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
elena-14-01-66 [18.8K]
2 years ago
10

Simplify to create an equivalent expression. −3(2+4k)+7(2k−1)

Mathematics
2 answers:
Genrish500 [490]2 years ago
7 0

Answer:

\huge\boxed{2k-13}

Step-by-step explanation:

\sf -3(2+4k)+7(2k-1)\\Expanding \ brackets\\-6-12k+14k-7\\Combining \ like \ terms\\-12k+14k-6-7\\2k -13

prisoha [69]2 years ago
6 0
2k-13
First step= -3(2+4K)+7(2k-1)
Second step= -6 - (12k) + 14k- 7
Third step= -12k+14k - 6 -7= 2k-13
You might be interested in
A 500-gallon tank initially contains 220 gallons of pure distilled water. Brine containing 5 pounds of salt per gallon flows int
Wittaler [7]

Answer: The amount of salt in the tank after 8 minutes is 36.52 pounds.

Step-by-step explanation:

Salt in the tank is modelled by the Principle of Mass Conservation, which states:

(Salt mass rate per unit time to the tank) - (Salt mass per unit time from the tank) = (Salt accumulation rate of the tank)

Flow is measured as the product of salt concentration and flow. A well stirred mixture means that salt concentrations within tank and in the output mass flow are the same. Inflow salt concentration remains constant. Hence:

c_{0} \cdot f_{in} - c(t) \cdot f_{out} = \frac{d(V_{tank}(t) \cdot c(t))}{dt}

By expanding the previous equation:

c_{0} \cdot f_{in} - c(t) \cdot f_{out} = V_{tank}(t) \cdot \frac{dc(t)}{dt} + \frac{dV_{tank}(t)}{dt} \cdot c(t)

The tank capacity and capacity rate of change given in gallons and gallons per minute are, respectivelly:

V_{tank} = 220\\\frac{dV_{tank}(t)}{dt} = 0

Since there is no accumulation within the tank, expression is simplified to this:

c_{0} \cdot f_{in} - c(t) \cdot f_{out} = V_{tank}(t) \cdot \frac{dc(t)}{dt}

By rearranging the expression, it is noticed the presence of a First-Order Non-Homogeneous Linear Ordinary Differential Equation:

V_{tank} \cdot \frac{dc(t)}{dt} + f_{out} \cdot c(t) = c_0 \cdot f_{in}, where c(0) = 0 \frac{pounds}{gallon}.

\frac{dc(t)}{dt} + \frac{f_{out}}{V_{tank}} \cdot c(t) = \frac{c_0}{V_{tank}} \cdot f_{in}

The solution of this equation is:

c(t) = \frac{c_{0}}{f_{out}} \cdot ({1-e^{-\frac{f_{out}}{V_{tank}}\cdot t }})

The salt concentration after 8 minutes is:

c(8) = 0.166 \frac{pounds}{gallon}

The instantaneous amount of salt in the tank is:

m_{salt} = (0.166 \frac{pounds}{gallon}) \cdot (220 gallons)\\m_{salt} = 36.52 pounds

3 0
3 years ago
The graph shows the number of books Rahul read, y, compared with the number of books Maggie read, x, over the summer.
DiKsa [7]

Answer:

D. y=2x(4×2)

Step-by-step explanation:

y=8 and x=4 and they are asking about the books that Maggie read how they the books re equal to the ones Rahul read. so y will be equal to x times 2 which is also x+x.

Hope I helped!

7 0
2 years ago
What is2/3 divided by 4/5
Sloan [31]
The answer to this question is 5/6
8 0
3 years ago
Read 2 more answers
Show work / explain it ​
notsponge [240]

Answer:

-4

Step-by-step explanation:

look at the screenshot

6 0
3 years ago
G(x) = 1/3 * (2/9)^x. Does the function model growth or decay?
ElenaW [278]
The function models Exponential Decay due to the fact that as

x -> infinity, y-> 0

4 0
3 years ago
Other questions:
  • What are the steps to do this problem: 5 liters per min is how many liters per hour?
    14·2 answers
  • Which expression can be used to determine the length of segment ZY?
    5·2 answers
  • I don’t u sweat and this
    15·2 answers
  • What is the equation of the line perpendicular to 2x+5y=202x+5y=20 and containing the point (10,−4)(10,−4)?
    9·1 answer
  • X=-3 which is a positive value? A x B x^2 C x^3 D x+3​
    15·1 answer
  • What are the domain and range of the function f(x) = -3 (x-5)^2 + 4?
    10·1 answer
  • Easy answer for free points
    6·2 answers
  • 15 - 10 = _____(3 - 2) PLEASE HELP ON THIS IS DUE TODAY
    10·2 answers
  • you have 26 books.you return some books.then you take out 15 more books.now you have 27 books.how many books did you return? sol
    15·1 answer
  • 1. If 8x + 4y = 44, what is the value of 6x + 3y?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!