If 5,x,y,40 are in geometrical progression, find x and y respectively.
Answers
Answer:
x = 10, y = 20
Step-by-step explanation:
Because this is a geometric sequence, we'll call the rate of change z. Because 40 is 3 terms away from 5, we can write 5 * z * z * z = 5z³ = 40.
z³ = 8 → z = 2
Now, we simply multiply 5 by 2 to get x, which is 10, and then we multiply x by 2 to get 10 * 2 = 20 for y. Hope this helps!
Final answer:
To find the values of x and y in the given geometric progression, we use the concept of a common ratio. By setting up equations based on the definition of a geometric progression, we can solve for x and y. In this case, x is 10 and y is 20.
Explanation:
To find the values of x and y in the given geometric progression, we need to identify the common ratio between the terms. In a geometric progression, each term is obtained by multiplying the previous term by the common ratio. Therefore, we have:
- 5 * r = x
- x * r = y
- y * r = 40
From the first equation, we can substitute x as 5 * r in the second equation:
5 * r * r = y
Then, we substitute y as 5 * r * r in the third equation:
5 * r * r * r = 40
Simplifying the equation, we get:
r^3 = 40/5 = 8
Taking the cube root of both sides:
r = 2
Substituting this value of r back into the equations, we find that x = 10 and y = 20.
Learn more about Geometric progression here:
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Three girls share 8 yards of fabric equally how many yards of fabric does each girl gets
What is the simplified form of the following expression? 6c^2 + 2.5d - d + 2c^2 - 3d
What is the simplified square root of 1/56?
Answers
The "order of operations" (which you learned a long time ago
if you're in high school now) says that division should be done
before addition.
So do the division: 4 ÷ 2 = 2
Now you have 6 + 2
Now do the addition: 6 + 2 = 8 .
Then you would 6+2 which would = 8
So your answer is.......8
I hope that helped:)
Answers
Answer:
10.56
Step-by-step explanation:
51°F − 32) × 5/9 = 10.56°C
Answer:
10.56°C
Step-by-step explanation:
Hope this helps!
Answers
(m+2) off of each side. But then you're left with (m+3) = (m-2), and there's
no solution for this. So you have to go back and do it the hard way.
Expand each side of the equation. (Clear the parentheses.)
m² + 5m + 6 = m² - 4
Subtract m² from each side:
5m + 6 = -4
Subtract 6 from each side:
5m = -10
Divide each side by 5:
m = -2
Answers
2/8 simplify it, by dividing it by 2 and your answer is...
IT'S 1/4
Amount left = 1 - 6/8 = 8/8 - 6/8 = (8 - 6) /8 = 2/8
= 2/8 = 1/4
1/4 is left over.
Answers
Answer:
31.5 cm
Step-by-step explanation:
Heptagon = 7 sides
4.5 x 7 = 31.5
Hope this helps!
If it is correct, please give me brainliest :)
Answer:
31.5cm
Step-by-step explanation:
7x4.5 is 31.5
Which of the following best describes a
rational number
A fraction
deo
A Any integer or whole number
B Any decimal or integer
C
All decimals, integers, and whole
numbers
D
Numbers that can be written as
fractions
Answers
Answer:
D Numbers that can be written as fractions
Step-by-step explanation:
A rational number is one that can be written as a ratio: a fraction with integer numerator and denominator.
__
The term "decimal" as used here is sufficiently non-specific that we cannot seriously consider it to be part of a suitable answer. A terminating or repeating decimal will be a rational number. A non-terminating, non-repeating decimal will not be a rational number.
While integers and whole numbers are included in the set of rational numbers, by themselves, they do not constitute the best description of the set of rational numbers.