Ask question

Ask question

All categories

3 years ago

15

During a fourth of July celebration, a cannon is fired upwards from Fort Ontario. The height, h, in feet, of the cannonball abov

e sea level at any given time, t, in seconds, can be determined by the formula h = -16t2 + 120t + 200. Find the height, in feet, of the cannonball above sea level 5 seconds after the cannon is fired.

2 answers:

ANEK [815]3 years ago

7 0

Answer:

400 feet

Step-by-step explanation:

We just need to find h when t = 5. To do so, we can plug t = 5 into the function, which would be:

h = -16t² + 120t + 200

= -16 * 5² + 120 * 5 + 200

= -400 + 600 + 200 = 400 feet

Snowcat [4.5K]3 years ago

3 0

Answer:

h = 400 feet

Step-by-step explanation:

given t = 5 seconds

h = -16t² + 120t + 200

just substitute t = 5

h = -16(5)² + 120(5) + 200

h = 400 feet

You might be interested in

HELP ME!!! Answer in Scientific Notation and explain and show work.

umka21 [38]

Multiplying means you add the exponents and dividing means you subtract the exponents. Treat the decimals as you normally would.
$(4.3 \times {10}^{8} ) \times (2.0 \times {10}^{6} )$
$4.3 \times 2.0 = 8.6$
$8 + 6 = 14$
$8.6 \times {10}^{14}$

$(6 \times {10}^{3} ) \times (1.5 \times {10}^{ - 2} )$
$6 \times 1.5 = 9$
$3 + - 2 = 1$
$9 \times {10}^{1}$

$(1.5 \times {10}^{ - 2} ) \times (8.0 \times {10}^{ - 1} )$
$1.5 \times 8 = 12$
$- 2 + - 1 = - 3$
$12 \times {10}^{ - 3}$

$\frac{(7.8 \times {10}^{3}) }{(1.2 \times {10}^{4}) }$
$\frac{7.8}{1.2} = 6.5$
$3 - 4 = - 1$
$6.5 \times {10}^{ - 1}$

$\frac{(8.1 \times {10}^{ - 2} )}{(9.0 \times {10}^{2} )}$
$\frac{8.1}{9.0} = 0.9$
$- 2 - 2 = - 4$
$0.9 \times {10}^{ - 4}$

$\frac{6.48 \times {10}^{5} }{(2.4 \times {10}^{4} )(1.8 \times {10}^{ - 2}) }$
$2.4 \times 1.8 = 4.32$
$4 + - 2 = 2$
$\frac{6.48 \times {10}^{5} }{4.32 \times {10}^{2} }$
$\frac{6.48}{4.32} = 1.5$
$5 - 2 = 3$
$1.5 \times {10}^{3}$

7 0

3 years ago

Rabies is an often-fatal disease typically transmitted through the bite of an infected animal. The state of Florida has been rec

slega [8]

Answer:

a) 3.6

b) 1.897

c)0.0273

d) 0.9727

Step-by-step explanation:

Rabies has a rare occurrence and we can assume that events are independent. So, X the count of rabies cases reported in a given week is a Poisson random variable with μ=3.6.

a)

The mean of a Poisson random variable X is μ.

mean=E(X)=μ=3.6.

b)

The standard deviation of a Poisson random variable X is √μ.

standard deviation=S.D(X)=√μ=√3.6=1.897.

c)

The probability for Poisson random variable X can be calculated as

P(X=x)=(e^-μ)(μ^x)/x!

where x=0,1,2,3,...

So,

P(no case of rabies)=P(X=0)=e^-3.6(3.6^0)/0!

P(no case of rabies)=P(X=0)=0.0273.

d)

P(at least one case of rabies)=P(X≥1)=1-P(X<1)=1-P(X=0)

P(at least one case of rabies)=1-0.0273=0.9727

8 0

3 years ago

Rational numbers are _____ natural numbers. A) always. B) sometimes. C) never

erma4kov [3.2K]

Rational numbers are B. sometimes natural numbers. Another way to say rational numbers is fractions. Natural numbers are just regular positive and whole integers, such as 1, 2, 3, etc.

6 0

3 years ago

Read 2 more answers

Combine the like terms to create an equivalent expression:<br> -2x-x+8

lara31 [8.8K]

Answer:

-3x+8

Step-by-step explanation:

-2x-x+8=

-3x+8

7 0

2 years ago

Experts/ace/geniuses

ASHA 777 [7]

B,D is the answer for your question

7 0

3 years ago

Read 2 more answers