he eats is 6 hours, what is Mr. Kearns's total
time?
Answer:
the total time is 18 hours remaining
Supposed that m=3 (x+2)
help PLZZ FAST
4 The side lengths of a square are each 5p. By adding 1 to the length and subtracting 1 from the width, a rectangle is made. What is the area of the rectangle?
4p2-2
0 25p2 + 1
25p2 - 10p - 1
25p - 1
its 25p^2-1
Step-by-step explanation:
the two sides are (5p+1) and (5p-1) so just multiply them
3) -2x – 3y = -7
-4x + y = 21
A) (-8, 4)
C) (2, 4)
B) (-4,5)
D) No solution
Answer: B) (-4,5)
Step-by-step explanation:
Begin the problem by solving for y with the second equation. Add -4x to both sides of the equation so it reads y=4x+21. Then, substitute y into the first equation and solve. -2x-3(4x+21)=-7 turns into -14x-63=-7, which becomes -14x=56. Divide 56/-14 to get -4 for x. Since only one answer has -4 as an option for x, that's the correct answer.
50 points!
a. Use the Point-Slope form to find the equation of the line through the points (-5, 2) and (-2, 6).
b. Write the equation from part (a) above into the General as well as the slope-intercept form showing every step.
c. Find the x and y-intercepts of the equation above.
Answer:
a) y = 4/3x + 26/3
b) 4x - 3y + 26 = 0
c) x-int: (-6 1/2, 0)
y-int: (0, 8 2/3)
Step-by-step explanation:
a) to get points into the point-slope form you first find the slope by taking the difference of the y-values over the difference of the x-values;
slope (m) = (6 - 2) / (-2 - -5) = 4/3
plug 4/3 into 'm' and select one of the two points to plug in their 'x' and 'y' values so you can find 'b' (the y-intercept)
y = mx + b
6 = 4/3(-2) + b
6 = -8/3 + b
b = 6 + 8/3 = 18/3 + 8/3 or 26/3 (or 8.67)
so, put it all together to get the p-s form of y = 4/3x + 26/3
b) general equation is Ax + By + C = 0
take y = 4/3x + 26/3 and multiply each side by 3 to remove denominators
you get: 3y = 4x + 26; rearrange to get 4x - 3y + 26 = 0
c) y-intercept is (0, 8 2/3); derived during step (a)
to get x-intercept, plug zero in for 'y' and solve for 'x':
0 = 4/3x + 26/3
-4/3x = 26/3
cross-multiply and get 12x = -78
x = -78/12 or -39/6 or -6 1/2
If linda has borrowed 8 more books than susan from school library. Richard has borrowed half as many books as Linda has. If Richard has borrowed 17 books from library. How many books has susan borrowed
????????????????????????????
The number of books Susan borrowed is 30 books.
Given that
Richard borrowed 17 books.Richard borrowed half as many as Linda has, so For Linda, it should be 17 × 2 = 38 books.Linda borrowed 8 books more as compared with Susan.So, Susan should borrow books of
= 38 - 8
= 30 books
Therefore we can conclude that The number of books Susan borrowed is 30 books.
Learn more about the books here: brainly.com/question/3445384
$70.00 at 5% for 2 years
Answer:
$7
Step-by-step explanation:
Hey there
to solve this kind of problem we use the formula:
[tex]\frac{p * t * r}{100}[/tex] if we solve it :First, converting R percent to r a decimal
r = R/100 = 5%/100 = 0.05 per year,
then, solving our equation
I = 70 × 0.05 × 2 = 7
I = $ 7.00
The simple interest accumulated
on a principal of $ 70.00
at a rate of 5% per year
for 2 years is $ 7.00.
What number does 4 and 8 share in adding mixed numbers unlike denominators
Answer:commen factoers is what you need 2 4 8 16 and so on
Step-by-step explanation:
To add mixed numbers, we first add the whole numbers together, and then the fractions. ...
If the denominators of the fractions are different, then first find equivalent fractions with a common denominator before adding. ...
Subtracting mixed numbers is very similar to adding them.
A spaceship traveled 1/2 of a light-year and stopped at a space station. Then it traveled 1/12 of a light-year further to a planet. How far did the spaceship travel in all?
Answer: 7/12 a light year I believe
Step-by-step explanation:
So what you do is you make the denominators of 1/2 and 1/12 the same which would be 6/12 and 1/12.
You then add them together and you get 7/12
I am sorry if this isn't right :< this is my 1st answer :>
Solve the inequality: -3x > 15
The value of x in given equality -3x > 15 is -5.
We have given that inequality,
-3x > 15
We have to find the value of x.
What is inequality?A statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two
Divide both sides by -3.
−3x /−3 > 15 /−3
x<−5
Therefore the value of x is -5.
To learn more about the inequality visit:
https://brainly.com/question/24372553
#SPJ2
Rectangle RSTW has diagonals RT and SW that intersect at Z. If RZ=5x+8 and SW=11x−3, find the value of x.(1 point)
x=13
x=19
x=116
x=11
Evaluate 4 ^ x for (a) x = - 2 and (b) x = 3 . Write your answers in simplest form
The value of 4ˣ for x = -2 and x = 3 is 0.0625 and 64 respectively.
What is an exponential function?The formula for an exponential function is f (x) = aˣ, where x is a variable and a is a constant that serves as the function's base and must be bigger than 0. The transcendental number e, or roughly 2.71828, is the most often used exponential function basis.
Given function 4ˣ
when x = -2
4ˣ = 4⁻²
using a⁻ⁿ = 1/aⁿ
4⁻² = 1/4² = 1/16
4⁻² = 0.0625
and x = 3
4ˣ = 4³
4³ = 4 x 4 x 4 = 64
Hence the values are 0.0625 and 64 for x = -2 and 3.
Learn more about exponential function;
https://brainly.com/question/14355665
#SPJ5
2) 8x +9y = 82
2x + 2y = 20
1/2x -5-1/3y when x =48 and y=15
what is the missing angle
Answer:
x=59deg
Step-by-step explanation:
We will use tangent to find the angle because we do not know the length of the hypotenuse.
Tan(x)=opp/adj
Tan(x)=30/18
Tan(x)~59
So the last option is correct. 59deg
Four brothers each bough two hot dogs and a bag of chips at the football concession stand if the bag of chips was $1.25 and the total was $18.20 what was the price of one hot dog
Answer:
$1.65
Step-by-step explanation:
1.25 x 4 = 5.00
18.20 - 5.00 = 13.20
13.20 / 8 = 1.65
they bought 8 hotdogs because there is 4 brothers and each ate 2 so 4 x 2 = 8
I have to use sin, cos, and tan on this problem and I'm stumped.
Answer: ahhh boohoo. Where’s the photo
Step-by-step explanation:
Ba
In which areas did Franklin Roosevelt’s programs increase the power and role of the federal government?
the economy of the U.S. and of other countries
government ownership of business and industry
the lives of citizens and religious organizations
the economy and the lives of citizens
Answer:(1) reduce border conflicts with Canada
(2) increase acceptance of minorities within the
United States
(3) encourage Germany and the Soviet Union to
resolve their differences
(4) improve relations with Latin America
Step-by-step explanation:
think its B good luck
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPP PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEE BRAINLIEST TO RIGHT ANSWER FIND X
9514 1404 393
Answer:
x = 19
Step-by-step explanation:
Corresponding sides are proportional.
full length/right segment = 36/20 = (x+5+30)/30
Multiplying by 30 gives ...
54 = x +35
19 = x . . . . . . . subtract 35
Cube 1 has a volume of 64 cubic inches and Cube 2 has a volume of 512 cubic inches. If the ratio of the surface area of Cube 1 and 2 is 1:4 what are the side lengths of Cube 1 and Cube 2? A) 4 and 26 B) 8 and 16 C) 4 and 8 D) 8 and 64
Answer:
4 and 8
Step-by-step explanation:
You don't need the surface area to find the edge length of a cube. Length of edge = ∛volume
Cube 1:
Length of each edge = ∛64 = 4 in.
Area of each face = 4² = 16 in².
Surface area = 6×16 = 96 in².
Cube 2:
Length of each edge = ∛512 = 8 in
Area of each face = 8² = 64 in²
Surface area = 6×64 = 384 in²
So the surface area is in the ratio 1:4
help loll i’m confused
11. Silvaro borrowed $89.40 from his brother. He determines that he can pay him back
in six weeks. What effect will Silvaro's repayment have on his weekly bank account?
Answer: 14.90$ weekly deduction
Step-by-step explanation:
Answer:
$14.9 deduction
Step-by-step explanation:
Silvaro borrowed $89.40 from hsi brother
Silvaro decided that he will pay him back the money in six months of allowance.
Therefore the effect of the payment in his bank account can be calculated as follows.
= $89.40/6
= $14.9
Hence the payment will have a deduction of $14.9 from his monthly bank account
Hope it helps and if it does mark me brainliest.
your height is 5ft 2 in btw i will give brainliest
Answer:
about 6
Step-by-step explanation:
a shadow is long so it kind of depends on where the sun is but what the shadow is casting off of is no actually that tall
Ally picked 25 roses. She gave away 10 roses. What percent of the roses does Ally still have?
Answer:
25%
Step-by-step explanation:
HELP! WILL GIVE BRAINLIEST!
Based on the graph, is there only one solution?
A. Yes
B. No
1 pt
1. If your job pays you $ 60,000 annually. What is your monthly salary to the nearest cent?
Since you need the monthly salary, and you are given the annual salary, use the formula
Monthly Salary = Annual Salary/12 since there are 12 months in a year ( 1 point)
O $5,000
$2,500
O $8.70
on
O None are Correct
Answer:
Hi, since their are 12 months in the year, you divide 60,000 (the annual salary), by the amount of months in the year to find the monthly salary. The answer is 5,000.