Simplify the given expression

Please help me Determine the value of base b if (152)b = 0x6A. Please show all steps.

egoroff_w [7]

Answer:

The value of b is, 8

Step-by-step explanation:

To determine the value of b:

Given:

$(152)_b = 0x6A$ ....[1]

Since, 0x6A represents the hexadecimal form.

To convert this hexadecimal form into decimal form:

$(6A)_{16}= (6 \times 16^1)+(A \times 16^0)=(6 \times 16)+(10 \times 1) =96+10 = 106$

⇒ $0x6A=106$ (decimal form)

Now we have to convert this decimal form into octal

8 | 106

8 | 13 | 2

| 1 | 5

1

Then, the octal form we get, $(152)_8$

Substitute this in [1] we have;

$(152)_b = (152)_8$

On comparing both sides we have;

b = 8

Therefore, the value of b is, 8

5 0

3 years ago

Graph the line with slope 7 and y-intercept -7

poizon [28]

Given :-

To graph the line with slope 7 and y intercept -7.

To Find :-

The graph of the line .

Solution :-

Here since the slope of the line is 7 and y intercept is -7 , we can use the slope intercept form of the line to find the equation of the line . The slope intercept form of the line is ,

$\longrightarrow$ y = mx + c

On putting the respective values ,

$\longrightarrow$ y = 7(x) + (-7)

$\longrightarrow$ y = 7x - 7

For the graph see attachment .

6 0

2 years ago

What is 1 + 6r + r > -27

Sav [38]

Answer:

24

Step-by-step explanation:

scradel spindle speed of the mechanical 1

8 0

4 years ago

PLEASE HELP ME!!!! PICTURE IS PROVIDED

sattari [20]

Answer:

pretty sure C

Step-by-step explanation:

sorry if im incorrect information

6 0

3 years ago

A rectangular lawn is 2 m longer than it is wide.

PtichkaEL [24]

Let's breadth be x

Length be x+2

ATQ

$\\ \sf\longmapsto x(x+2)=21$

$\\ \sf\longmapsto x^2+2x=21$

Use completing the square method

$\\ \sf\longmapsto 4(x^2+2x)=4(21)$

$\\ \sf\longmapsto 4x^2+8x=84$

$\\ \sf\longmapsto (2x)^2+2(2x)(2)=84$

$\\ \sf\longmapsto (2x)^2+2(2x)(2)+2^2=2^2+84$

$\\ \sf\longmapsto (2x+2)^2=88$

$\\ \sf\longmapsto 2x+2=\pm\sqrt{88}$

As it's dimensions we will take positive

$\\ \sf\longmapsto 2x+2\approx 9.7$

$\\ \sf\longmapsto 2x=9.7-2=7.7$

$\\ \sf\longmapsto x=3.8$

x+2=3.8+2=5.8

Now

$\\ \sf\longmapsto Perimeter=2(L+B)$

$\\ \sf\longmapsto perimeter=2(3.8+5.8)$

$\\ \sf\longmapsto perimeter=2(9.6)$

$\\ \sf\longmapsto Perimeter=19.2m$

Length of 1 strip=13m

Total strips

$\\ \sf\longmapsto \dfrac{19.2}{13}$

$\\ \sf\longmapsto 1.47strips$

She needs 2 strips

3 0

3 years ago

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