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Mitten crabs are an invasive species in North America. A coastal ecosystem has a population of 320 mitten crabs. The population is predicted to increase by 50% per year. The population will reach an estimated 1,620 crabs in ___ years.

Answer:

The circumference of the circle is 25.12 meters

Step-by-step explanation:

By definition, the circumference of a circle is the perimeter or the length around the circle.

To find the circumference of a circle, all we need to do is multiply the radius by pi and 2. Giving us the equation :

C = 2 * pi * r

We are also given that the diameter of the circle is 8 meters. With this, we can cut it in half to get the radius. 8 / 2 = 4

Now, we plug in our values:

2 * 3.14 * 4

When we evaluate this, we get the answer to be : 25.12

The circumference of the circle is 25.12 meters

Extra references for the definitions of radius and circumference.

The radius is the length from the center of the circle, to the outside (perimeter aka circumference point) of it. The diameter is the length across one end of the circle, to the other end, crossing through the center point.

Answer:

30 is an odd number

Step-by-step explanation:

hope it help

Question:

Which of the following is a closed statement?

Answer:

Step-by-step explanation:

#hope it helps!

Answered by ReyvREYV111

Answer:

a) x=6

b) x= 498/463

hope this helps!!

======================================================

Explanation:

Draw out a right triangle as you see below.

Let's use the pythagorean theorem to find 'a'

[tex]a^2 + b^2 = c^2\\\\a = \sqrt{c^2 - b^2}\\\\a = \sqrt{(9.9)^2 - (7.3)^2}\\\\a = \sqrt{44.72}\\\\a \approx 6.6873\\\\a \approx 6.7\\\\[/tex]

The amount save by Marcia in interest by consolidating the two balances is $133.92.

The total monthly payment for APR of 16% is calculated as follows;

Total monthly payments for 16% =$39.38x48 = $1890.24

Total monthly payments for 12% APR = $36.59*48 = $1756.32

A = $1890.24 - $1756.32

A = $133.92

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Answer:

50%

Step-by-step explanation:

[tex] \frac{17}{34} = \frac{1}{2} = 50\%[/tex]

The percentage of the seats in the theater were filled by the 6th graders on the trip is 78%.

Percentage is a measure of frequency that is expressed as the fraction of a number out of 100.

The percentage of the seats in the theater were filled by the 6th graders = (number of filled seats / total number of seats) x 100

(2496/3200) x 100 = 78%

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Answer: A

Step-by-step explanation:

On a reflection through the x-axis, the x-coordinate of the point will not change, but the y-coordinate will be changed with a negative sign.

So, the reflection of the point is: (8, -7)

Therefore, Option(a)(8, -7) is true.

Answer:

Answer: 25 - (6 + n)

The number 25 is decreased by and sum of number.

The numbers are 6 and n, Their Sum = (6 + n)

When 25 is decreased by this sum of numbers

Answer:

25 - (6+n)

Step-by-step explanation:

Important terms:

Finding the answer

We want to find a word phrase that matches the expression, 25 decreased by the sum of 6 and a number.

Using the terms we just defined we know that the sum of 6 and a number would be 6 + n. ( as again sum = addition or total amount of )

25 is being decreased by the sum of 6 and n so in other words the sum of 6 + n is being subtracted by 25 which would result us in getting 25 - (6+n)

Why the "6+n" must be in parenthesis

The 6 + n must be in the parenthesis because the individual sum of those two numbers is being subtracted from 25.

Answer:

3 hrs 30 min

Step-by-step explanation:

Answer:

elimination

Step-by-step explanation:

Answer:

It would take 8 hours to drive 360 miles.

Step-by-step explanation:

360/45=8
D=R*T

Step-by-step explanation:

a rhombus.

all 4 sides are of equal length.

Answer:

see the attachment.

Answer:

C, -1.5

Step-by-step explanation:

edge

Answer:

a) 29.45 cm (2 dp)

b) 220.89 cm² (2 dp)

Step-by-step explanation:

Formula

[tex]\textsf{Arc length}=r \theta[/tex]

[tex]\textsf{Area of a sector}=\dfrac{1}{2}r^2 \theta[/tex]

[tex]\quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle in radians)}[/tex]

Calculation

Given:

[tex]\begin{aligned}\implies \textsf{Arc length} & =r \theta\\& = 15\left(\dfrac{5 \pi}{8}\right)\\& = \dfrac{75}{8} \pi \\& = 29.45\: \sf cm\:(2\:dp)\end{aligned}[/tex]

[tex]\begin{aligned} \implies \textsf{Area of a sector}& =\dfrac{1}{2}r^2 \theta\\\\ & = \dfrac{1}{2}(15^2) \left(\dfrac{5 \pi}{8}\right)\\\\& = \dfrac{225}{2}\left(\dfrac{5 \pi}{8}\right)\\\\ & = \dfrac{1125}{16} \pi \\\\& = 220.89 \: \sf cm^2\:(2\:dp)\end{aligned}[/tex]

Answer:

0.75

Step-by-step explanation:

4/4=1

3/4=0.75

2/4=1/2=0.5

1/4=0.25

The events of selecting the picture of Paris and another picture of Paris with replacement are independent events.

The probability of picking two Paris pictures is 25/144.

Independents events are events whose occurrence do not depend on each other. They are random event.

The probability of picking two Paris pictures = (number of Paris pictures / total number of pictures) x (number of Paris pictures / total number of pictures)

5/12 x 5/12 = 25 / 144

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Answer:

13•5ft

Step-by-step explanation:

1cm = 4.5ft

3cm = x

cross multiply

x= 3×4•5

:- x = 13•5ft

If you catch 3.33 frogs. Then the number of the frogs that were caught by your friend will be 16.67.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

You and your friend got 20 frogs and your friend caught 5 times more.

Let you catch x frogs. Then the number of the frogs that were caught by your friend will be 5x.

x + 5x = 20

     6x = 20

       x = 3.33

More about the linear system link is given below.

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Let you caught x and friend caught 5x

Now

5x=16.67

Answer

Hope it helps

Check the picture below.

bear in mind that for a triangle, the height or "altitude" is the perpendicular distance from the top of the triangle to the base.

Answer: x=1, x=0

Step-by-step explanation:

Answer:

57.1 degrees

Step-by-step=

32.9+90=122.9

180-122.9=57.1

Answer:

[tex] {(2n + 1)}^{2} = 4 {n}^{2} + 4n + 1 = 2(2 {n}^{2} + 2n) + 1[/tex]

Answer:

81.5%

Step-by-step explanation:

Answer:

oh oh....I know...it's 4....I'm I right

Answer:

4

Step-by-step explanation:

Thanks btw

Let's pretend the [] are boxes.

[] this is one box.

[] [] these are 2 boxes, which is 2

if you put 2 plus 2,

[] [] + [] []

count them, you get 4

Hooray!

If you dunno how to count, you just see each of the boxes, then count up

1, 2, 3, 4, 5, 6, 7, 8, 9, 10 and so on. when you stop seeing the boxes, stop counting - the number you're on is the answer to your + question!

Answer:

1) (I) 1/4,  2) (B) 11/20,  3) (G) 3/20,  4) (C) 4/5

Step-by-step explanation:

Probability is Desired Outcome/All Possible Outcomes. For the first problem, we want apples, which is 25. Altogether though, there are 100 options. So, we get 25/100 or 1/4. For the second, oranges and grapes together (because either would be a desired outcome) are 55. So, we have 55/100, or 11/20. For the third, apples and oranges, the max can be 15, because that's how many total oranges (the lesser of the two) and you can't have anything other than that. So, we get 15/100 or 3/20. Finally, we're looking for everything but bananas, which is 100-20, or 80. For that, we get 80/100 or 4/5.

Hope this helped!

Answer:
Question 1: The Students favorite fruit is an apple is 1/4
Question 2: 3/20

Question 3: 2/5
Question 4: 4/5

Step-by-step explanation:

* All of the fruits equal up to 100, so 25 percent of 100 is 1/4 or 0.25
* Do 100/55. It should give you 5.8181818181818181818181818181818 which would be at least 3/20 because it is closer to 1.
* 25+15=40. 2/5=0.4 which is 40% of 100.