A population of bacteria is growing according to the function below, where t is in hours. How many hours will it take for the population to grow to 1,000 bacteria? Round your answer to the nearest integer. Do not include units in your answer.

B(t) = 50 e2.5t ...?

The total number of eggs in the carton is 12, as there are 2 rows with 6 eggs each, and you calculate the total by multiplying these two numbers.

Paco buys a carton with 2 rows of eggs and there are 6 eggs in each row.

To find the total number of eggs in the carton, you multiply the number of rows by the number of eggs in each row: 2 rows× 6 eggs per row equals a total of 12 eggs in the carton.

So, in this case, the number is 12, and the unit is eggs.

To find dy/dx of the equation 4x^3 - 3xy^2 + y^3 = 28 at the point (3,4), you can use implicit differentiation and solve for dy/dx.

To find dy/dx of the equation 4x^3 - 3xy^2 + y^3 = 28 at the point (3,4), we need to use implicit differentiation. We differentiate both sides of the equation with respect to x, treating y as a function of x. Thus, we get:

12x^2 - 3y^2 - 3x(2y(dy/dx)) + 3y^2(dy/dx) = 0

Now we substitute x = 3 and y = 4 into the equation and solve for dy/dx:

12(3)^2 - 3(4)^2 - 3(3)(2(4)(dy/dx)) + 3(4)^2(dy/dx) = 0

Answer:

The answer is C, 0.5(90 - x) -18

Step-by-step explanation:

Answer:

The slope represents the cost for each hour it takes to repair the machine.

Step-by-step explanation:

We are given that  the cost of a service call to fix  a washing machine can be expressed by the linear function

[tex]y=45x+35[/tex]

Where

y=Total cost of  a service to fix  the machine.

x=Number of hours takes to fix the machine

We have to find that slope in this function what represents.

General equation of line is given by

[tex]y=mx+c[/tex]

Where m=Slope of line

c=y- intercept

Comparing the general equation with the given function

We get m=45,c=35

m=45 represents the cost for each hour it takes to repair the machine because when number of hours multiplied by 45 then we get total cost of x hours.

Hence, the slope represents the cost for each hour it takes to repair the machine.

Answer:

[tex]\displaystyle 20 \div (1 + 4)[/tex]

Explanation:

It is EXACTLY how it sounds, and of course, you must include grouping symbols to separate both parts of the expression.

I am joyous to assist you anytime.

The representation of the given number will be given below such that it sum should be 343.

A summation, also abbreviated as a sum, is the outcome of adding two or more numbers or quantities. Here are always an integer number of terms in a summation.

There might simply be two terms, but there might also be 100,000 or a million. Summations exist with an infinite number of parameters.

The summation is to add or subtract any two or more terms by doing the operation.

The representation of 200, 14, and 3 will be

200 hundred            

14   tens                            

+   3 ones

--------------------

343

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A line is said to be perpendicular to another line if the two lines intersect at a right angle. An angle is said to be a right angle if its measure is 90 degrees.

The question is asking us to select the option which best describes a perpendicular lines.Among all the options given option B states :Lines that meet at a 90* angle.

Option B is the right answer.

The perpendicular lines are those lines that meet at a 90* angle. That is option B.

Perpendicular lines are those lines that meet at an angle of 90°. To further explain the perpendicular lines, a diagram above is used.

Line AB is perpendicular to XY because AB and XY intersect each other at 90°.

Some of the characteristics of perpendicular lines include:

Therefore, perpendicular lines are those lines that meet at a 90* angle.

Learn more about perpendicular lines here:

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Answer:

yeet

Step-by-step explanation:

Answer:

[tex]tan^-1( v)  - \frac{1}{2} ln(1+{v}^2) +c[/tex] is the answer.

Step-by-step explanation:

∫[tex]\frac{1-v}{1+{v}^2} \\\frac{1}{1+{v}^2}- \frac{v}{1+{v}^2}}[/tex]

∫[tex]\frac{dv}{1+{v}^2}[/tex]-∫[tex]\frac{2v}{1+{v}^2}[/tex]dv

[tex]{tan}^{-1} (v)-\frac{1}{2} ln(1+{v}^2) +c[/tex]

The point marked A is the point where the birth rate is higher than the death rate.

The term birth rate refers to the rate at which new organims are introduced into the population and the death rate refers to the rate at which individuals exit in the population.

In this case, when we observe the graph, we can see that the point marked A is the point where the birth rate is higher than the death rate.

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Answer:

Hence, the correlation coefficient is:

               r=1.0

Step-by-step explanation:

We know that the correlation coefficient ''r'' is calculated by the formula:

[tex]r=\dfrac{\sum{XY}}{\sqrt{\sum{X^2}\sum{Y^2}}}--------------(1)[/tex]

Let x denote the data point (Number of days since purchase)

Let y denote the data point (Mileage Displayed on odometer)

x         y        X=x-x'       Y=y-y'        XY         X²          Y²

15      67       -20            -95           1900     400      9025

25     122      -10            -40            400       100       1600

35     164        0               2               0           0            4

45     210       10             48             480       100       2304

55     247      20             85           1700       400      7225

x' be the mean of the data of the x-values.

[tex]x'=\dfrac{15+25+35+45+55}{5}\\\\\\x'=\dfrac{175}{5}\\\\\\x'=35[/tex]

Also let y' denote the mean of the y-values.

[tex]y'=\dfrac{67+122+164+210+247}{5}\\\\\\y'=\dfrac{810}{5}\\\\\\y'=162[/tex]

Now we have:

∑ XY=4480

∑ X²=1000

∑ Y²=20158

Hence, we put all the  values in the formula (1) to obtain:

r=0.997 which is close to 1.0

Also from the scatter plot we could observe that the relationship is linear and also strong positive relationship.

Hence, the correlation coefficient is 1.0