A sequence of numbers begins with 12 and progresses geometrically. Each number is the previous number divided by 2.Which value can be used as the common ratio in an explicit formula that represents the sequence?
2
6
12
Answers
The sequence is 12, 6, 3, 3/2, 3/4 ...
You can obtain any number multiplying the previous number times 1/2.
6 = 12 *(1/2)
3 = 6*(1/2)
3/2 = 3*(1/2)
Answer:
Common ratio =
Step-by-step explanation:
A sequence that progresses geometrically has the first term as 12.
Each number is the previous number divided by 2.
so the sequence will be 12, 6, 3, 1.5...........
Explicit formula of a geometric sequence is given by
Where = nth term of the sequence
a = first term
r = common ratio
and n = number of term
In this sequence common ratio =
=
=
Therefore, common ratio will be
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In a right triangle, the length of the hypotenuse is 20 inches and the length of one leg is 15 inches. What is the length of the other leg in inches?
Answers
Answer:
The required feet of wood needed is 3.5 foot.
Step-by-step explanation:
Given : You’re building a rectangular frame 10 inches by 11 inches.
To find : How many feet of wood do you need?
Solution :
According to question,
We have to find the perimeter of the rectangle,
The perimeter of the rectangle is
The perimeter of the rectangle is 42 inches.
Which means the wood required is 42 inches.
Convert inches into feet,
1 foot = 12 inches.
1 inch = foot.
42 inches = foot.
42 inches = 3.5 foot.
Therefore, The required feet of wood needed is 3.5 foot.
P = 2l + 2w = 2(11) + 2(10) = 42 inches
P = 42 inches ( 1 ft / 12 inches ) = 3.5 feet of wood is needed for the frame
x 3(x 2 + 5x + 1)
Answers
The required product of expression x³(x² + 5x + 1) is x⁵ + 5x⁴ + x³.
What is the distributive property of a product?
The distributive property of multiplication (also known as the distributive property of product over addition) is a fundamental property of arithmetic that helps simplifyexpressions involving multiplication and addition. It states that for any three numbers a, b, and c:
a * (b + c) = a * b + a * c
Here,
We can use the distributive property of multiplication to expand the product:
x³(x² + 5x + 1) = x³x² + x³5x + x³*1
Simplifying each term, we get:
x³x² = x³⁺² = x⁵
x³5x = 5x¹⁺3 = 5x⁴
x³*1 = x³
Setting it all together, we have:
x³(x² + 5x + 1) = x⁵ + 5x⁴ + x³
Therefore, the product is x⁵ + 5x⁴ + x³.
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x (18x+15x+3)
x(33x+3)
(33x^2)+3x
Answers
Answer: 120d + 1,500 = 110d + 2,500
Step-by-step explanation:
Answer:
$1,500 + 120d = $2,500 + 110d
Step-by-step explanation:
Just in case you want the solution as well:
10d = 1000
d = 100
Answers
Answer:
Slope = 3/2, or 1.5
Step-by-step explanation:
Pick out the lattice points ( points that intersect the graph markings)
I see 2 points, ( 3, 1), and ( 5, 4)
Slope = Δy/xΔ = 4 - 1/5 - 3 = 3/2
Slope is 3/2, or 1.5
-Chetan K
You rise 3 and then go right 2
Rise over run!;D
A. 8x = 16
B. 4x = 16
C. 5x = 16
D. 5y = 16
Answers
This is my answer
Final answer:
By substituting y = 2x into the second equation and combining like terms, we get the equation 8x = 16.
Explanation:
This question is from the field of Algebra. You are asked to substitute the first equation into the second equation, then simplify by combining like terms. Substituting y = 2x from the first equation into the second equation 2x + 3y = 16, we replace y with 2x, thus transforming the second equation into 2x + 3(2x) = 16. Distributing the 3 to the 2x within the parentheses gives us 2x + 6x = 16. By combining the like terms on the left side, we get 8x = 16 which is option A.
Learn more about Algebra here:
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Answers
Because 9 plus 4 is 13 but x can't be negative so you divide my negative 1 and get x=-13
-x-4=9
you need to keep x positive so +x on both sides (because it is the opposite of minus)
-4=9+x
minus the nine on both sides (because it is the opposite of adding)
-11=x
This is the answer.
-11=x