Tetracycline is a short acting antibiotic. It discolors developing teeth and so is not normally prescribed for children under 8 or pregnant women. An 11-year -old, 84-lb child is prescribed 35m(g)/(k)g tetracycline per day for 10 days. What is the daily dose of tetracycline that should be administer

Answer:

jes what are they doing to you

Step-by-step explanation:

Answer:

a = 8.5  

Step-by-step explanation:

The area of the trapezoid ABCD in square inches would be = 80in² . That is option B.

The formula that can be used to calculate the area of the trapezium = ½ (a+b) ×h

Where a = line ED = 14

b = line AD = 14+4 = 18

height = area of rectangle / width

= 70/14 = 5in

Therefore the area of trapezium ;

= 1/2 ( 14+18)× 5

= 160/2

= 80in²

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Answer:

see explanation

Step-by-step explanation:

cos F = \(\frac{adjacent}{hypotenuse}\) = \(\frac{FD}{EF}\) = \(\frac{5}{13}\)

sin F = \(\frac{opposite}{hypotenuse}\) = \(\frac{ED}{EF}\) = \(\frac{12}{13}\)

tan F = \(\frac{opposite}{adjacent}\) = \(\frac{ED}{FD}\) = \(\frac{12}{5}\)

answer: they spend $27.92 on goodie bags

the hourly rate is $37.5

they spend $177.92 in total

Answer:

x = -1

y = -3

Step-by-step explanation:

\(\begin{cases}2x+3=y+4\\ 2+y=3x+2\end{cases}\)

\(\Longleftrightarrow \begin{cases}2x-y=1&\left( 1\right) \\ 3x-y=0&(2)\end{cases}\)

(2) - (1) ⇒ (3x - y) - (2x - y) = 0 - 1 ⇒ x = -1

(1) ⇒ 2x - y = 1 ⇒ y = 2x - 1 = 2(-1) - 1 = -3

The equation's answer is x = 7.5. 4x - 1 2 = x + 7.

x = 1 is the answer to the problem 3x + 2 = (2x + 13) 3.

a) To solve the equation 4x - 1 ÷ 2 = x + 7, we need to isolate the variable x. Let's follow the steps:

1: Distribute the division operation to the terms inside the parentheses.

  (4x - 1) ÷ 2 = x + 7

2: Divide both sides of the equation by 2 to isolate (4x - 1) on the left side.

  (4x - 1) ÷ 2 = x + 7

  4x - 1 = 2(x + 7)

3: Distribute 2 to terms inside the parentheses.

  4x - 1 = 2x + 14

4: Subtract 2x from both sides of the equation to isolate the x term on one side.

  4x - 1 - 2x = 2x + 14 - 2x

  2x - 1 = 14

5: Add 1 to both sides of the equation to isolate the x term.

  2x - 1 + 1 = 14 + 1

  2x = 15

6: Divide both sides of the equation by 2 to solve for x.

  (2x) ÷ 2 = 15 ÷ 2

  x = 7.5

Therefore, x = 7.5 is the solution to the equation 4x - 1 ÷ 2 = x + 7. However, note that this answer is not an integer, so it may not be valid for certain contexts.

b) To solve the equation 3x + 2 = (2x + 13) ÷ 3, we can follow these steps:

1: Distribute the division operation to the terms inside the parentheses.

  3x + 2 = (2x + 13) ÷ 3

2: Multiply both sides of the equation by 3 to remove the division operation.

  3(3x + 2) = 3((2x + 13) ÷ 3)

  9x + 6 = 2x + 13

3: Subtract 2x from both sides of the equation to isolate the x term.

  9x + 6 - 2x = 2x + 13 - 2x

  7x + 6 = 13

4: Subtract 6 from both sides of the equation.

  7x + 6 - 6 = 13 - 6

  7x = 7

5: Divide both sides of the equation by 7 to solve for x.

  (7x) ÷ 7 = 7 ÷ 7

  x = 1

Hence, x = 1 is the solution to the equation 3x + 2 = (2x + 13) ÷ 3.

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Hey there!

“Two hundred five million, four hundred thousand six”

205,400,006

Because,

“two hundred five million” is

205,000,000

“Four hundred thousand” is

400,000

“Six” is simplify

6

The equation is:

205,000,000 + 400,000 + 0 + 0 + 6

Which converts to: 205,400,006

Answer: 205,400,006

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

10x+4x-90x-36

14x-90x=36

76x=36

X=36/76

0.47 is the answer

The domain and range are the set of x and values of the function are in the table.

the function as a table,

Input (x) | Output (y)

-3         |        -4

-1          |         2

0         |         0

-3         |         5

2         |         4

What is the domain and range?

The domain and range are fundamental concepts in mathematics that are used to describe the input and output values of a function or relation.

The domain of a function refers to the set of all possible input values, or x-values, for which the function is defined.

The range of a function refers to the set of all possible output values, or y-values.

To find the domain and range of functions and represent them in different formats.

To find the domain and range of a function:

The domain refers to the set of all possible input values (x-values) for the function.

The range refers to the set of all possible output values (y-values) for the function.

To represent the function as a table, you would list the input-output pairs. For example:

Input (x) | Output (y)

-3         |        -4

-1          |         2

0         |         0

-3         |         5

2         |         4

To represent the function as a mapping, you would indicate the correspondence between the input and output values.

For example:

-3     ->   -4

-1     ->     2

0     ->     0

-3    ->     5

2     ->     4

To represent the function as a graph, The x-values would be on the horizontal axis, and the y-values would be on the vertical axis.

The points (-3, -4), (-1, 2), (0, 0), (-3, 5), and (2, 4) would be plotted accordingly.

Hence, The domain and range are the set of x and values of the function are in the table.

the function as a table,

Input (x) | Output (y)

-3         |        -4

-1          |         2

0         |         0

-3         |         5

2         |         4

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The tables that reprsesent a linear function is (d)

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

The table of values

A table of value that is a linear function is a table that has a constant rate

i.e. as x changes, y changes constantly

Using the above as a guide, we have the following:

In table (d) x changes constantly by 1 and y constantly changes by -2

Hence, the table is table (d)

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None of the options provided match the equation of the line passing by the given points.

Given that are two points (-6, 4) and (-2, 2) we need to find the equation of the line passing by these points,

To find the equation of the line passing through the points (-6, 4) and (-2, 2), we can use the point-slope form of a linear equation, which is given by:

y - y₁ = m(x - x₁)

Where (x₁, y₁) represents one of the points on the line, and m represents the slope of the line.

First, let's calculate the slope (m):

m = (y₂ - y₁) / (x₂ - x₁)

Substituting the coordinates of the points (-6, 4) and (-2, 2) into the formula, we get:

m = (2 - 4) / (-2 - (-6))

= -2 / 4

= -1/2

Now that we have the slope (m), we can choose either of the given points and substitute its coordinates into the point-slope form along with the slope:

Using the point (-2, 2):

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

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

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

y = (-1/2)x + 1

Comparing this equation to the given options, we can see that the correct equation is: y = (-1/2)x + 1

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Answer:

35 x^4  - 5x^3

Step-by-step explanation:

5x^3 (7x−1)

Distribute

5x^3 (7x) +5x^3 *(−1)

35 x^3 *x - 5x^3

35 x^4  - 5x^3

Answer:

Answer:

35 x^4  - 5x^3

Step-by-step explanation:

5x^3 (7x−1)

Distribute

5x^3 (7x) +5x^3 *(−1)

35 x^3 *x - 5x^3

35 x^4  - 5x^3

Step-by-step explanation:

The mean of the given data is approximately 39.7.

The mean is the mathematical average of a set of two or more numbers. The arithmetic mean and the geometric mean are two types of mean that can be calculated. The formula for calculating the arithmetic mean is to add up the numbers in a set and divide by the total quantity of numbers in the set.

In the given data set, the mean can be calculated as the sum of all the values divided by the number of entity in the data.

mean = {33.2+38.6+41.9+44.0+42.9+36.2+41.7+39.8+43.5+30.5+39.2} / 12

mean = 119 / 3

mean = 39.7

The mean of the data set is calculated as 39.66666 which is approximately 39.7.

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G) None of the given options.The domain of a function represents the set of all possible values for which the function is defined. In the case of the function f(x) = x + 8, there are no restrictions or limitations on the values of x. We can input any real number into the function and obtain a valid output.

Therefore, the domain of f(x) = x + 8 is all real numbers, which can be represented as x belonging to the set of real numbers (-∞, +∞). In the given options, none of them represents the correct answer, as they all imply some restrictions on the domain. The correct answer is G) None of the given options.

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The midpoint Riemann sum approximation of ∫64x3 1−−−−−√ⅆx using 4 subintervals of equal width is 9980

The midpoint Riemann sum approximation of ∫64x3 1−−−−−√ⅆx using 4 subintervals of equal width is calculated by summing the area of each subinterval under the midpoint of the interval.

The formula for the midpoint Riemann sum is given by:

Sum = (width of interval) * (height of midpoint)

For this problem, since the width of each interval is 16/4 = 4, the midpoint Riemann sum is calculated by:

Sum = 4 * (1 + (16/4)^3 + (32/4)^3 + (48/4)^3)

Substituting the values for each midpoint, we get the following equation:

Sum = 4 * (1 + 4^3 + 8^3 + 12^3)

This simplifies to:

Sum = 4 * (1 + 64 + 512 + 1728)

Therefore, the midpoint Riemann sum approximation of ∫64x3 1−−−−−√ⅆx using 4 subintervals of equal width is:

Sum = 4 * (2495)

Sum = 9980

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Answer:

5579183747482837371828282

The dU/dT at constant P and V is simply nR/P.

According to the ideal gas law, PV = nRT, so we can write P = nRT/V. Using this relationship, we can express the internal energy U as a function of P, V, and T:

U = f(P,V,T) = f(nRT/V, V, T)

To find dU/dP at constant V and T, we can use the chain rule:

dU/dP = (∂U/∂P)V,T + (∂U/∂V)P,T(dP/dP)V,T + (∂U/∂T)P,V(dT/dP)V,T

Since V and T are being held constant, we can simplify the second and third terms to just 0:

dU/dP = (∂U/∂P)V,T

To find (∂U/∂P)V,T, we can differentiate f(nRT/V, V, T) with respect to P, keeping V and T constant:

(∂U/∂P)V,T = (∂f/∂P)nRT/V(-nRT/V²) = -nRT/V²

So, dU/dP at constant V and T is simply -nRT/V².

To find dU/dT at constant P and V, we can again use the chain rule:

dU/dT = (∂U/∂T)P,V + (∂U/∂V)P,T(dV/dT)P,V + (∂U/∂P)V,T(dP/dT)P,V

Since P and V are being held constant, we can simplify the third term to just 0:

dU/dT = (∂U/∂T)P,V + (∂U/∂V)P,T(dV/dT)P,V

To find (∂U/∂T)P,V, we can differentiate f(nRT/V, V, T) with respect to T, keeping P and V constant:

(∂U/∂T)P,V = (∂f/∂T)nRT/V(1) = nR/V

To find (∂U/∂V)P,T, we can differentiate f(nRT/V, V, T) with respect to V, keeping P and T constant:

(∂U/∂V)P,T = (∂f/∂V)nRT/V(-nRT/V²) + (∂f/∂V)V,T = nRT/V² - nRT/V² = 0

Since the ideal gas law shows that PV = nRT, we can write V = nRT/P. Using this relationship, we can simplify the second term of dU/dT to just:

dU/dT = (∂U/∂T)P,V = nR/P

So, dU/dT at constant P and V is simply nR/P.

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a. To find dU/dPv, we need to differentiate U with respect to both P and V while treating T as a constant. Using the chain rule, we have:

dU/dPv = (∂U/∂P)v + (∂U/∂V)p * (dV/dP)v

Since U is a function of P, V, and T, we can express it as U(P,V,T). Using the ideal gas law, we substitute P = nRT/V into U:

U = f(P,V,T) = f(nRT/V, V, T)

Differentiating U with respect to P while treating V and T as constants, we get (∂U/∂P)v = -nRT/V².

Similarly, differentiating U with respect to V while treating P and T as constants, we get (∂U/∂V)p = nRT/V.

Hence, dU/dPv = -nRT/V² + nRT/V * (dV/dP)v.

b. To find dU/dTv, we differentiate U with respect to both T and V while treating P as a constant. Using the chain rule:

dU/dTv = (∂U/∂T)v + (∂U/∂V)t * (dV/dT)v

Differentiating U with respect to T while treating V and P as constants, we get (∂U/∂T)v = (∂f/∂T)v.

Similarly, differentiating U with respect to V while treating T and P as constants, we get (∂U/∂V)t = (∂f/∂V)t.

Hence, dU/dTv = (∂f/∂T)v + (∂f/∂V)t * (dV/dT)v.

Note: The specific form of the function f(P,V,T) is not provided, so we cannot determine the exact values of (∂f/∂T)v, (∂f/∂V)t, and (dV/dT)v without additional information.

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She ran a total distance of 28 miles in 5 hours.

We can solve this problem by using the formula: distance = rate × time

First, we need to calculate the distance traveled during the first 3 hours at 6 mph. Using the formula, we have:

distance = rate × time

distance = 6 mph × 3 hours

distance = 18 miles

Next, we need to calculate the distance traveled during the last 2 hours at 5 mph. Using the same formula, we have:

distance = rate × time

distance = 5 mph × 2 hours

distance = 10 miles

Finally, we can add the distances traveled during the first 3 hours and the last 2 hours to get the total distance:

total distance = 18 miles + 10 miles

total distance = 28 miles

Therefore, the runner ran a total distance of 28 miles in 5 hours.

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It will take 8 seconds for the train to completely pass through the station.

To calculate how long it will take for the train to completely pass through a station, we need to consider the length of the train and the relative speed between the train and the station.

Length of the train (L): 180 m

Speed of the train (v): 50 m/s

Length of the station platform (P): 220 m

To calculate the time it takes for the train to pass completely through the station, we can compare the distance traveled by the train to the combined length of the train and the platform.

The total distance that needs to be covered is the length of the train plus the length of the platform:

Total distance = L + P

The relative speed between the train and the platform is the speed of the train:

Relative speed = v

Time = Distance / Relative speed

Plugging in the values, we have:

Time = (L + P) / v

Time = (180 m + 220 m) / 50 m/s

Time = 400 m / 50 m/s

Time = 8 seconds

Therefore, it will take 8 seconds for the train to completely pass through the station.

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Need help with this question: calculate how long the train will

take to pass completely through a station whose platforms are 220m

in length.

A high-speed train is\(\( 180 \mathrm{~m} \)\) long and is travelling at \(\( 50 \mathrm{~m} / \mathrm{s} \).\)

Answer:

I count 10 triangles.....

Answer:

3

Step-by-step explanation:

t think it's the because everything else is 4 sided

The Colorado hikers are at an altitude of 8753.1694 feet.

Here we have been given the equation T = -1. 83a + 212.

Here, T is the boiling point in Fahrenheit of water, while a is the altitude of the place.

We know that the campers in hiing in Colorado boil water for ea. The water boils at a temperature of 196°F, we need to find the altitude.

Here we are going to clearly take T = 196°F

Substituting the value in the above equation will give us

196 = - 1.83a + 212

Taking the variable to the Right Hand Side will give us

196 + 1.83a = 212

Taking 196 to LHS to separate the constant and variable will give us

1.83a = 212 - 196

Solving LHS gives us

1.83a = 16

Taking 1.83 to the other side will give us

a = 16/1.83

or, a = 8.7431694 thousands feet

= 8753.1694 feet

Hence, the Colorado hikers are at an altitude of 8753.1694 feet.

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The amount that Aaliyah would have to pay in a month where she used 5 GB over the limit is $195.

Cost of data plan per month = $45

Extra amount charged = $30 per GB

The amount that Aaliyah would have to pay in a month where she used 5 GB over the limit will be:

= $45 + $30(5)

= $45 + $150

= $195

The amount that Aaliyah have to pay in a month where she used went over by x GB will be:

= $45 + $30(x)

= $45 + $30x

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Answer:

1/2

Step-by-step explanation:

Or, 8(x-3)+7= 2x(4-17)

Or, 8x-24+7=2x(-13)

Or, 8x-17= -26x

Or, 34x=17

x=1/2

Answer:

13,860

Step-by-step explanation:

List all prime factors for each number.

Prime Factorization of 11 shows:

11 is prime.

Prime Factorization of 35 is:

5 x 7

Prime Factorization of 36 is:

2 x 2 x 3 x 3

For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.

The new superset list is

2, 2, 3, 3, 5, 7, 11

Multiply these factors together to find the LCM.

LCM = 2 x 2 x 3 x 3 x 5 x 7 x 11 = 13860

LCM(11, 35, 36) = 13,860

The probability that exactly 12 out of 22 pitches are strikes is approximately 0.18 (rounded to two decimal places).

To find the probability that exactly 12 out of 22 pitches are strikes, we can use the binomial probability formula. In this case, the probability of throwing a strike for each pitch is 0.431, and we want to calculate the probability of getting exactly 12 strikes out of 22 pitches.

Using the binomial probability formula, the probability of getting exactly 12 strikes out of 22 pitches is:

P(X = 12) = C(22, 12) * (0.431)^12 * (1 - 0.431)^(22 - 12)

where C(22, 12) represents the number of ways to choose 12 strikes out of 22 pitches.

Calculating this probability, we find:

P(X = 12) = 22! / (12! * (22 - 12)!) * (0.431)^12 * (1 - 0.431)^(22 - 12)

P(X = 12) ≈ 0.1832

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We cannot have a negative number of quarters in the wallet. So, this system of equations has no solution.

Given: Toni has 24 coins in her wallet, Quarters(x), Dimes(y), Nickels(z) that worth $3.80

Part a) Create two scalar equations in three unknowns to model this situation.

The total number of coins = 24x + y + z = 24 (Equation 1)

The worth of all coins = 0.25x + 0.1y + 0.05z = 3.8 (Equation 2)

Part b) Solve the system to determine the value of x, y, and z.

Equation 1:

x + y + z = 24  --------(Equation 1a)

-x = y + z - 24  ------(Equation 1b)

Substituting Equation 1b in Equation 2:

0.25x + 0.1y + 0.05z = 3.8  --------- (Equation 2a)

0.25(y + z - 24) + 0.1y + 0.05z = 3.8  -------(Substituting Equation 1b in Equation 2a)

0.25y + 0.25z - 6 + 0.1y + 0.05z = 3.80.3y + 0.3z = 9.8 --------(Equation 2b)

Multiplying Equation 1a by 0.3:

0.3x + 0.3y + 0.3z = 7.2 --------(Equation 1c)

Subtracting Equation 2b from Equation 1c:

0.3x + 0.3y + 0.3z - (0.3y + 0.3z) = 7.2 - 9.8

x = -2.6x = 8.6 (multiplying by -1 on both sides)

x = 8.6/(-2.6)

x = - 3.31

Therefore, we cannot have a negative number of quarters in the wallet.

So, this system of equations has no solution.

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Answer:

Because she found it improves division.

Step-by-step explanation: