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3 years ago

Find the solution for the variable X. 2x = 12

Mathematics

1 answer:

Zina [86]3 years ago

4 0

Answer:

x = 6

Step-by-step explanation:

12 / 2

= 6

2 x 6

=12

hope this was helpful! c:

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a bacteria triples it’s original population in 25 hours (A=3A0). How big will it’s population be in 100 hours

Maru [420]

Answer:

81 times the original size

Step-by-step explanation:

AA0ktA=3A0=?=?=25hours=A0ekt

Substitute the values in the formula.

3A0=A0ek⋅25

Solve for k. Divide each side by A0.

3A0A0=e25k

Take the natural log of each side.

ln3=lne25k

Use the power property.

ln3=25klne

Simplify.

ln3=25k

Divide each side by 25.

ln325=k

Approximate the answer.

k≈0.044

We use this rate of growth to predict the number of bacteria there will be in 100 hours.

AA0ktA=3A0=?=ln325=100hours=A0ekt

Substitute in the values.

A=A0eln325⋅100

Evaluate.

A=81A0

At this rate of growth, we can expect the population to be 81 times as large as the original population.

7 0

3 years ago

sally has 10 pounds she wants to buy 28 cans of soda which cost 26p each. how much money does she spend and does she have enough

yuradex [85]

Answer:she dosnt have enough

Step-by-step explanation:bored

7 0

2 years ago

Read 2 more answers

Expand and simplify 3(x+3) - 2(x+2)

DIA [1.3K]

Step-by-step explanation:

3(x+3) - 2(x+2) =

3x + 9 - 2x - 4 =

x + 5

always remember the rules when combining signs and operations (therefore it is -4 at the end after doing the multiplications) :

++ = +

+- = -

-+ = -

-- = +

5 0

3 years ago

Annual starting salaries for college graduates with degrees in business administration are generally expected to have a populati

valkas [14]

Answer:

A sample of 139 should be taken.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.025 = 0.975$ , so Z = 1.96.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

Population standard deviation of $3,000.

This means that $\sigma = 3000$

How large a sample should be taken if the desired margin of error is $500?

A sample of n is needed.

n is found when M = 500. So

$M = z\frac{\sigma}{\sqrt{n}}$

$500 = 1.96\frac{3000}{\sqrt{n}}$

$500\sqrt{n} = 1.96*3000$

Dividing both sides by 500

$\sqrt{n} = 1.96*6$

$(\sqrt{n})^2 = (1.96*6)^2$

$n = 138.3$

Rounding up:

A sample of 139 should be taken.

7 0

3 years ago

A food server examines the amount of money earned in tips after working an 8-hour shift. the server has a total of $133 in denom

IrinaVladis [17]

Here is a system of linear equations that represents the situation.

x +5y +10z +20w = 133 . . . total amount earned

x +y +z +w = 39 . . . . . . . . . total number of bills

y = 4z . . . . . . . . . . . . . . . . . . the number of 5s is 4 times the number of 10s

x = 2y -1 . . . . . . . . . . . . . . . . the number of 1s is 1 less than twice the number of 5s

_____

We can substitute for x and z in the first two equations:

... (2y-1) +5y +10(y/4) +20w = 133

... (2y-1) +y +(y/4) +w = 39

These simplify to

... 9.5y +20w = 134

... 3.25y +w = 40

Solving by your favorite method, you get

... y = 12

... w = 1

So the other values can be found to be

... x = 2·12 -1 = 23

... z = 12/4 = 3

The solution to the system is (x, y, z, w) = (23, 12, 3, 1).

3 0

4 years ago

Find the solution for the variable X. 2x = 12​

Find the solution for the variable X. 2x = 12