Find the sum of the first 33 terms of the following series, to the nearest
integer.
2,8, 14, ...
Answers
Answer:
3234
Step-by-step explanation:
The series is arithmetic with a common difference = d = 6
First we need to find the 33rd term. Use the formula [tex]a_{n} = a_{1} + (n - 1)d[/tex] where n = 33 and [tex]a_{1} = 2[/tex]
[tex]a_{33} = 2 + (33 - 1)6 = 2 + 32(6) = 194[/tex]
Now the formula for the sum of an arithmetic series is [tex]S_{n} = \frac{n(a_{1} + a_{n} )}{2}[/tex]
So, [tex]S_{33} = \frac{33(2 + 194)}{2}[/tex]
= [tex]\frac{33(196)}{2}[/tex]
= 3234
Related Questions
What is the equation of the line that passes through the point (5, – 7) and
has a slope of o?
Answers
Answer:
The answer is
[tex]y = - 7[/tex]
Answer:
y = -7
Step-by-step explanation:
Hey :)
y = mx + b
*m is equal to the slope...
y = (0)x + b
Plug in the point you have...
-7 = (0) (5) + b
-7 = 0 + b
-7 = b
y = (0)x - 7
y = -7
Ignore the (0)x because anything multiplied by 0 is 0 so there's no point in having 0x in your equation.
Answer: y = -7
Hope this helps :)
Alan has read 10% of a book. He has 81 more pages to finish. How many pages are there in the book?
Answers
Answer:
90
Step-by-step explanation:
100%-10%=90%
90%->81
10%->9
100%->9+81=90
ME RESULVEN ESTO POR FA
6 -1
-3 -1
9+3
-3. -7
2.8
-5.+3
-10:-5
18: -3
-9 : 9
Answers
Answer:
1) 5
2) -4
3) 12
4) -10
5) 2.8
6)-2
7) 2
8) -6
9) -1
-30÷5=
bunun cevabı 6 mı??
Answers
Answer:
-6
Step-by-step explanation:
-30÷5=-6
this is the ans
Roberto is dividing his baseball cards equally between himself, his brother, and his 3 friends. Roberto was left with 9 cards. How many cards did Roberto give away? Write and solve an equation to solve the problem.
PLZZZ HELP MEE ILL GIVE BRAINLIEST AND 50 POINTS!!!
Answers
Answer:
The answer would be 45.
Step-by-step explanation:
5*9=45
Answer:
45
Step-by-step explanation:
First we count how many people he split it between which is 5 and we have to remember the key word here is equal so if he was left with 9 then everybody else did as well. so we multiply 5 times 9 which is 45
The ratio of male to female students in a junior high
school is 13:17. Find the total population of the
school if there are 715 male students.
plsss.......answer
Answers
the total no of population=1650
13:17 first add the two numbers 13+17=30
then 13/30×y =715 , i make 13 at the numerator because it's males ratio
after that 30/13×13/30y =715 ×30/13
y =715×30/13
y =1650
after u find the total no it's simple to find the no of females
17/30×1650=935
Need answer PLS will give brainiest
Answers
Answer:
n=-6
Step-by-step explanation:
Need help on this please help
Answers
Answer:
204
Step-by-step explanation:
The area of the top triangle = 5*12/2 = 30
The area of the bottom triangle = 30
The hypotenuse of the top triangle is
5^2 + 12^2 = hypotenuse^2
25 + 144 = hypotenuse^2
169 = hypotenuse squared.
hypotenuse = sqrt(169)
hypotenuse = 13
Now the back face = 13 * 8 = 104
The area of the left side rectangular face = 5*8 = 40
The total area = 30 + 30 + 104 + 40 = 204
Which equation is a related fact to 60 ÷ 10 = ∎? A) ∎ = 10 × 60 B) ∎ × 10 = 60 C) 10 = ∎ × 60 Please help me.
Answers
Answer:
Hey! here is the answer!
Step-by-step explanation:
C! 10 = ∎ × 60
i know this becuase i did the equation in reverse, then used my calculator to make sure all the numbers added up.
Answer: B)
Step-by-step explanation:
First we need to find the value of the black sqaure. The value of the black square is 6 because 60 / 10 = 6. A) cannot be the answer because 6 does not equal 60. C) cannot be the answer because 10 does not equal 360. The only answer can be B) because 6 x 10 does equal 60.
Is Janelle correct? Yes, because the lines are not parallel. Yes, because the lines will intersect. No, because the lines are in the same plane. No, because the lines are perpendicular.
Answers
Answer:
Step-by-step explanation:
No, because the lines are in the same plane.
Hits 2) How many solutions does the inequality have?
A) 0
B) 1
C) 8
D) infinitely many
Answers
9514 1404 393
Answer:
D) infinitely many
Step-by-step explanation:
There are infinitely many points on any portion of the number line. The shading on the graph indicates all numbers less than or equal to 8 are solutions. There are infinitely many such numbers.
the amusement park charges $20 to get in plus $1.50 per ride which linear equation represents this relationship y=1.5+20x,y=21.5x,y=1.5x+20,y=20x+1.5
Answers
Step-by-step explanation:
1.50 per ride tones X number of rides plus a 20 entrance fee
y= 1.5x + 20
Niccolo runs the first half of a race in 23.08 seconds and the second half of the race in 27.92 seconds. What is Niccolo's total time for the race?
Answers
Answer:
51 seconds
Step-by-step explanation:
23.08+27.92=51.00
Answer:
51 seconds
Step-by-step explanation:
Hope this helps
Write an equivalent expression. -2(7+5g)
Answers
Answer:
-2(7) + -2(5g)
Step-by-step explanation:
Using the distributive property we can confirm that:
-2(7) + -2(5g) = -2(7+5g)
Answer:
−14−10g
Step-by-step explanation:
First, solve the product:
-2 ⋅ 7 - 2 ⋅ 5g
Multiply -2 times 7 to -14.
So, the equivalent expression would be:
-14 - 2 ⋅ 5g = -14 - 10g
-14 - 10g
Solve please I don’t know how to do this.
Answers
Answer:
its 63 lol
Step-by-step explanation:
Answer:
63
Step-by-step explanation:
x/3-10=11
x/3=21
crisscross then
x=21×3
c=63
Divide.
(8x^3+ 31x^2+ 6x +40) + (2x+8)
Answers
Answer:
divide them by what?
or fivide it with eachother?
all of the benches in the park are red or blue
Answers
Answer:
There's a 50% probability of all of them being red or blue
Step-by-step explanation:
More information needed
Answer:
Are you asking a question?
Step-by-step explanation:
need help with all 3 pleaseeee
Answers
A.
D.
Hope this helps!!
A
D
Hope this helps!!
I've wasted 42 points already. Can someone PLZ just answer my Question and stop wasting my points. PLz, this is due. I need help
Answers
Step-by-step explanation:
You can put the value of x into the equation to solve for y. Hopes this works.
15. Considera um losango em que uma diagonal tem 8cm e cuja área é 12cm^2. Qual é o comprimento do lado do losango, arredondado às décimas? Nota: Indica apenas o valor numérico usando algarismos. (Não escrevas unidades de medida na resposta.)
Answers
Answer:
4,3cm
Step-by-step explanation:
Passo 1
Um losango tem 2 diagonais, cujos comprimentos não são iguais
Temos que encontrar o comprimento da segunda diagonal
A fórmula é dada como:
Área de um losango = 1/2 (d1 × d2)
Área do losango = 12 cm²
d1 = Comprimento da primeira diagonal = 8cm
d2 = Comprimento da segunda diagonal = x
12 = 1/2 (8 × x)
12 = 1/2 (8x)
12 = 4x
x = 12/4
x = 3cm
O comprimento da segunda diagonal = 3 cm
Passo 2
A fórmula do comprimento da lateral de um losango é dada como:
s = √d1² + d2² / 2
d1 = 8cm
d2 = 3 cm
s = √8² + 3² / 2
s = √64 + 9/2
s = √73 / 2
s = 8,5440037453 / 2
s = 4,2720018727 cm
Aproximadamente = 4,3 cm
Ms. Meyer washed
2/7
of her laundry. Her son washed
1/4
of it. Who washed most of the laundry? How much of the laundry still needs to be washed?
Solve this on paper. Then check your work on Zearn.
write your answer as a fraction ill mark you !
Answers
Answer:
15/28 loads of laundry needs to be washed.
Step-by-step explanation:
2/7 + 1/4
=
2 × 4 + 1 × 7
7 × 4 + 4 × 7
=
8/28 + 7/28
=
8 + 7/ 28
=
15/28
Barred owls often lay two eggs, and each resulting chick has an equal probability of being male or female. What is the probability that both chicks are male, given that at least one of them is male?
Answers
0.3 x 103
0 3 x 1025
Write the following as an ordinary number. [
(1 Point
3x10
Answers
0.3 x 1025 = 307.5
3 x 10^5 = 300,000
What’s 20, 48, and 8 as a decimal?? (I’ll give you brainlest because I’m awesome!)
Answers
Answer:
20: 0.2
48: 0.48
8: 0.667
I hope that answers your question and it's right!! :)
Answer:
0.2, .48, 8.0
Step-by-step explanation:
Cube of a binomial (a - b)
Answers
Answer:
(a - b)³ = a³ - 3a²b + 3ab² - b³Step-by-step explanation:
Cube of a binomial (a - b)
(a - b)³ = a³ - 3a²b + 3ab² - b³answer choices:
A(0 , 4)
B(-5 , -10)
C(-4 , -12)
D(12 , 0)
Answers
Answer:
C your welcome, hope you pass
Find the surface area of each prism. Show your work for full credit!
Answers
Answer:
1 15 x 9 x 14 = 1890
2 10 x 17 x 24 x 21 =85680
Step-by-step explanation:
Find the value of x:
Answers
Answer:
x = 17°
Step-by-step explanation:
2x - 4= 30° {being vertically opposite angles }
2x = 30° + 4°
2x = 34°
x = 17°
Hope it will help :)
5. Suppose you invested PHP 25,000 at a simple interest at a rate of 2.5%, how much will be your investment after
10 years? a. PHP 43,750.00
C.PHP 45,730.00
b. PHP 31,250.00
d. PHP 47,350
Answers
Answer:
b. PHP 31,250.00
Step-by-step explanation:
Simple interest = principal × rate × time
Principal = PHP 25,000
Rate = 2.5%
Time = 10 years
Simple interest = principal × rate × time
= PHP 25,000 × 2.5% × 10
= 25,000 × 0.025 × 10
= 6,250
Simple interest = PHP 6,250
Investment after 10 years = principal + simple interest
= PHP 25,000 + PHP 6,250
= PHP 31,250
Investment after 10 years = PHP 31,250
Simplify:
(4/2d^2)^3
Answers
it needs to be 20 characters long so
Answer:
Step-by-step explanation:
[tex](\frac{4}{2}d^{2})^{3} =(2d^{2})^{3}\\\\= 2^{3}*(d^{2})^{3}\\\\=8d^{2*3}\\\\= 8d^{6}\\[/tex]
Hint: [tex](a^{m})^{n}=a^{m*n}\\\\[/tex]