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4 years ago

How do you simplify the equation

Mathematics

1 answer:

labwork [276]4 years ago

4 0

Expand : 2x(4x - y) ( 4x + y ) = $32x^{3}$ - $2xy^{2}$ .

This is how I got my answer,

Expand :

( 4x - y ) ( 4x + y ) : $16x^{2}$ - $y^{2}$

= 2x( $16 x^{2}$ - $y^{2}$ )

Expand : $32x^{3}$ - $2xy^{2}$ .

Hope this helps :)

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A 2005 survey found that 7% of teenagers (ages 13 to 17) suffer from an extreme fear of spiders (arachnophobia). At a summer cam

bagirrra123 [75]

Answer:

Probability that at least one of them suffers from arachnophobia is 0.5160.

Step-by-step explanation:

We are given that a 2005 survey found that 7% of teenagers (ages 13 to 17) suffer from an extreme fear of spiders (arachnophobia).

Also, At a summer camp there are 10 teenagers sleeping in each tent.

Firstly, the binomial probability is given by;

$P(X=r) =\binom{n}{r}p^{r}(1-p)^{n-r} for x = 0,1,2,3,....$

where, n = number of trials(teenagers) taken = 10

r = number of successes = at least one

p = probability of success and success in our question is % of

the teenagers suffering from arachnophobia, i.e. 7%.

Let X = Number of teenagers suffering from arachnophobia

So, X ~ $Binom(n= 10,p=0.07)$

So, probability that at least one of them suffers from arachnophobia

= P(X >= 1) = 1 - probability that none of them suffers from arachnophobia

= 1 - P(X = 0) = 1 - $\binom{10}{0}0.07^{0}(1-0.07)^{10-0}$

= 1 - (1 * 1 * $0.93^{10}$ ) = 1 - 0.484 = 0.5160 .

Therefore, Probability that at least one of them suffers from arachnophobia is 0.5160 .

3 0

3 years ago

Help please due in 40 mins !!!!

ololo11 [35]

Answer:

In this option B is correct

5 0

3 years ago

Read 2 more answers

Red Bookstore wants to ship books from its warehouses in Brooklyn and Queens to its stores, one on Long Island and one in Manhat

frozen [14]

Answer:

Brooklyn to Long Island = 0 books

Brooklyn to Manhattan = 1000 books

Queens to Long Island books = 1500 books

Queens to Manhattan books = 500 books

YES

Step-by-step explanation:

This is a equation's system with 4 unknown variables ( the number of the 4 kinds of shippings performed) , lets call the 4 variables like this:

a: Brooklyn to Long Island books
b: Brooklyn to Manhattan books
c: Queens to Long Island books
d: Queens to Manhattan books

Now, let´s see what we know:

1) First we know that each bookstore has asked for 1500 books so:

1500= b+d => b= 1500-d (1)

1500= a+c=> a= 1500-c (2)

2) We also know that the total amount spent in transportation is 9000$ at the given individual trasportattion prices

9000$= 5$*a+1$*b+4$*c+2$*d

=> 9000= 5a+b+4c+2d

=> c= (9000-5a-b-2d)/4 (3)

3) Finally, we know that the since we have a total number of books in the two warehouses of 3000 books, the same quantity that is demanded by the two bookstores, all the books are delivered.

So , in Brooklyn there are 1000 books that can be delivered to LI or Manhattan:

1000 = a+b => a= 1000-b (4)

and in Queens there are 2000 books:

2000 = c+d => d= 2000-c (5)

Now, formulas (2) and (4) are equal to a, so they are equal to each other

1000-b= 1500-c => b= c-500 (6)

Now lets solve by substitution in formula (3):

c= (9000-5a-b-2d)/4

=> 4c= 9000-5a-b-2d

=> 4c= 9000-5( 1500-c)- (c-500)-2*(2000-c)

=> 4c= -3000+6c => c=1500

Then:

d= 2000-c= 2000-1500=> d=500.
b= c-500 => b= 1000
a= 1500-c => c= 0

b) If we look at the trsnportation prices the cheaper is from Brooklyn to Manhattan, so lets try to maximize this tranportation.

In Brooklyn we have 1000 books, and we need 1500 in Manhattan, so lets do all the the shipping from brooklyn to Manhattan.:

1000 books *1 $/ book= 1000$

We will need 500 additional books from Queens at 2$/ book:

500 books * 2 $/book = 1000$

Then the 1500 books left in Queens will be shipped to Long Island at a price of 4$/ book:

1500 books * 4 $/book= 6000$

Total amount spent = 1000$+1000$+6000$ = 8000$

3 0

4 years ago

Evaluate u^2 -2u+4 when u= -3

OLga [1]

Answer:

Step-by-step explanation: Sub -3 into where all the u’s are. So it would be

(-3)^2 - 2(-3) + 4

Which would equal 19

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3 years ago

How many solutions does this system have? 2x-4y=8

ExtremeBDS [4]

Answer:

Step-by-step explanation:

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3 years ago