All categories

3 years ago

When 5√20 is written in simplest radical form , the result is k√5 what is the value of K

Mathematics

1 answer:

Vladimir [108]3 years ago

7 0

Answer:

Step-by-step explanation:

√20 can be rewritten as the product of two radicals: √4√5,

and √4 = 2.

Thus, 5√20 = 5(2)√5 = 10√5. Thus, B: 10 is correct; k = 10.

You might be interested in

Given that (- 2, 7) is on the graph of f(x) , find the corresponding point for the function f(x + 4).

AveGali [126]

Answer:

$\boxed{\ the \ corresponding\ point\ is \ (-6,7)\ }$

Step-by-step explanation:

We know that f(-2)=7

x+4 = -2 <=> x = -6

so f(-6+4) = f(-2)=7

then the corresponding point is (-6,7)

3 0

3 years ago

If the null space of A4×5 is exactly a two-dimensional plane, answer the following:

Hatshy [7]

Answer:

A is a 4 x 5 matrix => A: U -> V, dim U = 5, dim V = 4

Null space is exactly two dimensional plane

dim null (A) = 2

II.

Rank A = dim U - dim Null A = 5 - 2 = 3

III.

Number of linearly Independent columns of A is the rank of A = 3

IV.

Yes, The system Ax = b has no solution sometimes as range of A \neq V

Yes,Sometimes Ax = b has a unique solution

VI.

Yes, sometimes Ax = b has infinitely many solutions

8 0

3 years ago

PLEASE BE QUICK!

Svetach [21]

The answer is 0.73 hope it helps

3 0

3 years ago

Three times the sum of a number and 2<br> is 7

Ainat [17]

3(x+2)=7 X=1/3 Because 3(x+2) would simplify to 3x+6=7 and then its a two-step equation

8 0

3 years ago

Read 2 more answers

Identify the sequence graphed below and the average rate of change from n = 1 to n = 3.

dsp73

Answer:

The required sequence is $a_n=20(\frac{1}{2})^{n-1}$ . The average rate of change from n = 1 to n = 3 is -7.5.

Step-by-step explanation:

From the given graph it is clear that the sequence is a GP because the all terms are half of their previous terms.

Here, $a_2=10,a_3=5,a_4=2.5,a_5=1.25$

$r=\frac{a_3}{a_2}=\frac{5}{10}=\frac{1}{2}$

The common ratio of GP is 1/2.

$r=\frac{a_2}{a_1}$

$\frac{1}{2}=\frac{10}{a_1}$

$a_1=20$

The first term of the sequence is 20.

The formula for sequence is

$a_n=a(r)^{n-1}$

Where a is first term and r is common difference.

The required sequence is

$a_n=20(\frac{1}{2})^{n-1}$

The formula for rate of change is

$m=\frac{f(x_2)-f(x_1)}{x_2-x_1}$

The average rate of change from n = 1 to n = 3 is

$m=\frac{f(3)-f(1)}{3-1}$

$m=\frac{5-20}{3-1}$

$m=\frac{-15}{2}=-7.5$

Therefore the required sequence is $a_n=20(\frac{1}{2})^{n-1}$ . The average rate of change from n = 1 to n = 3 is -7.5.

8 0

3 years ago

Read 2 more answers