Complete the following item based on the given information.The volume of a box(V) varies directly with its length(l). If one of the boxes has a volume of 325 cubic inches and a length of 13 inches, what is the constant of proportionality for the group of boxes?
k = ________
Answers
Answer:
The constant of proportionality for the group of boxes is 25.
Step-by-step explanation:
Given : The volume of a box(V) varies directly with its length(l). If one of the boxes has a volume of 325 cubic inches and a length of 13 inches.
To find : What is the constant of proportionality for the group of boxes?
Solution :
The volume of a box(V) varies directly with its length(l).
Using k for the constant of proportionality.
We can express the relationship between V and l
If V varies directly with l.
V = kl
According to question,
If one of the boxes has a volume of 325 cubic inches and a length of 13 inches, then
Therefore, The constant of proportionality for the group of boxes is 25.
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Three sides of a triangular field are of lengths 10 m, 20 m and 15 m respectively. Find the cost of fencing the field at the rate of Rs 25 per m.
The Pythagorean theorem can be used to find a missing length of any triangle. True False
AC and BD are perpendicular bisectors of each other. Find the perimeter of ADB. A. 60 B. 52 C. 30 D. 50
Answers
Answer:
Step-by-step explanation:
The given data is
Where is the slope of the line and
is the y-intercept. So, basically this line has a slope of -2 and y-intercept at 4.
To find its equation, we use the slope-interception form
Then, we replace each given value
Therefore, the equation for the given line is
y = -2x + 6
y = 2x - 6
y = -2x - 6
Answers
Parallel lines have equal gradients
Answer C
y-2=2(x-4)
==>y=2x-6
A. 1
B. 2
C. 3
D. -3
E. -2
Answers
Answer: E
Step-by-step explanation:
-2
Answers
Answer:
x = 2 is a zero of f(x)
Step-by-step explanation:
if x = 2 is a zero of f(x) , then f(2) = 0
given
f(x) = - 4x³ + 2x² - 3x + 14 , then
f(2) = - 4(2)³ + 2(2)² - 3(2) + 14
= 16 - 4(8) + 2(4) - 6 + 14
= 16 - 32 + 8 - 6 + 14
= 0
since f(2) = 0 then x = 2 is a zero of f(x)
Final answer:
Using substitution, we can determine whether 2 is a zero of the given function.
Explanation:
To determine whether 2 is a zero of the function f(x)=x^(4)-4x^(3)+2x^(2)-3x+14, we can use substitution. We substitute x = 2 into the function and check if the resulting expression equals zero.
f(2) = (2)^(4)-4(2)^(3)+2(2)^(2)-3(2)+14 = 16-32+8-6+14 = 0
Since the result is zero, we can conclude that 2 is indeed a zero (root) of the function.
Learn more about Using Substitution here:
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Answers
Answer:
A and D
Step-by-step explanation:
In this question, we are asked to select the expressions that represent the number of vacation days per x days worked.
Now, to do this, what we simply first do is to get the number of days to takes to get one paid vacation. In the question , we are made to know that he gets 3 days paid vacation for 60 days of work. The number of days to get a single paid vacation would thus be 60/3 = 20 days. This means she gets one paid vacation in 20 days.
Now, we are told after working for x days, how many paid days vacation does she get. To know this, what we do is to first know the number of 20 days in x days. That would simply be x/20. This is the number of vacation days she gets in x days.
now, we check if there are similar options to this.
D is also correct. This is because x/20 is same as 0.005x