All categories

2 years ago

Question 2 of 4

Mathematics

1 answer:

Alexxandr [17]2 years ago

8 0

Answer:

The time it took for the bottle rocket to reach a height of 200 feet is 60 seconds.

Step-by-step explanation:

The function for the height of the bottle rocket (in feet), t seconds after it is launched is:

$h(t)=1157-16\ t$

Compute the value of t as follows:

$h(t)=1157-16\ t$

$200=1157-16t$

$16t=1157-200\\16t=957\\$

$t=59.8125\\t\approx60$

Thus, the time it took for the bottle rocket to reach a height of 200 feet is 60 seconds.

You might be interested in

Look at pic 10 pts will mark brainilest

MissTica

Answer:

The answer is B or 8

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Please help! A is not -3 as I’ve seen some answer with that.

Arte-miy333 [17]

Answer:

a) x = 5

b) x = 4

Step-by-step explanation:

a) $\frac{3x+4}{2}$ = 9.5

3x+4 = 9.5(2)

3x = 19-4

x = 15/3

x = 5

b) $\frac{7+2x}{3}$ = 5

7+2x = 5(3)

2x = 15-7

x = 8/2

x=4

6 0

2 years ago

It is given that y varies inversely as x^2. If x is decreased by 50%, find the percentage change in y.

vova2212 [387]

Answer:

300%

Step-by-step explanation:

Given

$y\ \alpha\ \frac{1}{x^2}$

Required

Find the percentage change in y when x decreased by 50%

First, convert to equation

$y\ = \ \frac{k}{x^2}$

Where k is the constant of proportionality

When x decreased by 50%

$Y = \frac{k}{(x - 0.5x)^2}$

$Y = \frac{k}{(0.5x)^2}$

$Y = \frac{k}{0.25x^2}$

Expand

$Y = \frac{1}{0.25} * \frac{k}{x^2}$

Substitute $\frac{k}{x^2}$ for y

$Y = \frac{1}{0.25} * y$

$Y = 4 * y$

$Y = 4 y$

The percentage change is then calculated as:

$\%Change = \frac{Y - y}{y} * 100\%$

$\%Change = \frac{4y - y}{y} * 100\%$

$\%Change = \frac{3y}{y} * 100\%$

$\%Change = 3 * 100\%$

$\%Change = 300\%$

The percentage in y is 300%

7 0

2 years ago

Gabe likes to draw monsters. Each monster he draws had 8 eyes he draws 4 monsters. How many eyes do the monsters have in all ?

Eduardwww [97]

Answer:

The answer is 32

Step-by-step explanation:

8x4=32

5 0

3 years ago

TenCo's junior tennis rackets has fixed costs of $740,000.00. The selling price per racket is $77.59. The variable cost per rack

mamaluj [8]

B = F / (S-C)

B - breaking point in units
F - fixed costs, S - selling price, C - cost per racket.
S-C is the profit on a single unit

B = 740000 / (77.59 - 39.72) = 19540.53

The breaking point is approached after selling 19541 units.

8 0

2 years ago