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3 years ago

What is the dergee of the monomial 5x^6y^3

Mathematics

2 answers:

mash [69]3 years ago

8 0

The degree of the monomial is 6.
Hope I helped!

Mekhanik [1.2K]3 years ago

8 0

The degree is 9. for monomials, you add all the degrees of variables together. 6+3=9

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A carpenter has a rectangular wooden board. The diagonal of the board is 18 inches long and one side of the board is 12 inches l

BaLLatris [955]

In this question, it is given that the diagonal of the board is 18 inches long and one side of the board is 12 inches long.

Let the other side is of length b inches .

Now we use pythagorean identity, which is

$a^2 + b ^2 = c^2$

Here, a = 12 and c=18

Substituting these values, we will get

$12^2 + b^2 = 18^2 \\ 144 + b ^2 = 324 \\ b^2 = 324-144 \\ b^2 = 180 \\ b= \sqrt{180} \\ b = 13.4164 inches$

And the formula of perimeter is

$Perimeter = 2(Sum\ of \ legs)$

Substituting the values of the two legs, we will get

$Perimeter = 2(12+13.4164) = 50.83 inches$

3 0

3 years ago

Read 2 more answers

Solve.<br>7^x+1^y=39^x<br>Thanks!

Bumek [7]

x=0.270327

I think is that

5 0

2 years ago

Use Lagrange multipliers to find the maximum and minimum values of

marusya05 [52]

The Lagrangian is

$L(x,y,\lambda)=x+8y+\lambda(x^2+y^2-4)$

It has critical points where the first order derivatives vanish:

$L_x=1+2\lambda x=0\implies\lambda=-\dfrac1{2x}$

$L_y=8+2\lambda y=0\implies\lambda=-\dfrac4y$

$L_\lambda=x^2+y^2-4=0$

From the first two equations we get

$-\dfrac1{2x}=-\dfrac4y\implies y=8x$

Then

$x^2+y^2=65x^2=4\implies x=\pm\dfrac2{\sqrt{65}}\implies y=\pm\dfrac{16}{\sqrt{65}}$

At these critical points, we have

$f\left(\dfrac2{\sqrt{65}},\dfrac{16}{\sqrt{65}}\right)=2\sqrt{65}\approx16.125$ (maximum)

$f\left(-\dfrac2{\sqrt{65}},-\dfrac{16}{\sqrt{65}}\right)=-2\sqrt{65}\approx-16.125$ (minimum)

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3 years ago

Find the volume of the triangular pyramid to the nearest whole number (number only in your answer) Please help....

sertanlavr [38]

Answer:

Volume of pyramid = 317 units³

Step-by-step explanation:

Volume do triangular pyramid = ⅓ × Base Area × height of pyramid

Base area = ½*bh = ½*8*14 = 56 units²

Height of pyramid = 17

Volume of pyramid = ⅓ × 56 × 17

Volume of pyramid = 317 units³ (to nearest whole number)

7 0

2 years ago

Read 2 more answers

The probability that a can of paint contains contamination is 3.23%, and the probability of a mixing error is 2.4%. The probabil

stich3 [128]

Answer:

4.6%.

Step-by-step explanation:

The probability that a can of paint contains contamination(C) is 3.23%

P(C)=3.23%

The probability of a mixing(M) error is 2.4%.

P(M)=2.4%

The probability of both is 1.03%.

$P(C \cap M)=1.03\%$

We want to determine the probability that a randomly selected can has contamination or a mixing error. i.e. $P(C \cup M)$

In probability theory:

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The probability that a randomly selected can has contamination or a mixing error is 4.6%.

3 0

3 years ago