The sum of the digits of a certain two digit nuber is 12. when you reverse its digits you increase the number by 18.find the number​

Answer:

78

Step-by-step explanation:

The median in a stem-and-leaf diagram is the number that is repeated the most. In this case, the number 78 is repeated 4 times (7 | 8 8 8 8). No other number in the diagram is repeated as much or more than the number 78.

Do not make the mistake of writing the answer as 8 instead of 78.You also want to make sure you don't accidently count 68 which is repeated twice (by looking at the 8's at the end and thinking it's part of the all/rest of the 8's in the diagram).

Hope this helps :)

Answer:

When x=4, ln x-ln y=y-4, so ln 4-ln 4=4-4, which is true. Therefore, when x=4, y=4, and dy/dx=0.

Step-by-step explanation:

So, when x = 4, the value of the differentiable function dy/dx is 0.

A differentiable function of one real variable is one that has a derivative at each point in its domain. In other words, a differentiable function's graph has a non-vertical tangent line at each interior point in its domain.

Here,

Given the equation ln x - ln y = y - 4, we can rearrange it to get ln(x/y) = y - 4. Taking the derivative of both sides with respect to x using the chain rule:

d/dx (ln(x/y)) = d/dx (y - 4)

(1/x) (dx/dx) - (1/y) (dy/dx) = dy/dx

dy/dx = (1/y) (dx/dx) + (1/x) (dy/dx) = (1/y) + (1/x) (dy/dx)

Rearranging and solving for dy/dx:

(x/y) (dy/dx) = (1/y) - (1/x)

dy/dx = (x/y^2) (1/x - 1/y) = (x/y^2) (1/x - 1/y)

We can substitute x = 4 and y = 4 into the expression to find the value of dy/dx when x = 4:

dy/dx = (4/16) (1/4 - 1/4) = 0

So, the value of differentiable function dy/dx when x = 4 is 0.

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The statement says that you've triggered the Penalty APR so that it has now increased to 28.99%. What action triggered this? You failed to pay the minimum payment by the due date.

You failed to make the minimum payment by the due date. This is an action that can result in a message that "you've triggered the Penalty APR so that it has now climbed to 28.99%."

A charge APR is a charge that can be applied if you don't pay your bills on time. It may be set up so that future transactions may be subject to a penalty APR that is higher than the card's standard rate.

If the minimum payment was not made by the due date, Penalty APR would be applied.

But if the card also has a penalty APR and you trigger it, you will likely lose that promotional offer. Federal consumer protections that limit penalty APRs don't apply to small-business credit cards. That means issuers can be more punitive, such as applying penalty APRs sooner than 60 days after not making payments.

Therefore,

The statement says that you've triggered the Penalty APR so that it has now increased to 28.99%. What action triggered this? You failed to pay the minimum payment by the due date.

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Answer:

Ordinary least squares

Step-by-step explanation:

The ordinary least squares means the estimations that done for parameters in a regression model by lowering the sum of the square residuals. It also predicted the coefficient of the regression equation that generate the actual and the expected values of the dependent variable is known as ordinary least squares

Therefore the above represent the answer

There are 60 different possible outcomes if Brody spins all three spinners.

To determine the total number of different possible outcomes when spinning three spinners, we need to multiply the number of outcomes on each spinner. The first spinner has 4 equal-sized sections, the second spinner has 3 equal-sized sections, and the third spinner has 5 equal-sized sections.

Therefore, the total number of possible outcomes is:

4 x 3 x 5 = 60

So there are 60 different possible outcomes if Brody spins all three spinners.

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Answer:

y = 1/2x - 7/2

Step-by-step explanation:

y = 1/2x + b

-3 = 1/2(1) + b

-3 = 1/2 + b

-7/2 = b

Answer:

A

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

146 since the angle is a central that its measure is equal to the arc

The given figure shows one window of the dog house. We are given that the dog house will have 2 windows in all congruent to the one shown on the grid above.

We are also given that one unit on the grid represents 2.5 inches.To find the area taken up by all the windows, we need to find the area of one window and then multiply it by the number of windows. The area of one window can be found by multiplying its length and width. From the figure, we can see that the length of the window is 3 units and the width is 2 units.

The area of one window is :Area of one window = Length x Width= 3 units x 2 units= 6 square unitsNow, since one unit on the grid represents 2.5 inches, the area of one unit is (2.5 in)² = 6.25 square inches. Therefore, the area of one window in square inches is:Area of one window = 6 square units x 6.25 square inches/square unit= 37.5 square inches The dog house will have 2 congruent windows, so the total area taken up by the windows is:Total area = 2 x Area of one window= 2 x 37.5 square inches= 75 square incheshe total area taken up by all the windows is 75 square inches or more than 100 words.

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Answer:

55

Step-by-step explanation:

The measures of the angles are 23, 83, and 74 degrees. 97 degrees is not the measure one of the angle measures of the triangle option (B) is correct.

When two lines or rays converge at the same point, the measurement between them is called a "Angle."

It is given that:

The angle measures of a triangle are 2y + 3 degrees, 9y – 7 degrees, and 7y + 4 degrees.

As we know,

The sum of the interior angle of the triangle is 180 degrees

2y + 3 + 9y - 7 + 7y + 4 = 180

18y = 180

y = 10

2y + 3 = 2(10) + 3 = 23 degres

9y - 7 = 9(10) - 7 = 83 degrees

7y + 4 = 7(10) + 4 = 74 degrees

Thus, the measures of the angles are 23, 83, and 74 degrees. 97 degrees is not the measure one of the angle measures of the triangle option (B) is correct.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

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Yes, two different linear functions can have the same y-intercept. Since the slope of a linear function determines its steepness, two functions with different slopes can still intersect at the same y-intercept.

In a linear function, the equation is typically represented as y = mx + b, where m is the slope and b is the y-intercept. The y-intercept is the value of y when x is equal to zero. It determines the point where the line intersects the y-axis.

While the slope determines the rate at which y changes with respect to x, the y-intercept only represents the starting point of the line. Therefore, it is possible for two different linear functions to have different slopes but intersect at the same y-intercept.

For example, consider two linear functions: y = 2x + 3 and y = -3x + 3. Both functions have a y-intercept of 3, meaning they intersect the y-axis at the point (0, 3). However, their slopes are different (2 and -3, respectively), resulting in two distinct lines with different steepness.

In conclusion, the y-intercept is a specific point on the y-axis where a linear function intersects, and it is possible for two different linear functions to share the same y-intercept while having different slopes.

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The final solution in terms of the inverse Laplace transforms:

\(ƒ(t) = L^{-1}[F(s)]\)

We have,

To solve the given ordinary differential equation (ODE) using Laplace transform, we'll follow these steps:

Step 1: Take the Laplace transform of both sides of the equation.

Step 2: Solve for the Laplace transform of the function ƒ(t).

Step 3: Take the inverse Laplace transform to obtain the solution in the time domain.

Let's go through these steps:

Step 1: Taking the Laplace transform of the ODE, we have:

L[f"(t)] + 6L[f'(t)] + 13L[f(t)] = 48L[t - 5]

Step 2: Applying the Laplace transform properties and using the initial conditions, we get:

\(s^2F(s) - sf(0) - f'(0) + 6(sF(s) - f(0)) + 13F(s) = 48(e^{-5s}/s)\)

Simplifying, we have:

\(s^2F(s) + 6sF(s) + 13F(s) - s(0) - 0 + 6sF(s) - 6(0) + 13F(s) = 48(e^{-5s}/s)\)

Combining like terms, we obtain:

\((s^2 + 6s + 13)F(s) = 48(e^{-5s}/s)\)

Step 3: Solving for F(s), we have:

\(F(s) = 48(e^{-5s}/s) / (s^2 + 6s + 13)\)

To find the inverse Laplace transform of F(s), we can use partial fraction decomposition, but the expression involves complex roots.

Therefore,

The final solution in terms of the inverse Laplace transforms:

\(ƒ(t) = L^{-1}[F(s)]\)

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When an object receives an applied net force, the velocity versus time graph will show a change in velocity over time. Therefore, the velocity versus time graph is a useful tool for analyzing the effects of net force on an object's motion.

When an object receives an applied net force, its velocity versus time graph will show the following characteristics:

1. A non-zero slope: The slope of the velocity vs. time graph represents the acceleration of the object. Since a net force is applied, the object will experience acceleration, and the graph will have a non-zero slope.

2. Linear relationship: If the net force applied is constant, the acceleration will also be constant. This results in a linear relationship between velocity and time on the graph. The slope of the graph will indicate the acceleration of the object, which is directly proportional to the net force applied. As the net force increases, the acceleration and slope of the graph will also increase.

3. Positive or negative slope: The direction of the slope depends on the direction of the applied force. If the net force is in the same direction as the object's initial velocity, the slope will be positive, indicating an increase in velocity. If the force is in the opposite direction, the slope will be negative, indicating a decrease in velocity.

In summary, the velocity vs. time graph of an object receiving an applied net force will have a linear relationship with a non-zero slope, which can be either positive or negative depending on the direction of the force.

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Answer:

1.65

Step-by-step explanation:

SOLUTION

From the question,

Let the principal that Koby paid every month for the 15 months be x

Then what she paid every month is

So for 15 months, to get what she pays, we multiply the above by 15. We have

So, this should be equal to $3,310.00.

Hence the equation becomes

The first option is the correct answer

Answer:2.4

Step-by-step explanation:

Answer:

2.4

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The person's total salary over the first 6 years is $231,750.

To determine the person's total salary over the first 6 years, we need to calculate the sum of the salary for each year.

Given information:

- Initial salary: $34,000

- Annual raise: $1,850

- Number of years: 6

To calculate the total salary, we can use the arithmetic progression formula:

[ S = frac{n}{2} left(2a + (n - 1)dright) ]

Where:

- ( S ) is the sum of the salaries

- ( n ) is the number of terms (years)

- ( a ) is the first term (initial salary)

- ( d ) is the common difference (annual raise)

Substituting the given values, we have:

[ S = frac{6}{2} left(2(34000) + (6 - 1)(1850)right) ]

Simplifying the expression:

[ S = 3 left( 68000 + 5 times 1850 right) ]

[ S = 3 left( 68000 + 9250 right) ]

[ S = 3 times 77250 ]

[ S = 231750 ]

Therefore, the person's total salary over the first 6 years is $231,750.

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Answer:

28.6%

Step-by-step explanation:

Fraction: 40/140=2/7=0.2857

Converting it to percentage: 28.6%

Hope this helps!

Answer:

28.6%

Step-by-step explanation:

Try to found the wrong upper case I

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hint 50-2=

put in comments plz

I seoursly took a photo of dat

(a) (f+g)(x) = f(x) + g(x) = (5x) + (5x - 8) = 10x - 8. Domain of f+g is {x | x is a real number}.
(b) (f-g)(x) = f(x) - g(x) = (5x) - (5x - 8) = 8. Domain of f-g is {x | x is a real number}.

The function f(x) = 5x and g(x) = 5x - 8 is given. Now, we have to find (f+g)(x) and (f-g)(x). The domain of both the functions is also to be found.In part (a), we have (f+g)(x) = f(x) + g(x) = 5x + (5x - 8) = 10x - 8. Hence, (f+g)(x) = 10x - 8.Domain of f+g is {x | x is a real number}.In part (b), we have (f-g)(x) = f(x) - g(x) = 5x - (5x - 8) = 8. Hence, (f-g)(x) = 8.Domain of f-g is {x | x is a real number}.

In the number system, real numbers are only the fusion of rational and irrational numbers. These numbers can generally be used for all arithmetic operations and can also be expressed on a number line. Imaginary numbers, which are sometimes known as unreal numbers since they cannot be stated on a number line, are frequently used to symbolise complex numbers. Real numbers include things like 23, -12, 6.99, 5/2, and so on.

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An annual payment is found approximately $617.34. The correct option is e.. $617.34.

To find the size of your payments, you can use the formula for calculating the equal installments on a loan.

First, calculate the annual payment by dividing the borrowed amount ($2,000) by the present value factor of an annuity due with 4 periods at a 9% interest rate.

Using a financial calculator or spreadsheet, the present value factor of an annuity due with 4 periods at 9% interest rate is 3.2403.

Dividing $2,000 by 3.2403 gives us an annual payment of approximately $617.34.
Therefore, the correct answer is e. $617.34.

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\(angle \: 2 \: = angle \: 5\)

\(3x - 20 = x + 20\)

Add sides 20

\(3x - 20 + 20 = x + 20 + 20\)

\(3x = x + 40\)

Subtract sides x

\( - x + 3x = - x + x + 40\)

\(2x = 40\)

Divide sides by 2

\( \frac{2x}{2} = \frac{40}{2} \\ \)

\(x = 20\)

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The volume of the cylindrical tank for refrigerant with an inside diameter of 14 inches and a height of 16 inches is 10,736 cubic inches.

The volume of a cylinder can be calculated using the formula:

\(\[ V = \pi r^2 h \]\)

where V represents the volume, \(\(\pi\)\) is a mathematical constant approximately equal to 3.14159, r is the radius of the cylinder (which is half the diameter), and h is the height of the cylinder.

In this case, the inside diameter of the tank is given as 14 inches, so the radius can be calculated as \(\(r = \frac{14}{2} = 7\)\) inches. The height of the tank is given as 16 inches. Substituting these values into the formula, we get:

\(\[ V = 3.14159 \times 7^2 \times 16 \approx 10,736 \text{ cubic inches} \]\)

Therefore, the volume of the cylindrical tank for refrigerant is approximately 10,736 cubic inches.

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The area of the region enclosed by one loop of the curve r = sin(10θ) is π/40.

We have to find the area of the region enclosed by one loop of the curve.

The given curve is:

r = sin(10θ)

Consider the region r = sin(10θ)

The area of region bounded by the curve r = f(θ) in the sector a ≤ θ ≤ b is

A = \(\int^{b}_{a}\frac{1}{2}r^2d\theta\)

Now to find the area of the region enclosed by one loop of the curve, we have to find the limit by setting r=0.

sin(10θ) = 0

sin(10θ) = sin0   or    sin(10θ) = sinπ

So θ = 0             or      θ = π/10

Hence, the limit of θ is 0 ≤ θ ≤ π/10.

Now the area of the required region is

A = \(\int^{\pi/10}_{0}\frac{1}{2}(\sin10\theta)^2d\theta\)

A = \(\frac{1}{2}\int^{\pi/10}_{0}\sin^{2}10\theta d\theta\)

A = \(\frac{1}{2}\int^{\pi/10}_{0}\frac{(1-\cos20\theta)}{2}d\theta\)

A = \(\frac{1}{4}\int^{\pi/10}_{0}(1-\cos20\theta)d\theta\)

A = \(\frac{1}{4}\left[(\theta-\frac{1}{20}\sin20\theta)\right]^{\pi/10}_{0}\)

A = \(\frac{1}{4}\left[(\frac{\pi}{10}-\frac{1}{20}\sin20\frac{\pi}{10})-(0-\frac{1}{20}\sin20\cdot0)\right]\)

A = \(\frac{1}{4}\left[(\frac{\pi}{10}-\frac{1}{20}\sin2\pi)-(0-\sin0)\right]\)

A = 1/4[(π/10-0)-(0-0)]

A = 1/4(π/10)

A = π/40

Hence, the area of the region enclosed by one loop of the curve r = sin(10θ) is π/40.

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Answer:

The distance that the tortoise has still to cover is equal to 80 meters.

Step-by-step explanation:

When it says that she has only come 4/5 of the total journey that means that if we were to divide the journey into 5 parts of the same length, the turtle would already be done with 4 parts and has only 1 more part to do before finishing the journey.

Since all the parts are of the same length then the distance of that one part that she still has to cover is equal to...

400 / 5 = 80 m

Therefore the distance that the tortoise has still to cover is equal to 80 meters

Step-by-step explanation:

Given,

A tortoise starts running a length of 400 m.

after one day , the tortise found it has come only 4/5 tortise.

so, the total distance is : 4/5 of 400 m.

then it will come :320m.

Ans: 320m.

The general solution of the given second-order linear ordinary differential equation is y = (c1 + c2x)e^(5x) + 22/25, where c1 and c2 are arbitrary constants.

The given differential equation is y'' - 10y' + 25y = 22. To find the general solution, we first need to find the complementary function by solving the associated homogeneous equation, which is y'' - 10y' + 25y = 0.

Assuming a solution of the form y = e^(rx), we substitute it into the homogeneous equation and obtain the characteristic equation r^2 - 10r + 25 = 0. Solving this quadratic equation, we find that r = 5 is a repeated root.

Therefore, the complementary function is of the form y_c = (c1 + c2x)e^(5x), where c1 and c2 are arbitrary constants.

Next, we find a particular solution for the non-homogeneous equation y'' - 10y' + 25y = 22. Since the right-hand side is a constant, we can assume a constant solution y_p = a.

Substituting y_p = a into the differential equation, we find that 25a = 22, which gives a = 22/25.

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Answer: It's 3 3/6 or 3 1/2 simplified.

Step-by-step explanation:

well, if we divide 21 by 6, we get a quotient of 3 and a remainder of 3, let's use those in the mixed fraction whilst retaining the denominator of 6.

\(\cfrac{21}{6}\qquad \qquad 21\div 6\qquad \stackrel{quotient}{3}\qquad \stackrel{remainder}{\underline{3}}\qquad \implies\qquad 3\frac{\underline{3}}{6}\implies \stackrel{simplified}{3\frac{1}{2}}\)

The percentage of the total hours did Andrea work is,

⇒ 27.1%

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

Total number of hours to work is,

⇒ 5.8 + 8.1 + 7.3 + 8.7 hours

⇒ 29.9 hours

Here, Andre work 8.1 hours.

Hence, The percentage of the total hours did Andrea work is,

⇒ 8.1 / 29.9 × 100

⇒ 27.1%

Thus, The percentage of the total hours did Andrea work is,

⇒ 27.1%

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