MATHEMATICS HIGH SCHOOL

Solve: -4 (2x + 11) = -x + 12

Answers

Answer 1

Answer: The answers is X = -8

Answer 2

Answer:

Answer:

x=-8

Step-by-step explanation:

Multiply -4 by each number in the parenthesis ( distributive property )

Add x to -8x ( -7x )

Add 44 to 12 ( 56 )

Divide 56 and -7

You should get x=-8

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If a substance has a half life of 850 years, and there are 35 milligrams present now, how long will it take for the substance to be reduced to 10 miligrams calculus

Answers

This is a problem involving differential equation. The rate of decaying substance is directly proportional to the amount of substance.
dP/dt = kA
where k = proportionality constant, A = amount of subtance.

Integrating that equation yields,
A = ce^(kt)
where c = constant of integration.
The constant of integration is represented mostly as an initial amount of substance.

We have given two initial condition:
(1) t = 0, A = 35 milligrams (present)
(2) t = 850 years, A = 35/2 milligrams (half-life)

We are going to solve for c:
35 = ce^0
c = 35

Next, solving for k:
35/2 = 35e^(k*850)
1/2 = e^(k*850)
Multiplying natural logarithm on both sides to bring down k:
ln (1/2) = k*850
k = ln (1/2) / 850
k = -0.00081547

Finally, the time when the amount of substance has 10 milligrams remaining is:
10 = 35e^(-0.00081547*t)
10/35 = e^(-0.00081547*t)
Multiplying natural logarithm on both sides to bring down t:
ln (2/7) = -0.00081547*t
t = ln (2/7) / -0.00081547
t = 1536.25 years (ANSWER)

Please help me with this question please help

Answers

It is 4.6 and you just round it to 5 and that’s it

A movie theater charges $10 per ticket and seven dollars for each bucket of popcorn write the equation in slope intercept form that would represent the cost of why of the one person going to the movie and buying X buckets of popcorn

Answers

Answer:

y = 7x +10

Step-by-step explanation:

The cost for the person will be 7x for the popcorn and 10 for the ticket, for a total of ...

y = 7x +10

What's the game called thFind the volume of a cube whose surface area is 294 m2.at the kids are playing without August knowing?

Answers

Answer:

294cm² is the total area of the cube

area = 6c²

cubic side = 294/6c²

c²= 294/6=49

cubic side = √49=7m

the volume of the cube =c^3

Vcubed =7^3=343m^3

for the rest I don't know the game

Step-by-step explanation:

A system of equations is given below: y = –2x + 1
6x + 2y = 22

Which of the following steps could be used to solve by substitution?

6x + 2(−2x + 1) = 22
−2x + 1 = 6x + 2y
6(−2x + 1) + 2y = 22
6(y = −2x + 1)

Answers

Answer:

The steps that could be used to solve by substitution is:

6x + 2(−2x + 1) = 22

Step-by-step explanation:

Substitution method--

The method of substitution states that from a equation the value of one variable is substituted in form of the other variable into the other equation.

From the first equation we have the value of y in terms of x as:

y = -2x + 1

Also, we have equation (2) as:

6x + 2y = 22

Hence, on putting the value of y we have:

6x+(-2x+1)=22

The answer is A

Because this where you gonna start your substitution

Andrew purchased a car for $19,500 the value of tge car depreciates at a rate of 8.6% each year which equation models the value of andrew car y after x years

Answers

If the value depreciates 8.6%, it is 91.4% of what it was the year before. The value can be modeled by-

y = 19,500(0.914)^x

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