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3 years ago

Is u=−12 a solution of 8u−1=6u?

Mathematics

1 answer:

Sedaia [141]3 years ago

8 0

Answer:

No, -12 is not a solution.

Step-by-step explanation:

8u-1=6u

8(-12)-1=6(-12)

-96-1=-72

-97=-72

Untrue, to it’s not a solution

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Solve the following equations for 0 ≤ theta ≤ 360º cosec(2 — 45°) = 2

lions [1.4K]

Step-by-step explanation:

here ,

$cosec \alpha = \frac{1}{ \sin( \alpha ) }$

now,

cosec(2-45°)=2

or,

1/sin(2-45°) =2

or,

1/sin2cos45°-cos2sin45=2

or,

$\frac{1}{ \sin(2) \frac{1}{2} - \cos(2) \frac{1}{2} } = 2$

or,

sorry I have that much qualifications to work on this question and hoping this much will make bit easy for you to solve it further

4 0

2 years ago

The power generated by an electrical circuit (in watts) as function of its current x (in amperes) is modeled by: P(x)=-12x^2 +12

Minchanka [31]

Given:

The power generated by an electrical circuit (in watts) as function of its current x (in amperes) is modeled by:

$P(x)=-12x^2+120x$

To find:

The current that will produce the maximum power.

Solution:

We have,

$P(x)=-12x^2+120x$

Here, leading coefficient is negative. So, it is a downward parabola.

Vertex of a downward parabola is the point of maxima.

If a parabola is $f(x)=ax^2+bx+c$ , then

$Vertex=\left(\dfrac{-b}{2a},f(\dfrac{-b}{2a})\right)$

In the given function, a=-12 and b=120. So,

$-\dfrac{b}{2a}=-\dfrac{120}{2(-12)}$

$-\dfrac{b}{2a}=-\dfrac{120}{-24}$

$-\dfrac{b}{2a}=5$

Putting x=5 in the given function, we get

$P(5)=-12(5)^2+120(5)$

$P(5)=-12(25)+600$

$P(5)=-300+600$

$P(5)=300$

Therefore, 5 watt current will produce the maximum power of 300 amperes.

6 0

3 years ago

Aaron and his friends went trick or

sergeinik [125]

Answer:

4.472

Step-by-step explanation:

So we just have to divide

22.36 / 5 = 4.472

6 0

3 years ago

Read 2 more answers

It is given that cos 0 = -0.4209 and 0° 0 < 360°. Calculato the values of 0

beks73 [17]

Answer:

114.89 degrees

245.11 degrees

Step-by-step explanation:

cos is negative in the second and third quadrant ("pointing" on the x-axis to the left).

so, the first answer for the second quadrant is

114.89 degrees.

the answer for the third quadrant is then backwards the same angles from a full 360 degree rotation

360 - 114.89 = 245.11 degrees

5 0

3 years ago

Tara is making dinner for 9 people. She mixes 1 1/4 kilograms of rice with 500grams of vegetables and 410 grams of meat. If all

kotegsom [21]

Answer:

240 grams

Step-by-step explanation:

Tara uses:

$1 \dfrac{1}{4}\ kg=1 \ kg\ 250 \ g=1250\ g$ of rice
500 g of vegatables
410 g of meat

In total, Tara uses

$1250+500+410=2160\ g$ of ingredients.

She is making dinner for 9 people, so the weight of each serving is

$2160:9=240\ g$

3 0

3 years ago