Answer:
l=13in
Step-by-step explanation:
hope this helps
Answer:
13
Step-by-step explanation:
(40-7*2)/2=20-7=13
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.
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
How much longer is dinner than the slide show?
Slide Show: 4:15 P.M. to 5:10 P.M.
Dinner: 5:30 P.M. to 7:00 P.M.
Answer:
35
Step-by-step explanation:
pls help me I will try to give brainleist bc i don't know how
Answer:
2195
Step-by-step explanation:
filler filler filler lol
Answer: 2,195
Step-by-step explanation:
439x5
9x5=45
3x5+4=19
4x5+1=21
2195
find the area of a circle when the radius is 10cm. Take the value of pi as 3.14
Answer:
314.16 cm squared
Step-by-step explanation:
Find the equation of the line where m = 1 and b = 8.
y = 8 - x
y = 8
y = 8x + 1
y = x + 8
Answer:
Y=x+8
Step-by-step explanation:
pleaseeeeeeeeeeeeeeeeeeeeeeeeeeee answer
Answer:
no its not a function
Step-by-step explanation:
i hope i help ;)
HI.PLS HELP HAVE AN EXAM TOMORROW.
Answer:
A
Step-by-step explanation:
In the question their are black, white, Vertical and horizontal line in option A it is same like the question and A option is same
pls help me!!!!!!!!!!!!!!!!
Answer:
4 for the first one, 1 for the second one
Step-by-step explanation:
3. Sarah has a goal to save $81.84 for a new gan
If she has 12 weeks to save the money, how much does she need
to save each week?
Answer:
Hi!
12x = 81.84
x = 6.82
6.82 dollars every week
What are the odds of not rolling a three on a standard six-sided die?
Answer:
5/6
Step-by-step explanation:
Hope this is helpful
Answer:
5/6
Step-by-step explanation:
Sue ran 7 miles more than Jill last week. Sue ran 11 miles. Which equation will tell you how many miles Jill ran?
A)
x + 7 = 11
B)
X-7 = 11
9
C)
x + 7 = -11
D)
X - 7 = -1
Answer:
The number of miles Jill ran is the number of miles Sue ran (11) minus the number of miles Sue ran more than Jill (7).
So far, x=11-7.
Reorder the equation. Add 7 to both sides.
x + 7 = 11.
So, the correct equation is A.
:)
A) x + 7 = 11
Jill runs x amount of miles and Sue runs x miles plus 7 miles.
If a ½ gallon of paint covers ⅙ of a wall, continuing at this rate how much paint is needed for the entire wall?
Answer:
3 gallons
Step-by-step explanation:
Converting from the US customary system to the metric system, 16 fluid ounces is approximately equal to a) 1 gallon. O b) 160 milliliters. c) 480 milliliters. O d) 960 milliliters.
Answer:
Step-by-step explanation:
B 160 milliliters
what is the distance between the coordinates (9, -2) and (9, 8) show your work on a coordinate grid pleas help mee
Answer:
10
Formular for finding distance between two points; (x2-x1)² + (y2-y1)² (all square root)
X1=9
X2=9
Y1=-2
Y2=8
Distance= (9-9)²+(-2-8)² (all square root)
=(0)²+(-10)² (all square root)
=0 + 100 (square root)
=100 square root
=10
60% of students at a local high school participate in club activities. Rewrite this percent as a fraction
Answer:
The correct answer is 3/5
Step-by-step explanation:
I know its correct :)
Please help and only answer if correct!
Answer: So last time it was 1/4 and 4 so it's no different it just going down by one so it's 1/3 and 3 if it's not I give up.
Step-by-step explanation:
geomtry plz help 15 points
Answer:
[tex]DE=5x-12[/tex]
Step-by-step explanation:
From this we can see this is an equilateral triangle
So, both sides to make every angle equal have to be the same
That's why [tex]DE=5x-12[/tex]
Brainliest please
Answer:
DE = 5x-12 (base angles of isos triangle)
need help asap please !!
Answer:
g(3) = 13
Step-by-step explanation:
The function g(3) means you replace every x value in the g(x) equation with 3:
[tex]g(x) = x^2 + 4\\g(3) = 3^2 + 4\\g(3) = 9 + 4\\g(3) = 13[/tex]
Hope this helps!
Answer:
13
Step-by-step explanation:
putting the 3 there just means to replace all x's with 3. If you do that you get g(3) = 3^2 + 4 and if you solve that its 13
What is 23=5-2/3m ??????
Answer:
Step-by-step explanation:
if it's
23 = 5 - (2/3)m
18 = (-2/3)m
m = 18(-3/2)
m = -27
if it's
23 = 5 - 2/(3m)
18 = -2/(3m)
18(3m) = -2
54m = - 2
m = -2/54
m = - 1/27
Students in a fifth-grade class were given an exam. During the next 2 years, the same students were retested several times. The average score was given by the model f ( t ) = 92 − 4 log 10 ( t + 1 ) , 0 ≤ t ≤ 24 where t is the time in months.
Using the logarithmic function, it is found that:
a) The initial score is of 92.
b) After 6 months, the score is of 88.6.
c) After 18 months, the score is of 86.9.
The average score after t months is modeled by:
[tex]f(t) = 92 - 4\log{(t + 1)}[/tex]
Item a:
The initial score is of f(0), hence:
[tex]f(0) = 92 - 4\log{1} = 92 - 0 = 92[/tex]
The initial score is of 92.
Item b:
After 6 months, the score is of f(6), hence:
[tex]f(6) = 92 - 4\log{7} = 88.6[/tex]
After 6 months, the score is of 88.6.
Item c:
After 18 months, the score is of f(18), hence:
[tex]f(6) = 92 - 4\log{19} = 86.9[/tex]
After 18 months, the score is of 86.9.
A similar problem is given at https://brainly.com/question/24286043
Determine the value of x. Question 4 options: A) 10 B) 5 C) 10 D) 5
Simplify the following expression.
(42x + 59y) + (-14x + 35y)
A.
28x + 94y
B.
56x + 94y
C.
56x + 24y
D.
28x + 24y
Answer:
A. 28x + 94y
Step-by-step explanation:
First, line up the like terms as if you were adding vertically, and combine them.
(42x + 59y)
+ (-14x + 35y)
(28x + 94y)
Hope this helps :)
Please take a look at the picture
Answer:
x=-22.42
Step-by-step explanation:
-18.43=3.99+x
Move the variable to the left-hand side and move the constant to the right. Change their signs.
-x=3.99+18.43
Add.
-x=22.42
Change the signs on both sides of the equation.
x=-22.42
Hope this helps :)
I went to many other places, I saw their answers and turns out the only answer I searched up was wrong!
Answer:
I understand how that feels
Step-by-step explanation:
Find an expression that gives you a quotient
of 16
Answer: Does 32/2 work it equals 16
Step-by-step explanation:
The number expression would be 32/2 which gives 16 after applying the arithmetic operation.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
It is given that:
The quotient is 16
Let us assume 32 and 2 are the numbers that can be use in the number expression
The number expression is:
= 32/2
= 16
Thus, the number expression would be 32/2 which gives 16 after applying the arithmetic operation.
Learn more about the arithmetic operation here:
brainly.com/question/20595275
#SPJ2
Christine made $143 for 11 hours of work.
At the same rate, how many hours would she have to work to make $221?
Answer:
17
Step-by-step explanation:
help me with this i dont understand
Answer:
4
Step-by-step explanation:
Answer:
3Step-by-step explanation:
The scale factor is the ratio of the corresponding sides.
Take the base of both quadrilaterals.
Large quadrilateral:
6 - (-6) = 12Small quadrilateral:
2 - (-2) = 4Scale factor:
k = 12/4 = 3For every 0.3048 meters, there is one foot. Determine the number of feet in 7.9248 meters. Use paper to support your answer.
There are ??
feet in 7.9248 meters.
my friend asked me for help and i forgot how to do this.
Answer:
Wings-3
Dollars-10
try this
Twenty-five students were randomly selected and asked "How many hours of TV did you watch this weekend?" The sample mean for the data is 5 hours.
The dotplot below shows the distribution of the sample mean hours of TV watched for 500 random samples of size 25 taken with replacement from the
original sample.
45
6
S.S
Simulated sample mean
Distribution of Simulated Mean
• samples mean SD
500 4.969 0.288
Use the results of the simulation to approximate the margin of error for the estimate of the mean number of hours of television watched. (answer in the
format 0.123)
Using a confidence level of 95%, the margin of error for the estimate of the mean number of television hours watched will be 1.129
The approximate margin of error can be calculated using the relation :
Margin of Error = [tex] Z_{\frac{α}{2}} \frac{σ}{\sqrt{n}} [/tex] Sample size, n = 25 Standard deviation, = 2.88Confidence level = 95% [tex] Z_{\frac{α}{2}} = 1.96 [/tex]Margin of Error = [tex] 1.96 \frac{2.88}{\sqrt{25}} [/tex]
Margin of Error = [tex] 1.96 \frac{2.88}{5} [/tex]
Margin of Error = [tex] 1.96 \times 0.576 [/tex]
Margin of Error = [tex] 1.129 [/tex]
Therefore, the margin of error for the estimate of the mean number of television hours watched is 1.129.
Learn more : https://brainly.com/question/25630111