1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lukranit [14]
3 years ago
13

Round 16.527 to the nearest tenths place.

Mathematics
1 answer:
Gekata [30.6K]3 years ago
6 0
.......
That would be 16.5.
You might be interested in
In the figure, mDE=118 and mBC=48. The diagram is not drawn to scale. What is m
Brut [27]
Check the picture below

8 0
3 years ago
Read 2 more answers
5. A tank initially contains 20 lb of salt dissolved in 200-gallon of water. Starting at time t = 0, a solution containing 0.5 l
sladkih [1.3K]

Answer:

(a) Amount of salt as a function of time

A(t)=100-80e^{-0.02t}

(b) The time at which the amount of salt in the tank reaches 50 lb is 23.5 minutes.

(c) The amount of salt when t approaches to +inf is 100 lb.

Step-by-step explanation:

The rate of change of the amount of salt can be written as

\frac{dA}{dt} =rate\,in\,-\,rate\,out\\\\\frac{dA}{dt}=C_i*q_i-C_o*q_o=C_i*q_i-\frac{A(t)}{V}*q_o\\\\\frac{dA}{dt}=0.5*4-\frac{A(t)}{200}*4\\\\\frac{dA}{dt} =\frac{100-A(t)}{50}=-(\frac{A(t)-100}{50})

Then we can rearrange and integrate

\frac{dA}{dt}= -(\frac{A(t)-100}{50})\\\\\int \frac{dA}{A-100}=-\frac{1}{50}  \int dt\\\\ln(A-100)=-\frac{t}{50}+C_0\\\\ A-100=Ce^{-0.02*t}\\\\\\A(0)=20 \rightarrow 20-100=Ce^0=C\\C=-80\\\\A=100-80e^{-0.02t}

Then we have the model of A(t) like

A(t)=100-80e^{-0.02t}

(b) The time at which the amount of salt reaches 50 lb is

A(t)=100-80e^{-0.02t}=50\\\\e^{-0.02t}=(50-100)/(-80)=0.625\\\\-0.02*t=ln(0.625)=-0.47\\\\t=(-0.47)/(-0.02)=23.5

(c) When t approaches to +infinit, the term e^(-0.02t) approaches to zero, so the amount of salt in the solution approaches to 100 lb.

7 0
3 years ago
What is the vertex of y=-x^2+4x+3
djverab [1.8K]
I actually don’t know this sorry..yk(for the points)
5 0
3 years ago
Please help,TYSM IF YOU HELP
FrozenT [24]

Answer:

rectangle irregular

Step-by-step explanation:

5 0
3 years ago
The diameter of a circle has length 12. The center is at*(-5, 2). Give the equation
labwork [276]

Answer:

Equation of the circle is : x^{2} + 10x + y^{2} -4y -7 =0

Step-by-step explanation:

Let us consider the image attached in the answer area.

The center<em> O</em> has the co-ordinates i.e. <em>(-5,2)</em> and the diameter given is <em>12 units</em>.

We know that radius is half of diameter.

\text{Radius = }\dfrac{\text{Diameter}}{2}

\text{Radius = }\dfrac{12}{2}\\\Rightarrow \text{Radius = 6units}

The equation for circle given the center and radius, can be represented as:

(x-a)^{2}+ (y-b)^{2} = r^{2}

Where <em>(a,b)</em> is the co-ordinate of center and <em>r</em> is the radius.

Let us consider the following formula:

(p+q)^2 = p^{2}+ q^{2} +2pq\\(p-q)^2 = p^{2}+ q^{2} -2pq

(x-(-5))^{2}+ (y-2)^{2} = 6^{2}\\\Rightarrow (x+5)^{2}+ (y-2)^{2} = 36\\\Rightarrow x^{2} + 25 + 10x +y^{2} + 4-4y=36\\\Rightarrow x^{2} + 10x +y^{2} -4y-7=0

Hence, Equation of the circle is : x^{2} + 10x + y^{2} -4y -7 =0

4 0
3 years ago
Other questions:
  • Someone plzzzz help on #16
    8·1 answer
  • PLEAES CHECK HOMEWORK NEED REALLY SOON
    12·2 answers
  • I have a circle that has a radius of 8 in. What is the circumference of the circle? What is the area of the circle? ( use 3.14 f
    10·2 answers
  • A bag contains 15 dark chocolates, 16 caramel chocolates, and 19 milk chocolates. The probability that Amber’s teacher distribut
    9·2 answers
  • Ax + by = c solve for y
    14·2 answers
  • Which nuber is equivalent to <br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7B3%7D%5E%7B4%7D%20%7D%7B%20%7B3%7D%5E%7B2%7
    7·2 answers
  • HELP PLZZZ<br><br> If f(x)=3x+2, what is f(5)?
    8·2 answers
  • You make a salary of $500 a week and earn
    14·1 answer
  • Please help. It would be greatly appreciated.
    7·1 answer
  • On a coordinate plane, 3 parallelograms are shown. Parallelogram A B C D has points (3, 5), (6, 5), (4, 1), (1, 1). Parallelogra
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!