the delivery company offered Sam a 10% discount on her next 3 orders, and she took them up on their offer. her next 3 deliveries registered 80 3/4kg 50,690,000mg, and 24,009g. what is the range if delivery weights in g? what is the mean of delivery weights in kg? Round answers to two decimal places.

Answer:

She bought 6 pounds of coffee.

Step-by-step explanation:

80-36.38=43.62

so she spent $43.62 on coffee

43.62 divided by 7.27 = 6

Answer:

Step-by-step explanation:

5/6 and 3/8  LCD is 24

Answer:

its a

Step-by-step explanation: its a because im 7

Answer:

answer is A

Step-by-step explanation:

we can see that the growth rate increases as x increases. However, since we are only interested in the average growth rate over the interval [1, 3], we can calculate it using the formula mentioned above.

How to solve the question?

To determine the average growth rate of each sample over the interval [1, 3], we need to calculate the ratio of the change in bacteria population to the change in time for each sample, and then take the average of these ratios over the given interval.

For Sample A, the change in bacteria population over the interval [1, 3] is 480 - 120 = 360, and the change in time is 3 - 1 = 2. So the average growth rate of Sample A over this interval is 360/2 = 180 bacteria per hour.

For Sample B, the change in bacteria population over the interval [1, 3] is 480 - 240 = 240, and the change in time is 3 - 1 = 2. So the average growth rate of Sample B over this interval is 240/2 = 120 bacteria per hour.

For Sample C, the change in bacteria population over the interval [1, 3] is (1.2600)(1.2*1.2 - 1) = 345.6, and the change in time is 3 - 1 = 2. So the average growth rate of Sample C over this interval is 345.6/2 = 172.8 bacteria per hour.

For Sample A, the growth rate is the highest, followed by Sample C and then Sample B. Therefore, the order of the samples by their average growth rate over the interval [1, 3] from least to greatest is Sample C, Sample A, and Sample B.

It's important to note that the growth rate of Sample C is not constant but increases over time due to the 20% increase in the initial bacteria population. The exponential function f(x) = 200(3/2)in power x represents this growth, and we can see that the growth rate increases as x increases. However, since we are only interested in the average growth rate over the interval [1, 3], we can calculate it using the formula mentioned above.

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Your complete question is :-A scientist is studying the growth rates of three samples of bacteria in different conditions. The following three functions represent the number of bacteria in the three samples after x hours.

Sample A Sample B Sample C

x g(x)

0 60

1 120

2 240

3 480

Answer:

Step-by-step explanation:

To find Bianca's walking speed, we need to divide the distance she walks by the time it takes her to walk that distance. We can do this by converting both the distance and time to the same unit of measure.

Since 1 hour is equal to 60 minutes, 1/3 of an hour is equal to 1/3 * 60 minutes = 20 minutes. Now that we have the distance in miles and the time in minutes, we can divide the distance by the time to find Bianca's walking speed.

5/6 of a mile is equal to 5/6 * 1 mile = 0.83 miles. So, Bianca's walking speed is 0.83 miles / 20 minutes = 0.0415 miles per minute. To convert this to miles per hour, we can multiply by the conversion factor of 60 minutes per hour. This gives us a walking speed of 0.0415 miles/minute * 60 minutes/hour = 2.49 miles per hour. So, Bianca's walking speed is 2.49 miles per hour.

Answer:

(x + 4)² + (y + 6)² = 64

Step-by-step explanation:

The standard form of equation of a circle is given as;

(x - a)² + (y - b)² = r²

Where;

a and b are the centre coordinates and r is the radius.

First of all, let's Calculate the midpoint coordinates.

This gives;

((-4 + (-4))/2), (2 + (-14))/2)

This is now (-4, -6)

Distance of radius is;

r = √((-4 - (-4))² + (-6 - 2)²)

r = 8

Equation of circle is now;

(x - (-4))² + (y - (-6))² = 8²

This gives;

(x + 4)² + (y + 6)² = 64

9514 1404 393

Answer:

  M = 16

Step-by-step explanation:

M is the average of the end point values:

  M = (P +Q)/2

  M = (11 +21)/2 = 32/2

  M = 16

__

If you find half the difference, and add it to the lower value, you find it is the same:

  M = P + 1/2(Q -P)

  M = 11 + 1/2(21 -11) = 11 + 1/2(10) = 11 +5

  M = 16

You can see this is the same if you simplify the literal equation.

  M = P +1/2Q - 1/2P = P(1 -1/2) +1/2Q

  M = 1/2P +1/2Q

  M = (P +Q)/2

The correct option D: the origin, has the symmetry of the volume of sphere for the graph of the function rule.

For the stated question.

The volume of the sphere is modeled by the power function with respect to the radius as;

V = f(r) = 4/3πr³

As, r is independent of any of the coordinate axis.

Thus, the function rule's graph, which describes the volume of the sphere, is symmetric with regard to the origin.

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To me, Benjamin should use graph A to show the decrease in temperature. It would be best for Benjamin to use this graph for his presentation because the temperature decrease in this graph

In mathematics, the graph of a function f is the set of ordered pairs, where {\displaystyle f(x)=y.} In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.

here, we have,

How to determine the appropriate graph?

The graphs that complete the question are added as an attachment

From the attached graph, we have the following highlights:

The data points on the y-axis of graph A are in an arithmetic sequence i.e. 30, 60, 90, 120....

The data points on the y-axis of graph B are not in an arithmetic sequence i.e. 60, 20, 40, 80....

The above means that graph B is a misleading graph

Hence, Benjamin should use graph A for his report

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Answer:

c hope this helps have a great day god bless you

Step-by-step explanation:

Answer: They resold them for $30 more than the original price.

Answer: 37.5%

Step-by-step explanation:

$80 - $50 = $30,

$30/$80 = 0.375 > 37.5%

The equation of the line perpendicular to y=1/2x-1 and passing through the point (5,6) is y = -2x + 16.

To find the equation of the line perpendicular to y=1/2x-1, we need to determine its slope. We can recall that the slope of a line in slope-intercept form, y = mx + b, is given by m, the coefficient of x. So in the given equation y=1/2x-1, the slope is 1/2.

The slope of a line perpendicular to this line will be the negative reciprocal of the slope, which means it will be -2. To see why this is true, remember that the product of the slopes of two perpendicular lines is always -1. So if the slope of the original line is m, the slope of the perpendicular line will be -1/m.

Now that we know the slope of the perpendicular line is -2, we can use the point-slope form of the equation of a line to find its equation. The point-slope form is:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is a point on the line.

We are given a point on the perpendicular line, (5, 6), so we can substitute that into the equation and also substitute in the slope, -2:

y - 6 = -2(x - 5)

y - 6 = -2x + 10

y = -2x + 16

Hence, the equation of the line perpendicular to y=1/2x-1 and passing through the point (5,6) is y = -2x + 16.

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15714.2857

2meters is 200cm and 10cm is the diameter so the radius is 5cm

All 3 angles add up to 180 degrees.

so 40 + 2x + 3x = 180

40 + 5x = 180

5x = 140

x = 28

So angle A = 2x = 2(28) = 56 degrees.

Answer: 56°

Step-by-step explanation:

We know that a triangle's angles add up to 180 degrees. We will create an equation to help us solve for x using this information.

     Given:

           2x + 3x + 40 = 180

     Combine like terms:

           5x + 40 = 180

     Subtract 40 from both sides of the equation:

           5x = 140

     Divide both sides of the equation by 5:

           x = 28

Next, we will substitute this value of x into the expression for ∠A.

     ∠A = 2x = 2(28) = 56°

The correct answer is C) f(x) = 5 cos 2/3 x, as it has an amplitude of 5 and a period of π/3. To determine which function has an amplitude of 5 and a period of π/3, we need to analyze the properties of the trigonometric functions presented in the options.

The general form of a cosine function is f(x) = A cos(Bx), where A represents the amplitude and B represents the frequency or period of the function.

Option A) f(x) = 5 cos 6x: This function has an amplitude of 5, but its period is 2π/6, which is not equal to π/3. So, this option is not the correct answer.

Option B) f(x) = 1/5 cos 6x: This function has an amplitude of 1/5, which is not 5 as required. Therefore, this option is not the correct answer.

Option C) f(x) = 5 cos 2/3 x: This function has an amplitude of 5, which matches the given condition. Moreover, its period is 2π/((2/3)x) = π/3, which is the desired period. Hence, this option satisfies both conditions.

Option D) f(x) = 3 cos 5x: This function has an amplitude of 3, which is not 5 as required. Thus, this option is not the correct answer.

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Answer:

Step-by-step explanation:

7x - 382 = 3x - 161

4x - 382 = -161

4x = 221

x = 55.25

NIMS incident command and coordination is based on fourteen NIMS Management Characteristics.

On fourteen NIMS Management Characteristics, NIMS bases incident command and coordination. The National Incident Management System's fourteen traits serve as pillars, enhancing its durability and effectiveness.

The ICS organizational design is adaptable. To improve internal organizational administration and coordination with the outside world, distinct functional elements can be formed and split as needed.

In all, NIMS integration is supported by 14 implementation objectives. NIMS is adaptable and suitable for all kinds of schools, school systems, and educational organizations, just as it applies to all kinds of emergency occurrences.

The following 14 NIMS management traits, each of which adds to the overall system's strength and effectiveness, form the foundation of the Incident Command System (ICS): Typical Language.

Therefore, the correct answer is option C. 14.

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Answer:

d

Step-by-step explanation:

Answer:

a)100m, b) 50m

Step-by-step explanation:

61 m+ 47 m=108 m rounds to 100

21 m+ 28 m=49m rounds to 50

Answer:

a) \(\mathbf{4 + \dfrac{x}{1!}- \dfrac{2x^2}{2!} ...}\)

b)  See Below for proper explanation

Step-by-step explanation:

a) The objective here  is to Use the power series expansions for ex, sin x, cos x, and geometric series to find the first three nonzero terms in the power series expansion of the given function.

The function is \(e^x + 3 \ cos \ x\)

The expansion is of  \(e^x\) is \(e^x = 1 + \dfrac{x}{1!}+ \dfrac{x^2}{2!}+ \dfrac{x^3}{3!} + ...\)

The expansion of cos x is \(cos \ x = 1 - \dfrac{x^2}{2!}+ \dfrac{x^4}{4!}- \dfrac{x^6}{6!}+ ...\)

Therefore; \(e^x + 3 \ cos \ x = 1 + \dfrac{x}{1!}+ \dfrac{x^2}{2!}+ \dfrac{x^3}{3!} + ... 3[1 - \dfrac{x^2}{2!}+ \dfrac{x^4}{4!}- \dfrac{x^6}{6!}+ ...]\)

\(e^x + 3 \ cos \ x = 4 + \dfrac{x}{1!}- \dfrac{2x^2}{2!} + \dfrac{x^3}{3!}+ ...\)

Thus, the first three terms of the above series are:

\(\mathbf{4 + \dfrac{x}{1!}- \dfrac{2x^2}{2!} ...}\)

b)

The series for \(e^x + 3 \ cos \ x\) is \(\sum \limits^{\infty}_{x=0} \dfrac{x^x}{n!} + 3 \sum \limits^{\infty}_{x=0} ( -1 )^x \dfrac{x^{2x}}{(2n)!}\)

let consider the series; \(\sum \limits^{\infty}_{x=0} \dfrac{x^x}{n!}\)

\(|\frac{a_x+1}{a_x}| = | \frac{x^{n+1}}{(n+1)!} * \frac{n!}{x^x}| = |\frac{x}{(n+1)}| \to 0 \ as \ n \to \infty\)

Thus it converges for all value of x

Let also consider the series \(\sum \limits^{\infty}_{x=0}(-1)^x\dfrac{x^{2n}}{(2n)!}\)

It also converges for all values of x

Answer:

Draw a diagram with rectangle where 10" is the diagonal, 6" is the bottom of the screen, then you have a right triangle with hypotenuse of 10 and one side = 6.

Use Pythagorean theorm to find unknown side x;

x2 + 62 = 102                Solving for x, you get    X = 8 inches

Answer:

Our answer is

= (A) a hexagon

Step-by-step explanation:

8 sides

Answer: 19

Step-by-step explanation: i got the question wrong

Answer:

x = 3°

Step-by-step explanation:

Given the equilateral triangle with the following angles:

m∠1 = (21x - 3)°

m∠2 = (17x + 9)°

m∠3 = (15x + 15)°

In order to solve for the value of x, we must apply the Triangle Sum Theorem, which states that the sum of the measures of all interior angles of a triangle is 180°.

Thus, we can set up the following equation to solve for x:

m∠1 + m∠2 + m∠3 = 180°

(21x - 3)° + (17x + 9)° + (15x + 15)° = 180°

21x°  - 3°  + 17x°  + 9° + 15x° + 15° = 180°

Combine like terms and constants:

21x°  - 3°  + 17x°  + 9° + 15x° + 15° = 180°

53x° + 21° = 180°

Subtract 21° from both sides:

53x° + 21° - 21° = 180° - 21°

53x° = 159°

Divide both sides by 53 to solve for x:

\(\displaystyle\mathsf{\frac{53x^\circ}{53^\circ}\:=\:\frac{159^\circ}{53^\circ}}\)

x = 3°

Therefore, the value of x = 3°.

In order to verify whether we have the correct value of x, we must substitute its value into the given angles:

m∠1 = (21x - 3)° = 21(3)° - 3° = 60°

m∠2 = (17x + 9)° = 17(3)° + 9° = 60°

m∠3 = (15x + 15)° = 15(3)° + 15° = 60°

m∠1 + m∠2 + m∠3 = 180°

60° +  60° +  60° =  180°

180° = 180° (True statement).

Answer:

The answer in exact form is 40/9, decimal form is 4.444..., and in mixed number form is 4 4/9.

Answer:sorry I don’t speak proeze najsztbsza but do you know the way

Step-by-step explanation:

The solution to the equations are n(-2) = 4/3, n(0) = 2/3 and n(5) = -1

The equation of the function is given as:

n(x) = -1 -1/3x + 1 2/3

The replacement set is given as

x = -2, 0, 5

So, we replace the variables using the elements in the replacement set

When x = -2, we have

n(-2) = -1 -1/3 x -2 + 1 2/3

Evaluate the equation

So, we have the following equation

n(-2) = 4/3

When x = 0, we have

n(0) = -1 -1/3 x 0 + 1 2/3

Evaluate the equation

So, we have the following equation

n(0) = 2/3

When x = 5, we have

n(5) = -1 -1/3 x 5 + 1 2/3

Evaluate the equation

So, we have the following equation

n(5) = -1

Hence, the values of the functions are 4/3, 2/3 and -1

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Answer:

$5 for each dog collar

Step-by-step explanation:

90+85=175  

\(\frac{175}{35}\)=5 which gives me my answer for how much should she charge for each dog collar.