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My name is Ann [436]
3 years ago
9

Simplify. y^-3 pls help me i need this very bad

Mathematics
1 answer:
prisoha [69]3 years ago
7 0
My understanding is that when the power is a negative number, move it to the denominator and change it to positive. 
In this case, the base is y, the power is -3
y^(-3)=1/(y^3)
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What is the value of p in the question below. 10x9/2x4= px 5
ycow [4]

Answer:

p = 5

Step-by-step explanation:

We have that:

\frac{x^{a}}{x^{b}} = x^{a-b}

So

\frac{x^{9}}{x^{4}} = x^{9-4} = x^{5}

10/2 = 5

Then

\frac{10x^{9}}{2x^{4}} = 5x^{9-4} = 5x^{5}

Finding p:

5x^{5} = px^{5}

p = \frac{5x^{5}}{x^{5}}

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2 years ago
Four lawn sprinkler heads are fed by a 1.9-cm-diameter pipe. The water comes out of the heads at an angle of 35° above the horiz
klemol [59]

Answer:

Step-by-step explanation:

Given:

Angle, θ = 35°

Vertical distance, Δx = 6 m

Diameter, d = 1.9 cm

= 0.019 m

A.

When the water leaves the sprinkler, it does so at a projectile motion.

Therefore,

Using equation of motion,

(t × Vox) = 2Vo²(sin θ × cos θ)/g

= Δx = 2Vo²(sin 35 × cos 35)/g

Vo² = (6 × 9.8)/(2 × sin 35 × cos 35)

= 62.57

Vo = 7.91 m/s

B.

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Diameter, D = 3 × 10^-3 m

As = π × (3 × 10^-3)²/4

= 7.069 × 10^-6 m²

V_ = volume rate of the sprinkler

= area, As × velocity, Vo

= (7.069 × 10^-6) × 7.91

= 5.59 × 10^-5 m³/s

Remember,

1 m³ = 1000 liters

= 5.59 × 10^-5 m³/s × 1000 liters/1 m³

= 5.59 × 10^-2 liters/s

= 0.0559 liters/s.

For the 4 sprinklers,

The rate at which volume is flowing in the 4 sprinklers = 4 × 0.0559

= 0.224 liters/s

C.

Area of 1.9 cm pipe, Ap = πD²/4

= π × (0.019)²/4

= 2.84 × 10^-4 m²

Volumetric flowrate of the four sprinklers = 4 × 5.59 × 10^-5 m³/s

= 2.24 × 10^-4 m³/s

Velocity of the water, Vw = volumetric flowrate/area

= 2.24 × 10^-4/2.84 × 10^-4

= 0.787 m/s

7 0
3 years ago
Read 2 more answers
A bag contains 8 blue marbles and 6 green marbles.A blue marble is removed and not replaced.Calculate the probability that the s
Solnce55 [7]

Answer:

a. Blue

Step-by-step explanation:

The answer is blue because there are still more blue than green and the ratio is 7:6. So the probability is the second ball removed is a blue ball. Hope this helps :)

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3 years ago
What is the equation of the graphed line​
11Alexandr11 [23.1K]

Answer:

y = 2x + 3

Step-by-step explanation:

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Going from the point (-3, -3) to the point (0, 3),

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3 years ago
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Someone help please!!!!
LUCKY_DIMON [66]

Answer:

x = -2

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Step-by-step explanation:

you can add x^2 with 4x+10 and equate it to 6:

x^2 + 4x + 10 = 6

x^2 + 4x + 4

then u can use the roots formula : x = (-b ± √ (b2 - 4ac) )/2a

so it'll be   x = {-4±[√16 - 4(4)]}/2

x= -2

then u can substitute it and find TU and UB

TU= (-2)^2 = 4

UB= 4(-2)+10 = 2

5 0
1 year ago
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