susan choi behaves seductively towards nurse ben. which of the following responses by ben is appropriate?

Answer:

m < A = 30 degrees.

Step-by-step explanation:

If we draw  the triangle we see that:

sin A = BC/AC and cos C = BC/AC, so as sin A + cos C = 1 :

BC/AC + BC/AC = 1

Multiplying through by BC:-

2BC = AC

So sin A = BC/AC = BC / 2BC

= 1/2

- giving m < A = 30 degrees.

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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Answer:

x=2

Step-by-step explanation:

Step-by-step explanation:

2.25x+15=9.5x+0.5

15-0.5=9.5x-2.25x

14.5=7.25x

x=14.5

7.25

x=2

hope it helps.

ANSWER:

The correct choices are B and C

STEP-BY-STEP EXPLANATION:

For it to be a right triangle, it must fulfill the Pythagorean theorem that says the following:

We apply for each case, like this

Answer:

True

Step-by-step explanation:

27 = 3 x 9

0.9 = 9 x 0.1

27 ÷ 0.9

= 27/0.9

= (3 x 9)/(9 x 0.1)

= 3/0.1

= 3/0.1 x 10/10

= (3 x 10)/(0.1 x 10)

= 30/1

= 30

Answer:

The final cost after the discount and tax is $179.76

Step-by-step explanation:

Since the discount is 30%, she only pays 70% of the price of the ticket.

Discounted price before tax:

70% of $240 = 0.7 × $240 = $168

Now think of the price $168 as a new price.

The price is $168 which is 100% of the price. Tax is 7% of the price, so you must pay 107% of the price.

107% of $168 = 1.07 × $168 = $179.76

Answer: The final cost after the discount and tax is $179.76

Answer:

Step-by-step explanation:

divide 50 by 8

6.25 boom

Answer:

144 is correct

Step-by-step explanation:

13 - 1 is 12

12 times 12 = 144

144 divided by 2 is 72

72 times 2 is 144

Answer:

yes the answer is correct 144

Step-by-step explanation:

I hope this answer is correct please tell me

The type of sampling described, where the researchers intentionally select a sample with 50% straight and 50% LGBTQ+ respondents, is known as "disproportionate stratified sampling."

A. Disproportionate stratified sampling involves dividing the population into different groups (strata) based on certain characteristics and then intentionally selecting a different proportion of individuals from each group. In this case, the researchers are dividing the population based on sexual orientation (straight and LGBTQ+) and selecting an equal proportion from each group.

B. Availability sampling (also known as convenience sampling) refers to selecting individuals who are readily available or convenient for the researcher. This type of sampling does not guarantee representative or unbiased results and may introduce bias into the study.

C. Snowball sampling involves starting with a small number of participants who meet certain criteria and then asking them to refer other potential participants who also meet the criteria. This sampling method is often used when the target population is difficult to reach or identify, such as in hidden or marginalized communities.

D. Simple random sampling involves randomly selecting individuals from the population without any specific stratification or deliberate imbalance. Each individual in the population has an equal chance of being selected.

Given the description provided, the sampling method of intentionally selecting 50% straight and 50% LGBTQ+ respondents represents disproportionate stratified sampling.

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Answer:

Im pretty sure what you have to do is add up the angles and subtract 360.

Step-by-step explanation:

Im not 100% though. good luck

Answer:

39.275

Step-by-step explanation:

the diameter of the semicircle is 10

A semicircle is half a circle, and a quarter circle is 1/4 of a circle.

Perimeter of a semicircle is ¶d/2

= 3.142 x 10/2 = 3.142 x 5 = 15.71

For 2 semicircles that will be 15.71 x 2 = 31.42

For the quarter circle, perimeter is ¶d/4 = 3.142 x 10/4 = 3.142 x 2.5 = 7.855

Total perimeter = 31.42 + 7.855 = 39.275

Answer:

5 INCHES

Step-by-step explanation:

If 2 inches = 350 miles

then 1 inch is 350%2 which is 175

So 875 % 175 = 5 inches

Answer:

6/5 or 1 1/5

Step-by-step explanation:

pa brainlest po ako plss

The area of triangle HIJ is 7 square units.

Given that, the vertices of triangle HIJ are H(-9,-8), I(-5,-5), and J(-7,-3) respectively. By using the vertices of triangle HIJ we have to evaluate its area in square units. So, let's procced to solve the question.

Area of ΔHIJ = 1/2|x₁(y₂-y₃)+x₂(y₃-y₁)+x₃(y₁-y₂)|

So, x₁ = -9, x₂ = -5, x₃ = -7 and y₁ = -8, y₂ = -5, y₃ = -3

Put all the listed values in the formula of area of triangle HIJ.

By using the above formula, we get

=1/2|-9(-5+3)+(-5)(-3+8)+(-7)(-8-(-5))|

=1/2|-9(-2)-5(5)+(-7)(-3)|

=1/2|18-25+21|

=1/2|14|

= 1/2 x 14

= 7

Therefore, the area of triangle HIJ is 7 square units.

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Answer:

Maria needs 3 lengths of gutter of finish the shed.

Step-by-step explanation:

We need to calculate the perimeter of the rectangular shed to know how much  5 feet gutter is needed.

The perimeter of the shed is p = 2(l + b) where l = 10ft and b = 9 ft

p = 2(10 + 9) = 2(19) = 38 ft

Now, the perimeter of the shed also equal 23 ft of gutter already installed plus 5x ft gutter where x = number of gutters.

So 23 + 5x = 38

collecting like terms, we have

5x = 38 - 23

5x = 15

dividing through by 5 we have

5x/5 = 15/5

x = 15/5

x = 3

So, Maria needs 3 lengths of gutter of finish the shed.

Answer: $4.99

Step-by-step explanation:

The amount that Savannah paid for the 3 pairs of socks will be gotten by subtracting $5.03 from $20 which will be:

= $20 - $5.03

= $14.97

Since each paid of socks cost thesame amount, the cost of each pair of socks will be:

= $14.97/3

= $4.99

Each pair of socks cost $4.99

Step-by-step explanation:

x2+1/x2=27

x2+1=27x2

1=26x2

x2 = 1/26

x = √(1/26)

x3+1/x3 = (√(1/26))^3 + 1 / (√(1/26))^3

x3+1/x3 = 134

Please find attached photograph for your answer

The cost of each large smoothie (y) is $7.

To find the cost of a small smoothie (x) and the cost of a large smoothie (y), we can set up a system of equations based on the given information.

Let's denote the cost of a small smoothie as x and the cost of a large smoothie as y.

We can establish two equations:

Equation 1: 10y + 5x = 65 (The girls soccer team paid $65 for 10 large smoothies and 5 small smoothies.)

Equation 2: 14y + 3x = 77 (The boys soccer team paid $77 for 14 large smoothies and 3 small smoothies.)

To solve this system of equations, we can use various methods such as substitution or elimination.

Let's solve it using the elimination method:

Multiply Equation 1 by 2 to eliminate the x term:

20y + 10x = 130

Now we have:

20y + 10x = 130

14y + 3x = 77

Subtracting Equation 2 from Equation 1, we get:

(20y + 10x) - (14y + 3x) = 130 - 77

6y + 7x = 53

We now have two equations:

6y + 7x = 53

14y + 3x = 77

Solving this system of equations will give us the values of x and y, representing the cost of a small smoothie and a large smoothie, respectively.

To find the cost of each large smoothie, we can substitute the value of y back into either of the original equations.

Let's use Equation 1:

10y + 5x = 65

10(3) + 5x = 65 (substituting y = 3)

30 + 5x = 65

5x = 65 - 30

5x = 35

x = 35/5

x = 7

The cost of each large smoothie (y) is $7.

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The statement is false. The correct formula for the monthly payment on a $13,000 5-year car loan with a yearly interest rate of 9.5% compounded monthly is PMT(0.00791667, 60, 13000).

To calculate the monthly payment on a loan, we typically use the PMT function, which takes the arguments of the interest rate, number of periods, and loan amount. In this case, the loan amount is $13,000, the interest rate is 9.5% per year, and the loan term is 5 years.

However, before using the PMT function, we need to convert the yearly interest rate to a monthly interest rate by dividing it by 12. The monthly interest rate for 9.5% per year is approximately 0.00791667.

Therefore, the correct formula for the monthly payment on a $13,000 5-year car loan with a yearly interest rate of 9.5% compounded monthly is PMT(0.00791667, 60, 13000).

Hence, the statement is false.

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(i)  These partial derivatives are not equal, the differential equation is not exact.

(ii) This is an exact differential equation, since ∂M/∂y = (3x^2 + 2xy) = ∂N/∂x.

(iii)  The general solution of the differential equation is given by:

x^3 + x^2y^2 + (1/2)y^3 = C

(i) To check the exactness of the differential equation, we need to compute the partial derivatives of the expression 3xy + y² with respect to y and the partial derivatives of x² + xy with respect to x. We have:

∂(3xy + y²)/∂y = 6xy + 2y

∂(x² + xy)/∂x = 2x + y

Since these partial derivatives are not equal, the differential equation is not exact.

(ii) To transform the differential equation into an exact one, we need to find an integrating factor of the form ry, for some function r(x,y). Multiplying the given differential equation by this integrating factor, we obtain:

(3xy + y²)ry + (x² + xy)r - d(ry)/dx = 0

Next, we want to choose r(x,y) such that the mixed partial derivatives of the left-hand side with respect to x and y are equal. That is,

∂/∂y[(3xy + y²)ry + (x² + xy)r] = ∂/∂x[(x² + xy)r - d(ry)/dx]

Expanding the left-hand side using the product rule and simplifying, we get:

(3xry + 6yry + 2yr) + (2xr + xr + yr)∂r/∂x = (2xr + yr) + (y∂r/∂x)

Equating coefficients of like terms, we obtain two equations:

3yr = 1

6yry + 2yr + 2xr + xr = y∂r/∂x

Solving the first equation, we get:

r(x,y) = 1/(3y)

Substituting this into the second equation and integrating with respect to x, we get:

r(x,y) = (x^2 + xy)/y^4

Therefore, the integrating factor is given by:

I(x,y) = (x^2 + xy)/y^4

Multiplying the original differential equation by this integrating factor, we get:

(3x^3 + 3x^2y + xy^2)dx + (x^2y + y^3)dy = 0

This is an exact differential equation, since ∂M/∂y = (3x^2 + 2xy) = ∂N/∂x.

(iii) To find the general solution of the equation, we need to integrate both sides of the equation with respect to x and y, respectively. Integrating the first term with respect to x and the second term with respect to y, we obtain:

x^3 + x^2y^2 + (1/2)y^3 = C

where C is the constant of integration. Therefore, the general solution of the differential equation is given by:

x^3 + x^2y^2 + (1/2)y^3 = C

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Answer:

B. adding 4

Step-by-step explanation:

\(-48+4=-44 \\ \\ -44+4=-40 \\ \\ -40+4=-36 \\ \\ -36+4=-32\)

Answer:

y= ((10 / 4) * x )- 1

Step-by-step explanation:

First we isolate the y variable

substract - 20x both sides

8y = 20x-8

divide both sides by 8 to isolate y

y = ((20/8)x) -1

simplify fraction

y = ((10/4)x) - 1

For the 6th point, the answer is PR because this is the formula from the Pitagoras theorem, PT and RT are the hicks, so PR is the hypotenuse.

For the 7th point, the answer is QR because this is the formula from the Pitagoras theorem, QT and RT are the hicks, so QR is the hypotenuse.

Answer:

B

Step-by-step explanation:

you can FOIL or set up a box that is 3 x 3 (which is what I recommend) to solve it.

The product of the given polynomials is \(16x^4 +16x^3 -12x^2-32x-16\). The correct option is- B. \(16x^4 +16x^3 -12x^2-32x-16\)

From the question, we are to determine the product of the given polynomials

The given polynomials are

(8x^2-4x-8) (2x^2+3x+2)

Their product can be determined as follows

\((8x^2-4x-8) (2x^2+3x+2)\)

\((8x^2) (2x^2+3x+2)-4x(2x^2+3x+2)-8 (2x^2+3x+2)\)

Clear the brackets

\(16x^4 +24x^3+16x^2 -8x^3-12x^2-8x-16x^2-24x-16\)

Now, collect like terms

\(16x^4 +24x^3 -8x^3-12x^2+16x^2-16x^2-8x-24x-16\)

Simplifying

\(16x^4 +16x^3 -12x^2-32x-16\)

Hence, the product of the given polynomials is \(16x^4 +16x^3 -12x^2-32x-16\). The correct option is- B. \(16x^4 +16x^3 -12x^2-32x-16\)

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Given a set of ordered pairs, to find the set tha represent a function, we have to look at the x coordinates. If there are points with repeated x coordinates, then, that set does not represent a function. For example, the sets:

cannot represent a function, while the following sets:

can represent a function

Answer:

b = 8.9

Step-by-step explanation:

( 12^2 - 8^2 )

(144 - 64)

\(\sqrt{80}\)

b= 8.9

Answer:

Step-by-step explanation:

if it's talking about between the numbers 75 to 97, then it's 22.

Null Hypothesis - H0: There is no linear relationship between the weight of pinknits and the number of gogles.

Alternative Hypothesis - Ha: There is a linear relationship between the weight of pinknits and the number of gogles.

To explain the concept behind this question we first need to know about the principle of correlation.

Correlation - It is a measure of comparison of two quantities by which we compute that which two quantities are linearly equal means that if we change one quantity the other will also change at a constant rate.

This principle simply makes a relationship without causing any effect on the quantities.

Now according to the question, we can see that,

Therefore, from the data that scientists predicted, we can conclude that,

Null Hypothesis - H0: There is no linear relationship between the weight of pinknits and the number of gogles.

Alternative Hypothesis - Ha: There is a linear relationship between the weight of pinknits and the number of gogles.

Option 4 is correct.

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A group of scientists discovered a small creature at the bottom of the ocean that they called a "piknit". When this interesting creature dies, it explodes itself into a number of baby piknits called gogles. The scientists randomly selected 20 piknits from the sea-floor and measured their respective weights in grams. After the piknits died they counted the number of gogles that each piknit produced. They wanted to know if the weight of the piknits can be used to predict the number of gogles.

What are the appropriate null and alternative hypotheses?

Group of answer choices

H0: There is no linear relationship between the weight of piknits and the number of gogles

Ha: There is a negative linear relationship between the weight of piknits and the number of gogles

H0: Weight of piknits is a useful predictor for the number of gogles

Ha: Weight of piknits is not a useful predictor for the number of gogles H0: There is a linear relationship between the weight of piknits and the number of gogles

Ha: There is no linear relationship between the weight of piknits and the number of gogles

H0: There is no linear relationship between the weight of piknits and the number of gogles

Ha: There is a linear relationship between the weight of piknits and the number of gogles

Answer:

the answer would be 6

Step-by-step explanation:

the way i got my answer is by adding on to the negative on the 2,-1 then i add 5 to the over all to get 1 plus 5 and get 6.

The distance between the two points (2,-1) and (2,5) is 6 units.

The distance between two points \((x_1,y_1),(x_2,y_2)\) is,

\(d=\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2} }\)

For given example,

Let \((x_1,y_1)=(2,-1),(x_2,y_2)=(2,5)\)

Let 'd' be the distance between two points (2,-1) and (2,5).

Using distance formula,

⇒ \(d=\sqrt{(2-2)^{2}+(5-(-1))^{2} }\)

⇒ \(d=\sqrt{(0)+(5+1)^{2} }\)

⇒ \(d=\sqrt{6^{2} }\)

⇒ \(d=6\) units.

Therefore, the distance between two points (2,-1) and (2,5) is 6 units.

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