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IgorLugansk [536]

4 years ago

6

What is the value of 3 + y ÷ 4, when y = 16

2 answers:

nadezda [96]4 years ago

4 0

2.25 is the answer.

Hope I Helped!

chubhunter [2.5K]4 years ago

3 0

4.75. 3+16 is 19 divided by 4 is 4.75

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for which values of n will any set of consecutive integers, each raised to the power of n and added together give a total which

9966 [12]

Answer:

Step-by-step explanation:

If a number A is divisible by 7, then it satisfies the following condition

● A = 7k

k is an integer

Let A be the sum of consecutive integers raised to the power of n

● A = a^n + (a+1)^n + (a+2)^n + .....

For this sequence to be divisible by 7 it must satisfy the condition above

A = 7k where k is an integer

6 0

4 years ago

What is the slope of the line joining (8, 8) and (12, 6)?<br> answer choices attached

Margaret [11]

$\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ 8}}\quad ,&{{ 8}})\quad 
% (c,d)
&({{ 12}}\quad ,&{{ 6}})
\end{array}
\\\quad \\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{6-8}{12-8}$

3 0

3 years ago

Read 2 more answers

An electrician needs 3/4 roll of electrical wire to wire each room in a house . How many rooms can he wire with 6 rolls

Makovka662 [10]

Answer:

8

Step-by-step explanation:

number of rooms=6÷3/4=6×4/3=8

7 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

Rewrite the product as a power: 0.027m^3

Alinara [238K]

(0.3m )³

note that 0.3 × 0.3 × 0.3 = 0.027, hence

0.027m³ = (0.03m)³

3 0

4 years ago

Read 2 more answers