A nurse is preparing to administer cefaclor 40 mg/kg/day PO divided in equal doses every 8 hr to a child who weighs 48 lb. Available is cefactor
suspension 375 mg/5 ml. How many mL should the nurse administer per dose? (Round the answer to the nearest tenth. Use a leading zero if it
applies. Do not use a trailing zero.)

Answers

Answer 1

This question is solved by proportions.

Step 1:

A nurse is preparing to administer cefaclor 40 mg/kg/day.

This means that the first step is finding the baby's weight in kg.

The child weighs 48lb. Each lb has 0,453592kg.

So the child weighs 48*0.453592 = 21.7724kg.

Step 2:

Here, we find the daily dose.

For each kg, the baby is administered 40 mg.

Since the baby weighs 21.7724 kg, the daily dose is of 40*21.7724 = 870.896 mg.

Step 3:

Here, we find how many mL in a day.

For 375 mg, 5 mL are administered. How many mL for 870.896 mg?

375 mg - 5 mL

870.896 mg - x mL

Applying cross multiplication:

[tex]375x = 5*870.896[/tex]

[tex]x = \frac{5*870.896}{375}[/tex]

[tex]x = 11.6[/tex]

Step 4:

Here, we find how many mL per dose.

Equal doses every 8 hours, so 24/8 = 3 doses per day.

11.6/3 = 3.9

Thus, the nurse should administer 3.9 mL per dose.

For more on proportional variables, you can check https://brainly.com/question/23536327.

Answer 2

Answer:

x = 3.9 ml  quantity of ml / dose

Step-by-step explanation:

The child weighs 48 lbs.

Then the weigh in kgs is  48 * 0.454 = 21.792 kgs  (since 1000 lbs = 454 kgs)

If the nurse has to prepare doses according to 40 mg/kg/day then for a child of 21.792 kgs it is needed  21.792*40 mg or 871.68 mg/day, and the fact that he or (she) need to take three doses then each dose will be  of

871.68/3 = 290.56 mg

So far we know that each dose should contain 290.56 mg, now we have the cefactor in a suspension wich density is 375 mg/5 ml or 75 mg/ml

Then by rule of three

if              75  mg     ⇒   1 ml

        290.56 mg     ⇒     x (ml)

x = 290.56/75  ( mg*ml)/ mg

x = 3.87 ml round to the nearest tenth

x = 3.9 ml


Related Questions

1. In 2020, the populations of City A and City B were equal. From 2015 to 2020, the population of City A increased by 20% and the population of City B decreased by 10%. If the population of City A was 120,000 in 2015, what is the population of City B in 2015?

2. A chef is preparing a sauce for a steak she offers as a key dish in her menu. To prepare the sauce she needs to prepare a mix with 40% butter, with the rest being egg yolk. In the kitchen right now, she only has a sauce that has 20% butter (rest is egg yolk) and a sauce that has 50% butter (rest is egg yolk) in stock. In what ratio should she mix the 20% sauce with the 50% sauce in order to obtain the 40% sauce that she needs to prepare her famous recipe?

3. A book was on sale for 30% off its original price. If the sale price of the book was $28, what was the original price of the book? (Assuming there is no sales tax)

4. At a retail store, they needed to do surveys of 32 stores which equals 40% of all their stores. How many stores does the retailer have in total?*

Answers

Answer:

180000 people

1 : 2

$40

80 stores

Step-by-step explanation:

1.)

Population in 2020 are equal : Let population =

City A increased by 20% From 120,000 in 2015

(1 + 0.2) * 120,000 = (1.2 * 120,000) = 144,000

Hence, city A = 144,000.

Since, city A and B have equal population ; city B also has a population of 144000 in 2020.

Let population in 2015 = x

(1 - 0.2) * x = 144000

0.8x = 144000

x = 144000/0.8

x = 180,000

2.)

Let proportion of 20% butter = x and proportion of 50% butter = 1 - x

0.2x + 0.5(1 - x) = 0.4

0.2x + 0.5 - 0.5x = 0.4

-0.3x + 0.5 = 0.4

-0.3x = 0.4 - 0.5

-0.3x = - 0.1

x = 0.1/0.3

x = 0.3333

(1-x) = 1 - 0.33333 = 0.6666%

0.3333% of 20% butter

0.6666% of 50% butter

Hence ;

0.3333 : 0.6666

1 : 2

3.)

Let original price of book = x

Discount on sale = 30%

Sale price = $28

Sale price = original price * (1 - discount)

$28 = (1 - 0.3) * x

$28 = 0.7x

x = $28/0.7

x = $40

4.)

Let total number of stores = x

Store surveys needed = 32

40% of total stores = 32 stores

0.4x = 32

x = 32 / 0.4

x = 80

HELP. Need help on this

Answers

Answer:

what are the answers

Step-by-step explanation:

The average monthly salary of a worker is ₹8200. If there are 45 workers in a factory, then total expenditureincurred on expenditure is:​

Answers

Answer: [tex]Rs.3,69,000[/tex]

Step-by-step explanation:

Given

average monthly salary of a worker is [tex]Rs.8200[/tex]

If there are 45 workers in a factory

Total expenditure is calculated by taking the product of Average monthly salary and no of workers in the factory

[tex]\Rightarrow 8200\times 45\\\Rightarrow Rs.3,69,000[/tex]

The table below represents average food costs broken down by meal. If you
were planning a trip, how much should you budget for food costs per day?
Breakfast
Lunch
Dinner
$12.98
$18.95
$26.58
A. $20.00
B. $60.00
C. $80.00
D. $45.00

Answers

By taking the addition of the values in the table and overestimating a little bit, the correct option is B: $60.00

How much should you budget for food costs per day?

Here we have the following table of average costs:

Breakfast  $12.98Lunch        $18.95Dinner       $26.58

Assuming you eat these 3 per day, the total cost in food per day is the sum of all the values in the table.

It gives:

Total cost: $12.98 + $18.95 + $26.58 = $48.51

Notice that these are average costs, so you should budget a little bit over that just in case, then the correct option is $60, which is the first option over the average total cost.

Learn more about additions:

https://brainly.com/question/25421984

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Answer:

45

Step-by-step explanation:

Which expression is equivalent to 27 + 45?

Answers

Answer:

8 x 9

Have a nice day!

write √3 x √6 in the form b√2 where b is an integer

Answers

Answer:

[tex]3 \sqrt{2} [/tex]

Step-by-step explanation:

[tex] \sqrt{(9 \times 2)} [/tex]

Take the square root of 9 out of the square root and leave the 2 in.

Answer:

3[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using the rules of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex] , then

[tex]\sqrt{3}[/tex] × [tex]\sqrt{6}[/tex]

= [tex]\sqrt{3(6)}[/tex]

= [tex]\sqrt{18}[/tex]

= [tex]\sqrt{9(2)}[/tex]

= [tex]\sqrt{9}[/tex] × [tex]\sqrt{2}[/tex]

= 3[tex]\sqrt{2}[/tex]

n
The graph of which function has a minimum located at (4, -3)?
O f(x) = - 5x2 + 4x - 11
f(x) = -2x? + 16x -35
O f(x) = 4x2 - 4x + 5
O f(x) = 2x2 - 16x + 35

Answers

9514 1404 393

Answer:

  (d)   f(x) = 2x^2 - 16x + 35

Step-by-step explanation:

The x-coordinate of the extreme will be found at ...

  x = -b/(2a)

where the function is f(x) = ax²+bx+c.

The extreme will be a minimum when a > 0. (eliminates choices A and B)

The x-coordinates of the extremes are ...

  C: -(-4)/(2(4)) = 1/2

  D: -(-16)/(2(2)) = 4 . . . . . matches the requirement

The appropriate choice is ...

  f(x) = 2x^2 - 16x + 35

35. Graph the following system of equations and find the x-coordinate of the solution.
3x+ 3y=3
Y=-1/2x+2
x=2
x= -2
X = 3
x=0

Answers

9514 1404 393

Answer:

  (b)  x = -2

Step-by-step explanation:

The graph shows the lines intersect at (x, y) = (-2, 3).

The x-coordinate of the solution is x = -2.

CAN SOMEONE PLEASE HELP??????


Maintaining your balance may get harder as you grow older. A study was conducted to see how steady the elderly is on their feet. They had the subjects stand on a force platform and have them react to a noise. The force platform then measured how much they swayed forward and backward, and the data is in table #7.3.10 ("Maintaining balance while," 2013). Do the data show that the elderly sway more than the mean forward sway of younger people, which is 18.125 mm? Test at the 5% level.

Table #7.3.10: Forward/backward Sway (in mm) of Elderly Subjects

19

30

20

19

29

25

21

24

50

Answers

Answer:

Reject H0 and conclude that adults sway more than the mean forward sway for younger people.

Step-by-step explanation:

H0 : μ = 18.125

H0 : μ > 18.125

Sample data: 19 30 20 19 29 25 21 24 50

Sample size, n = 9

Sample mean, xbar = Σx / n = 237 / 9 = 26.333

Sample standard deviation, s = 9.772 (calculator)

The test statistic :

(xbar - μ) ÷ (s/√(n))

T = (26.333 - 18.125) ÷ (9.772/√(9))

T = 8.208 / 3.2573333

T = 2.519 = 2.520

Decison :

Reject H0 ; If Pvalue < α

The Pvalue :

Degree of freedom, df = n - 1 ; df = 9 - 1 = 8

Pvalue(2.520; 8) = 0.0179

Since 0.0179 < 0.05 ; WE reject H0 and conclude that adults sway more than the mean forward sway for younger people.

help me please!! please help!​

Answers

Answer:

1. 7:20hrs round to 7 hours (1 hour =60 minuite, and 20 is less than half of 60)

2. All numbers when divide by 1 is equal to itself (you can try with any number)

3. 9365<9635

the the second digit of 9635 is 6

the the second digit of 9365 is 3

Thus 9635 is greater

Brainliest please~

A drink bottler needs to fill 16 one-pint bottles and he has two tanks: one that contains 2 gallons of soda and a second that contains 3 gallons which will he need to fill the bottles?

Answers

Answer:

2 Gallons of Soda

Step-by-step explanation:

that is the answer above

A mountain path is 12.1 miles long. If a hiker walks along the path at a rate of 1.96 miles per hour, in approximate how many hours will the hiker walks the entire trail ?

Answers

Answer:

6.2 hours

Step-by-step explanation:

d=rt  where d is distance, r = rate and t - time

12.1 = 1.96t

Divide each side by 1.96

12.1/1.96 = 1.96t/1.96

6.17346 = t

Answer: 6.2 hours

Step-by-step explanation: I divided 12.1 by 1.96

Please help me thank you

Answers

9514 1404 393

Answer:

y = 32.1x +779.91165 cases in 2010

Step-by-step explanation:

A suitable statistics calculator can tell you the coefficients of the linear regression equation. In the attached, we put the given x- and y-values into a table and asked for the best fit equation. Rounded to tenths, the equation is ...

  y = 32.1x +779.9

The year 2010 is 12 years after 1998, so we can find the desired projection using x=12.

  y = 32.1×12 +779.9 = 385.2 +779.9 = 1165.1

The number of cases is projected to be 1165 in 2010.

_____

We wonder if using the button "Open Statistics Calculator" will let you solve this question yourself.

a. A simple random sample of size 80 has a mean of 7.31. The population standard deviation is 6.26. Construct a 99% confidence interval for the population mean

Answers

Answer:

5.503484≤x≤9.116516

Step-by-step explanation:

The formula for calculating the CI is expressed as;

CI = x±z*s/√n

x is the mean= 7.31

z is the 99% z-score = 2.58

s is the standard deviation = 6.26

n is the sample size = 80

Substitute into the formula

CI = 7.31± 2.58*6.26/√80

CI = 7.31± 2.58*6.26/8.94

CI = 7.31± (2.58*0.7002)

CI = 7.31±1.806516

CI = (7.31-1.806516, 7.31+1.806516)

CI = (5.503484, 9.116516)

Hence the 99% confidence interval for the population mean is

5.503484≤x≤9.116516

A pair of fair dice are rolled. Find the probability of rolling a sum that is a multiple of 3 or a multiple of 4.

Answers

Answer:

0.5555 = 55.55% probability of rolling a sum that is a multiple of 3 or a multiple of 4.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Possible outcomes:

For the pair of dice:

(1,1), (1,2), (1,3), (1,4), (1,5), (1,6)

(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)

(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)

(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)

(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)

(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)

So 36 total outcomes.

Desired outcomes:

Sum being multiplies of 3 or multiples of 4, so:

(1,2), (1,3), (1,5)

(2,1), (2,2), (2,4), (2,6)

(3,1), (3,3), (3,5), (3,6)

(4,2), (4,4), (4,5)

(5,1), (5,3), (5,4)

(6,2), (6,3), (6,6)

3 + 4 + 4 + 3 + 3 + 3 = 20

Probability:

[tex]p = \frac{20}{36} = 0.5555[/tex]

0.5555 = 55.55% probability of rolling a sum that is a multiple of 3 or a multiple of 4.

Rectangle QRST with vertices Q(-3,2), R(-1,4), S(2,1), and T(0,-1)) in the x-axis

Answers

Answer:

D

Step-by-step explanation:

The coordinate of the new rectangle after the reflection across will be Q'(-3, -2), R'(-1, -4), S'(2, -1), and T'(0, 1). Then the correct option is D.

What is a transformation of a point?

A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.

The reflection does not change the shape and size of the geometry. But flipped the image.

Rectangle QRST with vertices Q(-3, 2), R(-1, 4), S(2, 1), and T(0, -1).

The coordinate of the new rectangle after the reflection across is given as,

Q' = (-3, -2)

R' = (-1, -4)

S' = (2, -1)

T' = (0, 1)

The coordinate of the new rectangle after the reflection across will be Q'(-3, -2), R'(-1, -4), S'(2, -1), and T'(0, 1). Then the correct option is D.

More about the transformation of a point link is given below.

https://brainly.com/question/27224339

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Please help me solve log3(2x+5)=3

Answers

Answer:

x = -2

Step-by-step explanation:

Divide both sides by 3

3 (2x + 5)/3 = 3/3

Simplify

2x + 5 = 1

Subtract 5 from both sides

2x + 5 - 5 = 1 - 5

Simplify

2x = -4

Divide both sides by 2

2x/2 = -4/2

Simplify: 2x/2

Divide the numbers: 2/2 = 1

= x

Simplify: -4/2

Apply the fraction rule: -1/b = -a/b

= - 4/2

Divide the numbers: 4/2 = 2

= -2

x = -2

Need Help this is due in 30 minutes!

Answers

Answer:

E

Step-by-step explanation:

Since all the numbers are hundredths decimals, let multiply by the power of 2 of the base 10. So let multiply the equation by

[tex]10 {}^{2} [/tex]

So our new equation is

[tex]3 3{x}^{2} + 71x - 14 = 0[/tex]

Solve by AC method

[tex]ac = - 462[/tex]

[tex]b = 71[/tex]

We must think of two numbers that

Multiply to -462 and Add to 71. Set up equation

The numbers are 77 and -6.

So our new equation is

[tex] {33x}^{2} + 77x - 6x - 14 = 0[/tex]

Solve by factoring by grouping

[tex](33 {x}^{2} + 77x) - (6x - 14)[/tex]

Factor out 11 for the first equation

[tex]11x(3x + 7) - 2(3x + 7)[/tex]

So our factors are

[tex](11x - 2)(3x + 7)[/tex]

Set each equal to zero

[tex]11x - 2 = 0[/tex]

[tex]11x = 2[/tex]

[tex]x = \frac{2}{11} [/tex]

[tex]3x + 7 = [/tex]

[tex]3x = - 7[/tex]

[tex]x = \frac{ - 7}{3} [/tex]

A DVD is available at a store for $17.68. The list price of this DVD was 5 18.99. What was the percent discount?​

Answers

Answer:

  6.9%

Step-by-step explanation:

The amount of the discount was ...

  18.99 -17.68 = 1.31

As a percentage of the original price, that is ...

  1.31/18.99 × 100% ≈ 0.06898 × 100% ≈ 6.9%

The discount was about 6.9%.

!!!HELP PLEASE ASAP!!! I don’t know how to solve this problem nor where to start? Can some please help me out and explain how you got the answer please. Thank you for your time.

Answers

Answer:

population standard deviation = 7.68sample standard deviation = 8.87

Pick only one of these values. So if the first one doesn't work, then try the other one. Unfortunately, your teacher isn't clear on which value to go with.

===========================================================

Explanation:

Nice work on getting the mean so far.

To get the standard deviation, we'll use the value 236 in the table. This value is the sum of everything above it. So it's the sum of the [tex](x-\overline{x})^2[/tex] values. We call this the sum of the squared errors. The errors themselves being [tex]x-\overline{x}[/tex]

So we'll divide 236 over n = 4 to get 236/4 = 59

This will get us the population variance. Apply the square root to get [tex]\sqrt{59} \approx 7.68[/tex] which is the population standard deviation.

So if your teacher wants the population standard deviation, then the answer is 7.68

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

If that answer doesn't work, then try this section.

Unfortunately, there are two flavors of standard deviation. The good news is that we don't have to do much work to find the sample standard deviation.

Instead of dividing by n = 4, we'll divide by n-1 = 4-1 = 3.

So 236/3 = 78.667

Since the value is approximate, I'll leave it as a fraction.

This represents the sample variance.

Apply the square root to get the sample standard deviation

[tex]\sqrt{\frac{236}{3}} \approx 8.87[/tex]

and that value is the sample standard deviation.

If the answer in the previous section doesn't work, then the answer must be 8.87

after adjusting the number of servings in a recipe Charlotte determine that she will need 53 tbsp of flour one cup is equivalent to 16T . how much cups of flour will be required​

Answers

Answer:

3.31 cups

Step-by-step explanation:

1/× =16/53

16x = 53

x = 53/16

x = 3.3125

Consider the series ∑n=1∞an where
an=(n+9)n(2n+8)n
In this problem you must attempt to use the Root Test to decide whether the series converges.

Compute
L=limn→∞|an|−−−√n
Enter the numerical value of the limit L if it converges, INF if it diverges to infinity, MINF if it diverges to negative infinity, or DIV if it diverges but not to infinity or negative infinity.
L=


Which of the following statements is true?
A. The Root Test says that the series converges absolutely.
B. The Root Test says that the series diverges.
C. The Root Test says that the series converges conditionally.
D. The Root Test is inconclusive, but the series converges absolutely by another test or tests.
E. The Root Test is inconclusive, but the series diverges by another test or tests.
F. The Root Test is inconclusive, but the series converges conditionally by another test or tests.

Answers

Conducting the root test yields the limit

[tex]\displaystyle\lim_{n\to\infty}\sqrt[n]{\left|\frac{(n+9)^n}{(2n+8)^n}\right|} = \lim_{n\to\infty}\frac{n+9}{2n+8} = \frac12 < 1[/tex]

so the series converges (absolutely).

The diagonal of rectangle ABCD measures 2 inches in
length.
What is the length of line segment AB?
3
1 inch
B
60°
03 inches
04 inches
43 inches
2
30
D

Answers

Answer:

B. √3 inches

Step-by-step explanation:

Apply trigonometry ratio to solve for AB

AB = DC (opposite sides of a rectangle are equal)

Given,

reference angle (θ) = 30°

Hypotenuse = BD = 2

Adjacent = DC = ?

Apply CAH, which is:

Cos θ = Adj/Hyp

Substitute

Cos 30° = DC/2

2*Cos 30° = DC

2*√3/2 = DC (Cos 30° = √3/2)

DC = √3 in.

AB = DC. Therefore,

AB = √3 inches

What is the value of cot ø= 2/3 what is the value of csc ø

Answers

Answer:

Step-by-step explanation:

cotθ = cosθ/sinθ = 2/3

sinθ = 3/√(2²+3²) = 3/√13

cscθ = 1/sinθ = √13/3

find the lcm of 2.5, 1.0 and 70​

Answers

Answer:

Step-by-step explanation:

2.5 = 5 * .5

1 = 1

70 = 2 * 5 *  7

LCM = 2 * 5 * 7

If you include the 1/2, you will reduce the LCM to 35, but 70 will be left out of the LCM.

A biologist is researching a newly discovered species of bacteria. At time t = 0 hours, she puts 100 bacteria into what she has determined to be a favourable growth medium. The population of bacteria doubles every 3 hours. How many bacteria are there in 6 hours? a)200 b)100 c)400 d)600​

Answers

Answer:

I'm sorry but I don't know this one

Given the flag ABCDE, determine the single rule (x,y) that creates the
transformed figure A'B'C'D'E'. Fill in your answer below in the format (x,y)--
>
WILL GIVE BRAINLIEST

Answers

Answer:

(y, -x)

Step-by-step explanation:

Rotation of 90°

(Clockwise)

(x, y)  ---> (y, -x)

Rotation of 90°

(CounterClockwise)

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

Rotation of 180°

(Both Clockwise and Counterclockwise)

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

Rotation of 270°

(Clockwise)

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

Rotation of 270°

(CounterClockwise)

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

Solve the system of equations below using the inverse of matrix

Answers

Answer:

(x, y) = (4,-3)

Step-by-step explanation:

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

.

.

.

.

Any help would be very appreciated ​

Answers

Answer:

21

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp/ adj

tan 60 = x / 7 sqrt(3)

7 sqrt(3)  tan 60 = x

7 sqrt(3) sqrt(3) = x

7*3 = x

21 = x

2^x + 3^y = 9
2^x+1 - 3^y+1=8
find x and y​

Answers

Suppose :

2^x = t ..**&**.. 3^y = u

_____________________________

t + u = 9 × 3 3t + 3u = 27

=====》

2t - 3u = 8 2t - 3u = 8

+ __________

5t = 35

5 × t = 5 × 7

t = 7

&

u = 2

________________________________

Thus :

2^x = 7 ===》 x = Log _ 2 { 7 }

3^y = 2 ===》 y = Log _ 3 { 2 }

Other Questions
(x^2 + 5x + 2) (5x^2 x 2) = "Which sentence contains an underlined word that means "excitement?-No one challenged her authority since she was the expert.-His eagerness and enthusiasm were evident in his work.-They showed the puppy affection by holding and petting it.-The house looked hideous in the picture, but pretty in person. Which quantities below of a solid object on this planet are NOT the same as on Earth? Choose allpossible answers.WeightMassVolumeDensityAcceleration when it falls vertically.Color Select the correct answer.Read the passage.Gina waited with anticipation as her math teacher handed back the recent math test. Eager to see her grade, she grabbed the test the instanther teacher placed it face down on her desk. Quickly turning the test over, she saw that she'd earned a lower score than expected. AlthoughGina was disappointed, she examined her mathematical errors with a positive attitude and encouraged herself to use different studyingstrategies in the future. She felt confident that she would do better next time.How does the last sentence help develop the tone of the passage?OA.The short sentence shows that the tone of the passage is proud.OBThe sentence illustrates a bittersweet tone through two clauses.Oc.The short sentence helps to emphasize the passage's optimistic tone.DThe sentence contributes to a conflicted tone through two clauses. what does it mean learner permit?????? A database speeds up the sharing of scientific knowledge by:A. assembling large amounts of information in a single location.B. forming the lowest part of a structure, building, or pedestal.C. increasing the rate of a chemical reaction when present insolutionD. reducing a complicated idea to a simple mathematical expression.SUBMIT a) explain covalent bond and hydrogen bond with an example of each (4marks)b)state three(s) importance of surface tension and example( 6marks) Una crnica de Bartolom de las Casas (corto) Three persons had dinner in a restaurant. The total bill came to $51.60.The tip left by them was 25% and was divided equally among them. What was the tip per head determine a simplified expression An igneous rock has large red, black, and green crystals How else can this rock be accurately described?fine texturecooled quicklyintrusive origincreated by lava Enter a conjugation of the reflexive verb levantarse to correctly complete the sentence. Tengo una amiga que es muy divertida. Ella a las 5 de la maana todos los das. Complete the sentence below.The expression 52x 169 is equivalent to 13() The rule T 5, -0.5 Ro, 1800(x, ) is applied to FGH toproduce F"G"H". what are the coordinates of vertex F" of F"G"H"? H0: Protype design has at most 37mpg vs. HA: prototype design has greater than 37mpg. If H0 is rejected, the action will be move the protype deisgn to prpduction. What kind of test is required helpppp meeeee outttttt pleaseeeee ASAPPPP!!!! 10. A rectangle whose length is twice its width has a diagonal equal to one side of a given square. The ratio of the area of the rectangle to the area of the square is Does water mess up carbon dating? The two cones below are similar. What is the value of x?A. 0.16B. 0.32C. 0.4D. 0.8 -Realizar un escrito reflexivo minimo de 5 renglones respondiendo las siguientes preguntas Qu es ser afrocolombiano? y teniendo en cuenta que en el articulo 7 de la Constitucin que dice "El estado reconoce y protege la diversidad tnica y cultural de la nacin colombiana" por lo tanto Qu faltaria para mejorar las condiciones de vida de esta poblacin que ha sido victima de racismo y de exclusin social?