What is the nth term of this sequence 12 22 32 42 52
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A spherical balloon has a circumference of 21 cm. What is the approximate surface area of the balloon to the nearest square inch?
b. 3
c. 4
d. 5
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Answer:
The correct option is D) 5.
Step-by-step explanation:
Consider the provided number 8.1000.
The numbers that contribute to the significance of the total number value are significant figures.
Rules of significant digit:
1) Non-zero digits are significant.
2) If the zeros is in between non-zero digits then it will be significant.
3) If the zeros are leading then they are not significant.
4) If the zeros are at the right of the last non zero digit then they are significant (Trailing Zero).
Now consider the number 8.1000
Since 8, and 1 are non zero digit so they are significant. Here the last three zero is also a significant digit because it follows the 4th rule.
Hence, the number has 5 significant digit.
Thus, the correct option is D) 5.
Answers
Answer:
Step-by-step explanation:
you could spilt a pie into 5 pieces and give someone 2. then you gave them 2/5 of a pie.
Answers
Answer:
sum = 900
Step-by-step explanation:
The sum of all odd number can be solved using arithmetic progression formula.
Odd numbers are numbers that cannot be exactly divided by 2 .That means odd number have remainder when divide by 2.
The first odd number is 1
The second is 3
The sequence goes like this
1, 3, 5, 7, 9, 11, 13, 15, 17, 19 , 21 .................................59
a = 1
d = 2
where
a = first term
d = common difference
let us find the number of terms before finding the sum
nth term = a + (n - 1)d
59 = 1 + (n - 1)2
59 = 1 + 2n - 2
59 + 2 - 1 = 2n
60 = 2n
n = 60/2
n = 30
Sum = n/2(a+L)
where L = last term
sum = 30/2(1 + 59)
sum = 15(60)
sum = 900
An = 1 + 2(n-1) ; A1 = 1
sum to n terms
Sn = (An + A1)n/2 ;
An=59, n = 29
Answers
The co-ordinate points of B is (3,1)
What is midpoint in a line ?
A midpoint in a given line segment divides the line segment in two equal parts.
In the given question
AB is a line segment.
Point A has co-ordinates (-1,5) and midpoint M has co-ordinates (1,3).
Assuming point B has co-ordinates (x,y)
We know midpoint formula is give by
M of x = (x₁ + x₂)/2 and M of y = (y₁ + y₂)/2
∴ 1 = (-1 + x₂)/2
2 = - 1 +x₂
x₂ = 3
And
3 = ( 5 + y₂)/2
6 = 5 + y₂
y₂ = 1
So the co-ordinate points of B(x₂,y₂) = (3,1)
Learn more about midpoints here :
#SPJ2
Answer:
(3,1)
Step-by-step explanation:
let B be (x,y)
m(1,3)=midpoint
A(-1,5)=(x1,y1)
B(x,y)=(x2,y2)
(1,3)= x1+x2/2 y1+y2/2
(1,3)= -1+x/2 5+y/2
so,
-1+x/2=1 5+y/2=3
-1+x=2 5+y=6
x=3 y=1
therefore the co ordinates of B(x,y) are (3,1)
B. 7/3
C. 10
D. 21
Answers
Answer:
D. 21
Step-by-step explanation:
The equation tells you xy = k. Substituting the given values, you get ...
7·3 = k
21 = k
Answer:
D) 21
Step-by-step explanation:
The given inverse variation equation is x.y = k, where k is the constant of proportionality.
Given: x = 7 and y = 3.
We need to find the constant variation, k.
To find the constant variation, k, plug in x = 7 and y = 3 in the given equation and simplify.
k = 7*3
k = 21.
Therefore, the constant of variation k = 21.
Answer is D) 21.
b)–x3 + x2
c)–x3 + x2 – 1
d)x3 – x2 + 1
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Answer: C.
Step-by-step explanation:
Given Functions :
The expression equivalent to (u/v) (x) will be equivalent to , since polynomials allows division.
Hence,
Answer C if x≠0
(x^5-x^4+x²)/(-x²)=-x²(x^3-x²+1)/x²=-(x^3-x²+1)=-x^3+x²-1