1101000 is a binary number, which can be converted to its decimal equivalent as follows = 26 . all the options given is incorrect.
The binary number is to be transformed by appending three 0's to the end of the number. For example, 11101 is transformed to 11101000.
A binary number is a number that is written in the base 2 numbering system. In the base-2 system, there are only two digits used, 0 and 1, which are also referred to as binary digits or bits.
The decimal equivalent of a binary number can be found by using the following formula:
bn × 2ⁿ+ bn-1 × 2ⁿ-1 + ………+ b1 × 2¹ + b0 × 2⁰
Here, the binary number is to be transformed by appending three 0's to the end of the number. For example, 11101 is transformed to 11101000.
To find the relationship between the transformed number and the original number, we need to convert the given binary number to its decimal equivalent and compare it with the transformed number.11101 is a binary number, which can be converted to its decimal equivalent as follows:
11101 = 1 × 2⁴ + 1 × 2³ + 1 × 2¹ + 0 × 2⁰
= 16 + 8 + 2 + 0
= 26
The transformed number is 11101000. Here, we are appending three 0's to the end of the binary number, so its decimal equivalent will not change. Therefore, the decimal equivalent of the transformed number is also 26.
So, the transformed number is equal in value to the original number. Hence, the long answer of this question is:
The transformed number and the original number are related in such a way that the transformed number is equal in value to the original number.
Therefore, option (D) the transformed value is 1000 times the value of the original number is not correct.
Option (A) the transformed number is 3 times the value of the original number is also not correct.
Similarly, option (B) the transformed number is 4 times the value of the original number and option (C) the transformed number is 8 times the value of the original number are also not correct.
Know more about the binary number
https://brainly.com/question/8649831
#SPJ11
What is slope of the line that passes through the point (0,7)and(2,9)?
the set of all positive integers which leaves remainder 5 when divided by 7
try this- a bacteria culture starts with 200 bacteria and triples in size every 10 minutes (not very pleasant!!) . after 1 hour, how many bacteria are there?
After 1 hour, there would be approximately 145,800 bacteria in the culture.
In this scenario, the bacteria culture starts with 200 bacteria and triples in size every 10 minutes. We need to calculate the number of bacteria after 1 hour, which is equivalent to 60 minutes.
Since the bacteria triple in size every 10 minutes, we can divide the total time (60 minutes) by the growth period (10 minutes) to determine how many times the bacteria triple.60 minutes / 10 minutes = 6 times
Therefore, the bacteria will triple in size 6 times over the course of 1 hour
Starting with 200 bacteria and tripling the size 6 times, we can calculate the final number of bacteria as follows:
200 * (3^6) = 200 * 729 = 145,800
For more such questions on bacteria
https://brainly.com/question/30659080
#SPJ8
Can yall little kids help me with College ????
Answer:
Step-by-step explanation:
so pathetic, I don't even get you
I GIVE BRAINLY. Chelsea recorded in the table below the number of minutes she spent practicing her basketball skills,
Chelsea's Basketball Practice Times
Monday Wednesday
15,35 min
12.6 min
24.666 min 30.05 min
Dubbling
Shooting
Friday
14.125 min
22.9 min
How much longer did Chelsea spend practicing her shooting on Wednesday than she spent practicing her dribbling on
Wednesday
1745 min
17.99 min
28.45 min
42.65 min
Answer:
17.45
Step-by-step explanation:
I just took the quiz good luck! :)
Answer:
17.45
Step-by-step explanation:
edge 2022
.An object moves along a coordinate line, its position at each time t≥0 is given by x(t)=−t2+5t+1. Find the velocity at time t0=5.
a) −15
b) 3
c) 1
d) −5
e) 15
the velocity of the object at time `t₀ = 5` is `-5` (option D).
The object moves along a coordinate line, its position at each time t ≥ 0 is given by `x(t) = -t² + 5t + 1`. We need to find the velocity at time `t₀ = 5`.
The velocity `v(t)` is the derivative of position `x(t)` with respect to time `t`, so we need to differentiate the given position function to find velocity.
`x(t) = -t² + 5t + 1
`Differentiating `x(t)` with respect to `t` using the power rule of differentiation:
`v(t) = d(x(t))/dt = d(-t² + 5t + 1)/dt = -2t + 5`
We need to find the velocity at `t₀ = 5`.
Substituting `t = 5` into the velocity function `v(t) = -2t + 5`, we get:v(5) = -2(5) + 5= -10 + 5= -5
Therefore, the velocity of the object at time `t₀ = 5` is `-5` (option D).
Answer: option D) `-5`
learn more about function here
https://brainly.com/question/2833285
#SPJ11
Giving brainliest to the answer who gives step by step examples clearly!
Simplifying radicals
I am confused on how to get the answer, i believe it is the cubed that is throwing me off on both of these answers, please solve and use step by step? Thanks!
Hi there!
This should be easy,lol!
Answer:
[tex]\sqrt[3]{-128} = \boxed{-128 \sqrt{3} }[/tex] (Decimal: -221.702503)
[tex]\sqrt[3]{162} = \boxed{162 \sqrt{3} }[/tex] (Decimal: 280.592231)
[tex]\sqrt[3]{-1000x^4} = \boxed{-1732.050808x^4}[/tex]
Sorry bout the explanation thingy. Their really long -.-!
But the last one is short so i'll put it for you!
Step-by-step explanation:
∴!For the last one!∴
[tex]\sqrt[3]{-1000x^4}[/tex]
Simplifies to:
[tex]= - 1732.050808 * x^4[/tex]
[tex]= - 1732.050808 * ( x * x * x * x)[/tex]
[tex]= - 1732.050808x^4[/tex]
Have a great day/night!
Answer:
10)
[tex]=-4\sqrt[3]{2}[/tex]
12)
[tex]=3\sqrt[3]6[/tex]
14)
[tex]=-10x\sqrt[3]{x}[/tex]
Step-by-step explanation:
10)
We have:
[tex]\sqrt[3]{-128}[/tex]
We want to simplify the cube root. So, let's start picking at the factors.
Notice that -128 is divisible by 64. So:
[tex]=\sqrt[3]{-1\cdot64\cdot2}[/tex]
Now, notice that 64 is the same as 4³. (-1) is also the same as (-1)³. Therefore:
[tex]=\sqrt{(-1)^3\cdot(4)^3\cdot2[/tex]
We can now expand our root:
[tex]=\sqrt[3]{(-1)^3}\cdot\sqrt[3]{(4)^3}\cdot\sqrt[3]{2}[/tex]
The cubes and the cube roots cancel each other out. This leaves us with:
[tex]=(-1)\cdot(4)\cdot\sqrt[3]2[/tex]
Simplify:
[tex]=-4\sqrt[3]{2}[/tex]
12)
We have:
[tex]\sqrt[3]{162}[/tex]
Again, let's see what we can factor out.
If it's unclear what we can factor out, we can guess and check. Since 162 is even, let's divide it by 2. This yields:
[tex]=\sqrt[3]{2\cdot81}[/tex]
Notice here that 81 is the same as 3⁴. Therefore:
[tex]=\sqrt[3]{2\cdot3^4}[/tex]
We can separate the 3 from the exponent using the properties of exponents:
[tex]=\sqrt[3]{2\cdot3\cdot3^3}[/tex]
Expand:
[tex]=\sqrt[3]{3^3}\cdot\sqrt[3]{2\cdot3}[/tex]
The cube roots and cube will cancel. This leaves us with:
[tex]=3\cdot\sqrt{2\cdot3}[/tex]
Simplify:
[tex]=3\sqrt[3]6[/tex]
14)
We have:
[tex]\sqrt[3]{-1000x^4}[/tex]
Notice here that 1000 is the same as 10³. Also, we can separate an x from the x⁴. Therefore:
[tex]=\sqrt[3]{-1\cdot (10)^3\cdot x^3\cdot x}[/tex]
Also, (-1) is the same as (-1)³. Thus:
[tex]=\sqrt[3]{(-1)^3\cdot (10)^3\cdot x^3\cdot x}[/tex]
Expand:
[tex]=\sqrt[3]{(-1)^3}\cdot\sqrt[3]{(10)^3}\cdot\sqrt[3]{x^3}\cdot\sqrt[3]{x}[/tex]
The cube roots and the cube will cancel. This leaves us with:
[tex]=-1\cdot10\cdot x\cdot\sqrt[3]{x}[/tex]
Simplify:
[tex]=-10x\sqrt[3]{x}[/tex]
And we're done!
What Is X? 16 times x = 1.49
16× X = 1.49
=> X = 1.49 ÷ 16
=> X = 0.093125Jose is 52 ½ inches tall. His younger sister is 13 ⅔ inches shorter than him. How tall is his sister? HELPPLEASE 60 points
Answer:
38.83 inches
Step-by-step explanation:
Jose: 52 1/2
Sister: 52 1/2 - 13 2/3
His sister is 38.83 inches
Answer:
38 5/6 inches
what is the answer?
3⁰+3¹+3²+...+3⁴⁰=?
Answer:
= 1.21577e19
Step-by-step explanation:
I used a calculator that should tell you. :))
QUESTION 9 1 Let A = (2²). 21 9.1 Find the eigenvalues of A. (3) 9.2 Find bases for the eigenspaces of A. (6) 9.3 Is A diagonalisable? Give reasons. (1) 9.4 Find a matrix P and a diagonal matrix D such that P-¹AP = D. (2) 9.5 Find A²3. (You may write 223, for example, as it is without calculating its value.) (4) 9.6 Use the above to solve the following system of differential equations: (6) 3/₁ = x₁ + 2x₂ 3/₂ = 2x1 + x₂
1. The eigenvalues of matrix A are 2 and 3.
2. The bases for the eigenspaces of A are {(1, -1)} and {(3, 1)}.
3. A is diagonalizable because it has distinct eigenvalues and the sum of the dimensions of its eigenspaces is equal to the dimension of the matrix.
4. The matrix P is [1, 3; -1, 1], and the diagonal matrix D is [2, 0; 0, 3], such that P^(-1)AP = D.
5. A^23 is equal to 2^23, which can be written as 223.
6. The system of differential equations can be solved using the matrix equation X' = PX, where X is the vector [x1; x2] and P is the matrix [1, 2; 2, 1].
1. To find the eigenvalues of matrix A, we solve the characteristic equation det(A - λI) = 0, where λ is the eigenvalue. By calculating the determinant, we get (2-λ)(2-λ) - 1 * 1 = 0, which simplifies to λ^2 - 4λ + 3 = 0. Solving this quadratic equation, we find the eigenvalues λ = 2 and λ = 3.
2. To find the eigenspaces of A, we solve the equations (A - λI)X = 0, where X is a non-zero vector in the eigenspace corresponding to eigenvalue λ. For eigenvalue λ = 2, we have (A - 2I)X = 0, which gives the equation [0, 1; -1, 0]X = 0. The solution is X = [1, -1]. Similarly, for eigenvalue λ = 3, we have (A - 3I)X = 0, which gives the equation [-1, 1; -1, 1]X = 0. The solution is X = [3, 1].
3. A matrix is diagonalizable if it has a complete set of eigenvectors. In this case, since A has distinct eigenvalues and the sum of the dimensions of its eigenspaces (2) is equal to the dimension of the matrix (2x2), A is diagonalizable.
4. To find the matrix P and diagonal matrix D, we need to find the eigenvectors corresponding to the eigenvalues of A. The matrix P is formed by taking the eigenvectors as its columns, i.e., P = [1, 3; -1, 1]. The diagonal matrix D is formed by placing the eigenvalues on its diagonal, i.e., D = [2, 0; 0, 3]. Then, we can verify that P^(-1)AP = D.
5. A^23 means raising the matrix A to the power of 23, which is equivalent to raising each element of A to the power of 23. Since A is a 2x2 matrix, A^23 is represented as 223.
6. The system of differential equations can be solved using the matrix equation X' = PX, where X is the vector [x1; x2], X' is the derivative of X with respect to t, and P is the matrix [1, 2; 2, 1]. By solving this equation, we can find the solution for x1 and x2 as functions of t.
Learn more about diagonal matrix here:
https://brainly.com/question/28217816
#SPJ11
Rectangle A has length 3 and width 5. Rectangle B has length 12 and
width 20. Is Rectangle B a scaled copy of Rectangle A? If so, what is the
scale factor?
No, Rectangle B is not a scaled copy of Rectangle A.
Yes, the scale factor is 9.
Yes, the scale factor is 4.
Yes, the scale factor is 3.
Yes, the scale factor is 15.
Answer:
Yes, the scale factor is 4.
Step-by-step explanation:
If you times the length, 3, and the width, 5, by 4, you'll get 12 as your length and 20 as your width.
Which problem situation best matches the equation 10 + 2x = 16?
Situation A: Angie bought peaches for $2 per pound and laundry detergent
for $10. She spent a total of $16. How many pounds of peaches did Angie buy?
Situation B: Angie bought peaches for $10 per pound and laundry detergent
for $2. She spent a total of $16. How many pounds of peaches did Angie buy?
Answer:
situation a and she bought 3 pounds
Step-by-step explanation:
Answer: I would say A because $10 per pound seems to much and laundry detergent to turn out as $16
How to graph y=1/2x on a coordinate plane
Answer:
steps below but I recommend the graphing calculator on demos
Step-by-step explanation:
y= mx + b....... y= 1/2x+ 0
our b is 0 so first plot that
our slope is 1/2 so go up one and to the right twice
keep doing that and you will have your line. USE DESMOS
Mairé is thinking of two numbers. The first number is 14 less than the second number. When she adds them, she gets 40. Help her younger sister, Enya, figure out the numbers.
Answer:
34 and 6 =40
Step-by-step explanation:
40 divided by 2=20 20-14=6 14+20=34
Is this argument VALID or INVALID?
Consider this argument:
If you study then you will pass the test. You didn't study, therefore you will not pass.
Answer
Valid
Step-by-step explanation:
I had no idea what i was answering sorry
Answer:
yes
Step-by-step explanation:
its mostly common sense if you don't study for something you're 99% garrenteed to fail where as if you study you are more prepared and understand the material ahead of time so you have a greater chance of passing.
convert the system to an augmented matrix. then reduce the system to echelon form and determine if the system is consistent. if the system in consistent, then find all solutions.
Hence, the solution of the system of linear equations is;(x, y, z) = (1/3, -1, -8/3)
To convert the system to an augmented matrix and reduce it to echelon form, we will be following the steps below;Consider the given system of linear equations;
x + 3y − 2z = −4,
2x + y + z = 3,3x − y + z = 2T
he augmented matrix for the given system is; \[\left[\begin{matrix}1&3&-2&-4\\2&1&1&3\\3&-1&1&2\end{matrix}\right]\]
To reduce the augmented matrix to echelon form, we will be using the Gaussian elimination method;Performing row operations: -2R1+R2=> R2,-3R1+R3=> R3.
\[\left[\begin{matrix}1&3&-2&-4\\0&-5&5&11\\0&-10&7&14\end{matrix}\right]\]Now, performing row operation, -2R2+R3=> R3. \[\left[\begin{matrix}1&3&-2&-4\\0&-5&5&11\\0&0&-3&8\end{matrix}\right]\]
We now have the matrix in echelon form.The matrix is consistent since there is no row where we have all zeroes except the last column.
The last equation of the augmented matrix is -3z = 8.The solution of z = -8/3 is substituted into the second equation;
-5y + 5 (-8/3) = 11 => y = -1.
The solution of y = -1 and z = -8/3 is substituted into the first equation to obtain the value of x;
x + 3(-1) - 2(-8/3) = -4 => x = 1/3.
For such more question on equations
https://brainly.com/question/29174899
#SPJ8
5/6 ÷ 15/3 x 2/3 (multiplying and dividing fractions)
Answer:
25/27
Step-by-step explanation:
because
5/6÷15/3×2/3
in BODMAS =5/6×15/3×2/3
=150/54=25/27
Rupa practices the Indian craft of mehndi. She buys henna powder to make a dye that
The correct statement regarding the unit rate in this problem is given as follows:
Point (1,2) shows that the unit rate is of $2 per ounce.
What is a proportional relationship?A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable is present.
The equation that defines the proportional relationship is a linear function with slope k and intercept zero given as follows:
y = kx.
The slope k is the constant of proportionality, representing the increase or decrease in the output variable y when the constant variable x is increased by one.
The point of the graph is given as follows:
(1,2) -> x = 1, y = 2.
Hence the unit rate is given as follows:
k = y/x = 2/1 = 2.
A similar problem, also featuring proportional relationships, is presented at https://brainly.com/question/7723640
#SPJ1
At a real estate agency, an agent sold a house for $329,000. The commission rate is 4.5% for the real estate agency and the commission rate for the agent is 20% of the amount the real estate agency gets. How much did the agency make on the house? How much did the agent earn in commission?
The agency earned $14,805 and the agent earned $2,961 commission on selling the house worth $329,000 given that the commission rate is 4.5% for the real estate agency and the commission rate for the agent is 20% of the amount the real estate agency gets.
How to find how much the agency made on the house?
The commission earned by the agency is calculated as follows:
Total Commission = 4.5% × Sale Price Total Commission = 4.5% × $329,000Total Commission = $14,805
Therefore, the agency made $14,805 on selling the house.
How to find how much the agent earned in commission?
The agent commission is calculated as follows:
Commission Paid to Agent = 20% × Total CommissionCommission Paid to Agent = 20% × $14,805Commission Paid to Agent = $2,961
Therefore, the agent earned a commission of $2,961.
For more questions on: commission
https://brainly.com/question/24951536
#SPJ8
A car drives 60 miles per hour. Write and solve an equation to find the number of hours it takes the
car to travel 720 miles.
Answer:840 hours
Step-by-step explanation:You have to Add to get your answer.This is how I got 840:
60+60=120
120+720=840
Your answer is:840 hours
hope this was helpful :)
Which sequence has a common difference of four?
Answer:
An arithmetic sequence has first term 4 and common difference 8
Step-by-step explanation:
which of the following correctly uses absolute value to show the distance between -50 and 12?
A. |-50 - 12| = |-62| = -62 units
B. |-50 + 12| = |-38| = 38 units
C. |-50 + 12| = |-38| = -38
D. |-50 - 12| = |-62| = 62
Answer:
D
Step-by-step explanation:
Distance can't be negative (especially after using absolute value) so A and C are cancelled.
When you are trying to find the distance between the 2, you want to subtract to see how far they are away from each other.
That means B is cancelled and D is the only answer you have left :)
Answer: 62 units
Step-by-step explanation:
What’s the answer to this problem?
Answer: the answer is 0
Step-by-step explanation:
Let the polynomial p be the function of x. The graph of the polynomial has four zeros at
3, -4/3, -1, and 0. Select all the expressions that could represent p.
A. – 2x(x − 3)(x+3)(x + 1)^2
B. 2x(x + 3)(x + 3)(x+1)
C. - x(x − 3)(3x + 4)(2x + 2)
D. - *x(x − 3)(4x + 3)(x + 1)
E. 2x(x − 3)(3x + 4)(x - 1)^2
round 1.456 to nearest hundredths
Answer:
1.46
Step-by-step explanation:
Answer:
Solution steps:
Step 1: Locate and underline the whole number place (.) and look to the right (4):
1.456
Step 2: The digit to the right (4) is 4 or below. So, we replace it by a 0 (zero), then we get 1 as the answer.
In short: 1.456 rounded to the nearest whole number is 1.
Can someone please tell me the reason ASAP!!
Thank you❤️!
Answer:
because base angle of isoscels triangle is congurent.
if one base is right angle then both base be rightangle.
what is the slope of the line?
Answer:
15
Step-by-step explanation:
Its y2 - y1 over x2-x1
__:11= 1/3 :6
Pls fill in the blank number
Answer:
x=11/18 or 0.61
Step-by-step explanation:
Let x represent the blank
[tex]As\ x:11::1/3:6\ form\ a\ proportion,\ we\ may\ use\ the\ ratio\ method\ to\ find\ x.\\\\Hence,\\x:11::1/3:6\\6x=1/3*11\\x=11*1/3*1/6\\x=11*1/18\\x=11/18[/tex]
If f(x) = 2x2 + 1, what is f(x) when x = 3?
O 1
O 7
O 13
O 19
Answer:
19
Step-by-step explanation:
f(x) = 2x^2 + 1
Let x= 3
f(3) = 2 * (3)^2 +1
Exponents first
= 2 * 9+1
Then multiply
= 18+1
Add
= 19
Answer:
THE ANSWER IS 19 JUST TOOK THE UNIT TEST
Step-by-step explanation:
