The function f(x)=80(1.5)x models a bacteria population after x hours. how does the average rate of change between hour 4 and hour 8 compare to the average rate of change between hour 0 and hour 4?

To maximize his earnings, John should install 5 Secure alarms and 5 Maximum Secure alarms, and then demonstrate 5 Secure alarms and 2 Maximum Secure alarms.

Let's first consider the time constraints. Since John cannot work more than 40 hours per week, we have the following inequality:

1h(install Secure) x + 2.2h(install Maximum Secure) y + 0.25h(demo Secure) x + 0.4h(demo Maximum Secure) y <= 40

where x and y are the number of Secure and Maximum Secure alarms John installs, respectively.

John is required to work a minimum of 20 hours per week as an installer and a maximum of 20 hours as a demonstrator. So we have the following constraints:

1h(install Secure) x + 2.2h(install Maximum Secure) y >= 20 (minimum hours as installer)

0.25h(demo Secure) x + 0.4h(demo Maximum Secure) y <= 20 (maximum hours as demonstrator)

Now, we can set up the objective function to maximize John's earnings:

E(x,y) = 3(install Secure) x + 3(install Maximum Secure) y + 2(demo Secure) x + 2(demo Maximum Secure) y

= 5x + 5.6y

Using linear programming techniques, we can solve for the optimal values of x and y that maximize the objective function and satisfy the constraints. The optimal values turn out to be x=5 and y=5 for installing alarms, and x=5 and y=2 for demonstrating alarms. Therefore, John should install 5 Secure alarms and 5 Maximum Secure alarms, and then demonstrate 5 Secure alarms and 2 Maximum Secure alarms, to maximize his earnings.

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Answer:

14.4 acres for corn (if you need to round, it's 14 acres.)

Step-by-step explanation:

40% = 19.2 acres

20% = 9.6 acres

10% = 4.8 acres

40 + 20 + 10 = 70

100-70 = 30

30% = 14.4 acres

Answer:

14.4acres

Step-by-step explanation:

The total acres is 48 acres, which is 100%

when you add percentage of others, wheat and cotton you get 70%.

which leaves you with 30%

therefore, 30% of the land is for corn..

which is 14.4 acres.

0.30 x 48acres= 14.4 acres

The sampling plan's reliability or validity. Before using a sampling plan, it is crucial to examine its reliability or validity. This assessment helps determine how well the sampling plan can discriminate between good and bad quality.

Reliability refers to the consistency and stability of the sampling plan's results. A reliable sampling plan consistently produces similar outcomes when applied to the same population under similar conditions. If a sampling plan is unreliable, its results may vary widely, leading to inconsistent judgments about quality.

Validity, on the other hand, refers to the extent to which the sampling plan accurately measures or identifies the desired characteristics or qualities. A valid sampling plan provides a true representation of the quality being assessed and ensures that good quality is distinguished from bad quality effectively.

By examining the reliability and validity of a sampling plan, we can gain confidence in its ability to accurately discriminate between good and bad quality. This examination may involve conducting pilot tests, analyzing historical data, or seeking expert opinions to assess the plan's effectiveness and suitability for the specific context.

Without considering the reliability and validity of a sampling plan, there is a risk of making incorrect judgments or decisions based on flawed or biased sampling outcomes. Therefore, it is essential to evaluate these aspects before using a sampling plan to ensure the reliability and accuracy of the results obtained.

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The linear function graphed is defined as follows:

y = 0.6x + 5.

The slope-intercept representation of a linear function is presented by the equation below:

y = mx + b.

In which:

From the graph, it is found that the function crosses the y-axis at y = 5, hence the intercept is:

b = 5.

When x = 5, y = 8, meaning that y increases by 3 when x increased by 5, hence the slope is calculated as follows:

m = 3/5 = 0.6.

Hence the equation is:

y = 0.6x + 5.

The graph is presented by the image at the end of the answer.

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Answer:

see bellow

Step-by-step explanation:

Given:

The line symmetry.

Aim:

We need to find the transformation that line symmetry involved.

Explanation:

Recall that line symmetry is the line in the middle acts as a mirror.

the figure flips to make a mirror image of itself in reflection.

Hence the line of symmetry is involved reflection transformation.

Final answer:

The line of symmetry is involved in reflection transformation.

On solving the provide question, we can say that by quadratic equation  number of corn plants in the row are 52 - 4 = 21

A quadratic equation is x ax2+bx+c=0, which is a quadratic polynomial in a single variable. a 0. The Fundamental Theorem of Algebra ensures that it has at least one solution since this polynomial is of second order. Solutions may be simple or complicated. An equation that is quadratic is a quadratic equation. This indicates that it has at least one word that has to be squared. The formula "ax2 + bx + c = 0" is one of the often used solutions for quadratic equations. where are numerical coefficients or constants a, b, and c. where the variable "X" is unidentified.

number of rows be x.

the number of corn plants = x - 4

So,

\(x(x - 4) = 525\\x^2 - 4x - 525 = 0\\x = 25, x = -21\\\)

number of corn plants in the row are 52 - 4 = 21

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Given:

prtion D is the correct answer.

Answer:

Solve the system of equations.

x+6y=-7

2x+12y=-14

x=1

y=12

Step-by-step explanation:

Answer:

∞ amount of solutions

The correct answer is c. tunnel. A narrow underground excavation with a depth greater than the width, but no wider than 15 is called a tunnel.

Tunnels are commonly used for transportation purposes, such as road or railway tunnels, as well as for utilities like water or sewage systems. They are also used in mining operations to access underground resources.

Tunnels are different from trench excavations, which are narrow excavations that are typically used for utility installations or drainage purposes.

Excavation is a broader term that refers to any process of digging or removing earth or rock.

A borrow pit, on the other hand, is an excavation where soil, sand, or gravel is taken from to be used in construction projects.

So, the correct term for a narrow underground excavation with the given characteristics is a tunnel.

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Answer:

4x + 3 = 2x -8

subtraction property of equality: 4x - 2x = -8 - 3

2x = -11

division property of equality: x = -11/2

Answer:

Last year's price was $12.50.

Step-by-step explanation:

We'll use the variable x to represent last year's price. First, we have to set up an equation:

.60x + x  = 13.25

We get this equation because $13.25 is 6% MORE than last year's price, meaning we need to add the original price to the increase. Next, we combine like terms and solve for x:

.06x + x = 13.25

1.06x=13.25

1.06 r   1 .06 = 13.25 1.06

=$12.50

Last year's price was $12.50.

Really Hope This Helps :) Stay safe folks <3

Answer:

-1

Step-by-step explanation:

Answer:

80+60+3x+4=180

140+3x+4=180

144+3x=180

3x=180-144

3x=36

x=12

Answer:

x = 12

Step-by-step explanation:

All triangles equal to 180 degrees so, we can set up this expression:

180 = (3x + 4) + 80 + 60

All we have to do is solve:

180 = (3x + 4) + 80 + 60

180 = 3x + 4 + 140

180 = 3x + 144

-144        -144

36 = 3x

/3     /3

12 = x

The example of an association claim is "Drinking alcohol increases cellular aging."

Cellular ageing is the term used to describe the alterations that take place in cells throughout time, which result in a decrease in function and a higher risk of disease.

Numerous things, such as oxidative stress, inflammation, and cellular damage brought on by environmental pollutants, contribute to these alterations.

Cells lose their ability to operate as they become older, which can lead to a variety of age-related illnesses and ailments, such as cancer, cardiovascular disease, and neurodegeneration.

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Answer:

Below

Step-by-step explanation:

Radians =  degrees * pi /180

Radians * 180/pi   =  degrees

Answer:

$2500

Step-by-step explanation:

Given that:

Darcy's weekly earning = $982 plus 18% commission on food sales

Harper's weekly earning = $807 plus 25% commision

amount of food sales will result in Darcy and Harper earning the same amount for the week

Let amount of food sales = f

Darcy's earning = Harper's earning

(982 + 18%*f) = (807 + 25% * f)

(982 + 0.18f) = (807 + 0.25f)

982 + 0.18f = 807 + 0.25f

982 - 807 = 0.25f - 0.18f

175 = 0.07f

f = 175 / 0.07

f = 2500

Hence amount of food sales that will result in both Darcy and Harper earning the same amount = $2500

The standard deviation of a probability distribution must be a non-negative value. It represents the measure of the dispersion or spread of the data in the distribution. The standard deviation quantifies how much the values in the distribution deviate from the mean.

Mathematically, the standard deviation (σ) is calculated as the square root of the variance (σ^2) of the probability distribution. The variance is obtained by calculating the average of the squared differences between each data point and the mean, weighted by their respective probabilities.

The standard deviation provides important information about the shape and characteristics of the distribution. A smaller standard deviation indicates that the data points are closer to the mean, resulting in a more concentrated or less dispersed distribution. Conversely, a larger standard deviation indicates that the data points are more spread out from the mean, resulting in a wider or more dispersed distribution.

The standard deviation of a probability distribution must be a non-negative value and is a measure of the dispersion or spread of the data in the distribution.

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∠c = 100° (Since ∠c and ∠100° are opposite angles)

∠c - ∠b = 70° (∠b =30° since ∠b and ∠30° make 60°)

∠a = 30° (Since ∠a and ∠30° vertically opposite angles)

What are opposite angles?

Angles, where two lines cross that are directly opposite one another, are known as opposite angles. The vertex, where the lines come together to produce the angle, is the location of the junction. Vertical angles are another name for opposite angles. Congruent angles are those that have opposite angles that are equal or have the same measurement. For instance, A and C are referred to be opposite angles in the parallelogram ABCD. B and D are the opposing angles in a similar way.

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The value of K is 20

The LHS (Left Hand Side) reduces to 2 x 10^1005

2 x 10^1005  =k x 10^1004                    

k =[2 x10^1005] / [10^1004] = 2 x 10

k =20                                                    

A positive integer is defined as a whole number greater than zero. All counting numbers are included in the set of positive integers.

Positive numbers include: 1, 2, 88, 800, 9000, and so on. Positive numbers are whole numbers with the symbol (+) in front of the numerical value. Most of the time, the plus sign is simply represented without the symbol. Positive numbers outnumber negative numbers and zero. On the number line, positive numbers are represented to the right of zero

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Answer:

I think it's the zero property

Step-by-step explanation:

Answer:

its c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

First of all we can simplify the the first therm because a property of power says that we can simplify a power of power by multiply the exponents

a^4b^8c^2

For the same property 2c^5 becomes 8c^15

now we have

(a^4b^8c^2)(6a^3b)(8c^15)/4a^6b^12c^3

if we simplify the numbers we can obtain

(a^4b^8c^2)(6a^3b)(2c^15)/a^6b^12c^3

If we simplify the parameters we can obtain

12ac^14/b^3

Answer:

no, the ratios are not proportional

Step-by-step explanation:

124/98 is not equivalent to 315/225

The reflected and then translated coordinates of the triangle are R'( 3,2), S'(3,5), and T'( 8, 5).

A sort of symmetry known as reflective symmetry occurs when one half of an object mirrors the other half. It also goes by the name "mirror symmetry."

For instance, both the left and right sides of a human face are typically the same. Most butterflies have identical wings on their left and right sides.

The given points of the triangle are R(3,-4), S(3,-7), and T(8,-7).

The reflected points of the triangle will be:-

R(3,-4) = R'( 3, 4)

S(3,-7) = R'(3,7)

T(8,-7) = R(8, 7)

The translated points by 2 units down will be:-

R'( 3, 4) = R''( 3, 2)

R'(3,7) = S''( 3, 5)

R(8, 7) = T''(8,5)

Therefore, the reflected and then translated coordinates of the triangle are R'( 3,2), S'(3,5), and T'( 8, 5).

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Answer:

so the other guy can get brainlyest

Step-by-step explanation:

pls like and rate

Answer:

1. d

2. c

3. b

4. a

Step-by-step explanation: use PEMDAS to solve

Answers:

====================================================

Explanation:

The values of the variables and numbers in radical form are presented as follows;

43a) x > -5

40a) a > 0

44b) x < 0

47e) x > 0

43b) x = The set of all real numbers

44a) The set of all numbers

45 a) x = 14

45 b) x = 0

45 c) x = -1

45 d) x = -4

45 e) x = 1

42 d)x = 5/196

9 e) x = 4

9 f) x = 8

9 a) √(0.6/36) ≈ 0.13

9 h) √((4 - 10)/(0.01)) = i·10·√6

A radical also known as a root is represented using the square root or nth root symbol and is the opposite of an exponent.

43 a) \(\sqrt{x + 5}\)

x + 5 > 0

Therefore, x > -5

40a) ∛a

a > 0

44b) √(-5·x)³

-5·x < 0

x < 0

47e) √(13 - (13 - 2·x))

(13 - (13 - 2·x)) > 0

13 > (13 - 2·x)

0 > -2·x

x > 0

43b) √|x| + 1

x = All real numbers

44 a) √(-2·x)²

√(-2·x)² = -2·x

x = Set of all numbers

45 a) √(x - 5) = 3

(x - 5) = 3² = 9

x = 9 + 5 = 14

45b) √(2·x + 4) = 2

2·x + 4 = 2²

2·x = 2² - 4 = 0

x = 0/2 = 0

45c) √(x·(x + 1)) = 0

(x·(x + 1)) = 0

(x + 1) = 0

x = -1

45 d) √(x + 5) = -1

(x + 5) = (-1)²

x + 5 = 1

x + 5 = 1

x = 1 - 5 = -4

x = -4

45e) √x + x² = 0

√x = -x²

(√x)² = (-x²)² = x⁴

x  = x⁴

1 = x⁴ ÷ x = x³

x = ∛1 = 1

x = 1

42d) \(\sqrt{\dfrac{5}{x} } +3= 17\)

\(\sqrt{\dfrac{5}{x} }= 17-3 =14\)

\(\dfrac{5}{x} }=14^2=196\)

\(x = \dfrac{5}{196}\)

9e) \(\sqrt{\dfrac{4}{x} } = 1\)

\(\dfrac{4}{x} } = 1^2\)

x × 1² = 4

x = 4

19f) ∛x - 2 = 0

∛x = 2

x = 2³ = 8

9a) \(\sqrt{\dfrac{0.6}{36} }\)

\(\sqrt{\dfrac{0.6}{36} }\) = \(\sqrt{\dfrac{1}{60} }= \dfrac{\sqrt{15}}{30} \approx 0.13\)

9h) \(\sqrt{\dfrac{4-10}{0.01} }\)

\(\sqrt{\dfrac{4-10}{0.01} }\)= √(-600) = √(-1)·√(600) = i·10·√6

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Answer:

$23.25

Step-by-step explanation:

If you add both coupons (3.75) from the total of the meal without the tax you get 27 - 3.75 = 23.25 dollars