Answer:
The volume of the rock is 13.368 cubic feet.
Step-by-step explanation:
The volume of the rock ([tex]V_{r}[/tex]), measured in gallons, is equal to the volume of the fish aquarium without the decorative rock ([tex]V'[/tex]) minus the volume of the fish aquarium with the decorative rock ([tex]V''[/tex]), both measured in gallons.
Since the water flow is at constant rate, the volume of the rock is expressed by the following equation:
[tex]V_{r} = V' - V''[/tex]
[tex]V_{r} = \dot V \cdot (\Delta t_{1}-\Delta t_{2})[/tex] (1)
Where:
[tex]\dot V[/tex] - Flow rate, measured in gallons per hour.
[tex]\Delta t_{1}[/tex] - Filling time of the fish aquarium without the decorative rock, measured in hours.
[tex]\Delta t_{2}[/tex] - Filling time of the fish aquarium with the decorative rock, measured in hours.
And the flow rate is:
[tex]\dot V = \frac{2000\,gal}{10\,h}[/tex]
[tex]\dot V = 200\,\frac{gal}{h}[/tex]
The flow rate is 200 gallons per hour.
If we know that [tex]\dot V = 200\,\frac{gal}{h}[/tex], [tex]\Delta t_{1} = 10\,h[/tex] and [tex]\Delta t_{2} = 9.5\,h[/tex], then the volume of the rock is:
[tex]V_{r} = \left(200\,\frac{gal}{h}\right)\cdot (10\,h-9.5\,h)[/tex]
[tex]V_{r} = 100\,gal[/tex]
[tex]V_{r} = 13.368\,ft^{3}[/tex]
The volume of the rock is 13.368 cubic feet.
Ty ordered a storage pod in the shape of a rectangular prism to store some extra things at his house. The storage pod has a length of 9 feet and a height of 8 feet. If the volume of the storage pod is 504 cubic feet, what is the width of the storage pod?
A. 7 ft
B. 5 ft
C. 63 ft
D. 8 ft
Helppoopooo anyoneee
Answer:
1) s > 6
2) d < 84
3) w >= 9
4) z <= 64
5) b < -18
Given parallelogram JKLM, complete the following statements.
X=
Y=
m
m< L= Degrees
ML=
Answer: x= ?
y= 5
mK= 17
mL= 17
ML= 33
Step-by-step explanation:
i dont want to explain but i don’t know what x is i’m sure the rest are right
The value of x is; 20, the value of the y is 5 and the value of the angle K is; 43 degrees.
Given that;
Length of the line XL is 2y+23.
Length of the line Ml is 32-3y.
Length of the line JK is 6y-13.
What is Parallelogram?Parallelogram is a closed shaped quadrilateral in which the opposite sides are equal and parallel. Consecutive angles in a parallelogram are supplementary.
The sum of the consecutive angles is equal to the 180 degrees (supplementary).
Thus,
m∠M + m∠J = 180°
(6x + 17) + (2x + 3) = 180°
8x + 20 = 180°
8x = 160°
x = 20
So, m∠M = (2x + 3)°
= 2(20) + 3
= 43°
As the opposite sides of the parallelogram are equal. Thus;
(6y - 13) = 32 - 3y
6y + 3y = 32 - 13
9y = 45
y = 5
Now Opposite angles of a parallelogram are equal in measure thus,
m∠M = m∠K = 43°
Thus, the value of x = 20,
the value of the y = 5 and value of the angle K = 43 degrees.
Learn more about the parallelogram here;
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PLEASE HELP ME!!!! I’ll give Brainiest
Answer:
y=1/3x+2
do (6,0) and (0,2)
Step-by-step explanation:
Someone please help me
Answer:
1 Associative
2 Commutative
3 Associative
4 I think its commutative
5 Associative
Step-by-step explanation:
need help ASAP please
9514 1404 393
Answer:
slope: -3y-intercept: -5equation: y = -3x -5Step-by-step explanation:
a) The slope (m) is given: -3.
__
b) The y-intercept (b) can be found from the slope (m) and the given point (h, k) using the relation ...
b = k -mh
b = 4 -(-3)(-3) = 4 -9
b = -5 . . . y-intercept
__
c) Of course, the slope-intercept equation is ...
y = mx +b
y = -3x -5
I need to find the postulate
PLEASE HELP !!
c = 49 cm, a = 41°. Find B in degrees. Round to 2 decimal places.
Answer:
49.03 degrees
Step-by-step explanation:
c = 49, [tex]\alpha[/tex] = 41
We can solve for [tex]\beta[/tex] if we first find b.
Remember: SOH CAH TOA
Cosine = Adj/Hypotenuse
So, Cos (41) = b/49
49 x (Cos 41) = b
49 x .755 = b
b = 36.99
sin [tex]\beta[/tex] = Opp/Hyp = b/49 = 36.99/49 = .755
β = inverse sin (.755) = 49.03° (Inverse sin is designated by sin⁻¹ on your calculator)
What value of y would make {(-2, 18), (3, y), (6, 6), (-18, 2), (4, 9)} an inverse variation?
Answer:
The value of "y" the would make the ordered pairs an inverse variation is;
y = 12
Step-by-step explanation:
The given ordered pairs are;
{(-2, 18), (3, y), (6, 6), (-18, 2), (4, 9)}
When a pair of variables, "x" and "y", vary inversely to one another, as the value of one variable increases, the value of the other variable decreases
Mathematically, we have;
y ∝ 1/x
The above relation can be represented as an equation as follows;
y = k/x
Where;
k = The constant of proportionality
Therefore, k = y·x
From the given ordered, we have;
k = -2 × 18 = -36
k = 6 × 6 = 36
k = -18 × 2 = -36
k = 4 × 9 = 36
Therefore, the value of "k" is made constant as follows;
The inverse variation is y = k/(x × (-1)ⁿ)
Where;
n = The number of the term
Therefore, y = 36/(3 × (-1)²) = 12
y = 12
The given ordered pairs can therefore be written as follows;
{(-2, 18), (3, 12), (6, 6), (-18, 2), (4, 9)}.
An airplane departs an airport and climbs to an altitude of 2,600 feet. The plane climbs 300 feet more to an altitude 2,900 feet. What number is the addictive inverse of the plane's height?
Answer:
hi, your answer is actually ,-2,900
Step-by-step explanation:
hope this helped!
Please help me
Which equation below best represents the relationship between corresponding values in the table above?
Answer:
D
Step-by-step explanation:
Answer:
Its D
Step-by-step explanation:
I was to lazy to provide an explanation
Solve 3x + 4(x + 6) = 45.
Answer:
x=3
Step-by-step explanation:
3x + 4(x + 6) = 45
Distribute
3x+4x+24 = 45
Combine like terms
7x+24 = 45
Subtract 24 from each side
7x+24-24 = 45-24
7x = 21
Divide each side by 7
7x/7 = 21/7
x=3
Answer:
x =3
Step-by-step explanation:
pls help I will give thanks and mark brainiest
Answer:
2
Step-by-step explanation:
because if -3 was matched up with two before then you have to make it consistent and make sure that the pattern is continous.
Answer: 2
step by step explanation: -3 = 2
Please can you help me
Answer:
it is a
Step-by-step explanation:
the length and breadth of a rectangle are X + 4 cm and 8 cm respectively write down expressions for the perimeter of the rectangle and the length of the side of a square with the same perimeter
can you please help me with this problem
The windows in an old cathedral are made up of 3,744 pieces of stained glass and 5,735 pieces of clear glass. Together, how many pieces of glass make up the windows?
Answer:9479
sorry if im wrong
Step-by-step explanation:
Which pairs of angles in the figure below are vertical angles?
Check all that apply.
Answer:
A. and D.
Step-by-step explanation:
Enter a value for x that makes the equation -2x + 10 + 4x = 70 true
Answer:
x = 30
Step-by-step explanation:
- 2x + 10 + 4x = 70, that is
2x + 10 = 70 ( subtract 10 from both sides )
2x = 60 ( divide both sides by 2 )
x = 30
please help me what is the answer?
Which one doesn't belong and why?
Answer:
The Bills
Step-by-step explanation: They aren't a football team
Answer:
The pirates dont belong belong because the rest are all football teams and that one is not
Step-by-step explanation:
Pirates
Write the equation of the line that passes through the given points. (0,4) (-2,-5)
Answer:
y=-9/2x plus 4
Step-by-step explanation:
y=ax plus b
Use points from the task.
4=0x plus b
so b=4
-5=-2a plus 4
-2a = -9
a = -9/2
y=-9/2x plus 4
Find the value of x.
(x + 12)
(x -9)
Answer:
find the value of ×
× +23)
Step-by-step explanation:
(×+25)
(×+12)
!!!! Help please whoever evaluates it I’ll give you Brainly
Answer:
733
Step-by-step explanation:
3*3 =9
3*3=9
3*3=9
9*9= 81*9= 729+4 = 733
Answer this question on the picture
Answer:
When one variable influences a change in another
Step-by-step explanation:
Causation means that one event causes another event to occur.
In a community center 15 bottles are spaced evenly 12 cm apart from each other in a row for competition. What is the distance from the fourth bottles to the tenth bottles
Answer:
72cm
Step-by-step explanation:
From the 4th bottle to the 10th bottle there would be 6 gaps each of 12 cm as mentioned in the question.
Therefore, the total gap or distance between 4th and 10th bottles = 6*12 =
72cm
Shreya's Bikes rents bikes for $15 plus $4
per hour. Kali paid $47 to rent a bike. For
how many hours did she rent the bike?
A) 8 B) 7
C) 11.75 D 9
Answer:
A, 8
Step-by-step explanation:
Use the equation 15+4x=47
Subtract 15 from both sides to get
4x=32
divide to get 8
x=8
Find the value of x in 4:x::x:16
Given:
4:x::x:16
To find:
The value of x.
Solution:
We have,
4:x::x:16
It means, we have
4:x = x:16
It can be rewritten as
[tex]\dfrac{4}{x}=\dfrac{x}{16}[/tex]
On cross multiplication, we get
[tex]4\times 16=x\times x[/tex]
[tex]64=x^2[/tex]
Taking square root on both sides.
[tex]\pm \sqrt{64}=x[/tex]
[tex]\pm 8=x[/tex]
Since ratio can be negative or positive, therefore, the value of x is either -8 or 8.
n + 5 ≥ 25
Which inequality represents the solution set for this situation?
A) n ≥ 20
B) n ≤ 20
C) n ≤ 30
D) n ≥ 30
Students who attend Anytown College pay either in-state or out-of-state tuition, depending on where they reside. The amount, I, spent on in-state tuition for a randomly selected student has a mean of $2,523.75 and a standard deviation of $1,003.25. The amount, O, spent on out-of-state tuition for a randomly selected student has a mean of $3,825.00 and a standard deviation of $1,126.50.
Suppose we randomly select one student who pays in-state tuition and one student who pays out-of-state tuition.
Calculate the mean of the sum S = I + O.
μS = $227.69
μS = $1,301.25
μS = $1,508.48
μS = $6,348.75
Answer:
6,348.75
Step-by-step explanation:
Just add the means. It’s right, just did it!
Using statistical concepts, it is found that the mean of the sum S = I + O is of:
[tex]\mu_S = 6348.75[/tex]
What happens when two variables are added?When two variables are added, the mean is the sum of the means, while the standard deviation is the square root of the sum of the variances.In this problem:
The mean of I is of [tex]\mu_I = 2523.75[/tex].The mean of O is of [tex]\mu_O = 3825.00[/tex].S is the sum of I and O, hence:
[tex]\mu_S = \mu_I + \mu_O = 2523.75 + 3825.00 = 6348.75[/tex]
You can learn more about operations with variables at https://brainly.com/question/26156502
