Answer: 34 days
Step-by-step explanation:
To find out the amount of pages he needs to read each day at the rate of 6 pages/day is 204/6. (we divide 204 by 6 because that is 215-11, since he already read 11 pages) this is 34
Solve for b:
d(c-b)=a
Answer:
D/a=c-b
(D/a)+b=c
That's the answer
Step-by-step explanation:
Water is being pumped into a conical tank that is 8 feet tall and has a diameter of 10 feet. If the water is being pumped in at a constant rate of 3/5 cubic feet per hour, at what rate is the depth of the water in the tank changing when the tank is half full
The rate of change of the depth of water in the tank when the tank is half
filled can be found using chain rule of differentiation.
When the tank is half filled, the depth of the water is changing at 1.213 ×
10⁻² ft.³/hour.
Reasons:
The given parameter are;
Height of the conical tank, h = 8 feet
Diameter of the conical tank, d = 10 feet
Rate at which water is being pumped into the tank, = 3/5 ft.³/hr.
Required:
The rate at which the depth of the water in the tank is changing when the
tank is half full.
Solution:
The radius of the tank, r = d ÷ 2
∴ r = 10 ft. ÷ 2 = 5 ft.
Using similar triangles, we have;
[tex]\dfrac{r}{h} = \dfrac{5}{8}[/tex]
The volume of the tank is therefore;
[tex]V = \mathbf{\dfrac{1}{3} \cdot \pi \cdot r^2 \cdot h}[/tex]
[tex]r = \dfrac{5}{8} \times h[/tex]
Therefore;
[tex]V = \dfrac{1}{3} \cdot \pi \cdot \left( \dfrac{5}{8} \times h\right)^2 \cdot h = \dfrac{25 \cdot h^3 \cdot \pi}{192}[/tex]
By chain rule of differentiation, we have;
[tex]\dfrac{dV}{dt} = \mathbf{\dfrac{dV}{dh} \cdot \dfrac{dh}{dt}}[/tex]
[tex]\dfrac{dV}{dh}=\dfrac{d}{h} \left( \dfrac{25 \cdot h^3 \cdot \pi}{192} \right) = \mathbf{\dfrac{25 \cdot h^2 \cdot \pi}{64}}[/tex]
[tex]\dfrac{dV}{dt} = \dfrac{3}{5} \ ft.^3/hour[/tex]
Which gives;
[tex]\dfrac{3}{5} = \mathbf{\dfrac{25 \cdot h^2 \cdot \pi}{64} \times \dfrac{dh}{dt}}[/tex]
When the tank is half filled, we have;
[tex]V_{1/2} = \dfrac{1}{2} \times \dfrac{1}{3} \times \pi \times 5^2 \times 8 =\mathbf{ \dfrac{25 \cdot h^3 \cdot \pi}{ 192}}[/tex]
Solving gives;
h³ = 256
h = ∛256
[tex]\dfrac{3}{5} \times \dfrac{64}{25 \cdot h^2 \cdot \pi} = \dfrac{dh}{dt}[/tex]
Which gives;
[tex]\dfrac{dh}{dt} = \dfrac{3}{5} \times \dfrac{64}{25 \cdot (\sqrt[3]{256}) ^2 \cdot \pi} \approx \mathbf{1.213\times 10^{-2}}[/tex]
When the tank is half filled, the depth of the water is changing at 1.213 × 10⁻² ft.³/hour.
Learn more here:
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please help ill mark brainliest
Answer:
last one
Step-by-step explanation:
simplify this expression 5r + 3 - r + s - 3s.
Answer:
4r -2s+3
Step-by-step explanation:
how to factor x squared plus x minus 12
Answer:
(x+4)(x-3)
Step-by-step explanation:
You have to find factors of 12 that also add together to make 1 (coefficient of x is 1) and factors that multiply together to make x^2.
4×-3=-12
4+-3=1
x×x=x^2
Write a function g whose graph represents the indicated transformation of the graph of f.
g ( x ) =
g ( x ) = -f-4
I'm sorry if this is wrong I think that's it but I kinda suck at functions
Hi!!!!!HiiiiiIiiiiiiiii
if u help me ill give u brainliest just fill in the blank
Answer:
I'm not doing this to steal points, but I can't see the painting. So yeah, sorry. Plese insert a image of that painting next time. Sorry.
Step-by-step explanation:
Answer:
agreed can't see the whole problem
Step-by-step explanation:
AKA the painting
Does anyone know this?
Answer:
7sqrt2
Step-by-step explanation:
If angle K is 45 degrees then angle L will be 45 degrees
This means LM and KM will be the same length
Using pythagoras theorem you get KL =7sqrt2
Need help. It’s iterations and all info should be on image
a) Using the given recurrence,
[tex]x_2 = \dfrac{{x_1}^3-1}4 = \dfrac{(-1)^3-1}4 = -\dfrac12 = -0.5[/tex]
[tex]x_3 = \dfrac{{x_2}^3-1}4 = \dfrac{\left(-\frac12\right)^3-1}4 = -\dfrac9{32} = -0.28125[/tex]
b) Proceeding as above, you'll find that successive values of [tex]x_n[/tex], starting at n = 7, gravitate towards a solution of about -0.254102.
To the nearest degrees. What is the measure of the acute angle formed by Jefferson st and Maddison st?
Answer:
The answer is 63 degrease
multiply: (2.2x10^4) • (7.1x10^3)
write your answer in scientific notation.
Answer:
Step-by-step explanation:
(2.2×10^4)*(7.1×10³)
=(2.2×7.1)×10{4+3}
=15.62×10^7
=1.562×10^8
x^2+4/2 when x =-2 giving brainliest
Answer:
When x = -2 in (x² + 4)/2, 4 is the result.
Step-by-step explanation:
(x² + 4)/2
Substitute value into varaible.
((-2)² + 4)/2
Square -2. Remeber that (-x)² = x²
(4 + 4)/2
Add 4 and 4.
8/2
Divide 8 by 2.
4
What is the slope of any line that is perpendicular to the line = y - 5 = 3/2 * (x + 1)
Answer:
-2/3
Step-by-step explanation:
Marco needs to buy some cat food. At the nearest store, 2 bags of cat food cost $8.50. How much would Marco spent on 3 bags of cat food ?
Answer:
12.75
Step-by-step explanation:
8.50 Divided by 2=4.25
1 bag of cat food=4.25
Meaning, 4.25x3=
12.75
Your Welcome Hope it Helps!! (Brainlist maybe? :D)
Answer:
Step-by-step explanation:
2x 8.50 = 17
so than say 3x8.50 = 25.5 that’s your answer hope it helps
Synthetic division. (X^3-8x^2+17x-10)+{x-5
Answer:
https://www.symbolab.com/
Step-by-step explanation:
it will help trust me
The measure of angle W is ...
Answer:
X+3x+2x=180
6x=180
x=30
2*30=60
w=60 degrees
please help me and my friend need the answer
Answer:
20m-60 = 280
Step-by-step explanation:
1. Start off defineing a variable, let’s call it m for months.
2. We know that she saves 20$ every month, so we can just divide the total to find the number of months. But, she withdrew $60. We can add those back to get the total she saved. So we have
280 + 60 = 340
Then we can divide by 20:
340/20 = 17.
So the equation would be
20m - 60 = 280.
I hope this helps!
A bicycle has a listed price of $794.95 before tax. if the sales tax rate is 8.75% find the total cost of the bicycle with sales tax included.
round your answer to the nearest cent, as necessary.
Answer:
Step-by-step explanation:
$794.95(1.0875) = 864.508125 = $864.51
x×cos[tex]\frac{y}{x}[/tex]× (ydx +xdy)= y×sin[tex]\frac{y}{x}[/tex]×(xdy- ydx)
Looks like you're given
x cos(y/x) (y dx + x dy) = y sin(y/x) (x dy - y dx)
Like with your other equation, multiply by 1/x² on both sides:
cos(y/x) (y/x dx + dy) = y/x sin(y/x) (dy - y/x dx)
Then substitute z = y/x again, so y = xz and dy = x dz + z dx. You end up with a separable equation.
cos(z) (z dx + x dz + z dx) = z sin(z) (x dz + z dx - z dx)
cos(z) (2z dx + x dz) = xz sin(z) dz
2z cos(z) dx = x (z sin(z) - cos(z)) dz
(z sin(z) - cos(z)) / (z cos(z)) dz = 2/x dx
(tan(z) - 1/z) dz = 2/x dx
Integrate both sides:
∫(tan(z) - 1/z) dz = ∫ 2/x dx
-ln|cos(z)| - ln|z| = 2 ln|x| + C
ln|cos(z)| + ln|z| = -2 ln|x| + C
ln|z cos(z)| = ln(1/x²) + C
z cos(z) = C/x²
Solve in terms of y :
(y/x) cos(y/x) = C/x²
y cos(y/x) = C/x
The equation 2x + 5 = 3x + 2 represents the cost in dollars, x, of a school lunch. Solve the equation. Write the solution as a whole number or
decimal
The solution of the given equation 2x + 5 = 3x + 2 is 3.
What is the equation?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
The equation must be constrained with some constraints.
As per the given equation,
2x + 5 = 3x + 2
2x + 5 - 2x = 3x + 2 - 2x
2x - 2x + 5 = 3x - 2x + 2
5 = x + 2
5 - 2 = x + 2 - 2
3 = x
Hence "The solution of the given equation 2x + 5 = 3x + 2 is 3".
For more about the equation,
brainly.com/question/10413253
#SPJ2
A rectangular room is 1.8 times as long as it is wide, and its perimeter is
31 meters. Find the dimensions of the room.
Length: meters
Width: meters.
Find the percent decrease. Round to the nearest percent.
From 125 pounds to 122 pounds
The percent decrease is
%.
Answer:
decrease 3%
Step-by-step explanation:
sana makatulongggg
41% is 406 of what number
Solve For X. With explanation please.
Answer:
For the first one x=5
Step-by-step explanation:
25*5=125-3=122. making the missing angle 58, 180-122=58. 6*5=30-1=29. 29+93+58=180.
Sorry I didn't solve the second one, I might afterward.
Answer:
19) x = 5
20) x = 11
Step-by-step explanation:
The applicable relation in each case is that the exterior angle is equal to the sum of the remote interior angles.
__
19)25x -3 = 93 +(6x -1) . . . . . use the known relationship
19x = 95 . . . . . . . . . . . . add 3 -6x and simplify
x = 5 . . . . . . . . . . . . divide by 19
__
20)12x -7 = 45 +(8x -8) . . . . . use the known relationship
4x = 44 . . . . . . . . . . . . . add 7-8x and simplify
x = 11 . . . . . . . . . . . . divide by 4
24. A political discussion group consists of 30 Republicans,
25 Democrats, 8 Independents, and 4 members of the Green
party. If one person is randomly selected from the group, find
the probability of choosing an Independent or a Green.
Answer:
12 /67
Step-by-step explanation:
I added everything up to get 67 then I added independent and green together to get 12
Are (4³)³ and 4³ • 4³ equivalent?
Answer:
[tex](4^3)^3=262144\\4^3*4^3=4096[/tex]
Step-by-step explanation:
What is the answer for this?
Answer:
NOStep-by-step explanation:
7² + 7² = 9²
49 + 49 = 81
98 = 81
false
Optimus and bumblebee have a total monthly income of $4450 after taxes.Last month, they spent $801 on food and $267 on utility bills.
Answer:
a
Step-by-step explanation:
just took the test
The perimeter of a square is 44 inches. Find the length of one side
Answer:
11
Step-by-step explanation:
While I square, all the sides of square are the same side, right on the same length. So therefore, um, one side of the square must be equal to well 44 divided by four because they're all the same length. So therefore, one side of the square is just 44 divided by four, which is 11.
