There are 250 students taking either band or chorus. If there are 180 students taking band and 60 students in both band and chor
us, how many students are only in chorus? 10
1 answer:
Answer:
<em>There are </em><em>70</em><em> students only in chorus.</em>
Step-by-step explanation:
Total number of students is 250
Out of 250, 180 students took band.
And 60 took band and chorus, i.e this is the intersection of the 2 groups.
The Venn diagram is attached below.
So, the number of students who took only band = 180-60 = 120
Total number of students or sum of the 3 regions is 250.
So, the number of students who took only chorus = 250-180 = 70
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Answer:
The ball is dropped from a height of 36 feet
The bee and the ball will collide after approximately 1.3 seconds
The bee and the ball will collide at approximately 8 feet above the ground
The ball hits the ground after 1.5 seconds
Step-by-step explanation:
<u><em>The complete question is</em></u>
A ball dropped from the top of the building can be modeled by the function f(t)=-16t^2 + 36 , where t represents time in seconds after the ball was dropped. A bee's flight can be modeled by the function, g(t)=3t+4, where t represents time in seconds after the bee starts the flight.
The graph represents the situation.
select all that apply
1) The bee launches into flight from the ground.
2) The ball is dropped from a height of 36 feet.
3) The bee and the ball will collide after approximately 1.3 seconds.
4) The bee and the ball will collide after approximately 8 seconds.
5) The bee and the ball will collide at approximately 8 feet above the ground.
6) The bee and the ball will not collide.
7) The ball hits the ground after 1.5 seconds
see the attached figure to better understand the problem
<u><em>Verify all the options</em></u>
case 1) The bee launches into flight from the ground.
The statement is false
Because
we have
For t=0
That means ----> The bee launches into flight from a height 4 feet above the ground
case 2) The ball is dropped from a height of 36 feet
The statement is true
Because
For t=0
case 3) The bee and the ball will collide after approximately 1.3 seconds
The statement is true
Because
Equate f(t) and g(t)
solve the quadratic equation by graphing
The solution is t=1.324 sec
see the attached figure N 2
case 4) The bee and the ball will collide after approximately 8 seconds
The statement is false
Because, the bee and the ball will collide after approximately 1.3 seconds (see case 3)
case 5) The bee and the ball will collide at approximately 8 feet above the ground
The statement is true
Because
For t=1.324 sec
substitute the value of t in f(t) or g(t)
case 6) The bee and the ball will not collide
The statement is false
see case 3) and case 5)
case 7) The ball hits the ground after 1.5 seconds
The statement is true
Because
we know that
The ball hit the ground when the value of f(t) is equal to zero
so
For f(t)=0
Answer: cotθ
<u>Step-by-step explanation:</u>
tanθ * cos²θ * csc²θ
=
=
= cotθ
Answer: B
<u>Step-by-step explanation:</u>
The parent graph is y = x²
The new graph y = -x² + 3 should have the following:
- reflection over the x-axis
- vertical shift up 3 units
Answers:
- a. Quadrant II
- b. negative
- c.
- d. C
- e.
<u>Explanation:</u>
a) Quadrant 2 is:
b) In Quadrant 2, cos is negative and sin is positive, so tan is negative
c) =
d) the reference line is above the x-axis so it is negative -->
e)