The correct answer is: 17280 <span>
cubic inches</span>
Explanation:As we are going to convert bigger unit (feet) into small unit (inches), we will need to multiple 10 with

as there are 12 inches in 1 foot and the unit is in cubic form, therefore, we would need to take the cube of 12. Mathematically we can write it as:

<span>cubic inches
Hence the correct answer is </span>17280 cubic inches.
Answer:
Here is a similar question attached with.
Option (b) that is 2005 is the right choice.
Step-by-step explanation:
Given:
An equation in slope intercept form.
Where
= number of years
Comparing from the standard slope intercept form.

y-intercept value
According to the question the predicted winning speed
mph
Plugging the value of
in slope intercept form, we will calculate the
(number of years) and then we will add this with
.
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
Finally the year would be
So in year 2005 the winning speed is predicted to be 7.16 mph.
The ticket price which will maximize the student's council is: C. $3.10.
<h3>What is price?</h3>
Price can be defined as an amount of money which is primarily set by the seller of a product, and it must be paid by a buyer to the seller, so as to enable the acquisition of this product.
Based on the information provided about Valley High School student council, we can logically deduce the following data:
- Total number of students = 420 students.
- Lowest ticket price = $2.00.
- Increase in ticket price = $0.20.
- Attendance = 20 fewer students
<h3>How to determine the ticket price?</h3>
Mathematically, the equation which model the profit is given by:
Profit = price × number of tickets sold
P(x) = (2 + 0.2x)(420 - 20x)
P(x) = 840 + 84x - 40x - 4x²
P(x) = -4x² + 44x + 840.
For any quadratic equation with a parabolic curve, the axis of symmetry is given by:
Xmax = -b/2a
Xmax = -44/2(-4)
Xmax = -44/-8.
Xmax = 5.5
Ticket price for maximum profit is given by:
Ticket price = 2 + 0.2x
Ticket price = 2 + 0.2(5.5)
Ticket price = $3.10.
Read more on maximized profit here: brainly.com/question/13800671
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Answer:
156
Step-by-step explanation:
Since, ∠CAT and ∠TAD is a linear pair.
Therefore,
∠CAT + ∠TAD = 180°
14° + (x + 10)° = 180°
(x + 24)° = 180°
x + 24 = 180
x = 180 - 24
x = 156