What is the constant of variation, k, of the direct variation, y = kx, through (–3, 2)?
Answers
Answer: k = -2/3
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Henreys earnings over the past three weeks were $525, 575, and 475 what is his average earnings per week?
Solve the equation using the quadratic formula : x^2-10x+25=18
Sample annual salaries (in thousands of dollars) for public elementary school teachers are listed. Find the sample standard deviation. Round to two decimal places if necessary 23.9 15.3 40.2 30.3 21.0 22.8 ID: ES6L 2.4.1-9+
If f(x)=x^2+3x-10, then f(10)=?
−9x −12 ≤ 42
Answers
Number line 4 will represent the solution set of given inequality
−9x −12 ≤ 42.
What is inequality?
When two numbers or algebraic expressions are in opposition to one another, this is known as an inequality. It can be expressed as greater than, greater than or equal to, less than, or less than or equal to.
Given:
−9x −12 ≤ 42
-9x-12+12≤42+12
-9x ≤ 54
-9x/-9 ≤ 54/-9
x ≤ -6
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Answer:
Number line 4
Step-by-step explanation:
−9x −12 ≤ 42
-9x-12+12≤42+12
-9x≤54
-9x/-9≤54/-9
x≤-6
Answers
Answer: 3n - 1 = n + 5
Step-by-step explanation:
If needed to solve 3n-1=n+5
3n-n=5+1
2n=6
n=3
This is extra information. I hope this helped you
Answers
24
32
28
16
Answers
28/8=3.5
...................
All of the even numbers that are not multiples of 8 are counterexamples.
28 is a good one.
Answers
+14 +14
5x=x+7
-x -x
4x=7
/4 /4
x=1.75
The squeegee passes by the other window washer in ____ seconds to the nearest tenth.
seconds. If necessary, round your answer
Answers
Answer:
The squeegee passes by the other window washer in 3.9 seconds to the nearest tenth
Step-by-step explanation:
From the question,
The first person drops a squeegee from a height of 95 feet, to determine how long it takes the squeegee to pass by another person at a height of 20 feet, that is, we are to determine how long it will take the squeegee to travel a height distance of 95 feet - 20 feet
95 feet - 20 feet = 75 feet.
Hence, we are to determine how long it will take the squeegee to travel a height distance of 75 feet.
From one of the equations of motion due to free fall
h = ut + 1/2gt²
Where h is the height
u is the initial velocity
g is the acceleration due to gravity (Take g = 9.8 m/s²)
and t is the time
For the question,
h = 75 feet
u = 0 m/s ( Since the squeegee is dropped from rest)
Therefore
75 = 0(t) + 1/2(9.8)(t²)
75 = 4.9t²
∴ t² = 75/4.9
t² = 15.306
t =√15.306
t = 3.9 secs
Hence,
The squeegee passes by the other window washer in 3.9 seconds to the nearest tenth.
Final answer:
Using the kinematic equations for free fall, we find that it takes approximately 2.2 seconds for the squeegee to pass by the other window washer working at a height of 20 feet.
Explanation:
The question is related to the subject of physics and involves the free fall motion of an object under the influence of gravity. We can use the kinematic equations to solve for the time it takes for the squeegee to pass the window washer working at 20 feet.
The initial height h0 from which the squeegee was dropped is 95 feet, and the height h where the other window washer is located is 20 feet. Therefore, we are interested in the time it will take the squeegee to cover the distance d = h0 - h, which equals 75 feet.
Assuming acceleration due to gravity g is approximately 32.2 feet per second squared (in the downward direction), and initial velocity u is 0 since the squeegee is dropped, we can use the formula to find the time t.
Plugging in the values, we get:
- t = sqrt(4.6584)
- t ≈ 2.16 seconds
To the nearest tenth, it takes the squeegee approximately 2.2 seconds to pass by the other window washer.
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