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3 years ago

Need this asap pleaseeeee

Mathematics

1 answer:

Alex787 [66]3 years ago

8 0

Answer:

615.6

Step-by-step explanation:

14 to the power of 2 is 196

196 multiplied by pi is 615.6

Hope this helps!

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Two boats depart from a port located at (–8, 1) in a coordinate system measured in kilometers and travel in a positive x-directi

miss Akunina [59]

Answer:

$\left\{\begin{array}{l}y=-\dfrac{1}{9}x^2 +\dfrac{2}{9}x+\dfrac{89}{9}\\ \\y=\dfrac{1}{8}x^2 -7\end{array}\right.$

Step-by-step explanation:

1st boat:

Parabola equation:

$y=ax^2 +bx+c$

The x-coordinate of the vertex:

$x_v=-\dfrac{b}{2a}\Rightarrow -\dfrac{b}{2a}=1\\ \\b=-2a$

Equation:

$y=ax^2 -2ax+c$

The y-coordinate of the vertex:

$y_v=a\cdot 1^2-2a\cdot 1+c\Rightarrow a-2a+c=10\\ \\c-a=10$

Parabola passes through the point (-8,1), so

$1=a\cdot (-8)^2-2a\cdot (-8)+c\\ \\80a+c=1$

Solve:

$c=10+a\\ \\80a+10+a=1\\ \\81a=-9\\ \\a=-\dfrac{1}{9}\\ \\b=-2a=\dfrac{2}{9}\\ \\c=10-\dfrac{1}{9}=\dfrac{89}{9}$

Parabola equation:

$y=-\dfrac{1}{9}x^2 +\dfrac{2}{9}x+\dfrac{89}{9}$

2nd boat:

Parabola equation:

$y=ax^2 +bx+c$

The x-coordinate of the vertex:

$x_v=-\dfrac{b}{2a}\Rightarrow -\dfrac{b}{2a}=0\\ \\b=0$

Equation:

$y=ax^2+c$

The y-coordinate of the vertex:

$y_v=a\cdot 0^2+c\Rightarrow c=-7$

Parabola passes through the point (-8,1), so

$1=a\cdot (-8)^2-7\\ \\64a-7=1$

Solve:

$a=-\dfrac{1}{8}\\ \\b=0\\ \\c=-7$

Parabola equation:

$y=\dfrac{1}{8}x^2 -7$

System of two equations:

$\left\{\begin{array}{l}y=-\dfrac{1}{9}x^2 +\dfrac{2}{9}x+\dfrac{89}{9}\\ \\y=\dfrac{1}{8}x^2 -7\end{array}\right.$

7 0

4 years ago

Read 2 more answers

Stacy hiked to a famous point with a beautiful view. It took 2 hours and 25 minutes to hike to the viewpoint and 20 minutes to h

lisabon 2012 [21]

I’m pretty sure it would be 9:40 when she started

6 0

3 years ago

NEED THE ANSWER NOW!

natulia [17]

Boil in shakes. Jumpy one yaownwj native yjwokwn yen’s I is Jan kajwcappinh

4 0

3 years ago

Yvonne put $4,00 in a savings account. At the end of three years, the account had earned $960 in simple interest.

julsineya [31]

Important variables to know:

I = interest
P = principal (investment)
R = simple interest rate
T = years

Formula: I = PRT

What information do we have?
I = $960
P = $4000
T = 3 years
R = ?

Plug into formula:

960 = 4000(3)(R)
960 = 12000R
R = 960/12000
R = .08

A. $4000 + $960 = $4960. (A= P+ I)
B. 8% (.08)

Part 2: 1080 = 4000*.09*3
A = 5080 - 4960 =$420.

7 0

4 years ago

PLZ HELP WORTH A LOT OF POINTS AND I HAVE 10 MINUTES!!!!

Lina20 [59]

Answer:

The area after 9 years will be 1,234 km^2

Step-by-step explanation:

In this question, we are tasked with calculating what the area of a certain forest that decreases at a certain percentage would be after some years.

To answer this question, we shall be using an exponential approximation.

Now, to use this exponential approximation, we shall be needing a supporting exponential mathematical equation.

This can be written as;

A = I(1-r)^t

where A is the new area we are looking for

I is the initial area which is 1700 according to the question

r is the rate of decrease which is 3.5% = 3.5/100 = 0.035

t is time which is 9 years according to the question

We plug these values and have the following;

A = 1700(1-0.035)^9

A = 1700(0.965)^9

A = 1,233.66

This is 1,234 km^2 to the nearest square kilometer

5 0

3 years ago