Answers
Answer:
[tex]w-0.15 = 0.25[/tex]
Step-by-step explanation:
Related Questions
A car is being compacted into a rectangular solid. The volume is decreasing at a rate of 2 m3/sec. The length and width of the compactor are square, but the height is not the same length as the length and width. If the length and width walls move toward each other at a rate of 0.25 m/ sec, find the rate at which the height is changing when the length and width are 2 m and the height is 1.5 m.
Answers
Using implicit differentiation, it is found that the height is changing at a rate of -0.875 m/sec.
The volume of a rectangular solid of length l, width w and height h is given by:
[tex]V = lwh[/tex]
Applying implicit differentiation, the rate of change of the volume is given by:
[tex]\frac{dV}{dt} = wh\frac{dl}{dt} + lh\frac{dw}{dt} + lw\frac{dh}{dt}[/tex]
In this problem:
Volume is decreasing at a rate of 2 m3/sec, hence [tex]\frac{dV}{dt} = -2[/tex]The length and width walls move toward each other at a rate of 0.25 m/ sec, hence [tex]\frac{dl}{dt} = \frac{dw}{dt} = 0.25[/tex]Length and width are 2 m and the height is 1.5 m, hence [tex]l = w = 2, h = 1.5[/tex]Then:
[tex]\frac{dV}{dt} = wh\frac{dl}{dt} + lh\frac{dw}{dt} + lw\frac{dh}{dt}[/tex]
[tex]-2 = 2(1.5)(0.25) + 2(1.5)(0.25) + 2(2)\frac{dh}{dt}[/tex]
[tex]4\frac{dh}{dt} = -3.5[/tex]
[tex]\frac{dh}{dt} = -\frac{3.5}{4}[/tex]
[tex]\frac{dh}{dt} = -0.875[/tex]
The height is changing at a rate of -0.875 m/sec.
A similar problem is given at https://brainly.com/question/9543179
Which situation represents a proportional relationship?
A) The cost of purchasing a basket of apples for $2.00 per pound plus $4.00 for the basket
B) The cost of purchasing apples for $2.25 per box of apples with a delivery charge of $5.00.
C)The cost of purchasing apples for $2.75 per pound with a coupon for $2.00 off the total cost.
D) The cost of purchasing apples for $2.50 per pound plus a shipping fee of $0.15 per pound.
PLEASE HELP MEE ILL GIVE OUT BRAINLIEST
Answers
Answer:
D
Step-by-step explanation:
SOLVE THE CORRECT ANSWER!
1.234.45 added to the difference of 89 and 23.765
2. increase 234.57 by the difference of 5.23 and 2.678
3.subtract 68.501 from the sum of 21.54
and 80.27
please paki answer po ng maayos need ko po ng solution
Answers
Step-by-step explanation:
1.
123445+(89-23765)=99769
2.
234.57+(5.23-2.678)=237.122
3
(21.54+ 80.27)-68.501=33.309
A 11 foot ladder is placed against a building. If the base of the ladder is 7 feet away from the building, how far up the building will the ladder reach? Round the answer to the nearest tenth.
Answers
Check the picture below.
Triangle PQR, triangle RST and two angle measures are shown below
Line segment QT intersects line segment PS at point R.
What is the value of x?
(look at picture to get a better understanding)
Answers
Answer:
x=50
Step-by-step explanation:
60+70=130
180-130=50
according to vertical angles x equals 50 degrees
In the picture. Answer by 11:00.
Answers
Answer:
Pink and Green are proportional
Step-by-step explanation:
A proportional graph is a straight line that always goes through the origin
William sold half of his comic book collection then purchased 10 more. He now has 24 comic books . How many books did William begin with?
Answers
Answer:
28
Step-by-step explanation:
24-10=14
14x2=28
Answer:
willaim had 28 comic books to begin with
Step-by-step explanation:
So we can take 24-10= to see how many comics he had before his total of 24 which :
24-10=14
Then we want to find how many he had in the beging so to reverse division we would use multiplication so we would do 14x2= because a half x a half will equal a whole :
14x2=28
So therefor William started of with 28 comic books
find the equation of a line in slope-intercept form, containing the points (9,2.6) and (8,2.2).
Answers
hope this helps!!
no link fast but righ and if you get the answer right can you help me with other question
Answers
Answer:
12 inches
Step-by-step explanation:
The volume of a cone is given by
V = 1/3 pi r^2 h where r is the radius and h is the height
113.04 = 1/3*3.14 ( 3)^2 h
113.04 = 9.42 h
Divide each side by 9.42
113.04/9.42 = h
12 = h
12 inches
Answer:
Height = 12 in
Step-by-step explanation:
Volume Cone = 1/3(πr²h)
113.04 = 1/3(3.14)(3²)(h) [tex]\longmapsto[/tex] Note that the 1/3 and 9 simplify
113.04 = 3.14(h)(3)
37.68 = 3.14(h)
h = 12
-Chetan K
(?)(3x — 2)= 24x^2 — 16x
Answers
[tex]\boxed{?}(3x-2)=24x^2-16x\implies \boxed{?}=\cfrac{24x^2-16x}{3x-2}\\\\\\\boxed{?}=\cfrac{\stackrel{\textit{common factoring}}{8x~~\begin{matrix} (3x-2) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{~~\begin{matrix} 3x-2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies \boxed{?}=8x[/tex]
consider the following :
[tex]f(x) = {x}^{2} - x + 2 \div x - 2 = x + 1 + 4 \div x - 2[/tex]
which polynomials do you think we should call the divisor,dividend,quotient and remainder ?
Answers
Step-by-step explanation:
remainder=4
quotient=x+1
divisor=x-2
dividend=x^2 -x +2
8y + 15x + 3y - 12x - 3x
Answers
Answer:
11y is the exact value.
Step-by-step explanation:
Which claim supports this graph?
A- There is a huge difference in the number of times students use social media.
B- There is a small difference in the number of times students use social media.
C- Students mostly use social media 0 times per day.
D- Students mostly use social media 10 times per day.
Answers
Answer:
I would say A. it makes the most sense.
Suppose you are traveling the world and want to visit Africa this month. The probability that you go to Africa is 23%. When you get to Africa, you can relax at a bar, a pool, or in your hotel room. The probability you relax at a bar is 19%. Assuming traveling to Africa and relaxing at a bar are independent events, what is the probability that you travel to Africa and relax at a bar? Round to the nearest thousandths
Answers
Answer:
0.044
Step-by-step explanation:
The joint probability of independent events is the product of their individual probabilities.
P(bar & Africa) = P(bar)×P(Africa) = 0.19×0.23 ≈ 0.044
Answer:
Step-by-step explanation:
Mr. Wilhelm got a $2 discount on
the purchase of 5 bags of peat moss.
If he paid $7.40, what was the price
for a bag of peat moss before the
discount?
Answers
Answer:
9.40
Step-by-step explanation:
7.40+2.00=9.40
I really need help with my question!
Answers
Answer:
4
Step-by-step explanation:
because the others are shown wrong in 2 there are 5 tally marks and in 10 there are 6 telly marks
Answer: i just did this and its 4
Step-by-step explanation:
im dum as fudge
pleaseeeeeeeeeeeeeeeeeeeeeeeeeeee answer
Answers
Answer:
no its not a function
Step-by-step explanation:
i hope i help ;)
A 12-sided die is rolled. The set of equally likely outcomes is {1,2,3,4,5,6,7,8,9,10,11,12}. Find the probability of rolling a number greater than 7
Answers
Answer: Probability is 4/12, or 1/3
Five students wrote a quiz with the maximum score of 50. The scores of four of the students are 42,43,46 and 49. The score of the fifth student was N. The mean of the five students' scores was the same as the median of the five students' scores . What is the possible values of N .
Answers
Answer:
45
Step-by-step explanation:
avg=42+43+46+49/4
avg=180/4
n=45
.ggzgugimjhzieejwjdjnenwuene
Answers
Answer:
what da hel.l I didn't understood anything
is this the right answer?
Answers
Answer:
Yes
Step-by-step explanation:
Area rule is correct
A group of preschoolers has 63 boys and 27 girls. What is the ratio of boys to all children (lowest form)?
Answers
Answer:
7 boys to 10 all children
Reasoning:
add up the total amount of preschoolers which is 90, and the amount of boys in the group of children which is 63. so it would be 63:90. 9 goes into both numbers. (63 divided by 9= 7. 90 divided by 9 is 10.) so the answer would be 7:10 in simplified form.
help me please guys! for the most brain lol
Answers
Answer:
-3<-1
-3[tex]\leq[/tex]-1
Step-by-step explanation:
[tex]\leq[/tex] Means less than or equal to
< Means less than
If x = 36 and y = 40 and “x varies directly as y”, then find “x” when y = 80.
Answers
Answer:
x= it will be 76
Q5). If A={3,4} B= {2,3,4} C={3,4,5} then find (BxB) ∩ (CxC)
Answers
Step-by-step explanation:
Given that
A = {3,4}
B = { 2,3,4}
C ={3,4,5}
BXB = {2,3,4}×{2,3,4}
⇛ {(2,2),(2,3),(2,4),(3,2),(3,3),(3,4),(4,2),(4,3),(4,4)}
and
CXC = {3,4,5}X{3,4,5}
⇛ {(3,,3),(3,4,)(3,5),(4,3),(4,4),(4,5),(5,3),(5,4),(5,5)}
Now
(BxB) n(CxC)
⇛ {(2,2),(2,3),(2,4),(3,2),(3,3),(3,4),(4,2),(4,3),(4,4)} n
{(3,,3),(3,4,)(3,5),(4,3),(4,4),(4,5),(5,3),(5,4),(5,5)}
⇛ {(3,3),(3,4),(4,3),(4,4,)}
Additional comment:
AxB is the Cartesian product of the two sets A and B on which (a,b) form a belongs to A and b belongs to BAnB is the set of Common elements in both A and BPLEASE HELP! I"LL MARK BRAINLIEST!!!!
△ABC is translated left 3 units to form the image ∆A′B′C′.
What are the coordinates of the vertices of ∆A′B′C′ ?
Enter your answer by filling in the boxes.
A′ =
B′ =
C′ =
Answers
Answer:
a is -1, -2
b is -1, 2
c is 2, 2
Step-by-step explanation:
i hope i helped
Local Internet service costs $685 for 24 months. This includes a one-time installation fee of
$85. What is the monthly fee?
Answers
Answer:
25
Step-by-step explanation:
685-85 = 600
600 divided by 24 = 25
Hope this helps!
no link no bot right please
Answers
9514 1404 393
Answer:
10.49
Step-by-step explanation:
Since we know 110 = 10² +10, we can make a first approximation to the root as ...
√10 ≈ 10 +10/21 . . . . . where 21 = 1 + 2×integer portion of root
This is a little outside the desired approximation accuracy, so we need to refine the estimate. There are a couple of simple ways to do this.
One of the best is to use the Babylonian method: average this value with the value obtained by dividing 110 by it.
((220/21) + (110/(220/21)))/2 = 110/21 +21/4 = 881/84 ≈ 10.49
An approximation of √110 accurate to hundredths is 10.49.
__
The other simple way to refine the root estimate is to carry the continued fraction approximation to one more level.
For n = s² +r, the first approximation is ...
√n = s +r/(2s+1)
An iterated approximation is ...
s + r/(s +(s +r/(2s+1)))
The adds 's' to the approximate root to make the new fraction denominator.
For this root, the refined approximation is ...
√110 ≈ 10 + 10/(10 +(10 +10/21)) = 10 +10/(430/21) = 10 +21/43 ≈ 10.49
_____
Additional comment
Any square root can be represented as a repeating continued fraction.
[tex]\displaystyle\sqrt{n}=\sqrt{s^2+r}\approx s+\cfrac{r}{2s+\cfrac{r}{2s+\dots}}[/tex]
If "f" represents the fractional part of the root, it can be refined by the iteration ...
[tex]f'=\dfrac{r}{2s+f}[/tex]
__
The above continued fraction iteration adds 1+ good decimal places to the root with each iteration. The Babylonian method described above doubles the number of good decimal places with each iteration. It very quickly converges to a root limited only by the precision available in your calculator.
Problem example: For the given sequence: -2,2,6,10,14,18
Write a recursive formula to find the nth term: a = an-1+4
Write a explicit formula to find the nth term: a = -2 + 4(n-1)
What is the 64th term in the sequence?
Answers
Answer:
250
Step-by-step explanation:
You can take the explicit formula and simply substitute the n value with 64:
-2 + 4 * (64 - 1)
-2 + 4 * (63)
-2 + 252
250
In an honors math class of 25 students, 15 are boys and 10 are girls. On the final exam, 6 boys and 3 girls received a grade of A. If a student is chosen at
random from this class, what is the probability of choosing a girl or a student who did not receive an A on the exam?
1
0.76
2
0.64
3
0.40
0.28
Submit Answer
Answers
Answer:
Step-by-step explanation:
b=boy
a= a on the exam
b=15
b∩a=6
b'∩a=3
b'∪a'=?
b'∪a'= b'+a'-b'∩a'
a= b∩a+b'∩a (law of total probability) = 9
a'= 25-9 = 16
b'= 25-15= 10
16+10-7=19
19/25= .76