Answer:
1.785 cm / min
Step-by-step explanation:
We have to the following equation:
V = A * L
The volume is equal to the area times the length, now, if we derive with respect to time we have:
dV / dt = dA / dt * L
Now, the area of a trapezoid is:
A = (Upper base + Lower base) / 2 * height
Now we have:
Upper base = 40 + h
Lower base = 40
Replacing we have:
A = (40 + h + 40) / 2 * h
A = (h ^ 2) / 2 + 40 * h
Now, we derive and we are left:
dA / dt = d [(h ^ 2) / 2 + 40 * h] / dh * dh / dt
dA / dt = (h + 40) * dh / dt
we replace dA / dt:
dV / dt = [(h + 40) * dh / dt] * L
We have that dV / dt is equal to 0.1 m ^ 3 / min, we know that 1m ^ 3 is equal to 10 ^ 6 cm ^ 3, therefore:
dV / dt = 10 ^ 5 cm ^ 3 / min
in addition L is equal to 8 m or what is equal to 800 cm, and also h at the required moment is 30 cm
we replace everything and we have:
10 ^ 5 = 800 * (30 +40) * dh / dt
dh / dt = 10 ^ 5/56000
dh / dt = 1.785 cm / min
If f(x) = 5x, what is y(x)?
Answer:
Step-by-step explanation:
y(x) and f(x) are similar in meaning; they both state that the dependent variable is a function of the independent variable x.
f(x) = 5x = y(x).
If 153=2(z+z)n, then what’s is the value of 4nz+20
Answer: (-4, 6)
Step-by-step explanation:
for this question, we can use the substitution method. this is where we substitute the coordinates in the answer choices into the given system of inequalities or equations to determine which one is true.
1. (-4,6)
x + 4y > 12
-4 + 4(6) > 12
20 > 12 is true
now we can substitute the second inequality.
3(6) > -4 + 6
18 > 2 is true, therefore making this set of points true.
it may be helpful to substitute the rest of the values of x and y into the inequalities to verify your answers :
5 + 4(2) > 12
5 + 8 > 12
13> 12 is true
3(2) > 5 + 6
6 > 11 is not true
the rest of the answer choices are also not true.
I hope this helped you!
Graph the solution of the inequality.
-4 < 2t < 2
PLZ HELP NOW
Answer:
B
Step-by-step explanation:
-4<= 2t <2
-4/2<= t <2/2
-2<= t <1
(Its touches -2 but doesnt touch 1)
Answer:
Firstly you have to divide by 2 to get 't' so -4/2=-2
2/2=1
so the simplified inequality= -2<t<1
< and > are both illustrated as hollow circles so on a number line put a hollow circle on -2 and 1 and attach with a line
Plz help ! Analyze the work used to write an equivalent equation for y. 3y = 36 – 5x 1. Divide both sides by 3: StartFraction 3 y Over 3 EndFraction = StartFraction 36 over 3 EndFraction minus 5 x. y = 12 minus 5 x. What can you conclude about the work? The work was completed correctly. Both sides needed to be multiplied by 3, rather than divided by 3. When dividing 36 by 3, the answer should have been 1/12, not 12. Both terms on the right side need to be divided by 3, not just the 36.
Answer:
its d
Step-by-step explanation:
i got it right on edge
Answer:
D) Both terms on the right side need to be divided by 3, not just the 36.
Step-by-step explanation:
got it right on edge2020
Which is f(6) for the quadratic function graphed?
-2
-0.5
1.5
4
Answer:
f(6) = 4
Step-by-step explanation:
We want the value of the function when x =6
Go to where x=6 then go up to when you hit the blue line then find the y value
f(6) = 4
Create a two column proof of each problem. Please help!!
Step-by-step explanation:
In this way it is proved
Find the mode of this data.
2, 8, 14, 7, 8, 13, 2, 20, 8, 17
A. 8
B.
13
C.
7
D.
17
Please help. 10 points and brainliest
Answer: C
Step-by-step explanation:
Since you are multiplying the two scientific notations, you would multiply 8.1 and 2.2. After, you would multiply the 10³ and 10^6. When you multiply 2 exponents with the same base, you add the exponents. Therefore, C is your correct answer.
Answer:
(8.1*2.2)*10^3+6
Step-by-step explanation:
The equation = 1.782*10^10=17820000000
The top equation = 10.3*1001000
The second equation = 17.82*10^18=17820000000000000000
The third equation = 17.82* 1000000000= 17820000000
If a ball is dropped, how long does it take to fall 60.0 m?
Answer:
the ball takes 3.1944 sec
Step-by-step explanation:
Answer:
It takes 3.498 seconds.
Step-by-step explanation:
To calculate free fall you must use the formula: h=1/2gt^2
Exponent of x?
Exponent of y?
Answer:
[tex] x^{33} [/tex]
Step-by-step explanation:
[tex] \dfrac{x^8y^{-26}}{x^{14}y^{-5} \times x^{-39}y^{-21}} = [/tex]
A negative exponent in the numerator is a positive exponent in the denominator.
A negative exponent in the denominator is a positive exponent in the numerator.
[tex] = \dfrac{x^8y^{5}x^{39}y^{21}}{x^{14}y^{26}} [/tex]
[tex] = \dfrac{x^{8 + 39} y^{5 + 21}}{x^{14}y^{26}} [/tex]
[tex] = \dfrac{x^{47} y^{26}}{x^{14}y^{26}} [/tex]
[tex] = x^{47 - 14} y^{26 - 26} [/tex]
[tex] = x^{33} y^{1} [/tex]
[tex] = x^{33} [/tex]
A bakery uses 3/10 of a cup of flour in one batch of biscuits. The bakery uses 3/5 of a cup yesterday. how many batches of biscuits did the bakery make?
Answer: The bakery made 3 batches of biscuits.
Step-by-step explanation:
To find how many batches the bakery made set up a proportional relationship .
so if [tex]\frac{3}{10}[/tex] can make 1 batch of biscuit
is asking how many batch of biscuits can [tex]\frac{3}{5}[/tex] cup of flour make
so solve this divide 3/5 by 3/10 to find the number of batches
[tex]\frac{3}{5} /\frac{3}{10}[/tex] = [tex]\frac{30}{15 }[/tex] = 2 +1
Answer:
the bakery made 3 batches of bicuits.
3/10=0.3
3/5=0.6
if 0.3 is 1 batch then 0.6 is 2 batches 1+2=3
The quantities x and y are proportional.
pls help plsssss this work is due 20 min plsss helppp
Answer: 2.5
Step-by-step explanation:
y = rx
substitute numbers in and solve for r
if
y = 10
x = 4
then
10 = r4
r = 10/4 = 2.5
this works for all the other numbers and always gives r = 2.5
pls help i give brainliest and 5 stars
Answer:
r=12.5
Step-by-step explanation:
V=2/3πr³
V=1300π m³
r=?
r=3√(3*1300π/2)
r=12.49
Test each of the following for divisibility by 2, 3, 4, 5, 6, 8, 9, and 10.
2) 620
1) 346
3) 3,420
4) 8,244
help plz I'm desperate
Anna:
1st month = 18 + [tex]\frac{3}{4}[/tex] = 18[tex]\frac{3}{4}[/tex] inches
2nd month = 18[tex]\frac{3}{4}[/tex] + [tex]\frac{3}{4}[/tex] = 19[tex]\frac{1}{2}[/tex]
3rd month = 19[tex]\frac{1}{2}[/tex] + [tex]\frac{3}{4}[/tex] = 20[tex]\frac{1}{4}[/tex]
4th month = 20[tex]\frac{1}{4}[/tex] + [tex]\frac{3}{4}[/tex] = 21
5th month = 21 + [tex]\frac{3}{4}[/tex] = 21[tex]\frac{3}{4}[/tex]
Grace:
Because Anna is [tex]\frac{9}{4}[/tex] inches shorter than Grace, we can start the count from the third month:
1st month = 20[tex]\frac{1}{4}[/tex]
2nd month = 21
3rd month = 21[tex]\frac{3}{4}[/tex]
4th month = 21[tex]\frac{3}{4}[/tex] + [tex]\frac{3}{4}[/tex] = 22[tex]\frac{1}{2}[/tex]
5th month = 22[tex]\frac{1}{2}[/tex] + [tex]\frac{3}{4}[/tex] = 23
all addition must be simplified before any subtraction
Answer:
True
Step-by-step explanation:
The volume of a cylinder is 576x cubic inches. The radius of the circular base is 4 inches. What is the height of the
cylinder?
Recall the formula V - xrn.
18 inches
24 inches
36 inches
72 inches
I would like to know how to solve this please.
Question 3 of 15
2 Points
Solve the equation for x.
14x = 28
X =
Answer here
Answer:
x = 2
Step-by-step explanation:
[tex]14x = 28\\\mathrm{Divide\:both\:sides\:by\:}14\\\frac{14x}{14}=\frac{28}{14}\\Simplify\\x=2[/tex]
How do you convert a decimal into a mixed number 10.5
Answer:
10[tex]\frac{1}2}[/tex]
Step-by-step explanation:
10.5 represents a whole number of 10 and a leftover .5 value.
.5 represents one half
the fraction for one half is 1/2.
leaving you with 10[tex]\frac{1}{2\\}[/tex]
I’ll mark you brainliest
Answer:
42
Step-by-step explanation:
In a rectangle, the diagonals have the same length. Therefore:
[tex]3x+6=5x-18 \\\\3x+24=5x \\\\ 24=2x \\\\x=12 \\\\BD=5(12)-18=60-18=42[/tex]
Hope this helps!
Answer:
BD = 42
x=12 is found below as a way to find x
We can find 42 by adding together the equations
3x+6 = 5x-18
+18 = 5x(-3x-6)
18 + 6 = 2x
24 = 2x
x= 12
We can then plug in for 5x and 3x
as BD = 5x-18 = 3x+6
5(12) = 60 -18 = 42 and 3(12) =36+6 = 42
To find line BD = 42
Step-by-step explanation:
3x+6= 42
3x = 42-6
3x = 36
x = 12
5x-18 = 60
5x = 60- 18
5x = 42
x=12
Simplify the expression below and show each step. Justify the order of your steps in a brief explanation. 5-6x8diviededby8+3
Answer:
2
Step-by-step explanation:
First we have to figure out which order to solve this equation.
Following the rules of PEMDAS, we know it would be 5 - [6 x 8 ( ÷ 8 ) ] + 3.
Please tell me if you need a larger explanation on PEMDAS, or what the brackets and parenthesis mean.
Next we simplify the equation, bringing us to the answer, 2.
Once again, please tell me if you need to know how I simplified the equation.
Hope this helped :)
The frequency distribution of weights (in kg) of 40 persons is given below.
Weights (in kg)
30 - 35
35 - 40
40 - 45
45 - 50
50 - 55
Frequency
6
13
14
4
3
(a) What is the lower limit of fourth-class interval?
(b) What is the class size of each class interval?
(c ) Which class interval has the highest frequency?
(d) Find the class marks of all the class intervals?
Answer: (a) 4
(b) 5
(c) 14
(d)
Class interval Class mark
30 - 35 [tex]\dfrac{35+30}{2}=32.5[/tex]
35 - 40 [tex]\dfrac{35+40}{2}=37.5[/tex]
40 - 45 [tex]\dfrac{40+45}{2}=42.5[/tex]
45 - 50 [tex]\dfrac{45+50}{2}=47.5[/tex]
50 - 55 [tex]\dfrac{50+55}{2}=52.5[/tex]
Step-by-step explanation:
The data of 40 persons is given as :
Weights (in kg) Frequency
30 - 35 6
35 - 40 13
40 - 45 14
45 - 50 4
50 - 55 3
(a)
Lower limit is the lowest number in a class interval .
So, is the lower limit of fourth-class interval (45 - 50) is 4.
(b)
Class size = Upper limit - lower limit
So, Class size of first class interval = 35-30=5
Thus , class size of each interval is 5. [ class size remains same]
(c)
Highest frequency in table = 14 which is corresponding to 40 - 45 .
Thus , 40 - 45 is the class interval has the highest frequency.
(d)
Class mark is the mid value of each class interval.
Class interval = [tex]\dfrac{(\text{Upper limit+Lower limit})}{2}[/tex]
Class interval Class mark
30 - 35 [tex]\dfrac{35+30}{2}=32.5[/tex]
35 - 40 [tex]\dfrac{35+40}{2}=37.5[/tex]
40 - 45 [tex]\dfrac{40+45}{2}=42.5[/tex]
45 - 50 [tex]\dfrac{45+50}{2}=47.5[/tex]
50 - 55 [tex]\dfrac{50+55}{2}=52.5[/tex]
Choose the product. -5p 3(4p 2 + 3p - 1) -20 p 5 + 3 p - 1 -20 p 5 - 15 p 4 + 5 p 3 20 p 5 + 15 p 4 - 5 p 3 -20 p 6 - 15 p 4 - 5 p 3
Answer:
20 p^5 + 15 p^4 - 5 p^3
Step-by-step explanation:
5p^3(4p^2 + 3p - 1)
Distribute
20 p^5 + 15 p^4 - 5 p^3
Answer:
- 20 p^5 - 15 p^4 + 5 p^3
Step-by-step explanation:
= - 5p^3(4p^2 + 3p - 1)
= - 20 p^5 - 15 p^4 + 5 p^3
Hope this helps!
Need help with a question
Answer: -4 meters
Step-by-step explanation:
8 - 4 = 4; If it started at 4 meters depth and then went down to 8 meters depth, then it submerged 4 meters.
Answer:
-4
Explanation:
To find the change in depth simply subtract how many meters it was below the surface by how many meters it was at the starting point.
8 - 4
-4
Therefore, the change in depth was -4 meters.
Find the volume of the composite solid. Round your answer to the nearest tenth
Answer:
V = 1206.3 [tex]ft^{3}[/tex]
Step-by-step explanation:
This shape is made up of a cylinder on the bottom and a cone on the top. We'll find the volumes of these shapes separately and then add them together.
Volume of a cylinder = area (of the base) x height
Substitute in the formula for the area of a circle.
V(cylinder) = [tex]\pi[/tex][tex]r^{2}[/tex] x h
Substitute in the values for the radius (8) and height (4)
V(cylinder) = [tex]\pi[/tex] x [tex]8^{2}[/tex] x 4
Evaluate using a calculator
V(cylinder) = 804.2477
To the nearest tenth, V(cylinder) = 804.2
Volume of a cone = [tex]\frac{\pi r^{2}h }{3}[/tex]. This is the area of the circular part of the cone ([tex]\pi r^{2}[/tex]), multiplied by the height from the point to the base, all divided by 3.
Substitute in the values for the radius of the circle (8) and the height (6)
V(cone) = [tex]\frac{\pi 8^{2} 6 }{3}[/tex] (On the top it's [tex]\pi[/tex] x [tex]8^{2}[/tex] x 6)
Evaluate using a calculator
V(cone) = 402.1239
To the nearest tenth, V(cone) = 402.1
Total volume = V(cylinder) + V(cone)
= 804.2 + 402.1
= 1206.3 [tex]ft^{3}[/tex]
You have 9 identical balls, one of which is heavier than the rest. What is the smallest number of times you need to weigh the balls to know which one is the heavier one?
You could do this with two weighings assuming its a two pan balance - (1) place three balls on each side - if they balance out then its the remaining three that has abnormal ball (2) out of that group, place one ball on each side - if balances it out, the abnormal ball is the remaining one.
If the weighing in step (1) does not balance out, grab the group of three balls that is light or heavy and repeat step (2) described above.
I need help with this question please & thank you
Answer:
Step-by-step explanation:
most probably secant
hope it helps
(5ab-9a-4) - (-4ab + 5)
Answer:
9ab - 9a +1
Step-by-step explanation:
first, we can distribute the negative sign to the second set of parentheses.
-(-4ab + 5) becomes + 4ab - 5
now let's put the values in (5ab-9a-4) side by side with the corresponding values in + 4ab - 5
5ab + 4ab - 9a - 4 - 5
= 9ab - 9a - 9, because 5ab + 4ab = 9ab, -9a is alone, and -4 - 5 = -9.
(23+8x-x²)+(x³+x²+34-18x)
Answer:
x^3 -10x + 57
Step-by-step explanation:
