the physician orders lanoxin elixir 0.175 mg po q.am for the patient. the pharmacy sends a bottle labeled: lanoxin elixir 0.05 mg/ml. how many milliliters will the nurse administer to the patient? write your answer as a decimal number.

Answers

Answer 1

The nurse should administer 3.5 mL of Lanoxin elixir 0.05 mg/mL to the patient to achieve the desired dose of 0.175 mg.

First, we need to convert the prescribed dose of 0.175 mg to milligrams per milliliter (mg/mL) using the concentration of the Lanoxin elixir, which is 0.05 mg/mL.

To determine how many milliliters of Lanoxin elixir 0.05 mg/mL the nurse should administer to the patient, we need to use a simple formula:

Dose = Desired dose / Stock strength

Where:

Desired dose is 0.175 mg

Stock strength is 0.05 mg/mL

So, substituting the values into the formula:

Dose = 0.175 mg / 0.05 mg/mL

Dose = 3.5 mL

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Related Questions

Can someone help me with this?
I'm not sure how to execute this.
Anything helps! Will give brainliest!

Answers

Answer:

165 centimeters squared.

Step-by-step explanation:

Since we have 2 shapes combined, we need to split them to make 2 rectangles. Now that we have split these two, we can find their individual areas. We know the formula to find area is L * W = A.

So now we do 15 * 7 = 105 to find the area of the shape on the left.

To find the area of the shape on the right, we do 10 * 6 = 60.

Now we add these to get 165 centimeters squared.

Use translations to graph the given function.

Answers

Based on the graph, it looks like the function being graphed is h(x) = √(x+4).

To graph this function using translations, we can start by looking at the graph of the parent function f(x) = √x, which is a basic square root function. The graph of f(x) looks like a half of a parabola, opening up from the origin (0,0), and it includes all points with non-negative x-coordinates.

To graph h(x) = √(x+4), we can start by applying a horizontal shift to the graph of f(x) by replacing x with (x - (-4)) = (x + 4). This will shift the graph of f(x) to the left by 4 units. The resulting function is:

h(x) = √(x+4) = f(x+4)

Next, we can apply a vertical shift of 4 units up, which will move the entire graph of h(x) up by 4 units. The resulting function is:

h(x) = √(x+4) + 4

Using these translations, we can graph h(x) as follows:

Start with the graph of f(x) = √x.

Shift the graph to the left by 4 units by replacing x with (x+4).

Shift the graph up by 4 units by adding 4 to the function.

Plot some points on the resulting graph and connect them with a smooth curve.

The resulting graph should look like the one in the image you provided.

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Help me!!! please show working out

Answers

The polynomial x² + x - 4 = 0 is equivalent to the rational equation [2 · (x + 2) - (x + 1)] / [(x + 1) · (x + 2)] = 1 / 2.

How to find the equivalent polynomial related to rational equation

In this problem we find the definition of a rational equation that must transformed into an equivalent polynomial. This can be done by using algebra properties:

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

First, use subtraction between fractions of different denominators:

[2 · (x + 2) - (x + 1)] / [(x + 1) · (x + 2)] = 1 / 2

(2 · x + 4 - x - 1) / (x² + 3 · x + 2) = 1 / 2

(x + 3) / (x² + 3 · x + 2) = 1 / 2

Second, eliminate the denominator on both sides:

2 · (x + 3) = x² + 3 · x + 2

2 · x + 6 = x² + 3 · x + 2

x² + x - 4 = 0

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val had some pencils. alex gave her three-tenths of a box of pencils. now val has nine-tenths of a box of pencils. what fraction of a box of pencils did val have to begin with?

Answers

Alex gave Val three-tenths of a box of pencils, so she began out with three-fifths of a box.

what is unitary method ?

To answer mathematical issues involving proportional relationships between various quantities, one can utilize the unitary method. In other words, given that two values are related in a constant ratio, it is helpful to determine the value of one if the value of another is known. With the unitary technique, a proportion is established based on how the two quantities relate to one another. The unknown amount can then be determined using the percentage.

given

Let's refer to Val's initial supply of pencils as the unknown portion of the box as x.

The three-tenths of a box of pencils Alex provided Val matched the problem statement. Following Alex's donation, Val had the following number of pencils:

x + 3/10

Val currently possesses nine-tenths of a box of pencils, which is also disclosed. We can therefore construct the following equation:

x + 3/10 = 9/10

By taking 3/10 off of both sides, we get at:

x = 9/10 - 3/10 = 6/10

Val thus started with 6/10 of a box of pencils. When we simplify this fraction, we obtain:

x = 3/5

Alex gave Val three-tenths of a box of pencils, so she began out with three-fifths of a box.

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Answer:

she gave her 3/5

Step-by-step explanation:

Is 8 a reasonable solution to log(-x)=log(x-16)?

A) Yes, 8 is a reasonable solution because 8 is positive and -(8)=(8)-16
B) No, 8 is NOT a reasonable solution because at x=8, the logarithm is not defined.

Answers

The answer is b because it make the most sense

You're playing a game in which the probability of winning each round is. 20.

On average, how many rounds do you have to play to first win?

Answers

Answer: You would probably have to play about 10 rounds.

Consider parallelogram ABCD below. Point E is the intersection of diagonals AC and BD.
Progress: 0/2
Part 1 of 2
4(-2,2)
D(-2,-10)
(a) Find the area of AABE.
cm
2
B (8.2)
C(8.-10)

Answers

234cm is the answer I believe

one thousand dollars is deposited in a savings account where the interest is compounded continuously. after 6 years, the balance will be $1370.55 . when will the balance be $1711.03 ? round to the nearest tenth of a year.

Answers

If the balance will be $1370.55 after 6 years, then The balance will be $1711.03 after approximately 14.3 years.

The formula for calculating the balance in a continuously compounded account is:

[tex]A = Pe^{rt}[/tex]

Where:

A = final balance

P = principal (initial deposit)

e = Euler's number (approximately 2.71828)

r = annual interest rate

t = time in years

We know that the initial deposit is $1000 and the balance after 6 years is $1370.55, so we can use these values to solve for the annual interest rate:

[tex]1370.55 = 1000*e^{6r}[/tex]

⇒ [tex]ln(\frac{1370.55}{1000}) = 6r[/tex]

⇒ [tex]r = \frac{ln(\frac{1370.55}{1000})}{6}[/tex]

⇒ [tex]r = 0.0345[/tex]

Now we can use the same formula to find out when the balance will be $1711.03:

[tex]1711.03 = 1000*e^{(0.0345*t)}[/tex]

⇒ [tex]ln(\frac{1711.03}{1000}) = 0.0345*t[/tex]

⇒ [tex]t = \frac{ln(\frac{1711.03}{1000})}{0.0345}[/tex]

⇒ t = 14.3 years.

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Darius wrote two integers on the chalkboard. The integers she wrote were 256 and -17. How much larger is 256 than -17?

Answers

Answer: 239

Step-by-step explanation:

Darius wrote 2 integers 256 and -17. The question is asking you to solve how much larger is 256 than -17. This means you will subtract 256 by -17 which will give you 239 (256-17). The answer remains positive because 256 is larger

Hope this helps

Answer: They are exactly 273 places away.

Step-by-step explanation:

If a number is larger than another number then you need to subtract it to get the distance. In this case, you look at the subtraction to see how far away they are.

Hope this helps!

Have a blessed day!

how many vectors may be added by the polygon method? are other methods of vector addition limited to the number of vectors that can be added? explain.

Answers

The polygon method of vector addition can be used to add any number of vectors. Other methods of vector addition, however, may be limited to the number of vectors that can be added.

The vector addition method known as the polygon method can be used to add any number of vectors. To use the polygon method, you simply place the vectors head to tail, as if constructing the sides of a polygon. The sum of the vectors is then the vector from the tail of the first vector to the head of the final vector. Polygon method of vector additionIn addition, other methods of vector addition, such as the component method, may have limits on the number of vectors that can be added. When using the component method, for example, vectors are broken down into their x- and y-components.

These components are then added to determine the total x- and y-components of the sum vector. The sum vector is then found by combining the x- and y-components. Because of this, the number of vectors that can be added using the component method may be limited by the ability to calculate the individual x- and y-components.

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The rate of consumption of C3H6 in the following reaction is 0.45 M/s. Calculate the rate of production of H2O. 2 C3H6 + 2 NH3 + 3 O2 rightarrow 2 CH2CHCN + 6 H2O

Answers

Answer:

The rate of production of H2O is 1.35 M/s.

Step-by-step explanation:

To calculate the rate of production of H2O, we need to consider the stoichiometry of the balanced chemical equation:

2 C3H6 + 2 NH3 + 3 O2 → 2 CH2CHCN + 6 H2O

Given the rate of consumption of C3H6 is 0.45 M/s, we can use the mole ratio between C3H6 and H2O to find the rate of production of H2O.

Step 1: Determine the mole ratio of C3H6 to H2O in the balanced equation.

Mole ratio = (moles of H2O produced) / (moles of C3H6 consumed) = 6 / 2 = 3

Step 2: Calculate the rate of production of H2O.

Rate of H2O production = (rate of C3H6 consumption) × (mole ratio) = 0.45 M/s × 3 = 1.35 M/s

So, the rate of production of H2O is 1.35 M/s.

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Prove that 3:8 is equivalent to 12:32

Answers

Answer:

3:8 = 12:32

For easier understanding, we make 3:8 into 3/8 and 12:32 into 12/32

3/8 = 12/32

Cross multiply

3*32 = 8*12

96 = 96

Since the products are equal, the ratios are equivalent.

You can also simplify 12:32

12 / 4 = 3

32 / 4 = 8

A function is shown on the coordinate plane below. For what intervals is the function increasing?

pls hurry

Answers

The function is increasing over the intervals D. -6 < x < -1 and 2 < x < 3 and 4 < x < 6.

When does a function increase?

A function is increasing when the slope of its graph is positive, meaning that its graph is rising from left to right.

In the given coordinate plane, the graph of the function consists of three sections, each of which has an increasing slope.

The first section is from -6 to -1, the second section is from 2 to 3, and the third section is from 4 to 6.

This means that the function is increasing over the intervals -6 < x < -1 and 2 < x < 3 and 4 < x < 6.

To confirm this, we can calculate the slope of the graph in each interval. The slope of the graph between two points (x1,y1) and (x2,y2) is given by (y2-y1)/(x2-x1).

For the first interval, the slope is (3-(-5))/(-1-(-6)) = 8/-5 = -1.6. This is a negative value, which means the graph is decreasing over this interval. For the second interval, the slope is (4-3)/(3-2) = 1/1 = 1. This is a positive value, so the graph is increasing over this interval.

For the third interval, the slope is (6-4)/(4-2) = 2/2 = 1. This is also a positive value, so the graph is increasing over this interval as well.

Therefore, the function is increasing over the intervals -6 < x < -1 and 2 < x < 3 and 4 < x < 6, which is option D.

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HELP ASAP ON TIME LIMIT 50 PNTS

Answers

Answer:

A:1,142 miles.

B; 187.30

C; 4

question sebastian states that experimental and theoretical probabilities are never the same. is sebastian's statement true? why or why not?

Answers

Answer:

Step-by-step explanation:

yes

why is it that you can buy a double cheese burger for 99 cents and you can't even get a head of broccoli for 99 cents

Answers

A double cheeseburger costs less than a head of broccoli due to lower ingredient costs, a more efficient manufacturing process and some more reasons which are listed below:


Firstly, cheeseburgers are typically made with cheaper ingredients, such as pre-made patties, processed cheese, and pre-made buns. The manufacturing process is also more streamlined and efficient, which further reduces cost. Additionally, the demand for cheeseburgers is typically higher than that for broccoli, which helps to keep prices low.



On the other hand, broccoli requires more labor to harvest and process. It also requires more storage space, which drives up costs. The demand for broccoli is typically lower than for cheeseburgers, which also keeps prices higher.
Additionally, broccoli is more labor-intensive and requires more storage space, which further drives up its cost.

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Warm up State the theorems and show the steps needed to find the measure of angle a

Answers

Answer:

a=100

Step-by-step explanation:

Which of the following is not a correct comparison among the Z-distribution and all the t-distributions? Group of answer choices
A. They have the same mean.
B. They have the same unusual features.
C. They have the same standard deviation.
D. They have the same shape
E. They have the same shape.

Answers

Among the following, "They have the same unusual features" is not a correct comparison among the Z-distribution and all the t-distributions. Option B is the correct answer.

A z-distribution refers to the normal distribution of a standard set of values for a variable. If a variable has a normal distribution with a mean of 0 and a standard deviation of 1, it is said to follow a standard normal distribution, which is also known as a z-distribution.

A t-distribution is a type of probability distribution that is used in statistical analysis when the sample size is small or the population's standard deviation is unknown. T-distributions are used in a variety of statistical tests, including the t-test and the analysis of variance (ANOVA). T-distributions are a family of distributions that resemble the normal distribution, with the tails stretched to either side, based on the number of degrees of freedom.

In general, the t-distribution is less peaked and has heavier tails than the normal distribution. As the degrees of freedom increase, the t-distribution approaches the normal distribution. Thus, Option B "They have the same unusual features" is not a correct comparison among the Z-distribution and all the t-distributions.

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The diagram shown is two intersecting lines. The measure of <5 is 42°.



Two intersecting lines. Not perpendicular. Angles labeled from far left counterclockwise are labeled 5 then 6 then 7

What is the measure of <7 ? How do you know. Explain your answer in complete sentences.

Suppose the measure of <6 can be represented by(3x-9). What equation can be written to solve for the value of x?

What is the value of x?

Answers

Hence, x has a value of 49 as to find x, we add 9 to both sides and divide the result by 3.

what is angle ?

The distance between two intersecting lines or planes is measured in terms of angles. The amount of rotation required to align one of the lines or planes with the other is usually expressed in terms of degrees. The range of an angle is 0 degrees (i.e., no rotation) to 360 degrees (corresponding to a complete rotation).

given

As angles 5 and 7 are a pair of linear angles, their sum must be 180 degrees. Angle 7 therefore has a measure of 180 - 42 = 138 degrees.

We can use the fact that angles 6 and 7 are vertical angles and have the same measure to find the value of x. As a result, we can set the following phrase to indicate that the measure of angle 6 is equal to angle 7:

3x - 9 = 138

In order to find x, we add 9 to both sides and divide the result by 3:

3x = 147

x = 49

Hence, x has a value of 49 as to find x, we add 9 to both sides and divide the result by 3.

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The tv had a volume 2808 the width measures 24 inches and the height measures 18 inches what is the depth of the tv?

Answers

It is not possible to determine the depth of the TV with the given information. The volume of the TV, which is 2808 cubic inches, can be expressed as:

Volume = Width x Height x Depth

However, since only the values of the width and height are given, we cannot solve for the depth using this equation. We need to know either the depth of the TV or another piece of information, such as the aspect ratio or diagonal size, to solve for the depth.

Elisa has 31 pieces of paper left. She shares the paper equally between herself and her friend, Bella. How much paper does each person get? Between what two whole numbers does the answer lie?

Answers

Answer:

between 15 and 16

Step-by-step explanation:

31÷2=15.5 meaning 15.5 is between 15 and 16

What is the value of letter D on the number line?

Answers

Answer:

What is the value of the letter D on the number line?

Three and twenty-five hundredths

Step-by-step explanation:

You're welcome

which of the following will never be a required condition of a nonparametric test?group of answer choicesdata are interval.data are ordinal.the samples are drawn from normally distributed populations.the populations being compared are identical in spread and shape.

Answers

The condition that will never be required for a nonparametric test is The data are interval. so, the correct option is A).

Nonparametric tests do not assume any specific distribution for the data and do not rely on population parameters such as mean and variance. Therefore, they can be used with data that are nominal, ordinal, or interval, without any assumption about the underlying distribution of the data.

Nonparametric tests rely on the rank ordering of the data rather than their exact values, making them robust to outliers and non-normality.

However, it is important to note that some nonparametric tests may have assumptions about the nature of the data, such as the independence of observations, or the symmetry or continuity of the distribution. These assumptions should be carefully considered before applying a nonparametric test. The correct answer is A).

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____The given question is incomplte, the complete question is given below:

which of the following will never be a required condition of a nonparametric test?group of answer choices

A) data are interval.

B) data are ordinal.

C) the samples are drawn from normally distributed populations.

D) the populations being compared are identical in spread and shape.

a pwr core contains about 50000 fuel rods. if the probability to find one defective fuel rod is 0.1%, what is the probability to find 10 defective cores

Answers

The probability of finding 10 defective cores in a sample of 10 power cores is approximately 0.0000161, or about 0.0016%.

Assuming that each fuel rod is independent of each other and that the probability of finding a defective fuel rod is constant at 0.1%, we can model the number of defective fuel rods in a power core with a binomial distribution. Let X be the number of defective fuel rods in one power core, then X follows a binomial distribution with parameters n = 50000 and p = 0.1/100 = 0.001.

To find the probability of finding 10 defective cores, we can use the binomial distribution again, but with a different set of parameters. Let Y be the number of defective cores in a sample of 10 power cores, then Y follows a binomial distribution with parameters n = 10 and p = P(X ≥ 1), where P(X ≥ 1) is the probability of finding at least one defective fuel rod in one power core. We can find P(X ≥ 1) using the complement rule:

P(X ≥ 1) = 1 - P(X = 0)

= 1 - (1 - 0.001)^50000

≈ 0.3935

So, the probability of finding 10 defective cores in a sample of 10 power cores is:

P(Y = 10) = (10 choose 10) * (0.3935)^10 * (1 - 0.3935)^(10 - 10)

≈ 0.0000161

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Complete Question:

a power core contains about 50000 fuel rods. if the probability to find one defective fuel rod is 0.1%, what is the probability to find 10 defective cores.

suppose that the cumulative probability of a company defaulting by years one, two, three and four are 3%, 6.5%, 10%, and 14.5%, respectively. what is the probability of default in the fourth year conditional on no earlier default?

Answers

The probability of default in the fourth year conditional on no earlier default is 14.5%. Option (4).

The probability of default in the fourth year conditional on no earlier default is equal to the probability of default in the fourth year, given that the company did not default in the first three years.

Using the conditional probability formula, we can calculate this probability as follows:

P(Default in Year 4 | No earlier default) = P(Default in Year 4 and No earlier default) / P(No earlier default)

We can calculate the numerator by multiplying the probability of default in the fourth year (14.5%) by the probability of no earlier default, which is the complement of the sum of the probabilities of default in the first three years:

P(Default in Year 4 and No earlier default) = 0.145 x (1 - 0.03 - 0.065 - 0.10) = 0.145 x 0.705 = 0.102

The denominator is simply the probability of no earlier default, which we just calculated:

P(No earlier default) = 1 - 0.03 - 0.065 - 0.10 = 0.705

Now we can substitute these values into the conditional probability formula:

P(Default in Year 4 | No earlier default) = 0.102 / 0.705 = 0.1449, or approximately 14.5%

Therefore, the probability of default in the fourth year conditional on no earlier default is 14.5%.

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Full Question : Suppose that the cumulative probability of a company defaulting by years one, two, three and four are

3%, 6.5%, 10%, 14.5%,

respectively. what is the probability of default in the fourth year conditional on no earlier default?

Solve the following quadratic equations by factoring

Answers

Answer:

x=5 or x=-5

Step-by-step explanation:

[tex]x^{2} -25=0[/tex]

[tex](x-5)(x+5) =0[/tex]

[tex]x=-5 \\x=5[/tex]

which is the greatest, the mean, the mode, or the median of the data set? 11; 11; 12; 12; 12; 12; 13; 15; 17; 21; 21; 21

Answers

In the following question, among the conditions given, The greatest value in the data set is 21, the mean is 13.4, the mode is 12, and the median is 12.


The greatest value is the highest number in the set, 21.
The mean is the average of the set, and is calculated by adding all the numbers together and dividing by the number of values, which in this case is 11.  11 + 11 + 12 + 12 + 12 + 12 + 13 + 15 + 17 + 21 + 21 + 21 = 163, and 163 / 11 = 13.4.
The mode is the number that appears the most often, which is 12 in this set.
The median is the middle number when all the numbers are put in order from least to greatest, which is also 12 in this set.

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in how many ways can 4 children be arranged on a 4-animal merry go round if andy is seated on the giraffe

Answers

There are 6 possible arrangements of four children on a 4-animal merry-go-round if Andy is seated on the giraffe.

If Andy is seated on the giraffe in a 4-animal merry-go-round, the arrangement of four children on the merry-go-round can be determined as follows:

Since Andy is already seated on the giraffe, only three children are left to be seated on three other animals. The first child can be seated on any of the three remaining animals. The second child can be seated on either of the two remaining animals since one has already been occupied.

Finally, the third child can be seated on the only remaining animal. Therefore, there are three options for the first child, two options for the second child, and one option for the third child, resulting in 3*2*1 = 6 possible arrangements of four children on a 4-animal merry-go-round if Andy is seated on the giraffe.Answer:6.

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if you consume seven 28.35-gram (one-ounce) bars this week from a brand at the mean contamination level, what is the probability that you consume one or more insect fragments in more than one bar?

Answers

The probability of consuming at least one insect fragment in more than one bar is 0.3011.

Given that you consumed seven 28.35-gram (one-ounce) bars this week from a brand at the mean contamination level. The probability of finding one or more insect fragments in a 28.35-gram chocolate bar that is produced with the mean level of contamination is 0.4875.

The probability that you consume one or more insect fragments in a single bar is 0.4875The probability that you will not consume an insect fragment in a single bar is 0.5125

The probability that you will not consume an insect fragment in any of the seven bars is 0.5125⁷ = 0.0236The probability that you consume one or more insect fragments in more than one bar is 1 - 0.0236 = 0.9764The probability that you consume one or more insect fragments in more than one bar is 0.9764.

The probability that you consume one or more insect fragments in more than one bar is 0.3011.

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Rolling-circle replication of plasmids proceeds Choose one: in one direction from a single fixed origin. O in opposite directions from a single fixed origin. in one direction from multiple origin sites. O in opposite directions from multiple origin sites,

Answers

Rolling-circle replication of plasmids proceeds in one direction from a single fixed origin

Explanation:

How does Rolling-circle replication of plasmids proceed?

Rolling-circle replication of plasmids is a replication mechanism in which the replication process moves in one direction from a single fixed origin. Rolling-circle replication is a process that is often seen in circular plasmid DNA. It is a process that begins with an initiator protein, which is responsible for the nicking of a single DNA strand.The initiation point allows the helix to begin unwinding in one direction.

             As the DNA helix unwinds, replication is carried out in a continuous manner, and the helix is wound up behind it. During the replication process, a new strand is synthesized that is attached to the parent strand's 3' end.

                     Rolling-circle replication, on the other hand, is utilized to produce new plasmids that have a single strand, which can then be employed in other cells for the production of proteins or for research purposes.

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Students with severe multiple disabilities are more likely to participate in alternate assessments than statewide standardized assessments.True or False What is the force on a 1 000 kilogram-elevator that is falling freely under the acceleration ofgravity only (9.8m/s)? in a marketing study, 100 consumers were asked to select the best digital music player from the ipod touch, sony walkman, and the zune hd. to summarize the consumer responses with a frequency table, how many classes would the frequency table have? a variation of sunni islam known for its strict teachings and literal interpretation of the koran is known as what 21+41/100 please help A study found that the mean amount of time cars spent in drive-throughs of a certain fast-food restaurant was 137.5 seconds. Assuming drive-through times are normally distributed with a standard deviation of 27 seconds, complete parts below: stephanie's car was crushed by a falling tree in her driveway. which part of her automobile coverage will pay for her claim? A local store charges $1.97 per pound for bananas and $4.49 for a gallon of apple juice what is the cost of 1.5 lb of bananas and 1 gallon of apple juice you have one type of chocolate that sells for $2.50/lb and another type of chocolate that sells for $3.90/lb. you would like to have 8.4 lbs of a chocolate mixture that sells for $3.60/lb. how much of each chocolate will you need to obtain the desired mixture? you need to have $30,000 in 20 years. you can earn an annual interest rate of 3 percent for the first 6 years, 3.6 percent for the next 5 years, and 4.3 percent for the final 9 years. how much do you have to deposit today? In 1981, a couple found a stray kitten whose unusual ears curled up and back from her head. They decided to breed her with their male cat who is homozygous for the allele for normal ears. The first litter of kittens produced two kittens with normal ears and two kittens with curled ears. Subsequent litters with the same parents showed the same ratio of curled ears to normal ears. When curled-ear offspring were mated with other curled-ear offspring, three-fourths of the kittens had curled ears and one-fourth had normal ears. This new trait was determined to be the result of a new and unique mutation in the ear gene of cats, and cats with this trait were named American curl cats.In American curl cats, the allele that produces the ear-curling trait is which?The allele that produces normal ears is which?DominantRecessivePage 120 true or false: it is mandatory for the actual use of a trademark to occur after the patent and trademark office (pto) registers the mark. what is x - 3 = 21? show your wok smith company balance sheet and selected income statement data assets: cash and marketable securities $300,000 accounts receivable 2,215,000 inventories 1,837,500 prepaid expenses 24,000 total current assets $3,286,500 fixed assets 2,700,000 less: accumulated depreciation 1,087,500 net fixed assets $1,612,500 total assets $4,899,000 liabilities: accounts payable $240,000 notes payable 825,000 accrued taxes 42,500 total current liabilities $1,107,000 long-term debt 975,000 owner's equity 2,817,000 total liabilities and owner's equity $4,899,000 net sales (all credit) $6,375,000 less: cost of goods sold 4,312,500 selling and administrative expense 1,387,500 depreciation expense 135,000 interest expense 127,000 earnings before taxes $412,500 income taxes 225,000 net income $187,500 common stock dividends $97,500 change in retained earnings $90,000 based on the information in table 1, the inventory turnover ratio is 2.35 times. 0.43 times. 3.47 times. 0.29 times. in 3 hours, the u.s. can produce 9 bottles of milk. in 7 hours, the u.s. can produce 28 barrels of oil. what is the opportunity cost of producing 1 barrel of oil (in terms of bottles of milk)? round your answer to two decimals. 2. Match the quadratic equation to it's answer. Round to the nearest tenth if necessary.1. 8x+9-3132. 32-25x-43 -1-5x^2= -3214. 3x-755. 2x-3=29a. x=5,-5b. x=8,-8c. X=1.2=-1.2d. x=6.2,-62E. X=4,-4 which corporate report discusses subjects that include environmental, health and safety, philanthropic and other social impacts Answer these question p2 true or false: the fight for indigenous civil rights ended immediately after the civil rights era of the 1960s-1970 Create your own document to write a letter back to MLK, Jr. Update him on Civil Rights in current times. (What is going on currrently, good or bad? Have things progressed or not enough?