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11111nata11111 [884]
3 years ago
13

A projectile was launched straight up from the ground with an initial velocity of 48 ft/s. The height of the projectile t second

s after launch is modeled by the function f(t)=−16t2+48t
How long was the projectile in the air before it hit the ground?



3 seconds


4 seconds


5 seconds


6 seconds
Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
7 0
Your answer should be 6 seconds
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suppose that eight terms of a wire are wrapped around a pipe with a length of 60 in and a circumference of 4 inches so that the
EastWind [94]
The length of the wire is the length of the hypotenuse of a triangle with one leg 60 inches and the other leg 8*4 in = 32 inches.

√(60² +32²) = √4624 = 68

The wire is 68 inches long.

_____
Consider what happens if you wrap a paper triangle of those dimensions around the pipe. The hypotenuse edge traces the path of the wire.
4 0
3 years ago
In an auditorium, the first row of seats has 30 seats. each row behind the first row has 4 more seats then the row in front of i
Alexeev081 [22]

Answer:

126

Step-by-step explanation:

Row 1: 30+0*4

Row 2: 30+1*4

Row 3: 30+2*4

...

The list goes on. Do you see a pattern here? If we call the row number as r, the formula is 30+(r-1)*4. In the 25th row, the r is 25. So in the formula, it is 30+(25-1)*4=30+24*4=126.

I hope that helped.

4 0
3 years ago
What is the EQUATION of the line PERPENDICULAR to y=-2x+5 and passing through the point (0,2)?
KonstantinChe [14]

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

The required equation is ~

\boxed{ \sf{y =  \frac{x}{2} + 2 }}

\large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}

Let's find the slope of given line ~

  • y =  - 2x + 5

comparing it with general slope - intercept form of line (y = mx + c) we get, m = -2 (that is slope of the line)

let the slope of the required line be n

And, now since the required line Is perpendicular to the given line. the product of their slopes is -1

that is ~

  • - 2 \times n =  - 1

  • n = \dfrac{ - 1}{ - 2}

  • n =  \dfrac{1}{2}

slope of required line is ~ 1/2

now, let's use the point - slope form of line to find the equation of required (perpendicular) line (using point (0 , 2) ~

that is ~

  • y - y_1 = m(x - x_ 1)

here, m = slope ~

  • y - 2 =  \dfrac{1}{2} (x - 0)

  • y - 2 =  \dfrac{x}{2}

  • y =  \dfrac{x}{2}  + 2

I hope it helps ~

4 0
2 years ago
Ray picked 30 apples and put them equally into 3 baskets. Then he ate two of the apples in a basket
Llana [10]
Now he has 28 apples left. 
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3 years ago
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Harper is a salesperson who sells computers at an electronics store. She makes a base pay amount of $100 per day regardless of s
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Answer:

100x-p*1%

Step-by-step explanation:

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