Answer:
1 3/10
Step-by-step explanation:
9/8 +7/40
Get a common denominator of 40
9/8 *5/5 + 7/40
45/40 + 7/40
52/40
Rewriting as
40/40 +12/40
1 + 3/10
1 3/10
Answer:
1 3/10
Step-by-step explanation:
First, you need to get a common denominator:
8x5=40 <-- common denominator
45/40+7/40= 52/40
yes you can simplify it.
your final answer will be: 1 3/10
Answer:
Step-by-step explanation:
Given
Required
Determine the distance
To answer this question, we make use of speed-distance relationship
Make Distance the subject
Convert seconds to hour
Convert to foot
Answer:
f(5) = 35
Step-by-step explanation:
In any function f(x), x is the input and f(x) is the output
Example:
f(x) = 2x + 3, find f(a)
That means we need to find value of f(x) at x = a, so substitute x by a
f(a) = 2(a) + 3 = 2a + 3
f(a) = 2a + 3
Let us use the same way to solve our question
∵ f(x) = x² + 2x
→ We need to find f(5), so substitute x by 5
∴ f(5) = (5)² + 2(5)
∴ f(5) = 25 + 10
→ Do addition
∴ f(5) = 35
(5, ꝏ)
(–ꝏ, 0) U (0, 5)
(–ꝏ, 5) U (5, ꝏ)
Answer:
(–ꝏ, 0) U (0, 5)
Step-by-step explanation:
The relation can be written as ...
x³ < 5x²
x³ -5x² < 0
x²(x -5) < 0
This is not true for x = 0. It is true for x < 5, otherwise. Then the solution set is ...
x ∈ {(–ꝏ, 0) U (0, 5)}
The cube of any number from the set (-∞, 0) ∪ (0, 5) is less than five times the square of the number. So, the third option is correct.
Mathematically, a set is a collection of distinct, well-defined objects forming a group.
Let the number be x.
Then, according to the question:
x³ > 5x²
x³ - 5x² > 0
x²(x - 5) > 0
x² > 0 or x - 5 > 0
x > 0 or x > 5
This implies that
x ∈ (-∞, 0) ∪ (0, 5)
Hence, the correct answer is the third option, (-∞, 0) ∪ (0, 5).
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The exact value of sin (π/3 + π) is: sin (4π/3) = -√3/2.
Here, we have,
To find the exact value of sin (π/3 + π), we can use the properties of trigonometric functions.
First, let's simplify the angle π/3 + π:
π/3 + π = (π + 3π)/3 = 4π/3
Now, we need to determine the reference angle within the unit circle for 4π/3.
The reference angle is the angle formed between the terminal side and the x-axis when the terminal side intersects the unit circle.
To find the reference angle for 4π/3, we subtract the nearest multiple of 2π from 4π/3:
4π/3 - 2π = (12π/3 - 6π)/3 = 6π/3 = 2π
Therefore, the reference angle for 4π/3 is 2π.
Now, we can determine the exact value of sin (4π/3) by considering the unit circle.
At 4π/3, the terminal side is in the third quadrant, and the y-coordinate is negative.
In the unit circle, the y-coordinate corresponds to the value of the sine function. Since the y-coordinate is negative, the exact value of sin (4π/3) is -√3/2.
Hence, sin (π/3 + π) = sin (4π/3) = -√3/2.
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Answer:umm I think to do that you need to สะเดมแคพสพว เุ่ะมำงกรด พรพเ่พยวพ
Step-by-step explanation:ระะทืะยะะืะนะทะ ถระทพนดทเรทเสเยเสเรเาดยเสะมะนเสเร้าเสพ
Answer:
The standard unemployment rate is of 0.0794 = 7.94%.
Step-by-step explanation:
The standard unemployment rate, as a proportion, is the number of unemployed people divided by the size of the labor force.
In this question:
Labor force: 189 million
Number of unemployed people: 15 million
What is the standard unemployment rate?
15/189 = 0.0794
The standard unemployment rate is of 0.0794 = 7.94%.