70 people had attended the previous year.
The geometric sequence a_ia i a, start subscript, i, end subscript is defined by the formula: a_1 = -\dfrac13a 1 =− 3 1 a, start subscript, 1, end subscript, equals, minus, start fraction, 1, divided by, 3, end fraction a_i = a_{i - 1} \cdot (-3)a i =a i−1 ⋅(−3)a, start subscript, i, end subscript, equals, a, start subscript, i, minus, 1, end subscript, dot, left parenthesis, minus, 3, right parenthesis Find the sum of the first 757575 terms in the sequence.
The sum of the first 75 terms of the sequence is -5.068*10^34
Given the following geometric sequence
[tex]a_1 = \frac{-1}{3} \\a_i = a_{i-1}*(-3)[/tex]
The sum of the nth term of the GP is expressed as;
[tex]S_n = \frac{a(1-r^n)}{1-r}[/tex]
a = -1/3
n = 75
r = a₂/a₁
a₂ = -3a₁
a₂ = -3(-1/3)
a2 = 1
r = 1/(-1/3)
r = -3
Substitute the given values in the formula;
[tex]S_n = \frac{-1/3(1-3^{75})}{1-(-3)}\\S_{75} = \frac{-1/3(3^{75}-1)}{1+3} \\S_{75} = \frac{-1/3(6.082 \times 10^{35}-1)}{4}\\S_{75} = \frac{-1/3(6.082 \times 10^{35})}{4}\\S_{75} = -0.5068 \times 10^{35}\\S_{75} = -5.068 \times 10^{34}\\[/tex]
Hence the sum of the first 75 terms is -5.068*10^34
Learn more on geometric series here: https://brainly.com/question/20548958
This graph represents a quadratic function.
What is the value of a in the function’s equation?
A. -3
B. 3
C. 2
D. -2
Answer:
3
Step-by-step explanation:
Answer:
3
Step By Step Explanation:
Took the test and did it while listening to the Halo theme. Guaranteed correct answer.
Henry wants to rent a boat and spend at most $42. The boat costs $8 per hour, and Henry has a discount coupon for $6 off. What are the possible numbers of hours Henry could rent the boat? Use t for the number of hours. Write your answer as an inequality solved for t.
Answer:
The maximum amount of hours he can rent it for is 6 Hour's
Step-by-step explanation:
Ik this couse 8x6=48 48-6= 42
what is the area of a rectangle with a length of 4 1/8 ft and a width of 2 ft
Answer:
8.25 or 8 1/4
Step-by-step explanation:
4 1/8 converted to a decimal is 4.125, multiply that by 2 and you get 8.250 (take the zero off, because you don't need it) and if you need you can convert 8.25 back to a fraction, which is 8 1/4. Hope this helps! ;)
Is this right? Im trying to finish all of my work!!
PLEASE HELP!! IM BEGGING YOU! ONLY ANSWER IF YOU KNOW AND SHOW YOUR WORK
HELP DUE IN 15 MINS! In ΔABC, AB = 6 in, BC = 11 in, AC = 9 in. In ΔXYZ, XZ = 38.5 in, XY = 31.5 in, and YZ = 21 in.
1. . Are the two triangles similar?
Answer choices for number 1Yes, the sides are all proportional or No, the sides are not proportional.??
2. What is the Scale Factor=??
Answer:
Let's verify is the corresponding sides have same ratio:
ΔABC, sides: 6, 9, 11ΔXYZ, sides: 21, 31.5, 38.5Ratios:
6/21 = 2/7 (divide by 3)9/31.5 = 2/ 7 (divide by 4.5)11/38.5 = 2/7 (divide by 5.5)The ratios are same, so the triangles are similar
Yes, the sides are all proportionalThe scale factor (ΔABC to ΔXYZ) is 2/7 (or ΔXYZ to ΔABC is 7/2 = 3.5)
The product of two consecutive natural numbers is 156. Find the numbers.
kindly explain
Answer:
Answer = -13 or 12
Step-by-step explanation:
let the two numbers be y and y+1
y(y+1)=156
y2 + y -156=0
y2 -12y+13y-156
y(y-12) +13(y-12)
(y+13) (y-12)
y+13=0
y= -13
y-12=0
y=12
If cate had 3 apples and took away 4 how many apples does she hae
3 minus 4 is -1, Kate is in debt and owes one apple.
If this is incorrect, please, don't refrain to tell me. Thank you.
If n is a positive integer, then lim n→∞ 1/n[(1/n)^2+(2/n)^2+...+((n-1)/n)^2] can be expressed as...
Answer:
you ended up having = 1/n^3[1^2+2^2+3^2...(n-1)^2]
hope this helps :')
Calcule as expressões: a) - 10 - ( - 7 + 4 - 6 ) b) - 14 - ( 7 - 6 ) + ( 8 - 5 ) c) 10 - { - 2 + [ 1 + ( + 4 ) - 8 ] } d) 25 + [ - 4 + 1 - ( - 3 + 7 ) ] e) 21 + [ - 17 + ( 19 - 4 ) + 12 ]
a) 19
b) -12
c) 15
d) 18
e) 31
¡Espero que esto te ayude! Avísame si tengo algo mal :)
I NEED HELP ASAP HELP ME WILL MARK BRAINLIST
Answer:
The answer is 55 degrees.
Step-by-step explanation:
As shown by the red box on the angle, the angle shown is a right angle and is 90 degrees. Because we know the total angle measure, we can subtract the 31 degree angle from the 90 degree angle, which leaves us with 59 degrees for the second angle. This second angle equals (x+4). We then solve for x by setting up the equation 59= x+4. Subtract 4 from both sides and you are left with 55 degrees for x.
Answer:
The answer is 55 degrees.
Step-by-step explanation:
As shown by the red box on the angle, the angle shown is a right angle and is 90 degrees. Because we know the total angle measure, we can subtract the 31 degree angle from the 90 degree angle, which leaves us with 59 degrees for the second angle. This second angle equals (x+4). We then solve for x by setting up the equation 59= x+4. Subtract 4 from both sides and you are left with 55 degrees for x.
simplify 4(x+2y)-(3x-8y)
Answer: x+16y
Step-by-step explanation:
4(x+2y)-(3x-8y)
4x+8y-3x-8y
x+16y
Rewrite in simplest terms: -8(7y-8)-3(7y-7)−8(7y−8)−3(7y−7)
Answer:
-8(7y-8)-3(7y-7)−8(7y−8)−3(7y−7)
Distribute to remove the parentheses.
Collect like terms
-154y+170
Step-by-step explanation:
el doble de un número sumado con 4 es 22
Answer:
el 9
Step-by-step explanation:
Porque 9+9=18
Entonces si los sumamos más 4:
18+4=22
el número es 9
85% of $24.80 is $____?
Answer: 21.08
Step-by-step explanation:
Turn 85 into a percent then multiply by 24.80.
0.85*24.80= 21.08
Hope this helps :)
PLEASE HELP A quadrilateral with four congruent sides and one
pair of opposite angles each measuring 60° must be
a
A. rhombus
B. rectangle
C. trapezoid
D. square
Answer:
A)Rhombus
Lollllllllll
Answer:
A
Step-by-step explanation:
Squares have 90 degree angles, not 60.
Somebody help me do any problem and as much as you want I’m just really confused.. thank you
Please can someone help with this question I’m very confused
Answer:
c) terms
Step-by-step explanation:
terms are like [tex]x[/tex]Help, I’m really bad at number lines
Answer:
Its the first oneeeeeeeee
Step-by-step explanation:
Brainlest is apprciated Have a Great dayyyyyyy
Answer:
The fourth one makes the most sense
Step-by-step explanation:
15% of what number is 4.20
Answer:
Step-by-step explanation:
Answer:
92.8
Step-by-step explanation:
Answer this question to get marked as brainliest!!!!!
Answer:
Isosceles Right Triangle
Find the area of the regular polygon.
Answer:
1. 132. .2 143
Step-by-step explanation:
DUE TODAY PLEASE HELP!!!!! (MARCH 11TH) A sailboat travels 3 miles in 1.5 hours the table below shows the distance traveled by the boat at various times complete the table.
Answer: each 0.5 hour or 30 minutes they travel 1 mile
Step-by-step explanation:
so just keep adding 1 mile each 0.5 hour
Answer:
Step-by-step explanation:
3 divided by 1.5 = 2
To fill in the answer for the distance traveled, you multiply the time by two.
Example: 0.5 x 2 = 1
1 x 2 = 2
so on and so forth
The distance from Austin, the capital of Texas, to Albany, the capital of New York, on a map is 7.4 inches. The map uses a scale in which 1 inch represents 250 miles. What is the actual distance between these two cities in miles? Show your work.
Answer/Step-by-step explanation:
Map key : 1 inch = 250 miles
The distance on map shown : 7.4 inches
So first we would set the equation up:
Map key*the distance show on the map = ???
250*7.4 = 1850
Answer: 1850 miles
solve x^2-8x-9=0 using completing the square (show the work)
Answer: x=9,-1
Step-by-step explanation:
First, we are gonna start out with finding two numbers that multiply to equal -9 and add up to equal -8
Those numbers would be -9 & 1
-9+1=-8
-9x1=-9
Now we have
(x-9)(x+1)
x-9=0 x+1=0
+9 +9 -1 -1
x=9 x=-1
Which statement is true?
Answer:
The answer is B cause all the rest is lower and negatives make the other one wrong so the answer is B hope this helps :)
Answer:
-1.2<6.9 is the statement that's true.
Explanation: - 1.2 is smaller than 6.9
Find the area of the rectangle
Step-by-step explanation:
Length (L) = 2 cm
Breadth (b) = 2 / 3 cm
Area of the rectangle
= L * b
= 2 * 2/3
= 4/3 cm²
Hope it will help :)❤
a man wanted to paint a cylinder gas tank. What amount of surface area will need to be covered if it had a radius of 14 inches and a height of 16 inches
Answer:
224
Step-by-step explanation:
in a cylinder the only sides that would actually count is the top and bottomyou would multiply the top and bottom.14 x 16 = 224if I'm wrong let me knowOn a house blueprint, 2 feet is represented by 1inch. If a room on the blueprint measures 5 inches by 6 inches, what is the area of the actual room?
Answer:
the answer is 120 feet
Step-by-step explanation: