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Plssssss help fast!!!!Launching From a Tower

aleksandrvk [35]

Answer:

A. h = 64

B. t = 4 -> 4 seconds

C. t = 1.5 -> 1.5 seconds

D. maximum height is 100 ft

E. The domain that makes sense for the function in this context is t

is any positive real number since time can not be negative.

Step-by-step explanation:

h = -16t2 + vt + 64

A. What tower platform height was the projectile launched from?

when the projectile was not launched, t = 0

h = -16(0)^2 + v(0) + 64 = 64

B. How long was the projectile in the air?

if the projectile lands, its height = 0 so substitute 0 for h

0 = -16(t)^2 + 48(t) + 64

= -16(t^2 - 3t - 4)

= -16(t - 4)(t + 1)

t = 4 or t = -1

Since time can not be negative, t = -1 can not be the answer. Therefore, the projectile lands when t = 4 or 4 seconds.

C. When did it reach its maximum height?

maximum -> t=-b/2a where in -16(t)^2 + 48(t) + 64, b = 48 and a = -16

t = -48/-32 = 1.5

D. What was its maximum height?

plug t = 1.5 into -16(t)^2 + 48(t) + 64

-16(1.5)^2 + 48(1.5) + 64 = -36 + 72 + 64 = 100

E. The domain that makes sense for the function in this context is t

is any positive real number since time can not be negative.

6 0

2 years ago

There are 56 trees in an apple orchard. They are arranged in equal rows. There are 8 trees in each row. How many rows of apple t

Amiraneli [1.4K]

56 ÷8=7

Hope it helped

8 0

3 years ago

Read 2 more answers

According to the National Center for Health Statistics, in 1990, 28% of babies in the United States were born to parents who w

svlad2 [7]

Answer:

The year is $b = 1995$

Step-by-step explanation:

From the question we are told that

The percentage of the number of babies born out of wedlock in 1990 is k = 28%

The percentage by which the number increase per year is i = 0.6%

The percentage of of the number of babies born out of wedlock considered is a = 31%

Generally the difference in between the percentage in 1990 and the percentage considered is

$d = a - k$

=> $d = 31 - 28$

=> $d = 3\%$

Generally the number of year require for the percentage to be equal to 31% is mathematically represented as

$n = \frac{3\%}{0.6\%}$

=> $n = 5\ years$

Generally the year which the considered percentage will be attained is

$b = 1990 + n$

=> $b = 1990 + 5$

=> $b = 1995$

6 0

3 years ago

When the absolute value of slope gets bigger the graph of the line gets ???

nekit [7.7K]

The slope of a line is defined as rise by run i.e.
how much y value changes with respect to the
change in × value. So the slope gives the
steepness of the line.
Slope O indicates there is no change in y when
the x value is changed and so the line with
slope 0 is a horizontal line. A line with slope 1
shows with 1 unit change in ×, y changes by 1
unit. Likewise slope equal 2 indicates with 1 unit
change in ×, y changes by 2 units.
We can see as the absolute value of slope is
increasing, the change in y with respect to x is
increasing i.e. the line is becoming more tilted or
steep.
Hence, we can conclude that:
The graph of a line gets Steeper as the absolute
value of the slope gets bigger.
C is the correct answer.

8 0

2 years ago

To the nearest tenth, which is the perimeter of ABC?

Dovator [93]

Answer:

Step-by-step explanation:

BC = 20sin(61°) ≅17.5

AC = 20cos(61°) ≅ 9.7

perimeter = 20+17.5+9.7 = 47.2

7 0

3 years ago