What is 52 percent of 210?

Step-by-step explanation:

pure acid is a 100% acid solution.

x = ml of 100% solution

1×x + 0.3×400 = 0.75×(400 + x)

x + 120 = 300 + 0.75x

0.25x = 180

x = 720 ml

we must add 720 ml of pure acid to the 400 ml of 30% solution to create a 75% solution (1,120 ml in total).

Answer:

(iv) 343

Step-by-step explanation:

\(\frac{1}{7} x = 49\\\\Multiply \ by \ 7 \ on \ both \ sides. \\\\7 \times \frac{1}{7} \times x = 49 \times 7\\\\x = 343\)

Answer:

Step-by-step explanation:

1/7*x=49

x/7=49

x=49*7

x=343

Answer:

9?

Step-by-step explanation:

Answer:

82

Step-by-step explanation:

All honesty I did 2*42=82 :) <3

The steps to help him calculate his gross pay are:

1) Determine the actual number of working hours.

2) Multiply the hours worked by the hourly rate.

3) If there is overtime work, it is calculated by multiplying the overtime hours worked by the overtime wage rate.

4) Add the regular wage and the overtime wage to calculate the total wage for this wage period. 

Gross pay wages are the total amount an employee earns for the hours they work. This includes full wages before taxes and deductions. Gross wages include regular hourly wages and salaries, as well as overtime, bonuses, or reimbursements from employers.

To find the total wage, multiply the number of hours worked by the wage rate. Consider additional income, such as overtime. 1) The following steps show how gross wages are calculated for hourly wages.

1) Determine the actual number of working hours.

2) Multiply the hours worked by the hourly rate.

3) If there is overtime work, it is calculated by multiplying the overtime hours worked by the overtime wage rate.

4) Add the regular wage and the overtime wage to calculate the total wage for this wage period. 

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Answer:

adult-135

kid-27

Step-by-step explanation:

13.50*10=135

4.50*6=27

The general solution to the differential equation y' - 2y + 3e^t = 0 is: y = Ce^(2t) - e^t.  As t approaches infinity, the solution approaches infinity because the dominant term in the solution is e^(2t).

The given differential equation is:

y' - 2y + 3e^t = 0

We can first find the homogeneous solution by setting the right-hand side equal to zero:

y' - 2y = 0

This is a separable differential equation that can be solved by separating variables:

dy/y = 2dt

Integrating both sides, we get:

ln|y| = 2t + C

where C is an arbitrary constant. Solving for y, we get:

y = Ce^(2t)

This is the general solution to the homogeneous equation.

Now, we need to find a particular solution to the non-homogeneous equation. Since the non-homogeneous term is a constant times e^t, we can guess a particular solution of the form:

y_p = Ae^t

where A is a constant. Substituting this into the original equation, we get:

Ae^t - 2Ae^t + 3e^t = 0

Simplifying, we get:

A = -1

Therefore, the particular solution is:

y_p = -e^t

The general solution to the non-homogeneous equation is the sum of the homogeneous solution and the particular solution:

y = Ce^(2t) - e^t

To determine how solutions behave as t approaches infinity, we can analyze the behavior of the exponential terms. Since e^(2t) grows much faster than e^t, the dominant term as t approaches infinity is e^(2t). Therefore, the solution approaches infinity as t approaches infinity.

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Answer:

Angle BAO = 42 degrees

Answer:

\( x {4}\)

Step-by-step explanation:

easy math

Suppose the investment is expected to generate income at the rate of R(t)=3+5t thousands of dollars per year for the next 25 years. We are required to find the future value of income from this investment if the prevailing interest rate is 4% per year compounded continuously.

We know that, the future value of an investment is given by:A = P × e^(rt),

Where,

A = Future value of the investment

P = Principal amount invested

r = Annual interest rate (as a decimal)

t = Time (in years)

Thus, we have the following values:

A = Future value of investment

P = 0r = 0.04t = 25

Now, let us calculate the future value of the investment using the above formula.

A = P × e^(rt)A = 0 × e^(0.04 × 25)A = 0 × eA = 0

Hence, the future value of the income from this investment will be $0.

Next, let us consider another case where an investment is expected to generate income at the rate of R(t)=1+4t thousands of dollars per year for the next 10 years. We are required to find the present value of the income from this investment if the prevailing interest rate is 2% per year compounded continuously.

Present value = thousands of dollars

We know that, the present value of an investment is given by:

P = A × e^(-rt),

Where,

P = Present value of the investment

A = Future value of investmentr = Annual interest rate (as a decimal)

t = Time (in years)

Thus, we have the following values:

P = Present value of the investment

A = 0r = 0.02t = 10

Now, let us calculate the present value of the investment using the above formula.

P = A × e^(-rt)P = 0 × e^(-0.02 × 10)P = 0 × e^(-0.2)P = 0 × 0.8187P = 0

Hence, the present value of the income from this investment will be $0.

Future value of the income from the first investment = $0

Present value of the income from the second investment = $0

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Answer:

Zero slope

Step-by-step explanation:

When it is reduced you end up with 0/4 which is a zero slope.

Given differential equation is y"-9y'+20y=0We can write this equation asy²-9y+20y=0Here, a = 1, b = -9, and c = 20Now, we have to find the roots of this equation.

Now, let us find the value of the discriminant. b²-4ac= (-9)²-4(1)(20)= 81-80= 1Since the value of the discriminant is greater than zero, therefore, we have two real and distinct roots for this equation.Roots are given by the quadratic formula.x= (-b±√(b²-4ac))/2aOn substituting the values of a, b, and c we get,x = (9±√1)/2Now,x1= 5x2= 4/1These roots give two linearly independent solutions as follows: y1=e^5t and y2=e^4tTherefore, the general solution to the differential equation is:y=c1e^5t+c2e^4tWhere c1 and c2 are constants.

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The given differential equation is y"-9y'+20y=0.

Let us use the characteristic equation to solve this differential equation.

The characteristic equation of y"-9y'+20y=0 isr² - 9r + 20 = 0.

Solve for r by factoring the characteristic equation(r - 5)(r - 4) = 0. 

Therefore, r = 5 and r = 4.

Thus, the general solution of the differential equation y"-9y'+20y=0 isy(x) = c₁e⁴x + c₂e⁵x

where c₁, c₂ are constants.

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The amount of white sand in the container is 42.39 in³.

A cylinder is a three-dimensional object. It is a prism with a circular base.

The first step is to determine the volume of the cylinder

Volume of a cylinder = πr²h

Where:

1.5² x 3.14 x 16 = 113.04 in³

Now determine total amount of blue and red sand in the container

Amount of blue and red sand = 42.39 + 28.26 = 70.65 in³

Amount of white sand in the container = 113.04 in³ -  70.65 in³ = 42.39 in³

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100 : 110 : 121 is the ratio must they invest money at 10% per annum compounded yearly so that each gets same sum at the age of their retirement

percentage, a relative value indicating hundredth parts of any quantity.

Given,

Let P, R and S are three persons with ages 26 years, 27 years and 28 years

We need to find the ratio must they invest money at 10% per annum compounded yearly so that each gets same sum at the age of their retirement

x(11/10)ⁿ=y(11/10)ⁿ⁻¹=3(11/10)ⁿ⁻²

x.121/100=y.11/10=3

x/100=y/110=3/121

Hence,  100 : 110 : 121 is the ratio must they invest money at 10% per annum compounded yearly so that each gets same sum at the age of their retirement

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K-Means uses Euclidean distance. The output includes average and maximum distances, separation, and convergence after iterations related to the number of starting seeds.

In the output of a K-Means cluster analysis, "Ave Distance" refers to the average distance between the data points and their assigned cluster centroids.

"Max Distance" represents the maximum distance between any data point and its assigned centroid. "Separation" indicates the distance between the centroids of different clusters, reflecting how well-separated the clusters are.

Convergence in K-Means clustering refers to the point when the algorithm reaches stability and the cluster assignments no longer change significantly.

When the video mentions convergence after 4 iterations, it means that after four rounds of updating cluster assignments and re-computing centroids, the algorithm has achieved a stable result.

The "Number of starting seeds" option determines how many initial random seeds are used for the algorithm, and it can affect the number of iterations needed for convergence. Increasing the number of starting seeds may result in faster convergence as it explores different initial configurations.

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Answer:

The answer is m<1 = 106 degrees

Step-by-step explanation:

The two angles are supplementary

180-74=106

hope this helps!

Answer:

Area = 2x³ + 5x² - 1

Step-by-step explanation:

Given the length of a rectangle, (2x + 1), and its width of (x² + 2x - 1):

The formula for solving the area of a rectangle is given by:

Area of a rectangle = Length × Width

In order to solve for the area of a rectangle, simply multiply the given length by the width.

length (L) = (2x + 1)

width (W) = (x² + 2x - 1)

A = L × W

A = (2x + 1)(x² + 2x - 1)

Distribute the binomial, (2x + 1), into the trinomial, (x² + 2x - 1):

A = 2x³ + 4x² - 2x + x² + 2x - 1

Combine like terms:

A = 2x³ + 5x² - 1

Therefore, the area of a rectangle is: 2x³ + 5x² - 1.

Answer:

x = 2

Step-by-step explanation:

Answer: (2,5)

Step-by-step explanation: set the numbers equal to each other x+3=5, x=2, so (x,y) = (2,5)

Answer:

25

Step-by-step explanation:

5×5=25 5+5=10+5+5=20+5=25

Answer:

  (c)  (15, -30)

Step-by-step explanation:

A proportional relationship has the equation ...

  y = kx

The value of the constant of proportionality is the ratio of y to x:

  k = y/x = 40/-20 = -2

__

The point that is on the line y = -2x is the point (15, -30).

The solution to the equation \((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\) is 10.3891

From the question, we have the following parameters that can be used in our computation:

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\)

Using the following trigonometry ratio

sin²(x) + cos²(x) = 1

We have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = (\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + 1 + e^2\)

The sum to infinity of a geometric series is

S = a/(1 - r)

So, we have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = \frac{1/2}{1 - 1/2} + \frac{9/10}{1 - 1/10} + 1 + e^2\)

So, we have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 1 + 1 + 1 + e^2\)

Evaluate the sum

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 3 + e^2\)

This gives

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 10.3891\)

Hence, the solution to the equation is 10.3891

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¿Cuanto tardara en tocar 10 campanadas?

The volume of the cuboid is given as length x breadth x height thus, the breadth of the given cuboid will be 17 cm.

Volume is the scalar quantity of any object that specified occupied space in 3D.

For example, the space in our room is referred to as volume.

Volume has units of cube example meter³,cm³, etc.

The volume of the cuboid = length × breadth × width

19 x breadth x 16 = 5168

Breadth = 17 cm

Hence "The breadth of the cuboid will be 17 cm since the volume of the cuboid is given as length x breadth x height.".

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Answer:

8

Step-by-step explanation:

24 divided by 3 = 8

Answer:

The right answer is C.

Step-by-step explanation:

The parent function is:

\(f(x)=x^3\)

If something is subtracted from variable \(x\) it means the graph shifted toward right and something is added to \(y\) value then the graph is shifted up.

\(f(x)=(x-8)^3\)

graph shifted toward right by \(8\) units right

\(f(x)=(x-8)^3+3\)

graph shifted toward right by \(3\) units up

Thus the new function is:

\(g(x)=(x-8)^3+3\)

Answer:

A.

Step-by-step explanation:

5 x 14 = 70

x^1 x x^7 = 8

y^0 x y^5 = 5

The three points to plot for the equation 2y = 3x + 11 are (0, 5.5), (1, 7), and (-1, 4).

To graph the equation 2y = 3x + 11, we can choose any three points that satisfy the equation. Let's select three points and plot them on a coordinate plane:

Point 1:

Let's set x = 0 and solve for y:

2y = 3(0) + 11

2y = 0 + 11

2y = 11

y = 11/2 = 5.5

So, the first point is (0, 5.5).

Point 2:

Let's set x = 1 and solve for y:

2y = 3(1) + 11

2y = 3 + 11

2y = 14

y = 14/2 = 7

The second point is (1, 7).

Point 3:

Let's set x = -1 and solve for y:

2y = 3(-1) + 11

2y = -3 + 11

2y = 8

y = 8/2 = 4

The third point is (-1, 4).

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