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3 years ago

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A fly-fishing line is cast in a parabolic motion with an initial velocity of 30 meters per second at an angle of 60° to the hori

zontal and an initial height of 1 meter. The following parametric equations represent the path of the end of the line: x(t) = (30cos(60°))t and y(t) = -9.812 + (30sin(60°))t + 1 Graph the parametric equations to complete the statements.
1. To the nearest meter, the line travels a horizontal distance of_____

A. 2.6
B. 18
C. 20
D. 40

2. To the nearest tenth of a second, the end of the line reaches its maximum height after_____ seconds.

A. 1.3
B. 2.6
C. 18.2
D. 40.0

2 answers:

drek231 [11]3 years ago

8 0

Answer:

1. 40

2. 1.3

Step-by-step explanation:

edge :)

uysha [10]3 years ago

8 0

Answer:

here ya go!

Step-by-step explanation:

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A store keeper buys a fishing rod for $20 and sells it for $5 more than he bought it for. express this profit or gain as a perce

nataly862011 [7]

25/20 × 100% = 125%

125% - 100% = 25%

25% profit :)

5 0

4 years ago

Which inequality correctly orders the numbers -5,-3, and 2 from greatest to least?

lozanna [386]

Answer:

1) 2 > -3 > -5

Step-by-step explanation:

that is mathematically correct

8 0

3 years ago

Read 2 more answers

If the units for x are years, and x = 5 represents the year 2015, what is the y-value for 2010?

Darya [45]

<u>Given</u>:

The given graph passes through the points (-3,4) and (3,2)

The x - axis represents the years. The value x = 5, year 2015.

We need to determine the y - value for 2010.

<u>Slope</u>:

The slope of the line can be determined using the formula,

$m=\frac{y_2-y_1}{x_2-x_1}$

Substituting the points (-3,2) and (3,2), we get;

$m=\frac{2-4}{3+3}$

$m=\frac{-1}{3}$

Thus, the slope of the line is $m=\frac{-1}{3}$

<u>y - intercept:</u>

The y - intercept in the graph is the point in the line that crosses the y - axis.

Thus, from the graph, it is obvious that the y - intercept is b = 3.

<u>Equation of the line:</u>

The equation of the line can be determined using the formula,

$y=mx+b$

Substituting the values, we have;

$y=-\frac{1}{3}x+3$

Thus, the equation of the line is $y=-\frac{1}{3}x+3$

<u>The y - value for 2010:</u>

Since, it is given that x = 5 represents 2015 and 2010 is 5 years before 2010.

Hence, the value of x for 2010 is given by

$x=5-5=0$

Thus, x = 0 represents the year 2010.

To determine the y - value, let us substitute x = 0 in the equation $y=-\frac{1}{3}x+3$ , we have;

$y=-\frac{1}{3}(0)+3$

$y=3$

Thus, for 2010 the value of y is 3.

5 0

3 years ago

A real estate broker's base salary is $18,000. She earns a 4% commission on total sales. How much must she sell to earn $55,000

evablogger [386]

The salary of the real estate broker = $18,000

Commission earned on total sales = 4% or 0.04

Total income earnings = $55,000

Let the total sales be = x

Equation becomes :

$18000+0.04x=55000$

$0.04x=55000-18000$

$0.04x=37000$

$x=925000$

Hence, the real estate broker must sell $925,000 worth of real estate to earn $55,000.

6 0

3 years ago

If you start with 85 milligrams of Chromium 51, used to track red blood cells, which

zysi [14]

About 92 days are taken for 90 % of the material to <em>decay</em>.

The mass of radioisotopes ( $m$ ), measured in milligrams, decreases exponentially in time ( $t$ ), measured in days. The model that represents such decrease is described below:

$m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }$ (1)

Where:

$m_{o}$ - Initial mass, in milligrams.
$m(t)$ - Current mass, in milligrams.
$\tau$ - Time constant, in days.

In addition, the time constant is defined in terms of half-life ( $t_{1/2}$ ), in days:

$\tau = \frac{t_{1/2}}{\ln 2}$ (2)

If we know that $m_{o} = 85\,mg$ , $t_{1/2} = 27.7\,d$ and $m(t) = 8.5\,mg$ , then the time required for decaying is:

$\tau = \frac{t_{1/2}}{\ln 2}$

$\tau = \frac{27.7\,d}{\ln 2}$

$\tau \approx 39.963\,d$

$t = -\tau \cdot \ln \frac{m(t)}{m_{o}}$

$t = -(39.963\,d)\cdot \ln \frac{8.5\,mg}{85\,mg}$

$t\approx 92.018\,d$

About 92 days are taken for 90 % of the material to <em>decay</em>.

We kindly invite to check this question on half-life: brainly.com/question/24710827

8 0

2 years ago