A 2-g antibiotic vial stales "Reconstitute with 8.6 mL of sterile water for a final volume of 10 ml.* What is the concentration of the vial after reconstitution?

A. 2 g/8.6 mL

B. 232.6 mg/mL

C. 0.234 mg/mL

D. 200 mg/mL

Answer:

optionC 8x+3 is the answer...

10x+2=2x-1+length

so length= 8x+3

Answer:

96 ounces

Step-by-step explanation:

It's 96 because you first triple the two which gives you 6 pounds. Then you find amount of ounces in a pound and multiply by the 6. Then you got your answer. Hope this helps!

Answer:

B) \(\displaystyle \frac{9}{12}\)

Step-by-step explanation:

I recall saying that shared indicates division, therefore you have your answer.

I am joyous to assist you at any time.

** \(\displaystyle \frac{3}{4} = \frac{9}{12}\)

(a) Is this an observational study or an experiment?

ans=Observational study – no treatment was imposed

(b) What are the explanatory and response variables?

ans=explanatory – time spent in child care from birth to age 4 response – adult rating of children’s behavior

d) Does this study show that child care causes children to be more aggressive? Explain.

No. Observational studies cannot show cause-and-effect

Researchers=someone whose job is to study a subject carefully, especially in order to discover new information or understand the subject better: She is a leading researcher in the field.

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Answer:

no solutions

Step-by-step explanation:

Subtract the two equations

3x+y=18

-(3x+y=16)

--------------------

0 + 0 = -2

0 does not equal negative 2

This is never true so there are no solutions

Answer:

The number of solutions is 0.

Step-by-step explanation:

The x and y terms are equal. The constants are different. The lines are parallel. No solution.

Based on the information given the gain or loss percent on the whole transaction​ is 2%.

First step is to calculate the profit on the whole transaction

Profit=(8%×8,000)-(4%×8,000)

Profit=640-320

Profit=320

Now let calculate the profit percentage on the whole transaction

Profit percentage=320/(8000+8000)×100

Profit percentage=320/16000×100

Profit percentage=2%

Inconclusion the gain or loss percent on the whole transaction​ is 2%.

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To calculate the amount of the drug that should be administered to the patient, we need to first convert their weight from pounds to kilograms. We can do this by dividing their weight in pounds by 2.205.

This gives us a weight of 45.45 kg. Next, we need to determine the total amount of the drug that should be administered per day. We do this by multiplying the patient's weight in kilograms by the dosage of 15 mg/kg/day. This gives us a total dosage of 681.75 mg per day.

Finally, we need to determine how much drug should be administered each time. This can be done by dividing the total daily dosage by the number of times per day the drug will be administered. This information is not provided in the question, so we will assume that the drug is administered twice per day.

Dividing 681.75 mg by 2 gives us a result of 340.88 mg per dose. Rounding this to the nearest mg gives us a final answer of 341 mg per dose. Therefore, the patient should be administered 341 mg of the drug twice per day.
Hi! To calculate the drug dosage for a patient weighing "ispounds" in kg and administering the appropriate mg of the drug each day, follow these steps:

1. Convert the weight from pounds to kg by dividing "ispounds" by 2.2046 (1 kg = 2.2046 lbs).
2. Multiply the converted weight (in kg) by the recommended dosage of 15 mg/kg.
3. Divide the total daily dosage by the number of times the drug is administered per day (not mentioned in your question, so let's assume it's "x" times a day).
4. Round the answer to the nearest mg.

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Answer:

9600

Step-by-step explanation:

30% can also be written as 0.3 so 0.3×32000 is 9600. 9600 kilobytes have been downloaded so far

This declaration is True.

The anticipated variability or widespread deviation of the means from MANY unique random samples is known Sampling distribution.

The standard deviation of this distribution, i.e. the standard deviation of sample means, is called the standard error. The standard error tells you how accurate the mean of any given sample from that population is likely to be compared to the true population mean.

What is the suggest variance and fashionable deviation of the sampling distribution of the pattern mean?

Since the suggest is 1/N times the sum, the variance of the sampling distribution of the suggest would be 1/N2 instances the variance of the sum, which equals σ2/N. The widespread error of the suggest is the standard deviation of the sampling distribution of the mean.

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The given question is incomplete, complete question is:

The expected variability or standard deviation of the means from MANY different random samples is known as what quantity: a. Sampling variability b. Standard error (panel 51 from slides), itâs also said in the video c. Sampling distribution d. Parameter

Hi, I'm happy to help!

First off, we need to arrange an equation for what is being asked. 15 is 20% of her earnings and we don't know her total earnings.

15=20%×__

We can write this percentage as

15=0.2×__

We then change the equation to do the inverse operation, which is division, this makes it easier to solve.

15÷0.2=__

Now, we solve

15÷0.2=75

She earned $75

I hope this was helpful, keep learning! :D

Answer:

it's grade 2

Step-by-step explanation:

this is because 29-40 is grade 2

Answer:

a grade 2

Step-by-step explanation:

because 29-40 marks is a grade 2 lol.

The area of the concrete slab is  146.3 square centimeters. Option B

From the information given, we have that;

The concrete slab is made up of;

1 rectangle + 2 semicircles(circle)

The formula for calculating the area of a rectangle is expressed as;

Area = lw

Where, l is the length and w is the width of the rectangle

Substitute the values

96/12 = width

Width = 8cm

Note that the width is he diameter of the semicircles

The area of a circle is expressed as;

Area = πr²

But radius = diameter/2 = 8/2 = 4cm

Substitute the value

Area = 3.14 × 16 = 50. 24

Add the areas

Area of the slab = 50. 24 + 96 =146. 24 square centimeters

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Answer:

260

Step-by-step explanation:

By PEMDAS, we know multiplican comes first. 53*5=265. Then, subtract 5 to get 260.

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Answer:

260

Step-by-step explanation:

the rule is to start with multiplication first 53*5=265 then subtract 5

53 × 5-5= 265-5=260

Answer:

10 cm: 38km

Step-by-step explanation:

If They are 38 km apart, we need to find the missing number.

19 x 2 = 38

We need to multiply 5 cm by 2 to get 10

pls mark brainliest I originally had 26 and Cher deleted ALL my answers! :)

Answer:

it's 10 cm

Step-by-step explanation:

My sister is right above

took the test or whatever this is

19 x 2 = 38

5 x 2 = 10

Answer:

see explanation

Step-by-step explanation:

To obtain a term in the sequence add the previous 2 terms, that is

\(a_{n}\) = \(a_{n-1}\) + \(a_{n-2}\) ← in general terms

(a)

Given 1  4  5  9 14

Then the next 2 terms are 9 + 14 = 23 and 23 + 14 = 37

(b)

Given a₄ = 30 and a₅ = 49 , then

a₃ = 49 - 30 = 19

a₂ = 30 - 19 = 11

a₁ = 19 - 11 = 8

Sequence is 8  11  19  30  49 ....

(c)

Given a₂ = x and a₃ = y , then

a₁ = y - x

a₄ = a₃ + a₂ = y + x

a₅ = a₄ + a₃ = y + x + y = 2y + x

The area of the region bounded by

\[y=\frac{7}{(4+x)^2}+\frac{5}{7+x^2},\ y=0,\ x\ge5\]is 0.0188 (rounded to four decimal places).

Here's how to get the solution:

We are asked to find the area of the region bounded by the two curves.

The curves intersect at (5, 0) because x can not be less than 5.

They meet again at the point x ≈ 1.281.

Now, we must find the integrals for both functions in the given range.

We'll call the first function "f (x)" and the second "g (x)."

f(x) = 7 / (4 + x)² + 5 / (7 + x²)

g(x) = 0

The area between the two curves is obtained by finding the integral of the difference of the two functions.

The area is given by:

\[\int_{5}^{1.281} [f(x) - g(x)] dx\]

Since there is no point of intersection beyond x ≈ 1.281, we will use this value for the limit of integration.

Integrating:

\[\begin{aligned} &\int_{5}^{1.281} [f(x) - g(x)] dx \\ =& \int_{5}^{1.281} \left[\frac{7}{(x+4)^2}+\frac{5}{x^2+7}-0\right] dx \\ =& -\left[\frac{7}{4+x}+\sqrt{7}\tan^{-1}\left(\frac{x}{\sqrt{7}}\right)\right]_{5}^{1.281} \\ =& 0.0188. \end{aligned}\]

Thus, the area of the region is 0.0188.

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Answer:

Nine and 35 hundredths of water

Step-by-step explanation:

Answer:

9.35 --->  Nine and thirty-five hundredths

The correct options are Quadrant I, Quadrant II, and the Y-axis.

Point A is located on the coordinate plane, which consists of two perpendicular number lines that intersect at the origin (0,0). The horizontal number line is called the x-axis, and the vertical number line is called the y-axis.

The four regions formed by the x-axis and y-axis are called quadrants. Quadrant I is the upper right region, Quadrant II is the upper left region, Quadrant III is the lower left region, and Quadrant IV is the lower right region.

Since Point A has a positive y-coordinate, we know that it is located above the x-axis. This rules out Quadrants III and IV, which are located below the x-axis.

Furthermore, since we are looking for points with positive y-coordinates, we can eliminate the x-axis, which has a y-coordinate of zero. This also rules out Quadrant II, which is located to the left of the y-axis.

Therefore, Point A could be located in either Quadrant I or Quadrant II, since both of these quadrants are above the x-axis and have positive y-coordinates.

In summary, the possible locations of Point A on the coordinate plane are Quadrant I and Quadrant II.
Point A has a positive y-coordinate, which means it could be located in the following regions on the coordinate plane:

- Quadrant I (positive x and y coordinates)
- Quadrant II (negative x and positive y coordinates)
- Y-axis (x=0 and y is positive)

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The value of the annual interest rate will be 17.28%.

Let's assume the annual interest rate is "r".

Since the interest is compounded quarterly, the interest rate for each quarter can be found by dividing the annual interest rate by 4.

So, the quarterly interest rate (i) can be given by:

i = r/4

Now, let's calculate the interest earned in the first quarter:

Interest in Q₁ = (1250 x i) = (1250 x r/4)

The balance after the first quarter will be:

Balance after Q₁= 1250 + (1250 x r/4) = 1250(1 + r/4)

Similarly, the balance after the second quarter will be:

Balance after Q₂= Balance after Q₁ + Interest in Q₂

= 1250(1 + r/4) + [1250(1 + r/4) x (r/4)]

= 1250(1 + r/4)^2

The balance after the third quarter will be:

Balance after Q₂ = Balance after Q₂+ Interest in Q₃

= 1250(1 + r/4)² + [1250(1 + r/4)² x (r/4)]

= 1250(1 + r/4)³

After 9 months (i.e., 3 quarters), the balance is given as $1406.08. So we have:

1250(1 + r/4)³ = 1406.08

Taking cube root on both sides, we get:

\(1 + \dfrac{r}{4} = (\dfrac{1406.08}{1250)}^{(\frac{1}{3})\)

Simplifying, we get:

1 + r/4 = 1.0432

r/4 = 0.0432

r = 0.1728 or 17.28%

Therefore, the annual interest rate is 17.28%.

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Step-by-step explanation:

2×3=6 I think it's like this

Answer:

this is sure confusing to me

Answer:

2\(m^{5}\)

Step-by-step explanation:

4(4m⁵+2m⁵-5m³+ ... +7m⁵) = 60m⁵- 20m³​

We combine similar terms.

4(13\(m^{5}\) - 5m³ + x) = 60\(m^{5}\) - 20m³

We divided by 4 on both sides.

13\(m^{5}\) - 5m³ + x = 15\(m^{5}\) - 5m³

Move all terms not containing x to the right side of the equation.

x = 2\(m^{5}\)

So, the number fill in the blank is 2\(m^{5}\).

Answer:

289/216

Step-by-step explanation:

add the parentheses first

(2/3+3/4)×(3/6+4/9)=

17/12×17/18

then multiply

17/12×17/18=

286/216

2/3 + 3/4

= 2 × 4/3 × 4 + 3 × 3/4 × 3

= 8/12 + 9/12

= 8 + 9/12

= 17/12

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(3, 4) = 12. In practice, it is enough to find the common denominator by multiplying the denominators: 3 × 4 = 12. In the next intermediate step, the fraction result cannot be further simplified by canceling.

Add: 3/6 + 4/9

= 3 × 3/6 × 3 + 4 × 2/9 × 2

= 9/18 + 8/18

= 9 + 8/18

= 17/18

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(6, 9) = 18. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 6 × 9 = 54. In the next intermediate step, the fraction result cannot be further simplified by canceling.

2 = 17/12 × 17/18

= 17 × 17/12 × 18

= 289/216

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(289, 216) = 1. In the next intermediate step, the fraction result cannot be further simplified by canceling.

\( \frac{289}{216} in \: mixed \: fraction \: is \: 1\frac{73}{216} \)

Therefore, The Coordinates of the THIRD VERTEX is:  ( 5, -3 )

        Calculate the midpoint of the given vertices:

        MidPoint = ( -5 + 5/2,  3 + 3/2 )

        MidPoint = ( 0, 3 )

        Distance = √( -5 -5 )^2 + ( 3 - 3 )^2

        Distance = √( -10 )^2  +  (0)^2

        Distance = √100

        Distance =  10

        Side Length =  10/√3

        Side Length = 10/1.7

        Side Length = 5.88

        Height = √3/2  *  Side Length

        Height  = 1.7/2  *  5.88

        Height  =  5

Since the origin lies inside the triangle, The Third Vertex will have a Positive  X-Coordinate and a Negative Y-Coordinate.

       ( x, y )

        x  =  -5 + x/2

        y   =  3 + y/2

       x  =  5

       y  = -3

        Hence, The Coordinate  of the Third Vertex is:  ( 5, -3 )

I hope this helps!

Answer:

\( { \boxed{ \tt{f(x) = 5 \cos3x \degree}}} \\ { \green{f(x) = f(60) : x = 60}}\\ f(60) = 5 \cos(3 \times 60) \degree \\ f(60) = 5 \cos(180 \degree) \\ but \: \cos(180 \degree) = - 1\\ { \boxed{ \bf{answer : f(60) = - 5}}} \\ \\ { \underline{ \blue{becker \: jnr}}}\)

506.433 minutes elapse before the minute hand next points in the same direction as the hour hand.

Conversion of hours to minute:

As we all know, an hour is made up of sixty minutes, therefore

1 hour=60minutes

Thus, all you need to do to convert time from hours to minutes is to multiply the time in hours by 60 to get the time in minutes.

If you want to convert minute to hours divide the given time in minutes by 60.

The hands line up 11 times every 12 hours, or roughly every 1:05.5 hours; the precise number is 1:05.4545 repeating.

The repetition time is 8:43.6363. When expressed in seconds, the result is 8:43:38.1818 repeating, or 8:43:38 and 2/11.

This is 261 and \(\frac{9}{11}\) degrees, or 261.818 repeated.

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Answer:

(-7,-9) and (7,9)

Step-by-step explanation:7,-9 so we do across the x so you need a graph for this now x goes left so we plot the coordinates in the third box 7,-9 is in the 4 box so after we plotted that you can see it reflects.Now y coordinate since the y line goes up we plot the coordinates on top of the 4 box where our original coordinates stay now it should be 7,9 the y becomes positive which is 9.

This is not a web answer i answered myself took me some time!

The value οf x is 3

A variety οf issues are resοlved by algebraic calculatiοns that treat variables like explicit integers in a single cοmputatiοn. The quadratic fοrmula, fοr instance, can be used tο sοlve any quadratic equatiοn by exchanging the variables in the quadratic fοrmula fοr the numerical values οf the cοefficients in the equatiοn.

A variable in mathematical lοgic is either a symbοl fοr an undefined term οf the theοry (a meta-variable), οr it is a fundamental οbject οf the theοry that is changed withοut cοnsidering any pοtential intuitive meaning.

Given

8x+17 = 41

Sοlving fοr variable 'x'

Add '-17' tο each side.

17 + -17 + 8x = 41 + -17

Or, 8x=24

Divide each side by '8'

Or, x=3

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hope it helped

3(y-1)=2x+2

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

y-1=2x/3+2/3

y=2x/3+2/3+1

y=2x/3+5/3

m=2/3