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Lynna [10]
3 years ago
11

P(x) = 2x^4 - x^3 + 2x^2 - k where k is an unknown integer. P(x) divided by (x+1) has a remainder of 2. What is the value of k?

Mathematics
1 answer:
loris [4]3 years ago
6 0

Answer:

k = - 3

Step-by-step explanation:

Look at the picture*

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What is 1928912 times 192 divided by 182 times 9 plus 4 - 12378923789 times -52?
qaws [65]
(1928912×192) ÷ (182×9) + 4- (12378923789×-52)

= 6.437042e11
3 0
3 years ago
Evaluate the cosine if the angle of rotation which contains the point (9, -3) on its terminal side
Liono4ka [1.6K]

so we know the terminal point is at (9, -3), now, let's notice that's the IV Quadrant

\bf (\stackrel{x}{9}~~,~~\stackrel{y}{-3})\impliedby \textit{let's find the \underline{hypotenuse}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ c=\sqrt{9^2+(-3)^2}\implies c=\sqrt{81+9}\implies c=\sqrt{90} \\\\[-0.35em] ~\dotfill

\bf cos(\theta )=\cfrac{\stackrel{adjacent}{9}}{\stackrel{hypotenuse}{\sqrt{90}}}\implies \stackrel{\textit{rationalizing the denominator}}{\cfrac{9}{\sqrt{90}}\cdot \cfrac{\sqrt{90}}{\sqrt{90}}\implies \cfrac{9\sqrt{90}}{90}}\implies \cfrac{\sqrt{90}}{10}\implies \cfrac{3\sqrt{10}}{10}

6 0
2 years ago
What is ( √2 - √3 )² =
allochka39001 [22]

just use FOIL (First, Outer, Inner, Last).

( √2 - √3 ) X ( √2 - √3 )

First: √2 X √2 = 2
Outer: √2 X -√3 = -√6
Inner: -√3 X √2 = -√6
Last: -√3 X -√3 = 3

and then add them together.

2 - √6 - √6 + 3
5 - 2(√6)

The answer is 5 - 2(√6) . 

4 0
3 years ago
Read 2 more answers
A machine lifts up containers of coal from the mine and lowers empty containers down. The machine uses an electric motor connect
Shkiper50 [21]

Answer:

The maximum power available to the motor is 2.4 MW

Step-by-step explanation:

The power of  a circuit that has a current, I, and a voltage, V, is given by the relation

Electrical power, P = I²R = I× I×R = I × V

Therefore given that the parameters are;

Voltage in the d.c. power supply = 600 V d.c.

Maximum current in the motor = 4000 A

Therefore, we can find the power as follows;

Maximum motor power = Voltage × Current

The maximum motor power, P available =  600 V × 4000 A = 2400000 W which on converting to MW becomes;

The maximum power available to the motor , P = 2.4 MW.

4 0
3 years ago
A block of wood has the mass of 180 grams. It is 10cm long, 6cm wide and
pychu [463]

Answer:

.75g/cm^3

Step-by-step explanation:

density = mass / volume

We already know the mass - 180g

Find the volume

10cm * 6cm * 4cm = 240 cm^{3}

Plug in the volume and mass in the density formula

density = 180g / 240cm^{3}

Simplify

Density = .75g/cm^{3}

5 0
2 years ago
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