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3 years ago

Please helppp number 11

Mathematics

1 answer:

aivan3 [116]3 years ago

4 0

Answer:

(1/3)⁷

Step-by-step explanation:

negative exponents work like this:

x⁻²=(1/x)²

Apply this theory to this equation:

3⁻⁷=

(1/3)⁷

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tap A fills a tank in 6 hours tap B fills it in 8 hours and tap C empties it in 10 hours. starting with an empty tank and all th

Alex787 [66]

Answer:

It will take 5 hours and 5 minutes to fill the tank

Step-by-step explanation:

Here, we want to get the time taken to fill the tap

Let us have the rate per hour

A fills in 6 hours; so the fraction filled in an hour is 1/6

B fills in 8 hours, so the fraction filled in an hour is 1/8

C empties in 10 hours, so the fraction removed per hour is 1/10

So factoring the supply and removal, where removal is on a negative basis

we have it that in an hour, the fraction retained is;

1/6 + 1/8 - 1/10

= (20 + 15 - 12)/120

= 23/120

So this is the fraction retained per hour

The number of hours it will take to have a whole is simply the reciprocal of this fraction

That would simply be 120/23 = 5 5/23

5 hours and 5 minutes

6 0

3 years ago

Please help I will give brainliest

Vika [28.1K]

Answer:

Brainliest?

8 0

2 years ago

Read 2 more answers

What is cos 0 when sin 0

taurus [48]

Answer:

Cos θ = √7/3

Step-by-step explanation:

From the question given above, the following data were obtained:

Sine θ = √2 / 3

Cos θ =?

Recall

Sine θ = Opposite / Hypothenus

Sine θ = √2 / 3

Thus,

Opposite = √2

Hypothenus = 3

Next, we shall determine the Adjacent. This can be obtained as follow:

Opposite = √2

Hypothenus = 3

Adjacent =?

Hypo² = Adj² + Opp²

3² = Adj² + (√2)²

9 = Adj² + 2

Collect like terms

9 – 2 = Adj²

7 = Adj²

Take the square root of both side

Adjacent = √7

Finally, we shall determine the value Cos θ. This can be obtained as follow:

Adjacent = √7

Hypothenus = 3

Cos θ =?

Cos θ = Adjacent / Hypothenus

Cos θ = √7/3

4 0

3 years ago

Solve the following system:

Angelina_Jolie [31]

You can rewrite the second equation because you know what y equals, so you can write it as 2x + x + 3 = 9
3x + 3 = 9
- 3
3x = 6
÷ 3
x = 2

And now you use the equation of what y equals and substitute in the value of x, so y = 2 + 3
y = 5

So your final answer is A. (2, 5). I hope this helps!

7 0

3 years ago

What is the domain and range for:<br> y = arcsin(tanx)

Semmy [17]

The graph looks like this, on the enclosed pic:
One feature is that it's periodic and torn (has cut-off points), meaning the domain is the same as in case of tan(x): x€R and x =/= π/2+πn.
The range equals the range of arcsin(x): -π/2<=y<=π/2 OR y€[-π/2;π/2]
Hope could understand and if it helped! :)

7 0

3 years ago