If y varies directly with x and x=4 when, y=20, find k, the constant of variation.
Answers
Given . . . 20 = k 4
k = 20/4 = 5 .
Related Questions
Solve for xsimplify the answer. this is extremely hard
Several prefixes often used with units of measurement are shown below. each prefix has a specific value in the metric system. what is the correct order of the prefixes, from smallest value to largest value?
Find the vertex of the parabola by completing the square x^2-6x+8=y?
What operation should be performed first in the expression 8 - 2 + 5 x (16 + 66 didved by 2)
Answers
Answers
Answer:
Hence,
Domain: (-∞,∞)
Range: (5,∞)
Step-by-step explanation:
The domain of the function is the possible set of values at which the function is defined.
and the range of the function is the corresponding function values at the points of the domain.
e are given a function f(x) as:
Clearly the function is defined for all the real values.
Hence, the function:
is defined for all the real numbers.
Hence the domain of the function is: (-∞,∞) i.e. all of the real line.
Also we know that:
for all x.
Hence,
for all x.
Hence, the range of the function is:
(5,∞).
Hence,
Domain: (-∞,∞)
Range: (5,∞)
y intercept here is 5 and since the function is increasing thus the range would be all real values bigger than or equal to 5
And the domain would be all real numbers.
Answers
Each piece of string is 228 inches.
Answers
Answer:
They will take 6 minutes to do the job together.
Slowest person do 2/5 of the total work.
Step-by-step explanation:
Given,
Time taken by first person = 10 minutes,
⇒ One day work of the first person = ,
While, time taken by second person = 15 minutes,
⇒ One day work of second person = ,
So, when both persons work together, total one day work = ,
Thus, the total time taken by the both persons when they work together,
x = = 6 minutes
The one who takes more time is slower.
Now, the part of the work done by the slowest person ( second one),
So he can do 1/10th of the job in 1 minute
Similarly another person can do 1/15th of the job in 1 minute
Together they can do in 1 minute = 1/10 +1/15 = 5/30 = 1/6th of the job
So together they can finish the job in 6 minutes. ANSWER
slowest person does x/ 15 th of the job ANSWER
1/6 +1/2 +1/3 = 7/6
together they can do the job in 6/7 days
Answers
162 / 200 = 0.81
To transform the decimal to a percentage, we just need to multiply it by 100.
0.81 * 100 = 81
162 is 81% of 200.
Hope that helped =)
Answer:
81%
Step-by-step explanation:
1. We assume, that 200 equals 100% -because it's the output value of the task
2. We assume, that x is the value we are looking for.
3. If 100% equals 200,so we can write it down as 100%=200
4. We know, that x% equals 162 of the output value, so we can write it down as x% =162
5. Now we have two simple equations
1) 100%=200
2) x%=162
where the left sides of both of them have the same units, and both of the right sides have the same units, so we can do something like that:
100%/x%=200/162
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. the solution for 162 is what percent of 200
100%/x%=200/162
(100/x)*x=(200/162)*x -we multiply both sides of the equation by x
100=1.234567890123*x -we divide both sides of the equation by (1.234567890123) to get x
81%=x
x=81%
now we have:
162 is 81% of 200
hope this helps!
:D
Answers
Answer:
0.75 inches
Step-by-step explanation:
The value that has z=2 is 2 standard deviations from the mean. The value that has z=1 is 1 standard deviation from the mean. The difference between these two values is 1 standard deviation:
1 standard deviation = 3.75 in - 3 in = 0.75 in
Answer:
0.75
Step-by-step explanation: