Question 10 options:
A marine biologist is researching the population density of dolphins. The marine biologist counts 175 dolphins within a radius of 2.5 miles of a half-circle off of Clearwater Beach.

What is the population density of the dolphins?

Use 3.14 for pi, and round to the nearest whole number.

Answers

Answer 1

Answer:

Density = 9 dolphins / mi^2 This is the result.

Step-by-step explanation:

Number of dolphins = 175

Radius = 2.5 mi

1. - Calculate the area

Area = pi* r^2

Area = 3.14*2.5^2

Area = 3.14*6.25

Area = 19.625 mi^2

2. - Calculate the density

density = dolphins/mi^2

- Substitution

density = 175 / 19.625

Result

density = 8.9 dolphins/mi^2

Rounding to the nearest whole number

Density = 9 dolphins / mi^2

Answer 2

Answer:

Area of half circle = 1/2 x π x r^2

= 1/2 x 3.14 x 2.5^2

= 9.8125 miles²

For the density divide the number of dolphins by the area:

Density =population/area= 175/9.8125 = 17.83 dolphins/mile²

the population density of the dolphins is 18dolphin/miles²


Related Questions

On circle O below, the measure of SV is 120°.


What is the measure of VU?

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Answer: Angle VU is 44 degrees

Step-by-step explanation:

Algebra 2!! What is the domain of the function graphed below?

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Answer:

(-infinity,+infinity)

Step-by-step explanation:

Domain refers to the x-axis. So if we look from left to right along the x-axis we could conclude that the function will go infinitley from negative infinite to positive infinity.

what's 100,994 rounded to the nearest 100?

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Answer: 101000

Step-by-step explanation: It would be rounded to 101000 because the nearest 100 would be a 1000.

Answer: 111,000 because when you round 994 you get a thousand because that’s the next hundred so you get 111,000

Step-by-step explanation:

Evaluate the expression:
(-1/7)^0

Please show work


A) -1/7

B) 0

C) 1/7

D) -1

E) 1

F) None of These

Answers

Answer:

The answer is E) 1

Step-by-step explanation:

can you make me brainliest please

Andy is buying a car he negotaited a 7% descrease on £6500 car. he will pay the full balance in 12 equal monthly payments.

Answers

Answer:

he would pay 503.75 every month

Step-by-step explanation:

Find the quotient
6 1/2 divided by 3/4

Answers

Answer:

8 2/3

Step-by-step explanation:

First, we turn 6 1/2 into an improper fraction, which is 13/2. Now, we can write this out as: 13/2  divided by 3/4. When dividing fractions, you reverse the sign to multiplication and you flip the numerator and the denominator of the second number. So, in this case, it would be 13/2 TIMES 4/3 which now we can do! 13*4 is 52 and 2*3 is 6. 52/6 is a number we can simplify. We can divide out a 2, so 52/2 is 26 and 6/2 is 3. 26/3 can be put into a mixed number. 3 goes into 26, 8 times and there is a 2 left over. So our final answer is 6 2/3.

If f(a)=4a-5 what is f(3)-f(1.25)
a. -8
b. 7
c. 17
d. 32

Answers

c)17

Step-by-step explanation:

PLEASE HELP

What statement best describes the relation ship in the graph below


A. The relationship is a function because of all the y -values are positive

B. The relationship is not a function because the graph does not pass through the point (0,0)

C. The relationship is a function because each x -value has exactly one corresponding y -value

Answers

The answer is b hope it helps


A sector of a circle has an area of 263.42cm and the area of the entire circle has an area of 563.24cm? What is the central angle of the
sector described?

Answers

Answer:

168

Step-by-step explanation:

168 is  the ans is 100% correct

(hope this helps can i plz have brainlist :D hehe)

24 times *blank* =6

Someone please answer this I need help

Answers

Answer:

0.25

Step-by-step explanation:

0.25 x 24 = 6

If electricity comes from electrons, does morality come from morons?

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Answer:

AHAHAHAHA

Step-by-step explanation:

nope LOL

Answer:

gftrtrtgfrtrftgtrgty

Step-by-step explanation:

fgrtfgtrfggtrfgtrfgtrfgtrfgytrfgtrfgtr

Help needed thanx!!!!

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Answer:

all quadrilaterals have 4 sides

Pls mark as brainliest

Answer:

C

Step-by-step explanation:

Because all quadrilaterals have four sides. Like for example a square and a parallelogram both have 4 sides.

Serge was curious if a sample third quartile was an unbiased estimator of a population third quartile. He started with a large normally distributed population of test scores whose third quartile was Q3=80 points. He then took a random sample of 6 tests and calculated the third quartile of the sample. He replaced those tests and repeated this process for a total of 40 trials. His results are summarized in the dot plot below, where each dot represents the third quartile from a sample of 6 tests.

Answers

Answer:

Sample third quartile appears to be an unbiased estimator of the population third quartile.

Step-by-step explanation:

khan

PLEASE HELP WILL MARK BRAINLIEST!
Steve uses an app that shows him how many Kilometers he has run to prepare for a marathon. The app store said he ran 6.436 Kilometers. He wants to post online how many miles he ran. Steve ran_______miles.

Answers

Your answer would be 3 miles! I hope this helps, have a great day!

PLEASE HELP ASAP!!
Solve for x.

Answers

x=4 and that it's the answer

Help i don't know what to do I will give brainiest

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Answer:

Her starting average was 66

it decreased by 7

her final average was 71

Step-by-step explanation:

i think

Answer:

a. 78

b. decreased by 7 points

c. 83 points

Step-by-step explanation:

Calculate the slope of the line that passes through (2,5) and (12, 10). Reduce answer to lowest terms if necessary.

Answers

Answer:

1/2

Step-by-step explanation:

Slope equation:

y2 - y1

--------

x2 - x1

-----------------------------------------------------------------------------------------------------------------

10 - 5         5.        1

--------  =    ---- =  ------

12 - 2         10       2

Hope this helps!

Answer:1/2 Step-by-step explanation:

Solve y =-2x
y = 3x + 5
by using substitution method

Answers

Answer:

y = -2x

y = 3x + 5

<=> 3x + 5 = -2x

y = -2x

<=> 5x = -5

y = -2x

<=> x = -1

y = -2x

<=> x = -1

y = (-2)(-1) = 2

so (x; y) = (-1; 2)

Paige mows 1/4 acres in a 1/2 hour. How many acres does page mow per hour?

Answers

Page mows 0.5 acres per hour.

Answer:

2/3 acres per hour.

Which of the following number lines represents the inequality below?

Answers

Answer:

B

Step-by-step explanation:

The circle has to be hallow in order for it to be greater than or less than. The arrow is going below 4 because the circle is on 4 and the arrow is pointing to the left side.

Answer:

B

Step-by-step explanation:

it shows all the numbers less than four while the others show numbers greater than 4

WILL GIVE BRAINLIEST!
Find two consecutive even integers such that four times the first equals three times the second. (Enter your answers as a comma-separated list.)

Answers

Answer:

This is complicated

Step-by-step explanation:

UHM

what is y= -3x + 4 what does y equal

Answers

Please don’t try searching up that link the same person did the same to me on my question

y = 3x-4

Como se puede influir de manera tractiva en otros niños menores de 14 años para tomar medidas bioseguridad en tiempos de pandemia

Answers

Step-by-step explanation:

La medida más importante es la difusión de información. Es necesario tener información sobre las prácticas de bioseguridad en tiempos de pandemia accesible a los jóvenes, ya sea en la escuela, en internet, en las redes sociales, a través de anuncios televisivos de celebridades con los que los jóvenes se identifican.

Es necesario que la pandemia sea vista como un problema de salud muy grave y que debe ser tomado en serio por todas las personas independientemente de su edad, los jóvenes deben comprender la gravedad del problema que enfrenta el mundo y adaptarse a este período que el Cuanto mayor sea la conservación, más rápido terminará.

7.
Find the slope of the line.


A. [tex]\frac{1}{4}[/tex]

B. –4

C. 4

D. [tex]-\frac{1}{4}[/tex]

Answers

Answer:    The answer is either letter A or letter C

home / math / slope calculator

Slope Calculator

By definition, the slope or gradient of a line describes its steepness, incline, or grade.

Where

m — slope

θ — angle of incline

If the 2 Points are Known

Result

Slope (m) =  

ΔY

ΔX

=  

-1

5

= -0.2

θ =  

arctan( ΔY ) + 360°

ΔX

= 348.69006752598°

ΔX = 5 – -5 = 10

ΔY = -3 – -1 = -2

Distance (d) = √ΔX2 + ΔY2 = √104 = 10.198039027186

Equation of the line:

y = -0.2x – 2

or

y =  

- 1 x

5

– -2

When x=0, y = -2

When y=0, x = -10

...............................................................................................................................................

home / math / slope calculator

Slope Calculator

By definition, the slope or gradient of a line describes its steepness, incline, or grade.

Where

m — slope

θ — angle of incline

If the 2 Points are Known

Result

Slope (m) =  

ΔY

ΔX

=  

5

-1

= -5

θ =  

arctan( ΔY ) + 180°

ΔX

= 101.30993247402°

ΔX = -3 – -1 = -2

ΔY = 5 – -5 = 10

Distance (d) = √ΔX2 + ΔY2 = √104 = 10.198039027186

Equation of the line:

y = -5x – 10

When x=0, y = -10

When y=0, x = -2

...............................................................................................................................................

Input Data :

Point A  

(

x

A

,

y

A

)

= (3, 2)

Point B  

(

x

B

,

y

B

)

= (7, 10)

Objective :

Find the slope of a line that passes through points A and B.

Formula :

Slope

 

m

=

y

B

y

A

x

B

x

A

Solution:

Slope

 

m

=

10

2

7

3

=

8

4

m = 2

...............................................................................................................................................

Input Data :

Point A  

(

x

A

,

y

A

)

= (3, 2)

Point B  

(

x

B

,

y

B

)

= (7, 10)

Objective :

Find the slope of a line that passes through points A and B.

Formula :

Slope

 

m

=

y

B

y

A

x

B

x

A

Solution:

Slope

 

m

=

10

2

7

3

=

8

4

m = 2

Step-by-step explanation:    This is the picture, I graphed it

Center: (0, 0)

Angle: 0 rad

Opacity: 1

Width: 10

Height: 6.8

This is for my final grade before spring break please help me asap noww

Answers

Answer:

Bushes are $9.

Bonsai trees are $32.

Step-by-step explanation:

Bushes are b and bonsai trees are t.

15b + 8t = $391

9b + 5t = $241

15b + 8t = $391 × 3 and 9b + 5t = $241 × 5

= 45b + 24t = $1173 and 45b + 25t = $1205

(45b + 24t = $1173) - (45b + 25t = $1205)

t = 1205 - 1173

t = $32

Apply to 15b + 8t = $391.

15b + 32 × 8 = $391

15b = $391 = 32 × 8

15b = $391 - 256

15b = $135

x = ($135 ÷ 15) = $9

PLEASE HELP I NEED HELP ASAP PLEASE
Use the information given to write the equation for the quadratic function.
a. The x-intercepts are (-4, 0) and (3,0), and the parabola opens down.
b. The vertex is (-8, -2), and the parabola opens up.

Answers

Answer:

y = -x² - x/22 + 6/11

Step-by-step explanation:

Standard form, is y = ax² + bx + c

We need to use standard form (though we could use vertex form, but it is easier to do standard form)

Substitute the x and y values that they give into y = ax² + bx + c

Because the parabola passes through...

(-4, 0), then 0 = (-4)²a + (-4)b + c

(3, 0), then 0 = 9a + 3b + c

(-8, -2), then -2 = 64a - 8b + c

So, we get this system:

16a − 4b + c = 0

9a + 3b + c = 0

64a − 8b + c = −2

Because you are learning about parabolas, I am assuming that you can solve a system, but the answers are:

a = -x²/22

b = -x/22

c = 6/11

So, the equation of the parabola is:

y = -x²/22 - x/22 + 6/11

I hope this helps! Feel free to ask any questions!

A recipe uses 5 cups of milk to make 30 servings. If the same amount of milk is used for each serving, how many servings can be made from one quart?

Answers

Answer:

Three gallons will be enough to make 128 servings.

Step-by-step explanation:

In Three gallons there are 64 cups. if 5 cups makes 10 servings, that is 1/2 cup per serving. So 64 cups will make 128 servings.

Identifying When to Use a Sample
ch survey is a sample not necessary?

Answers

The answer is d how many car accidents invoke air bag


Slove the system
Of Linear Eqitions by
Elimination
3x-y=0
2x+y=-10

Answers

Answer:

(-2, -6)

Step-by-step explanation:

Given the simultaneous equation

3x-y=0 ... 1

2x+y=-10 ... 2

Add both equations to eliminate y

3x + 2x = 0 - 10

5x = -10

x = -10/5

x = -2

Substitute x = -2 into 1

3(-2)- y = 0

-6 - y = 0

-y = 0+ 6

-y = 6

y = -6

Hence the coordinate (x, y) is (-2, -6)

When the angle of elevation of the sun is 50 degrees, a flagpole casts a shadow that is 16.8 feet long. What is the height of the flagpole to the nearest foot?

Answers

The answer is 50 degrees angle
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