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lilavasa [31]
3 years ago
14

Help!!!URGENT DUE SOON AND SHOW WORK

Mathematics
1 answer:
Tcecarenko [31]3 years ago
5 0

Answer:

1) closed circle at -1/4 (closer to zero than -1) arrow going positive

2) closed circle at -6 arrow going negative

3) closed circle at 2 arrow going positive

4) open circle at -2 arrow going positive

5) open circle at 2/3 (closer to one then zero) arrow going positive

6) closed arrow at 5 arrow going positive

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At the circus, a clown is shot from a cannon. This situation can be modeled by the function: h = – 16t2 + 45t + 15, where 'h' is
weeeeeb [17]

Answer:

The maximum height is 46.64 feet.

Step-by-step explanation:

If we take the derivative of h whit respect to t and equal this to zero we would find the value of t which corresponds to the maximum h.

So, we have the function h(t):

h(t)=-16t^{2} + 45t + 15

Taking the derivative, we have:

\frac{dh(t)}{dt}=-32t + 45=0

Now, we solve it for t:

t=\frac{45}{32}=1.4\: s

Finally, we put this value of t into the original equation.

h(t)=-16(1.4)^{2} + 45(1.4) + 15

h_{max}=46.64\: ft      

Therefore, the maximum height is 46.64 feet. All the given options are wrong, the one that comes closest is option A.

I hope it helps you!          

4 0
3 years ago
Suppose that the quantity supplied S and quantity demanded D of​ T-shirts at a concert are given by the following functions wher
harkovskaia [24]

Answer:

Step-by-step explanation:

The demand function is expressed as

D(p )=1150-50p

The supply function is expressed as S(p)=−200 + 40p

Where

p represents the price

A) The equilibrium price is the price at which the quantity supplied and the quantity demanded would be equal. Therefore

1150 - 50p = - 200 + 40p

40p + 50p = 1150 + 200

90p = 1350

p = 1350/90

p = 15

The equilibrium price is $15

b) For quantity demanded to be greater than quantity supplied, the price would be

1150 - 50p > - 200 + 40p

40p + 50p > 1150 + 200

90p > 1350

p > 1350/90

p > 15

The price would be greater than 15

c) if the quantity demanded is greater than the quantity​ supplied, the prices of the T shirt would increase.

7 0
3 years ago
The least common multiple of two numbers is 60, and one of the numbers is seven less than the other numbers. What are the number
anastassius [24]
Start by writing all of the pairs of numbers that go into 60

1 60
2 30
3 20
4 15
5 12
6 10


Then, look for the pair that has a difference of seven between the two numbers.

Your numbers are 5 and 12
7 0
2 years ago
Which statement is true for all parallelograms? (1 point)
Aloiza [94]

The opposite sides are equal in length.

Step-by-step explanation:

Opposite sides of a parallelogram must be congruent. This is a property of all parralelograms.

8 0
1 year ago
Pythagorean theorem
svetoff [14.1K]

Answer:

The answer would be 13

Step-by-step explanation:

if you do 5 sq. plus 12 sq. you get 169 and square root of 169 is 13.

5 0
2 years ago
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