1/10x -2/3 - 4/5x - 1/6

First we need to place the j on one side only

So we can move "j" from left to right, doing the opposite operation

We can do the same for -9

We can operate the terms that have j and do the sum to the both sides

Then, to leave

The volume of the medication required, we subtract it from the nebulizer output to find the amount of saline needed.

To determine the amount of saline needed to make the medication last the full hour, we need to calculate the total volume of medication required and subtract it from the volume delivered by the nebulizer.

Given:

- Albuterol dose: 15 mg

- Atrovent dose: 0.5 mg

- Nebulizer output: 10 mL per hour

- Nebulizer flow rate: 4 LPM (liters per minute)

First, we need to convert the nebulizer flow rate to mL per hour:

4 LPM * 60 min = 240 mL per hour

Next, we calculate the total volume of medication required by adding the doses of albuterol and Atrovent:

Total medication volume = 15 mg + 0.5 mg

Now, we need to convert the total medication volume from milligrams to milliliters. To do this, we need to know the concentration of the medication (mg/mL) or the volume of the medication that corresponds to the given dose. Without this information, we cannot convert the dose to volume accurately.

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The solution to the system of equations is x = 1 and y = 1.

To solve the system of equations using substitution, we start by solving one equation for one variable and substituting it into the other equation. Given the system of equations:

1) 4x + 3y = 7

2) 3x + 5y = 8

We can solve equation 1 for x:

4x = 7 - 3y

x = (7 - 3y)/4

Now, substitute this expression for x into equation 2:

3((7 - 3y)/4) + 5y = 8

Simplify the equation:

(21 - 9y)/4 + 5y = 8

Multiply both sides by 4 to eliminate the fraction:

21 - 9y + 20y = 32

Combine like terms:

11y = 11

Divide both sides by 11:

y = 1

Now, substitute the value of y back into equation 1 to solve for x:

4x + 3(1) = 7

4x + 3 = 7

4x = 7 - 3

4x = 4

x = 1

Therefore, the solution to the system of equations is x = 1 and y = 1.

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Answer:

I am not sure

Step-by-step explanation:

I believe if you take and break down what you paid and then it will be easier to figure out the interest

,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

A. To find the approximate number of shoppers who received a free set of earbuds, we can calculate 24% of the total number of shoppers.

24% of 240 shoppers can be found by multiplying 240 by 0.24:

240 * 0.24 = 57.6

Therefore, approximately 57 shoppers received a free set of earbuds.

Approximately 57 shoppers out of the total 240 received a free set of earbuds on opening day at the electronics store.

40 * 0.24 = 57.6

The result is 57.6 shoppers. Since we can't have a fraction of a shopper, we need to round our answer. In this case, we can either round down to 57 or round up to 58. Out of the total 240 shoppers, approximately 57 individuals received a free set of earbuds based on the 24% special offer.

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Answer:

The expression "i 20 1" is not well-defined and requires more context to determine its meaning. It is possible that "i" refers to the imaginary unit, while "20" and "1" could be operands or arguments for a mathematical operation or function. Without knowing the specific operation or function, it is impossible to determine the value of the expression. The list of options provided (1, -1, -i, i) are also not applicable without further information.

Answer:

C' (4,-6)

Step-by-step explanation:

Any point being reflected over the x-axis will undergo the following transformation:

(x, y) --> (x, -y)

(4, 6) --> (4, -6)

The coordinates of C',

C(4,6) → C'(4, -6).

A reflection is a type of transformation that involves flipping a shape, known as the preimage, over a line, known as the line of reflection, to produce a new shape (called the image). You can picture what would happen if you flipped the form over the line in order to graph a reflection.

Given:

Quadrilateral ABCD has coordinates A(-2,0), B(0,4), C(4,6), and D(2,2).

If it is reflected over the x-axis,

The reflection rule:

(x, y) → (x, -y)

The coordinates of C',

C(4,6) → C'(4, -6).

Therefore, the image point of C is C'(4, -6).

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Answer:

3

5

Step-by-step explanation:

897--$/%%%-%%$"$"==$=#

It is not possible to give as the required information is missing.

Z-score formula Z-score formula is used to calculate the number of standard deviations a value is from the mean of a normal distribution. The formula for z-score is: z = (x - μ) / σWhere z is the z-score, x is the raw score, μ is the population mean, and σ is the population standard deviation. The scores on a mathematics exam have a mean of 69 and a standard deviation of 7. find the x-value that corresponds to the z-score.

The formula for calculating the x-value corresponding to a z-score is: x = μ + zσSubstituting the given values in the formula: x = 69 + z(7) To find the x-value corresponding to a particular z-score, we need to know the z-score. Since the z-score is not given, we can't solve the problem. But if we are given a particular z-score, we can substitute that value in the above formula to get the corresponding x-value.

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Answer:

A

Step-by-step explanation:

the rock lands when it reaches height 0.

so, for what t is h(t) = 0 ?

16t² - 100 = 0

16t² = 100

now we pull the square root on both sides (we can ignore the negative solutions, as negative seconds don't make any sense in our scenario)

4t = 10

t = 10/4 = 5/2 = 2.5 seconds

so, A is correct.

The scale factor of dilation can be found by using the formula\((x_0=\frac{kx_1-x_2}{k-1}, y_0=\frac{ky_1-y_2}{k-1})\).

What is dilation?

A dilation is a transformation that creates an image that has the same shape as the original but is larger.

• An enlargement is a dilation that produces a larger image.

• A reduction is a dilation that produces a smaller image.

• A dilation expands or contracts the original figure.

A dilation is a stretch or a shrink in the size and location of a figure or point.

The scale factor in a dilation is the amount by which the figure is stretched or shrunk.

The center of dilation is a reference point used to appropriately scale the dilation of a figure. Given a point on the pre-image, \((x_1, y_1)\)and a corresponding point on the dilated image \((x_2, y_2)\)and the scale factor,

k, the location of the center of dilation, \((x_0,y_0)\) is

\((x_0=\frac{kx_1-x_2}{k-1}, y_0=\frac{ky_1-y_2}{k-1})\)

Hence, the scale factor of dilation can be found by using the formula\((x_0=\frac{kx_1-x_2}{k-1}, y_0=\frac{ky_1-y_2}{k-1})\).

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The common ration between the sum of a certain infinite geometric series is 2. the sum of the squares of all the terms is 3 is ( r,a) = ( 1/7, 12/7)

That means { a/ 1-r} = 2

a^2/1-r^2 = 3

2a/ 1+r = 3

2(2-2r)/ 1+r = 3

4-4r= 3+ 3r

7r + 1

r= 1/7

2a/ 8/7 = 3

7a= 12

a= 12/7

so( r,a) = ( 1/7, 12/7)

What is infinite geometric series?

An infinite geometric series is the sum of an infinite geometric sequence. This series would have no last term. The general form of the infinite geometric series is a1 + a1r + a1r2 + a1r3+…, where a1 is the first term and r is the common ratio.

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The equation in standard form for the circle with diameter endpoints (1,17) and (1,-1) is (x - 1)^2 + (y - 8)^2 = 81.

To write the equation of a circle in standard form, we need to use the formula: (x - h)^2 + (y - k)^2 = r^2 Where (h,k) is the center of the circle and r is the radius.

We can use the midpoint formula to find the center of the circle, which is the midpoint of the diameter: Midpoint = ((x1 + x2)/2 , (y1 + y2)/2) Substituting the given endpoints, we get: Midpoint = ((1 + 1)/2 , (17 + (-1))/2) = (1, 8) So the center of the circle is (1,8).

Now we need to find the radius, which is half the length of the diameter: Length of diameter = sqrt((1-1)^2 + (17-(-1))^2) = sqrt(18^2) = 18 Radius = 18/2 = 9 Substituting the center and radius in the standard form equation, we get: (x - 1)^2 + (y - 8)^2 = 9^2 Simplifying, we get: (x - 1)^2 + (y - 8)^2 = 81

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The closest solution to this total among the available possibilities is 0.68, indicating that the portfolio is likely to surpass its benchmark in three or fewer quarters over the course of a year.

The field of mathematics concerned with probability is known as probability theory. Although there are various distinct interpretations of probability, probability theory approaches the idea rigorously mathematically by articulating it through a set of axioms.

Here,

The probability that the portfolio outperforms its benchmark in three or fewer quarters over the course of a year is the sum of the probabilities of outperforming the benchmark in exactly 0 quarters, 1 quarter, 2 quarters, and 3 quarters.

Since the probability of outperforming the benchmark in any quarter is 0.75, the probability of not outperforming the benchmark in a quarter is 1 - 0.75 = 0.25.

The probability of not outperforming the benchmark in exactly 0 quarters is 0.25⁰ = 1

The probability of not outperforming the benchmark in exactly 1 quarter is 0.25¹= 0.25

The probability of not outperforming the benchmark in exactly 2 quarters is 0.25² = 0.0625

The probability of not outperforming the benchmark in exactly 3 quarters is 0.25³ = 0.015625

So, the probability of outperforming the benchmark in exactly 0 quarters, 1 quarter, 2 quarters, and 3 quarters is 1 - 0.25⁰, 1 - 0.25¹, 1 - 0.25², and 1 - 0.25³, respectively.

The sum of these probabilities is the probability of outperforming the benchmark in three or fewer quarters over the course of a year:

P(outperform in three or fewer quarters) = 1 - 0.25⁰ + 1 - 0.25¹ + 1 - 0.25² + 1 - 0.25³

This expression can be calculated to get an exact answer, but to get the closest answer to the options given, we can round off the intermediate results to 2 decimal places:

P(outperform in three or fewer quarters) = 1 + 0.75 + 0.94 + 0.98

The closest answer to this sum among the options given is 0.68, so the probability that the portfolio outperforms its benchmark in three or fewer quarters over the course of a year is closest to 0.68.

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Answer:

23.2

12

..........................................

To estimate the mean EPA combined city and highway mileage, the automaker conducted EPA mileage tests on a random sample of 35 midsize cars. The sample mean is 24, and the population standard deviation is 1.2. The task is to calculate the 70% confidence interval for the population mean.

To calculate the confidence interval, we can use the formula:

Confidence Interval = Sample Mean ± (Critical Value) * (Standard Deviation / √(Sample Size))

First, we need to determine the critical value associated with a 70% confidence level. The critical value can be found using a standard normal distribution or a t-distribution, depending on the sample size and whether the population standard deviation is known.

Since the sample size is relatively large (n = 35), we can use the standard normal distribution. The critical value for a 70% confidence level corresponds to a z-score of ±1.036.

Next, we calculate the margin of error:

Margin of Error = (Critical Value) * (Standard Deviation / √(Sample Size)) = 1.036 * (1.2 / √35) ≈ 0.380

Finally, we can calculate the lower and upper bounds of the confidence interval:

Lower Bound = Sample Mean - Margin of Error = 24 - 0.380 ≈ 23.62

Upper Bound = Sample Mean + Margin of Error = 24 + 0.380 ≈ 24.38

Therefore, the 70% confidence interval for the mean EPA combined city and highway mileage is approximately 23.62 to 24.38.

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Step-by-step explanation:

\( \underline{ \underline{ \text{Given}}} : \)

\( \underline{ \underline{ \text{To \: find \: }}} : \)

\( \underline{ \underline{ \text{Solution}}} : \)

\( \tt{8 {(a - b)}^{2} + 3b}\)

~Plug the values and then simplify !

⇢ \( \tt{8 {(6 - 3)}^{2} + 3 \times 3}\)

⇢ \( \tt{8 {(3)}^{2} + 9}\)

⇢ \( \tt{8 \times 9 + 9}\)

⇢ \( \tt{72 + 9}\)

⇢ \( \tt{81}\)

\( \red{ \boxed {\boxed{ \text{Our \: final \: answer : \boxed{\tt{81}}}}}}\)

Hope I helped ! ♡

Have a wonderful day / night ! ツ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

see details below

Step-by-step explanation:

a) week 1 :  #10" / (#10"+#12") = 509 / 736 =  69% (to nearest percent)

b) week 2 :  #10" / (#10"+#12") = 766 / 1076 = 383/538 = 71% (to nearest percent)

A).69% for week 1

B)71% for week 2

The value of sin D rounded to the nearest hundredth, if necessary is

What is pythagorean theorem?

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

So in this problem, we have to find the hypotenuse first, since sine is opposite over hypotenuse.

We can do this using the pythagorean theorem (you can search it if you don't know). Or, we can just remember this as one of our pythagorean triplets (9,40,41). The last side will be 41.

We have to find the value of sin(D)

opposite/hypotenuse = 9/41 = 0.2195 which is about 0.22.

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Answer:

6 x y

Step-by-step explanation:

Expanded

Or add y 6 times

y + y + y + y + y + y

Answer:

Step-by-step explanation:

y + y + y + y  + y + y

Hope that helps!

To find the inequality that has -12 in its solution set, we need to solve each option and see which one includes -12.

Let's go through each option:

A) \(\displaystyle\sf x + 6 < -8\)

Subtracting 6 from both sides gives us:

\(\displaystyle\sf x < -14\)

B) \(\displaystyle\sf x + 4 \geq -6x - 3\)

Combining like terms and adding 6x to both sides, we get:

\(\displaystyle\sf 7x + 4 \geq -3\)

Subtracting 4 from both sides, we have:

\(\displaystyle\sf 7x \geq -7\)

Dividing by 7, we obtain:

\(\displaystyle\sf x \geq -1\)

C) \(\displaystyle\sf -6x - 3 > -10\)

Adding 3 to both sides, we get:

\(\displaystyle\sf -6x > -7\)

Dividing by -6 and reversing the inequality sign (remembering to flip it when dividing by a negative number), we have:

\(\displaystyle\sf x < \frac{7}{6}\)

D) \(\displaystyle\sf -10x + 5 \leq -4\)

Subtracting 5 from both sides, we obtain:

\(\displaystyle\sf -10x \leq -9\)

Dividing by -10 and reversing the inequality sign, we have:

\(\displaystyle\sf x \geq \frac{9}{10}\)

After analyzing the solutions for each option, we find that option A) \(\displaystyle\sf x < -14\) is the one that includes -12 in its solution set.

Therefore, the inequality that has -12 in its solution set is \(\displaystyle\sf x < -14\).

Answer: 63

Step-by-step explanation:

tan(B) = 10/5

B = tan^-1 (10/5)

B = 63.43 ≈ 63

Based on the given values, we can compute the expected returns and expected standard deviations for different weightings of the stocks in the portfolio. The results are as follows:

a. When w1 = 1.00, the expected return of the two-stock portfolio is 0.13, and the expected standard deviation is 0.03.

b. When w1 = 0.65, the expected return of the two-stock portfolio is 0.1095, and the expected standard deviation is 0.0214.

c. When w1 = 0.60, the expected return of the two-stock portfolio is 0.104, and the expected standard deviation is 0.0222.

d. When w1 = 0.30, the expected return of the two-stock portfolio is 0.074, and the expected standard deviation is 0.0262.

e. When w1 = 0.10, the expected return of the two-stock portfolio is 0.038, and the expected standard deviation is 0.0324.

To calculate the expected return of the two-stock portfolio, we use the weighted average of the individual expected returns based on the given weights. For example, in part (a), where w1 = 1.00, the expected return is simply equal to E(R1) = 0.13.

To calculate the expected standard deviation of the two-stock portfolio, we use the formula:

σ = √(w1^2 * E(a1)^2 + w2^2 * E(q2)^2 + 2 * w1 * w2 * E(a1) * E(q2) * ρ)

where E(a1) is the expected standard deviation of stock 1, E(q2) is the expected standard deviation of stock 2, and ρ is the correlation coefficient.

Regarding the risk-return graph, without the specific details of the graph options provided, it is not possible to determine which graph is correct for the given weightings and correlation coefficient. The graph would typically depict the risk-return tradeoff for different weightings and correlation coefficients, showing the relationship between expected return and expected standard deviation of the portfolio.

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Number of side of polygon will be 18.

What is polygon?

A plane figure may be a figure that's delineated by a finite variety of line segments connected to create a closed plane figure chain is called polygon.

Main body:

Since the sum of the exterior angles of a polygon is 360° and an angle of the regular polygon is 20°, then 360° / 20° is the number of sides. Let the number of sides be n.

n = 18, an octadecagon.

Measure of Each Interior Angle

If you imagine a regular octadecagon (or any polygon), you will notice that the exterior angle is the supplement of the interior angle.

20° = 180° - I, where I is the interior angle.

[20°] + I = [180° -I] + I

[20° + I] - 20° = [180°] - 20°

I = 160 degrees

Sum of the Interior Angles:

Sum of interior angles is 180° (n - 2). The way I remember this equation is by remembering that the equation contains 180° and the number of sides, and that the sum of interior angles of a triangle is 180°.

=180° (18 - 2)

=180° (16)

=(200 - 20)° (16)

=(3200 - 320)°

=2880°

Sum of the Exterior and Interior angles

360° + 2880° = 3240°

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The length of the movie screen at the local cinema is 37188552  feet.

Let's assume the width of the rectangle movie screen is represented by 'w' feet. According to the given information, the length of the screen is 303030 feet longer than the width. Therefore, the length can be expressed as 'w + 303030' feet.

The perimeter of a rectangle is given by the formula: 2(length + width). In this case, the perimeter of the movie screen is 148148148 feet. We can set up the equation as follows:

2(w + (w + 303030)) = 148148148.

Simplifying the equation, we have:

2(2w + 303030) = 148148148.

4w + 606060 = 148148148.

4w = 147542088.

Dividing both sides by 4, we get:

w = 36885522.

Therefore, the width of the screen is 36885522 feet. Since the length is 303030 feet longer than the width, we can calculate the length as:

Length = Width + 303030 = 36885522 + 303030 = 37188552 feet.

Hence, the length of the movie screen is 37188552  feet.

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When evaluating an exercise, evaluators record their observations in the exercise evaluation guide (eeg). observations that should be recorded include d.) a and b

When analyzing an activity, evaluators record their observations in the Exercise Evaluation Guide (EEG) (EEG). Actual time needed by exercise participants to perform the necessary tasks and resources used are among the observations that should be recorded.

EEGs (Exercise Evaluation Guides) offer a reliable instrument to direct exercise monitoring and data gathering. EEGs list capability aims and crucial tasks that are in line with exercise objectives and core capabilities.

EEGs achieve a number of objectives:

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Answer:

Discrete

Step-by-step explanation:

A set can simply be defined as a list of values. There are many different types of sets, some are intervals, others are enumerated numbers. Often, a set composed of values that are listed is referred to as a discrete set. Discrete sets can be a list of information, or "isolated points". Knowing this information, the most logical answer to fill in the blank is "discrete".

"If a set is made up of isolated points and can be written as a list, it is called a discrete set."

Answer:

11.9

Step-by-step explanation:

Use sin

Sin ratio is opposite over hypotenuse

Sin \(57^{o}\) = \(\frac{10.8}{x}\)

x = \(\frac{10.8}{sin57^{o} }\)

x = 11.9

Answer:

24

Step-by-step explanation:

140 times .25 = 35

140 + 35 = 175

4,200 divided by 175 =

24

jobtestprep

The number of TV bought post-raise for $4,200 is 24 if the store manager decides to raise the TV price by 25% in order to increase the store's profits.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

We have:

A home appliance store has recently seen an increase in TV sales.

The store manager decides to raise the TV price by 25% in order to increase the store's profits.

Original price of TV = $140

Price after increasing:

= 140 + 25% of 140

= $175

The number of TV bought post-raise for $4,200 = 4200/175

= 24

Thus, the number of TV bought post-raise for $4,200 is 24 if the store manager decides to raise the TV price by 25% in order to increase the store's profits.

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