b) Convert 101, into denary number​

Answers

Answer 1

If 101 is given in base b, then in base 10 you have

[tex]101_b = 1\times b^2 + 0\times b^1 + 1\times b^0 = b^2 + 1[/tex]

For instance, if b = 2, then

101₂ = 2² + 1 = 5₁₀

If b = 3, then

101₃ = 3² + 1 = 9₁₀

If b = 4, then

101₄ = 4² + 1 = 17₁₀

The answer depends entirely on the base of the given number.


Related Questions

Form a linear equation for the given statement and draw its graph:

Taxi fare for the first km is charged at Rs 20 and Rs 10 is charged for another extra
1 km.

Answers

Step-by-step explanation:

See the image for solution

Hope it helps

Have a great day

pls answer fast I will give you hundred points​

Answers

1.1:00
2.2:30
3.4:45
4.3:15
5.11:45
6.6:15
7.6:00
8.2:30
9.6:45
10.6:55
11.4:45
12.10:15
Question number 2
1.7:30
2.10:30
3.3:30
4.5:30
5.9:30
6.12:30


You are making a smoothie that calls for 1/4 cup of yogurt. This only makes enough for 1 person and we need enough for 6 total people. How much
yogurt should you add

Answers

Answer:

Step-by-step explanation:

1 2/4

Well an easy way to solve this would be multiply it by 6. 1*6=6 and 4*6=24.

That would be enough for 6 people. Or you could do. 1/4+1/4+1/4+1/4+1/4+1/4 and get the same answer.

Hope this helps and if possible brainliest please?

an elevator in a tall building goes up 7 floors, then down 9 floors, down 4 floors, up 8 floors, anddown 2 floors. now it is on floor 14 on what floor did the elevator start

Answers

Answer:

It started on the same floor, floor 14

Step-by-step explanation:

if it went up 7 then down 9, so negative 2 kinda, then down another 4, so negative 6, then up 8 so positive 2, then down 2, it would've started on floor 14

Answer:

14

Step-by-step explanation:

Let the floor started be 'x'

Equation:-  

=> x + 7 - 9 - 4 + 8 - 2= 14

x + (+7) + (-9) + (-4) + (+8) + (-2) = 14  

x + 7 - 9 - 4 + 8 - 2 = 14  

x + 15 - 15 = 14  

x = 14

Therefore, elevator started from 14th level.  

In 3 years time Sarah will be twice as old as Emma was last year .Emma now 11 years how old is Sarah

Answers

Answer:

Sarah is 25 years old

Step-by-step explanation:

Answer:

Step-by-step explanation:

what are the steps in order needed to solve 3x+4=13
pls help

Answers

Subtract 4 from both sides ( so 4-4 and 13-4) you should now have 3x=9 now 3 divided on both sides you should have an answer of x=3
Answer:

x = 3

Step-by-step explanation:

3x + 4 = 13

Subtract 4 from both sides

3x = 9

Solve for x

x = 9/3

x = 3

Select the equivalent expression.
5
23
=?
42
Choose 1 answer:
A
44
215
410
46
47

Answers

Answer:

The choose B.

[tex] \frac{2^{15} }{ {4}^{10} } [/tex]

I hope I helped you^_^

Given: F(x) = 2x - 1; G(x) = 3x + 2; H(x) = x^2 Find F{G[H(2)]}. 27 71 121

Answers

Answer:

27

Step-by-step explanation:

H(2)=2^2=4

G(H(2))= 3(4) +2=14

F(G(H(2)))=2(14)-1=27

write an expression that means the same as the sentence. "the sum of sixteen and g is equal to seventy divided by seven. "​

Answers

Answer:
16+g=70/7
Explanation:
. . .

a shopkeeper sold 16 articles for a total of £400 and made a profit of £48.00 how much did each article cost him

Answers

Each article costed him £22

A bakery van has an original value of $40,000. The van is depreciating at a rate of 9% each year. About

how much will this van be worth 5 years later?

Answers

Answer:

$22,000

Step-by-step explanation:

9 percent of 40000 is 3600

it depreciates for 5 years so times 5 which gives us 18000

now subtract this amount from its original value and you get 22,000

Solve the equation. Provide your answer as a simplified fraction or round to the nearest hundredth, if necessary.

(-3/2)(4x + 2) + 2x = -30

x = _______ ?

Answers

Answer:

[tex] \frac{ - 3}{2} (4x + 2) + 2x = - 30 \\ \frac{ - 3 \times 4x}{2} + \frac{ - 3 \times 2}{2} + 2x = - 30 \\ - 6x + - 3 + 2x = - 30 \\ - 4x - 3 = -30 \\ - 4x = -27\\ x = \frac{-27}{ - 4} \\ = 6.75 = 7 \\ thank \: you[/tex]

What do you start with?
6(3+8n)=210

Answers

always start with what’s in the parentheses:)

Answer:

PEMDAS

a

r

e

n

t

h

e

s

e

s

Step-by-step explanation:

in pemdas parenthesis are always first so start with the parenthesis and you should get an answer of N=4

Please no links because they dont work :).

Answers

Answer:

C

Step-by-step explanation:

Factor: Something which is multiplied by something else. A factor can be a number, variable, term, or a longer expression. For example, the expression 7x(y+3) has three factors: 7 , x , and (y+3) .

Your answer will be C for short answer if u need a explanation let me know

Question 2
Which results in a net value of 0?
O John has $25 and spends $10
O John gives away 4 out of 5 of his canned sodas
O John buys a shirt for $20 and returns it for a refund of $20
O John makes $8 but owes Tracie $5

Answers

B. John gives away four out of his five sodas

If ST= 16 and RT= 69​, find RS.

Answers

6969696969420 ok using the math law 2.0 I get the answer 420

The cost of renting the Party Barn is $150 flat fee plus an additional $50 per hour. Manny can spend up to $325 to rent
the Party Barn for his birthday party. What are the possible hours that Manny could rent the Party Barn?

Answers

150$ flat fee means that 325-150= 175$ he can spend by the hour. Since it is 50$ and hour, he can spend no more than 3.5 hours in there as 175\50 = 3.5 . If it is by the whole hour, then 3 because he cannnot round up and afford 4.

Someone help me please

Answers

Answer:

option a

Step-by-step explanation:

all positive real numbers

What type of number is the square root of 5?​

Answers

Answer:

That is called an 'irrational algebraic number'

Hope this helps!! :)

sin t sin 3t sin 5t = 1/4(-sin t + sin 3t +sin 7t - sin 9t).​

Answers

Recall that

cos(a + b) = cos(a) cos(b) - sin(a) sin(b)

cos(a - b) = cos(a) cos(b) + sin(a) sin(b)

and by subtracting the first equation from the second, we get

cos(a - b) - cos(a + b) = 2 sin(a) sin(b)

So, we can write

sin(t) sin(3t) = 1/2 (cos(2t) - cos(4t))

and expanding the left side in the original equation gives

sin(t) sin(3t) sin(5t) = 1/2 (cos(2t) - cos(4t)) sin(5t)

… = 1/2 cos(2t) sin(5t) - 1/2 cos(4t) sin(5t)

Similarly, recall that

sin(a + b) = sin(a) cos(b) + cos(a) sin(b)

sin(a - b) = sin(a) cos(b) - cos(a) sin(b)

===>   sin(a + b) + sin(a - b) = 2 sin(a) cos(b)

Then

cos(2t) sin(5t) = 1/2 (sin(7t) + sin(3t))

and

cos(4t) sin(5t) = 1/2 (sin(9t) + sin(t))

So we have

sin(t) sin(3t) sin(5t) = 1/2 cos(2t) sin(5t) - 1/2 cos(4t) sin(5t)

… = 1/2 (1/2 (sin(7t) + sin(3t))) - 1/2 (1/2 (sin(9t) + sin(t)))

… = 1/4 sin(7t) + 1/4 sin(3t) - 1/4 sin(9t) - 1/4 sin(t)

… = 1/4 (-sin(t) + sin(3t) + sin(7t) - sin(9t))

as required.

pls hurrryyyyyyy #42 only and show work

Answers

Answer:

x = 70

Step-by-step explanation:

50 + x + 2x + 100 = 360

Combine like terms

3x + 150 = 360

Subtract 150 from both sides

3x = 210

Divide both sides by 3 to isolate x

x = 70

PLS HELP WILL MAKE FIRST RIGHT ANSWER BRAINLIEST ​

Answers

Answer:

OPTION A:

SEE IMAGE FOR SOLUTION

which of the following functions is graphed below?

Answers

Answer: A

Same as before, the functions are the same.

The first function is used for x ≤ 1, because of the closed circle.

The second function is used for x > 1, because of the open circle.

The correct answer is option (D).

To find from graph below which functions.

What is co-ordinate geometry?

Coordinate geometry is defined as the study of geometry using the coordinate points.

First at the left side of the graph. The shape that it is an [tex]x^{3}[/tex]  function. also the filled in circle means inclusive. so that when x <= (whatever number). It is impossible to tell for sure with this graph if it is on 1. for the first part. the only answer that has less than or equal to is the last one, D. To look at the right side that it is open circle. It is >.

So, the answer is Option (D).

Learn more about co-ordinate geometry here:

https://brainly.com/question/24428694

#SPJ6

Evaluate A2 for A = -4

Answers

Answer:

16

Step-by-step explanation:

A² for A = -4

= (-4)²

= (-4) × (-4)

= 16

Answer:

A² = 16

Step-by-step explanation:

Substitute A = - 4 into the expression

A² = (- 4)² = - 4 × - 4 = 16

Can someone help me with questions 12 and 13 please I am very confused with this two I’ll appreciate it!

Answers

Answer:

12. (2, -3)

13. AH: +15   B: +721   CB: 0   N: +462   WB: -1200

Step-by-step explanation:

12.

When a point is reflected over the x-axis, the y coordinate becomes opposite because you are changing its y value, not its x-value. So (-2, 3) reflecting over the x-axis becomes (-2, -3).

The same concept goes for reflecting over the y-axis. The x coordinate becomes opposite because you are changing its x value. (It's like folding the graph in half and seeing where the point matches up with. So (-2, -3) reflecting over the y-axis becomes (2, -3).

13.

All you have to do is list each artifact and where they were found in relation the sea level (0). If it is above sea level then it is a positive number, below sea level is a negative number.

Arrow head: +15 (since it is 15 feet above sea level)

Woven basket: -1200 (since it is 1200 feet below sea level)

What is the coefficient of y? – 5x + 6y

Answers

Answer:

Five and six is the coefficient

PLEASE HELP ASAPPPPPPPPPPPPPPP

Answers

Answers:

a) -3b)  7/3c)  -1/2d)  1/11e)  undefinedf) 0d)  2/3

========================================================

Explanation:

If the original slope is a/b, then the perpendicular slope is -b/a

We flip the fraction and we flip the sign from positive to negative, or vice versa.

As an example, the slope 1/3 flips its fraction to 3/1 or just 3. Then we flip the sign to -3. So if the original slope is 1/3, then its perpendicular counterpart is -3.

Notice how the two slopes multiply to -1

(1/3)*(-3) = -1

This applies to any pair of perpendicular lines such that neither line is horizontal and neither line is vertical either.

------------------------

If the original slope is some whole number, then rewrite it as a fraction over 1

Example: 2 becomes 2/1

That way we can flip the fraction and the sign

-------------------------

If we had an original slope of 0, then it's the same as 0/1

Flipping the fraction leads to 1/0, but that's undefined. We cannot divide by zero. So that explains the answer to part e).

Going in reverse of this process, any line with undefined slope will be perpendicular to lines of slope 0.

horizontal lines have slope of 0

vertical lines have undefined slopes

-------------------------

For part g), you'll need to convert from a mixed number to an improper fraction

Use this formula

a & b/c = (a*c + b)/c

So this means,

1 & 1/2 = (1*2 + 1)/2 = 3/2

which leads to

-1 & 1/2 = -3/2

Then applying the rule "flip the fraction flip the sign" gets us from -3/2 to 2/3.

Martha earned a gross pay of $1,215.60 last week. Using the fact that Social Security tax is 6.2% of gross pay, determine the amount of Social security tax deducted from Martha’s gross pay.
a.
$7.54
b.
$65.37
c.
$75.37
d.
$75.40


Please select the best answer from the choices provided

A
B
C
D

Answers

Answer:

(c) $75.37

Step-by-step explanation:

SStax = GrossPay * SSrate

SStax = 1215.60 * 6.2%

SStax = 1215.60 * 0.062

SStax = 75.37

What is 127 divided by 4

Answers

The answer is 31.75.

The value of expression 127 divided by 4 would be; 31.5

When 'a' is divided by 'b', then we get from the division is the part of 'a' that each one of 'b' items will get. Division can be interpreted as dividing the number that is being divided into total x parts, where x is the number of parts the given number is divided.

We need to find the expression of  127 divided by 4.

A negative divided by a negative is positive, then;

Therefore, 127 ÷ 4 = 31.5

Therefore, The value of expression 127 divided by 4 would be; 31.5

Learn more about division here:

brainly.com/question/26411682

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Which statement compares the numbers correctly 23.811 > twenty-three and eight hundred eleven thousandths Twenty-three and eight hundred eleven thousandths > 23.811 Twenty-three and eight hundred eleven thousandths < 23.811 Twenty-three and eight hundred eleven thousandths = 23.811

Answers

Answer:

The correct answer is A.

Step-by-step explanation:

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