2 years ago

Determine the value of base x if (211)x = (6A)16

1 answer:

4 0

$211_x=2x^2+x+1$
$6A_{16}=106_{10}$

$\implies 2x^2+x+1=106\iff 2x^2+x-105=(x-7)(2x+15)=0$

This has two solutions, $x=7$ and $x=-\dfrac{15}2$ .

You might be interested in

At a gymnastics meet, three judges evaluate the balance beam performances of five gymnasts, using a scale from 1 to 10, where 10

Art [367]

Answer:

As 2.551 < 3.84 therefore we reject H0.

As 44.803 > 4.46 so we accept null hypothesis.

Step-by-step explanation:

The answer is attached.

There are three judges so v1 = 3-1= 2 and v2 = (4*2)= 8

There are five gymnasts so v1 = 5-1= 4 and v2= (4*2)= 8

For alpha = 0.05 we find the value of F1 and F2 from the table.

Download docx

6 0

2 years ago

Bernardo and Ogechi were asked to find an explicit formula for the sequence 1\,,\,8\,,\,64\,,\,512,...1,8,64,512,...1, comma, 8,

MatroZZZ [7]

Answer:

$h_{n}=1.(8)^{n-1}$ will be the correct formula for the given sequence.

Step-by-step explanation:

The given sequence is 1, 8, 64, 512...........

The given sequence is a geometric sequence having a common ratio (r) of

r = $\frac{\text{Second term}}{\text{First term}}$

r = $\frac{8}{1}=8$

Since explicit formula of a geometric sequence is given by

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

where $T_{n}$ = nth term of the sequence

a = first term of the sequence

r = common ratio of the successive term to the previous term

Now we plug values of a and r in the formula to get the explicit formula for the given sequence.

$T_{n}=1.(8)^{n-1}$

Therefore, if Bernardo is saying that the formula of the sequence is

h(n) = $1.(8)^{n-1}$ then he is correct.

7 0

2 years ago

Read 2 more answers

843219 to the power of 100 is multiplied out,what is its units digit?

kondaur [170]

Answer:

Step-by-step explanation:

We will consider only the last digit multiplication and the pattern.

When we multiply 843,219 with 843,219, we have

9 * 9 = 81 [1 is important]

1 * 9 = 9

9 * 9 = 81 [1 is important]

So when we multiply them out with each other, we have a pattern of

9, 1, 9, 1 ... goes on

So if we multiply 100 times, what will be the last digit of the series 9, 1, 9, 1 .... it will be 1

hence, last digit is 1

5 0

2 years ago

Read 2 more answers

Four classmates were asked to decorate 1/5 of the bulletin board in a classroom. They divided the section to be decorated equall

svetoff [14.1K]

I need this answer too

8 0

2 years ago

Read 2 more answers

Question Please help. Alina spent no more than $45 on gas for a road trip. The first gas station she used charged $3.50 per gall

Nadusha1986 [10]

3.5x + 4y = 45 x=6, y= 6 is the most likely answer. Non whole number variations would be: x=8, y=4.25 x=4, y=7.75

4 0

2 years ago