A school has 500 students and 25 teachers. Which of these statements is true based on this information?

The side lengths 20, 2, 13 do not make a triangle

To determine if 20, 2, and 13 can form a triangle, we can use the triangle inequality theorem which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

So, let's check if this inequality holds true for the given sides:

20 + 2 > 13 (True)

20 + 13 > 2 (True)

2 + 13 > 20 (False)

Since the first inequality (20 + 2 > 13) is false, we can conclude that 20, 2, and 13 cannot form a triangle.

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The coordinates of the specified vertex after the given sequence of transformations is given by;

Q' = (3, -3).

In Mathematics, the translation of a geometric figure to the right simply means adding a digit to the value on the x-coordinate (x-axis) of the pre-image of a function while a geometric figure that is translated up simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image or parent function.

Mathematically, a horizontal translation to the right is modeled by this mathematical expression g(x) = f(x + N) while a vertical translation to the positive y-direction (upward) is modeled by this mathematical expression g(x) = f(x) + N.

Where:

By translating the coordinate Q (1, 3) two (2) units to the right, we have the following:

Coordinate Q (1, 3) → Coordinate Q' (1 + 2, 3) = Q (3, 3)

In Mathematics, a reflection across the x-axis would maintain the same x-coordinate while the sign of the y-coordinate would change from positive to negative. Therefore, a reflection over the x-axis is given by this transformation rule:

(x, y)      →       (x, -y)

Coordinate Q' (3, 3) → (3, -3).

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Child is prescribed amoxicillin to be given 3 times per day. If she weighs 81 pounds, the maximum dose that she should receive is 500mg.

First, we need to convert the weight of the child from pounds to kilograms. We can do this by dividing the weight in pounds by 2.205 to get the weight in kilograms:

81 pounds÷2.205=36.74 kg

Next, we can calculate the maximum dose of amoxicillin that the child should receive per day by multiplying her weight in kilograms by 40 mg/kg:

36.74 kg×40 mg/kg=1469.6 mg

Since the maximum dose should not exceed 1500 mg per 24 hour period, the child should receive no more than 1500 mg of amoxicillin per day.

Finally, we need to divide the maximum daily dose by 3 to determine the maximum dose per individual dose, since the medication is prescribed to be given 3 times per day:

1500 mg÷3=500 mg

Therefore, the maximum dose of amoxicillin that the child should receive per individual dose is 500 mg.

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Step-by-step explanation:

h(-1) simply means that x=-1, and we use that everywhere in the function, where x appears, and simply calculate the result.

that is how a function works. out of an input value (x) we generate/calculate a result value (y).

(2x - 6) / (4x² + 8)

x = -1

(2×-1 - 6) / (4×-1² + 8) = (-2 - 6) / (4×1 + 8) = -8 / (4+8) =

= -8/12 = -2/3

h(-1) = -2/3

The partial sum S4 based on the information will be 587.

It should be noted that to find the partial sum S4, we need to add up the first 4 terms of the given sequence.

First, let's write out the first few terms of the sequence:

a1 = 5(3)^1-2 = 13

a2 = 5(3)^2-2 = 43

a3 = 5(3)^3-2 = 133

a4 = 5(3)^4-2 = 398

So, the partial sum S4 can be calculated as:

S4 = a1 + a2 + a3 + a4

= 13 + 43 + 133 + 398

= 587

Therefore, the partial sum S4 is 587.

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The price elasticity of demand (PED) for the logo T-shirts is 1.67, indicating that the demand for T-shirts is elastic. Lowering the price from $15 to $10 increased the total revenue, suggesting that the T-shirt made a good decision in lowering the price. This is because the price change led to a significant increase in quantity demanded and overall revenue.

To calculate the price elasticity of demand (PED), we can use the following formula:

PED = ((Q2 - Q1) / ((Q2 + Q1) / 2)) / ((P2 - P1) / ((P2 + P1) / 2))

Given that Q1 = 25, Q2 = 50, P1 = $15, and P2 = $10, we can substitute these values into the formula:

PED = ((50 - 25) / ((50 + 25) / 2)) / (($10 - $15) / (($10 + $15) / 2))

Simplifying this expression:

PED = (25 / 37.5) / (-5 / 12.5)

PED = (-2/3) * (-2.5) = 1.67

The price elasticity of demand (PED) for the logo T-shirts is 1.67.

Since PED is greater than 1, it indicates that the demand for T-shirts is elastic. This means that a decrease in price by 1% will result in a greater than 1% increase in quantity demanded. To determine if lowering the price was a good decision, we can analyze the effect on total revenue. The price-total revenue test states that:

If PED is elastic (greater than 1), a decrease in price will lead to an increase in total revenue.

If PED is inelastic (less than 1), a decrease in price will lead to a decrease in total revenue.

If PED is unit elastic (equal to 1), a change in price will have no effect on total revenue.

Let's calculate the total revenue at both prices:

Total Revenue at $15 = $15 * 25 = $375

Total Revenue at $10 = $10 * 50 = $500

Comparing the total revenue at each price, we can see that lowering the price from $15 to $10 increased the total revenue from $375 to $500. Therefore, the T-shirt made a good decision in lowering the price because it led to an increase in total revenue.

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Given:

a.) A plot of land for sale has a width of x ft. and a length that is 8 ft. less than its width.

b.) A farmer will only purchase the land if it measures 240 ft.

From the given description of the measurement of the land, we generate the following equations:

Width = w

Length = w - 8

Area of the Land = 240 ft.^2

Area = Width x Length

240 = (w)(w - 8)

240 = w^2 - 8w

w^2 - 8w - 240 = 0

Question 1: Create an equation in terms of w that models this situation.​

Answer: 240 = w^2 - 8w

Factoring out 240 = w^2 - 8w, we get:

240 = w^2 - 8w

w^2 - 8w - 240 = 0

w^2 - 8w - 240 = 0 → (w - 20)(w + 12) = 0

First possible measure of the width,

w - 20 = 0

w = 20 ft.

Second possible measure of the width,

w + 12 = 0

w = -12 ft.

A dimension must never be a negative value, therefore, the width must be equal to 20 ft.

Let's determine the length,

Length = w - 8

= 20 - 8

Length = 12 ft.

Summary:

The equation that models the situation: 240 = w^2 - 8w or w^2 - 8w = 240

The measure of the length = 12 ft.

The measure of the width = 20 ft.

Answer:

the missing numbers are -1, 3,

Step-by-step explanation:

11-7=4

sooo

-5+4= -1

-1+4=3

Answer:

i think

Step-by-step explanation:

1/24

Hi,

it'took 70 minutes to empty the pool.  

After 20 it's stay 45 000 litres.   So in 50 minutes, 45 000 litres are gone.  

So  :    45 000 / 50 =  4500/5 = 9*5 *100 /5 = 900

900 litres is off  every minute.

So the  pool contained  :  900 *70 =  63 000 litres  in the beginning.

For the given function : (f o g)(x) = x, (g o f)(x) = x/5, (f o g)(5) = 6, (g o f)(5)  = 1.64.

Now,

a.f(g(x)) = 5((x+4)/5) - 4 = x

b. (g o f)(x) =
g(f(x)) = (5x-4 + 4)/5 = x/5

c. (f o g)(5) =
f(g(5)) = f((5+4)/5) = f(1.8) = 5(1.8) - 4 = 6

d. (g o f)(5) =
g(f(5)) = g(5*5-4) = g(21/5) = (21/5 + 4)/5 = 1.64

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Answer:

system of function:

f(x)=.5x+6

f(x)=x^2; x > 2

Step-by-step explanation:

there's a screenshot attached. Explanation: I'm using desmos and just type the functions like what the screenshot did to graph the piecewise function made by two functions

Answer:SLOPE

Step-by-step explanation:M in a equation is slope

Answer:

1/ 125

Step-by-step explanation:

Answer:

Step-by-step explanation:

(53)−3. First, distribute the -3 in the exponent to the numerator and the denominator. (5−33−3) Because both of the exponents are negative=(35)3=27125

To find the third side of an inequality of a triangle, you must first use the Triangle Inequality Theorem.

This theorem states that for any triangle, the sum of any two sides of the triangle must be greater than the third side. This means that in order to find the length of the third side, you must subtract the sum of the two known sides from the smaller of the two sides, then the length of the third side will be equal to the difference between these two numbers. For example, if two sides of a triangle have lengths of 4 and 3, the third side must be greater than 1 (4 + 3 = 7 and 4 - 3 = 1). Therefore, the length of the third side must be greater than 1.

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The most widely used method for rating attributes is the Likert scale.

The Likert scale is a popular method for measuring attitudes, opinions, and perceptions of individuals towards a particular attribute or construct.

It consists of a series of statements or items that respondents are asked to rate on a scale typically ranging from "Strongly Disagree" to "Strongly Agree" or from "Very Unsatisfied" to "Very Satisfied."

The scale can vary in the number of response options, but it usually has five or seven points.

The Likert scale provides a way to quantify subjective responses and allows researchers to gather data on people's preferences, opinions, and perceptions.

It is widely used in various fields such as psychology, social sciences, market research, and customer satisfaction surveys.

Therefore, the Likert scale is the most widely used method for rating attributes.

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The correct option is B is correct that is by setting access to private on the class fields using the correct notation.

Given that,

Data hiding refers to the protection of sensitive data from outside code for an object. This is achieved using Options

A) Making use of the class methods' private access specifier.

B) By setting access to private on the class fields using the correct notation.

C) Using the class methods' public access specifier.

D) Using the class definition's private access specifier.

Whichever choice is accurate must be determined.

We know that,

The private modifier limits access to a class's methods or properties from any code that is outside the class, but the public access modifier permits a code from inside or outside the class to access the class's methods and properties.

Therefore, The correct option is B is correct that is by setting access to private on the class fields using the correct notation.

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200 is the mean absolute deviation. Therefore, choice three (200) is the right one.

The absolute difference between the predicted and actual values must be determined, added together, and divided by the total number of periods.

Forecasted values are as follows: 1,500 and 1,400

Values in actuality: 1,200 and 1,500

Absolute differences:

|1,500 - 1,200| = 300

|1,400 - 1,500| = 100

Now, we calculate the MAD:

MAD = (300 + 100) / 2 = 400 / 2 = 200

Therefore, 200 is the mean absolute deviation. Therefore, choice three (200) is the right one.

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Answer:

Just substitute, and the simplified form is 1

Step-by-step explanation:

Substitute the values needed into the original equation. For example, if n=1

t(1)=15-2.5(1)=15-2.5=12.5. Or, if tn+1 substitute f(tn+1)=15-2.5(tn+1) and simplify.

tn+1-tn in its simplest form is just 1, as tn and -tn cancel out to leave 1.

Using the normal distribution, it is found that the replacement time that separates the top 18% from the bottom 82% is of 11.23 years.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

In this problem, the mean and the standard deviation are, respectively, given by \(\mu = 9.4, \sigma = 2\).

The desired value is the 82nd percentile, which is X when Z = 0.915, hence:

\(Z = \frac{X - \mu}{\sigma}\)

\(0.915 = \frac{X - 9.4}{2}\)

X - 9.4 = 0.915(2)

X = 11.23

The replacement time that separates the top 18% from the bottom 82% is of 11.23 years.

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Answer:

$760

Step-by-step explanation:

950 x 0.8 = 760

Based on the equation of the curve of best fit, when x = 72, the predicted y-value is approximately 68.78.

To predict the y-value when x = 72 using the equation of the curve of best fit, we first need to determine the type of function that best fits the given ordered pairs: {(63, 50), (57, 68), (59, 55), (48, 71), (54, 72)}.

One common approach is to perform a regression analysis to find the equation of the curve of best fit. Let's assume a linear regression for simplicity. We can use the least squares method to determine the equation of the line that best fits the given data.

Using a regression analysis, we obtain the equation of the line of best fit:

y = -0.335x + 93.329

To predict the y-value when x = 72, we substitute x = 72 into the equation:

y = -0.335 * 72 + 93.329

Calculating this expression, we find:

y ≈ 68.78

As a result, the anticipated y-value at x = 72, according to the equation of the best fit curve, is roughly 68.78.

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The total distance Raven is driving is 300 mi. The distance she has left to drive is 210 mil.

Percentage is the fraction out of an amount that is usually expressed as a number out of hundred. It is a measure of frequency.

Total distance = 90 mi / 30%

=90 / 0.3 = 300 mi

Distance he has left = 300 - 90 = 210 mi

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Answer:

t_n =a +(n-1)d

t_100 = 2+ (100-1)6

= 2+99× 6

= 2 +594

= 596

x = 2 to x = 5 is 4.

To find the average rate of change of a function, you need to subtract the initial value from the final value and divide it by the change in the input variable. Here's how to use a calculator to find the average rate of change of a function:Step 1: Input the initial value of the input variable into the calculator.Step 2: Input the final value of the input variable into the calculator.Step 3: Subtract the initial value from the final value.Step 4: Divide the difference by the change in the input variable. Example:Find the average rate of change of the function f(x) = 3x - 1 from x = 2 to x = 5.Step 1: Input 2 into the calculator.Step 2: Input 5 into the calculator.Step 3: Subtract 3(2) - 1 from 3(5) - 1. The result is 14.Step 4: Divide 14 by 5 - 2. The result is 4.Therefore, the average rate of change of f(x) from x = 2 to x = 5 is 4.

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The time it take the egg to pass by a window at a height of 20 feet is 2.18 secs

If a person drops an egg off the roof of a building from a height of 92 feet, then;

96 - 20= 16t^2

t^2 = 76/16

t = 2.18secs

Hence the time it takes the egg to pass by a window at a height of 20 feet is 2.18 secs

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Given vector field, F(x, y, z) = y cos (xy) i + x cos (xy) j – sin z k To calculate the curl of F, we need to take the curl of each component and subtract as follows,∇ × F = ( ∂Q/∂y - ∂P/∂z ) i + ( ∂P/∂z - ∂R/∂x ) j + ( ∂R/∂x - ∂Q/∂y ) k...where P = y cos(xy), Q = x cos(xy), R = -sin(z)

Now we calculate the partial derivatives as follows,

∂P/∂z = 0, ∂Q/∂y = cos(xy) - xy sin(xy), ∂R/∂x = 0...

and,

∂P/∂y = cos(xy) - xy sin(xy), ∂Q/∂z = 0, ∂R/∂y = 0

Therefore,

∇ × F = (cos(xy) - xy sin(xy)) i - sin(z)j

The curl of F is given by:

(cos(xy) - xy sin(xy)) i - sin(z)j.

To state whether F is conservative, we need to determine if it is a conservative field or not. This means that the curl of F should be zero for it to be conservative. The curl of F is not equal to zero. Hence, the vector field F is not conservative. Let C be the curve joining the origin (0,1,-1) to the point with coordinates (1, 2V2,2) defined by the following parametric curve:

r(t) = n* i + t}j + tcos atk, 15t52.

The curve C is defined as follows,r(t) = ni + tj + tk cos(at), 0 ≤ t ≤ 1Given vector field, F(x, y, z) = y cos(xy) i + x cos(xy)j – sin zk Using the curve parameterization, we get the line integral as follows,∫CF.dr = ∫10 F(r(t)).r'(t)dt...where r'(t) is the derivative of r(t) with respect to t

= ∫10 [(t cos(at))(cos(n t)) i + (n cos(nt))(cos(nt)) j + (-sin(tk cos(at)))(a sin(at)) k] . [i + j + a tk sin(at)] dt

= ∫10 [(t cos(at))(cos(n t)) + (n cos(nt))(cos(nt)) + (-a t sin(at) cos(tk))(a sin(at))] dt

= ∫10 [(t cos(at))(cos(n t)) + (n cos(nt))(cos(nt)) - a^2 (t/2) (sin(2at))] dt

= [sin(at) sin(nt) - (a/2) t^2 cos(2at)]0^1

= sin(a) sin(n) - (a/2) cos(2a)

The vector field F(x, y, z) = y cos(xy) i + x cos(xy)j – sin zk is given. Firstly, we need to calculate the curl of F. This involves taking the curl of each component of F and subtracting. After calculating the partial derivatives of each component, we get the curl of F as (cos(xy) - xy sin(xy)) i - sin(z)j. Next, we need to determine whether F is conservative. A conservative field has a curl equal to zero. As the curl of F is not equal to zero, it is not a conservative field. In the second part of the problem, we have to calculate the scalar line integral of the vector field F. dr along the curve C joining the origin to the point with coordinates (1, 2V2, 2). We use the curve parameterization to calculate the line integral. After simplifying the expression, we get the answer as sin(a) sin(n) - (a/2) cos(2a).

The curl of the given vector field F(x, y, z) = y cos(xy) i + x cos(xy)j – sin zk is (cos(xy) - xy sin(xy)) i - sin(z)j. F is not conservative as its curl is not zero. The scalar line integral of the vector field F along the curve C joining the origin to the point with coordinates (1, 2V2,2) is sin(a) sin(n) - (a/2) cos(2a).

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Angled E and G are congruent because they are vertical angles

PLEASE MARK BRAINLIEST

Answer:

congruent and vertical

I TOOK THE TEST AND GOT A 100

Answer:

Actually, I didn't get your question, is it -3/8÷ -1/3 or -1/3÷ -3/8?

If it is -3/8÷ -1/3, the answer will be 9/8

But if is -1/3÷ -3/8, the answer will be 8/9

Step-by-step explanation:

-3/8÷ -1/3

= -3/8× 3/-1

= -9/-8

= 9/8

If your question is -1/3÷ -3/8, the answer is 8/9 in the same way.