One species of fish in a fishery had an initial population of 255 fish and grew by 25 fish each season. A second species that was being overfished started with an initial population of 450 fish, and then decreased by 40 fish each season. Assuming a linear change, write equations for the populations of each species. When will the two populations have the same amount of fish? After how many seasons will the second species be eliminated?

Answer:

c ≈ 16.55cm ; ∠A = 65 degrees ; ∠B = 25 degrees

Step-by-step explanation:

Because of the Pythagorean theorem, we can solve for c.

This theorem states: a^2 + b^2 = c^2

Since there can only be 180 degrees in a triangle, angle C must be our largest angle. This means that side c is our hypotenuse (the longest side).

Using all of this information, we can say that 15^2 + 7^2 = c^2.

Simplifying that equation, we get that 274 = c^2.

In order to find c, we must square root both sides, and we find that c is about 16.55 cm long.

Using SOHCAHTOA, we know that the tan(∠B)=[tex]\frac{7}{15}[/tex]. Therefore, the arctan ([tex]\frac{7}{15}[/tex]) = ∠B.

Once you find that ∠B is about 25 degrees, you can add ∠B and ∠C together and subtract that from 180 to find ∠A.

∠A = 65 degrees.

Answer:

[tex]6\frac{13}{28}[/tex]

Step-by-step explanation:

Add:

-Chetan K

Step-by-step explanation:

6x+2x+10+8x-30= 16x-20= 4(x-5)

40% of perimeter = 1.6(x-5)

Answer:

1 1/2

Step-by-step explanation:

2/3 + 5/6 = 32 = 1 12 = 1.5. Spelled result in words is three halves (or one and one half).

Answer:

=-10 or 25 depending on the placing of the 2

Step-by-step explanation:

(-A)2=(-5)x2=-10

(-A)^2=(-5)x(-5)=25

Answer:

[tex]x=3c\sqrt{a} -b^2[/tex]

Step-by-step explanation:

[tex]\sqrt{a} =\dfrac{x+b^2}{3c}[/tex]

Multiply both sides by 3c:

[tex]\implies \sqrt{a} \cdot 3c=\dfrac{(x+b^2) \cdot 3c}{3c}[/tex]

[tex]\implies 3c\sqrt{a} =x+b^2[/tex]

Subtract [tex]b^2[/tex] from both sides:

[tex]\implies 3c\sqrt{a} -b^2=x+b^2-b^2[/tex]

[tex]\implies 3c\sqrt{a}-b^2=x[/tex]

Switch sides:

[tex]\implies x=3c\sqrt{a} -b^2[/tex]

The linear equation y = -x - 2  and y = 2x + 13 form the solution (-5, 3)

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the y intercept.

Given the coordinate (-5, 3) as a solution.

The linear equation y = -x - 2 satisfies this this equation because 3 = -(-5) -2

Also, the linear equation y = 2x + 13 satisfies this this equation because 3 = 2(-5) + 14

Find out more on Linear equation at: https://brainly.com/question/14323743

Answer:

View attached graph

Step-by-step explanation:

y = 2x + 13 and y = -x - 2

Hope this helps!

Reducing the sample size to one-third, increases the error by √3.

The margin of error is given by:

[tex]E=z_\frac{\alpha}{2} *\frac{\sigma}{\sqrt{n} } \\\\where\ z_\frac{\alpha}{2} \ is \ the \ confidence\ level\ z\ score, \sigma\ is \ mean\ and\ n\ is\ sample\ size.\\\\n=360, hence:\\\\E=z_\frac{\alpha}{2} *\frac{\sigma}{\sqrt{360} } \\\\E=0.0527(z_\frac{\alpha}{2} *\sigma)\\\\For\ n = 1/3 * 360=120:\\\\\\E=z_\frac{\alpha}{2} *\frac{\sigma}{\sqrt{120} } \\\\E=0.09122(z_\frac{\alpha}{2} *\sigma)[/tex]

Reducing the sample size to one-third, increases the error by √3.

Find out more on Margin of Error at: https://brainly.com/question/10218601

Answer: To convert a fraction to a percentage you multiply by 100.

(9 / 25) * 100

= 9 * 100/25

= 9 * 4

= 36%   answer

Step-by-step explanation:

Answer:

The Answer is 175.86 cm^2

Step-by-step explanation:

4.3*5.2/2*2=22.36 cm^2

6.75*10=67.5 cm^2

10*4.3*2=86 cm^2

86+22.36+67.5=175.86 cm^2

Hoped this helped ^^

= 234.02

10 x 6.75 = 67.5 x 3 202.5

4.3 x 5.2 = 21.84  square root = 4.67

6.7/2 = 2 = 3.375

3.375 x 4.67 = 15.76

15.76 x 2 = 31.52

202.5 + 31.52 = 234.02

Answer:

7.5 feet and 90 inches

Step-by-step explanation:

you take 2.5 and multiply it by 3 because there are 3 feet in a yard to get 7.5. then take 7.5 and multiply it by 12 to get 90 inches

12 of $20 and 3 of $50 totally didnt edit it... lolol..

Answer:

12 $20 Bills & 3 $50 Bills

Step-by-step explanation:

Because if the total is $390, Then if you get 10 $20 Bill that would equal $200 Bills and if you get 2 $50 Bills then you would get $100. Add the $200 Bills & the $100 Bills you get $300 Bills.

Then you get 1 $50 Bill and 2 $20 Dollar Bills you get $90 Bills.

Add $300 Bills with $90 Bills and you get $390.

If you add the number of bills handed it would be 15.

Answer:

3/4p²+5p+3

Step-by-step explanation:

[tex]\dfrac{3}{4}p^2+5p+3[/tex] is the correct answer on simplifying [tex]\left(\dfrac{3}{2}p+1\right)\left(\dfrac{1}{2}p+3\right)[/tex].

Simplification of expression is to get an expression in the rearranged form.

Simplify the given expression as-

[tex]\left(\dfrac{3}{2}p+1\right)\left(\dfrac{1}{2}p+3\right)=\dfrac{3}{4}p^2+3\times \dfrac{3p}{2}+\dfrac{p}{2}+3\\=\dfrac{3}{4}p^2+5p+3[/tex]

Thus, option C is the correct answer.

Learn more about arithmetic expression here- https://brainly.com/question/17722555

#SPJ2

Answer:

Sometimes

Step-by-step explanation:

FBI agents use them I think

Answer:

5:3

3:5

5 for 3

Step-by-step explanation:

Because for every 5 cups you get 3 cups

{twenty symbols text.... }

Answer:

D. 11/24

Step-by-step explanation:

→ [tex]\frac{5}{6} -\frac{3}{8}[/tex]

→ [tex]\frac{40-18}{48}[/tex]

→ [tex]\frac{22}{48}[/tex]

→ [tex]\frac{11}{24}[/tex]

Answer:

D is the answer

Step-by-step explanation:

[tex]\frac{5}{6} - \frac{3}{8} \\[/tex]

find a common factor between 6 and 8, thats 24.

(multiply the first fraction by 4, second by 3, both numerator and denominator)

Becomes:

[tex]\frac{20}{24} - \frac{9}{24}[/tex]

Then subtract the numerators, keeping the denominators the same:

20 - 9 = 11;  

So the answer is:

[tex]\frac{11}{24}[/tex]

Answer:

D

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

Answer:

47x+42/2

Step-by-step explanation:

simplify 9/2

((19x+20)+(9/2×x))+1

(47x+40)/2+1

(47+42)/2

Answer:

147.3°

Step-by-step explanation:

[ 180 × ( n - 2 ) ] ÷ 11

= [ 180 × ( 11 - 2 ) ] ÷ 11

= ( 180 × 9 ) ÷ 11

= 1620 ÷ 11

= 147.273°

Answer: -4

second part is x=3 y=10 z=17

Step-by-step explanation:

edge 2023

The ball thrown upwards follows a parabolic path

The equation that shows the function rewritten in the form that would be best used to identify the maximum height of the ball is [tex]h(t)=-16(t-1)^2+128[/tex]

The equation is given as:

[tex]h(t)=-16t^2+32t+112[/tex]

Factor out -16

[tex]h(t)=-16(t^2-2t)+112[/tex]

Express the bracket as a perfect square expression

[tex]h(t)=-16(t^2-2t + 1 - 1)+112[/tex]

Factor out -4

[tex]h(t)=-16(t^2-2t + 1)+112 + 16 * 1[/tex]

[tex]h(t)=-16(t^2-2t + 1)+128[/tex]

Express as a perfect square

[tex]h(t)=-16(t-1)^2+128[/tex]

Hence, the equivalent expression is [tex]h(t)=-16(t-1)^2+128[/tex]

Read more about parabolas at:

https://brainly.com/question/4061870

Answer:

.3390 or just .339

Step-by-step explanation:

Answer:

ok so

Step-by-step explanation:

ok so if theres numbers its qualitative if it has to do with how it drives is quantitative

Answer:

Cause you were born, as simple as that. Plenty of people deal with harsh life.

Step-by-step explanation:

That's not a math question BUT

If the question is why am I alive, I will answer it.

Although i am not a Christian(I deeply respect those who are, though),

I still believe there is an unnatural force that

selected you to be born and experience life for yourself.

If you are thinking about killing yourself, please call 800-273-8255