Please help I’ll upvote your work, give you 5 stars and brainliest.

Answer:

i put it below

Step-by-step explanation:

but if you want to do it without a graphing calculator all you have to do is substitute random points then draw them on a graph

Answer:

Step-by-step explanation:

The population will reach 12000 bacteria after 56.4 minutes and other solutions are listed below

We can use the formula for exponential growth, which is given by:

N = N0 * e^(kt)

where N is the final population, N0 is the initial population, k is the growth rate constant, and t is time.

To find the initial size of the culture, we can use the values given at 15 minutes and 40 minutes:

100 = N0 * e^(15k)

1800 = N0 * e^(40k)

Dividing the second equation by the first, we get:

18 = e^(25k)

Taking the natural logarithm of both sides, we get:

k = ln(18)/25

Solving for k, we get:

k = 0.1156

Substituting this value of k into the first equation, we can solve for N0:

100 = N0 * e^(15 * 0.1156)

N0 = 17.65

Therefore, the initial size of the culture was 17.65 bacteria.

To find the doubling period, we use the fact that the population doubles when t increases by a certain amount, which we'll call T. That is:

N0 * e^(kT) = 2N0

Dividing by N0 and taking the natural logarithm of both sides, we get:

T = ln(2)/k

Solving for T, we get:

T = ln(2)/k ≈ 6.00 minutes

Therefore, the doubling period is approximately 6 minutes.

To find the population after 115 minutes, we can use the formula with the values of N0, k, and t:

N = N0 * e^(kt) = 17.65 * e^(0.1156 * 115) ≈ 10477448.92

Therefore, the population after 115 minutes is approximately 10477448.92 bacteria.

To find when the population reaches 12000, we set N equal to 12000 and solve for t:

12000 = 17.65 * e^(0.1156t)

Dividing by 17.65 and taking the natural logarithm of both sides, we get:

ln(12000/17.65 ) = 0.1156t

Solving for t, we get:

t ≈ 56.42 minutes

Therefore, the population will reach 12000 bacteria after approximately 56.4 minutes.

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Answer:

30

Step-by-step explanation:

12/8/20

12/8 ÷ 20

denominator of denominator goes to numerator

So,

12 × 20/8

3 × 10 = 30

-TheUnknownScientist

The median of the distances is M = 6.5 kilometers

Given data ,

To find the median of a set of numbers, we arrange the numbers in ascending order and then locate the middle value. If there is an odd number of values, the median is the middle number. If there is an even number of values, the median is the average of the two middle numbers.

Arranging the given set of numbers in ascending order: {4, 5, 8, 11}

Since the set has an even number of values, the median is the average of the two middle numbers. In this case, the two middle numbers are 5 and 8. To find the average, we add these two numbers and divide by 2:

(5 + 8) / 2 = 13 / 2 = 6.5

Hence , the median of the given set {4, 5, 8, 11} is 6.5

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Answer:

undefined

Step-by-step explanation:

because

the figure does not appear

Answer:

curved ramp

or quadrant circle map

Step-by-step explanation:

Answer:

polygon

Step-by-step explanation:

The shape has 4 sides. It could be something like a hemisphere.

1. The probability the project will be finished in 62 weeks or less is 0.6915. 2.The probability the project will be finished in longer than 65 days is 0.8944.

The standard score in statistics is the amount of standard deviations that a raw score (i.e., an observed value or data point) deviates from or exceeds the mean of the thing being observed or measured. Standard scores are positive for raw scores above the mean and negative for raw scores below the mean.

It is determined by deducting the population mean from a given raw score, then dividing the result by the population standard deviation. Standardizing or normalising is the process of transforming a raw score into a standard score.

Given that,

mean = 60 weeks

SD = 4 weeks

1. P (p ≤ 62) = P(z ≤ 62)

The z-score is given by:

z-score = x - mean / SD

Substituting the values we have:

z-score = 62 - 60/4 = 2/4 = 0.5

P(z ≤ 0.5) = 0.6915 (Using the z -table)

Hence, the probability the project will be finished in 62 weeks or less is 0.6915.

Similarly,

2. P(z > 65) = P(z > 1.25) = 0.8944

Hence, the probability the project will be finished in longer than 65 days is 0.8944.

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Convert the problem to standard form and write the initial tableau with slack variables:

Maximize

\(Z = 7*3 + 6*4 + 18*5 + 14*6 - 3*1 - 3*2 - 4*5 - 4*6\)

Subject to:

\(x1 + x2 + s1 = 4000\\x3 - (1/3)*1 + (1/3)*5 = 0\\x4 - (1/3)*2 + (1/2)*6 = 0\\x3*1 + 3*2 + 3*3 + 3*4 + 3*5 + 2*6 + s2 = 6000\)

All variables are non-negative.

Tableau

 x1  x2  x3  x4  x5  x6  s1  s2   b

Z -3 -3 7 6 18 14 0 0 0

s1 1 1 0 0 0 0 1 0 4000

s2 3 3 3 3 3 2 0 1 6000

x5 0 0 1 0 1/3 0 0 0 0

x6 0 0 0 1 0 1/2 0 0 0

The basic variables are s1, s2, x5, and x6.

Step 1: Choose  entering variable. The most positive coefficient in objective row is 18, corresponding to x5. x5 enters the basis.

Step 2: Choose the leaving variable. The minimum ratio of right-hand side to coefficient of x5 is 12000/(1/3) = 36000,

corresponding to s1. s1 leaves the basis.

Step 3: Perform, pivot operation to make x5 the basic variable for s1. Divide, pivot row by 1/3 and subtract appropriate multiples of the pivot row from other rows to make other entries in column 5 zero.

 x1    x2    x3    x4     x5     x6   s1    s2       b

Z -3 -3 7 6 18 14 0 0 0

x5 0 0 1 0 1/3 0 0 0 0

s2 3 3 3 3 2 2/3 2/3 0 1/3 24000

x3 1 0 1/3 0 1/3 0 -1/3 0 0

x4 0 1 0 1/3 0 1/2 -1/6 0 0

The basic variables are x5, x3, x4, and s2.

Step 4: Choose the entering variable. The most positive coefficient in the objective row is 7, corresponding to x3. x3 enters the basis.

Step 5: Determine the leaving variable. The right-hand side's minimum ratio to the coefficient of x3 is 0, indicating that x3 can be increased without bound. This implies that the optimal solution is unbounded and that there is no finite optimal value for the problem.

As a result, the simplex algorithm demonstrates that the given linear programming problem lacks a feasible solution. This means that it is not possible to meet all of the constraints at the same time.

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The length of the zip wire, with a 10-degree angle to the horizontal and a distance of 25 meters between the posts, is approximately 25.35 meters.

To calculate the length of the zip wire, we can use trigonometry. Let's consider the triangle formed by the zip wire, where the horizontal distance between the two posts is 25 meters and the angle between the zip wire and the horizontal is 10 degrees.

Using trigonometric functions, we can determine the length of the zip wire. In this case, we'll use the sine function because we have the opposite side (the vertical distance) and we want to find the hypotenuse (the length of the zip wire).

The formula for sine is:

sin(angle) = opposite / hypotenuse

Rearranging the formula, we have:

hypotenuse = opposite / sin(angle)

In this case, the opposite side is the vertical distance, which is h.

So, the formula becomes:

hypotenuse = h / sin(angle)

To find h, we can use the formula for the length of the zip wire:

h = 25 * tan(angle)

Substituting this into the previous formula, we get:

hypotenuse = (25 * tan(angle)) / sin(angle)

Calculating the value, we have:

hypotenuse = (25 * tan(10°)) / sin(10°)

Using a calculator, we find:

tan(10°) ≈ 0.1763

sin(10°) ≈ 0.1736

Substituting these values, we can calculate the length of the zip wire:

hypotenuse ≈ (25 * 0.1763) / 0.1736 ≈ 25.35 meters

Therefore, the length of the zip wire is approximately 25.35 meters.

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Answer:

3( x + y ) + 3( 2z - 5w ) = 9

Step-by-step explanation:

the equation is then solved

Answer:

9x + 63

Step-by-step explanation:

9 x X = 9x

9 x 7 = 63

9x + 63

Answer:

18 Bowls of Candy

Step-by-step explanation:

Camila has 6 bags of candy, and she can pour 1/3 of a bag into a bowl. To determine how many bowls of candy she can make in total, we need to divide the total amount of candy by the amount of candy per bowl.

Since Camila can pour 1/3 of a bag into a bowl, it means she can make 3 bowls of candy with a full bag.

Now, we can calculate the total number of bowls of candy:

Total bowls of candy = (Number of bags) x (Bowls per bag)

Total bowls of candy = 6 bags x 3 bowls per bag

Total bowls of candy = 18 bowls

Therefore, Camila can make a total of 18 bowls of candy with her 6 bags of candy.

We had written an algorithm, using pseudo code.

//Define the required variables.

total_number_of_steps = 0

number_of_steps = 0

//robot stands up to walk.

stand

//the robot moves forward till the wall is not reached.

while (wall is not reached)

//the robot senses the wall with the help of arms.

raise arms

sense_the_wall

if (wall is not there)

//if the wall is not found, the robot lowers the arms

lower arms

//if wall is not detected, the robot moves forward.

step_forward

//increment the number of steps forward.

number_of_steps=number_of_steps+1

//increment the total number of steps.

total_number_of_steps=total_number_of_steps+1

else

exit

end if

end while

//else if the wall is found, lower the arms

lower arms

//the robot turns 90 degrees right once.

turn_right_90

//the robot turns 90 degrees right again.

turn_right_90

//till the number of steps does not reach 0, move

for (number_of_steps! = 0)

step

//increment the total number of steps.

total_number_of_steps=total_number_of_steps+1

//the robot moves backwards on detecting the wall, so

//decrement the number of steps.

number_of_steps = number_of_steps-1

//end the for loop.

end for

//the robot turns 90 degrees left once.

turn

//the robot turns 90 degrees left again.

turn

//the robot sits down.

sit

//display the total number of steps taken by robot

display total_number_of_steps

The last line ends the pseudocode

Stop

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The correct answer among the following option is , the distance between point a and b of segment ab.

What are Points?

A point is denoted by a dot(.). A point represents position only. It has no size.

Points given in the question are a and b.

What is Line Segment?

A line segment is a part of line with a definite start point and a definite end point.

Their are infinite number of point between the end and start point of the segment.

For the construction,

To copy the segment ab, The distance between the two points a nd b is required.

To calculate the distance, Use the distance formula if the co-ordinates of point a and b are given.

The distance can also be measured using a measuring instrument like

a ruler, A measuring tape if the co-ordinates are not given.

As the distance between both the points a and b is known, A new segment can be drawn of the same distance as ab using two new points and can be named cd or a'b'.

To copy the segment ab, The distance between the point a and b is required.

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Answer:the distance between points a and b

Step-by-step explanation: took the test and got it right

Answer:

9

Step-by-step explanation:

Answer:

it is 9 due to 15x15=225 and 12x12=144 225-144=81 81 squared is 9

Step-by-step explanation:

it's in the attachment hope it helps you

The probability of an adult having hypertension is  0.344 and an adult having hypertension and being classified as a low level of obesity is 0.102, having hypertension given he/she is classified as a high level of obesity is 0.540. If an adult has hypertension, the probability that he/she also has a high level of obesity is  0.444.

Probability is a branch of mathematics that deals with the likelihood of an event occurring. It is the measure of the likelihood of an event occurring divided by the number of possible outcomes. Probability is used to determine the chances of a particular outcome occurring and can range from 0 to 1.

a)The probability of an adult having hypertension is (34 + 30 + 51) / (34 + 30 + 51 + 119 + 99 + 82) = 115 / 334 = 0.344.

b) The probability of an adult having hypertension and being classified as a low level of obesity is 34 / (34 + 30 + 51 + 119 + 99 + 82) = 34 / 334 = 0.102.

c) The probability of an adult having hypertension given he/she is classified as a high level of obesity is 51 / (30 + 51 + 82) = 51 / 163 = 0.312.

d) The probability of an adult being classified as a high or average level of obesity is (30 + 51 + 99) / (34 + 30 + 51 + 119 + 99 + 82) = 180 / 334 = 0.540.

e) If an adult has hypertension, the probability that he/she also has a high level of obesity is 51 / (34 + 30 + 51) = 51 / 115 = 0.444.

f) No, an adult's hypertension status and obesity categorization are not independent. This is because the probability of an adult having hypertension given he/she is classified as a high level of obesity (0.312) is not the same as the probability of an adult having hypertension (0.344).

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Answer:

The answer should be B. The mistake the studen made was subtracting 3/4 from 1, instead of multplying 3/4 and the 12 inside the brackets

Step-by-step explanation:

Answer:

9/25

Step-by-step explanation:

The missing values are numerator: 3,5 Denominators: 10,20, 30

For the numerators:

The numbers are increasing by 1.

Hence, the missing values are 3 and 5

The values of the numerators are 1,2,3,4,5,6,7

For the denominators:

The missing values are:

5 x2 = 10

5 x 4 = 20

5 x 6 = 30

Hence, the missing values are 10, 20 and 30

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Answer:

The values of x are 1, 13, -29, and 42.

The ordered pair that solves the system of equation is (0, 0).

To solve this system, we can substitute the first equation into the second equation to eliminate y:

x = 2x

Solving for x, we get x = 0.

Substituting x = 0 into the first equation, we get y = 0.

Therefore, the ordered pair that solves the system is (0, 0).

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Answer:

12x^2-23x-24

Step-by-step explanation:

use foil(first, outside, inside, last):

12x^2-32x+9x-24

simplify(combine like terms):

12x^2-23x-24

Answer:

\(f(x) = (4x + 3)(3x - 8) \\ f(x) = 12 {x}^{2} - 32x + 9x - 24 \\ \boxed{f(x) = 12 {x}^{2} - 23x - 24}\)

Answer:

9.64004x10^7

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

10

. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Answer:

Answer is (A) -4x^8

Step-by-step explanation:

The slope of the cubic polynomial and it's y-intercept are respectively; f(1) = -4 and f(0) = -6

We are given the equation;

f(x) = 2x³ - 6

Now, because the highest power of x is 3, it means that this is a cubic polynomial and not linear because it has a degree of 3

Thus, let us differentiate to get the slope;

f'(x) = 6x² - 6

At f'(x) = 0; x = 1

Thus, slope is;

f(1) = 2(1)³ - 6

f(1) = -4

y-intercept is f(x) at x = 0. Thus;

f(0) = 2(0³) - 6

f(0) = -6

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