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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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Solve this inequality for x: -46 − 8x > 22. A. x < 8.5 B. x < -8.5 C. x > -8.5 D. x > 8.5
marissa [1.9K]

Step one rewrite: -46-8x>22

Add 46 to both sides: -8x>68

Divide both sides by -8 to isolate x<-8.5

(remember to flip the inequality sign when multiplying or dividing by negative numbers in inequality problems)

So the correct answer is B. x < -8.5

7 0
3 years ago
In the form of a paragraph, explain in complete sentences, your answers to the following questions. Include the final answer in
Yanka [14]
Lisa is an avid runner and is training for a marathon, so she runs everyday to achieve this purpose. In this way, she goes out to run for six days, so we have the following data set regarding the miles she runs:

1st day  = 3.2    miles
2nd day = 7.5    miles
3rd day  = 9.8    miles
4th day  = 11.5  miles
5th day  = 2.9    miles
6th day  = 3.5    miles

<span>Finally, she ran a total of:

3.2+7.5+9.8+11.5+2.9+3.5 = 38.4 miles

</span><span>What was the average distance of each run? 

This result can be get as the sum of each run (or the </span>total of miles she run<span>) divided by the numbers of days she ran.

</span>A=\frac{38.4}{6}=6.4mi

<span>Lisa's goal for this week is to run an average of 6 miles per day. How many miles does she need to run tomorrow (the 7th day) in order to achieve her goal of 6 miles per day for the week?

Let's name x the distance she must run tomorrow. Therefore, the equation for this purpose is given as follows:

</span>\frac{3.2+7.5+9.8+11.5+2.9+3.5+x}{7}=6

∴ \frac{38.4+x}{7}=6

Isolating x:

38.4+x=42

∴ x=42-38.4=3.6

Therefore, she need to run:

\boxed{3.6mi} in order to achieve the goal of 6 miles per day.

4 0
3 years ago
Arletta built a cardboard ramp for
Nostrana [21]

Answer:

525

Step-by-step explanation:

25 x 6 = 150;   150 / 2 =75;   75 x 7 = 525

3 0
3 years ago
49. When a store releases a new cell phone to customers, it expects its sales to decrease by 5% each month after the initial mon
pishuonlain [190]

Answer:

C) f(x)= 682 • 0.95^x

Step-by-step explanation:

The formula for Exponential Decrease is given as:

y = a(1 - r)^x

Where

y = f(x)

a = Initial size of the population = 682

r = Growth rate = 5% = 0.05

x = Time is years

Therefore, our equation can be written as:

f(x) = 682 × (1 - 0.05)^x

f(x) = 682 × (0.95)^x

Therefore, the exponential function that models this situation x months after the initial month is

option C)

f(x) = 682 • 0.95^x

8 0
3 years ago
How do you do this using a graphing calculator?
lesya [120]
Press the button COS( )
Type in the number, close the parentheses
Press Enter (MAKE SURE CALC IN DEGREE MODE)
4 0
3 years ago
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