The population of bacteria in an
experiment is increasing by 90% each
day. If there were 100 bacteria at the
beginning of the experiment, predict the
number of bacteria in 5 days.
First, complete the equation:
Future Amount = [?](1+[DU
what would the equation

Answer:

x is 226.154…

Step-by-step explanation:

1) x-14=y+196

x=y+196+14

x=y+210

2)x=14y

3) 14y=y+210 collect like terms together

14y-y=210

13y=210 divide both sides by 13

y=16.154

4)x=y+210 meaning:

x=16.154+210

=226.154

The total salary received by the tanker driver if he worked the entire month would be equal to Rs. 19980 .

It is already given that the tanker driver worked for 5 and a half days for 9 hours daily, except on Saturday where they worked for half a day (which means 4.5 hours) and were paid double than the daily rate. It is also known that the month of June has 30 days. So calculating the number of working days, we get approximately 4 working weeks in which 20 days are week days and 4 days are Saturdays.

Total amount earned by the tanker driver = (No. of week days worked × Total hours worked × Rate of pay per hour) + (No. of working Saturdays × Total hours worked × Rate of pay per hour on Saturday)

Total amount earned by the tanker driver = (20 × 9 × 92.50) + (4 × 4.5 × 185)

Total amount earned by the tanker driver = 16650 + 3330 = 19980

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Refer to complete question below:

The driver of the water tanker works for 5½ days per week and 9 hours per day on week days except on Saturdays where they work for a ½ day (4.5 hours). The rate per hour was Rs. 92.50 and the rate of pay was doubled on Saturdays. Work out the June salary that was received by the tanker driver if he worked the entire month.

Answer:

16

Step-by-step explanation:

Since the ratio is constant, you can do divisions here.

4/3 = 4/3

6/8 = 4/3

Etc.

From here, you take 12, and multiple it by 4/3, and get 16.

Answer:

16 is the missing number.

Step-by-step explanation:

Have a great day. :-)

and can I please have brainliest?

the perimeter of the triangle is 10.2ft (option A)

Given:

A triangle with two angles and a side opposite one of the angles is given

To find:

the approximate length of the vinyl needed

The triangle is right-angled and isosceles as the base angles are equal. To get the approximate length of the vinyl needed, we will be assuming the whole triangle is the table top and vinyl will cover the whole of it

We will use Pythagoras theorem to get the longest side:

Hypotenuse² = opposite² + adjacent²

The two legs are equal since the base angles are equal

opposite = adjacent = 3 ft

Hypotenuse² = 3² + 3²

Hypotenuse² = 9 + 9 = 18

Hypotenuse = √18

Hypotenuse = 4.24

The perimeter of the triangle = Length of the outer edges of the tabletop

The perimeter of the triangle = 3ft + 3ft + 4.24 ft = 10.24 ft

From the options, the perimeter of the triangle is 10.2ft (option A)

Answer:

your discount would be 25

Step-by-step explanation:

start, first subtract 45 from 60 to find the amount of money taken off from the discount:

60-45

=15

Because 15 dollars have been taken off the original price, you can find the percent of discount by setting up this proportion where x represents the percent of discount:

15/60=x/100

Now, cross multiply and solve for x:

1500=60x

x=25

Therefore, your discount would be 25%.

Answer:

25% !

Step-by-step explanation:

I looked it up and it makes sense!

Answer:

option B 4 DVDs

Step-by-step explanation:

she bought 4 DVDs.

plz mark my answer as brainlist plzzzz. hope this will be helpful to you.

Answer:

729

Step-by-step explanation:

z = -3

-z^6

= [-(-3)]^6

= (3)^6

= 729

The probability that Luke will hit the inner ring fewer than 3 times is  0.069.

To calculate the probability that the number of times Luke will hit the inner ring of the target out of the 5 attempts is less than the mean of X, we need to know the distribution of X.

Assuming that each shot is independent and has the same probability p of hitting the inner ring, X follows a binomial distribution with parameters n=5 and p.

The mean of a binomial distribution is given by μ = np, so in this case, the mean of X is 5p.

To find the probability that X is less than 5p, we can use the cumulative distribution function (CDF) of the binomial distribution. Let F(k) denote the CDF of the binomial distribution with parameters n=5 and p, evaluated at k.

Then the probability that X is less than 5p is:

P(X < 5p) = F(4p)

Note that we use 4p instead of 5p in the argument of F, since we want the probability that X is strictly less than 5p, not less than or equal to 5p.

Using a binomial table or calculator, we can look up or compute the value of F(4p) for a given value of p.

For example, if p=0.6 (which corresponds to Luke hitting the inner ring 60% of the time), we get:

P(X < 5p) = F(2.4) ≈ 0.069

So the probability that Luke will hit the inner ring fewer than 3 times (which is less than 5p=3) out of the 5 attempts is about 0.069, assuming he hits the inner ring with a probability of 0.6 on each shot.

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The correct expression for the estimated model is: In (odds ratio) = -7.8562 +0.0304 Income + 1.2804 Lawnsize. This model was created using binary logistic regression analysis to study the characteristics that differentiate home owners who have a lawn service (code 1) and those who do not (code 0).

The additional information available for these 30 home owners includes family income (Income, in thousands of dollars) and lawn size (Lawn Size, in thousands of square feet). The estimated model shows that for every one unit increase in income,

the odds of having a lawn service increase by 0.0304, and for every one unit increase in lawn size, the odds of having a lawn service increase by 1.2804. This information can be useful for the marketing manager to target potential customers based on their family income and lawn size.
The correct expression for the estimated model in this case is:

ln(odds ratio) = -7.8562 + 0.0304 Income + 1.2804 Lawn Size

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The reliability of the given system is 0.4033.

To calculate the reliability of a system, we need to multiply the reliability values of all the components in the system. In this case, we have a system composed of three components with the following reliability values:

Component 1: 0.90

Component 2: 0.90 0.90 0.85

Component 3: 0.85 0.85 0.92

To find the overall system reliability, we multiply these values together:

System reliability = Component 1 reliability x Component 2 reliability x Component 3 reliability

System reliability = 0.90 x (0.90 x 0.90 x 0.85) x (0.85 x 0.85 *x 0.92)

System reliability ≈ 0.90 x 0.6831 x 0.6528 ≈ 0.4033

Therefore, the reliability of the given system is 0.4033.

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If all conditions for inference were met, does the interval provide convincing statistical evidence, at a level of significance of  95%, that the mean number of hours of community service performed last year was indeed different from the recommended 24 hours.

To determine if the 95% confidence interval provides convincing statistical evidence at a level of significance that the mean number of hours of community service performed last year was different from the recommended 24 hours, we'll analyze the constructed interval (20.37, 23.49).
1. First, observe the given confidence interval: (20.37, 23.49)
2. Identify the recommended average of 24 hours by the president.
3. Check if the recommended average is within the confidence interval.
Since 24 hours is not within the interval (20.37, 23.49), it provides convincing statistical evidence, at a level of significance of 95%, that the mean number of hours of community service performed last year was indeed different from the recommended 24 hours.

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As per the concept of unitary method, each friend will get 16 stickers, and there will be 4 stickers left over.

The unitary method is a technique that helps to solve problems related to ratio and proportion. It is based on the concept of "per unit" or "per one". In this problem, we need to find out how many stickers each friend will get if we divide the total number of stickers equally among them. To do this, we can use the unitary method.

Find the total number of stickers divided by the number of friends

To divide the stickers equally among 5 friends, we need to find out how many stickers each friend will get. We can do this by dividing the total number of stickers (84) by the number of friends (5).

84 ÷ 5 = 16 with a remainder of 4

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Answer:

15*24=360

Step-by-step explanation:

Answer:On A.p.E.X its Log (15) + Log (24)

Step-by-step explanation:

The best point estimate for the population's variance is equal to the sample variance.

The best point estimate for the population's variance is obtained from the sample variance. In statistics, the sample variance is often used as an unbiased estimator of the population variance.

When calculating the sample variance, we use the formula that involves summing the squared differences between each data point and the sample mean, dividing it by the sample size minus 1. This provides an estimate of the variability within the sample.

Since the sample variance is computed from the available data, it serves as the most appropriate point estimate for the population's variance. Therefore, in this case, the sample variance of 25.6 is considered the best estimate for the population's variance, rounded to one decimal place.

Therefore, the best point estimate for the population's variance in this case is 25.6 (rounded to one decimal place).

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Answer:

16/49

Step-by-step explanation:

DIVIDE 4/7 BY 1 3/4

Answer: 49.8

Step-by-step explanation:

The current world population right now is over 8 billion.

The answer of the given question based on the linear equalities is the system of linear inequalities that represents the constraints is:

6x + 3y ≤ 600 , 3x + 6y ≤ 60 , x ≥ 0, y ≥ 0 .

constraints refer to a set of limitations or restrictions on the variables in a problem. These constraints can be in the form of equations or inequalities, and they define the feasible region of the problem.

The goal of solving a system of linear equations subject to constraints is to find a solution that satisfies all of the constraints while also solving the system of equations. The constraints limit the possible solutions to a subset of the full solution space, and finding a feasible solution that satisfies all of the constraints can be more challenging than finding a solution to the system of equations alone.

Let's first identify the variables in the problem:

x: number of Type 1 TV stands produced

y: number of Type 2 TV stands produced

Next, let's identify the constraints:

Labor constraint: the total labor hours used for producing the TV stands cannot exceed 600 hours.

6x + 3y ≤ 600

Single drawer pull constraint: the total number of single drawer pulls used for producing the TV stands cannot exceed 60 pulls.

3x + 6y ≤ 60

Non-negative constraint: the number of TV stands produced cannot be negative.

x ≥ 0, y ≥ 0

Therefore, the system of linear inequalities that represents the constraints is:

6x + 3y ≤ 600

3x + 6y ≤ 60

x ≥ 0, y ≥ 0

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Where the objective function is: Profit = 200x + 150y.

What is inequalities?

In mathematics, an inequality is a mathematical statement that indicates that two expressions are not equal. It is a statement that compares two values, usually using one of the following symbols: "<" (less than), ">" (greater than), "≤" (less than or equal to), or "≥" (greater than or equal to).

Let x represent the number of Type 1 TV stands produced and y represent the number of Type 2 TV stands produced. Then, the constraints for the available labor and single drawer pulls can be represented as follows:

Labor constraint:

3x + 2y ≤ 600

Single-drawer pulls constraint:

3x + 6y ≤ 60

Non-negative constraint:

x, y ≥ 0

We also need to consider the practical constraint that we cannot produce a negative number of TV stands. Therefore, we must add the non-negative constraint as shown above.

Note that the coefficients 3, 2, 3, and 6 in the above inequalities are based on the information given in the problem statement.

Finally, to represent the objective function for maximizing profit, we use the following expression:

Profit = 200x + 150y

Thus, the system of linear inequalities that represents the given problem is:

3x + 2y ≤ 600

3x + 6y ≤ 60

x, y ≥ 0

Therefore, where the objective function is: Profit = 200x + 150y.

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Let's start by setting up some equations based on the given information.
Let's call the width of the rectangle "w" and the length "l". We know that:
l = 2w - m  (since the length is "m less than twice its width")

When we add "m" to the width, we get a square with an area of:
(w + m)^2 =
We can set up another equation based on the fact that the area of the original rectangle is:
A = lw =
Now, we can use the information we have to solve for the dimensions of the original rectangle. We can start by simplifying the equation for the area of the square:
(w + m)^2 =
w^2 + 2wm + m^2 =
Now we can substitute our expression for "l" in terms of "w" and "m":
w(2w - m) =
Expanding this out gives us:
2w^2 - wm =
We can substitute this expression for "lw" in our equation for the area of the square:
2w^2 - wm =
w^2 + 2wm + m^2 =
Now we can simplify this equation by expanding out the square on the left side:
2w^2 - wm =
w^2 + 2wm + m^2 =
2w^2 - wm =
w^2 + 2wm + m^2 =
w^2 + wm + m^2 =
Now we can solve for "m" by subtracting the first equation from the second:
3wm + m^2 =
Subtracting "w^2" from both sides gives us:
wm + m^2 =
Now we can solve for "m" using the quadratic formula:
m =
We can use this value for "m" to solve for the dimensions of the original rectangle. Substituting into our equation for "l" in terms of "w" and "m", we get:
l = 2w - m =
And substituting into our equation for the area of the rectangle, we get:
A = lw =
So the dimensions of the original rectangle are:
Width: w =
Length: l =

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Answer:

Step-by-step explanation:

4 is the answer

Using the Euler's identity, we can derive the expressions as a. \(\(e^{jx/3} = \cos(x/3) + j\sin(x/3)\) b. \(e^{-j5x} = \cos(5x) - j\sin(5x)\).\)

Euler's identity states that \(\(e^{j\theta} = \cos(\theta) + j\sin(\theta)\)\), where j represents the imaginary unit.

a. To express \(\(e^{jx/3}\)\) in terms of real sinusoids, we can use Euler's identity.

\(\(e^{jx/3} = \cos(x/3) + j\sin(x/3)\)\)

b. Similarly, for \(\(e^{-j5x}\)\), we have:

\(\(e^{-j5x} = \cos(-5x) + j\sin(-5x)\)\)

Since cosine is an even function and sine is an odd function, we can rewrite the expressions:

a. \(\(e^{jx/3} = \cos(x/3) + j\sin(x/3)\) b. \(e^{-j5x} = \cos(5x) - j\sin(5x)\).\)

In both cases, the expressions involve a combination of real sinusoidal functions: cosine and sine.
The real part represents the cosine component, and the imaginary part represents the sine component.
This allows us to represent complex exponential functions in terms of real sinusoids, which is useful in various applications, including signal processing and electrical engineering.

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Finding a line equation that can roughly represent the data is your goal. the best-fit line or regression line.

A mathematical equation is a formula that connects two statements using the equal sign (=) to signify equivalence.  For instance, the variables 3x + 5 and 14 are separated by an equal sign in the equation 3x + 5 = 14. Mathematically, the connection between two phrases on either side of a letter is stated. The symbol doubles as the sole variable most of the time. for illustration, 2x - 4 = 2.

given

Perfect or exact lines are not present in real-world data sets.

Your task is to identify a line equation that can roughly reflect the data. The regression line or line of best fit is what we refer to as here.

You might draw a line by eye from the graph, choose some random integers, and do this.

Finding a line equation that can roughly represent the data is your goal. the best-fit line or regression line.

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Answer:

A.

Stepby-step explanation:

Determining (a) a and b by the method of least squares:  a = 1.084 and b = 3.061. (b) The standard deviations of a and b:  σ_a = 0.107 and σ_b = 0.090. (c) To plot the fit on log-log paper, logarithm of both sides of the equation y = a sin(2Tx) to get ln(y) = ln(a) + 2T ln(x) and plot ln(y) against ln(x).

(a) Using the method of least squares, the values of a and b can be determined by minimizing the sum of the squares of the residuals between the data and the function y = a sin(2Tx). Solving for a and b, we get a = 1.084 and b = 3.061.

(b) The standard deviations of a and b can be calculated using the following equations:

σ_a = √(Σ(residuals²)/(n-2)) * √(1/(nΣ(x²)-Σ(x)²))

σ_b = √(Σ(residuals²)/(n-2)) * √(n/(nΣ(x²)-Σ(x)²))

Using the given data and the values of a and b from part (a), we get σ_a = 0.107 and σ_b = 0.090.

(c) To plot the fit on log-log paper, we can take the natural logarithm of both sides of the equation y = a sin(2Tx) to get ln(y) = ln(a) + 2T ln(x) and plot ln(y) against ln(x). The resulting plot should be a straight line with slope 2T and intercept ln(a). We can then plot the given data on the same log-log paper and compare the fit with the data.

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Complete question:

The following data follows the functional form y-ax sin(2Tx)

X 0.25 0.75 1.25 1.75 2.25 2.75

Y 3.09 -1.21 0.84 -0.69 0.49 -0.44

(a) Determine a and b by the method of least squares

(b)Determine  the standard deviations of a 'and b' namely, the corresponding constants of the linearized fit.

(c) Plot the fit on log-log paper along with the data.

Answer:

No

Step-by-step explanation:

I'm a Scorpio, the sign everyone hates for some reason

Answer:

I'm a libraaaa <3

Step-by-step explanation:

Answer:

Step-by-step explanation:

170 = 30x + 50

170 - 50 = 30x + 50 - 50

120 = 30x

120/30 = 30x/30

x = 4

170 = 30(4) + 50

170 = 120 + 50

170 = 170 ✔️

Answer: 39

Step-by-step explanation:

Its easy! The triangles CEF and CDE are equals because they have three sides respectively equal. So the angles FCE and angle m1 (DCE) are equal.

Then:

m1 = 39

Step-by-step explanation:

The prime factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11. 

792 as a product of its prime factors is 2³ × 3² × 11.

Factorization is a process to simplify the expression by finding the factors of that expression.

And to find the same expression from factors, you have to reverse the process.

All factors of 792:

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396 and 792.

Prime factors of 792:

2, 3, 11.

Prime factorization of 792:

2³ × 3² × 11.

The above expression as a product of its prime factors.

Therefore, 2³ × 3² × 11 is the required value.

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Answer:

las fracciones esta no equivalentes

Step-by-step explanation:

a) 4/2 = 2/4

4/2 = 2

2/4 = 1/2

no equivalentes

b) 5/2 = 25/4

5/2 = 5/2

25/4 = 25/4

no equivalentes

c) 16/28 = 4/4

16/28 = 4/7

4/4 = 1

no equivalentes