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yarga [219]
3 years ago
14

kay was walking along the bridge above the river. She accidentally lost her grip on her camera when she was trying to get it out

to photograph massive bird nest in the trees. The height of the camera above the water can be modeled by the equation y= -16t^2+400, where t represents the seconds after the camera is dropped. How long will it take before Kay sees the splash from the camera hitting the water?
Mathematics
2 answers:
zhenek [66]3 years ago
6 0
5 seconds 
because that is the positive zero of that equation

Stella [2.4K]3 years ago
4 0

Answer:

It will take 5 seconds before Kay sees the splash from the camera hitting the water.

Step-by-step explanation:

Since the given equation representing height of the camera above the water and time t is

y = -16t²+400 where h = height above the water

and t = time in seconds after the camera is dropped.

Now we can say that the moment camera hits the water height becomes zero from which we can calculate the time taken.

-16t²+ 400 = 0

16t² = 400

t² = 400/16 = 25

t = √25 = 5 seconds.

Therefore time take by the camera before hitting the water is 5 seconds.

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Aliun [14]

Answer:

1) The linear equation in point and slope form is y - 67 = -4 × (x - 14)

2) The variables are;

a) The number of candies available = y

b) The number of days Jennifer eats the candies =

c) The slope, m = -4

3) Jennifer received 123 pieces of candies on Halloween

Step-by-step explanation:

The given parameters are;

The number of candies Jennifer eats everyday = 4 pieces

The number of days for which Jennifer eats the daily 4 candies = 14

The number of candies left at the end of the 14th day = 67 candies

1) We note that the rate of decrease in the number of candies = 4 candies/day

Therefore, the slope of the linear equation is m = -4

The y-intercept = The initial amount of candies Jennifer has = c = 67 + 14× 4 = 123 candies

The linear equation in point and slope form is given as follows;

y - 67 = -4 × (x - 14)

2) The variables are;

a) The y-value represents the number of candies available on a specific day

b) The x value represents the number of days Jennifer eats the candies'

c) The slope = The rate of decrease in the number of candies per day = -4

3) The number of candies Jennifer receives on Halloween is given by the y-intercept of the straight line equation as follows;

y - 67 = -4 × (x - 14)

y - 67 = -4·x + 56

y = -4·x + 56 + 67 = -4·x + 123

y = -4·x + 123

Comparing the above equation, with the general form of the straight line equation, y = m·x + c, where, the constant term, c = The y-intercept, we have;

The y-intercept of the equation y = -4·x + 123 = 123 = The initial amount of candies Jennifer received on Halloween.

6 0
3 years ago
39 times 49 times 81
d1i1m1o1n [39]

Answer:

154,791

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Choose the correct product of (6x − 2)(6x + 2). (1 point)
Vanyuwa [196]
You did not give any choices but this can easily be solved using the FOIL method. 

FOIL stands for First, Outside, Inside, Last. 

In your equation you have (6x-2)(6x+2)
You will multiply the terms that correspond to each letter 

First: Means first terms of each set. In this case 6x and 6x
6x x 6x = 36x^{2} Now you have your first term in the sequence.

Outside: Means terms found in the outside areas of the whole equation, in this case it is 6x and 2
6x x 2 = 12x Now this is the second term

Inside: Means terms found in the inside areas of the whole equation, in this case it is -2 and 6x
-2 x 6x = -12x Now this is your third term

Last: Means the last terms of each set. In this case it is -2 and 2
-2 x 2 = -4  This is your last term

Now you have what you need for your new equation:

36x^{2} + 12x -12x - 4

Because your second and third terms are like terms, you can combine them by doing the operation indicated. 12x-12x = 0 so now you can cancel it out from your equation and your left with:

36 x^{2} - 4 This is your product
6 0
3 years ago
C. What number is 40% of 1607?
Novay_Z [31]

Answer:

642.8

Step-by-step explanation:

1607 divided by 10 = 160.7 x 4 = 642.8

8 0
3 years ago
Eastside middle school ​has 1,500 students. Thirty-two percent of them are in sixth grade. How many sixth-grade students are the
hichkok12 [17]
480 six graders
1,500*0.32 = 480
6 0
3 years ago
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