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taurus [48]
2 years ago
14

A competitive diver dives from a 33-foot high diving board. The height of the diver in feet after 't' seconds is given by u(t) =

−16t^2 + 4t + 33. At the moment the diver begins her dive, another diver begins climbing the diving board ladder at a rate of 2 feet per second. At what height above the pool deck do the two divers pass each other? Please answer it quickly, it's for my homework.
Mathematics
1 answer:
ludmilkaskok [199]2 years ago
7 0

Answer:

t  = 0.375s

Step-by-step explanation:

Given

h(t) = -16t^2 + 4t + 33 --- driver 1

Rate = 2ft/s -- driver 2

height = 33ft

Required

The time they passed each other

First, we determine the function of driver 2.

We have that:

Rate = 2ft/s and height = 33ft

So, the function is:

h_2(t) = Height - Rate * t

h_2(t) = 33 - 2t

The time they drive pass each other is calculated as:

h(t) = h_2(t)

-16t^2 + 4t + 33= 33 - 2t

Collect like terms

-16t^2 + 4t + 2t= 33 - 33

-16t^2 + 6t= 0

Divide through by 2t

-8t + 3= 0

Solve for -8t

-8t  = -3

Solve for t

t  = \frac{-3}{-8}

t  = 0.375s

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Answer:

Therefore the co-ordinate of the point A is (-4,-3)

Step-by-step explanation:

If A(x₁,y₁) and B(x₂,y₂)  is divided by a point in ration m:n internally.

Then the co-ordinate of the point is  (\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_2}{m+n}).

Given two points are P(-7,-5) and Q(5,3).

A point A on PQ, that divides PQ into a ratio of 1:3.

Since the point A lies on the PQ.

Therefore it divides the line segment PQ internally.

Here x₁= -7,y₁= -5 ,  x₂= 5,y₂ =3, m=1,n=3

Therefore the co-ordinate of the point A is

(\frac{5.1+(-7).3}{1+3},\frac{3.1+(-5).3}{1+3})

=(\frac{-16}{4},\frac{-12}{4})

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3 years ago
A package contains 6 cups of cereal. Each serving is 1/4 cup of cereal. How many serving are there in all?
Marina CMI [18]

Answer:

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Step-by-step explanation:

7 0
2 years ago
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A store owner buys a case of 144 pens for $28.80. He sells the pens for $0.40 each. The owner claims that they marked the pens u
stellarik [79]

Answer: $0.3

Step-by-step explanation:

Given

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owner sells the pen at $0.4 i.e. price marked up by

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Emily owns 10.2 shares of stock in a company. On Friday, the stock dropped by $1.35/share. What was the total change in value of
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Step-by-step explanation:

I guess I was help full for u

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Using a formula estimate the body surface area of a person whose height is 150 cm and who weighs 80 kg.
ladessa [460]

Answer:

B. 1.83\text{ m}^2

Step-by-step explanation:

We are asked to find the body surface area of a person whose height is 150 cm and who weighs 80 kg.

\text{Body surface area}( m^2)=\sqrt{\frac{\text{Height (cm)}\times \text{Weight (kg)}}{3600}}

Substitute the values:

\text{Body surface area}( m^2)=\sqrt{\frac{150\text{ cm}\times 80\text{(kg)}}{3600}}

\text{Body surface area}( m^2)=\sqrt{\frac{12,000}{3600}}

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Therefore, the body surface area of the person would be 1.83 square meters.

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