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3 years ago

Mutiply 4y-4w^8-3y^5w^3

Mathematics

1 answer:

Nookie1986 [14]3 years ago

5 0

Answer:

48y⁶w¹¹

Step-by-step explanation:

[-3y⁵][4y] → -12y⁶

[w³][-4w⁸] → -4w¹¹

______

48y⁶w¹¹

I am joyous to assist you anytime.

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As part of a survey, 500 boys were asked to name their favorite car. The results showed that 30 of the boys named a Corvette as

kotegsom [21]

A-6%
30 ÷ 500 = 0.06 = 6%

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3 years ago

Let A= {1, 3, 6, 8, 9} B= {2, 5, 6, 7, 8} C= {1, 4, 6, 7, 8, 9} and D= {1,2}

____ [38]

Answer with Step-by-step explanation:

Let A= {1, 3, 6, 8, 9}

B= {2, 5, 6, 7, 8}

C= {1, 4, 6, 7, 8, 9}

and D= {1,2}

Calculate (A∪B)∩C

A∪B={1,2,3,5,6,7,8,9} (union of two sets is the set of element which are in any one of the two sets or in both)

(A∪B)∩C ={1,6,7,8,9} (intersection of two sets are the set of elements which are in both the sets)

Calculate P(D), i.e. power set of D

P(D)={Ф,{1},{2},{1,2}} (Power set of any set is the collection of all the subsets of that set)

Is (A ∩ B) ⊆C? Why or why not?

A∩B={6,8}⊆{1, 4, 6, 7, 8, 9} =C

Hence, (A ∩ B) ⊆C

What is (B ∩ C) × {1,2}?

B∩C={6,7,8}

(B ∩ C) × {1,2}={6,7,8} × {1,2}

={(6,1),(6,2),(7,1),(7,2),(8,1),(8,2)}

6 0

3 years ago

the scale on a map is 2 centimeters equals 15 Miles Dave measures the distance to the next town at 7 centimeters how many miles

jeka57 [31]

52.5 is the exact answer <span />

6 0

4 years ago

PLEASE HELP!!! WILL GIVE BRANLIEST

Rus_ich [418]

Check the picture below, so the hyperbola looks more or less like that.

based on the provided vertices, its center is at the origin, as you see there, the "a" component or traverse axis is 4, the "c" distance is 5.

$\bf \textit{hyperbolas, vertical traverse axis }
\\\\
\cfrac{(y- k)^2}{ a^2}-\cfrac{(x- h)^2}{ b^2}=1
\qquad 
\begin{cases}
center\ ( h, k)\\
vertices\ ( h, k\pm a)\\
c=\textit{distance from}\\
\qquad \textit{center to foci}\\
\qquad \sqrt{ a ^2 + b ^2}
\end{cases}\\\\
-------------------------------$

$\bf \begin{cases}
h=0\\
k=0\\
c=5\\
a=4
\end{cases}\implies \cfrac{(y-0)^2}{4^2}-\cfrac{(x-0)^2}{b^2}=1
\\\\\\
\stackrel{c}{5}=\sqrt{4^2+b^2}\implies 5^2=16+b^2\implies 25=16+b^2
\\\\\\
9=b^2\implies \sqrt{9}=b\implies \boxed{3=b}
\\\\\\
\cfrac{(y-0)^2}{4^2}-\cfrac{(x-0)^2}{3^2}=1\implies \cfrac{y^2}{16}-\cfrac{x^2}{9}=1$

3 0

4 years ago

Read 2 more answers

6- 6x^2- 3x = 0 solve

VARVARA [1.3K]

Answer:

The solutions are $x=\frac{3)+\sqrt{153} }{-12}$ , $x=\frac{3)-\sqrt{153} }{-12}$

If you need to have them in a decimal form rounded to 3 decimals, the answers would be $x=-1.281$ , $x=0.781$

Step-by-step explanation:

We are given the equation $6-6x^2-3x=0$

The first thing that can be done is to rearrange the terms so that they are in descending order of power. This makes it easier to work with

This gives us $-6x^2-3x+6=0$

To find the solutions to this equation, we can use the quadratic formula, which will tell us that the solutions are equal to $\frac{-b+\sqrt{b^2-4ac} }{2a} ,\frac{-b-\sqrt{b^2-4ac} }{2a}$

From our equation, we can gather that $a=-6, b=-3, c=6$

Now that we have our variables, we can plug them into the quadratic formula to get our solutions.

$\frac{-(-3)+\sqrt{(-3)^2-4(-6)(6)} }{2(-6)}\\\\\frac{3)+\sqrt{9+144} }{-12}\\\\\frac{3)+\sqrt{153} }{-12}$

And now for our second equation

$\frac{-(-3)-\sqrt{(-3)^2-4(-6)(6)} }{2(-6)}\\\\\frac{3)-\sqrt{9+144} }{-12}\\\\\frac{3)-\sqrt{153} }{-12}$

3 0

3 years ago