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If functions transfer some a to b via some formula, then inverse of such functions transfer b to a via some other formula.

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Answer:

250,000

Step-by-step explanation:

Answer:

x=4

Explanation:

3x+x−2x+8=3x+x

Step 1: Simplify both sides of the equation.

3x+x−2x+8=3x+x

3x+x+−2x+8=3x+x

(3x+x+−2x)+(8)=(3x+x)(Combine Like Terms)

2x+8=4x

2x+8=4x

Step 2: Subtract 4x from both sides.

2x+8−4x=4x−4x

−2x+8=0

Step 3: Subtract 8 from both sides.

−2x+8−8=0−8

−2x=−8

Step 4: Divide both sides by -2.

−2x−2=−8−2

x=4

Answer:

Step-by-step explanation:

Words to describe the set:

A set can also be described by just defining it using plain words. For example, the set A= {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday} can be described using words like “the set of days of the week”. Another example can be “the set of months of the year”.

Answer:

1/12

Step-by-step explanation:

3/4-2/3 = 9/12-8/12 = 1/12

Answer: The population after 3 hours is 13.9 mill.

Step-by-step explanation:

When we have an exponential with:

A  = initial population.

r = constant relative growth rate:

t = time.

The function that models this is:

P(t) = A*e^(k*t)

In this case we know that:

A = 3.9 mill.

r = 0.4225 1.

Then the function that models the population of this yeast cell is:

P(t) = (3.9 mill)*e^(0.4225*t)

where t represents the time in hours.

Then if we want to know the population after 3 hours, we should replace t by 3.

P(3) = (3.9 mill)*e^(0.4225*3) = 13.85 mill.

And we want to round our answer to one decimal place, then we must look at the second decimal place, we can see that is a 5, so we should round up.

The population after 3 hours is 13.9 mill.

The exponential function is often used to model the growth or decay of a population

The population size of the yeast cell after 3 hours is 7.9 million

The given parameters are:

[tex]\mathbf{a = 3.9m}[/tex] --- initial number of cells

[tex]\mathbf{r = 0.4225/hr}[/tex] --- rate

The nth term of an exponential function is:

[tex]\mathbf{f(n) = a(1 + r)^{n-1}}[/tex]

After 3 hours; n = 3

So, we have:

[tex]\mathbf{f(3) = a(1 + r)^{3-1}}[/tex]

Substitute values for a and r

[tex]\mathbf{f(3) = 3.9(1 + 0.4225)^{3-1}}[/tex]

[tex]\mathbf{f(3) = 3.9(1 + 0.4225)^{2}}[/tex]

[tex]\mathbf{f(3) = 3.9 \times (1.4225)^{2}}[/tex]

[tex]\mathbf{f(3) = 7.9}[/tex]

Hence, the population size of the yeast cell after 3 hours is 7.9 million

Read more about exponential functions at:

https://brainly.com/question/3127939

Answer:

9/10

Step-by-step explanation:

2 2/5 - 1 1/2

Get a common denominator of 10

2 2/5 *2/2 =  2 4/10

1 1/2 *5/5 = 1 5/10

2 4/10 - 1 5/10

Borrow from the 2 as 10/10

1 + 10/10 +4/10   - 1 5/10

1 14/10 - 1 5/10

9/10

Answer:

A=a2=192=361in²

Step-by-step explanation:

Answer:

121,436 to the nearest ten thousand

Step-by-step explanation:

Answer:

Step-by-step explanation:

Pamela has 15 different books. In how many ways can she place her books on two selves so that there is at least one book on each shelf? (Consider the books in each arrangement to be stacked one next to the other, with the first book on each shelf at the left of the shelf.)

Initially, I thought that this would be fairly straight forward. There are two cases where either shelf could be empty and so we would subtract 2 from the total number of permutations which is obviously 15!. It is obvious now that both of these statements are false.

My previous thoughts didn't take into account the fact that there are two shelves and that the books could be stacked in such a way that 5 are on the top shelf and 10 are on the bottom, or 8 on top with 7 on bottom, or any number of other ways. I believe there are 214 ways the books can be distributed amongst the two shelves (keep in mind that each shelf has to have at least one book, 15−1=14) if the ordering of the books didn't matter, but it does. Is this correct?

t is -1

g ( t ) = 6t-1

g (-1) = 6(-1)-1

= -6-1 = -7

Answer:

the answer is 5.44 feet

Step-by-step explanation:

Add me

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the measurement of Rectagle A = 8in by 2in. If rectangle B is a scaled copy, this means the length and with of the new triangle by be that of A multiplies by a constant factor.

If the scale is 5:1, this means that the dimension of Rectangle B is as shown;

Length of B = 5(8in) = 40in

Width of new Rectangle B = 2(5) = 10in

Hence the measurement pairs that could be the dimensions of Rectangle B are 40in by 10in

the rest of the measurement are not multiplied by a constant value.

Answer:

I'm pretty sure its one solutions

Step-by-step explanation:

Answer:

One solution

Step-by-step explanation:

B. One solution is the correct answer

Answer:

2x + 3y = 6

Step-by-step explanation:

Answer:

y=4/5x-2

Step-by-step explanation:

Answer:

8^8/3

Step-by-step

Answer:

D

Step-by-step explanation:

Just graph both inequalities and plug in 0 to see which way it goes.

Answer:

The after-tax rate for the Corporate Bond when the tax rate is 10% is 9.35%

Step-by-step explanation:

The investor is better of at any rate above 30%, i.e 31% of tax rate would give the investor 7.1691% return ( 10.39  −  ( 10.39  ⋅  31 % ) )

Thus the return from the tax exempt municipal bond would be higher than the return from the taxable corporate bond.

The after-tax rate for the Corporate Bond when the tax rate is 10% is 9.35%( 10.39  −  ( 10.39  ⋅  10 % ) )

Answer:

D. The opposite of -4 is  equal to the absolute value of -4.

Step-by-step explanation:

Answer:

no. in an isometric transformation, the side lenths all stay the same. in this transformation (which is a dilation), the size lengths decreased, so it is not isometric.

Step-by-step explanation:

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[tex]g(x) = | \frac{1}{5}x | \\ [/tex]

Thus the correct answer is (( B )) .

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Given parameters:

Coordinates of end points =  (2, -3) and (-6,5).​

 Slope of line  = [tex]\frac{9}{7}[/tex]

Unknown:

Equation of the line with the given slope = ?

Solution:

Let us find the coordinates of the mid-point of the line given.

   Since the end points are (2, -3) and (-6,5);

   Midpoint;

            x, y = [tex]\frac{x_{1} + x_{2} }{2}[/tex] , [tex]\frac{y_{1} + y_{2} }{2}[/tex]  

            x, y = [tex]\frac{2 + (-6)}{2}[/tex]  ,  [tex]\frac{-3 + 5}{2}[/tex]   = -2 , 1

The coordinate of the mid point = -2,1

Equation of a line is;

                  y = mx + c

x and y are the coordinates

     m is the slope

     c is the y intercept

We need to find c in order to fully develop our equation;

             y = mx + c

              y = 1 , x = -2 and m = [tex]\frac{9}{7}[/tex]

So,

           1 = [tex]\frac{9}{7}[/tex] x (-2) + c

            c  = 1 + [tex]\frac{18}{7}[/tex]   = [tex]\frac{25}{7}[/tex]

Now, the equation of the line is;

              y = -2x + [tex]\frac{25}{7}[/tex]  

Multiply through by 7,

            7y = -14x + 25

The equation of the line is 7y = -14x + 25

Answer:

500,000

Step-by-step explanation:

You have a 9 in the ten thousand, round up and get 500,000

Answer:

The Answer is B

Step-by-step explanation:

Trust me i did it

Answer:

B ANSWER IS B

Step-by-step explanation: