When Ibuprofen is given for fever to children 6 months of age up to 2 years, the usual dose is 5
milligrams (mg) per kilogram (kg) of body weight when the fever is under 102.5 degrees Fahrenheit
How much medicine would be usual dose for a 18 month old weighing 23 pounds?
1kg = 2.2 pounds
milligrams
Round your answer to the nearest milligram.

A tessellation is a pattern made by repeating geometric shapes without any gaps or overlaps. These shapes, called tiles or polygons, fit together perfectly to cover a plane or a surface. Tessellations can be found in various forms of art, architecture, and design. They are used to create visually appealing patterns and decorations, as well as to explore mathematical concepts.

Tessellations are utilized in various practical applications, such as tiling floors, walls, and pavements, designing mosaics and quilts, and creating computer graphics and textile patterns. They are also studied in mathematics to understand concepts like symmetry, geometry, and transformations.

For polygons to tessellate, certain conditions must be met at their vertices. At each vertex, the angles formed by the polygons must add up to a whole number of degrees, typically 360 degrees. In other words, the sum of the interior angles of each polygon meeting at a vertex must be a multiple of 360 degrees.

This ensures that the polygons can fit together seamlessly without leaving any gaps or overlaps. Examples of polygons that tessellate include equilateral triangles, squares, and hexagons, as their angles add up to 360 degrees at each vertex.

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Answer:

Please find the attached file of the complete question:

Step-by-step explanation:

Given:

\(Pernod \ 5: n_1= 400\\\\ p_1=\frac{29}{400}=0.0725\\\\Action: \ n_2= 400\\\\ p_2=\frac{38}{400}= 0.095\\\\\)

Calculating the value of the test hypothesis:

\(H_{O} \ :p_1-p_2=0\\\\ \ H_{a}:p_1-p_2 \neq 0\)

 Let \(a=0.02\) is the critical value \(Z(0.01)= -2.33\)

\(H_0\) rejects when\(z <-2.33 \ \ or\ \ z >2.33 .\)

Calculating the Pooled proportion:

\(= \frac{(29+38)}{(400+400)}\\\\ = \frac{(67)}{(800)} \\\\ = 0.08375\\\\=0.084\)

Answer:

None

since the slopes are equal, it's either infinite or none.

since the ratios of Ys and Xs is 1, 18/16 should be 1 to say we have infinite answers. since it's not, the is no solution at all.

Answer:

  (a) none

Step-by-step explanation:

The given equations are the same except for the right-side constant. In order for there to be any solution, the left-side expression would have to have two values simultaneously. It cannot.

__

These equation are described as "inconsistent." There are no solutions.

_____

Additional comment

Subtracting the second equation from the first gives the result ...

  0 = 2 . . . . false

There are no values of the variables x and y that will make this be true.

Answer:

x = 56.31%

Step-by-step explanation:

to find x, use \(tan^{-1}\)

\(tan^{-1}\) x = \(\frac{opposite}{adjacent}\)

\(tan^{-1}\) x = \(\frac{15}{10}\)

\(tan^{-1}\) x = 1.5

x = 56.3099

56.3099 = 56.31

The Solution.

First, we shall convert the given lengths to inches.

Answer:

\( - 2 = k + \frac{7}{3} \\ - 2 \times 3 = k + \frac{7}{3} \times 3 \\ - 6 = k + 7 \\ - 6 - 7 = k + 7 - 7 \\ - 13 = k \\ or \\ k = - 13\)

Answer:

-13/3

Step-by-step explanation:

-2=k+7/3

k=-2-7/3

k=-6/3-7/3

k=-13/3

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The length of the granite must be less than 120 inches. Then the correct option is D.

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.

A rectangular section of granite is being cut so that the length is 3 times the width.

The perimeter of the section must be less than 320 inches.

The perimeter of the rectangle will be given with inequality will be

P > 2(L + W)

We have

L = 3W

Then the inequality equation will be

320 > 2 (L + L/3)

320 > 2 (4L/3)

320 > 8L/3

    L < 120 inches

Then the length of the granite must be less than 120 inches.

Then the correct option is D.

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Answer:

(0,5) (-5,0) (-5,10) (-10,5)

Step-by-step explanation:

Answer:

40(?)

I don't remember exactly if that's correct, but I hope it's right! Comment if you want the explanation

A la sala de cine ingresaron 180 niños y 165 adultos.

De acuerdo con el enunciado, la sala de cine tiene capacidad para 345 espectadores y cobra 3 dólares por cada niño y 5 dólares por cada adulto. Asimismo, esta sala tiene un recaudo diario de 1365 dólares. La situación puede ser sintetizada en la siguiente ecuación algebraica:

3 · x + 5 · (345 - x) = 1365

Donde x es el número de niños que asistieron a la sala de cine.

Ahora despejamos la variable correspondiente mediante propiedades algebraicas:

3 · x + 1725 - 5 · x = 1365

1725 - 2 · x = 1365

2 · x = 1725 - 1365

2 · x = 360

x = 180

Ahora, el número de adultos es:

y = 345 - 180

y = 165

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Answer:

632.83mm²

Step-by-step explanation:

Applying Pythagorean theorem to triangle SOH

SH² = SO² + OH²

SH = \(\sqrt{(15.4)^2+(7.2)^2}=17mm\)

Since the base of the pyramid is a regular pentagon, angle OAH
is 108°/2 = 54°.

AH = 7.2/tan 54° = 5.23mm

So AB = 2AH = 10.46mm

The area of triangle SAB is:

A1 = 1/2 × SH × AB = 1/2 × 17 × 10.46 = 88.91mm²

The area of all triangles is

A2 = 5 × A1 = 5 × 88.91 = 444.55mm²

The area of the base is:

A3 = (perimeter × apothem)/2 = (5 × 10.46 × 7.2)/2 = 188.28mm²

The surface area of the pyramid is:

A2 + A3 = 444.55 + 188.28 = 632.83mm²

Step-by-step explanation:

the surface area is the sum of the base area (pentagon) and the 5 side triangles (we only need to calculate one and then multiply by 5, as they are all equal).

these side triangles are isoceles triangles (the legs are equally long).

the usual area formula for a pentagon is

1/2 × perimeter × apothem

the apothem is the minimum distance from the center of the pentagon to each of its sides.

in our case this is 7.2 mm.

how to get the perimeter or the length of an individual side of the pentagon ?

if the apothem of a pentagon is given, the side length can be calculated with the formula

side length = 2 × apothem length × tan(180/n)

where 'n' is the number of sides (5 in our case). After getting the side length, the perimeter of the pentagon can be calculated with the formula

perimeter = 5 × side length.

so, in our case

side length = 2 × 7.2 × tan(180/5) = 14.4 × tan(36) =

= 10.4622124... mm

perimeter = 5 × 10.4622124... = 52.31106202... mm

area of the pentagon = 1/2 × perimeter × apothem =

= 1/2 × 52.31106202... × 7.2 = 188.3198233... mm²

now for the side triangles.

the area of such a triangle is

1/2 × baseline × height

baseline = pentagon side length

height we get via Pythagoras from the inner pyramid height and the apothem :

height² = 7.2² + 15.4² = 51.84 + 273.16 = 289

height = 17 mm

area of one side triangle =

1/2 × 10.4622124... × 17 = 88.92880543... mm²

all 5 side triangles are then

444.6440271... mm²

and the total surface area is then

444.6440271... + 188.3198233... = 632.9638504... mm²

≈ 632.96 mm²

To accurately determine the amount they would have to buy, we would need the specific measurements of the pool, the desired fence height and any other requirements they have.

To determine how much Gwen and Lisa would have to buy to replace the fence on their pool, we would need more specific information about the pool's dimensions, the type of fence they want, and any other relevant details.

Let's consider some factors that could affect the amount they would need to purchase:

Perimeter of the pool:

The length of the fence required would depend on the perimeter of the pool.

If we know the dimensions of the pool, we can calculate its perimeter by adding up the lengths of all sides.

Fence height:

The height of the fence is another important factor. Depending on local regulations or personal preferences, Gwen and Lisa might need a specific height for their pool fence.

This would determine the length of fencing material they need to purchase.

Fence type and style:

Different types of fences, such as chain-link, wood, vinyl, or wrought iron, have varying costs and installation requirements.

The choice of fence material and style will impact the amount they would have to buy.

Gates and openings:

If Gwen and Lisa require gates or openings in the fence, they would need to account for these as well.

The number and size of gates would affect the total amount of fencing material needed.

With these details, we can calculate the perimeter, account for gates and openings and factor in the material type and style to provide an estimate of the amount of fencing they need to purchase.

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Step-by-step explanation:

this is clearly not a linear sequence (the terms don't have the same difference).

so, it has to be a geometric sequence.

the common ratio is r.

s2 = s1 × r

16 = 64 × r

r = 16/64 = 1/4

control :

s3 = s2×r

4 = 16 × 1/4 = 4

correct.

Common ratio is 1/4

A geometric progression or a geometric sequence is the sequence, in which each term is varied by another by a common ratio. The next term of the sequence is produced when we multiply a constant (which is non-zero) to the preceding term. It is represented by:

a, ar, ar2, ar3, ar4, and so on.

Where a is the first term and r is the common ratio.

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 1/4

gives the next term. In other words, \(a_n=a_1r^n^-^1\)

Hence, common ratio r = 1/4

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Answer:

2.7°C.

Step-by-step explanation:

If it was -7.4°C. at 5 am, then -4.7°C. at 9am, then the temperature rose by 2.7°C.

Proof:

-7.4

-4.7

--------

2.7

If the length of HJ is 7 unit then the length of EI is 14 unit.

A circle is a shape consisting of all points in a plane that are given the same distance from a given point called the center.

We are given a circle with center H.

Therefore, the radius of the circle is found as; HJ

Then the Diameter is the line from one point in the circle to the other point through the center of the circle.

Diameter of the circle = EI

Since we know that One of the theorems of a circle states that the angles in the same segments or on the same chord are equal.

Then the name of the chord is FG.

If the length of HJ is 7 unit then the length of EI is;

EI = 2 HJ

EI = 14 unit.

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Answer:

B) 108

Step-by-step explanation:

180-72=108

Answer:

B) 108

Step-by-step explanation:

the given function is,

h(x) = 1/2x - 3

for domain {-2, 0 , 2 , 10 }

the range will be

for x = -2

h(-2) = 1/2(-2) - 3

= -1 - 3

= -4

for x = 0

h(0) = 1/2(0) - 3

= 0 - 3

= -3

for x = 2

h(2) = 1/2(2) - 3

= 1 -3

= -2

for x = 10

h(10) = 1/2(10) - 3

= 5 - 3

= 2

so the range of the function is

{-4 , -3 , -2 , 2 }......

thus, the correct answer is option C

Answer:  6x² + 12x - 24

Step-by-step explanation:

The area of the rectangle is 6x² + 12x - 24. To find the area, we need to multiply the length and width of the rectangle. Therefore, we can multiply 2x² + 4x - 8 and 3x to get 6x² + 12x - 24.

Answer:

6x³ + 12x² - 24x

Explanation:

Area = Length x Width

Area = (2x² + 4x - 8) x 3x

Simplifying the expression, we get:

Area = 6x³ + 12x² - 24x

Answer:

radius

Step-by-step explanation:

Answer:

Step-by-step explanation:

im not old enough to have a job

Based on the coldest temperature in Buffalo and the difference in the temperature of Chicago, the equation that can be used to find the coldest temperature in Chicago is C. C - 12 = -39; -27°

When temperatures are warmer, it means that they are higher. This means that to find the coldest temperature in Chicago, you need to add 12°F to the temperature of Buffalo.

The formula would therefore be:

C = -39 + 12

Making the Buffalo temperature the subject gives;

C - 12 = -39

The coldest temperature in Chicago is:

= -39 + 12

= -27°F

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Answer:

Step-by-step explanation:

3(-2)-15+2 = -6-15+2 = -21+2 = -19

Answer: -19

Step-by-step explanation:

3(-2)-15+2

Multiply the 3 and -2 because of the parenthesis first:-6-15+2

Next just put the negative numbers together:-21+2

Then just do -21+2=-19

so lets start with making these equations

x + y = 43

x - y = 7

now we can rewrite the second equation in terms of x

x = 7 + y

now we plug that x value back into the first equation

7 + y + y = 43

7 + 2y = 43

2y = 36

y = 18

now we can plug the value of y into the rewritten second equation leaving us with

x = 7 + 18

x = 25

so y = 18 and x = 25

and the difference is 7

please give brainliest!

The binomial factors of x³- 4x²+x+6​ are (x+2), (x+3), and (x-1).

Using the splitting and grouping the terms:

x³ + 4x² + x - 6

= x³ + 2x² + 2x² + x - 6  [Splitting 4x² = 2x² + 2x²]

= (x³ + 2x²) + (2x² + x - 6)

= x² (x + 2) + (2x² + 4x - 3x - 6)

= x² (x + 2) + [ 2x (x + 2) - 3 (x + 2)]

= x² (x + 2) + (x + 2) (2x - 3)

= (x + 2) ( x² + 2x - 3)

= (x + 2) ( x² + 3x - x - 3)

= (x + 2) [x (x + 3) - 1 (x + 3)]

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

Hence, the binomial factors are (x + 2), (x + 3) and (x - 1)

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Answer:

im tired.............

Answer:

  4 cm by 7 cm

Step-by-step explanation:

The relation between length and width can be used with the area formula to find the dimensions of the rectangle.

__

Let x represent the width of the rectangle. Then the length is (3x-5). The area is the product of length and width.

  A = LW

  28 = (3x -5)(x)

In standard form, this is ...

  3x² -5x -28 = 0

__

factor

To factor this equation, we are looking for factors of (3)(-28) = -84 that have a total of -5. The factor pairs of -84 are ...

  -84 = -84×1 = -42×2 = -28×3 = -21×4 = -14×6 = -12×7

Sums of these pairs are -83, -40, -25, -17, -8, -5.

The last pair, -12×7, gives us a clue as to how to factor the equation.

  3x² -5x -28 = (3x -12)(3x +7)/3 = (x -4)(3x +7)

Then the equation we want a solution for is ...

  (x -4)(3x +7) = 0

zero product rule

The only positive value of x that makes either factor zero is ...

  x = 4

And the other dimension is ...

  3x -5 = 3(4) -5 = 7

The rectangle is 5 cm wide and 7 cm long.

Answer:

−25/96

Step-by-step explanation:

Thomas' installment payment that he pays in one fortnight is approximately k523.08.

To calculate Thomas' installment payment, we need to consider the principal amount (k10,000) and the interest rate (36%).

First, let's calculate the total amount to be repaid at the end of the year, including the interest. The interest is calculated as a percentage of the principal amount:

Interest = Principal × Interest Rate

= k10,000 × 0.36

= k3,600

The total amount to be repaid is the sum of the principal and the interest:

Total Amount = Principal + Interest

= k10,000 + k3,600

= k13,600

Now, we need to calculate the number of fortnights in a year. There are 52 weeks in a year, and since each fortnight consists of two weeks, we have:

Number of Fortnights = 52 weeks / 2

= 26 fortnights

To find the installment payment for each fortnight, we divide the total amount by the number of fortnights:

Installment Payment = Total Amount / Number of Fortnights

= k13,600 / 26

≈ k523.08

Therefore, Thomas' installment payment that he pays in one fortnight is approximately k523.08.

It's important to note that this calculation assumes equal installment payments over the course of the year. Different repayment terms or additional fees may affect the actual installment amount. It's always advisable to consult with the bank or financial institution for accurate information regarding loan repayment.

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The Length of the rod is 3/5 meters.

The civil engineer wants to find the length of a rod that stretches for 1 meter and can be given by the function x=2y^(3/2).

To find the length of the rod, we need to integrate the function x=2y^(3/2) with respect to y. Integrating both sides of the equation,

we have:'int dx = int 2y^(3/2) evaluating the left-hand side gives x = 2/5 y^(5/2) + C, where C is the constant of integration. To find the value of C,

we use the given information that the rod stretches for 1 meter. At y = 0, x = 0 since the rod has no length when it is not stretched. At y = 1, x = 1 since the rod stretches for 1 meter.

Therefore, we have:1 = 2/5 (1)^(5/2) + C1 = 2/5 + CC = 3/5 Substituting C = 3/5 back into the equation for x,

we have:x = 2/5 y^(5/2) + 3/5

The length of the rod is given by the value of x when y = 1. Substituting y = 1,

we have:x = 2/5 (1)^(5/2) + 3/5 = 3/5

The length of the rod is 3/5 meters.

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Answer:

I believe the correct answer is option 2

4 + (-9)