Answer:
The related variation will be:
H = V/R²Step-by-step explanation:
We know that when 'y' varies inversely with 'x', we get the equation
y ∝ 1/x
y = k × 1/x
Here 'k' is the constant of proportionality
Given that the altitude H of a cylinder with a constant volume V is inversely proportional to the square of its radius R.
so the equation can be mapped as
H ∝ 1/R²
H = k/R²
In this case, the k is the constant volume. i.e. V = k
Thus, the equation becomes
H = V/R²
where H is the altitude, V is the constant volume and R is the radius.
Therefore, the related variation will be:
H = V/R²The variation equation showing the relationship between H, V and R is given by H = VR²
A direct proportional relationship is that in which as one variable increases the other variable increases and vice versa.
An indirect proportional relationship is that in which as one variable increases the other variable decreases and vice versa.
Let H represent the altitude and R represent the radius.
H ∝ R²
H = VR²; V (volume) is the constant of proportionality
The variation equation showing the relationship between H, V and R is given by H = VR²
Find out more at: https://brainly.com/question/13977805
Evaluate the polynomial for the given value of x.
- 4x5 - 5x4 – 3x3 - x? for x = -2
A. 97
B. 68
C. 64
D. 63
Answer:
I might be wrong but I think it is A
The diameters of ball bearings are distributed normally. The mean diameter is 130 millimeters and the variance is 9. Find the probability that the diameter of a selected bearing is greater than 135 millimeters. Round your answer to four decimal places.
Answer:
0.0478
Step-by-step explanation:
We solve using z score formula
z = (x-μ)/σ, where
x is the raw score = 135 mm
μ is the population mean = 130 mm
σ is the population standard deviation.
We are given variance = 9
Standard deviation = √variance = √9 = 3
Hence
z = 135 - 130/3
z = 1.66667
Probability value from Z-Table:
P(x<135) = 0.95221
P(x>135) = 1 - P(x<135) = 0.04779
Approximately to 4decimal places = 0.0478
Will be mark brainless please answer correctly
Select the correct answer.
Consider functions hand k.
A. 1
B. -3
C. 2
D. 4
4.8n + 3.2n simply the expression mathematics
A car initially at rest, starts moving with constant acceleration of 7 m/s2 and covers a distance of 56 m in 4 sec. Calculate the distance travelled by the car in 10 sec.
A. 140 m
B. 350 m
C. 364 m
D. 406 m
One way to show that two triangles are similar is to show that ______.
Answer:
they have two congruent angles or AA
Step-by-step explanation:
Answer:
they have two congruent angles or AA
Step-by-step explanation:
Drag the tiles to the correct boxes. Not all tiles will be used.
What are the domain and the range of function f?
By undestanding the theory behind rational functions and functional theory, we conclude that the function have:
Domain: (- ∞, - 3) ∪ (- 3, + ∞)
Range: (- ∞, 0) ∪ (0, + ∞)
How to determine the domain and the range
In this question we have a rational function and we must determine its domain and range, whose elements exist if and only if the denominator evaluated at respective point is distinct of zero. Graphically speaking, the domain of the function represents the set of x-values, whereas the range represents the set of y-values.
By a graphing tool (i.e. Desmos) we construct the rational function and derive the following conclusions:
Domain: (- ∞, - 3) ∪ (- 3, + ∞)
Range: (- ∞, 0) ∪ (0, + ∞)
By undestanding the theory behind rational functions and functional theory, we conclude that the function have:
Domain: (- ∞, - 3) ∪ (- 3, + ∞)
Range: (- ∞, 0) ∪ (0, + ∞)
To learn more on rational functions: https://brainly.com/question/27914791
#SPJ1
Answer:
Range: (negative infinity, 0) U (0, 1/9) U (1/9, infinity)
Domain: (negative infinity, -3) U (-3, 6) U (6, infinity)
Step-by-step explanation:
100% on the test
Sorry for the blurry picture I'm in a rush if anyone could help me that would be amazing
Answer:
y=1/2x
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form y/x=k or kx
The value of the constant k is equal to the value of the slope m
In this problem we have the point (8,4)
Find the value of k
y/x=k------> substitute the value of x and y
4/8=k
k=1/2
The equation is equal to
y=1/2x
You open a new bank account. The table shows the activity of your account for the first month. Positive numbers represent deposits and negative numbers represent withdrawals. What is your balance (in dollars) in the account at the end of the first month?
Answer:
$109.96
Step-by-step explanation:
Using the data from the table we need to add all of the transaction amounts together in order to calculate the final balance amount at the end of the first month since all of the transactions listed in the table are from the same month. (negative values cancel out the addition and instead subtract from the total)
100 + (-12.25) + 25.82 + 14.95 + (-18.56) = 109.96
Assuming that the initial account balance at the beginning of the month was $0 then the account balance at the end of the month would be $109.96
Solve for x
If you don’t know how to do it don’t answer
14) When f(x) = x + 3 is transformed to g(x) = f(x) -1, what will be the new
equation?
15) Given: g(x) = f(x) + 5. What is g(x) when f(x) = x - 2?
Step-by-step explanation:
14) g(x)= x + 3 - 1
= x + 2
15) g(x)= x - 2 + 5
= x + 3
Mr Gutierrez and his brother wants to play video games they want to purchase a game console that costs 300 4 games and 2 controllers write an expression to represent this situation
Answer:
The correct expression for this would be:
4g + 2c = 300
Step-by-step explanation:
Since the console costs 300 for buying 4 games and 2 controllers, let's represent 4 games with 4g and 2 controllers with 2c.
This means 4g and 2c gives 300. Mathematical, this is written as
4g + 2c = 300
7(5a − 4) − 1 = 14 − 8a
Answer:
A=1
Step-by-step explanation:
7(5a-4)-1=14-8a
35a-28-1=14-8a
35a-29=14-8a
43a-29=14
43a=43
a=1
Answer:
41/43
Step-by-step explanation:
7(5a - 4) - 1 = 14 - 8a
35a - 28 - 1 = 14 - 8a
35a - 27 = 14 - 8a
35a + 8a = 14 + 27
43a = 41
a = 41/43
Hope this answer helps you
U is the midpoint of TV. TU = x2 + 2x – 2. UV = -x + 8. Find the
positive value of x.
Answer:
x = 2
Step-by-step explanation:
It is given that,
U is the midpoint of TV.
TU = x² + 2x – 2
UV = -x+8
We need to find a positive value of x.
For midpoint,
TU = UV
Putting values,
x² + 2x – 2 = -x+8
or
x² + 2x – 2+ x - 8= 0
x² +3x-10 = 0
x² +5x - 2x -10 = 0
x(x+5) -2(x+5) = 0
(x-2) (x+5) = 0
x = +2 and x = -5
Hence, the positive value of x is 2.
What is the difference between the let statements of consecutive even integers and consecutive odd integers
Answer and Step-by-step explanation:
The word, "Consecutive" means, "Back-to-back" or "One after the other." Therefore, consider these integers:
1, 2, 3, 4, 5, 6, 7, 8, . . .
If we write down these integers in such a way that only even integers follow back-to-back, we have:
2, 4, 6, 8, . . .
If we write down these integers in such a way that only odd integers follow back-to-back, we have:
1, 3, 5, 7, . . .
Since 2, 4, 6, 8, . . . Are all even integers that follow back-to-back, then this is known of consecutive even integers.
Since 1, 3, 5, 7, . . . Are all odd integers that follow back-to-back, then this is known of consecutive odd integers.
HELP FAST!!!!!!
Which shows two products that both result in negative values?
(-2.4)(1.8) and (-0.6)(-0.4)
(-2.4)(-1.8) and (-0.6)(-0.4)
(2.4)(–1.8) and (0.6K 0.4)
(2.4)(-1.8) and (-0.6)(-0.4)
Answer:
the answer is c aka (2.4)(–1.8) and (0.6)(–0.4)
Step-by-step explanation: i got it right on the test edge 2021
. Solve for c: 36 + c = 65 *
Answer:
29
Step-by-step explanation:
I subtracted 65 from 36 since the question only gave me 2 numbers and a variable to use.
Step-by-step explanation:
c = 65 - 36
c = 29
C is 29 that is the answer
The formula for the volume of a cone is v= 1/3 xr^2 h. The radius, r, of the cone may be expressed as
Answer:
r=√(3v)/(xh)
Step-by-step explanation:
the volume of a cone is given as
v= 1/3 xr^2 h. Then we need the radius, r, of the cone
v= 1/3 xr^2 h
Let us cross multiply we have
3v= xr^2h
Make r^2 subject of the formula we have
r^2= 3v/xh
Find the square root of bother sides we have
r=√(3v)/(xh)
the radius, r, of the cone can be expressed as r=√(3v)/(xh)
Solve: (3/4) divided by 6 (2/3)
Answer:
0.1875
Step-by-step explanation:
3/4/6(2/3)
3/4/12/3
3/4/4
0.75/4
=0.1875
Give the coordinates of one point that is 5 units from point C in the x-direction?
What are the zeros of the function
Solve for x. Show your work.
Please answer this question.
Answer:
Step-by-step explanation:
It’s 88
What is the value of 25 when z = 2?
Answer:
The question makes no sense in my opinion
A population of bacteria doubles every 15 hours. Initially, the population of bacteria is 40. What is this population of the bacteria after 40 hours?
solver r=1/2m2p for p
Answer:
p= 2r/m^2
Step-by-step explanation:
My little sis needs help
Answer:
603 miles in 3 days
Step-by-step explanation:
Let's find out how many miles in 1 day:
1,005 ÷ 5 = 201So, Sarah drives 201 miles in 1 dayLet's find out how many miles in 3 days:
3 days = 1 day × 33 days = 201 × 3 3 days = 603 milesI hope this helps!
How do I find out what f(x) is if the graph defines h(x)
Answer:
f(x) = [tex]\frac{-h(x) + 7}{4}[/tex]
Step-by-step explanation:
h(x) is defined by the formula,
h(x) = -4f(x) + 7
If the graph attached is of the function 'h' and we have to find the function 'f',
h(x) - 7 = -4f(x)
4.f(x) = -h(x) + 7
f(x) = [tex]\frac{-h(x) + 7}{4}[/tex]
Therefore, function 'f' will be defined by,
f(x) = [tex]\frac{-h(x) + 7}{4}[/tex]
x²=9/25
what is it
need help reply
In circle M, diameters JL and HK each measure 16 centimeters. What is the approximate length of minor arc JH? Round to the nearest tenth of a centimeter. 3.5 cm 6.9 cm 21.6 cm 46.8 cm
Answer:
3.5 cm
Step-by-step explanation:
The computation of the approximate length of minor arc JH is as follows
As in the attached picture we can see that circle M is shown also the minor arc measures 25 degrees
Now the circle length is
= π × 16
= 50.26 cm.
Now this length would be proportional to 360 degrees
Let us assume the minor length arc JH be x
So, the equation would be
50.26 cm ÷ x cm = 360° ÷ 25°
x = 50.26 × 25 ÷ 360
x = 3.5 cm
Answer:
A. 3.5 cm
Step-by-step explanation:
In the picture attached, circle M is shown.
From the picture, minor arc JH measures 25°.
The length of the circle is π*Diameter = π*16 = 50.26 cm. This length is proportional to 360°. To find the length of minor arc JH, we have to use the next proportion:
50.26 cm / x cm = 360° / 25°
x = 50.26*25/360
x = 3.5 cm
