What is the binary number for 16​

Answer:

x=-11

Step-by-step explanation:

the (x+14) line is half of the (17+x) line, so in order to solve this we would have to set it up like this:

2(x+14)=17+x

distribute

2x+28=17+x

x=-11

Answer:

Step-by-step explanation:

2/(17+x)=1/(x+14)

2x+28=17+x

x+28=17

x=-11

The solution for x in the equation is x = 2b/(2a - c)

The equation is given as

2ax - b = cx + b

Collect the like terms in the above equation

So, we have the following equation

2ax - cx = b + b

Evaluate the like terms in the above equation

So, we have the following equation

2ax - cx = 2b

Factor out x from the equation

x(2a - c) = 2b

Divide both sides by 2a - c

x = 2b/(2a - c)

Hence, the solution for x is x = 2b/(2a - c)

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The exact arc length of the curve y = 3x^(5/2) - 1 from x = 0 to x = 1 is 8/2025.To find the exact arc length of the curve y = 3x^(5/2) - 1 from x = 0 to x = 1, we can use the arc length formula:

L = ∫[from a to b] √(1 + (dy/dx)^2) dx

First, let's find the derivative dy/dx:

dy/dx = (15/2)x^(3/2)

Now we can substitute the derivative into the arc length formula:

L = ∫[from 0 to 1] √(1 + [(15/2)x^(3/2)]^2) dx

Simplifying:

L = ∫[from 0 to 1] √(1 + (225/4)x^3) dx

To integrate this expression, we can make a substitution:

Let u = 1 + (225/4)x^3

Then, du = (675/4)x^2 dx

Rearranging the terms, we have:

(4/675) du = x^2 dx

Substituting the expression for x^2 dx and the new limits of integration, the integral becomes:

L = (4/675) ∫[from 0 to 1] √u du

Integrating √u, we get:

L = (4/675) * (2/3) * u^(3/2) | [from 0 to 1]

L = (8/2025) * (1^(3/2) - 0^(3/2))

L = 8/2025

Therefore, the exact arc length of the curve y = 3x^(5/2) - 1 from x = 0 to x = 1 is 8/2025.

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C. Plot points C and D and draw a ray through them using C or D as an endpoint.

Answer:

2449

Step-by-step explanation:

subtract 2534 and 85

Answer:

#3

Step-by-step explanation:

For this... you just multiply the exponents together to get 6x

   any of the others that do NOT have 6x as a product of exponents is not equiv    ..... so #3 is not equivalent  

Option 3 is not equivalent to the given expression.

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

The given expression is (5²ˣ)³.

Now, (5⁶ˣ)

(5ˣ)⁶

(5²)³ˣ

Therefore, option 3 is not equivalent to the given expression.

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Answer:

Exact Form:x=26/11

Decimal Form:x=2.¯¯¯¯36x

Mixed Number Form:x=2 4/11

Step-by-step explanation:

Answer:

Step-by-step explanation:

You need to factorize each number in the set:

Common factors of both numbers are:

GCF(24, 32) = 8

Answer:

2m = 10

m^2 = 25

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

5times 2 = 10

Answer:

Juan = 93 years.

Gabe = 31 years.

Catherine = 25 years.

Step-by-step explanation:

Let the age of Juan = J

Let the age of Gabe = G

Let the age of Catherine = C

Translating the word problem into an algebraic equation, we have;

\( J = 3G\) ..........equation 1

\( G = C + 6 \) ........equation 2

\( J + G + C = 149 \) ........equation 3

We would solve the linear equations by using the substitution method;

Substituting equation 2 into equation 1;

\( J = 3(C + 6)\)

\( J = 3C + 18\) ........equation 4

Substituting equation 2 and equation 4 into equation 3;

\( (3C + 18) + (C + 6) + C = 149 \)

Simplifying the equation, we have;

\( 5C + 24 = 149\)

\( 5C = 149 - 24\)

\( 5C = 125\)

\( C = \frac {125}{5}\)

C = 25 years.

To find G; from equation 2

\( G = C + 6\)

Substituting the value of "C" into equation 2, we have;

\( G = 25 + 6\)

G = 31 years.

To find J; from equation 1

\( J = 3G \)

Substituting the value of "G" into equation 1, we have;

\( J = 3 * 31\)

J = 93 years.

Therefore, Juan is 93 years old, Gabe is 31 years old and Catherine is 25 years old.

To find the y-coordinate of point P on the unit circle, given that its x-coordinate is 5/13, we can utilize the Pythagorean identity for points on the unit circle.

The Pythagorean identity states that for any point (x, y) on the unit circle, the following equation holds true:

x^2 + y^2 = 1

Since we are given the x-coordinate as 5/13, we can substitute this value into the equation and solve for y:

(5/13)^2 + y^2 = 1

25/169 + y^2 = 1

To isolate y^2, we subtract 25/169 from both sides:

y^2 = 1 - 25/169

y^2 = 169/169 - 25/169

y^2 = 144/169

Taking the square root of both sides, we find:

y = ±sqrt(144/169)

Since we are dealing with points on the unit circle, the y-coordinate represents the sine value. Therefore, the y-coordinate of point P is:

y = ±12/13

So, the y-coordinate of point P can be either 12/13 or -12/13.

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♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

The given statement "An algorithm is a calculation that determines how long it will take to solve a problem." is False.

An algorithm is not just a calculation that determines how long it will take to solve a problem. An algorithm is a step-by-step set of instructions or a process used to solve a problem or perform a specific task. It is a systematic approach that allows a computer or human to break down a problem into smaller, manageable parts and reach a solution effectively.

Algorithms are the foundation of computer programming and can be applied in various fields such as mathematics, data processing, and problem-solving. They can be simple, like finding the largest number in a list, or complex, like solving a Rubik's Cube.

Efficiency is a key factor in evaluating algorithms. The time and resources required for an algorithm to solve a problem can vary greatly depending on the method used. However, the primary purpose of an algorithm is to provide a clear and concise procedure to reach a solution, rather than just estimating the time needed to solve a problem.

In summary, an algorithm is a well-defined process designed to perform a specific task or solve a problem, rather than just calculating the time required to do so. Its effectiveness depends on its efficiency, accuracy, and the simplicity of the steps involved.

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Answer:

(I) The nearest whole number is 317.5 meters per minute.

(ii) One decimal place is 317.5 meters per minute.

(iii) Two decimal places is 317.47 meters per minute.

(iv) Three significant figures is 317 meters per minute.

Note: To find the average velocity, divide the distance traveled by the time it took to travel that distance. 1500 meters / 4.67 minutes = 322.2 m/min. But since you want the answer rounded to different degrees, you can round the answer accordingly.

It takes approximately 55 mins for the sample to decay to one - fourth of its original amount.

In the given statement is:

λ = 2.5 x 10^-2 \(min^{-1}\)is the rate constant of the nucleus

To solve this problem, we use

N(t) = \(N_{0}\)e^-λt

and since we are looking for the time it takes to decay the nucleus to one -fourth of its original amount, we set

N(t) = 1/4 \(N_{0}\) = 0.25\(N_{0}\)

We can substitute this in the decay equation:

0.25\(N_{0}\) =\(N_{0}\) e^-λt

Cancel the like terms

0.25 = e ^-λt

Take the natural logarithm of both sides:

㏑(0.25) =㏑(e^-λt)

㏑(0.25)= -λt

Solve for the time t:

t = - ㏑(0.25)/λ

Substitute the given rate constant :

t = ㏑(0.25) / 2.5 x 10^-2 \(min^{-1}\)

t = -1.3863 /2.5 x 10^-2 \(min^{-2}\)

t = 55.452mins

It takes approximately 55 mins for the sample to decay to one - fourth of its original amount.

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Answer:

d

Step-by-step explanation:

Given the x and y are in direct variation then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 12 when x = 4, that is

12 = 4k ( divide both sides by 4 )

3 = k

y = 3k ← equation of variation

When x = 20 , then

y = 3 × 20 = 60 → d

Answer:

63/65

Step-by-step explanation:

the angles are in fourth and third quadrants so all the sin and cos values are minus

Answer:

Step-by-step explanation:

Here is a pizza, ordered from the Venn Pizzeria on Bayes Street. The pizza is divided into eight slices, and the slices might have pepperoni, mushrooms, olives, ...

Answer:

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

The distance between the two points. (-1, 6). (2.8) is 3.61 units

The points are given as: (-1,6) and (2,8)

The distance is calculated using:

\(d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}\)

This gives

\(d = \sqrt{(-1 -2)^2 + (6 -8)^2}\)

Evaluate the sum of squares

\(d = \sqrt{13}\)

Evaluate the exponent

d = 3.61

Hence, the distance between the two points. (-1, 6). (2.8) is 3.61 units

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The given office complex has a total of 1100 employees. Out of these 1100 employees, only some come to work on any given day, while the rest are absent.

If we consider the employees present at work on any given day as the "state", we can create a probability transition matrix that provides information about the probability of the employees being present or absent in the future. We know that if an employee is at work today, there is an 80% chance that she will be at work tomorrow, and if the employee is absent today, there is a 51% chance that she will be absent tomorrow. Hence, we can construct a probability transition matrix for the given scenario as follows:    [1   0]      [0.51 0.8]. Here, the first row represents the probability of remaining absent while the second row represents the probability of remaining present.  We are given that today there are 913 employees at work. We can use the transition matrix to predict the number of employees at work after 5 days.  To do this, we multiply the transition matrix with itself 5 times. We get the following result after multiplying:    

[1   0]      [0.51 0.8] × [1   0]      [0.51 0.8] × [1   0]      [0.51 0.8] × [1   0]      [0.51 0.8] × [1   0]      [0.51 0.8] =     [1.0264 0.0000]      [0.0000 0.9736]

Hence, the number of employees that will be at work after 5 days is:

(1.0264 × 913) = 937.  

The steady-state vector for the given transition matrix can be found by solving the equation P = P × A where P is the steady-state vector and A is the transition matrix. Hence, we have:      

[p1 p2] = [p1 p2] × [1   0]      [0.51 0.8]

We know that p1 + p2 = 1 since the probability of an employee being either present or absent is 1. Substituting p2 = 1 - p1, we get the following equation:  

p1 = 0.51p1 + 0.8(1 - p1)

Solving this equation, we get: p1 = 0.6098 and p2 = 0.3902. Hence, the steady-state vector is [0.6098 0.3902].

The transition matrix for the given scenario is [1 0][0.51 0.8]. The number of employees that will be at work after 5 days is 937. The steady-state vector for the given transition matrix is [0.6098 0.3902].

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Step-by-step explanation:

When you buy a company's stock, you're purchasing a small piece of that company, called a share. Investors purchase stocks in companies they think will go up in value. If that happens, the company's stock increases in value as well. The stock can then be sold for a profit.

Stocks are an investment that means you own a share in the company that issued the stock. Simply put, stocks are a way to build wealth. This is how ordinary people invest in some of the most successful companies in the world. For companies, stocks are a way to raise money to fund growth, products and other initiatives.

Matrix multiplication, also known as matrix product and the multiplication of two matrices, produces a single matrix. It is a type of binary operation. If A and B are the two matrices, then the product of the two matrices A and B are denoted by: X = AB.

The multiplication is done by adding the elements obtained by multiplying each element of the lines of the first matrix times the elements of the columns of the second matrix (Line× Column).

\(A=\left[\begin{array}{ccc}1&2\\\end{array}\right] _{1*2} \\B= \left[\begin{array}{ccc}4&5&6\\7&8&9\end{array}\right] _{2*3}\)

2=2 yes it is possible to multiply

1*3= order of the resulting matrix

(line*column)

\(A*B=\left[\begin{array}{ccc}4+14&5+16&6+18\\\end{array}\right] _{1*3}\)

\(A*B=\left[\begin{array}{ccc}18&21&24\\\end{array}\right] _{1*3}\)

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Step-by-step explanation:

Probability

Probability is a measure of the likelihood that an event will happen.

When dealing with probability, the outcomes of a process are the possible results. For example, when a die is rolled, the possible outcomes are 1, 2, 3, 4, 5, and 6. In mathematical language, an event is a set of outcomes, which describe what outcomes correspond to the "event" happening. For instance, "rolling an even number" is an event that corresponds to the set of outcomes {2, 4, 6}. The probability of an event, like rolling an even number, is the number of outcomes that constitute the event divided by the total number of possible outcomes. We call the outcomes in an event its "favorable outcomes".

Probability =

Step-by-step explanation:

AB=BC

8x+6=6x+18

2x=12

x=6

so

AB= 48+6=54cm

BC=36+18=54cm

AD=CD

8y+20=12y-8

-4y=-28

y=7

so

AD= 84-8=76cm

CD=56+20=76cm

AE=2x+4y

AE=2×6+4×7

AE=40cm

AC=2×40=80cm

Answer:

Submarine must descend by 12 feet in the fifth minute.Average of the data:Average of a data set is calculated by dividing the sum of terms by the number of the terms of the set.From the table given in picture,Let the distance descended by submarine in 5th minute = x feetAverage distance descended by the submarine =                                                                                 =                                                                                 =  feet per minuteStatement given in the question → "Submarine must descend at an average rate of at least 10 feet per minute"So the inequality for the statement will be,38 + x ≥ 50x ≥ 50 - 38x ≥ 12    Therefore, submarine must descend 12 feet in the 5th minute.

Step-by-step explanation:

Answer:

here

Step-by-step explanation:

when given the first set, you combine like terms so you add 5h and 3h together and -6 and 2 are combined, so the first one is 8h -4. The second set you distribute 2 to 4h and -2 getting you 8h and -4 as well

Answer:

See explanation

Step-by-step explanation:

Let’s manipulate 3h+2-6+5h to show how it is equal to 2(4h-2)

Combine like-terms:

3h+2-6+5h = 8h-4

Then, factor out the greatest common factor (in this case it’s 2):

8h-4 = 2(4h-2)

If you want to verify how to above is true, just combine them again!

Answer: D.

Step-by-step explanation:

You can start out with the form AX = B and solve for matrix X that would yield the answer

Then X = (A^-1)(B)

A = [1    -1]

      [1     1]

A^-1 = (1/(1 - (1)(-1)))*[1    1]

                             [-1   1]

which can be written as (1/2) * [1    1]

                                                  [-1   1]

B = [26]

     [6]

(A^-1)(B) = (1/2)*[1    1] [6]

                        [-1   1] [26]

= (1/2)*[32]

          [20]

= [16]

  [10]

Answer:

194.7787

Step-by-step explanation:

If you know the diameter or radius of a circle, you can work out the circumference. To begin, remember pi is an irrational number and is roughly equal to 3.14.

The formula for working out the circumference of a circle is:

circumference of circle= pi x diameter of the circle  [C=pi(d)]

62(pi)=194.7787

The expression which is equivalent to -10 is the option b, -3 - 7.

Explanation:

We can use subtraction and addition of integers to get the value of the given expression. We can write the given expression as;

-3 - 7 = -10 (-3 - 7)

The addition of two negative integers will always give a negative integer. When we subtract a larger negative integer from a smaller negative integer, we will get a negative integer.

If we add -3 and -7 we will get -10. This makes the option b the correct answer.

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