Can anybody help with this one?

Answer: \((x,y) \to (4x, 4y)\)

Step-by-step explanation:

The rule for dilating a figure by a scale factor of \(k\) centered at the origin is \((x,y) \to (kx, ky)\).

The interesting 5-digit number is 60000. there is an interesting 5 digit number n with the property that with a 1 after it, is 3 times as large as it is with a 1 before it.

Let's call the 5-digit number n. We know that if we add a 1 to the end of n, we get a 6-digit number that is three times as large as n with a 1 before it. In other words, we have:

10n + 1 = 3(100n + 1)

Expanding the right side of the equation, we get:

10n + 1 = 300n + 3

Subtracting 10n from both sides, we get:

1 = 290n + 3

Subtracting 3 from both sides, we get:

-2 = 290n

Dividing both sides by 290, we get:

n = -1/145

However, we are looking for a 5-digit number, so this solution doesn't make sense. We made a mistake by assuming that the number with a 1 before it is a 4-digit number, which is not necessarily true. Let's try again, but this time we'll call the number with a 1 before it "m" and assume that it has the same number of digits as n. Then we have:

10m + n = 3(10n + 1)

Expanding the right side of the equation, we get:

10m + n = 30n + 3

Subtracting n from both sides, we get:

10m = 29n + 3

We know that n is a 5-digit number, so it must be between 10000 and 99999. We can use this to narrow down the possibilities for m. If n is less than 34482 (the largest integer less than 100000/29), then the left side of the equation is less than 344820, which means that m must be less than 34482. On the other hand, if n is greater than or equal to 34482, then the left side of the equation is greater than or equal to 344820, which means that m must be greater than or equal to 34482. Therefore, we have:

34482 ≤ m < n

Let's try some values of n within this range. If n = 40000, then we have:

10m + 40000 = 120001

Subtracting 40000 from both sides, we get:

10m = 80001

This doesn't work, since m is not an integer. Let's try n = 50000:

10m + 50000 = 150001

Subtracting 50000 from both sides, we get:

10m = 100001

This also doesn't work, since m is not an integer. Let's try n = 60000:

10m + 60000 = 180001

Subtracting 60000 from both sides, we get:

10m = 120001

This works! We have found that n = 60000 and m = 12000. Therefore, the interesting 5-digit number is 60000.

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Answer:

It is the price of one ounce.

Step-by-step explanation:

first of all what's the Time Remaining for?

second of all unit rate when it comes to ounces is how much it cost for 1 ounce

It is the price of one ounce.

Answer:

20,701 feet

Step-by-step explanation:    

29,028-8,327= 20,701

Answer:

-10

Step-by-step explanation:

4a-2b=10

-1(4a-2b)=-1*10

-4a+2b= - 10

2b - 4a = - 10

The best statement which proves the above is "If two parallel lines are cut by a transversal, then corresponding angles are congruent."

If two parallel lines are cut by a transversal, then each pair of corresponding angles are equal. This is known as the Corresponding Angles Theorem.

The Corresponding Angles Theorem states that if two parallel lines are cut by a transversal, then the angles formed on the same side of the transversal and on the same side of the parallel lines are equal.

Therefore, the appropriate statement is "If two parallel lines are cut by a transversal, then corresponding angles are congruent."

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The statements that best proves that <XWY≈<ZYW is that if two parallel lines are cut by a transversal, then the alternate interior angles are congruent. That is option D.

When two lines are cut by a transversal, the pairs of angles on either side of the transversal and inside the two lines are called the alternate interior angles .

From the parallelogram given above, <W is congruent or same as < Y.

This is because of the transversal that runs between the two parallel lines that forms the parallelogram.

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Answer: 10:3 , 80/24

Step-by-step explanation:

If we divide it and multiply it in order to make it the same number as 20:6 we can know that 10:3, and 80/24 are the only ones that are equivalent to 20:6!

Step-by-step explanation:

We now going to say let the No. be x

So we say x+6 = 50

x+6-6 = 50-6

x+0 = 44

x= 44

So the number is 44

Plzz brainlest

Answer:

2 feet 8 inches + 1 foot 6 inches = 50 inches

Step-by-step explanation:

The number of feet a person on the carousel travels in 8 revolutions is 1004.80 feet

The circumference of a circle is the distance round the circle. It is the perimeter of the circle.

circumference of a circle = 2πr

2 x 20 x 3.14 = 125.60 feet

Number of revolutions = 8 x 125.60 feet = 1004.80 feet

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Answer:

950 km

Step-by-step explanation:

1 cm = 250 km

3.8 * 250  = 950

Answer:

950 km

Step-by-step explanation:

\(\frac{1}{250} = \frac{3.8}{x}\)

(cross multiply)

250(3.8)= 950

(divide both sides by 1)

950/1=950

Using the Integral Test, the correct choice is B. Since the integral ∫(k+7)dx diverges, the series also diverges.

We are supposed to use Integral Test to determine the convergence or divergence of the series, ∑(k+7)dx.

We can use the Integral Test to test for the convergence of series if the function in the series is continuous, positive, and decreasing for all x greater than or equal to some value N.

The Integral Test states that a series converges if and only if the integral of the series term is convergent, i.e. if the integral of u(x)dx is convergent. Also, if the integral of u(x)dx diverges, the series is divergent.

So we need to check whether the function in the given series is continuous, positive, and decreasing for all x greater than or equal to some value N.

If we integrate the series, ∑(k+7)dx, we get:∫(k+7)dx= ∫k

dx + ∫7dx= (k²/2) + 7x+ C

where C is the constant of integration.

Since the value of C is not given, we cannot say anything about the exact value of the integral.

However, the value of the constant of integration does not matter in this case as we only need to determine whether the integral converges or diverges.

Therefore, we can use the Integral Test to determine the convergence or divergence of the series.

Using the Integral Test, the correct choice is B.

Since the integral ∫(k+7)dx diverges, the series also diverges.

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The height of the pyramid is approximately 46.0 inches.

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, as according Pythagoras's Theorem. These triangle's three sides are termed as the Perpendicular, Base, and Hypotenuse. Because to its position opposite the 90° angle, the hypotenuse in this case is the longest side. When the positive integer sides of a right triangle (let's say sides a, b, and c) are squared, the result is an equation known as a Pythagorean triple.

To find the height of the pyramid, we can use the Pythagorean theorem to calculate the height of one of the triangular faces, and then use similar triangles to find the height of the pyramid.

Let's first find the height of one of the triangular faces:

The slant height of the pyramid is the hypotenuse of a right triangle whose legs are the height of one of the triangular faces and half the length of one side of the base. We can use the Pythagorean theorem to find the height of one of the triangular faces:

h² + (23.8/2)^2 = 88.9²

h² + 283.21 = 7906.81

h² = 7623.6

h = √7623.6

h ≈ 87.3

Now that we know the height of one of the triangular faces, we can use similar triangles to find the height of the whole pyramid:

The height of the whole pyramid is proportional to the height of one of the triangular faces, with the ratio of the heights being equal to the ratio of the slant heights of the whole pyramid and the triangular face:

h/23.8 = 88.9/h

h² = 23.8 * 88.9

h² = 2117.82

h ≈ 46.0

Therefore, the height of the pyramid is approximately 46.0 inches.

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Step-by-step explanation:

Answer:

Substitution ( even though I prefer Common sense)

Answer:

B

Step-by-step explanation:

Answer:

I'm pretty sure its A

Step-by-step explanation:

Because it has same space in between...

Hope I helped.

Answer:  \(a_n = 2n+5\)

==================================================

Work Shown:

\(a_n = a_1 + d(n-1)\\\\a_n = 7 + 2(n-1)\\\\a_n = 7 + 2n-2\\\\a_n = 2n+5\\\\\)

--------------------

Explanation:

We plug in \(a_1 = 7 \ \text{ and } \ d = 2\) as they represent the first term and common difference in that order. The common difference is 2 because the number of chairs increases by 2 each time you move up a row.

To verify that answer, let's plug in the value n = 1

\(a_n = 2n+5\\\\a_1 = 2(1)+5\\\\a_1 = 2+5\\\\a_1 = 7\\\\\)

Which matches with the first term being 7. I'll let you verify other terms.

Answer:

$6625

Step-by-step explanation:

7300 - 1500 + 1000 - 250 + 75

Owing money decreases your net worth.

Having equity or owning assets increases your net worth.

Answer:

5, 240

Step-by-step explanation:

The solution to the given differential equation is y(t) = -1/2e^t + 2te^t + 1/2 + δ(t-2), where δ(t) is the Dirac delta function.

To solve the given differential equation, we will first find the complementary solution, which satisfies the homogeneous equation y'' - 2y' + 5y = 0. Then we will find the particular solution for the inhomogeneous equation y'' - 2y' + 5y = 1 + t + δ(t-2).

Step 1: Finding the complementary solution

The characteristic equation associated with the homogeneous equation is r^2 - 2r + 5 = 0. Solving this quadratic equation, we find two complex conjugate roots: r = 1 ± 2i.

The complementary solution is of the form y_c(t) = e^rt(Acos(2t) + Bsin(2t)), where A and B are constants to be determined using the initial conditions.

Applying the initial conditions y(0) = 0 and y'(0) = 4, we find:

y_c(0) = A = 0 (from y(0) = 0)

y'_c(0) = r(Acos(0) + Bsin(0)) + e^rt(-2Asin(0) + 2Bcos(0)) = 4 (from y'(0) = 4)

Simplifying the above equation, we get:

rA = 4

-2A + rB = 4

Using the values of r = 1 ± 2i, we can solve these equations to find A and B. Solving them, we find A = 0 and B = -2.

Thus, the complementary solution is y_c(t) = -2te^t sin(2t).

Step 2: Finding the particular solution

To find the particular solution, we consider the inhomogeneous term on the right-hand side of the differential equation: 1 + t + δ(t-2).

For the term 1 + t, we assume a particular solution of the form y_p(t) = At + B. Substituting this into the differential equation, we get:

2A - 2A + 5(At + B) = 1 + t

5At + 5B = 1 + t

Matching the coefficients on both sides, we have 5A = 0 and 5B = 1. Solving these equations, we find A = 0 and B = 1/5.

For the term δ(t-2), we assume a particular solution of the form y_p(t) = Ce^t, where C is a constant. Substituting this into the differential equation, we get:

2Ce^t - 2Ce^t + 5Ce^t = 0

The coefficient of e^t on the left-hand side is zero, so there is no contribution from this term.

Therefore, the particular solution is y_p(t) = At + B + δ(t-2). Plugging in the values we found earlier (A = 0, B = 1/5), we have y_p(t) = 1/5 + δ(t-2).

Step 3: Finding the general solution

The general solution is the sum of the complementary and particular solutions:

y(t) = y_c(t) + y_p(t)

y(t) = -2te^t sin(2t) + 1/5 + δ(t-2)

In summary, the solution to the given differential equation is y(t) = -1/2e^t + 2te^t + 1/2 + δ(t-2).

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The amount of Chemical  B needed is 1.6 g.

This refers to a diagram that shows a series of one or more points, lines, line segments, curves, or areas that represents the variation of a variable when compared with that of one or more other variables.

The quantity of Chemical B is plotted against the quantity of  Chemical A.

Chemical B  is plotted on the vertical axis using the scale of 1 cm to represent 2 units. Chemical A is plotted on the horizontal axis using the scale of 1 cm to represent 1 unit.

Therefore, on the graph, the line passing through the origin of the graph shows that when  1.4 g of Chemical A is used  1.6 g of Chemical B is needed.

Chemical B  is plotted on the vertical axis using the scale of 1  cm to represent 2 units.

To get the amount of Chemical B is  on vertical axis =  2 grams

                                                                                             5 boxes

                                                                                       =0.4 g

Tracing the mass of Chemical A used 1.4 g it meets the line passing through the center at 4th line (4th box).

To get the amount of Chemical B is  on vertical axis = amount of Chemical B per box * the number of line (boxes).

To get the amount of Chemical B is  on vertical axis = 0.4 g * 4 lines (boxes)

                                                                                        = 1.6 g

Hence The amount of Chemical  B needed is 1.6 g.

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Answer:

11285

Step-by-step explanation:

Answer:

11,285

Step-by-step explanation:

Line up the numbers so that ther columns add up.

Add the two numbers in the column starting from the right.

The first digit goes to the next column over to the left and the second digit goes directly under the column of the numbers that were added together.

Repeat the steps above till there are no columns left.

Answer:

Answer is 3

Step-by-step explanation:

Given Input numbers are 39, 60, 78

To find the GCF of numbers using factoring list out all the factors of each number

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Greatest Common Factor

We found the factors of 39, 60, 78 . The biggest common factor number is the GCF number.

So the Greatest Common Factor 39, 60, 78 is 3.

Therefore, GCF of numbers 39, 60, 78 is 3

Answer: 10/3 every hour

Step-by-step explanation:

The rate the water level is rising is 3 feet and 4 inches per hour.

Answer:

175 calories

Step-by-step explanation:

75 / 6 = 12.5

12.5 x 14 = 175

x = 12.5 x 14

Ratio = 1 inch equals 20 miles.

2 inches (two cities )

The actual distance between the​ cities

1 inch = 20 miles

2 inches = 40 miles

____________________

or

2 inches * (20 miles / 1 inch) = 40 miles

________________________________

Answer

The actual distance between the cities is 40 miles.​

Answer:

B (-3)

Step-by-step explanation:

Good Luck!