All categories

3 years ago

The number of mosquitoes in a small pool of stagnant water Increases according to the pattern below

Mathematics

1 answer:

pantera1 [17]3 years ago

6 0

I got the answer 3n^2 + 4 but that isn’t one of the listed options. take a look at my working out.

You might be interested in

You have 250,000 In an IRA at the time you retire.You have the option of investing this money in two funds.Fund A pays 1.2% annu

krok68 [10]

Let x be the amount of money, you fund in Fund A and y be the amount of mone yyou fund in Fund B.

1. You have 250,000 In an IRA at the time you retire and want to invest this money into Funds A and B, then

$x+y=250,000.$

2. Fund A pays 1.2% (as a decimal 1.2% is 0.012) annually, then $x\cdot 0.012=0.012x$ is annual interest income in Fund A.

Fund B pays 6.2% (as a decimal 6.2% is 0.062) annually, then $y\cdot 0.062=0.062y$ is annual interest income in Fund B.

Since Fund A and Fund B produce an annual interest income of $8,000, then

$0.012x+0.062y=8,000.$

3. Solve the system of equations:

$\left\{\begin{array}{l}x+y=250,000\\0.012x+0.062y=8,000.\end{array}\right.$

Express x from first equation $x=250,000-y$ and substitute it into the second equation

$0.012(250,000-y)+0.062y=8,000.$

Multiply this equation by 1000:

$12(250,000-y)+62y=8000,000,\\ \\3000,000-12y+62y=8000,000,\\ \\62y-12y=8000,000-3000,000,\\ \\50y=5000,000,\\ \\y=100,000$

Then

$x=250,000-100,000=150,000.$

Answer: you have to fund $150,000 in Fund A and $100,000 in Fund B.

8 0

2 years ago

I will mark brainliest !

harina [27]

Answer:

90 degrees

Step-by-step explanation:

A circle circumscribed over a right triangle is the same as a circle circumscribed over a rectangle built from the extension of the right triangle.

That tells us that the hypotenuse is the diameter of the circle in that case.

Here, we can see a triangle that has the hypotenuse as the diameter of the circumscribed circle. We can infer that the triangle is a right triangle.

4 0

3 years ago

Plz with steps .. it's very hard can anyone plz

liubo4ka [24]

Answer:

Step-by-step explanation:

$\displaystyle\ \lim_{n \to a} \dfrac{\sqrt{2x}-\sqrt{3x-a} }{\sqrt{x}-\sqrt{a}} =\frac{0}{0} \\\\we\ can \ use\ Hospital's\ Rule\\\\\\f(x)=\sqrt{2x}-\sqrt{3x-a} \qquad f'(x)=\dfrac{2}{2*\sqrt{2x}} -\dfrac{3}{2*\sqrt{3x-a}} \\\\g(x)=\sqrt{x} -\sqrt{a} \qquad g'(x)=\dfrac{1}{2\sqrt{x}} \\\\\\\displaystyle\ \lim_{n \to a} \dfrac{\sqrt{2x}-\sqrt{3x-a} }{\sqrt{x}-\sqrt{a}} =\lim_{n \to a} \dfrac{\dfrac{2}{2*\sqrt{2x}} -\dfrac{3}{2*\sqrt{3x-a}} }{\dfrac{1}{2\sqrt{x}} }\\\\$

$\displaystyle \lim_{n \to a} \dfrac{2\sqrt{x} }{\sqrt{2x}} -\dfrac{3*\sqrt{x} }{\sqrt{3x-a}} =\lim_{n \to a} \dfrac{2 }{\sqrt{2}} -\dfrac{3*\sqrt{x} }{\sqrt{3x-a}}\\\\\\=\dfrac{2}{\sqrt{2}} -\dfrac{3*\sqrt{a} }{\sqrt{2a}}\\\\\\=\dfrac{2}{\sqrt{2}} -\dfrac{3}{\sqrt{2}}\\\\\\=-\ \dfrac{1}{\sqrt{2}}\\\\$

7 0

2 years ago

You measured the width of your front door to be 3 feet and 2 inches. the chair you are trying to get through the door measured t

Citrus2011 [14]

18 inches or 1 foot and 6 inches
multiply 3 feet by 12 and add two to get the width of the door in inches then subtract 20 inches from it to get the difference

5 0

3 years ago

Read 2 more answers

Solve by elimination. 1. 2x-3y=-9. 4x+9y=-13. 2. 2x-y=7 4x+5y=7. 3. 2x+4y=14 4x+y=14. 4. 4x-3y=16 5x+17y=20

JulijaS [17]

1.) x = -4, and y = 1/3

2.) x = 3, and y = -1

3.) x = 3, and y = 2

4.) x = 4, and y = 0

Hope this helps! - Alyssa

3 0

3 years ago