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2 years ago

Evaluate (x+y)^0 For x=-3 and y=5

Mathematics

2 answers:

Alex Ar [27]2 years ago

7 0

Answer:

Step-by-step explanation:

sesenic [268]2 years ago

3 0

Any number, either positive or negative raised to the power of 0 is equal to 1.

${ \left( -3+5 \right) }^{ 0 }\\ \\ ={ 2 }^{ 0 }\\ \\ =1$

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Verdich [7]

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Step-by-step explanation:

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2 years ago

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3 years ago

A spherical balloon is inflating with helium at a rate of 64 pi StartFraction ft cubed Over min EndFraction . How fast is the b

olga2289 [7]

Answer:

The radius of the balloon is increasing at a rate of 4 feet per minute.

Step-by-step explanation:

We are given the following in the question:

$\dfrac{dV}{dt} = 64\pi \dfrac{\text{ ft}^3}{\text{min}}$

Volume of sphere is given by

$V = \dfrac{4}{3}\pi r^3$

where r is the radius of the balloon.

Instant radius, r = 2 ft

Rate of change of volume =

$\dfrac{dV}{dt} = \dfrac{d}{dt}(\dfrac{4}{3}\pi r^3)\\\\\dfrac{dV}{dt} =4\pi r^2\dfrac{dr}{dt}$

Putting values, we get,

$64\pi = 4\pi (2)^2\dfrac{dr}{dt}\\\\\Rightarrow \dfrac{dr}{dt} = 4$

Thus, the radius of the balloon is increasing at a rate of 4 feet per minute.

5 0

3 years ago

10. Rotate the figure shown 180° clockwise. Record the coordinates of the 3 points<br> image.

inna [77]

Answer:

$J' = (6,7)$

$K' = (6,2)$

$L'=(3,7)$

Step-by-step explanation:

From the attachment, we have:

$J = (-6,-7)$

$K = (-6,-2)$

$L = (-3,-7)$

Rotation: 180 degrees clockwise

Required

Find J', K' and L'

When a point (x, y)is rotated 180 degree clockwise, the resulting point is: (-x, -y)

So, we have:

$J' = (6,7)$

$K' = (6,2)$

$L'=(3,7)$

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2 years ago

A rectangle has a base of 5 cm and a height of (x + 2)cm. Its area is 20 cm ^ 2. What is the value of x?

Len [333]

So area is base x height:
5(x+2)=20
5x+10=20
5x=10
x=2
its A

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3 years ago