El tamaño de cierto cultivo de bacterias se multiplica por 2 cada 30 minutos. Si suponemos que el cultivo tiene inicialmente 256 de bacterias, ¿Cuántas bacterias habrá transcurridas 3 horas? Cree un modelo matemático y exprese su respuesta como una potencia

Answer:

1.0 mL each day

Step-by-step explanation:

The required daily dosage of vitamin D is 10 micrograms.

The supplement contains 5 micrograms per 0.5mL.

The volume of supplement necessary to fulfill the daily requirements of vitamin D is:

\(V=\frac{0.5\ mL}{5\ mcg}*10\ mcg\\ V=1.0\ mL\)

She should administer 1.0 mL of the supplement each day.

Answer:

5/2

Step-by-step explanation:

ratio of sides=(√25)/(√4)=5/2

Answer:

(2,3) ; (-2.11)

Step-by-step explanation:

Answer:

(2, 3); (-2, 11)

Step-by-step explanation:

f(x) = x² - 2x + 3

f(x) = -2x + 7

f(x) = f(x)

x² - 2x + 3 = -2x + 7

x² = 4

x = ±2

x = 2

f(2) = -2(2) + 7 = -4 + 7 = 3

x = -2

f(-2) = -2(-2) + 7 = 4 + 7 = 11

Answer: (2, 3); (-2, 11)

The travel time x is 41.162 min such that 17.36% of the 60 days have a travel time that is at least x.

We have to determine the travel time such that 17.36% of the 60 days have a travel time that is at least.

Total work days to work = 60 days

The travel mean time = 35.6

Standard deviation = 10.3

For normal distribution,

P(X < A) = P(Z < (A - mean)/standard deviation)

P(X > x) = 0.2946

P(X < x) = 1 - 0.2946 = 0.7054

P(Z < (x - 35.6)/10.3) = 0.7054

Take the z value that corresponds to 0.7054 in the table of the standard normal distribution.

(x - 35.6)/10.3 = 0.54

x = 41.162 min

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The distance from Jade's house to the coffee shop is 5 miles.

Let's assume the distance from the coffee shop to Jade's school is represented by the variable "x."

According to the given information, the distance from Jade's house to the coffee shop is 3 miles more than twice the distance from the coffee shop to Jade's school. We can express this as:

Distance from Jade's house to the coffee shop = 2x + 3

Furthermore, the total distance from Jade's house to her school is 5 times the distance from the coffee shop to her school. Mathematically, we can write:

Distance from Jade's house to her school = 5x

Since we're looking for the distance from Jade's house to the coffee shop, we can set up an equation by equating the two expressions for the total distance:

2x + 3 = 5x

To solve for x, we can subtract 2x from both sides of the equation:

3 = 3x

Dividing both sides by 3, we find:

x = 1

Now that we know x represents the distance from the coffee shop to Jade's school, which is 1 mile, we can substitute this value back into the equation for the distance from Jade's house to the coffee shop:

Distance from Jade's house to the coffee shop = 2x + 3 = 2(1) + 3 = 2 + 3 = 5

Therefore, the distance from Jade's house to the coffee shop is 5 miles.

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Answer:

x + .35X - .11(x - .35x)

Step-by-step explanation:

Let x = the original price of the stock.

x + .35x  This is first year

-.11( x + .35x) is the second year

x + .35X - .11(x - .35x)

The given system of equations to have a Unique solution, the value of k must be any real number except 1 (k ≠ 1).

The value of k for which the given system of equations has a unique solution, we can use the concept of determinants. The system of equations is as follows:

kx + 2y = 3   -- (1)

3x + 6y = 10  -- (2)

To have a unique solution, the determinant of the coefficients of x and y must not be zero.

The determinant of the coefficient matrix for the system is:

D = | k   2 |

       | 3   6 |

By calculating the determinant, we have:

D = (k * 6) - (2 * 3)

D = 6k - 6

For the system to have a unique solution, the determinant D must not equal zero.

6k - 6 ≠ 0

Simplifying the inequality:

6k ≠ 6

Dividing both sides by 6:

k ≠ 1

Therefore, for the given system of equations to have a unique solution, the value of k must be any real number except 1 (k ≠ 1).

In other words, if k is not equal to 1, the system of equations will have a unique solution. If k is equal to 1, the system will either have infinitely many solutions or no solution.

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Mia's error is in step 4

Factorization involves splitting a function into several factors

The steps in factorizing the expressions are:

Step 1: x^2 + 6x - 2x  -12

Step 2: (x^2 + 6x) - (2x + 12)

Step 3: x(x + 6) - 2(x + 6)

Step 4: (x + 6)(x + 2)

From the step 3 to step 4, the resulting expression should be

(x + 6)(x - 2)

However, the step 4 of the expression is (x + 6)(x + 2)

The expected expression and the actual expression in step 4 are different.

Hence, Mia's error is in step 4

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Answer:

$37.76

Step-by-step explanation:

32*1.18=37.76.

Hope this helps!

Answer:

31

Step-by-step explanation:

The time-series model that assumes that demand in the next period will be equal to the most recent period's demand is A) Naive approach.

This model is based on the simplest assumption of all, that the next period's demand will be equal to the current period's demand. It is called the naive approach because it assumes no underlying pattern in the data and provides a baseline prediction. The formula for the naive approach is as follows:

y(t) = y(t-1) where y(t) represents the demand in period t and y(t-1) represents the demand in the previous period.

Although this model is simple, it is often used as a benchmark for comparison with more complex models and can provide reasonable results for stable demand patterns.

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Step-by-step explanation:

since m<CBA = m<EDA = 90

, < A is a common angle

then : triangle EDA is similar to triangle CBA

then : 11/3+X = 2/3

33=6+2X

27=2X

X=13.5

Answer:

OK so I'm not that good at math but the answer should be.. $175?

Step-by-step explanation:

I  don't know if that's right answer or not so... :/

Graph option B is the correct answer.

Graphical representation refers to the use of charts and graphs to visually display, analyse, clarify, and interpret numerical data, functions, and other qualitative structures.

Given are function,

y = x+1 ≤0 and y = 3x

The best demonstration of these functions can be seen in graph 2.

Hence, Graph option B is the correct answer.

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i think it depends on if you have enough money to buy the books you need so C would be the answer

The company's total amount of income that is earned is $136,500.

Profit is the difference between revenue and expenses. Income is the total revenue that is earned by a company before any deductions. Expenses include all the cost incurred in running a business. Income is the sum of profit and expenses. A venture is profitable only if the revenue is greater than expenses.

Profit = income - expenses

Income = profit + expenses

$35,000 + 101,500 = $136,500

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Answer:

x=y+  11/5

x= 3/4y+5/4

Step-by-step explanation:

Answer:

Concept: Elimination

We find that the probability of a randomly generated sequence of 24 binary digits having exactly half of the digits as 0s is C(24, 12) / 2^24.

To find the probability that exactly half of the 24 binary digits are 0s in a randomly generated sequence, we can use the following steps:
Determine the total number of possible sequences.
Since there are 24 binary digits and each digit can be either 0 or 1, the total number of possible sequences is 2^24.
Calculate the number of sequences with exactly 12 0s.
In a sequence of 24 binary digits, we want to choose 12 positions for the 0s. This can be done using the combination formula, which is C(n, k) = n! / (k!(n-k)!), where n is the total number of digits and k is the number of 0s. In this case, n = 24 and k = 12. So, C(24, 12) = 24! / (12! * (24-12)!).
Compute the probability.
Divide the number of sequences with exactly 12 0s by the total number of possible sequences. Probability = C(24, 12) / 2^24.
By following these steps, we find that the probability of a randomly generated sequence of 24 binary digits having exactly half of the digits as 0s is C(24, 12) / 2^24.

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Answer:

Yes.

Here’s an easy (and cheap) one:  \(\\\\\sqrt 2\\-\sqrt 2\)

In fact, I can find a formula for them.

The two numbers will always be of the form:

\(x_1 =a+b\sqrt c \\x_2 =a-b\sqrt c \\\)

A and B are rational

C is rational and not a perfect square of a rational number

These are irrational because the square root will not resolve to a rational number.

12=(+√)(−√)=2−(√)2=2−2 . Looks rational to me.

1+2=+√+−√=2 , which also is rational.

Hope this helped!

Answer:

partA option B is the correct answer

partB option A is the correct answer

Answer:B

Step-by-step explanation:

Answer:

b=-12.5

Step-by-step explanation:

\( - 9 - b = 3.5 \\ - b = 3.5 + 9 \\ - b = 12.5 \\ b = - 12.5\)

If sample has mean-mass of 2.47 grams and standard-deviation of 0.04 gram, then test-statistic for population mean has (d) a "t-distribution" with 9 degrees-of-freedom.

A "test-statistic" is defined as a value calculated from a sample of data which is used in hypothesis testing.

The test statistic(t) for population mean can be calculated using formula:

⇒ t = (x' - μ)/(s/√n),

where x' = sample mean, μ = population mean, s = sample standard deviation, and n = sample size,

Substituting the values,

We get,

⇒ t = (2.47 - 2.5)/(0.04/√10) ≈ -2.38,

Since the population standard deviation is unknown, we need to use the t-distribution to find the p-value and make a conclusion about the null hypothesis.

The degrees-of-freedom for the t-distribution is = n - 1 = 10 - 1 = 9.

Therefore, the test statistic for the population mean has a t-distribution with 9 degrees of freedom, the correct option is (d).

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The given question is incomplete, the complete question is

The distribution of mass for United States pennies minted since 1982 is approximately normal with mean 2.5 grams. A random sample of 10 pennies minted since 1982 was selected. The sample had a mean mass of 2.47 grams and a standard deviation of 0.04 gram.

The test statistic for the population mean has which of the following distributions?

(a) A normal distribution with mean 0 and standard deviation 1,

(b) A normal distribution with mean 2.5 and standard deviation 0.04,

(c) A normal distribution with mean 2.47 and standard deviation 0.04,

(d) A t-distribution with 9 degrees of freedom,

(e) A t-distribution with 10 degrees of freedom.

Answer:

D. direct variation; y = 1.5x

Step-by-step explanation:

9/6 = 1.5

12/8 = 1.5

answer is C Direct variation, y = 1.5x

...............................................................................................................................................

The answer is c. Direct variation; y=1.5x

Step-by-step explanation:

Option (B), he could survey the first ten people who use the vending machine on a Monday morning is the correct answer.

"Random sampling is a part of the sampling technique in which each sample has an equal probability of being chosen. A sample chosen randomly is meant to be an unbiased representation of the total population".

For the given situation,

Kofi wants to find the most-liked snacks to put in the vending machine at his office so the most people will buy from it.

Random sampling can be done on the basis of surveying the employees who are using vending machines.

Hence we can conclude that option (B), he could survey the first ten people who use the vending machine on a Monday morning is the correct answer.

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Answer:

B) Six Months.

Step-by-step explanation:

We can write an equation to model each situtation.

Let m be the number of months and c be its total cost.

Uptown Cable charges $120 for the initial installation fee plus $25 per month. In other words, its total cost is:

\(c=120+25m\)

Downtown Cable charges an initial $60 fee plus $35 per month. So:

\(c=60+35m\)

To find after how many months will the two services remain the same, we can set the two equations equal to each other and solve for m. So:

\(120+25m=60+35m\)

Solve for m:

\(60=10m\Rightarrow m=6\)

The two cable companies will charge the same after six months of use.

Notes:

If the customer uses the service for less than six months, then Downtown Cable is better since its initial cost is lower.

If the customer uses the service for more than six months, then Uptown Cable is better since its rate per month is lower.

Answer:

2.625

Step-by-step explanation:

2 2/7 in decimal form is 2.2857

6 / 2.2857 = 2.625

Answer:

11

Step-by-step explanation:

First subtract

19-8= Z

So solution would be

Z=11

Answer:

z=11

Step-by-step explanation:

step 1:simplify both sides of the equation

z+8=19

step 2:subtract 8 from each side

z+8-8=19-8

The scale factor is 2.5

for B = 10/4 = 2.5

for C = 15/6 = 2.5