pls help me and explain as well because I rlly don’t understand this

The amount for one dose of IV vancomycin for this child is 350 mg.

The recommended dosage of IV vancomycin is 40 mg/kg/day divided q6h.

The child weighs 35 kg.

To calculate the amount for one dose, we need to first calculate the total daily dose and then divide it by the number of doses per day.

Total daily dose = 40 mg/kg/day x 35 kg = 1400 mg/day

Since the medication is divided q6h (every 6 hours), there are 4 doses per day.

Amount for one dose = Total daily dose / Number of doses per day

= 1400 mg/day / 4 doses per day

= 350 mg/dose

Therefore, the amount for one dose of IV vancomycin for this child is 350 mg.

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The  probability that the student does not own a trampoline is given by the relation P ( A' ) = 5/12

Given data ,

Let the probability that the student does not own a trampoline be P ( A ' )

Given that there are 14 students who own a trampoline out of 24 students in total, the probability of owning a trampoline is 14/24. Therefore, the probability of not owning a trampoline is:

1 - 14/24 = 10/24 = 5/12

So, the probability that a student chosen at random from Jared's class does not own a trampoline is 5/12

Hence , the probability is 5/12

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Answer:

17/50

Step-by-step explanation:

When the bus is on time 4/5 of the time, it is late 1/5 of the time.

Mason arrives at 9 am when the bus is on time 3/4 of the time, so he doesn't arrive at 9 am 1/4 of the time.

Mason arrives at 9 am when the bus is late 3/10 of the time, so he doesn't arrive at 9 am 7/10 of the time.

The probability for Mason not to arrive at 9 am when the bus is on time is:

4/5 × 1/4 = 1/5

The probability for Mason not to arrive at 9 am when the bus is late is:

1/5 × 7/10 = 7/50

The probability for Mason not to arrive at work by 9 am is:

1/5 + 7/50 = 17/50.

The missing measures in the triangle are given as follows:

m < F = 111.4º, m < D = 28.6º, f = 35.1.

Suppose we have a triangle in which:

The lengths and the sine of the angles are related as follows:

[tex]\frac{\sin{A}}{a} = \frac{\sin{B}}{b} = \frac{\sin{C}}{c}[/tex]

Considering the triangle in this problem, the relation is given as follows:

sin(D)/18 = sin(40º)/24.2.

Hence the measure of angle D is obtained as follows:

sin(D) = 18 x sine of 40 degrees/24.2

sin(D) = 0.4781

m < D = arcsin(0.4781)

m < D = 28.6º.

The sum of the internal angle measures of a triangle is of 180º, hence the measure of angle F is obtained as follows:

m < F + 40 + 28.6 = 180

m < F = 180 - (40 + 28.6)

m < F = 111.4º

Then the length f is obtained as follows:

sin(111.4º)/f = sin(40º)/24.2

f = 24.2 x sine of 111.4 degrees/sine of 40 degrees

f = 35.1.

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The radius of circle M is equal to 3.99 cm.

In Mathematics and Geometry, the area of a sector can be calculated by using the following formula:

Area of sector = θπr²/360

Where:

By substituting the given parameters into the area of a sector formula, we have the following;

Area of sector = θπr²/360

12.36 = 89(3.142/360) × r²

12.36 = 0.7768r²

Radius, r = √15.9114

Radius, r = 3.99 cm.

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Results:

The equivalent pairs are:

A. 5.80; 5+0.08,

C. 6.050; six and five thousandths, and

E. nine and nine-tenths; 9.9

A. 5.80; 5+0.08

The two are equivalent expressions because they both represent the same decimal number. 5.80 can be interpreted as 5 units and 0.80 units, which is the same as 5 units and 0.08 units. So 5.80 is equal to 5+0.08.

C. 6.050; six and five thousandths

The two expressions describe the same decimal number. 6.050 means 6 whole units, 5 hundredths, and 0.005 thousandths, while "six and five thousandths" means the same thing - 6 whole units, 5 hundredths, and 0.005 thousandths.

E. nine and nine tenths; 9.9

They are also equivalent. Nine and nine-tenths mean 9 whole units and 9 tenths, while 9.9 means the same thing - 9 whole units and 9 tenths.

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Answer:

Step-by-step explanation:

The volume of the cylinder is approximately 1026 ft³. The Option B is correct.

To find the volume of a cylinder, we need to use the formula: V = πr² where V = volume, r radius and h = height.

Radius = diameter/2

Radius = 10ft/2

Radius = 5ft

Height of the cylinder, which is 13ft.

Now we can substitute these values into the formula to find the volume:

V = π(5ft)²(13ft)

V = π(25ft²)(13ft)

V = 25π(13ft³)

V ≈ 1025.92ft³

Full question "Find the volume of the cylinder. Diameter is 10ft, Height is 12ft. Answer choices O 1021 ft³ O 1026 ft³ O 4082 ft³ 4084 ft³"

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Answer 7/12

Step-by-step explanation:

Answer:

Step-by-step explanation:

The radius is the length from the center dot to the circle.

They gave you the radius

r=6 1/4 in

Answer:

D

Step-by-step explanation:

First consider a part of the numerator 5 + 3y2. This can be verbally described as "the sum of 5 and 3 times the square of y".

Then, the entire expression in the numerator, (5 + 3y2)3, can be written as "the cube of the sum of 5 and 3 times the square of y".

Next, consider a part of the denominator (4y), which can be verbally described as "the product of 4 and y".

Then, the entire expression in the denominator, (4y)3, can be written as "the cube of the product of 4 and y".

Dividing the two expressions yields the complete expression shown below.

So, the given expression can be interpreted as "the cube of the sum of 5 and 3 times the square of y divided by the cube of the product of 4 and y".

The coordinates of the solution that lies in quadrant I are

In order to graph the solution to the given system of equations on a coordinate plane, we would use an online graphing calculator to plot the given system of equations and then take note of the point of intersection;

x² + 4y² = 100    ......equation 1.

4y - x² = -20  ......equation 2.

In this exercise, we would use an online graphing calculator to plot the given system of equations as shown in the graph attached below.

Based on the graph shown in the image attached below, we can logically deduce that the solution to this system of equations is the point of intersection of the lines on the graph representing each of them, which lies in Quadrant I and it is given by the ordered pair (6, 4).

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I'm assuming you mean "How do I find the value of x such that the arc length of the circle defined by (10x-23) is 106?" So, there are two possible values of x that would give a circle with arc length 106: x ≈ 2.71 and x ≈ 1.89.

To find the value of x such that the arc length of the circle defined by (10x-23) is 106, we can use the formula for the arc length of a circle:

Arc Length = θr

where θ is the central angle in radians, and r is the radius of the circle.

In this case, we know the arc length is 106, and we need to find the value of x such that the radius is defined by (10x-23). Let's call this radius r.

We can rearrange the formula to solve for the radius:

r = Arc Length / θ

We also know that the central angle in radians is equal to the arc length divided by the radius.

So we can write:

θ = Arc Length / r

Substituting in the values we have:

θ = 106 / (10x-23)

Now we can solve for x. We know that the central angle for a full circle is 2π radians, so the central angle for a circle with radius (10x-23) is:

θ = (2π)(10x-23)

Setting this equal to our previous expression for θ, we have:

106 / (10x-23) = (2π)(10x-23)

Solving for x:

106 = (2π)(10x-23)(10x-23)

106 = (2π)(100x^2 - 460x + 529)

53 = π(100x^2 - 460x + 529)

53/π = 100x^2 - 460x + 529

100x^2 - 460x + (529 - 53/π) = 0

We can solve this quadratic equation using the quadratic formula:

x = [460 ± sqrt(460^2 - 4(100)(529 - 53/π))] / (2(100))

x ≈ 2.71 or x ≈ 1.89

Therefore, there are two possible values of x that would give a circle with arc length 106: x ≈ 2.71 or x ≈ 1.89.

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The area of the parallelogram is A = 72 units²

Given data ,

Let the parallelogram be represented as ABCD

Now , the height of the parallelogram is = 12 units

The base of the parallelogram = 6 units

And , area of parallelogram A = base x height

On simplifying , we get

A = 12 x 6

A = 72 units²

Hence , the area is A = units²

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The correct statements about the circle equation are:

Remember that the general circle equation is:

(x - a)² + (y - b)² = R²

Where (a, b) is the center and R is the radius.

Here the given equation is.

x² + y² - 2x - 8 = 0

We can complete squares in x to get:

(x - 1)² - 1 + y² - 8 = 0

(x - 1)² + y² = 9

(x - 1)² + y² = 3

So, the center is (1, 0) and the radius is 3.

The correct statements are:

The radius of the circle is 3 units.

The standard form of the equation is (x – 1)² + y² = 3.

The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

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The skate park is approximately 6.4 miles from the ice cream parlor.

We can use the Pythagorean theorem to find the distance between the skate park and the ice cream parlor.

As per the information, we can see that the distance we're looking for is the hypotenuse of a right triangle with legs of length 4 miles (distance from school to skate park) and 5 miles (distance from school to ice cream parlor).

Using the Pythagorean theorem, we get:

c² = a² + b²

where c is the distance between the skate park and the ice cream parlor, and a and b are the distances from the school to the skate park and ice cream parlor, respectively.

Substituting the values we know, we get:

c² = 4² + 5²

c² = 16 + 25

c² = 41

Taking the square root of both sides, we get:

c = √41

c ≈ 6.4

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The total cost of SE Company's advertising campaign will be $14,436.23.

The first step is to calculate the cost of the half-page ad for one week:

65.5 column inches × $24.55 per column inch = $1604.025

Since the ad will run for nine weeks, the total cost of the campaign is:

$1604.025 × 9 = $14,436.225

Therefore, the total cost of SE Company's advertising campaign will be $14,436.23.

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The area of the given rectangle is 83.6cm²

We know that the area of a rectangle is equal to the product between the dimensions, here we can see that:

b = 11cm

h = 7.6cm

The formula for the area is:

A = b*h

Replacing the values we will get:

A = 11cm*7.6cm = 83.6cm²

that is the area.

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Step-by-step explanation:

Notice how we have 3 relative extrema , this means our equation has a degree of 4.

Notice how at root 1, our graph bounces off the curve.

This means we have a multiplicity of 2 there so one of our roots are

[tex](x - 1) {}^{2} [/tex]

For roots -3, and 4, our graph just passes through the x axis so those are roots with a multiplicity of 1.

[tex](x + 3)[/tex]

[tex](x - 4)[/tex]

So our equation is

[tex]y = (x - 1) {}^{2} (x + 3 )(x - 4)[/tex]

The graph passes through(-1,-2) so let see if we need any constant

[tex] - 2 = a( - 2) {}^{2} (2)( - 5)[/tex]

[tex] - 2 = - 40a[/tex]

[tex] \frac{1}{20} = a[/tex]

So our equation now is

[tex] \frac{1}{20} (x - 1) {}^{2} (x + 3)(x - 4)[/tex]

The equation that best represents the graph is p(x) = (x + 3)(x - 4)(x - 1)²

From the question, we have the following parameters that can be used in our computation:

The graph

On the graph, we have the following properties

So, the base equation of the function is

p(x) = a(x + 3)(x - 4)(x - 1)²

Set a = 1

So, we have

p(x) = (x + 3)(x - 4)(x - 1)²

Hence the function is p(x) = (x + 3)(x - 4)(x - 1)²

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Answer:

Step-by-step explanation:

Les opinions des 450 élèves d'un lycée quant à savoir s'ils soutiennent le candidat A à la présidence du corps étudiant sont présentées ci-dessous. Masquez et mélangez toutes les valeurs. Prenez un échantillon aléatoire de 25 valeurs de la population. Sur la base de cet échantillon, trouvez la proportion de l'échantillon et utilisez cette valeur pour créer un intervalle de confiance à 95 % pour la véritable proportion de la population qui soutient le candidat A, en arrondissant au millième le plus proche.

Échantillon Oui : 19 Échantillon N° : 6 Échantillons : 25

The equation for total cost of buying and shipping the records is

76.4x + 80

We have,

She buys 3 in good condition

So, the cost for 3 good condition

= 3 (10.5x)

= 31.5 x

and, She buys 1 in Fair condition

So, the for 1 fair condition

= 5x

and, She buy 2 new condition then the price is

= 39.9 x

So, the equation for total cost of buying and shipping the records is

= 31.5x + 5x + 39.9x + 8

= 76.4x + 8

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In the words that your describing it, I supposed we are talking about the pythagorean theorem

What is the formula for the theorem?

a^2+b^2= C^2

A being the height

B being the Bottom

C being the slant or hypotenuse

How to Solve?

Well supposed 9 is a and 6 is b

[tex]9^{2}[/tex]+[tex]6^{2}[/tex]=[tex]c^{2}[/tex]

9 squared is 81 and 6 squared is 36

81+36= 117

So, 117=[tex]c^{2}[/tex]

Which means [tex]\sqrt{117}[/tex] is the answer or 10.8

Hope this helped!

The calculated equation for the exponential function is y = 3(2)ˣ

From the question, we have the following parameters that can be used in our computation:

Points = (2, 12) and (3, 24)

By definition, as exponential function is represented as

y = abˣ

Substitute the known values in the above equation, so, we have the following representation

ab² = 12

ab³ = 24

So, we have

b = 2

This means that

a(2)³ = 24

So, we have

a = 3

Recall that

y = abˣ

So, we have

y = 3(2)ˣ

Hence, the equation for the exponential function is y = 3(2)ˣ

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The experimental probability of the spinner landing on green is calculated as follows:

p = Number of times that the number 3 was generated/900 x 100%.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

A green result is obtained when the number on the calculator is of 3, hence the experimental probability of the spinner landing on green is calculated as follows:

p = Number of times that the number 3 was generated/900 x 100%.

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The mean number of bikes sold by the company from January to June was 146.17.

The mean, also called average refers to data set found by adding all numbers in the data set and then dividing by the number of values in the set.

Given data:​ 110 ​ 158 ​ 112 ​ 176 ​ 119 ​ 202

The total number of bikes sold is:

= 110 + 158 + 112 + 176 + 119 + 202

= 877

The number of months (Jan - Jun) = 6

The mean number of bikes sold will be:

= Ef/x

= 877 / 6

= 146.166666667

= 146.17

Full question "The table shows the number of bikes sold by a company from January to June of last year.​

​Find the mean number of bikes sold by the company from January to June.

​January ​February ​March April​ May​ ​June

​ 110 ​ 158 ​ 112 ​ 176 ​ 119 ​ 202"

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The circle with a chord are those that have a line joining two points on the circumferences

Recall that a chord a chord of a circle is a line segment that joins any two points on the circumference of the circle

From question number 1,  the chords are circles 1, 2 and 5.  This is because each of the circles has a line joining two points

2)  From question 2 all the chords intercepted each other.  This is because an intercept is a point where two straight lines meet. or you can say that An intercept in mathematics is a point on the y-axis through which the slope of a line passes

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Answer:

11.72 hours

Step-by-step explanation:

In a continuous exponential growth model, the formula for the size of the population at time t is given by:

N(t) = N₀ * e^(rt)

where N₀ is the initial population size, r is the growth rate parameter, and e is the mathematical constant approximately equal to 2.71828.

To find the time it takes for the population size to double, we can set N(t) equal to 2N₀ and solve for t:

2N₀ = N₀ * e^(rt)

Dividing both sides by N₀:

2 = e^(rt)

Taking the natural logarithm of both sides:

ln(2) = rt * ln(e)

Since ln(e) = 1:

ln(2) = rt

Solving for t:

t = ln(2)/r

Substituting the given growth rate parameter of 5.9% per hour:

t = ln(2)/(0.059) ≈ 11.72 hours

Therefore, it takes approximately 11.72 hours for the size of the population to double.

Check the picture below.

The solution is : The price per unit is $48, when 30 units are demanded.

Here, we have,

Since we have given that

At price of $12 per unit, the number of units demanded = 40 units

At price of $18 per unit, the number of units demanded = 25 units.

So, the coordinates would be

(40,12) and (25,18)

As we know that x- axis denoted the quantity demanded.

y-axis denoted the price per unit.

So, the slope would be

m = -2/5

So, the equation would be

5y + 2x = 140

So, if 30 units are demanded, the price per unit would be

y = $48

Hence, the price per unit is $48, when 30 units are demanded.

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complete question:

Suppose consumers will demand 40 units of a product when the price is $12 per unit and 25 units when the price is $18 each. Find the demand equation assuming that it is linear. Find the price per unit when 30 units are demanded.

Answer:

7120.95^3

Step-by-step explanation:

Using the formula (2/3)πr^3 we get (2/3)π10^3 which equals 2094.4 for the volume of the hemisphere.

The volume for the cylinder would be 5026.55 using the formula of V=πr2h for the volume of a cylinder.

The total volume would amount to 7120.95^3

The largest interior angle of the triangle is the angle A

The side lengths of the triangles are given as

b = 10 cm

a = 14 cm

The other side length is not given

So, we solve the question using the two side lengths

Having said that:

The general rule is that; the higher the side length, the larger the angle

14 cm is greater than 10 cm

This means that the angle A is greater than the angle B

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