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Lorico [155]
3 years ago
6

A cliff diver jumps from a ledge 96 feet above the ocean with an initial upward velocity of 16 feet per second. How long will it

take until the diver enters the water?
Mathematics
2 answers:
Nimfa-mama [501]3 years ago
5 0
In my opinion it would be about 36 seconds

GaryK [48]3 years ago
3 0
  the diver will hit the water in 6 sec. because if you divide 96 by 16 you get 6. Also, in order to find the velocity, you divide the time and distance. :)

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For the inequality, find TWO values for x that make the inequality true: 5x<2
dangina [55]

Answer:

a and c

Step-by-step explanation:

5(-2)<2

-10<2

5(-5)<2

-25<2

7 0
3 years ago
Wendall designs a tower with a height in feet that can be represented by the function T(x) = 9(x + 6.9), where x is the height o
Vinil7 [7]

Answer:

G(T(x)) = 27(x + 6.9)

Step-by-step explanation:

Given

T(x) = 9(x + 6.9)

G(x) = 3x

Required [Missing from the question]

G(T(x))

We have:

G(x) = 3x

This implies that:

G(T(x)) = 3(T(x))

Substitute: T(x) = 9(x + 6.9)

G(T(x)) = 3[9(x + 6.9)]

Open bracket

G(T(x)) = 27(x + 6.9)

6 0
3 years ago
Tesla Battery Recharge Time.The electric­ vehicle manufacturing company Tesla esti­mates that a driver who commutes 50 miles per
madam [21]

Answer:

a.) f(x) = \frac{1}{30} where 90 < x < 120

b.) \frac{2}{3}

c.)  \frac{2}{3}

d.)  \frac{1}{2}

Step-by-step explanation:

Let

X be a uniform random variable that denotes the actual charging time of battery.

Given that, the actual recharging time required is uniformly distributed between 90 and 120 minutes.

⇒X ≈ ∪ ( 90, 120 )

a.)

Probability density function , f (x) = \frac{1}{120 - 90} = \frac{1}{30} where 90 < x < 120

b.)

P(x < 110) = \int\limits^{110}_{90} {\frac{1}{30} } \, dx

               = \frac{1}{30}[x]\limits^{110}_{90}  = \frac{1}{30} [ 110 - 90 ] = \frac{1}{30} [ 20] = \frac{2}{3}

c.)

P(x > 100 ) = \int\limits^{120}_{100} {\frac{1}{30} } \, dx

                 = \frac{1}{30}[x]\limits^{120}_{100}  = \frac{1}{30} [ 120 - 100 ] = \frac{1}{30} [ 20] = \frac{2}{3}

d.)

P(95 < x< 110)  = \int\limits^{110}_{95} {\frac{1}{30} } \, dx

                       = \frac{1}{30}[x]\limits^{110}_{95}  = \frac{1}{30} [ 110 - 95 ] = \frac{1}{30} [ 15] = \frac{1}{2}

7 0
3 years ago
Which graph represents the solution to the given system? <br> y = -2x + 5 and y = 3x - 2
sasho [114]
To find the X value of the solution, you would set the two equations equal to each other bu substitution:
if <span>y = -2x + 5 and y = 3x - 2, 
</span>-2x + 5 must be equal to 3x - 2
solve for x... you should get 7/5

then, plug that into one of the original equations as X and you would get the Y value, 11/5

This point, (7/5,11/5) is where the two lines cross
3 0
3 years ago
Read 2 more answers
Use the image from problem 11 to answer this problem.
guajiro [1.7K]

Answer:

34.

Step-by-step explanation:

All angles of a triangle combined equal 180, so if 1 angle measures 146, subtract 146 from 180. 180-146=34

4 0
2 years ago
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