John brother Ricky also works part time in the summer. Ricky started working at the same time as John with a. Account balance of $227and deposit $24 each week. Writ an expression for the amount Ricky has in the bank after w week

The patient is recieving nearly 35.5 miligrams of the drugs for  per kilogram per 24 hours.

First, we need to convert the child's weight from pounds to kilograms:

99 lbs / 2.205 = 44.9 kg

Next, we calculate the recommended dose for this weight:

40 mg/kg/24h x 44.9 kg = 1796 mg/24h

Since the recommended dose is divided into four equal doses, each dose should be:

1796 mg/24h ÷ 4 doses = 449 mg/dose

However, the physician ordered 400 mg every 6 hours, which is not the same as 449 mg every 6 hours. To calculate the actual dose per kilogram per 24 hours, we need to convert the ordered dose to the recommended dose:

400 mg/dose x 4 doses = 1600 mg/24h

Then, we divide the actual dose by the child's weight in kilograms:

1600 mg/24h ÷ 44.9 kg = 35.6 mg/kg/24h

Therefore, the patient is receiving 35.6 mg/kg/24h, which is slightly lower than the recommended dose of 40 mg/kg/24h.

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After answering the provided question, we can conclude that " Congruent means having the same shape and size, but this is unnecessary because the polygon is already defined as regular.

A polygon is a two-dimensional making change by connecting three or more locations in a closed loop. Polygons encompass triangles, tetrahedral, pentagons, hexagons, and other shapes. Polygons are a basic geometric concept that is used to describe and analyse many real-world shapes and structures, including buildings, layouts, and computer graphics. Polygons are studied for their qualities such as perimeter, area, angles, but also symmetry.

The polygon in the image appears to have equal side lengths and equal angles, indicating that it is equilateral (all sides are equal length), equiangular (all angles are equal measure), and regular (both equilateral and equiangular). As a result, the correct option for fully describing the polygon is "equilateral, equiangular, and regular." Congruent means having the same shape and size, but this is unnecessary because the polygon is already defined as regular.

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The average rate of change of the function in the interval is of:

\(A = -\frac{1}{14(14 + h)}\)

The average rate of change of a function f(x) over an interval [a,b] is given by:

\(A = \frac{f(b) - f(a)}{b - a}\)

In this problem:

Then:

\(f(b) - f(a) = \frac{1}{14 + h} - \frac{1}{14} = \frac{14 - 14 - h}{14(14 + h)} = -\frac{h}{14(14 + h)}\)

\(A = \frac{-\frac{h}{14(14 + h)}}{3 + h - 3} = -\frac{-\frac{h}{14(14 + h)}}{h} = -\frac{1}{14(14 + h)}\)

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Answer:

Step-by-step explanation:

Construct the perpendicular bisector of the segment. Then construct the perpendicular bisector of each of the new segments. The first bisector cuts the segment into two congruent pieces. Constructing the bisector of each of those produces 4 congruent segments.

Answer:

-300

Step-by-step explanation:

Step 1:  Find the amount Elmer's funds decreased after purchasing the rabbits:

Let x represent Elmer's funds.

Since Elmer bought five rabbits for $10 each, he lost $10 5 times.

x - (10 * 5)

x - 50

Thus, Elmer lost (spent) $50 for the 5 rabbits.

Step 2:  Find the amount Elmer's funds decreased after purchasing the  cupboards:

Since Elmer bought four cupboards for $70 each, he lost $70 4 times:

x - (50 + (70 * 4))

x - (50 + 280)

x - 330

Thus, after purchasing the rabbits and cupboards, Elmer lost $330.

Step 3:  Find the amount Elmer's funds increased after finding the twenty-dollar bill:

Since Elmer found a twenty-dollar bill, he gained $20

x - (330 + 20)

x - 310

Step 4:  Find the amount Elmer's funds increased after returning one rabbit:

Since Elmer returned one rabbit, he gained $10:

x - (310 + 10)

x - 300

Thus, Elmer's funds changed totally by -$300.

Putting all the information together, we have:

x - 10 - 10 - 10 - 10 - 10 - 70 - 70 - 70 - 70 + 20 + 10

x - 50 - 280 + 30

x - 330 + 30

x - $300

Answer:

y = 4x + 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 4 and c = 8 , thus

y = 4x + 8 ← equation of line

The equation in slope-intercept form is y = 4x+8

The equation of line is an algebraic form of representing the set of points, which together form a line in a coordinate system.

Given that, a line has a y-intercept of 8 and a slope of 4.

We know that, the general equation of a line is given by, y = mx+c

where m is slope and c is the y intercept,

Here, m = 4 and c = 8

Therefore, the equation can be, y = 4x+8

Hence, The equation in slope-intercept form is y = 4x+8

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Answer:

6

Step-by-step explanation:

the answer is 6

1.  -4, -2, 0, 2... is an arithmetic sequences with a common difference of 2.

2.1/2, 5/8, 3/4, 13/16... is not an arithmetic sequences.

An arithmetic sequence is a list of numbers with a definite pattern. If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence.

The constant difference in all pairs of consecutive or successive numbers in a sequence is called the common difference, denoted by the letter d.

We use the common difference to go from one term to another.

Take the current term and add the common difference to get to the next term, and so on. That is how the terms in the sequence are generated.

The given sequence can only be an arithmetic sequences if they have same common difference

1.

2-0 = 2

0 - (-2) = 2

-2 -(-4) = 2

Thus, the given sequence is an arithmetic sequences with a common difference of 2.

2.

13/16-3/4 = 1/16

3/4 -5/8  = 1/8

5/8 - 1/2 = 1/8

Thus, the given sequence is not an arithmetic sequences.

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Complete question:

Arithmetic Sequences as Linear Functions.

Determine whether each sequence is an arithmetic sequence. Write yes or no.

1. -4, -2, 0, 2, ...

2. 1/2, 5/8, 3/4, 13/16 ...

All the complex numbers on a circle of radius 5 have a modulus of 5, so there are infinite of them.

For a given complex number:

z = a + bi

The modulus is given by:

M = √(a² + b²)

The numbers that have a modulus of 5 are:

5 = √(a² + b²)

We can rewrite that as:

5² = a² + b²

So all the complex numbers in a circle or radius 5 have a modulus of 5, and there are infinite numbers in that circle, so the answer is infinite.

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Firstly, we need to know the speed of the object in order to calculate the distance it traveled. If we have the speed, we can use the formula distance = speed x time to find the total distance traveled during the 10.0-second time interval.

Secondly, if we don't have the speed, we can use the equation of motion: distance = (initial velocity x time) + (1/2 x acceleration x time squared). This equation takes into account the initial velocity of the object as well as any acceleration that occurred during the time interval.

Lastly, if we have information about the velocity and acceleration of the object, we can use the kinematic equations to find the distance traveled. These equations relate the velocity, acceleration, time, and distance of an object in motion.
In conclusion, to find the total distance traveled by an object during a 10.0-second time interval, we need to know the speed, initial velocity and acceleration of the object. Once we have this information, we can use the formulas and equations mentioned above to calculate the distance traveled.

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Answer:

20 23/24 hours

Step-by-step explanation:

5*(3 1/8)+2*(1 3/5)

5*(25/8) + 2*(8/3)

125/8 + 16/3

375/24 + 128/24

=503/24

=20 23/24

Given set of vectors is S = {(1, 2, -2), (2, -1, 3)}. We are supposed to write each vector as a linear combination of the vectors in S.

Now, let's consider vector (1, -1, 7), we have to represent this vector as a linear combination of vectors in S.

Now, let's suppose it can be represented as (1, -1, 7) = a(1, 2, -2) + b(2, -1, 3) for some scalars a and b.So, (1, -1, 7) = a(1, 2, -2) + b(2, -1, 3)

⇒ 1 = a(1) + b(2) --------------- Equation (1)

⇒ -1 = a(2) - b(1) --------------- Equation (2)

⇒ 7 = -2a + 3b --------------- Equation (3)

Solving these equations for a and b, we geta = 3,

b = -2.

So, (1, -1, 7) can be represented as (1, -1, 7) = 3(1, 2, -2) - 2(2, -1, 3).

Thus, the required representation of (1, -1, 7) as a linear combination of the vectors in S is (1, -1, 7) = 3(1, 2, -2) - 2(2, -1, 3).

Therefore, the correct option is A.

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9514 1404 393

Answer:

  both C and D are correct

Step-by-step explanation:

The diagram shows that x is the total of $40 and 20% of $40.

Description A would be represented by the difference of $40 and 20% of $40, not the sum.

Description B would be represented by 20% of $40, not the sum of that and $40.

Both descriptions C and D are properly represented in the diagram.

Therefore , the solution of the given problem of standard deviation comes out to be the CEO is informed that the mean scores for Cities A and B are identical.

Variance is a measure of difference used in statistics. The typical variance here between dataset and the mean is calculated using the multiplier of that figure. By comparing each figure to the mean, it incorporates those data points into its calculations, unlike other measurable measures of variability. Variations may result from internal or external factors and may include unintentional errors, inflated expectations, and changing economic or commercial circumstances.

Here,

It is clear that both offices share a comparable average score from the sentence "The CEO is informed that both City A or City B have the same mean score."

If City A is more reliable than City B, then City A will have a lower standard deviation.

A collection of data's variability or dispersion is measured by the standard deviation. The closer the data points are to the mean, the lower the standard deviation, and the less variable the data are.

So, the appropriate answer is:

The CEO is informed that the mean scores for Cities A and B are identical. However, due to the fact that City A's standard deviation is lower than City B's, City A is more reliable than City B.

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Answer:

A

Step-by-step explanation:

Answer:

The answer is choices C.

Step-by-step explanation:

Let's solve your inequality step-by-step.

2x+8<3x−4

Step 1: Subtract 3x from both sides.

2x+8−3x<3x−4−3x

−x+8<−4

Step 2: Subtract 8 from both sides.

−x+8−8<−4−8

−x<−12

Step 3: Divide both sides by -1.

−x/-1<−12/-1

x>12

For this box and whisker plot, the interquartile range is 2.

A measurement of data variability is called the interquartile range (IQR). It is the range of the middle 50% of the data and is defined as the difference between the third quartile (Q3) and the first quartile (Q1) of the data. The IQR is frequently employed in statistics and data analysis for describing a distribution's spread and contrasting the variability of several datasets. The data dispersion is frequently displayed using box-and-whisker plots.

To find the interquartile range (IQR), we need first to identify the first quartile (Q1) and the third quartile (Q3) of the data.

In this box-and-whisker plot, the box ranges from 2 to 4, which means that the interquartile range (IQR) is the range between Q1 and Q3.

Since the line dividing the box is at 3, we can infer that the median is also at 3.

Thus, the middle 50% of the data is contained within the box, which ranges from Q1=2 to Q3=4.

Therefore, the interquartile range (IQR) is:

IQR = Q3 - Q1

      = 4 - 2

      = 2

Therefore, for this box and whisker plot, the interquartile range is 2.

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The given expression, \(d(n)d(n)d(n)\), represents the duration in seconds for Hailey to run her \(n^{th}\) lap. The specific values provided, 333, 777, 999, correspond to the durations of the 3rd, 7th, and 9th laps, respectively. The values 858585, 999999, and 110110110 are unrelated and do not provide any additional information about lap durations.

The expression \(d(n)d(n)d(n)\) suggests that each lap duration is represented by the function \(d(n)\), where \(n\) denotes the lap number. The specific values given (333, 777, 999) correspond to the 3rd, 7th, and 9th laps, respectively. However, the remaining values (858585, 999999, 110110110) do not appear to have a direct connection to the lap durations or the function \(d(n)\).

Without further information or a specific pattern, it is difficult to interpret the significance of the remaining values. It's important to note that more context or information about the pattern or relationship between the values would be necessary to provide a more detailed explanation or analysis.

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Answer:

a. There is more variability in the prices of kid socks because they have a greater range.

Step-by-step explanation:

A measure of variability is a summary statistic that represents the amount of dispersion in a dataset. Common examples are range, interquartile range (IQR), variance, and standard deviation.

From the histogram

Highest Number of Packs of Adult Socks = 7

Lowest Number of Packs of Adult Socks = 5

Range = 7 - 5 =2

Highest Number of Packs of Kid Socks = 7

Lowest Number of Packs of Kid Socks = 4

Range = 7-4 = 3

We conclude that there is more variability in the prices of kid socks because they have a greater range.

The correct option is A.

Answer:

A: Range

Step-by-step explanation:

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Answer:

height of the wall ] is 48.25ft

Step-by-step explanation:

Given data

Length of ladder= 50ft

Angle= 75°

We want to find the Height of the wall

Applying the SOH CAH TOA

sin ∅= opposite/hypotenus

sin 75= opposite/ 50

0.965= opposite/ 50

opposite=0.965*50

opposite=  48.25ft

Hence the height of the wall ] is 48.25ft

Answer:

Jina will have enough money to buy the bike in 15 weeks

Step-by-step explanation:

y = mx + b

198 = 9x + 63

Subtract 63 from both sides;

135 = 9x

Divide both sides by 9;

x = 15

Answer:

9) 15

10)22

11)25

Step-by-step explanation:

9)

\(area=\frac{bh}{2} \\30=\frac{(2x+1)4}{2} \\\\30=4x+2\\\\28=4x\\x=7\\\)

substitute:

=2x+7

=2(7)+1

=15

10)

\(area=\frac{bh}{2} \\114=\frac{12(3x-2)}{2} \\114=18x-12\\126=18x\\7=x\)

substitute:

=3x-2

=3(7)+1

=22

11)

\(area=h\frac{b1+b2}{2} \\\\69=\frac{4x-2}{2} \\\\69=\frac{24x-12}{2} \\\\69=12x-6\\75=12x\\x=6.25\\\\=4x\\=4(6.25)\\=25\)

The arithmetic mean of the real and imaginary parts of z is approximately 0.8227 + 0.2643i.

Find the value of w²⁰ and then raise it to the 10th power:

w² = (½ + 3/2i)² = ¼ + 3/2i + 9/4 = 5/2 + 3/2i

So, w²⁰ = (w²)¹⁰ = (5/2 + 3/2i)¹⁰

Now, let z equate w²⁰:

z³ = w²⁰

Substitute the expression for w²⁰:

z³ = (5/2 + 3/2i)¹⁰

Find z by taking the cube root from both sides:

z = (5/2 + 3/2i)¹⁰^(⅓)

Using 10^(⅓) = 2.1544 to calculate z:

z = (5/2 + 3/2i)^2.1544

z ≈ 1.6454 + 0.5287i

The arithmetic mean of the real and imaginary parts of z is:

(mean) = (1.6454 + 0.5287i)/2

(mean) ≈ 0.8227 + 0.2643i

Therefore, the arithmetic mean of the real and imaginary parts of z is approximately 0.8227 + 0.2643i.

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Answer:

V(0)=$537,000

b=0.83

t=9

v (9)=100,386.92

Value after 9 years of depreciation at 17% per year

b = 1- r

b = 1 - 17% b = 0.83

Step-by-step explanation:

V (t)=V(0) (b)^t

V (t) future value ?

Vo present value $537,000

b=0.83

T time =9 years

V (9)=537,000×(0.83)^(9)

v (9)=100,386.92

Value after 9 years of depreciation at 17% per year

b = 1- r

b = 1 - 17% b = 0.83

B. 2 and OD. 15 are not possible lengths for the third side of the triangle.

To determine the possible values for the length of the third side of a triangle, we need to consider the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Given that two sides have lengths 6 and 9, we can analyze the possibilities:

6 + 9 > x

x > 15 - The sum of the two known sides is greater than any possible third side.

6 + x > 9

x > 3 - The length of the unknown side must be greater than the difference between the two known sides.

9 + x > 6

x > -3 - Since the length of a side cannot be negative, this inequality is always satisfied.

Based on the analysis, the possible values for the length of the third side are:

A. 7

C. 4

□E. 10

O F. 12

B. 2 and OD. 15 are not possible lengths for the third side of the triangle.

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Answer:

Step-by-step explanation:

Answer:

\(\frac{3-2a}{a^2}\)

Step-by-step explanation:

Before we can subtract the fractions we require them to have a common denominator.

Multiply the numerator/ denominator of \(\frac{2}{a}\) by a , then

\(\frac{3}{a^2}\) - \(\frac{2a}{a^2}\) ← with common denominator a²

Add numerators leaving the denominator

= \(\frac{3-2a}{a^2}\)