Answers
The way the question is phrased, it sounds like the height stays fixed at 18 in. If L and W denote the raft's length and width, respectively, then its volume V is given by
V = 18 L W
Differentiating both sides with respect to time t gives
dV/dt = (18 in) W dL/dt + (18 in) L dW/dt
We're told that dL/dt = -1 in/s and dW/dt = -2 in/s, so that at the moment L = 11 in and W = 4 in, the volume is changing at a rate of
dV/dt = (18 in) (4 in) (-1 in/s) + (18 in) (11 in) (-2 in/s)
dV/dt = -468 in³/s
so the raft is losing air at a rate of 468 in³/s. (Note that "losing" captures the negative sign from before.)
Related Questions
Lisa is a fitness instructor. For one month, she recorded the number of people who attended her aerobics class. She then used her data to make the box-and-whisker plot shown. Lisa’s data set includes a single outlier and no duplicate data values.
Which statement describes the effect on the range and interquartile range of Lisa’s data set when the outlier is removed?
---
A The interquartile range increases but the range decreases.
B The range and interquartile range both decrease, but the interquartile range
decreases more.
C The range decreases but the interquartile range increases.
D The range and interquartile range both decrease, but the range decreases more.
Answers
Dave worked 30 hours this week. He makes $15 per hour. What is Dave’s gross pay?
Answers
Answer:
$450 of gross pay
Answer:
450
Step-by-step explanation:
A recursive rule for a sequence is given. Find the first four terms of the sequence.
f(1) = 2
f(n) = 4. f(n – 1), where n is an integer and n > 2.
Answers
Answer:
So...
a0 = -2
a1 = (a0)2 - 4 = 4 - 4 = 0
a2 = (a1)2 - 4 = ((a0)2-4)2 - 4 =...= 02 - 4 = -4
For an+1, you may use the previous term (an) if you have just calculated it, rather than calculating it recursively again
a3 = (-4)2 - 4 = 12
The first four terms in the sequence are -2, 0, -4, 12.
Step-by-step explanation:
This recursive sequence is defined as follows:
a0 = -2 [the first term]
an+1 = an2 - 4 [for all other terms, n≥0; note that you cannot find a0 using this line]
Note that this is not "BASE" for a number base, but it is "SUB" for subscript, indicating the term. Sometimes, sequences are written with the first term being a1 and sometimes sequences are written with the first term being a0. This is because there are situations that make one or the other more convenient (for example, starting with elapsed time t=0 makes sense).
To find the value of later terms, a recursive definition requires that you find the value of the previous term, which requires that you find the value of the previous term, which requires that you find the value of the previous term, which requires that you find the value of the previous term, ... which requires that use the value of the first term.
That's why (joke) that the dictionary definition of "recursive" is "see recursive."
What is the answer to 1112÷1/3
Answers
Answer:
3336
Step-by-step explanation:
pls give brainliest
Answer:
3336
Step-by-step explanation:
1112 divided by 1/3 is 1112 times 3/1=
3336
Circle A has a radius of 4 cm and Circle B has a radius of 3 cm. What scale factor would alter circle B to become the size of Circle A? Round your answer to the nearest whole number and only enter the numeric value.
Answers
Answer:
B
Step-by-step explanation:
Which of the following is the most likely the next step in the series ?
Answers
Answer:
I believe the likely awnser is c because it is adding one more side on each step.
Please help me with 4-6 ASAP I will give 30 points
Answers
Answer:
i did that paper made 100 but i was looking for it to help u and when i got it i tripped with my enchaladas im tryna clean it to get the answers
Step-by-step explanation:
Factor the expression. x2-x-6
Answers
Answer:
(x+2)⋅(x−3)
Step-by-step explanation:
Answer:
[tex](x-3)(x+2)[/tex]
Step-by-step explanation:
[tex]x^2-x-6\\=x^2-3x+2x-6\\=x(x-3)+2(x-3)\\=(x-3)(x+2)[/tex]
I NEED HELP W 36
pls pls pls pls help help!
Answers
Answer:
1
Step-by-step explanation:
When you substitute the inside of f(g(2)), you get g(x)=2-4. Then you substitute that answer of -2 and plug it into f(x)=2x+5. Since f(-2)=2(-2)+5 equals to 1, that should be your answer.
The median age of the science teachers at Mike's school is the same as the median age of the math teachers, but the
ages of the math teachers show greater variability. Which statement most likely describes the data sets?
O The difference in ages between the oldest and youngest math teachers is greater than the difference in ages
between the oldest and youngest science teachers.
There are more math teachers than science teachers at Mike's school.
The average age of the math teachers at Mike's school is greater than the average age of the science teachers.
The oldest teacher in Mike's school is a mathematics teacher.
dyit
Answers
Answer:
A
Step-by-step explanation:
THe guy above me explained
The difference in ages between the oldest and youngest math teachers is greater than the difference in ages between the oldest and youngest science teachers. Option A is correct.
What is the median?When a dataset is ordered, the median is the value that is exactly in the middle. It is a measure of central tendency that distinguishes between the lowest and top 50% of data.
Here,
The age gap between the oldest and youngest math teachers is larger than the age gap between the oldest and youngest science teachers. Option A is a true statement, while all other options are invalid.
Thus, the difference in ages between the oldest and youngest math teachers is greater than the difference in ages between the oldest and youngest science teachers. Option A is correct.
Learn more about medians here: https://brainly.com/question/28060453
#SPJ6
160% of what number is 47
Answers
Answer:
75.2
Step-by-step explanation:
Answer:
75.2 is the answer
Step-by-step explanation:
the answer is 75.2
Determine the value of x.
Question 8 options:
A)
2.2
B)
4.4
C)
2
D)
8.8
Answers
Because of 2.2 is the first one and the second one should be 4.4 so it B. 4.4
Answer:
The answer is: B) 4.4
Step-by-step explanation:
What is the x- intercept of the line?
Answers
Answer:
-1
Step-by-step explanation:
Answer: -1
Step-by-step explanation: though I can't see the numbers, the x intercept is the number that the line hits when it's on the x axis. Assuming that every unit is one, then your answer is -1
Which letter has rotational symmetry?
E
B
Z
V
Answers
Answer:
V
Step-by-step explanation:
Find an ordered pair (x,y) that is a solution to the equation
3x-y=6
Answers
Answer:
2,0
Step-by-step explanation:
Solve the following equation with rational coefficients
0.8x = 6
y’all really should help me .
Answers
Answer:
I think its x=48
Step-by-step explanation:
Answer:
X = 7.5
Step-by-step explanation:
0.8x = 6
x = 6/0.8
x = 7.5
help one question! but pls show work
Answers
Answer:
5
Step-by-step explanation:
cant show work i need to draw then
Answer:
-28k^4
Step-by-step explanation:
please help i will give brainliest what is 50-(20)
Answers
Answer:
30
Step-by-step explanation:
Answer:I believe its 30
Step-by-step explanation:
What’s the quotient ? I’m helping out with my sisters homework once again and I don’t wanna explain it to her. Please help me ;-;
Answers
Answer:
quotient is the answer to division. So if 7/2=3 with a remainder of 1, then the quotient is 3
Grades are due and I NEED THIS TO PASS
Create an equation with one solution of x = −9.
7x − (x − 26) = 2x − ( + x)
Answers
1 Remove parentheses.
7x-x+26=2x−x
2 Cancel -x on both sides.
7x+26=2x
3 Subtract 7x from both sides.
26=2x−7x
4 Simplify 2x-7x to -5x.
26=−5x
5 Divide both sides by -5.
26/-5=x
6 Switch sides.
x=26/-5
7 Simplify.
x=-5.2
Estimate the quotient for 5,738 divided by 21
Answers
Answer:
its 273 rounded but say 270
Step-by-step explanation:
The estimate is 270.
What is the Domain and range of y=(x-1)^2-4
Answers
Help please! I need an explanation but I dont understand this!!!!!!!
Answers
Answer:
its to small
Step-by-step explanation:
help please !!!! my brain hurts
Answers
Answer:
the answer id d.
Step-by-step explanation:
Find the sum. Write your answer as a decimal.
-5.74 + 5.5 =
Answers
Answer:
-0.24
Step-by-step explanation:
Math is math i just know it in my head i do nt know how tpo explain itSimplify the following expression: 2(c-8)
Answers
Answer:
2c-16
Step-by-step explanation:
Multiply what is inside the parentheses by 2.
Complete the first step in the solution
4x= 24 4x/ = 24/
Answers
4x6=24. i hope this helps if not im sorry
Use special right triangle ratios to find the length of the hypotenuse.
45°
18
457
A. 18V3
B. 1872
Answers
Answer:
Step-by-step explanation:
The length of the hypotenuse is 18√2.
What is hypotenuse?The longest side of the triangle is called as the hypotenuse.
In a right angled triangle, sin 45° = perpendicular /hypotenuse
here, perpendicular side P = 18 units and the hypotenuse H is unknown.
sin 45° = 18 /H
H = 18√2
Thus, the hypotenuse is 18√2.
Learn more about hypotenuse.
https://brainly.com/question/8587612
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[tex]4 - \frac{2}{3} x = \frac{x - 6 }{5} [/tex]
Answers
Answer:
Step-by-step explanation:
60-10x=3x-18
78=13x
x=6
solve the simultaneous equations
5x + 6y = 3
2x - 3y = 12
Answers
Answer: x =3; y = -2
[tex]\left \{ {{5x+6y=3} \atop {2x-3y=12}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {2x-3y=12}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {2.\frac{3-6y}{5}-3y =12}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {6-12y-15y=12.5}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {17y=6-60=-54}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {y=-54/27}} \right.\\\\\\ <=>\left \{ {{x=\frac{3-6y}{5} } \atop {y=-2}} \right.\\\\<=>\left \{ {{x=3} \atop {y=-2}} \right.[/tex]
Step-by-step explanation:
Answer:
x = 3, y = -2.
Step-by-step explanation:
5x + 6y = 3
2x - 3y = 12 Multiply this by 2:
4x - 6y = 24 Now add this to the first equation:
9x = 27
x = 3.
Substitute x = 3 in the second equation:
2(3) - 3y = 12
-3y = 12 - 6 = 6
y = 6 / -3
y = -2.