Convert base 2 number 10001 in decimal?

Answers

Answer 1

Answer: To convert a base 2 (binary) number to decimal, we can use the following method:

Starting from the right, multiply the value of each binary digit (0 or 1) by 2 raised to the power of its position, where the position of the rightmost digit is 0, the one to its left is 1, and so on. Then, add up these values to get the decimal equivalent.

For the binary number 10001:

1 * 2^4 + 0 * 2^3 + 0 * 2^2 + 0 * 2^1 + 1 * 2^0

= 16 + 0 + 0 + 0 + 1

= 17

Therefore, the decimal equivalent of the binary number 10001 is 17.

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Tyler also wants to paint the walls of his home. He buys 6 packages of paint rollers, each of which contains 6 paint rollers. How many paint rollers are there in all? Write your answer as an exponential expression.
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An SUV costs $27,070 and costs an average of $0.18 per mile to maintain. A hybrid model of the SUV costs $32,880 and costs an average of $0.13 per mile to maintain. After how many miles will the cost of the gas-only SUV exceed the cost of hybrid?

Wei has $150.00 to make a garland using 60-cent balloons. He wants to purchase 100 blue balloons and some number of white balloons. He learns that the white balloons are on sale for half price. He writes and solves an equation to find the number of white balloons he can purchase.Which models can be used to solve the problem?

Answers

Answer:

$60+0.3x=150$

Step-by-step explanation:

Total money Wei has = $150

Each blue balloon costs = $0.60

Let the number of white balloons be = x

Each white balloon costs = $0.30

Now Wei purchased 100 blue balloons and have $150 to buy both balloons.

So, money spent on blue balloons is = $100*0.60=60$

Amount spent on white balloons is = 0.30x

So, for the total cost, the equation that can be used is :

$60+0.3x=150$

Upon solving this we get,

$0.3x=150-60$

$0.3x=90$

x=300

Hence, Wei can buy 300 white balloons.

0.60b + 0.30w = 150; 60 + 0.30w = 150

An object with a mass of 6.3 kg has a mass of 7.1newtons applied to it, what is the resulting acceleration of the object

Answers

Since, a = F (net) / m (net)
Therefore a = 7.1 / 6.3 = 1.13 m/sec^2

The summer drama club charge $4 per student or admission to a play. The club borrowed $400 from parents to pay for costumes and props. After paying back the parents, the drama club had $100 left. How many students attended the summer play?

Answers

25 students attended the play, $4 per student with a total of $100, 100 / 4 = 25

Two lines, C and D, are represented by the equations given below:Line C: y = x + 12
Line D: y = 3x + 2

Which of the following shows the solution to the system of equations and explains why?

(4, 14), because one of the lines passes through this point
(4, 14), because the point lies between the two axes
(5, 17), because both lines pass through this point
(5, 17), because the point does not lie on any axis

Answers

Bought lines need to pass same point, so:

x+12 = y = y = 3x+2
x+12=3x+2 |-2
x+10=3x |-x
10=2x |/2
5=x
x+12 = y => 5+12 = y =>y = 17

(x,y) => (5,17)

Answer:

5,17

Step-by-step explanation:

Find the solution if x=6, y=8, and z=3
2x + 3y - z

Answers

Answer:

Step-by-step explanation:

2(6) + 3(8) - 3

12 + 24 + - 3 = 33

Answer:

Step-by-step explanation:

2(6) +3(8) -3

What is the slope of the ordered pair?(6,-12) (15,-3)

a. 2
b. -1
c. -2
d. 1

Answers

The answer would be d

d.1

Step-by-step explanation:

because

-3-(-12)=9

15-6=9

9÷9=1

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