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gladu [14]
2 years ago
12

An ice sculpture measures 65 inches and melts continuously by 3% per minute. Find the height of a sculpture after 15 minutes. Ro

und your answer to the nearest inch.
Mathematics
1 answer:
Valentin [98]2 years ago
3 0
This is a geometric sequence where r is 0.97 (decreasing by 3% every minute leaving 97%
a = 65
n = 15 (each minute is a term and we are looking after 15 min)
a(n) = ar^(n-1)
a(15) = 65(0.97)^(15-1)
a(15) = 42 inches
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Please help
Schach [20]

Answer:

Hence, option: B is correct (11.02 seconds)

Step-by-step explanation:

Spencer hits a tennis ball past his opponent. The height of the tennis ball, in feet, is modeled by the equation h(t) = –0.075t2 + 0.6t + 2.5, where t is the time since the tennis ball was hit, measured in seconds.

Now we are asked:

How long does it take for the ball to reach the ground?

i.e. we have to find the value of t such that height is zero i.e. h(t)=0.

-0.075t2+0.6t+2.5=0

or 0.075t^2-0.6t-2.5=0

i.e. we need to find the roots of the above quadratic equation.

on solving the equation we get two roots as:

t≈ -3.02377 and t≈11.0238

As time can't be negative; hence we will consider the value of t as t≈11.0238.

Hence it takes 11.02 seconds for the ball to reach the ground.

Hence option B is correct (11.02 seconds).

7 0
3 years ago
Read 2 more answers
Given that the length and width of a square is 4mm, what would the area be?
patriot [66]

Answer:

16mm

Step-by-step explanation:

Area= length x width

4mm x 4mm

=16mm

6 0
3 years ago
Solve for d.<br> d+ 4 = 16.21<br> d=
lutik1710 [3]

Answer:

d = 12.21

Step-by-step explanation:

1) Subtract 4 from both sides.

d = 16.21 - 4

2) Simplify 16.21 - 4 to 12.21.

d = 12.21

Check the answer!

⇒ d + 4 = 16.21

1. Let d = 12.21.

⇒ 12.21 + 4 = 16.21

2. Simplify 12.21 + 4 to 16.21

16.21 = 16.21

Done!

Thanks,

Eddie

8 0
1 year ago
Is 0.912 or 0.950 greater
pochemuha
<span>0.950. Hope this helps. :)</span>
5 0
3 years ago
Read 2 more answers
the first Indianapolis 500 auto race took place in 1911. the winning car covered the 500 miles in 6.7 hours. what was the winnin
Vesna [10]

Average speed = (distance covered) / (time to cover the distance)

                         =        (500 miles)      /    (6.7 hours)

                         =            (500 / 6.7)  (mile/hour)

                         =                    74.63 miles per hour.

I imagine there were quite a number of pit stops included in that.

This is faster than I expected when I first read your question.
That's really gettin' with it for cars in 1911 !

4 0
3 years ago
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