1. Positional Notation
2. Doubiling
3. An Online Converter
Step-by-step explanation:
Hey there!!!
We generally multiply using base 2 and keep power that starts from 0 and goes on increasing and add all them at last to convert binary to decimal.
For example:
011110
To convert into decimal follow the steps.
1st step: Multiply with base 2 and keep power from right side starting from 0.
[tex]0 \times {2}^{5} + 1 \times {2}^{4} + 1 \times {2}^{3} + 1 \times {2}^{2} + 1 \times {2}^{1} + 0 \times {2}^{0} [/tex]
2nd step: solve powers and multiply with binary numbers.
This implies;
= 0 + 16 + 8 + 4 + 2 +0
= 30.... is your answer.
Hope it helps....
Which algebraic expression represents "the sum of a number and 9"?
On-g
On+ 3
Ogn
n
Answer
n+9
Step-by-step explanation:
This figure is a square, with side lengths as shown. What are the perimeter and the area of the square?
Answer:
Step-by-step explanation:
Parameters:
As square has all equal sides in his shape.
then length and width will be equal.
parameters will be
LENGTH,LENGTH,WIDTH,WIDTH
Area:
area of square is known as A= a^2
a= parameter of square (as all parameters are equal,you put one parameter to find area of square)
The required perimeter of the square is 4 times side and the area of the square is ( side ) ².
Given that,
To determine the perimeter and the area of the square.
A square is defined as it is a four-sided polygon, having angles of 90° on its vertices, and the length of all four sides is equal.
What is the perimeter?Perimeter is the measure of the figure on its circumference or it is overall boundary length of the figures.
Here,
The perimeter of the square is given as the sum of all sides,
= side + side + side + side
= 4 x side
The area of the square is multiplied of two adjacent side
= side x side
= ( side )²
Thus, the required perimeter of the square is 4 times side and the area of the square is (side)².
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Given: f(x) = 2x + 5 and g(x) = x2 and h(x) = -2x
h(g(f(x))) = _______
Answer:
Step-by-step explanation:
f(x)= 2x + 5
g(2x + 5)= (2x + 5)^2 = 4x^2 + 20x + 25
h(4x^2 + 20x + 25)= -2(4x^2 + 20x + 25)= -8x^2 -40x - 50
Answer
Step-by-step explanation:
the smallest number by which 28 should be multiplied so as to get a perfect square is
Answer:
7.
Step-by-step explanation:
28 = 2^2 * 7.
To multiply 28 to get a perfect square, we can multiply it by 7 to get 2^2 * 7^2, which is 14 squared.
arange the following expressions in order of their value from least to greatest. a. 4 − 6 b. −4 + 6 c.−4 − 6
Answer: C. -10, A -6, B 2
Step-by-step explanation:
What is P= I^2r when solving for I?
Answer:
[tex]I=\sqrt{\dfrac{P}{r}}[/tex]
Step-by-step explanation:
Divide by r and take the square root.
[tex]P=I^2r\\\\\dfrac{P}{r}=I^2\\\\\boxed{I=\sqrt{\dfrac{P}{r}}}[/tex]
please help will mark brainlist
Step-by-step explanation:
Step by Step Solution:
More Icon
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "/-19" was replaced by "/(-19)".
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
s/(-19)-(-29)=0
Step by step solution :
STEP
1
:
s
Simplify ———
-19
Equation at the end of step
1
:
s
——— - -29 = 0
-19
STEP
2
:
Rewriting the whole as an Equivalent Fraction
2.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using -19 as the denominator :
-29 -29 • -19
-29 = ——— = —————————
1 -19
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
s • -1 - (-29 • 19) 551 - s
——————————————————— = ———————
19 19
Equation at the end of step
2
:
551 - s
——————— = 0
19
STEP
3
:
When a fraction equals zero
3.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
551-s
————— • 19 = 0 • 19
19
Now, on the left hand side, the 19 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
551-s = 0
Solving a Single Variable Equation:
3.2 Solve : -s+551 = 0
Subtract 551 from both sides of the equation :
-s = -551
Multiply both sides of the equation by (-1) : s = 551
To estimate your average monthly salary, divide your yearly salary, y, by the
number of months in a year. Write and solve an equation to determine your
yearly salary when your average monthly salary is $4560.
Answer:
$54,720
Step-by-step explanation:
If you make $4560 a month and there are 12 months in a year the equation would be...
$4560 * 12 = yearly salary
4560 * 12 = 54720
So your yearly salary is $54,720
Hope this helps!
ms tabanelli deposits $20,000 in an account that has a 5% annual interest rate compound yearly. If she does not add to or withdraw from the account for 2 years, how much interest will she have earned for the 2-year period?
$2050
Step-by-step explanation:$20000×1.05×1.05 =
= $20000×1.05²
= $20000×1.1025
= $22050
$22050 - $20000 = $2050
The interest earned for a 2-year period is $2050
What is compound interest?Compound interest simply means that the interest associated with a bank account, loan, or investment increases exponentially over time.
Given that, Ms Tabanelli deposits $20,000 in an account that has a 5% annual interest rate compound yearly, she does not add to or withdraw from the account for 2 years,
We know that,
[tex]A = P(1+r)^t[/tex]
A = amount
P = principal
r = rate
t = time
Putting all the values in the formula,
A = 20000(1+0.05)²
A = 20000(1.05)²
A = 20000×1.1025
A = 22050
Interest earned = Amount - Principal
= 22050 - 20000
= 2050
Hence, the interest earned for a 2-year period is $2050
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Mary has some trading cards.
Answer:
Step-by-step explanation:
36 divided by 3. I think.
Answer:
Divide 3 by 36 and simplify your answer
Step-by-step explanation:
Which fraction is simplified fraction of 28/56
Answer:
1/2
Step-by-step explanation:
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
28 * 2 = 56.
Asia has $15.45 to buy chips for a party. Each bag costs $2.13. How many can she buy?
Answer:
She can buy 7 bags of chips
Step-by-step explanation:
just take 15.45 and divide it by 2.13
Answer:
7
Step-by-step explanation:
If you divide both numbers you will get 7.253. When it's a decimal, you will round down, which gives you the answer of 7
Find the 12th Term of the sequence -16, -12,-8,-4...
Answer:
32
Step-by-step explanation:
You can keep adding 4 from -16 for a total of 12 times to get 32
or you can multiply 12*4 to get 48 and subtract 16 from it
hope this is good enough
How many integers satisfy the inequality (x 2 – 4)(x 2 – 10) < 0?
none
two
four
an infinite number
Answer:
4
Step-by-step explanation:
solution: −√10<x<−2 or 2<x<√10
√10=3.16
-3,-2,2,3
The 2 and -2 are the integers satisfy the inequality.
It is required to find the number of integers .
What is inequality?The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’, or < ‘less than’.
Given:
For (x²– 4)< 0;
x²<4
By taking the square root of both sides we have,
√x²<√4
x < ±2
x<2 and x<-2
Also,
x²<10
By taking the square root of both sides we get,
√x²<±√10
x < ±√10
x<√10 and x<-√10
The √10 is not an integer but an irrational number. An integer is a whole number (not a fractional number) that can be positive, negative, or zero.
So we can't take the integer of ±√10.
Therefore, the 2 and -2 are the integers satisfy the inequality.
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How many hundreds are in 200+10+6?
Answer:
200+10+6=216
Step-by-step explanation:
2 hundred and 16 is in word form
Since 200 can be written as a sum of 2 100's, hence there are two hundred in the expression given,
Given the expression 200 + 10 + 6
Each term can be written in words as shown:
200 is two hundred
200 = 100 + 100
Since 200 can be written as a sum of 2 100's, hence there two hundred in the expression given,
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Exercise #2: Jenna is carrying a bucket that holds 2.5 gallons of water. Water weighs 8.34 pounds
per gallon and the bucket itself weights three-quarters of a pound. What is the total combined
weight of the water and bucket that Jenna is carrying! Show the work that leads to your answer
Answer:
21.6 Pounds
Step-by-step explanation:
Multiply 2.5 by 8.34 to get 20.85 pounds of water
add the weight of the bucket (.75) to the weight of the water (20.85) to get 21.6 pounds total
There are three consecutive integers. Four times the smallest integer is equal to six more than three times the smallest integer. What is the smallest of the 3 integers?
Let the smallest integer equal x - 1, the next one equal x, and the last one equal x + 1.
4(x-1) = 3(x-1) + 6
x-1 = 5
x = 6
The smallest integer is x - 1, which is equal to 5. Thus, the smallest of the three integers is 5.
Josh wrote a whole number using the digits 8,4,7,2,9 and 0. Josh's number has a seven in the thousands and a 2 in the tens place. Josh's number is less then 500,000. Is Josh's number greater than 480,000?
Answer:
4 out of the 6 possible numbers Josh wrote were greater than 480,000, while 2 out of the 6 possible numbers are less than 480,000
Step-by-step explanation:
The given parameters are;
The number with which Josh wrote the whole number = 8, 4, 7, 2, 9, and 0
The number in the thousands of the whole number that Josh wrote = 7
The number in the tens of the whole number that Josh wrote = 2
The value of the whole number that Josh wrote < 500,000
Therefore, we have;
The possible numbers in the hundreds of thousands place = 4, and 2
Which gives the following possible combinations;
The number of ways of selecting the first number = 1 way, the number is 4 to make the value less than 500,000
The number of ways of selecting the second number = 3 ways
The number of ways of selecting the third number = 1 way, the number is 7
The number of ways of selecting the fourth number = 2 ways as there are only two numbers left after filling the second place digit
The number of ways of selecting the fifth number = 1 way, the number is 2
The number of ways of selecting the sixth number = 1 ways
The total number of possible number combinations = 3×2×1 = 6 possible numbers, which are;
487920 or 497820 or 407829 or 407928 or 487029 or 497028
Therefore, 2 out of the numbers are less than 480,000, the remaining 4 possible numbers are larger than 480,000.
What is 83/100 simplified?? PLEASE answer quick?
Answer:
Step-by-step explanation:
83/100 is already simplified. You can not make it smaller.
What are the steps to solving the inequality 3b + 8 2 14?
O Subtract 8 from both sides of the inequality. Divide both sides of the inequality by 3.
O Subtract 8 from both sides of the inequality. Change the direction of the inequality. Divide both sides of the
inequality by 3.
O Divide both sides of the inequality by 3. Subtract 8 from both sides of the inequality.
O Divide both sides of the inequality by 3. Change the direction of the inequality. Subtract 8 from both sides of the
inequality.
Answer:
Subtract 8 from both sides of the inequality. Divide both sides of the inequality by 3.
Step-by-step explanation:
The given inequality is 3b + 8 ≥ 14
We need to solve the given inequality
Step 1.
Subtract 8 to the both sides of the inequality
3b + 8 - 8 ≥ 14 -8
3b ≥ 6
Dividing both sides by 3
b ≥ 2
The value of b is greater than and equal to 2.
Hence, the correct option is (a).
Rey baked 144 desserts in 6 1/4 months. Find reys dessert making rate in desserts per month.
Answer:
23 1/25 desserts per month
Which property is illustrated?
x+y=y+x
Answer:
The Communitive Property of Addition
Step-by-step explanation:
The properties are
Communitive: You can switch the order and still get the same answer
Assosiative: You can switch what numbers are in the parentheses and still get the same answer (if you're only adding) a+(b+c)=c+(a+b)
Distributive: (a*b)+(a*c)=a*(b+c)
Identity: You can add a number with 0 and get the same number you started with
y+x=x+y is the communitive property because, no matter which order the numbers are, you get the same answer
A triangular window has area
24 square feet and height six feet.
What is its base?
For which equations are in the solution for x the same number? 15 – х = -3
3
Answer:
Step-by-step explanation:
First equation:
15 - x = - 3
-x = - 3 - 15
-x = -18 (now negative signs on b.s cut eachother)
[x = 18]
Second equation :
15 - x = 3
-x = 3 - 15
- x = -12 ( now negative sign on b.s cut eachother)
[x = 12]
so x = 18 and x = 12 are not same
If angle PQT = (3x + 47)* and angle PQR = (6x - 25)', find the measure of angle SQR.
Since , angle PQT and PQR are in a line .
So , PQT=PQR
(3x + 47) + (6x - 25) = 180
x = 17.56
Now , PQR and SQR are also in same line .
So , PQR + SQR = 180
( 6x - 25 ) + SQR = 180
105.33 - 25 + SQR = 180
SQR = 99.67°
Hence , this is the required solution .
The next two numbers in the series 1 , 4 , 9 , 16 , 25 ,....................are
Answer:
36, 49
explanation:
The pattern in this series is going by perfect squares:
(1)² = 1(2)²= 4(3)² = 9(4)² =16(5)² = 25From this, we can tell the next 2 numbers in the series will be:
(6)²=36(7)²=49Rewrite as a simplified fraction.
1.6 repeating = ?
Pleaseeee help
Answer:
5/3
Step-by-step explanation:
1.6 repeating is equal to 5/3
The repeating decimal 1.6 can be written as the simplified fraction 5/3.
To rewrite the decimal 1.6 repeating (1.6) as a simplified fraction, we can use algebraic manipulation. Let's denote 1.6 as x:
x = 1.6
Now, to eliminate the repeating decimal, we can multiply both sides of the equation by 10 (since there is one digit repeating after the decimal point):
10x = 16.6
Next, subtract the original equation from the multiplied equation to eliminate the repeating decimal:
10x - x = 16.6 - 1.6
This simplifies to:
9x = 15
Finally, divide both sides by 9 to solve for x:
x = 15 / 9
Now, we simplify the fraction:
x = 5/3
Therefore, the repeating decimal 1.6 can be written as the simplified fraction 5/3.
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I need help please 4x-6y=36 how to show my work please help it would mean a lot :)
Answer:
Solving for x:
[tex]x = \frac{3}{2} y + 9[/tex]
Solving for y:
[tex]y = \frac{2}{3} x - 6[/tex]
Step-by-step explanation:
Please see the attached picture for full solution.
RS=2x-8, ST= 11, RT= x+10
Answer:
X=7 ST=11 RT=17
Step-by-step explanation:
RT=RS+ST. RS= 2(7)-8. ST=11
X+10=2x-8+11. =14-8=6. RT= x+10
X+10=2x+3. RS=6. 7+10=17
10=x+3. RT=17
X=7
What is the answer to this?
Answer:
C.) [tex]A=12x-20[/tex]
Step-by-step explanation:
The area formula:
[tex]A=l*w[/tex]
Insert the values:
[tex]A=4*(3x-5)[/tex]
Use the distributive property:
[tex]A=4(3x)+4(-5)\\\\A=12x-20[/tex]
:Done