What is the main source of conflict between Juliet and her parents in Act 3 Scene 5?(1 point)

Responses

Juliet refuses to marry Paris
Juliet refuses to marry Paris

Juliet wants to run away with Romeo.
Juliet wants to run away with Romeo.

Juliet asks for more time to consider their wishes.
Juliet asks for more time to consider their wishes.

Juliet confesses her love for Romeo.

11 answers

The main source of conflict between Juliet and her parents in Act 3, Scene 5 is that Juliet refuses to marry Paris.

How does Juliet show strength or independence in Act 3 Scene 5?(1 point)
Responses

She agrees to marry Paris to appease her parents.
She agrees to marry Paris to appease her parents.

She begs the Nurse to help her escape.
She begs the Nurse to help her escape.

She stands up to her parents and refuses to marry Paris.
She stands up to her parents and refuses to marry Paris.

She confesses her love for Romeo to her parents.

Juliet shows strength or independence in Act 3, Scene 5 by standing up to her parents and refusing to marry Paris.

Which line from Act 3 Scene 5 best captures Juliet’s inner turmoil?(1 point)
Responses

“Is there no pity sitting in the clouds?”
“Is there no pity sitting in the clouds?”

“Good father, I beseech you on my knees.”
“Good father, I beseech you on my knees.”

“It was the nightingale, and not the lark.”
“It was the nightingale, and not the lark.”

“Delay this marriage for a month, a week.”

The line that best captures Juliet’s inner turmoil in Act 3, Scene 5 is “Is there no pity sitting in the clouds?” This line reflects her desperation and emotional conflict regarding her difficult situation.

A volleyball is served by a 6-foot player at an initial upward velocity of 33 feet per second. The situation is modeled by the equation h=−16t2+33t+6
h representing the height in feet and t representing the time in seconds. Using this equation, define the domain of the ball when it reaches its maximum height.(1 point)
Responses

1.22 seconds
1.22 seconds

1.03 seconds
1.03 seconds

23.01 feet
23.01 feet

−1.03 seconds

To find the time when the volleyball reaches its maximum height, we can use the formula for the vertex of a parabola represented by the equation \(h(t) = -16t^2 + 33t + 6\). The time \(t\) at the vertex (maximum height) can be found using:

\[ t = -\frac{b}{2a} \]

Here, \(a = -16\) and \(b = 33\):

\[ t = -\frac{33}{2(-16)} = \frac{33}{32} \approx 1.03 \text{ seconds} \]

Thus, the domain of the ball when it reaches its maximum height is 1.03 seconds.

While hiking, Marek throws a rock off a cliff that is roughly 10 meters above a lake. This situation is modeled by the equation h=−4.9t2+10
, with h representing the height in meters and t the time in seconds. If you were to set up a table to determine when the rock hits the water, what would be a reasonable scale for the range?(1 point)
Responses

110
1 tenth

10
10

2
2

5

To determine when the rock hits the water, we need to find when the height \(h\) is equal to 0. So we set the equation to 0:

\[ 0 = -4.9t^2 + 10 \]

Rearranging gives us:

\[ 4.9t^2 = 10 \ t^2 = \frac{10}{4.9} \ t^2 \approx 2.04 \ t \approx \sqrt{2.04} \approx 1.43 \text{ seconds} \]

Since the rock will hit the water at approximately 1.43 seconds, a reasonable scale for the range in a table of time might be to count in increments of 0.1 seconds or possibly 1 second to give a clearer view of the range from 0 to around 2 seconds.

Considering the options you've provided, the 1 tenth response would be the most precise and appropriate scale for the range.

An owl swoops down from its perch in a tree at 20 feet to catch field mice below. It follows the function h=−6t2−24t+20
. Plot points to graph the equation. Which ordered pair represents the vertex?(1 point)
Responses

(−2,44)
left parenthesis negative 2 comma 44 right parenthesis

(1,0)
left parenthesis 1 comma 0 right parenthesis

(−5,0)
left parenthesis negative 5 comma 0 right parenthesis

(44,−2)
left

To find the vertex of the quadratic equation \( h = -6t^2 - 24t + 20 \), we can use the vertex formula:

\[ t = -\frac{b}{2a} \]

Here, \( a = -6 \) and \( b = -24 \):

\[ t = -\frac{-24}{2 \cdot -6} = \frac{24}{-12} = -2 \]

Now, substitute \( t = -2 \) back into the equation to find the corresponding height \( h \):

\[ h = -6(-2)^2 - 24(-2) + 20 \ h = -6(4) + 48 + 20 \ h = -24 + 48 + 20 \ h = 44 \]

Thus, the vertex of the function \( h = -6t^2 - 24t + 20 \) is at the ordered pair \((-2, 44)\).

Therefore, the correct response is (−2, 44).

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