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SVETLANKA909090 [29]
3 years ago
12

Leo and Maggie volunteer at the local bird sanctuary.

Mathematics
1 answer:
sattari [20]3 years ago
7 0

Answer:2.4

Step-by-step explanation:

12 * 20% = 12 * 0.20 = 2.4 hours

It will not last the entire shift.

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14. Find the solution of the initial value problem y′′ + y = F(t), y(0) = 0, y′(0) = 0, where F(t) = ⎧⎪⎨⎪⎩ At, 0≤ t ≤ ????, A(2?
Vinvika [58]
Yxgxgggffggyygfccccgyu
3 0
3 years ago
Mia removes the plug from a trough to drain the water. The volume, in gallons, in the trough after it has been unplugged can be
STALIN [3.7K]

Answer:

The correct option is D) (5x − 2)(2x − 3).

Step-by-step explanation:

Consider the provided expression.

10x^2-19x+6

Where x is time in minutes.

We need to find the appropriate form of the expression that would reveal the time in minutes when the trough is empty.

When the trough is empty the whole expression becomes equal to 0.

Substitute the whole expression equal to 0 and solve for x that will gives us the required expression.

10x^2-19x+6=0

10x^2-15x-4x+6=0

5x(2x-3)-2(2x-3)=0

(5x-2)(2x-3)=0

Now consider the provided option.

By comparison the required expression is D) (5x − 2)(2x − 3).

Hence, the correct option is D) (5x − 2)(2x − 3).

3 0
3 years ago
Given a circle with radius of 2, which is the degree measure of an arc whose length is 1/2 ?
Finger [1]
180 degrees. It would be half of the circle.
3 0
3 years ago
Paul lands a home mortgage of $58,200 at a
qwelly [4]

Answer:

$72,100

Step-by-step explanation:

To calculate the total principal+interest payment, you can use the formula to find the future value:

FV=PV(1+i)^n

FV= Future value

PV= Present value= $58,200

i= Interest rate= 7.40%

n= Number of periods of time= 3 years

Now, you can replace the values on the formula:

FV=58,200*(1+0.0740)^3

FV=58,200*(1.0740)^3

FV=72,100

According to this, the answer is that the  total principal + interest  payment will be $72,100.

8 0
2 years ago
3x^2 + 4x = -8<br> solve using quadratic formula
Firdavs [7]

Use the quadratic equation to solve this (image of the quadratic equation is below)

Remember that quadratic functions are set up like so:

ax^{2} +bx +c = 0

To make the equation 3x² + 4x = -8 into a quadratic function you must bring -8 to the left side of the equation so it equals zero. To do this add 8 to both sides

3x² + 4x + 8= -8 + 8

3x² + 4x + 8 = 0

That means that in this equation...

a = 3

b = 4

c = 8

^^^Plug these numbers into the quadratic equation and solve  (Keep in mind that +/- is ± )

\frac{-4+/-\sqrt{(4)^{2}-4(3)(8)}}{2(3)}

\frac{-4+/-\sqrt{16-96}}{6}

\frac{-4+/-\sqrt{-80}}{6}

^^^There is no real solution to this equation. You must have an imaginary solution

\frac{-4+/-i\sqrt{80}}{6}

Simplify

\frac{-2+/-2i \sqrt{5}}{3}

Hope this helped!

~Just a girl in love with Shawn Mendes

5 0
3 years ago
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