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2 years ago

5. During the eruption of Mount St. Helens in 1980. debris was ejected at a speed of over 440 feet per second

Mathematics

1 answer:

skelet666 [1.2K]2 years ago

7 0

Answer:

3500 ft

Step-by-step explanation:

We assume you intend the equations to be ...

$y(t)=-16t^2+425t+8200\\x(t)=113t$

Then we can solve the second equation for t and use that in the first equation. We can solve the first equation for y=6000.

x = 113t

t = x/113

y(t) = y(x/113) = -16(x/113)² +425(x/113) +8200 = 6000

(16/12769)x² -(425/113)x -2200 = 0 . . . . . . subtract 6000, multiply by -1

Using the quadratic formula, the positive solution is ...

x = ((425/113) +√((-425/113)² -4(16/12769)(-2200))/(2(16/12769))

The fraction in the denominator can be inverted and used as a multiplier. We also use a√b = √(a²b) to simplify the radical.

x = (48025 +√4104275825)/32

x ≈ 3502.8

Rock was thrown about 3500 feet horizontally.

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Each of the students at piano recital takes about 8 3/4 minutes to introduce themselves and play 3 songs. There are 9 students p

Tomtit [17]

For this case we have that each student takes 8 \ frac {3} {4} minutes to perform and play 3 songs. Then, we convert the mixed number to a fraction:

$8 \frac {3} {4} = \frac {4 * 8 + 3} {4} = \frac {32 + 3} {4} = \frac {35} {4}$

Thus, each student takes $\frac {35} {4}$ minutes.

If there are 9 students in the recital then we have:

$9 * \frac {35} {4} = \frac {315} {4} = 78.75$ minutes.

Thus, the recital lasts at least 78.75 minutes.

Answer:

The recital lasts at least 78.75 minutes.

5 0

3 years ago

How much would it be worth in 5, 10, 20 years

pochemuha

Answer:

$675

$850

$1200

Step-by-step explanation:

Use formula for simple interest:

A = P (1+rt)

where

A = accrued amount (principal + interest) = what we want to find

P = Principal (initial) amount = Given as $500

r = rate of interest = Given as 7% = 0.07

t = time

For 5 years, t = 5

A = 500 [ 1 + 0.07(5) ] = $675

For 10 years, t = 10

A = 500 [ 1 + 0.07(10) ] = $850

For 20 years, t = 20

A = 500 [ 1 + 0.07(20) ] = $1200

8 0

2 years ago

The positive acute angle formed by the _____ side of an angle in standard position and the x-axis is called a reference angle.

Helga [31]

Answer:

option-C

terminal

Step-by-step explanation:

We know that

reference angle is between terminal side and x-axis

so, the other side will be terminal position

so, we can write as

The positive acute angle formed by the <u>terminal</u> side of an angle in standard position and the x-axis is called a reference angle.

So,

option-C

terminal

7 0

3 years ago

please help meeee !!!

Len [333]

Answer:

D or A

Step-by-step explanation:

Hope this helps

7 0

2 years ago

Read 2 more answers

Please help

katrin2010 [14]

$\dfrac{n^2+3n+2}{n^2+6n+8}-\dfrac{2n}{n+4}\\\\=\dfrac{n^2+2n+n+2}{n^2+4n+2n+8}-\dfrac{2n}{n+4}\\\\=\dfrac{n(n+2)+1(n+2)}{n(n+4)+2(n+4)}-\dfrac{2n}{n+4}\\\\=\dfrac{(n+2)(n+1)}{(n+2)(n+4)}-\dfrac{2n}{n+4}\\\\=\dfrac{n+1}{n+4}-\dfrac{2n}{n+4}=\dfrac{n+1-2n}{n+4}=\dfrac{1-n}{n+4}$

$Answer:\ \boxed{B.\ \dfrac{1-n}{n+4}}$

7 0

2 years ago