A colony of bacteria starts with 50 organisms and quadruples each day. Write an exponential function, P(t), that represents the population of the bacteria after t days. Then find the number of bacteria that will be in the colony after 5 days.​

Answer: 6

Step-by-step explanation:

Answer:

7200

Step-by-step explanation:

I'm not going to explain but i will say that you should multiply 300x 24 to get you answer  

Answer:

\(y= 100x +300\)

\(x=\) How many months

Step-by-step explanation:

In this equation a

We are solving to find after 24 months you want to plug 24 in to where X is and solve the eqaation from there.

Hope this helps!!

The probability of an outcome less than 5 in a discrete uniform distribution ranging from 2 to 9 inclusive is 37.5%.

In a discrete uniform distribution, each outcome has an equal probability of occurring. In this case, the range of possible outcomes is from 2 to 9 inclusive, which means there are a total of 8 possible outcomes (2, 3, 4, 5, 6, 7, 8, 9).

To calculate the probability of an outcome less than 5, we need to determine the number of outcomes that satisfy this condition. In this case, there are 4 outcomes (2, 3, 4) that are less than 5.

The probability is calculated by dividing the number of favorable outcomes (outcomes less than 5) by the total number of possible outcomes. So, the probability is 4/8, which simplifies to 1/2 or 0.5.

Therefore, the correct answer is B. 50.0%. The probability of an outcome less than 5 in this discrete uniform distribution is 50%, or equivalently, 0.5.

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The total number of students does the teacher has is 23.

Given that,

The teacher divided the class into three groups of three, each with two girls and one boy, for a group assignment. Each girl was a part of a group, but there was no group for the 14 boys. Observing this, the teacher decided to divide the class into groups of two boys and one girl. This time, only 1 girl and 1 boy had a group.

We have to find what number of pupils does this teacher have.

We know that,

3(2+1)+14=23

7(2+1)+1+1=23

Therefore, The total number of students does the teacher has is 23.

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Answer:3 hours and 53 minutes

Step-by-step explanation:

11 - 8 is 3.

55- 2 is 53.

The time is 3 hours and 53 minutes

Answer:

n = - 1 , n = 3

Step-by-step explanation:

n² - 2n - 3 = 0 ( add 3 to both sides )

n² - 2n = 3

to complete the square

add ( half the coefficient of the x- term)² to bpth sides

n² + 2(- 1)n + 1 = 3 + 1

(n - 1)² = 4 ( take square root of both sides )

n - 1 = ± \(\sqrt{4}\) = ± 2 ( add 1 to both sides )

n = 1 ± 2

Then

n = 1 - 2 = - 1

n = 1 + 2 = 3

The woman has €123,750 left after paying taxes.

To calculate how much the woman has left after paying taxes, we need to determine her taxable income and then subtract the tax amount.

The woman earns €150,000 per annum and is allowed a tax-free pay of €45,000. This means that her taxable income is the difference between her total income and the tax-free allowance:

Taxable Income = Total Income - Tax-Free Pay

= €150,000 - €45,000

= €105,000

Next, we need to calculate the tax amount based on the taxable income. The woman pays 25 cents per euro as tax on her taxable income, which can be expressed as a tax rate of 25%.

Tax Amount = Tax Rate * Taxable Income

= 0.25 * €105,000

= €26,250

Finally, we can determine the amount the woman has left after paying taxes by subtracting the tax amount from her total income:

Amount Left = Total Income - Tax Amount

= €150,000 - €26,250

= €123,750

Therefore, the woman has €123,750 left after paying taxes.

It is important to note that tax calculations can vary depending on the specific tax laws and regulations in a particular jurisdiction. The above calculation assumes a tax rate of 25% and does not take into account any additional deductions or credits that may apply.

It is always advisable to consult with a tax professional or refer to the tax laws in the relevant jurisdiction for accurate and up-to-date information regarding tax calculations.

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Answer:

8

Step-by-step explanation:

If the only zero for this function is at x = - 4 it looks like this:

f(x)  = (x+4)(x+4)        =    x^2 +8x + 16         so j = 8

Answer:

Step-by-step explanation:

x² +jx +k = 0

If there is only one root ( - 4 ), then (x + 4)² = 0

or

x² + 8x + 16 = 0

j = 8 and k = 16

I'll do parts (a) through (c) to get you started

(a) False. The explanatory variable is always along the x axis, and the response variable is along the y axis. The response variable reacts to whatever the input explanatory variable is, hence the name "response".

---------

(b) True. If all data lie along a single straight line with nonzero slope, then either r = -1 or r = 1. If we have all data points on a line with some negative slope, then r = -1. If the regression slope is positive, then r = 1. Either way, it will lead to r^2 = 1 because (1)^2 = 1 and (-1)^2 = 1. In other words, there are two solutions to r^2 = 1 and they are r = -1 or r = 1. In the case of r = -1, we say the data has perfect negative linear correlation. With r = 1, the data has perfect positive linear correlation.

---------

(c) True. If r > 0, then we have some level of positive correlation which means the regression slope is positive in some way. If r < 0, then the regression slope is negative in some way. That must mean r = 0 leads to the regression slope having a flat horizontal line. This could mean one of two things: i) The points are all on or near the same curve such as a parabola, ii) The points are completely randomly scattered about. If case (i) happens, then it's better to use nonlinear regression instead of linear regression.

Answer:

A sector of a circle is simply a part of a circle that is enclosed by two radii and a part of the circle's circumference (arc). If the arc makes an angle θ at the center of the circle, then the area of the sector is equal to A=θ360πr2 A = θ 360 π r 2 .

Step-by-step explanation:

Answer: x = 1.186

Step-by-step explanation:

To solve, we need to isolate the x variable.

  Given:

\(5^{2x-1}=2^{x+2}\)

   Log both sides of the equation:

\(Log(5^{2x-1})=Log(2^{x+2})\)

   Log power property:

\((2x-1)Log(5)=(x+2)Log(2)\)

   Distribute:

* Think of the Log(5) and Log(2) as a "regular number" that you can divide with, distribute with, etc

\(2xLog(5)-Log(5)=xLog(2)+2Log(2)\)

   Add Log(5) to both sides of the equation and subtract xLog(2) from both sides of the equation:

\(2xLog(5)-xLog(2)=2Log(2)+Log(5)\)

   Factor x from the terms on the left side of the equation:

\(x(2Log(5)-Log(2))=2Log(2)+Log(5)\)

   Divide both sides of the equation by (2Log(5)-Log(2)):

\(x= \frac{2Log(2)+Log(5) }{2Log(5)-Log(2)}\)

   Compute:

x = 1.186

Answer: $88.90

Step-by-step explanation:

Let her initial deposit be represented by x.

Based on the information given, in the question, an equation can be formed as:

x + $25.50 + $45.25 - $15.15 - $28.65 = $115.85

x + $70.75 - $43.80 = $115.85

x = $115.85 + $43.80 - $70.75

x = $88.90

The initial deposit is $88.90

Answer:

12

Step-by-step explanation:

Answer:

1) 12 boxes

2) 3, 6, 12

3) 12

4) 110 degrees

Step-by-step explanation:

1) Count the rectangles. Multiply the length of the rectangle in boxes to the width of rectangle in boxes.

Length: 4 boxes

Width: 3 boxes

4 x 3 = 12

12 boxes

2)

10% of 30 is 0.1 times 30.

0.1 x 30 = 30/10 = 3

20% of 30 is 0.2 times 20.

0.2 x 30 = 30/5 = 6

40% of 30 is 0.4 times 20.

0.4 x 30 = 30/2.5 = 12

3) Count the cubes. Reminder there are 2 boxes you cannot see.

Top Layer: 2

Middle Layer: 4

Back Bottom Layer: 4

Front Bottom Layer: 2

2 + 4 + 4 + 2 = 12

4) I cannot see the semicircle clearly, but I do know that a circle is 360 degrees. A semicircle, half of a circle, is 180 degrees.

180/18 (The angle of each section)

10

11 Sections

10 x 11 = 110

Answer: h=11.9

Step-by-step explanation:

We know that the hypotenuse is 13 and we have the adjacent side of the angle 24. This means we can use cosine to solve.

\(cos(x)=\frac{adjacent}{hypotenuse} \\cos(24)=\frac{h}{13}\)

Multiply both sides by 13 to isolate h

\(cos(24)=\frac{h}{13} \\(13)cos(24)=\frac{h}{13}(13)\\13cos(24)=h\)

h=11.9

Step-by-step explanation:

Open the brackets

px - pq = x

Add pq to both sides.

px = x + pq

Subtract x from both sides.

px - x = pq

x (p - 1) = pq

Divide both sides by (p - 1)

x = pq/(p-1)

Please gimme brainliest.

Answer:

.18

Step-by-step explanation:

What is a 18 percent tip by bill amount?

...

What's a 18% Tip on a $75 Bill?

Bill: $75.00

Tip: $13.50

Total: $88.50

sooooo 13.50 divided by 75.00 = .18

byeeeee :)

Answer: Graph D

Step-by-step explanation:

The slope is 2

x goes after the slope in graph functions

The line goes through 3 on the y-axis so that’s where + 3 comes in.

2x + 3

Answer:

the answer to the inequality is C. g<1

We can express √832 as 4(2√13).

A definite integral of a function can be represented as the signed area of the region bounded by its graph.

Given is the root of 832 or √832.

Assume that {4n} is equal to {y}. So, we can write -

y = 4n

Squaring both sides, we get -

y² = (4n)² = (√832)²

y² = 16n² = 832

16n² = 832

n² = (832/16)

n² = 52

n = √52

n = 2√13

So, we can write (√832) as 4(2√13).

Therefore, we can express √832 as 4(2√13).

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The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.

A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:

United States Budget:

Korean Budget:

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Answer:

-9x(-8)

9x8

=72

Step-by-step explanation:

Answer:

There is more than one but here are the options. 53, 59, 61, and 67

A parallelogram possesses rotational symmetry of order 2, but no line symmetry.

The rotational symmetry of a parallelogram:

Therefore, a parallelogram possesses rotational symmetry of order 2, but no line symmetry.

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Answer:

in picture ....

Step-by-step explanation:

Answer: as per question statement

we need to set up an equation first

p(t)=1200e(0.052*t)

they have given that it is relative to 1200 that means it starts to increase from 1200 at t=0 initially 1200 bacteria were present

we need to find population at t=6

we need to plug t=6 in p(t).

P(6)=1200e(0.052*6)=1639.38

1638.38 bacteria were present at that time t=6

Step-by-step explanation: I hope this helps.

A value which 25% of the data lie below include the following: (A) the lower quartile (Q1) and it is 75.

Based on the information provided about the box-and-whisker plot of this data set, we would determine the five-number summary for the given data set as follows:

Generally speaking, the Lower or first quartile (Q₁) represents the 25% of the data in a box-and-whisker plot and it is equal to 75.

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The equation of the tangent to the curve at the point corresponding to t=-1 is y = -9x - 10.

To find the equation of the tangent at a point, we need to find the derivative of the curve and substitute the given value of the parameter into it to find the slope of the tangent at that point. Then, we use the point-slope form of the equation of a line to find the equation of the tangent.

The derivative of x = t^3 + 1 is dx/dt = 3t^2, and the derivative of y = t^10 + t is dy/dt = 10t^9 + 1.

Substituting t=-1 into the derivatives gives dx/dt = 3 and dy/dt = -9.

Therefore, the slope of the tangent at t=-1 is -9/3 = -3.

Using the point-slope form with the point (0,0) and slope -3, we get y = -3x + 0 = -3x.

To find the equation of the tangent at the point corresponding to t=-1, we substitute x = (-1)^3 + 1 = 2 and y = (-1)^10 + (-1) = 0 into the equation y = -3x, giving us y = -6.

Therefore, the equation of the tangent at the point corresponding to t=-1 is y = -3x - 6.

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True. The correlation coefficient (r) must also be positive, indicating a strong positive linear relationship between the two variables.

The correlation coefficient (r) measures the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where a value of -1 indicates a perfectly negative linear relationship, a value of 1 indicates a perfectly positive linear relationship, and a value of 0 indicates no linear relationship.  If the slope (b) of ŷ is positive, it means that as the independent variable increases, the dependent variable also increases.

In addition to the above explanation, it is important to note that while a positive slope (b) of ŷ indicates a positive linear relationship between two variables, it does not necessarily mean that the correlation coefficient (r) will always be positive. For example, if there is a weak positive linear relationship between two variables, the correlation coefficient (r) may still be positive but not as strong as if there was a strong positive linear relationship. Similarly, there may be situations where the correlation coefficient (r) is positive but the slope (b) of ŷ is not positive, such as in a curvilinear relationship where the relationship between the two variables is not linear.

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