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Brums [2.3K]
3 years ago
15

A skydiver jumps from an airplane at an altitude of 2,500 ft. He falls under the force of gravity until he opens his parachute a

t an altitude of 1,000 ft. Approximately how long does the jumper fall before he opens his chute? For this quadratic model we will let the y-axis be the axis of symmetry.
Mathematics
2 answers:
Stolb23 [73]3 years ago
6 0

Answer:

9.7 seconds to the nearest tenth.

Step-by-step explanation:

He falls for a distance of 1,500 ft.

We use the equation of motion  s = 1/2 * 32 * t^2   where s = distance and t = time.

1500 = 16 * t^2

t^2  = 93.75

t =  9.7 seconds answer.

vichka [17]3 years ago
5 0

Answer:

9.7

Step-by-step explanation:

minus 1,000 ft (the height he opened his parachute) from 2,500 (the height of which he started)

This will give you the distance of his fall

1,500 ft.

Then, use the equation of motion which is s = 1/2 * 32 * t^2  

where s represents distance and t is time

1500 = 16 * t^2

t^2  = 93.75

Then simply round to the nearest tenth and it will be on the test :)

I really just ignored the equation it gives to solve it sorry.

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Secant RM intersects secant RN at point R. Find the length of RQ. If necessary, round to the hundredths place.
QveST [7]

Answer:

3 Units

Step-by-step explanation:

Secant RM intersects secant RN at point R.

The secants intersects the circle at points P and Q respectively as seen in the diagram.

To determine the length of RQ, we use the Theorem of Intersecting Secants.

Applying this on the diagram, we have:

RP x RN=RQ X RM

4(4+5)=RQ(RQ+9)

Let the length of RQ=x

4*9=x^2+9x\\36=x^2+9x\\x^2+9x-36=0\\x^2+12x-3x-36=0\\x(x+12)-3(x+12)=0\\(x+12)(x-3)=0\\x+12=0$ x-3=0\\x=-12 or x=3\\Since x cannot be negative$\\x=|RQ|=3

Therefore, length of RQ=3 Units

7 0
2 years ago
Identify the expression with nonnegative limit values. More info on the pic. PLEASE HELP.
marshall27 [118]

Answer:

\lim _{x\to 2}\:\frac{x-2}{x^2-2}\\\\  \lim _{x\to 11}\:\frac{x^2+6x-187}{x^2+3x-154}\\\\ \lim _{x\to \frac{5}{2}}\left\frac{2x^2+x-15}{2x-5}\right

Step-by-step explanation:

a) \lim _{x\to 3}\:\frac{x^2-10x+21}{x^2+4x-21}=\lim \:_{x\to \:3}\:\frac{\left(x-7\right)\left(x-3\right)}{\left(x+7\right)\left(x-3\right)}=\lim \:_{x\to \:3}\:\frac{x-7}{x+7}=\frac{3-7}{3+7}=-\frac{4}{10}=-\frac{2}{5}

b) \lim _{x\to -\frac{3}{2}}\left(\frac{2x^2-5x-12}{2x+3}\right)=\lim \:_{x\to -\frac{3}{2}}\:\frac{\left(2x+3\right)\left(x-4\right)}{\left(2x+3\right)}=\lim \:\:_{x\to \:-\frac{3}{2}}\:\left(x-4\right)=-\frac{3}{2}-4\\ \\ \lim _{x\to -\frac{3}{2}}\left(\frac{2x^2-5x-12}{2x+3}\right)=-\frac{11}{2}

c) \lim _{x\to 2}\:\frac{x-2}{x^2-2}=\frac{2-2}{\left(2\right)^2-2}=\frac{0}{4-2}=0

d) \lim _{x\to 11}\:\frac{x^2+6x-187}{x^2+3x-154}=\lim _{x\to 11}\:\frac{\left(x-11\right)\left(x+17\right)}{\left(x-11\right)\left(x+14\right)}=\lim _{x\to 11}\:\frac{\left(x+17\right)}{\left(x+14\right)}=\frac{11+17}{11+14}=\frac{28}{25}

e) \lim _{x\to 3}\:\frac{x^2-8x+15}{x-3}=\lim \:_{x\to \:3}\:\frac{\left(x-3\right)\left(x-5\right)}{x-3}=\lim _{x\to 3}\left(x-5\right)=3-5=-2

f) \lim _{x\to \frac{5}{2}}\left(\frac{2x^2+x-15}{2x-5}\right)=\lim \:_{x\to \:\frac{5}{2}}\frac{\left(2x-5\right)\left(x+3\right)}{2x-5}=\lim \:\:_{x\to \:\:\frac{5}{2}}\left(x+3\right)=\frac{5}{2}+3=\frac{11}{2}

4 0
3 years ago
Opposite reciprocal of 1/3
luda_lava [24]

Answer:

-1/3

Step-by-step explanation:

hope this helps

3 0
3 years ago
Read 2 more answers
Answer with Explanation please! Thank you!
Anna [14]

Answer:

The answer is D.

Step-by-step explanation:

First you have to get rid of brackets by expanding :

3 {q}^{2}  +  {r}^{3}  + 5r - 8q + 2( {q}^{2}  + r)

= 3 {q}^{2}  +  {r}^{3}  + 5r - 8q + 2 {q}^{2}  + 2r

Next you have to simplify by collecting like terms :

{r}^{3} +  3 {q}^{2}  + 2 {q}^{2}  + 5r + 2r - 8q

=  {r}^{3}  + 5 {q}^{2}  - 8q + 7r

6 0
3 years ago
Read 2 more answers
IMPORTANT! WILL VOTE BRAINLIEST!!!
nikdorinn [45]

Answer:

The value of the ve = 9m/sec

Step-by-step explanation:


From the given formula, it can be conclude that this is evenly accelerated movement.

First I will rewrite given formula

vi = √ ve∧2 - 2ad   First we will square on both sides and get

vi∧2 = ve∧2 - 2ad Now we will add monom (+2ad) to both sides and get

vi∧2 + 2ad = ve∧2 -2ad + 2ad =>

ve∧2 = vi∧2 +2ad  Now we will rooted both sides and get

ve = √vi∧2 + 2ad  

Now we will replace given data vi=7m/sec, a=8m/s∧2 and d=2m in the last formula

ve= √7∧2 + 2*8*2 = √49+32 = √81 = 9

ve= 9m/sec

Good luck!!!



7 0
3 years ago
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