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4 years ago

What’s the answer to sin 36/85

Mathematics

1 answer:

Alborosie4 years ago

8 0

The answer to sin 37/85 is 0.423529411764706

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Find the slope of the line

RUDIKE [14]

Answer:

Slope= -5/3

Step-by-step explanation:

6 0

3 years ago

Determine whether each of these functions from Z to Z is one-to-one. a) f(n) = n - 1 b) f(n) = n2 + 1 c) f(n) = nº d) f(n) = [n/

sesenic [268]

Answer: The correct option is

(a) f(n) = n - 1.

Step-by-step explanation: We are given to determine whether the given functions are one-to-one or not.

We know that a function y = f(x) is one-to-one if and only if

f(x) = f(y) ⇔ x = y.

That is, any two distinct elements cannot have the same image.

(a) The given function is

$f(n)=n-1.$

Let us consider that

$f(n_1)=f(n_2)\\\\\Rightarrow n_1-1=n_2-1\\\\\Rightarrow n_1=n_2.$

Similarly,

$n_1=n_2\\\\\Rightarrow n_1-1=n_2-1\\\\\Rightarrow f(n_1)=f(n_2).$

So, this function is one-to-one.

(b) The given function is

$f(n)=n^2+1.$

Let us consider that

$f(n_1)=f(n_2)\\\\\Rightarrow n_1^2+1=n_2^2+1\\\\\Rightarrow n_1^2=n_2^2\\\\\Rightarrow n_1=\pm n_2.$

That is, there may be two unequal elements having same image.

For example, f(-1)=(-1)²+1=1+1=2, f(1)=(1)²+1=1+1=2.

It implies that f(-1)=f(1) but 1 ≠ -1.

So, the given function is not one-to-one.

(c) The given function is

$f(n)=n^0.$

Here, the image of all the elements is 1.

For example, $f(2)=2^0=1,~~f(3)=3^0=1.$

f(2)=f(3) but 2≠3.

So, more than one element is having the same image and so the function cannot be one-to-one.

(d) The given function is

$f(n)=\left[\dfrac{n}{2}\right].$

Here, we see that

$f(2)=\left[\dfrac{2}{2}\right]=[1]=1,\\\\\\f(3)=\left[\dfrac{3}{2}\right]=[1.5]=1.$

So, f(2)=f(3) but 2≠3.

So, the given function is not one-to-one.

Thus, the correct option is (a).

5 0

4 years ago

What is the volume of this triangular prism? 182 m3 195 m3 210 m3 390 m3

otez555 [7]

I think that the answer is 390

6 0

3 years ago

Read 2 more answers

I need a word problem or this asap. THANK YOU!!!!!!!!! x + y ≤ 40 4x + 5y ≥80

CaHeK987 [17]

Carson needed pencil and erasers, but the total amount can not be over 40. Pencils were $4 and erasers were 5$. How much pencils and erasers can he buy without spender over $80

7 0

3 years ago

The length of a rectangular prism is 8

Lena [83]

Surface area is:

$W=width$
$L=length$
$H=height$

$S=2*(L*W+L*H+W*H)$

replacing the values

$250=2*(8*W+8*1+W*1)$

$250=2*(8*W+8+W)$

$250=2*(9*W+8)$

dived each member by 2

$125=9W+8$

$9W=125-8$

$9W=117$

$\boxed{\boxed{W=13~unit~of~measure}}$

The volume of a rectangular prism is

$V=L*H*W$

$V=8*1*13$

$\boxed{\boxed{V=104~unit~of~volume}}$

3 0

4 years ago