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WINSTONCH [101]
3 years ago
10

Find a number close to 132 that divides easily by 3

Mathematics
2 answers:
Sergio [31]3 years ago
7 0
132 divides easily by 3
Pavlova-9 [17]3 years ago
3 0
132/3=44
135/3=45
138/3=46
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1/2y^2(6x+2y+12x-2y) is equivalent
vazorg [7]
The answer is 9y^2x(the 2 goes on top were the arrow is ) Hope this was helpful!
3 0
3 years ago
The line y = 7x - 2 has a slope of 7 and a y-intercept of (-2 ,0). TRUE OR FALSE.
8_murik_8 [283]
The y int. is correct but you wrote it wrong it is (0, -2)
5 0
3 years ago
Solve the equation sin2∅=2sin∅, domain 0°≤B≤360°
Ann [662]

Answer:

∅ = 90°

Step-by-step explanation:

Given;

sin2∅=2sin∅

sin2∅ = 2sin∅Cos∅

but, Sin²∅ + Cos²∅ = 1

       Cos²∅ = 1 - Sin²∅

       Cos ∅ = √(1 - Sin²∅)

sin2∅=2sin∅ ↓

2sin∅Cos∅ = 2sin∅

2sin∅(√(1 - Sin²∅)) = 2sin∅

Let Sin∅ = P

2P( √(1 - P²)) = 2P

Divide both sides by 2P

√(1 - P²) = 1

Square both sides

1 - P² = 1

P² = 1 - 1

P² = 0

P = 0

Recall, Sin∅ = P

Sin∅ = 0

∅ = Sin ⁻¹(0)

∅ = 90°

5 0
3 years ago
Find the absolute maximum and minimum values of the function, subject to the given constraints. k(x,y)=−x2−y2 4x 4y; 0≤x≤3, y≥0,
grigory [225]

For function k(x, y) = -x² - y² + 4x + 4y,

the absolute minimum is 0 and the absolute maximum is 6

For given question,

We have been given a function k(x, y) = -x² - y² + 4x + 4y

We need to find the absolute maximum and minimum values of the function, subject to the constraints 0 ≤ x ≤ 3, y ≥ 0, and x + y ≤ 6

First we find the partial derivative of function k(x, y) with respect to x.

⇒ k_x=-2x+4

Now, we find the partial derivative of function k(x, y) with respect to y.

\Rightarrow k_y=-2y+4

To find the critical point:

consider    k_x=0     and      k_y=0

⇒       -2x + 4 = 0     and    -2y + 4 = 0

⇒          x = 2            and       y = 2

This means, the critical point of function is (2, 2)

We have been given constraints 0 ≤ x ≤ 3, y ≥ 0, and x + y ≤ 6

Consider k(0, 0)

⇒ k(0, 0) = -0² - 0² + 4(0) + 4(0)

⇒ k(0, 0) = 0

Consider k(3, 3)

⇒ k(3, 3) = -3² - 3² + 4(3) + 4(3)

⇒ k(3, 3) = -9 - 9 + 12 + 12

⇒ k(3, 3) = -18 + 24

⇒ k(3, 3) = 6

Therefore, for function k(x, y) = -x² - y² + 4x + 4y,

the absolute minimum is 0 and the absolute maximum is 6

Learn more about the absolute maximum and absolute minimum values of the function here:

brainly.com/question/16270755

#SPJ4

4 0
1 year ago
327.8 in scientific notation
Allushta [10]

Answer:

3.278 * 10 ^ 2

Step-by-step explanation:

To change a number to scientific notation you:

Move the decimal point to the left to make the number have 1 number before the decimal point.

From there you multiply by 10 to the power 2 the number of decimal points you moved.

So the answer is 3.278 * 10^2

HOPE IT HELPED

5 0
3 years ago
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