What conjecture can you make about the sum of the first 33 positive odd numbers?
Answers
Answer:
The number series 1, 3, 5, 7, 9, . . . . , 59. Therefore, 900 is the sum of first 30 odd numbers.
The conjecture we can make is C. The sum is equal to the no. of terms squared.
According to the given question we have been asked What conjecture can you make about the sum of the first 33 positive odd natural numbers.
We know that the sum of first 'n' odd natural numbers is n².
So, the sum of first 33 odd natural numbers is (33)² which is = 1089.
Let us prove this by AP.
First term(a₁) is = 1.
common difference(d) = 2.
No. of terms (n) = 33.
∴ aₙ = a₁ + (n-1)d
aₙ = 1 + (33-1)2
aₙ = 1 + 32(2).
aₙ = 1 + 64.
aₙ = 65.
∴ S₃₃ = 33/2×[ 2(1) + (33-1)2].
S₃₃ = 33/2×[ 2 + 64].
S₃₃ = 33/2×66.
S₃₃ = 33×33.
S₃₃ = 1089.
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Related Questions
24 boys out of 64 classmates is what percent
Answers
Answer:
37.5%
Step-by-step explanation:
24÷64=0.375
with percents, you have to move the decimal 2 spaces back
so that equals 37.5%
which of the following equations represents the sequence 17,14,11,9... ?
Answers
Answer:
Subtract 3
Step-by-step explanation:
Each time the following number decreases by 3
m-18=n
This makes no sense this is my 3rd time asking this question
Answers
Answer:
m=18+n
Step-by-step explanation:
m + -18 = n simplify
-18 + m = n record the terms
-18 + 18 + m = 18 + n solve
Combine like terms: -18 + 18 = 0, 0 + m = 18 + n, m = 18 + n
Final answer: m = 18 + n
Answer:
IDK but here's what I have found.....
Step-by-step explanation:
Simplifying
m + -18 = n
Reorder the terms:
-18 + m = n
Solving
-18 + m = n
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '18' to each side of the equation.
-18 + 18 + m = 18 + n
Combine like terms: -18 + 18 = 0
0 + m = 18 + n
m = 18 + n
Simplifying
m = 18 + n
Mr brown purchased one yardstick for $5 and r rulers for $1.50 each. which of the following expressions represents Mr Browns total purchase?
a. 5(1.5r)
b. 1.5r + 5
c. 1.5r + 15
d. 5r + 1.5
Answers
Answer:
B. 1.5r + 5
Step-by-step explanation:
Because he bought 1 yardstick and r rulers so to find the total number you need to add both numbers together.
rewrite the expression using rational exponents
Answers
You spent $88 buying two shirts at Macy's along with two scarves that cost $30.00. If s is the cost of the shirt, and the equation representing the purchase is: 2s + 30.00 = 88. What is the cost of the shirt?
Answers
Answer:
58
Step-by-step explanation:
Answer:
s = 29
Step-by-step explanation:
Let's solve your equation step-by-step.
2s+30=88
Step 1: Subtract 30 from both sides.
2s+30−30=88−30
2s=58
Step 2: Divide both sides by 2.
2s
2
=
58
2
s=29
Hope this helps!
(s means shirt)
someone help me and explain this is really confusing me plzz I'll brainlist u !:)
Answers
Answer:
Ok so 25$ for an adult. there are x adults so x times 25 is equals to $25x
13 dollars per child and y children so $13y
$20 for each pensioner and p pensioners so $20p
when adding these notice that none of the variable(latters) are the same so n adding will take place leaving the answer
$25x + $13y + $20p
a) $25x
b) $13y
c) $20p
d) $25x + $13y + $20p
Answer:
a) $25x, this is because if there are x number of adults coming, and $25 is the per adult charge, then irrespective of the number of adults coming this will be the equation. Eg : x = 5 So, $25 * 5 = $125
b) $13y, this is because if there are y number of children coming, and $13 is the per child charge, then irrespective of the number of children coming this will be the equation. Eg : y = 4 So, $13 * 4 = $52
c) $20p , this is because if there are x number of pensioners coming, and $20 is the per pensioner charge, then irrespective of the number of pensioner coming this will be the equation. Eg : p = 2 So, $20 * 2 = $40
d) so, the total will be, = $25x + $13y + $20p
If my answer helped, kindly mark me as the brainliest!!
Thanks!!
helpppp me plz any help would work :)
Answers
Answer:
2d+3 dollars
Step-by-step explanation:
the second one 2d+3
In 2010, the continent of South America had a population of 395, 280, 204 Which of the following is the closest estimate of this number?
O 3 x 10^8
O 4 x 10^7
O 4 x 10^8
O 4x 10^9
Answers
Given:
The population of continent of South America in 2010 is 395, 280, 204.
To find:
The closest estimate of this number.
Solution:
We have,
[tex]Population = 395, 280, 204[/tex]
The approximate value of this number is
[tex]Population \approx 400, 000, 000[/tex]
The scientific form of this value is
[tex]Population = 4\times 10^8[/tex]
Therefore, the correct option is C.
As x > - infinity f(x) > infinity and as x > infinity f(x) > infinity
As x > -infinity f(x) > - infinity and as x > infinity f(x) — infinity
Brianlest to whoever helps
Answers
Answer:
The first one.
Step-by-step explanation:
The line has a positive slope, so as x reaches infinity, f(x) will also reach infinity, and the same with negative. Hope this helps!
HELP I NEED THE ANSWER FAST its says true or false false ( the absolute of a number can be negative
Answers
Answer:
False
Step-by-step explanation:
Answer: False
Step-by-step explanation: Absolute value is the number of whole numbers the number is away from zero. So it can only be positive because you cannot have a number negative spaces away from zero
Question 5 of 10
Which points are separated by a distance of 7 units?
O A (1,3)
O B. (5,7)
O C. (3,5)
O D. (9.4)
(24)
SUBMIT
Answers
Answer:
d
Step-by-step explanation:
cause 9-2 is 7 so your answer is d
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Answer:
A
Step-by-step explanation:
42-34=8
3/4
6/8-1/8=5/8
8+5/8= 8 5/8
Answer:
A) 8 [tex]\frac{5}{8}[/tex]
Step-by-step explanation:
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Answer:
B
Step-by-step explanation:
I need help please , it would be nice
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Answer:
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Step-by-step explanation:
Write the hypothesis and the conclusion of each conditional.
1. If 3x-7 = 32, then x = 13.
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Answer:
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Answer:
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Answer:
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Step-by-step explanation:
9y+12=75
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Which value of b would make x²+bx−20 factorable?
Answers
Answer:
x^2-bx-20
Step-by-step explanation:
"19" will be the value which make the equation "[tex]x^2+bx-20[/tex]" factorable.
The given equation is
→ [tex]x^2+bx-20[/tex]
By putting "19" in the above equation, we can solve the equation.
→ [tex]x^2+19x-20[/tex]
By applying factorization, we get
→ [tex]x^2+20x-x-20[/tex]
By taking common, we get
→ [tex]x(x+20)-1(x+20)[/tex]
→ [tex](x+20)(x-1)[/tex]
Thus the above answer is correct.
Learn more about factorization here:
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What should i do if i like my best friend ? How do u know if they like u back
Answers
Answer: If you like your best friend, you should explain to him/her that you like him/her. If you don’t want to do this, then keep a close eye on them and detect whether they like you back like if they treat you with more kindness than you usually receive.
Step-by-step explanation: Activity: Give them different topics and see if they answer in a way that is different from how they would answer someone else.
What’s greater - 2/6 or - 3/8 or is it equal
Answers
Answer:
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Step-by-step explanation:
The Smith family has a circular garden with a diameter of 22 feet. They cover the garden with mulch. The cost of the mulch is $1.25 per square foot. To the nearest dollar, how much will it cost to cover the garden with mulch?
Answers
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Step-by-step explanation:
Answer:
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giving brainlist so plzzz help
Fill in the missing numbers in these equations.
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Answers
Answer:
x=-2
Step-by-step explanation:
Divide 14 by -7, then plug in the result(-2) in place of x. Run this new equation(-7*-2=14) through your calculator to be sure it's correct.
Divide. Round to the nearest tenth if necessary. 118.5 divided by 5
Answers
Answer:
23.7
Step-by-step explanation:
Explain why when you reflect a point across the line y=x, the x−coordinate and the y−coordinate change places, and when you reflect a point across the line y = −x, the x−coordinate and the y−coordinate change places and their signs are changed.
Answers
Answer:
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Step-by-step explanation:
math help please! - ( 2/5 )
Answers
Answer:
D
Step-by-step explanation:
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Answer:
d) subtract 15 from both sides
Step-by-step explanation:
Process of elimination:
a) 2.5 and x are being multiplied, not subtracted, so (a) is wrong right off the bat.
b) you may divide 2.5 by both sides, but you want to get "x" on one side first. So you would do (b) first either.
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That leaves us, with (d), because you need to subtract 15 to isolate "x".
Maria walked 3 km west and 4 km south. Calculate how far she is from her starting point
Answers
Distance will be the hypotenuse of a right triangle.
Distance^2 = 3^2 + 4^2 = 9 + 16 = 25
Distance = 5 km
Two angles are supplementary. One measures 3x-2 and the other measures 2x+7 Find the value of x and the measure of the smaller angle.
Answers
Sum of two angles that are supplementary = 180°
Then :-
[tex]3x - 2 + 2x+ 7 = 180[/tex]
[tex]5x + 5 = 180[/tex]
[tex]5x = 180 - 5[/tex]
[tex]5x = 180 - 5[/tex]
[tex]5x = 175[/tex]
[tex]x = \frac{175}{5} [/tex]
[tex]x = 35[/tex]
Which means :-
The measure of the larger angle :-
= 35 × 3 - 2
= 105 - 2
= 103°
The measure of the smaller angle :-
= 2 × 35 + 7
= 70 + 7
= 77°Therefore , the value of x = 35 and the measure of the smaller angle = 77° .