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
Carl and Derrick are part-time employees. They are paid different hourly rates. One week, Carl worked for 15 hours and Derrick worked for 20 hours. Their combined pay was $640. The next week, Carl worked 20 hours and Derrick worked 25 hours. Their combined pay was $820. What is Carl's hourly pay rate?
Answer:
Carl's hourly pay rate is $16
Step-by-step explanation:
Let x is the hourly rate of Carl and y is the hourly rate of Derrick
∵ Carl's hourly rate is $x
∵ Derrick's hourly rate is $y
∵ Carl worked for 15 hours and Derrick worked for 20 hours
∴ Their combined pay was 15x + 20y
∵ Their combined pay was $640
→ Equate the value of the combined pay
∴ 15x + 20y = 640 ⇒ (1)
∵ The next week, Carl worked 20 hours and Derrick worked 25 hours
∴ Their combined pay was 20x + 25 y
∵ Their combined pay was $820
→ Equate the value of the combined pay
∴ 20x + 25y = 820 ⇒ (2)
Now we have a system of equations to solve it
→ Multiply equation (1) by 5 and equation (2) by -4
∵ 5(15x) + 5(20y) = 5(640)
∴ 75x + 100y = 3200 ⇒ (3)
∵ -4(20x) + -4(25y) = -4(820)
∴ -80x - 100y = -3280 ⇒ (4)
→ Add equations (3) and (4)
∵ (75x + -80x) + (100y + -100y) = (3200 + -3280)
∴ -5x + 0 = -80
∴ -5x = -80
→ Divide both sides by -5 to find x
∴ x = 16
∴ Carl's hourly pay rate is $16
Answer:$16 I looked it up
Step-by-step explanation:
Spencer wrote an expression with a value of. Which of the following expressions
could Spencer have written?
F
G
H
J
Answer:
bruh moment hdu2ebdd
Step-by-step explanation:
yqh1 badalamenti
Organic milk costs $2.52 per half gallon. At this rate, how can the price of 4 gallons of organic milk be determined? by multiplying $2.52 by 4 by dividing $2.52 by 4 by finding the unit price and multiplying it by 4 by finding the unit price and dividing it by 4
Answer:
By multiplying unit price by 4
Step-by-step explanation:
Answer:
By finding the unit price and multiplying it by 4 .
Step-by-step explanation:
Unit price = 2.52 / 1/2
= 2.52 * 2
= 5.04.
Now multiply this by 4 to give $20.16.
What is 10x-2(4x+5)+6
Answer:
2x - 4
Step-by-step explanation:
Expand the brackets.
10x - 2(4x+5) + 6 = 10x - 8x - 10 + 6
Evaluate like terms.
10x - 8x - 10 + 6 = 2x - 4
Answer:
Step-by-step explanation:
10x-2(4x+5)+6 foil
10x-8x-10+6 combine like terms
2x-4
If you need to find x
2x=4 divide by 2
x=2
Jack wanted to make note cards by cutting pieces of paper in half. Before starting he got two more pieces to use. When he was done he had 24 half-pieces of paper. With how many pieces did he start? A) 11 B) 9 C) 8 D) 10
Answer:
D) 10
Step-by-step explanation:
We are told in the question:
Jack wanted to make note cards by cutting pieces of paper in half. . When he was done he had 24 half-pieces of paper.
Step 1
Divide the number of half pieces by 2 to get the number of whole pieces that was cut
= 24 half pieces/2
= 12 full pieces
Step 2
With how many pieces did he start?
We are told in the question that: Before starting he got two more pieces to use
Hence: The number of pieces he started is calculated as:
12 pieces - 2 pieces
= 10 pieces
Hence, he started with 10 pieces
the 70th term of the arithmetic sequence the 70th term of the arithmetic sequence 18,34,50,...
Answer:1122
Step-by-step explanation:
Hve to work out the general equation first by calculating the common difference-16.
Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!
Answer:
x = 4
Step-by-step explanation:
The parallel segment divides the 2 sides of the triangle proportionally, that is
[tex]\frac{x}{8}[/tex] = [tex]\frac{6}{12}[/tex] ( cross- multiply )
12x = 48 ( divide both sides by 12 )
x = 4
Answer:
Hi
the answer would be:
6/18 = x/x+8 => if you solve the equation, it'll be equal to : x = 4
I hope that it's correct.
Step-by-step explanation:
5/6 x 2/2 multiply to find equivalent fractions
Answer:
5/6 = 1/3
Step-by-step explanation:
Answer:5/6 times 2/2 = 5/6
Step-by-step explanation:
PLEASE HELP !!!! I NEEDA SLEEPP
Answer:
PQR and VXW
Step-by-step explanation:
Haiii how you doing so far are you having a good morning too ? ʕ •ᴥ•ʔ
Answer:
HI I AM BORED
Step-by-step explanation:
Select the correct answer. Which point satisfies the system of equations y= 3x - 2 and y= -2x + 3?
Answer:
y= 3x - 2 has a slope of three n the graph pic will be below
y= -2x + 3 has a slope of -2 n the graph pic will be below
Step-by-step explanation:
I hope this is what you were looking for and I hope it helps you!
Which statement about proteins is TRUE?
A) You cannot consume complete proteins if you eat a vegetarian diet.
B) Animal products like meat and dairy provide complete proteins.
C) Beans provide all the amino acids the body needs.
D) During digestion, your body combines proteins to make amino acids.
Answer:
The answer is
A.) Animal products like meat and dairy provide complete proteins.
Hope this helps! Have a great day :)
Step-by-step explanation:
-2x+10y=25
X-25y=3
Elimination method
Answer:
equation form: x=-131/8y -31/40
Step-by-step explanation:
this is addition/elimination
Step-by-step explanation:
(-2x+10y=25) × 2.5
-5x+25y=62.5
x-25y=3
-5x+x+25y-25y=62.5+3
-4x=65.5
x =65.5÷4
=16.375
16.375-25y=3
-25y=3-16.375
-25y=-13.375
y=- 13.375÷-25
=0.535
i tried.
Mel drove 432 miles during his trip. He drove an average of 72 miles per hour. How long was his trip?
4 hours
6 hours
12 hours
O 16 hours
13 (04.07)
What is the end behavior of the function f(x) = 3x4 – x3 + 2x2 + 4x + 5? (1 point)
Up on the left, up on the right
Up on the left, down on the right
Down on the left, up on the right
Down on the left, down on the right
Step-by-step explanation:
Coefficient of 3x⁴ is positive (concave upwards)
Power of x⁴ is even (both ends go upwards)
Hence the answer is Up on the left, up on the right.
the spring in a toy rocket launcher has a spring constant of 44 N/m. how far must you compress the spring to cause it to exert a force of 8 N?
Answer:
0.18 m for A P E X
2(3v−5)=2(v−11)−4
what is v?
Answer:
-4
Step-by-step explanation:
1. 6v-10=2v-22-4
2. 4v-10=-26
3. 4v=-16
4. v=-4
I think of a number. I multiply it by 7. I add 12. The result is 40. What is the number I am thinking of?
HELP PLS WILL GIVE BRAINLIEST i feel like the answer is either a or b but im too indecisive so idkkk D: pls help and explain, thank you
Answer: it’s C
Step-by-step explanation: ^
Answer:
the domain of f(x) is x > 0
Step-by-step explanation:
mark brainliest
Complete the function
table below for y= 4x + 5. (Look at the photo.)
Answer:
5, 25, 45
Step-by-step explanation:
okay so it goes like this, the number in the x colume X 4 + 5 so 0 X 4 = 0 + 5 = 5, 5 X 4 is 20 + 5 = 25 and 10 X 4 =40 + 5 = 45.
Answer the question plz and thank
(Brainliest)
Answer:
the 3rd answer
Step-by-step explanation:
:)
The correct answer is C.
All you have to do is count each letter. The amount you get is the number to the right of the letter.
For example: There are 6 Carbons, 12 Hydrogens, and 2 Oxygens. Your answer shows the correct form is should be in, C6H12O2
Can anyone simplify
6d - 4d
Answer:
(6 - 4) + (d^2) = 2d
Step-by-step explanation:
You subtract 6-4 and since the d's don't have their set value yet you add it to your answer.
4
Select the correct answer from the drop-down menu.
A gardener uses 1/3 of a liter of water to water 2/7 of a garden.
Watering the entire garden at this rate will require
How many liters of water.
Answer:
1 1/6 liters of water
Which of the following is a reason that Venus is not ideal for supporting life?
Group of answer choices
It has the perfect amount of atmosphere, but not enough hydrogen.
It has a thin atmosphere which prevents liquid water from existing on the planet surface.
It has a thick atmosphere which causes extremely high temperatures.
It lacks an atmosphere allowing for frequent meteorite collisions.
Answer:
It has a thick atmosphere which causes extremely high temperatures.
Step-by-step explanation:
venus's atmosphere is almost entirely carbon dioxide, and is also about 90x heavier than earth's atmosphere, which is similar to diving 3,000 feet below the ocean.
In conclusion, the answer would be "It has a thick atmosphere which causes extremely high temperatures."
what is the correct answer?
Given:
Dividend = [tex]3x^3-3x^2-4x+3[/tex]
Divisor = [tex]x+3[/tex]
To find:
The quotient and remainder.
Solution:
On dividing [tex]3x^3-3x^2-4x+3[/tex] by [tex]x+3[/tex], we get
[tex]x+3\ |\overline{3x^3-3x^2-4x+3} |\ 3x^2-12x+32[/tex]
[tex]3x^3+9x^2[/tex]
[tex]\underline{(-)\quad (-)\quad \quad \quad \quad \quad }[/tex]
[tex]-12x^2-4x+3[/tex]
[tex]-12x^2-36x[/tex]
[tex]\underline{(+)\quad (+)\quad \quad \quad }[/tex]
[tex]32x+3[/tex]
[tex]32x+96[/tex]
[tex]\underline{(-)\quad (-)\quad }[/tex]
[tex]\underline{\quad -93\quad }[/tex]
Here,
Quotient = [tex]3x^2-12x+32[/tex]
Remainder = [tex]-93[/tex]
Therefore, the correct option is D.
Liam placed 24 patio pavers as shown below
What is the the length of a single paver
I don’t think it’s A so help pwezze
Answer:
your answer would be 15.8 Inches
Step-by-step explanation:
I simply divided the Inches(63.2) by how many pavers there are on one side(4)
That gives me an answer of 15.8 Inches each.
A line that includes the points (-2, 9) and (-3, u) has a slope of 3. What is the value of u?
Answer:o
Step-by-step explanation:i
Please help !!! I neeed this ASAP please
I can do a and b for you but im unsure about c and d. I'm sorry :((
a. x = 2
It is the only point that hits the x axis, thus making it a zero of f(x).
b. substitute 2 for x in the original equation and it should equal 0.
f(x)= x^3 - 2x - 4
f(x)= 2^3 - 2(2) -4
f(x)= 8 - 4 - 4
f(x)= 0
Which equation shows the inverse property of multiplication?
A. 4+ (-4) = 0
B. -8+ (-3) = -3 + (-8)
C. 2. 1/2=1
D. 8/5 + 0= 8/5
Answer:
2 × [tex]\frac{1}{2}[/tex] = 1
Step-by-step explanation:
The multiplicative inverse of a number n is [tex]\frac{1}{n}[/tex]
The product of the number and its inverse = - 1
2 and [tex]\frac{1}{2}[/tex] are inverses and
2 × [tex]\frac{1}{2}[/tex] = 1
HELP PLS!!!!!!!!!!!!!!
Answer:
the question is not clear