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3 years ago

Express the polynomial z2 − z4 + 2z2 in standard form and then classify it.

1 answer:

5 0

The answer in standard form is
-z^4 + 3z^2
This is a quartic polynomial

The term with the highest exponent is listed first, then you list the next largest and so on. The like terms are z^2 and 2z^2 which combine to 3z^2

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Please help 10 points

jeka57 [31]

Answer:

61°

Step-by-step explanation:

Alright so the total amount of degrees in a 5-sided shape or pentagon is 540°. Since we have four of the five total angles, we can solve for the last one.

Sum of all the degrees of all five angles = 540°

The variable x is representing our last unknown degree.

90° + 107° + 144° + 138° + x° = 540°

Add up all the known degrees and solve for x.

479° + x° = 540°

Subtract 479 on both sides so that we can isolate x.

479° + x° - 479° = 540° - 479°

x° = 61°

So our final answer is 61°

4 0

4 years ago

Please someone help me !! :(

geniusboy [140]

Answer: 27 times bigger.

Step-by-step explanation:

You need to use the following formula to find the volume of a Square pyramid:

$V=\frac{1}{3}s^2h$

Where "s" is the edge of a side of the square base and "h" is the height of the pyramid.

Knowing that:

$s_A=12\ in\\\\h_A=8\ in\\\\\\s_B=36\ in\\\\h_B=24\ in$

You can find the volume of the Pyramid A and the volume of the Pyramid B:

$V_A=\frac{1}{3}(12\ in)^2(8\ in)\\\\V_A=384\ in^3\\\\\\V_B=\frac{1}{3}(36\ in)^2(24\ in)\\\\V_B=10,368\ in^3$

Finally divide the volume of the Pyramid B and the volume of the Pyramid A, in order to find how many times bigger than the Pyramid A is the Pyramid B.

You get:

$\frac{10,368\ in^3}{384\ in^3}=27$

7 0

3 years ago

Find the absolute extreme of the function on the closed interval. y=9e^xsinx , [0,pi]

Molodets [167]

For convenience sake, I will let $y=f(x)=9e^{x}\sin x$

First, we evaluate the function at the endpoints of the interval.

$f(0)=9e^{0}\sin(0)=0\\\\f(\pi)=9e^{\pi}\sin(\pi)=0$

Then, we need to find the critical points.

We can start by taking the derivative using the power rule.

$f'(x)=9e^{x} \frac{d}{dx} \sin x+9\sin x \frac{d}{dx} e^{x}=9e^{x}(\cos x+\sin x)$

Setting this equal to 0,

$9e^x (\cos x+\sin x)=0$

Since $9e^x > 0$ , we can divide both sides by $9e^x$ .

$\cos x+\sin x=0\\\\\sin x=-\cos x\\\\\tan x=-1\\\\x=\frac{3\pi}{4}$

$f\left(\frac{3\pi}{4} \right)=9e^{3\pi/4}\sin \left(\frac{3\pi}{4} \right)=\frac{9\sqrt{2}e^{3\pi/4}}{2}$

So, the absolute minimum is $\boxed{\left(\frac{3\pi}{4}, \frac{9\sqrt{2}e^{3\pi/4}}{\sqrt{2}} \right)}$ and the absolute minima are $\boxed{(0,0), (\pi, 0)}$

3 0

2 years ago

Alguien me puede ayudar porfavor en la pregunta 28

Valentin [98]

Hola,

no habla espanol muy bueno pero voy a tratar a ayudarlo. podemos simplificar 6/15; simplemente divide por 3. el resultado es 2/5, no 3/5. entonces, 6/15 no es equivelente al 3/5.

4 0

3 years ago

Read 2 more answers

Describe a method of factoring a quadratic expression in standard form.<br> (ax2+bx+c)

madam [21]

Answer:

You can use the quadratic formula

Step-by-step explanation:

X= -b +/- √b^2-4(a)(c)÷ 2(a)

Substitute and simplify to find x

4 0

3 years ago