an experiment requires the population of the bacteria to reach 2 million before the experiment can begin. The reproduction rate of the bacteria can be modeled by the exponential equation Y= 8 times 7^x. About how many hours X will it take for the bacteria population to reach 2 million?
round your answer the the nearest hour

For a function, f(x) = 1 + 3x , the computed value of lim h→0 [f(5 + h) − f(5)]/h is equals to the three.

In Mathematics, the limit of a function is a value of the function as the input of the function tries approaches some number. Function limits are used to define continuity, integrals, and derivatives. Mathematically, let f(x) be a function and L be limit of function, f(x) at x a exist if and only if lim f(x) = lim f(x) = L

x→a⁻ x→a⁺

We have, f(x) = 1+3x and will compute lim h→0 [f(5 + h) − f(5)]/h . Firstly, determine the value of function at x = 5 , x = 5+h.

So, f(5) = 1+ 3×5 = 16 and f(5+ h) = 1+3(5+h)

= 16+ 3h

Now, lim [ f(5 + h) − f(5)]/ h

h→0

= lim [(16 + 3h) − (16) ]/ h

h→0

= lim [ 16 + 3h - 16 ]/ h

h→0

= lim [ 3h/ h ] = lim [ 3h¹h⁻¹ ]

h→0 h→0

= lim [ 3h¹⁻¹ ] = lim [ 3h⁰ ]

h→0 h→0

= lim 3 (1) = 3 ( since, x⁰ = 1 )

h→0

Hence, the required limit value is 3.

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Answer:

the third side is 5 2/3 in.

s - 1

Step-by-step explanation:

a = side 1

b = side 2

c = side 3

a + b + c = 15

a = b - 4 => b = a + 4

c = a + 3

a + a + 4 + a + 3 = 15

3a + 7 = 15

3a = 8

a = 8/3 = 2 2/3 in

b = a + 4 = 6 2/3 in

c = a + 3 = 5 2/3 in

The equation that best models the data in the scatter plot is option D: y = x - 1.

In the given scatter plot, the data points appear to form a straight line that slopes upwards from left to right. The equation y = x - 1 represents a linear function with a slope of 1 and a y-intercept of -1. This means that for every unit increase in x, y increases by the same amount (1), and when x is 0, y is -1.

Option A, y = -x + 1, has a negative slope and would result in a line that slopes downwards from left to right, which does not match the data in the scatter plot.

Option B, y = -x - 1, also has a negative slope and a different y-intercept, which does not align with the data in the scatter plot.

Option C, y = x + 1, has a positive slope but a different y-intercept, which does not accurately represent the data points in the scatter plot.

Therefore, option D, y = x - 1, is the equation that best models the data in the scatter plot, based on the observed trend and the characteristics of the given options.

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10 miles per hour is the average journey speed.

Given that,

Some pupils choose to ride bikes. They move at a 15 mph average speed for the first two hours, and then they stop for lunch for an hour. The pupils ride at a 10 mph speed for an additional hour.

Average speed is ( total distance ) / ( total time )

During the 1st 2 hrs:

distance = speed * time

distance = 15 *2 = 30 miles

During the last hour:

distance = speed * time

distance = 10 *1 = 10 miles

Average speed = 30+10 / 2+1+1 = 40/4 = 10 mil/hr

Therefore, their average speed for the trip is 10 mil/hr

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Answer:

g(x) = -x + 1|-2

Step-by-step explanation:

Negating the x-values flips everything over the y-axis. See attached for example

Marlon can choose which 10 items to buy in 12397 ways.

Since Marlon wants to buy all 7 types of cheese, he needs to select 3 more items from the remaining 23 items (8 vegetables, 8 fruits, and 3 whole grain bread) to make a total of 10 items.

The formula for calculating the number of combinations is:

nCk = n! / (k! * (n-k)!)

By using the formula, we can calculate the number of ways.

The number of ways to select 3 items from 23 items is:

\($${23 \choose 3} = \frac{23!}{3!(23-3)!} = \frac{23 \times 22 \times 21}{3 \times 2 \times 1} = 1771$$\)

Therefore, Marlon can choose which 10 items to buy in 7 x 1771 = 12397 ways.

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Based on the given information, the question is asking about the apparent relationship between two variables: study hours and test score. The correct answer is c.

Test score tends to increase as the number of study hours increases. This suggests a positive correlation between the two variables, meaning that as one variable (study hours) increases, the other variable (test score) also tends to increase.
The apparent relationship between the two variables under consideration, which are study hours and test score, can be described as follows:
Your answer: c. Test score tends to increase as the number of study hours increases.
This is because, generally, the more time a person spends studying, the better their understanding of the material, which often leads to a higher test score.

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Answer:

6,000 or 6 hundredths

Step-by-step explanation:

The correct answer is: go up again after crossing the horizontal axis.

The normal distribution, also known as the Gaussian distribution or bell curve, is a symmetric probability distribution that is widely used in statistics and probability theory. It is characterized by its shape, which is symmetric around its mean.

In a normal distribution, the tails refer to the regions of the distributionthat extend to the left and right sides. These tails representthe probabilities of extreme values occurring in the distribution.Here are the correct explanations for the given options:The normal distribution tails touch the horizontal axis:The tails of the normal distribution do touch the horizontal axis at both ends. As the distribution extends towards negative and positive infinity, it asymptotically approaches the horizontal axis.

The normal distribution tails never go up again after crossing the horizontal axis:

This statement is incorrect. In a normal distribution, the tails reach their minimum point where they cross the horizontal axis, but then they curve back up as they approach the horizontal axis again. The distribution never touches or reaches zero height at any point.

The normal distribution tails never touch the horizontal axis:

This statement is incorrect. As mentioned earlier, the tails of the normal distribution do touch or approach the horizontal axis at both ends.

The normal distribution tails go up again after crossing the horizontal axis:

This is the correct explanation. After crossing the horizontal axis, the tails of the normal distribution curve upward again. This behavior indicates that the probability of extreme values increases as we move away from the mean in both directions.

In summary, the correct explanation is that the tails of the normal distribution go up again after crossing the horizontal axis.

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Answer:9.75

Step-by-step explanation:12x12 =144 and 7x7= 49 subtract 144-49 and get 95 the square root of 95 is approximately 9.747 rounded to the nearest hundredths place is 9.75

Answer:

9.75

Step-by-step explanation:

To do this problem, use the Pythagorean Theorem, \(a^2 + b^2 = c^2\). Right now, you have that a = 7 and c = 12, so it would be

\(7^2 + b^2 = 12^2\\49 + b^2 = 144\\b^2 = 95\\b = \sqrt{95}\)

Rounding to the nearest hundredth, you get: 9.75

The parametric description of the cap of the sphere x² + y² + z² = 36, for 6≤z≤36, is r(u,v) = 〈x(u,v), y(u,v), z(u,v)〉 = 〈6cos(u)sin(v), 6sin(u)sin(v), 6cos(v)〉, where 0≤u≤2π and arccos(6/36)≤v≤π/2.

To describe the sphere parametrically, we use spherical coordinates: x = ρsin(φ)cos(θ), y = ρsin(φ)sin(θ), and z = ρcos(φ), where ρ is the radius, θ is the azimuthal angle, and φ is the polar angle.

For the given sphere, ρ=6. We have 0≤θ≤2π as the sphere covers the full range of angles. For the cap, we need to find the range for φ.

Since 6≤z≤36, we can use z=ρcos(φ) to find the limits: arccos(6/36)≤φ≤π/2. Now we can write r(u,v) = 〈6cos(u)sin(v), 6sin(u)sin(v), 6cos(v)〉 with the given constraints for u and v.

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Answer:

y= 34x- 2 +5 (C)

Step-by-step explanation:

The equation: y = 27x-54 +5

We are to determine an equivalent equation of the form y=avx -h+k from the options given.

From the above, av = two digit coefficient of x. Hence av is constant.

h and k are also constant.

Let's check out the option to find the equation that is in the form y=avx-h+k

a) y=-273x + 2+5

In this equation, the coefficient of x is a 3-digit number. The option is wrong.

b) y=-3x+2 +5

In this equation, the coefficient of x is a 1-digit number. The option is wrong.

c) y=34x -2 +5

In this equation, the coefficient of x is a 2-digit number.

av = 34, h= 2 and k = 5

This equation is in the form of y=avx -h+k

The option is correct.

d) y=273/x-2 +5

This equation is not in the form of y=avx -h+k

The option is wrong.

Answer:

c is correct for the first one

horizontal: 2 units right

vertical: 5 units up

stretch/compression: stretched by a factor of 3

reflection: not reflected

Step-by-step explanation:

leave a heart pls :)

Comparing (A vs B) at the study level—using participants from one study for A and participants from another study for B—is invalid because it introduces potential confounding variables relating to differences between the studies, such as variations in research design, demographic, or environment.

When contrasting two distinct types or conditions (A and B) using independent random samples, the comparison between A and B is conducted at the group level, employing people from the two groups who are completely unrelated and different from one another.

In this scenario, the comparison is made by randomly assigning individuals to one of the two groups (A or B), such that the individuals in each group are unrelated to those in the other group. This is typically done to compare the effects of different treatments, interventions, or conditions on a particular outcome of interest.

For example, in a clinical trial testing the efficacy of a new drug, participants may be randomly assigned to either the treatment group (A) or the control group (B), such that each participant is only exposed to one of the two conditions.

Comparing (A versus B) at the individual or pair level, using every individual or every pair for both A and B, would typically involve a within-subjects design, where each participant is exposed to both conditions (A and B) in a random order.

Comparing (A versus B) at the study level, using the individuals in one study for A and the individuals in another study for B, is not a valid comparison as it introduces potential confounding factors related to differences between the studies, such as differences in study design, population, or setting.

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Answer:

444

Step-by-step explanation:

13 + 34 + 25 + 10 + 8 = 90

10/90 * 4000 = 444

Answer: You will expect 444 white cars passed by.

Step-by-step explanation:

The are 5 different colors so we need to find the probability of white cars.

There are 10 white cars But we need to find the total number of cars in all.

13+34+25+10+8 = 90

so the probability of a white car passing by is 25/90 = which reduces to 10/90  

Now multiply 1/9 by 4000.

1/9 * 4000  =  444

Answer:    72

Step-by-step explanation: just ask safary, 80% of 90 to get 72

A student must answer 72 questions correctly out of the 90 questions on the test to achieve an 80% accuracy rate and pass the test.

To pass the test with an 80% score, a student must answer 72 questions correctly out of the total 90 questions. This can be calculated by first finding out what 80% of 90 is, which can be done by multiplying 0.8 (the decimal form of 80%) by 90:

0.8 x 90 = 72

Therefore, a student needs to answer at least 72 questions correctly to pass the test with an 80% score.

To determine the number of questions a student must answer correctly to pass the test, we will use the given criteria: the student needs to achieve 80% accuracy, and there are 90 questions on the test.

To find the required number of correct answers, we will multiply the total number of questions (90) by the percentage required to pass (80%). The formula for this calculation is:

(Number of correct answers) = (Total questions) × (Percentage required to pass)

In our case, this translates to:

(Number of correct answers) = (90) × (80%)

Converting the percentage to a decimal value by dividing it by 100, we get:

(Number of correct answers) = (90) × (0.8)

Now, we multiply the values:

(Number of correct answers) = 72

Therefore, a student must answer 72 questions correctly out of the 90 questions on the test to achieve an 80% accuracy rate and pass the test.

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Expreion have a quotient of 6 is 0. 48 ÷ 0. 08.

What is quotient?

In mathematics, the quotient is the result of performing division operations on two integers. It is essentially the outcome of the division procedure. In arithmetic division, the terms divisor, dividend, quotient, and remainder are employed in four different ways.Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

0. 48 ÷ 0. 8

=0.06

The solution for Long Division of \($\frac{4.8}{8}$\) is 0.6

The solution for Long Division of \($\frac{0.48}{0.08}$\) is 6.

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Answer:

(x+11), (y+15)

Step-by-step explanation:

the point v gets translated 11 points to the right, so the translation is x+11.

Point v also gets translated 15 points up, so the translation is y+15

i) The counting numbers which are multiples of 5 and less than 50 can be represented using the roster method as:

{5, 10, 15, 20, 25, 30, 35, 40, 45}

ii) The set of all-natural numbers x for which x+6 is greater than 10 can be represented as:

{5, 6, 7, 8, 9, 10, 11, 12, 13, ...}

iii) The set of all integers x for which 30/x is a natural number can be represented as:

{-30, -15, -10, -6, -5, -3, -2, -1, 1, 2, 3, 5, 6, 10, 15, 30}

Note that in the third set, we include both positive and negative integers that satisfy the condition.

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Answer:

11.4 and 11 2/5

Step-by-step explanation:

hope this helps if it does, can i have brainliest?

Answer:

11 as a whole number or 11.4 and 11 2/5 as a fraction

Answer:

-3 ( x + 4) = -3x-3 (4) it's option D

Answer:

(-5,5)

Step-by-step explanation:

Answer:

  the graph of f has 3 turning points

Step-by-step explanation:

The graph of a function has a turning point (local extreme) where the derivative is zero and changes sign.

The derivative of a function tells you the slope of that function's graph. When the derivative is positive, the function is increasing. When the derivative is negative, the function is decreasing.

Where the derivative changes sign from positive to negative, the graph of the function changes direction from increasing to decreasing. At the point where the derivative is zero (between positive and negative), the graph is neither increasing nor decreasing. A tangent to the function at that point is a horizontal line, and the function itself is at a local maximum, a turning point.

The reverse is also true. When the derivative changes sign from negative to positive, the function changes from decreasing to increasing. The turning point where that occurs is a local minimum.

If the derivative crosses the x-axis (changes sign) 3 times, then there are three local extremes in the graph of f. The graph of f has 3 turning points.

__

Additional comment

In the attached graph, we have constructed a derivative function (red) that crosses the x-axis 3 times. It is the derivative of f(x), which is shown in blue. The purpose is to show the local extremes of f(x) match the zero crossings of the derivative.

Answer:

k = 6

Step-by-step explanation:

"The product of 12 and k"  means 12*k

"is 84" means = 84

Therefore:  

12k = 84

k = 6

Answer:

The suit originally cost $200.

Step-by-step explanation:

In order to calculate the original price of the suit, you can use a rule of three considering that $116 represents 58% of the original price:

116 → 58%

x  ←  100%

x=(116*100)/58

x=200

According to this, the answer is that the suit originally cost $200.

Answer: (-1,1)

Step-by-step explanation:

8 x 7s = 56s

8 x (-2) = -16

so 8(7s - 2) = 56s - 16

The average daily high temperatures in Ottawa, the capital of Canada, refer to the typical maximum temperatures recorded in the city on a daily basis. These temperatures provide a measure of the climatic conditions experienced in Ottawa and can vary throughout the year.

The average daily high temperatures in Ottawa are a representation of the highest temperatures observed during a typical day. They serve as an indicator of the prevailing weather conditions in the city and help people understand the seasonal variations in temperature. Ottawa, being the capital of Canada, experiences a continental climate with four distinct seasons. During the summer months, the average daily high temperatures in Ottawa tend to be relatively warm, ranging from the mid-20s to low 30s Celsius (mid-70s to high 80s Fahrenheit). This is the time when Ottawa experiences its highest temperatures of the year. In contrast, during the winter months, the average daily high temperatures drop significantly, often reaching below freezing point, with temperatures in the range of -10 to -15 degrees Celsius (10 to 5 degrees Fahrenheit). The average daily high temperatures in Ottawa can vary throughout the year, with spring and fall exhibiting milder temperatures. These temperature trends play a crucial role in determining the activities and lifestyle of the residents in Ottawa, as well as influencing various sectors such as tourism, agriculture, and outdoor recreation.

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The given polynomial equation is x⁵ - x⁴ + 10x³ - 10x² + 9x - 9 = 0. It is a quintic equation of degree 5. The equation does not have any rational roots, and finding its exact solutions may require numerical methods or approximations.

The given equation is a quintic polynomial equation, which means it is a polynomial of degree 5. The general form of a quintic equation is ax⁵ + bx⁴ + cx³ + dx² + ex + f = 0.

To solve this equation exactly, we can use various methods such as factoring, synthetic division, or the rational root theorem. However, in this case, the equation does not have any obvious rational roots. Therefore, finding its exact solutions may be challenging.

Alternatively, we can use numerical methods or approximations to find the approximate solutions of the equation. This involves using numerical techniques such as the Newton-Raphson method or the bisection method to iteratively approach the roots of the equation.

In conclusion, the given polynomial equation x⁵ - x⁴ + 10x³ - 10x² + 9x - 9 = 0 is a quintic equation with no apparent rational roots. Finding its exact solutions may require numerical methods or approximations.

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